/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo the bijection { 0 ↦ 0, 1 ↦ 1 }, it remains to prove termination of the 2-rule system { 0 0 0 0 ⟶ 0 1 1 1 , 1 0 0 1 ⟶ 0 0 1 0 } Loop of length 80 starting with a string of length 21 using right expansion and the encoding { 0 ↦ a, 1 ↦ b, ... }: .aaaa.aababababbababbab rule aaaa-> abbb at position 0 .abbb.aababababbababbab rule baab-> aaba at position 3 .abbaaba.abababbababbab rule baab-> aaba at position 5 .abbaaaaba.ababbababbab rule baab-> aaba at position 7 .abbaaaaaaba.abbababbab rule aaaa-> abbb at position 5 .abbaaabbbba.abbababbab rule baab-> aaba at position 9 .abbaaabbbaaba.bababbab rule baab-> aaba at position 8 .abbaaabbaabaa.bababbab rule baab-> aaba at position 10 .abbaaabbaaaaba.ababbab rule baab-> aaba at position 12 .abbaaabbaaaaaaba.abbab rule aaaa-> abbb at position 10 .abbaaabbaaabbbba.abbab rule baab-> aaba at position 14 .abbaaabbaaabbbaaba.bab rule baab-> aaba at position 13 .abbaaabbaaabbaabaa.bab rule baab-> aaba at position 15 .abbaaabbaaabbaaaaba.ab rule baab-> aaba at position 17 .abbaaabbaaabbaaaaaaba. rule aaaa-> abbb at position 14 .abbaaabbaaabbaabbbaba. rule baab-> aaba at position 12 .abbaaabbaaabaababbaba. rule baab-> aaba at position 11 .abbaaabbaaaaabaabbaba. rule aaaa-> abbb at position 9 .abbaaabbaabbbbaabbaba. rule baab-> aaba at position 13 .abbaaabbaabbbaabababa. rule baab-> aaba at position 12 .abbaaabbaabbaabaababa. rule baab-> aaba at position 14 .abbaaabbaabbaaaabaaba. rule aaaa-> abbb at position 12 .abbaaabbaabbabbbbaaba. rule baab-> aaba at position 16 .abbaaabbaabbabbbaabaa. rule baab-> aaba at position 15 .abbaaabbaabbabbaabaaa. rule baab-> aaba at position 14 .abbaaabbaabbabaabaaaa. rule baab-> aaba at position 13 .abbaaabbaabbaaabaaaaa. rule aaaa-> abbb at position 17 .abbaaabbaabbaaabaabbb. rule baab-> aaba at position 15 .abbaaabbaabbaaaaababb. rule aaaa-> abbb at position 13 .abbaaabbaabbaabbbbabb. rule baab-> aaba at position 11 .abbaaabbaabaababbbabb. rule baab-> aaba at position 10 .abbaaabbaaaabaabbbabb. rule baab-> aaba at position 12 .abbaaabbaaaaaababbabb. rule aaaa-> abbb at position 9 .abbaaabbaabbbababbabb. rule baab-> aaba at position 7 .abbaaabaababbababbabb. rule baab-> aaba at position 6 .abbaaaaabaabbababbabb. rule aaaa-> abbb at position 4 .abbaabbbbaabbababbabb. rule baab-> aaba at position 2 .abaababbbaabbababbabb. rule baab-> aaba at position 1 .aaabaabbbaabbababbabb. rule baab-> aaba at position 3 .aaaaababbaabbababbabb. rule aaaa-> abbb at position 1 .aabbbbabbaabbababbabb. rule baab-> aaba at position 8 .aabbbbabaababababbabb. rule baab-> aaba at position 7 .aabbbbaaabaabababbabb. rule baab-> aaba at position 9 .aabbbbaaaaabaababbabb. rule baab-> aaba at position 11 .aabbbbaaaaaaabaabbabb. rule aaaa-> abbb at position 9 .aabbbbaaaabbbbaabbabb. rule baab-> aaba at position 13 .aabbbbaaaabbbaabababb. rule baab-> aaba at position 12 .aabbbbaaaabbaabaababb. rule baab-> aaba at position 14 .aabbbbaaaabbaaaabaabb. rule baab-> aaba at position 16 .aabbbbaaaabbaaaaaabab. rule aaaa-> abbb at position 13 .aabbbbaaaabbaabbbabab. rule baab-> aaba at position 11 .aabbbbaaaabaababbabab. rule baab-> aaba at position 10 .aabbbbaaaaaabaabbabab. rule aaaa-> abbb at position 8 .aabbbbaaabbbbaabbabab. rule baab-> aaba at position 12 .aabbbbaaabbbaabababab. rule baab-> aaba at position 11 .aabbbbaaabbaabaababab. rule baab-> aaba at position 13 .aabbbbaaabbaaaabaabab. rule baab-> aaba at position 15 .aabbbbaaabbaaaaaabaab. rule aaaa-> abbb at position 12 .aabbbbaaabbaabbbabaab. rule baab-> aaba at position 10 .aabbbbaaabaababbabaab. rule baab-> aaba at position 9 .aabbbbaaaaabaabbabaab. rule aaaa-> abbb at position 7 .aabbbbaabbbbaabbabaab. rule baab-> aaba at position 5 .aabbbaababbbaabbabaab. rule baab-> aaba at position 4 .aabbaabaabbbaabbabaab. rule baab-> aaba at position 6 .aabbaaaababbaabbabaab. rule baab-> aaba at position 11 .aabbaaaababaabababaab. rule baab-> aaba at position 10 .aabbaaaabaaabaababaab. rule baab-> aaba at position 12 .aabbaaaabaaaaabaabaab. rule aaaa-> abbb at position 10 .aabbaaaabaabbbbaabaab. rule baab-> aaba at position 14 .aabbaaaabaabbbaabaaab. rule baab-> aaba at position 13 .aabbaaaabaabbaabaaaab. rule baab-> aaba at position 12 .aabbaaaabaabaabaaaaab. rule baab-> aaba at position 11 .aabbaaaabaaaabaaaaaab. rule aaaa-> abbb at position 15 .aabbaaaabaaaabaabbbab. rule baab-> aaba at position 13 .aabbaaaabaaaaaababbab. rule aaaa-> abbb at position 10 .aabbaaaabaabbbababbab. rule baab-> aaba at position 8 .aabbaaaaaababbababbab. rule aaaa-> abbb at position 5 .aabbaabbbababbababbab. rule baab-> aaba at position 3 .aabaababbababbababbab. rule baab-> aaba at position 2 .aaaabaabbababbababbab. rule baab-> aaba at position 4 .aaaaaababababbababbab.