/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 1 -> 1 1 2 0 , 1 -> , 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, ... }: .ab.bbbbbb rule ab-> bbca at position 0 .bbca.bbbbbb rule ab-> bbca at position 3 .bbcbbca.bbbbb rule b-> at position 3 .bbcbca.bbbbb rule b-> at position 3 .bbcca.bbbbb rule ab-> bbca at position 4 .bbccbbca.bbbb rule ccb-> a at position 2 .bbabca.bbbb rule ab-> bbca at position 5 .bbabcbbca.bbb rule b-> at position 5 .bbabcbca.bbb rule b-> at position 5 .bbabcca.bbb rule ab-> bbca at position 6 .bbabccbbca.bb rule ccb-> a at position 4 .bbababca.bb rule ab-> bbca at position 4 .bbabbbcaca.bb rule a-> at position 7 .bbabbbcca.bb rule ab-> bbca at position 8 .bbabbbccbbca.b rule ccb-> a at position 6 .bbabbbabca.b rule ab-> bbca at position 6 .bbabbbbbcaca.b rule a-> at position 9 .bbabbbbbcca.b rule ab-> bbca at position 10 .bbabbbbbccbbca. rule ccb-> a at position 8 .bbabbbbbabca. rule ab-> bbca at position 8 .bbabbbbbbbcaca.