/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 2 0 0 , 2 2 2 -> 0 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 1 , 2 2 2 -> 1 0 } Loop of length 26 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ba.aaaaaa rule ba-> aacb at position 0 .aacb.aaaaaa rule ba-> aacb at position 3 .aacaacb.aaaaa rule a-> at position 3 .aacacb.aaaaa rule a-> at position 3 .aaccb.aaaaa rule ba-> aacb at position 4 .aaccaacb.aaaa rule a-> at position 4 .aaccacb.aaaa rule a-> at position 4 .aacccb.aaaa rule ccc-> ba at position 2 .aabab.aaaa rule ba-> aacb at position 4 .aabaaacb.aaa rule ba-> aacb at position 7 .aabaaacaacb.aa rule a-> at position 7 .aabaaacacb.aa rule a-> at position 7 .aabaaaccb.aa rule ba-> aacb at position 8 .aabaaaccaacb.a rule a-> at position 8 .aabaaaccacb.a rule a-> at position 8 .aabaaacccb.a rule ccc-> ba at position 6 .aabaaabab.a rule ba-> aacb at position 6 .aabaaaaacbb.a rule ba-> aacb at position 10 .aabaaaaacbaacb. rule ba-> aacb at position 9 .aabaaaaacaacbacb. rule a-> at position 9 .aabaaaaacacbacb. rule a-> at position 9 .aabaaaaaccbacb. rule ba-> aacb at position 10 .aabaaaaaccaacbcb. rule a-> at position 10 .aabaaaaaccacbcb. rule a-> at position 10 .aabaaaaacccbcb. rule ccc-> ba at position 8 .aabaaaaababcb. rule ba-> aacb at position 8 .aabaaaaaaacbbcb.