/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { 0->0, 1->1 }, it remains to prove termination of the 2-rule system { 0 0 0 0 -> 0 1 0 1 , 1 0 0 1 -> 0 0 1 0 } Loop of length 30 starting with a string of length 13 using right expansion and the encoding { 0->a, 1->b, ... }: .aaaa.aabababab rule aaaa-> abab at position 0 .abab.aabababab rule baab-> aaba at position 3 .abaaaba.ababab rule baab-> aaba at position 5 .abaaaaaba.abab rule aaaa-> abab at position 3 .abaababba.abab rule baab-> aaba at position 1 .aaabaabba.abab rule baab-> aaba at position 3 .aaaaababa.abab rule baab-> aaba at position 7 .aaaaabaaaba.ab rule baab-> aaba at position 9 .aaaaabaaaaaba. rule aaaa-> abab at position 7 .aaaaabaababba. rule baab-> aaba at position 5 .aaaaaaabaabba. rule aaaa-> abab at position 3 .aaaababbaabba. rule baab-> aaba at position 7 .aaaababaababa. rule baab-> aaba at position 6 .aaaabaaabaaba. rule baab-> aaba at position 8 .aaaabaaaaabaa. rule aaaa-> abab at position 6 .aaaabaababbaa. rule baab-> aaba at position 4 .aaaaaabaabbaa. rule aaaa-> abab at position 2 .aaababbaabbaa. rule baab-> aaba at position 6 .aaababaababaa. rule baab-> aaba at position 5 .aaabaaabaabaa. rule baab-> aaba at position 7 .aaabaaaaabaaa. rule aaaa-> abab at position 5 .aaabaababbaaa. rule baab-> aaba at position 3 .aaaaabaabbaaa. rule aaaa-> abab at position 1 .aababbaabbaaa. rule baab-> aaba at position 5 .aababaababaaa. rule baab-> aaba at position 4 .aabaaabaabaaa. rule baab-> aaba at position 6 .aabaaaaabaaaa. rule aaaa-> abab at position 4 .aabaababbaaaa. rule baab-> aaba at position 2 .aaaabaabbaaaa. rule baab-> aaba at position 4 .aaaaaababaaaa. rule aaaa-> abab at position 9 .aaaaaabababab.