/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 0 1 2 2 , 2 -> , 2 1 -> 0 } Loop of length 20 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .aa.bababa rule aa-> babcc at position 0 .babcc.bababa rule cb-> a at position 4 .babca.ababa rule aa-> babcc at position 4 .babcbabcc.baba rule cb-> a at position 3 .babaabcc.baba rule aa-> babcc at position 3 .babbabccbcc.baba rule cb-> a at position 7 .babbabcacc.baba rule a-> at position 7 .babbabccc.baba rule cb-> a at position 8 .babbabcca.aba rule aa-> babcc at position 8 .babbabccbabcc.ba rule cb-> a at position 7 .babbabcaabcc.ba rule aa-> babcc at position 7 .babbabcbabccbcc.ba rule cb-> a at position 6 .babbabaabccbcc.ba rule c-> at position 9 .babbabaabcbcc.ba rule cb-> a at position 9 .babbabaabacc.ba rule cb-> a at position 11 .babbabaabaca.a rule aa-> babcc at position 11 .babbabaabacbabcc. rule cb-> a at position 10 .babbabaabaaabcc. rule aa-> babcc at position 10 .babbabaabababccbcc. rule c-> at position 13 .babbabaabababcbcc. rule cb-> a at position 13 .babbabaabababacc.