/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { a->0, b->1, c->2 }, it remains to prove termination of the 3-rule system { 0 -> , 0 1 -> 1 0 2 0 0 , 2 2 2 -> 1 } The system was reversed. After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 3-rule system { 0 -> , 1 0 -> 0 0 2 0 1 , 2 2 2 -> 1 } Loop of length 32 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ba.aaaaaa rule ba-> aacab at position 0 .aacab.aaaaaa rule a-> at position 3 .aacb.aaaaaa rule ba-> aacab at position 3 .aacaacab.aaaaa rule a-> at position 3 .aacacab.aaaaa rule a-> at position 3 .aaccab.aaaaa rule a-> at position 4 .aaccb.aaaaa rule ba-> aacab at position 4 .aaccaacab.aaaa rule a-> at position 4 .aaccacab.aaaa rule a-> at position 4 .aacccab.aaaa rule ccc-> b at position 2 .aabab.aaaa rule ba-> aacab at position 4 .aabaaacab.aaa rule a-> at position 7 .aabaaacb.aaa rule ba-> aacab at position 7 .aabaaacaacab.aa rule a-> at position 7 .aabaaacacab.aa rule a-> at position 7 .aabaaaccab.aa rule a-> at position 8 .aabaaaccb.aa rule ba-> aacab at position 8 .aabaaaccaacab.a rule a-> at position 8 .aabaaaccacab.a rule a-> at position 8 .aabaaacccab.a rule ccc-> b at position 6 .aabaaabab.a rule ba-> aacab at position 6 .aabaaaaacabb.a rule a-> at position 9 .aabaaaaacbb.a rule ba-> aacab at position 10 .aabaaaaacbaacab. rule ba-> aacab at position 9 .aabaaaaacaacabacab. rule a-> at position 9 .aabaaaaacacabacab. rule a-> at position 9 .aabaaaaaccabacab. rule a-> at position 10 .aabaaaaaccbacab. rule ba-> aacab at position 10 .aabaaaaaccaacabcab. rule a-> at position 10 .aabaaaaaccacabcab. rule a-> at position 10 .aabaaaaacccabcab. rule ccc-> b at position 8 .aabaaaaababcab. rule ba-> aacab at position 8 .aabaaaaaaacabbcab.