/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 -> , 0 2 -> 2 2 2 1 , 1 2 -> 0 1 } Loop of length 30 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .bc.cccccc rule bc-> ab at position 0 .ab.cccccc rule bc-> ab at position 1 .aab.ccccc rule bc-> ab at position 2 .aaab.cccc rule bc-> ab at position 3 .aaaab.ccc rule bc-> ab at position 4 .aaaaab.cc rule bc-> ab at position 5 .aaaaaab.c rule ab-> at position 5 .aaaaa.c rule ac-> cccb at position 4 .aaaacccb. rule ac-> cccb at position 3 .aaacccbccb. rule ac-> cccb at position 2 .aacccbccbccb. rule ac-> cccb at position 1 .acccbccbccbccb. rule ac-> cccb at position 0 .cccbccbccbccbccb. rule bc-> ab at position 6 .cccbccabcbccbccb. rule bc-> ab at position 7 .cccbccaabbccbccb. rule bc-> ab at position 9 .cccbccaababcbccb. rule bc-> ab at position 10 .cccbccaabaabbccb. rule ab-> at position 10 .cccbccaababccb. rule bc-> ab at position 10 .cccbccaabaabcb. rule ab-> at position 10 .cccbccaabacb. rule ac-> cccb at position 9 .cccbccaabcccbb. rule bc-> ab at position 8 .cccbccaaabccbb. rule bc-> ab at position 9 .cccbccaaaabcbb. rule ab-> at position 9 .cccbccaaacbb. rule ac-> cccb at position 8 .cccbccaacccbbb. rule ac-> cccb at position 7 .cccbccacccbccbbb. rule ac-> cccb at position 6 .cccbcccccbccbccbbb. rule bc-> ab at position 9 .cccbcccccabcbccbbb. rule ab-> at position 9 .cccbccccccbccbbb. rule bc-> ab at position 10 .cccbccccccabcbbb. rule ab-> at position 10 .cccbcccccccbbb.