/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, c->1, a->2 }, it remains to prove termination of the 6-rule system { 0 0 0 -> 1 2 2 , 2 2 0 -> 1 0 2 , 1 1 1 -> 2 0 1 , 2 1 2 ->= 0 2 1 , 1 1 2 ->= 1 2 2 , 0 1 0 ->= 0 0 0 } Loop of length 13 starting with a string of length 9 using right expansion and the encoding { 0->a, 1->b, ... }: .aba.abcccb rule aba->= aaa at position 0 .aaa.abcccb rule aaa-> bcc at position 1 .abcc.bcccb rule cbc->= acb at position 3 .abcacb.ccb rule cbc->= acb at position 4 .abcaacb.cb rule cbc->= acb at position 5 .abcaaacb.b rule aaa-> bcc at position 3 .abcbcccb.b rule cbc->= acb at position 2 .abacbccb.b rule cbc->= acb at position 3 .abaacbcb.b rule cbc->= acb at position 4 .abaaacbb.b rule bbb-> cab at position 6 .abaaaccab. rule cca-> bac at position 5 .abaaabacb. rule aba->= aaa at position 4 .abaaaaacb. rule aaa-> bcc at position 4 .abaabcccb.