0.00/0.32 NO 0.00/0.33 0.00/0.33 0.00/0.33 The system was reversed. 0.00/0.33 0.00/0.33 Remains to prove termination of the 3-rule system 0.00/0.33 { a -> , 0.00/0.33 b a -> a c b , 0.00/0.33 c a c -> a a b } 0.00/0.33 0.00/0.33 0.00/0.33 Loop of length 12 starting with a string of length 7 using right expansion 0.00/0.33 and the encoding {a=a, b=b, c=c}: 0.00/0.33 0.00/0.33 .ba.aaaaa 0.00/0.33 rule ba -> acb at position 0 0.00/0.33 .acb.aaaaa 0.00/0.33 rule ba -> acb at position 2 0.00/0.33 .acacb.aaaa 0.00/0.33 rule cac -> aab at position 1 0.00/0.33 .aaabb.aaaa 0.00/0.33 rule ba -> acb at position 4 0.00/0.33 .aaabacb.aaa 0.00/0.33 rule ba -> acb at position 6 0.00/0.33 .aaabacacb.aa 0.00/0.33 rule cac -> aab at position 5 0.00/0.33 .aaabaaabb.aa 0.00/0.33 rule ba -> acb at position 8 0.00/0.33 .aaabaaabacb.a 0.00/0.33 rule ba -> acb at position 7 0.00/0.33 .aaabaaaacbcb.a 0.00/0.33 rule ba -> acb at position 11 0.00/0.33 .aaabaaaacbcacb. 0.00/0.33 rule cac -> aab at position 10 0.00/0.33 .aaabaaaacbaabb. 0.00/0.33 rule ba -> acb at position 9 0.00/0.33 .aaabaaaacacbabb. 0.00/0.33 rule cac -> aab at position 8 0.00/0.33 .aaabaaaaaabbabb. 0.00/0.37 EOF