/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 3-rule system { 0 -> , 0 1 -> 1 2 0 , 1 2 2 -> 2 1 0 } 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 2 1 , 2 2 1 -> 0 1 2 } Loop of length 29 starting with a string of length 11 using right expansion and the encoding { 0->a, 1->b, ... }: .ba.acbcbcbcb rule ba-> acb at position 0 .acb.acbcbcbcb rule ba-> acb at position 2 .acacb.cbcbcbcb rule a-> at position 2 .accb.cbcbcbcb rule ccb-> abc at position 1 .aabc.cbcbcbcb rule ccb-> abc at position 3 .aababc.cbcbcb rule ccb-> abc at position 5 .aabababc.cbcb rule ba-> acb at position 4 .aabaacbbc.cbcb rule ccb-> abc at position 8 .aabaacbbabc.cb rule ba-> acb at position 7 .aabaacbacbbc.cb rule ba-> acb at position 6 .aabaacacbcbbc.cb rule a-> at position 6 .aabaaccbcbbc.cb rule ccb-> abc at position 11 .aabaaccbcbbabc. rule ba-> acb at position 10 .aabaaccbcbacbbc. rule ba-> acb at position 9 .aabaaccbcacbcbbc. rule a-> at position 9 .aabaaccbccbcbbc. rule ccb-> abc at position 8 .aabaaccbabccbbc. rule ba-> acb at position 7 .aabaaccacbbccbbc. rule a-> at position 7 .aabaacccbbccbbc. rule ccb-> abc at position 10 .aabaacccbbabcbc. rule ba-> acb at position 9 .aabaacccbacbbcbc. rule ba-> acb at position 8 .aabaacccacbcbbcbc. rule a-> at position 8 .aabaaccccbcbbcbc. rule ccb-> abc at position 7 .aabaaccabccbbcbc. rule a-> at position 7 .aabaaccbccbbcbc. rule ccb-> abc at position 8 .aabaaccbabcbcbc. rule ba-> acb at position 7 .aabaaccacbbcbcbc. rule a-> at position 7 .aabaacccbbcbcbc. rule ccb-> abc at position 6 .aabaacabcbcbcbc. rule a-> at position 6 .aabaacbcbcbcbc.