/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 4-rule system { 0 -> , 0 0 1 -> 2 2 2 , 2 -> 1 0 , 2 1 -> } The system was reversed. After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 4-rule system { 0 -> , 1 0 0 -> 2 2 2 , 2 -> 0 1 , 1 2 -> } Loop of length 16 starting with a string of length 5 using right expansion and the encoding { 0->a, 1->b, ... }: .baa.aa rule baa-> ccc at position 0 .ccc.aa rule c-> ab at position 0 .abcc.aa rule c-> ab at position 2 .ababc.aa rule c-> ab at position 4 .ababab.aa rule baa-> ccc at position 5 .ababaccc. rule c-> ab at position 5 .ababaabcc. rule baa-> ccc at position 3 .abacccbcc. rule c-> ab at position 3 .abaabccbcc. rule c-> ab at position 5 .abaababcbcc. rule bc-> at position 6 .abaababcc. rule bc-> at position 6 .abaabac. rule c-> ab at position 6 .abaabaab. rule baa-> ccc at position 4 .abaacccb. rule c-> ab at position 4 .abaaabccb. rule bc-> at position 5 .abaaacb. rule c-> ab at position 5 .abaaaabb.