/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 -> 2 , 2 2 -> 1 0 2 1 0 0 } Loop of length 31 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .cc.bcbcbc rule cc-> bacbaa at position 0 .bacbaa.bcbcbc rule ab-> c at position 5 .bacbac.cbcbc rule cc-> bacbaa at position 5 .bacbabacbaa.bcbc rule ab-> c at position 4 .bacbcacbaa.bcbc rule a-> at position 5 .bacbccbaa.bcbc rule cc-> bacbaa at position 4 .bacbbacbaabaa.bcbc rule ab-> c at position 9 .bacbbacbacaa.bcbc rule ab-> c at position 11 .bacbbacbacac.cbc rule cc-> bacbaa at position 11 .bacbbacbacabacbaa.bc rule ab-> c at position 10 .bacbbacbaccacbaa.bc rule cc-> bacbaa at position 9 .bacbbacbabacbaaacbaa.bc rule ab-> c at position 8 .bacbbacbcacbaaacbaa.bc rule a-> at position 9 .bacbbacbccbaaacbaa.bc rule cc-> bacbaa at position 8 .bacbbacbbacbaabaaacbaa.bc rule ab-> c at position 13 .bacbbacbbacbacaaacbaa.bc rule a-> at position 14 .bacbbacbbacbacaacbaa.bc rule a-> at position 14 .bacbbacbbacbacacbaa.bc rule a-> at position 14 .bacbbacbbacbaccbaa.bc rule cc-> bacbaa at position 13 .bacbbacbbacbabacbaabaa.bc rule ab-> c at position 12 .bacbbacbbacbcacbaabaa.bc rule a-> at position 13 .bacbbacbbacbccbaabaa.bc rule a-> at position 15 .bacbbacbbacbccbabaa.bc rule ab-> c at position 15 .bacbbacbbacbccbcaa.bc rule ab-> c at position 17 .bacbbacbbacbccbcac.c rule cc-> bacbaa at position 17 .bacbbacbbacbccbcabacbaa. rule ab-> c at position 16 .bacbbacbbacbccbccacbaa. rule a-> at position 17 .bacbbacbbacbccbcccbaa. rule cc-> bacbaa at position 16 .bacbbacbbacbccbcbacbaabaa. rule a-> at position 17 .bacbbacbbacbccbcbcbaabaa. rule a-> at position 19 .bacbbacbbacbccbcbcbabaa. rule ab-> c at position 19 .bacbbacbbacbccbcbcbcaa.