/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 3-rule system { 0 -> 1 , 0 1 2 -> 2 2 1 0 0 , 2 2 -> } 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 , 2 1 0 -> 0 0 1 2 2 , 2 2 -> } Loop of length 14 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .cba.babaa rule cba-> aabcc at position 0 .aabcc.babaa rule cba-> aabcc at position 4 .aabcaabcc.baa rule a-> b at position 4 .aabcbabcc.baa rule cba-> aabcc at position 3 .aabaabccbcc.baa rule cba-> aabcc at position 10 .aabaabccbcaabcc.a rule a-> b at position 10 .aabaabccbcbabcc.a rule cba-> aabcc at position 9 .aabaabccbaabccbcc.a rule cba-> aabcc at position 7 .aabaabcaabccabccbcc.a rule a-> b at position 7 .aabaabcbabccabccbcc.a rule cc-> at position 10 .aabaabcbababccbcc.a rule cc-> at position 15 .aabaabcbababccb.a rule cba-> aabcc at position 13 .aabaabcbababcaabcc. rule a-> b at position 13 .aabaabcbababcbabcc. rule cba-> aabcc at position 12 .aabaabcbababaabccbcc.