/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 3-rule system { 0 -> , 0 1 -> 2 0 0 , 2 2 -> 1 2 1 0 } The system was reversed. After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 3-rule system { 0 -> , 1 0 -> 0 0 2 , 2 2 -> 0 1 2 1 } Loop of length 36 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ba.caaaaa rule ba-> aac at position 0 .aac.caaaaa rule cc-> abcb at position 2 .aaabcb.aaaaa rule ba-> aac at position 5 .aaabcaac.aaaa rule a-> at position 5 .aaabcac.aaaa rule a-> at position 5 .aaabcc.aaaa rule cc-> abcb at position 4 .aaababcb.aaaa rule a-> at position 4 .aaabbcb.aaaa rule ba-> aac at position 6 .aaabbcaac.aaa rule a-> at position 6 .aaabbcac.aaa rule a-> at position 6 .aaabbcc.aaa rule cc-> abcb at position 5 .aaabbabcb.aaa rule ba-> aac at position 4 .aaabaacbcb.aaa rule a-> at position 4 .aaabacbcb.aaa rule ba-> aac at position 8 .aaabacbcaac.aa rule a-> at position 8 .aaabacbcac.aa rule a-> at position 8 .aaabacbcc.aa rule cc-> abcb at position 7 .aaabacbabcb.aa rule a-> at position 7 .aaabacbbcb.aa rule ba-> aac at position 9 .aaabacbbcaac.a rule a-> at position 9 .aaabacbbcac.a rule a-> at position 9 .aaabacbbcc.a rule cc-> abcb at position 8 .aaabacbbabcb.a rule ba-> aac at position 7 .aaabacbaacbcb.a rule a-> at position 7 .aaabacbacbcb.a rule ba-> aac at position 6 .aaabacaaccbcb.a rule cc-> abcb at position 8 .aaabacaaabcbbcb.a rule ba-> aac at position 14 .aaabacaaabcbbcaac. rule a-> at position 14 .aaabacaaabcbbcac. rule a-> at position 14 .aaabacaaabcbbcc. rule cc-> abcb at position 13 .aaabacaaabcbbabcb. rule ba-> aac at position 12 .aaabacaaabcbaacbcb. rule ba-> aac at position 11 .aaabacaaabcaacacbcb. rule a-> at position 11 .aaabacaaabcacacbcb. rule a-> at position 11 .aaabacaaabccacbcb. rule cc-> abcb at position 10 .aaabacaaababcbacbcb. rule ba-> aac at position 9 .aaabacaaaaacbcbacbcb.