/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 -> 1 2 , 0 1 1 -> 2 0 0 0 , 2 2 -> } The system was reversed. After renaming modulo { 0->0, 2->1, 1->2 }, it remains to prove termination of the 3-rule system { 0 -> 1 2 , 2 2 0 -> 0 0 0 1 , 1 1 -> } Loop of length 17 starting with a string of length 9 using right expansion and the encoding { 0->a, 1->b, ... }: .a.cabcabca rule a-> bc at position 0 .bc.cabcabca rule cca-> aaab at position 1 .baaab.bcabca rule a-> bc at position 2 .babcab.bcabca rule a-> bc at position 4 .babcbcb.bcabca rule bb-> at position 6 .babcbc.cabca rule cca-> aaab at position 5 .babcbaaab.bca rule a-> bc at position 5 .babcbbcaab.bca rule bb-> at position 4 .babccaab.bca rule cca-> aaab at position 3 .babaaabab.bca rule a-> bc at position 3 .babbcaabab.bca rule bb-> at position 2 .bacaabab.bca rule a-> bc at position 4 .bacabcbab.bca rule a-> bc at position 7 .bacabcbbcb.bca rule bb-> at position 6 .bacabccb.bca rule bb-> at position 7 .bacabcc.ca rule cca-> aaab at position 6 .bacabcaaab. rule a-> bc at position 7 .bacabcabcab.