/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 5-rule system { 0 -> , 0 -> 1 , 0 1 -> 1 0 2 0 , 1 -> , 2 2 -> } The system was reversed. After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 5-rule system { 0 -> , 0 -> 1 , 1 0 -> 0 2 0 1 , 1 -> , 2 2 -> } Loop of length 17 starting with a string of length 4 using right expansion and the encoding { 0->a, 1->b, ... }: .a.aaa rule a-> b at position 0 .b.aaa rule ba-> acab at position 0 .acab.aa rule a-> b at position 2 .acbb.aa rule ba-> acab at position 3 .acbacab.a rule ba-> acab at position 2 .acacabcab.a rule a-> at position 2 .accabcab.a rule cc-> at position 1 .aabcab.a rule a-> b at position 4 .aabcbb.a rule ba-> acab at position 5 .aabcbacab. rule ba-> acab at position 4 .aabcacabcab. rule a-> at position 4 .aabccabcab. rule cc-> at position 3 .aababcab. rule ba-> acab at position 2 .aaacabbcab. rule a-> at position 4 .aaacbbcab. rule b-> at position 4 .aaacbcab. rule b-> at position 4 .aaaccab. rule cc-> at position 3 .aaaab.