/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 4-rule system { 0 -> , 0 1 -> 1 0 2 1 0 , 1 -> , 2 2 -> } The system was reversed. After renaming modulo { 0->0, 1->1, 2->2 }, it remains to prove termination of the 4-rule system { 0 -> , 1 0 -> 0 1 2 0 1 , 1 -> , 2 2 -> } Loop of length 12 starting with a string of length 6 using right expansion and the encoding { 0->a, 1->b, ... }: .ba.aaca rule ba-> abcab at position 0 .abcab.aaca rule a-> at position 3 .abcb.aaca rule ba-> abcab at position 3 .abcabcab.aca rule a-> at position 3 .abcbcab.aca rule b-> at position 3 .abccab.aca rule cc-> at position 2 .abab.aca rule ba-> abcab at position 3 .abaabcab.ca rule a-> at position 6 .abaabcb.ca rule b-> at position 6 .abaabc.ca rule cc-> at position 5 .abaab.a rule ba-> abcab at position 4 .abaaabcab. rule b-> at position 5 .abaaacab.