/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { b->0, a->1, c->2 }, it remains to prove termination of the 6-rule system { 0 0 1 -> 0 1 1 , 2 2 1 -> 2 0 2 , 2 0 2 ->= 0 1 1 , 2 2 2 ->= 2 1 1 , 1 0 0 ->= 0 2 2 , 2 1 1 ->= 0 1 0 } Loop of length 23 starting with a string of length 9 using right expansion and the encoding { 0->a, 1->b, ... }: .aab.aacacb rule aab-> abb at position 0 .abb.aacacb rule baa->= acc at position 2 .abacc.cacb rule ccc->= cbb at position 3 .abacbb.acb rule cbb->= aba at position 3 .abaaba.acb rule aab-> abb at position 2 .ababba.acb rule baa->= acc at position 4 .ababacc.cb rule ccc->= cbb at position 5 .ababacbb.b rule cbb->= aba at position 5 .ababaaba.b rule baa->= acc at position 3 .abaaccba.b rule baa->= acc at position 1 .aaccccba.b rule ccb-> cac at position 4 .aacccaca.b rule ccc->= cbb at position 2 .aacbbaca.b rule cbb->= aba at position 2 .aaabaaca.b rule aab-> abb at position 1 .aabbaaca.b rule baa->= acc at position 3 .aabaccca.b rule ccc->= cbb at position 4 .aabacbba.b rule cbb->= aba at position 4 .aabaabaa.b rule aab-> abb at position 3 .aababbaa.b rule baa->= acc at position 5 .aababacc.b rule ccb-> cac at position 6 .aababacac. rule cac->= abb at position 6 .aababaabb. rule baa->= acc at position 4 .aabaaccbb. rule ccb-> cac at position 5 .aabaacacb.