/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 1 2 0 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 -> 2 0 2 1 1 , 2 2 -> 0 1 } Loop of length 23 starting with a string of length 4 using right expansion and the encoding { 0->a, 1->b, ... }: .ba.aa rule ba-> cacbb at position 0 .cacbb.aa rule ba-> cacbb at position 4 .cacbcacbb.a rule a-> at position 5 .cacbccbb.a rule cc-> ab at position 4 .cacbabbb.a rule ba-> cacbb at position 3 .caccacbbbbb.a rule cc-> ab at position 2 .caabacbbbbb.a rule ba-> cacbb at position 10 .caabacbbbbcacbb. rule a-> at position 11 .caabacbbbbccbb. rule cc-> ab at position 10 .caabacbbbbabbb. rule ba-> cacbb at position 9 .caabacbbbcacbbbbb. rule a-> at position 10 .caabacbbbccbbbbb. rule cc-> ab at position 9 .caabacbbbabbbbbb. rule ba-> cacbb at position 8 .caabacbbcacbbbbbbbb. rule a-> at position 9 .caabacbbccbbbbbbbb. rule cc-> ab at position 8 .caabacbbabbbbbbbbb. rule ba-> cacbb at position 7 .caabacbcacbbbbbbbbbbb. rule a-> at position 8 .caabacbccbbbbbbbbbbb. rule cc-> ab at position 7 .caabacbabbbbbbbbbbbb. rule ba-> cacbb at position 6 .caabaccacbbbbbbbbbbbbbb. rule cc-> ab at position 5 .caabaabacbbbbbbbbbbbbbb. rule ba-> cacbb at position 6 .caabaacacbbcbbbbbbbbbbbbbb. rule a-> at position 7 .caabaaccbbcbbbbbbbbbbbbbb. rule cc-> ab at position 6 .caabaaabbbcbbbbbbbbbbbbbb.