/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 -> 2 0 , 2 2 -> 1 1 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 , 2 2 -> 0 1 2 1 1 } Loop of length 17 starting with a string of length 6 using right expansion and the encoding { 0->a, 1->b, ... }: .cc.acac rule cc-> abcbb at position 0 .abcbb.acac rule ba-> ac at position 4 .abcbac.cac rule a-> at position 4 .abcbc.cac rule cc-> abcbb at position 4 .abcbabcbb.ac rule ba-> ac at position 3 .abcacbcbb.ac rule a-> at position 3 .abccbcbb.ac rule ba-> ac at position 7 .abccbcbac.c rule ba-> ac at position 6 .abccbcacc.c rule a-> at position 6 .abccbccc.c rule cc-> abcbb at position 5 .abccbabcbbc.c rule ba-> ac at position 4 .abccacbcbbc.c rule cc-> abcbb at position 10 .abccacbcbbabcbb. rule ba-> ac at position 9 .abccacbcbacbcbb. rule ba-> ac at position 8 .abccacbcaccbcbb. rule a-> at position 8 .abccacbcccbcbb. rule cc-> abcbb at position 7 .abccacbabcbbcbcbb. rule ba-> ac at position 6 .abccacacbcbbcbcbb.