/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 2-rule system { 0 0 1 -> 1 1 2 0 2 , 0 2 -> 0 0 } The system was reversed. After renaming modulo { 1->0, 0->1, 2->2 }, it remains to prove termination of the 2-rule system { 0 1 1 -> 2 1 2 0 0 , 2 1 -> 1 1 } Loop of length 18 starting with a string of length 9 using right expansion and the encoding { 0->a, 1->b, ... }: .abb.bbbbbb rule abb-> cbcaa at position 0 .cbcaa.bbbbbb rule abb-> cbcaa at position 4 .cbcacbcaa.bbbb rule cb-> bb at position 4 .cbcabbcaa.bbbb rule abb-> cbcaa at position 8 .cbcabbcacbcaa.bb rule cb-> bb at position 8 .cbcabbcabbcaa.bb rule abb-> cbcaa at position 7 .cbcabbccbcaacaa.bb rule cb-> bb at position 7 .cbcabbcbbcaacaa.bb rule cb-> bb at position 6 .cbcabbbbbcaacaa.bb rule abb-> cbcaa at position 14 .cbcabbbbbcaacacbcaa. rule cb-> bb at position 14 .cbcabbbbbcaacabbcaa. rule abb-> cbcaa at position 13 .cbcabbbbbcaaccbcaacaa. rule cb-> bb at position 13 .cbcabbbbbcaacbbcaacaa. rule cb-> bb at position 12 .cbcabbbbbcaabbbcaacaa. rule abb-> cbcaa at position 11 .cbcabbbbbcacbcaabcaacaa. rule cb-> bb at position 11 .cbcabbbbbcabbcaabcaacaa. rule abb-> cbcaa at position 10 .cbcabbbbbccbcaacaabcaacaa. rule cb-> bb at position 10 .cbcabbbbbcbbcaacaabcaacaa. rule cb-> bb at position 9 .cbcabbbbbbbbcaacaabcaacaa.