/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 4-rule system { 0 -> , 0 1 -> 1 1 2 0 , 1 -> , 2 2 2 -> 0 } Loop of length 39 starting with a string of length 11 using right expansion and the encoding { 0->a, 1->b, ... }: .ab.bbbbbbbbb rule ab-> bbca at position 0 .bbca.bbbbbbbbb rule ab-> bbca at position 3 .bbcbbca.bbbbbbbb rule b-> at position 3 .bbcbca.bbbbbbbb rule b-> at position 3 .bbcca.bbbbbbbb rule ab-> bbca at position 4 .bbccbbca.bbbbbbb rule b-> at position 4 .bbccbca.bbbbbbb rule b-> at position 4 .bbccca.bbbbbbb rule ccc-> a at position 2 .bbaa.bbbbbbb rule ab-> bbca at position 3 .bbabbca.bbbbbb rule ab-> bbca at position 6 .bbabbcbbca.bbbbb rule b-> at position 6 .bbabbcbca.bbbbb rule b-> at position 6 .bbabbcca.bbbbb rule ab-> bbca at position 7 .bbabbccbbca.bbbb rule b-> at position 7 .bbabbccbca.bbbb rule b-> at position 7 .bbabbccca.bbbb rule ccc-> a at position 5 .bbabbaa.bbbb rule ab-> bbca at position 6 .bbabbabbca.bbb rule ab-> bbca at position 5 .bbabbbbcabca.bbb rule ab-> bbca at position 8 .bbabbbbcbbcaca.bbb rule b-> at position 8 .bbabbbbcbcaca.bbb rule b-> at position 8 .bbabbbbccaca.bbb rule a-> at position 9 .bbabbbbccca.bbb rule ccc-> a at position 7 .bbabbbbaa.bbb rule ab-> bbca at position 8 .bbabbbbabbca.bb rule ab-> bbca at position 7 .bbabbbbbbcabca.bb rule ab-> bbca at position 10 .bbabbbbbbcbbcaca.bb rule b-> at position 10 .bbabbbbbbcbcaca.bb rule b-> at position 10 .bbabbbbbbccaca.bb rule a-> at position 11 .bbabbbbbbccca.bb rule ccc-> a at position 9 .bbabbbbbbaa.bb rule ab-> bbca at position 10 .bbabbbbbbabbca.b rule ab-> bbca at position 9 .bbabbbbbbbbcabca.b rule ab-> bbca at position 12 .bbabbbbbbbbcbbcaca.b rule b-> at position 12 .bbabbbbbbbbcbcaca.b rule b-> at position 12 .bbabbbbbbbbccaca.b rule a-> at position 13 .bbabbbbbbbbccca.b rule ccc-> a at position 11 .bbabbbbbbbbaa.b rule a-> at position 11 .bbabbbbbbbba.b rule ab-> bbca at position 11 .bbabbbbbbbbbbca.