/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { b->0, a->1 }, it remains to prove termination of the 3-rule system { 0 1 0 0 -> 0 0 0 0 , 0 1 1 0 -> 1 0 1 1 , 1 1 1 1 -> 0 0 0 1 } Loop of length 36 starting with a string of length 15 using right expansion and the encoding { 0->a, 1->b, ... }: .abba.aaaaaaaaabb rule abba-> babb at position 0 .babb.aaaaaaaaabb rule abba-> babb at position 1 .bbabb.aaaaaaaabb rule abba-> babb at position 2 .bbbabb.aaaaaaabb rule abba-> babb at position 3 .bbbbabb.aaaaaabb rule bbbb-> aaab at position 0 .aaababb.aaaaaabb rule abba-> babb at position 4 .aaabbabb.aaaaabb rule abba-> babb at position 5 .aaabbbabb.aaaabb rule abba-> babb at position 6 .aaabbbbabb.aaabb rule abba-> babb at position 7 .aaabbbbbabb.aabb rule abba-> babb at position 8 .aaabbbbbbabb.abb rule bbbb-> aaab at position 5 .aaabbaaababb.abb rule abba-> babb at position 2 .aababbaababb.abb rule abba-> babb at position 3 .aabbabbababb.abb rule abba-> babb at position 9 .aabbabbabbabb.bb rule abba-> babb at position 7 .aabbabbbabbbb.bb rule bbbb-> aaab at position 11 .aabbabbbabbaaab. rule abba-> babb at position 8 .aabbabbbbabbaab. rule abba-> babb at position 9 .aabbabbbbbabbab. rule bbbb-> aaab at position 6 .aabbabaaababbab. rule abaa-> aaaa at position 4 .aabbaaaaababbab. rule abba-> babb at position 1 .ababbaaaababbab. rule abba-> babb at position 2 .abbabbaaababbab. rule abba-> babb at position 3 .abbbabbaababbab. rule abba-> babb at position 10 .abbbabbaabbabbb. rule abba-> babb at position 8 .abbbabbababbbbb. rule bbbb-> aaab at position 10 .abbbabbabaaaabb. rule abaa-> aaaa at position 7 .abbbabbaaaaaabb. rule abba-> babb at position 4 .abbbbabbaaaaabb. rule abba-> babb at position 5 .abbbbbabbaaaabb. rule abba-> babb at position 6 .abbbbbbabbaaabb. rule bbbb-> aaab at position 3 .abbaaababbaaabb. rule abba-> babb at position 7 .abbaaabbabbaabb. rule abba-> babb at position 5 .abbaababbbbaabb. rule bbbb-> aaab at position 7 .abbaabaaaabaabb. rule abaa-> aaaa at position 4 .abbaaaaaaabaabb. rule abaa-> aaaa at position 9 .abbaaaaaaaaaabb.