/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo the bijection { b ↦ 0, a ↦ 1 }, it remains to prove termination of the 3-rule system { 0 0 1 0 ⟶ 1 1 1 1 , 1 0 1 1 ⟶ 1 0 0 0 , 1 0 1 1 ⟶ 0 1 0 0 } Loop of length 60 starting with a string of length 15 using right expansion and the encoding { 0 ↦ a, 1 ↦ b, ... }: .aaba.abbbaabbbaa rule aaba-> bbbb at position 0 .bbbb.abbbaabbbaa rule babb-> baaa at position 3 .bbbbaaa.baabbbaa rule aaba-> bbbb at position 5 .bbbbabbbb.abbbaa rule babb-> abaa at position 3 .bbbabaabb.abbbaa rule babb-> abaa at position 8 .bbbabaababaa.baa rule aaba-> bbbb at position 10 .bbbabaababbbbb.a rule babb-> abaa at position 7 .bbbabaaabaabbb.a rule aaba-> bbbb at position 6 .bbbababbbbabbb.a rule babb-> abaa at position 4 .bbbaabaabbabbb.a rule babb-> abaa at position 9 .bbbaabaababaab.a rule aaba-> bbbb at position 11 .bbbaabaababbbbb. rule babb-> abaa at position 8 .bbbaabaaabaabbb. rule aaba-> bbbb at position 7 .bbbaababbbbabbb. rule babb-> baaa at position 5 .bbbaabaaabbabbb. rule babb-> abaa at position 10 .bbbaabaaababaab. rule aaba-> bbbb at position 7 .bbbaababbbbbaab. rule babb-> abaa at position 5 .bbbaaabaabbbaab. rule aaba-> bbbb at position 4 .bbbabbbbabbbaab. rule babb-> abaa at position 2 .bbabaabbabbbaab. rule babb-> abaa at position 7 .bbabaababaabaab. rule aaba-> bbbb at position 9 .bbabaababbbbbab. rule babb-> abaa at position 6 .bbabaaabaabbbab. rule aaba-> bbbb at position 5 .bbababbbbabbbab. rule babb-> abaa at position 3 .bbaabaabbabbbab. rule babb-> abaa at position 8 .bbaabaababaabab. rule aaba-> bbbb at position 10 .bbaabaababbbbbb. rule babb-> abaa at position 7 .bbaabaaabaabbbb. rule aaba-> bbbb at position 6 .bbaababbbbabbbb. rule babb-> baaa at position 4 .bbaabaaabbabbbb. rule babb-> abaa at position 9 .bbaabaaababaabb. rule aaba-> bbbb at position 6 .bbaababbbbbaabb. rule babb-> abaa at position 4 .bbaaabaabbbaabb. rule aaba-> bbbb at position 3 .bbabbbbabbbaabb. rule babb-> abaa at position 1 .babaabbabbbaabb. rule babb-> abaa at position 6 .babaababaabaabb. rule aaba-> bbbb at position 8 .babaababbbbbabb. rule babb-> abaa at position 5 .babaaabaabbbabb. rule aaba-> bbbb at position 4 .bababbbbabbbabb. rule babb-> abaa at position 2 .baabaabbabbbabb. rule babb-> abaa at position 7 .baabaababaababb. rule babb-> baaa at position 11 .baabaababaabaaa. rule aaba-> bbbb at position 9 .baabaababbbbbaa. rule babb-> abaa at position 6 .baabaaabaabbbaa. rule aaba-> bbbb at position 5 .baababbbbabbbaa. rule babb-> baaa at position 3 .baabaaabbabbbaa. rule babb-> abaa at position 8 .baabaaababaabaa. rule aaba-> bbbb at position 5 .baababbbbbaabaa. rule babb-> abaa at position 3 .baaabaabbbaabaa. rule aaba-> bbbb at position 2 .babbbbabbbaabaa. rule babb-> abaa at position 0 .abaabbabbbaabaa. rule babb-> abaa at position 5 .abaababaabaabaa. rule aaba-> bbbb at position 7 .abaababbbbbabaa. rule babb-> abaa at position 4 .abaaabaabbbabaa. rule aaba-> bbbb at position 3 .ababbbbabbbabaa. rule babb-> baaa at position 1 .abaaabbabbbabaa. rule babb-> baaa at position 6 .abaaabbaaababaa. rule aaba-> bbbb at position 8 .abaaabbabbbbbaa. rule babb-> abaa at position 6 .abaaababaabbbaa. rule aaba-> bbbb at position 3 .ababbbbbaabbbaa. rule babb-> abaa at position 1 .aabaabbbaabbbaa.