/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 2-rule system { 0 0 0 -> 0 1 2 2 2 , 2 1 -> 1 0 } The system was reversed. After renaming modulo { 0->0, 2->1, 1->2 }, it remains to prove termination of the 2-rule system { 0 0 0 -> 1 1 1 2 0 , 2 1 -> 0 2 } Loop of length 28 starting with a string of length 9 using right expansion and the encoding { 0->a, 1->b, ... }: .aaa.aaaaaa rule aaa-> bbbca at position 0 .bbbca.aaaaaa rule aaa-> bbbca at position 4 .bbbcbbbca.aaaa rule cb-> ac at position 3 .bbbacbbca.aaaa rule cb-> ac at position 4 .bbbaacbca.aaaa rule cb-> ac at position 5 .bbbaaacca.aaaa rule aaa-> bbbca at position 8 .bbbaaaccbbbca.aa rule cb-> ac at position 7 .bbbaaacacbbca.aa rule cb-> ac at position 8 .bbbaaacaacbca.aa rule cb-> ac at position 9 .bbbaaacaaacca.aa rule aaa-> bbbca at position 7 .bbbaaacbbbcacca.aa rule cb-> ac at position 6 .bbbaaaacbbcacca.aa rule cb-> ac at position 7 .bbbaaaaacbcacca.aa rule cb-> ac at position 8 .bbbaaaaaaccacca.aa rule aaa-> bbbca at position 14 .bbbaaaaaaccaccbbbca. rule cb-> ac at position 13 .bbbaaaaaaccacacbbca. rule cb-> ac at position 14 .bbbaaaaaaccacaacbca. rule cb-> ac at position 15 .bbbaaaaaaccacaaacca. rule aaa-> bbbca at position 13 .bbbaaaaaaccacbbbcacca. rule cb-> ac at position 12 .bbbaaaaaaccaacbbcacca. rule cb-> ac at position 13 .bbbaaaaaaccaaacbcacca. rule aaa-> bbbca at position 11 .bbbaaaaaaccbbbcacbcacca. rule cb-> ac at position 10 .bbbaaaaaacacbbcacbcacca. rule cb-> ac at position 11 .bbbaaaaaacaacbcacbcacca. rule cb-> ac at position 12 .bbbaaaaaacaaaccacbcacca. rule aaa-> bbbca at position 10 .bbbaaaaaacbbbcaccacbcacca. rule cb-> ac at position 9 .bbbaaaaaaacbbcaccacbcacca. rule cb-> ac at position 10 .bbbaaaaaaaacbcaccacbcacca. rule cb-> ac at position 11 .bbbaaaaaaaaaccaccacbcacca.