/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 0 , 2 2 -> 2 1 0 } Loop of length 29 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .ab.cbbcbb rule ab-> bcaa at position 0 .bcaa.cbbcbb rule a-> at position 2 .bca.cbbcbb rule a-> at position 2 .bc.cbbcbb rule cc-> cba at position 1 .bcba.bbcbb rule ab-> bcaa at position 3 .bcbbcaa.bcbb rule ab-> bcaa at position 6 .bcbbcabcaa.cbb rule ab-> bcaa at position 5 .bcbbcbcaacaa.cbb rule a-> at position 7 .bcbbcbcacaa.cbb rule a-> at position 7 .bcbbcbccaa.cbb rule a-> at position 8 .bcbbcbcca.cbb rule a-> at position 8 .bcbbcbcc.cbb rule cc-> cba at position 7 .bcbbcbccba.bb rule cc-> cba at position 6 .bcbbcbcbaba.bb rule ab-> bcaa at position 8 .bcbbcbcbbcaaa.bb rule ab-> bcaa at position 12 .bcbbcbcbbcaabcaa.b rule ab-> bcaa at position 11 .bcbbcbcbbcabcaacaa.b rule a-> at position 13 .bcbbcbcbbcabcacaa.b rule a-> at position 13 .bcbbcbcbbcabccaa.b rule cc-> cba at position 12 .bcbbcbcbbcabcbaaa.b rule ab-> bcaa at position 16 .bcbbcbcbbcabcbaabcaa. rule ab-> bcaa at position 15 .bcbbcbcbbcabcbabcaacaa. rule ab-> bcaa at position 14 .bcbbcbcbbcabcbbcaacaacaa. rule a-> at position 16 .bcbbcbcbbcabcbbcacaacaa. rule a-> at position 16 .bcbbcbcbbcabcbbccaacaa. rule a-> at position 17 .bcbbcbcbbcabcbbccacaa. rule a-> at position 17 .bcbbcbcbbcabcbbcccaa. rule cc-> cba at position 16 .bcbbcbcbbcabcbbccbaaa. rule cc-> cba at position 15 .bcbbcbcbbcabcbbcbabaaa. rule a-> at position 17 .bcbbcbcbbcabcbbcbbaaa.