/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 4-rule system { 0 -> , 0 1 -> 1 2 0 0 , 2 1 -> , 2 2 -> 1 } The system was reversed. After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 4-rule system { 0 -> , 1 0 -> 0 0 2 1 , 1 2 -> , 2 2 -> 1 } Loop of length 13 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ba.aaacaa rule ba-> aacb at position 0 .aacb.aaacaa rule ba-> aacb at position 3 .aacaacb.aacaa rule a-> at position 3 .aacacb.aacaa rule a-> at position 3 .aaccb.aacaa rule cc-> b at position 2 .aabb.aacaa rule ba-> aacb at position 3 .aabaacb.acaa rule ba-> aacb at position 6 .aabaacaacb.caa rule a-> at position 6 .aabaacacb.caa rule a-> at position 6 .aabaaccb.caa rule cc-> b at position 5 .aabaabb.caa rule bc-> at position 6 .aabaab.aa rule ba-> aacb at position 5 .aabaaaacb.a rule ba-> aacb at position 8 .aabaaaacaacb.