/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, c->1, b->2 }, it remains to prove termination of the 6-rule system { 0 1 1 -> 1 1 0 , 0 2 2 -> 2 2 0 , 0 0 1 -> 2 2 0 , 2 1 0 -> 0 1 1 , 0 1 0 ->= 0 1 2 , 2 0 0 ->= 0 0 0 } The system was reversed. After renaming modulo { 1->0, 0->1, 2->2 }, it remains to prove termination of the 6-rule system { 0 0 1 -> 1 0 0 , 2 2 1 -> 1 2 2 , 0 1 1 -> 1 2 2 , 1 0 2 -> 0 0 1 , 1 0 1 ->= 2 0 1 , 1 1 2 ->= 1 1 1 } Loop of length 8 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .aab.abbbb rule aab-> baa at position 0 .baa.abbbb rule aab-> baa at position 2 .babaa.bbb rule abb-> bcc at position 4 .bababcc.b rule ccb-> bcc at position 5 .bababbcc. rule bbc->= bbb at position 4 .bababbbc. rule bab->= cab at position 2 .bacabbbc. rule bac-> aab at position 0 .aababbbc. rule bbc->= bbb at position 5 .aababbbb.