/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 0 2 0 , 1 -> , 2 2 1 -> } Loop of length 24 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ab.bbbbbb rule ab-> bbaca at position 0 .bbaca.bbbbbb rule ab-> bbaca at position 4 .bbacbbaca.bbbbb rule b-> at position 4 .bbacbaca.bbbbb rule b-> at position 4 .bbacaca.bbbbb rule a-> at position 4 .bbacca.bbbbb rule ab-> bbaca at position 5 .bbaccbbaca.bbbb rule ccb-> at position 3 .bbabaca.bbbb rule ab-> bbaca at position 6 .bbabacbbaca.bbb rule b-> at position 6 .bbabacbaca.bbb rule b-> at position 6 .bbabacaca.bbb rule a-> at position 6 .bbabacca.bbb rule ab-> bbaca at position 7 .bbabaccbbaca.bb rule ccb-> at position 5 .bbababaca.bb rule ab-> bbaca at position 4 .bbabbbacaaca.bb rule a-> at position 8 .bbabbbacaca.bb rule a-> at position 8 .bbabbbacca.bb rule ab-> bbaca at position 9 .bbabbbaccbbaca.b rule ccb-> at position 7 .bbabbbabaca.b rule ab-> bbaca at position 6 .bbabbbbbacaaca.b rule a-> at position 10 .bbabbbbbacaca.b rule a-> at position 10 .bbabbbbbacca.b rule ab-> bbaca at position 11 .bbabbbbbaccbbaca. rule ccb-> at position 9 .bbabbbbbabaca. rule ab-> bbaca at position 8 .bbabbbbbbbacaaca.