/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 -> , 0 1 0 1 -> 2 1 2 , 2 -> 1 0 0 } Loop of length 34 starting with a string of length 11 using right expansion and the encoding { 0->a, 1->b, ... }: .c.babbbabbab rule c-> baa at position 0 .baa.babbbabbab rule abab-> cbc at position 2 .bacbc.bbabbab rule c-> baa at position 2 .babaabc.bbabbab rule a-> at position 3 .bababc.bbabbab rule abab-> cbc at position 1 .bcbcc.bbabbab rule c-> baa at position 3 .bcbbaac.bbabbab rule c-> baa at position 6 .bcbbaabaa.bbabbab rule a-> at position 7 .bcbbaaba.bbabbab rule abab-> cbc at position 5 .bcbbacbc.babbab rule c-> baa at position 5 .bcbbabaabc.babbab rule a-> at position 6 .bcbbababc.babbab rule abab-> cbc at position 4 .bcbbcbcc.babbab rule c-> baa at position 6 .bcbbcbbaac.babbab rule c-> baa at position 9 .bcbbcbbaabaa.babbab rule abab-> cbc at position 11 .bcbbcbbaabacbc.bab rule c-> baa at position 11 .bcbbcbbaababaabc.bab rule abab-> cbc at position 8 .bcbbcbbacbcaabc.bab rule c-> baa at position 8 .bcbbcbbabaabcaabc.bab rule a-> at position 9 .bcbbcbbababcaabc.bab rule abab-> cbc at position 7 .bcbbcbbcbccaabc.bab rule c-> baa at position 10 .bcbbcbbcbcbaaaabc.bab rule a-> at position 11 .bcbbcbbcbcbaaabc.bab rule a-> at position 11 .bcbbcbbcbcbaabc.bab rule a-> at position 11 .bcbbcbbcbcbabc.bab rule c-> baa at position 13 .bcbbcbbcbcbabbaa.bab rule abab-> cbc at position 15 .bcbbcbbcbcbabbacbc. rule c-> baa at position 15 .bcbbcbbcbcbabbabaabc. rule a-> at position 16 .bcbbcbbcbcbabbababc. rule abab-> cbc at position 14 .bcbbcbbcbcbabbcbcc. rule c-> baa at position 14 .bcbbcbbcbcbabbbaabcc. rule a-> at position 15 .bcbbcbbcbcbabbbabcc. rule c-> baa at position 17 .bcbbcbbcbcbabbbabbaac. rule a-> at position 18 .bcbbcbbcbcbabbbabbac. rule c-> baa at position 19 .bcbbcbbcbcbabbbabbabaa.