/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 0 1 -> 2 0 , 0 2 -> 2 1 0 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 -> 0 2 , 2 0 -> 0 0 1 2 } Loop of length 16 starting with a string of length 8 using right expansion and the encoding { 0->a, 1->b, ... }: .baa.aaaaa rule baa-> ac at position 0 .ac.aaaaa rule ca-> aabc at position 1 .aaabc.aaaa rule ca-> aabc at position 4 .aaabaabc.aaa rule ca-> aabc at position 7 .aaabaabaabc.aa rule baa-> ac at position 6 .aaabaaacbc.aa rule ca-> aabc at position 9 .aaabaaacbaabc.a rule baa-> ac at position 8 .aaabaaacacbc.a rule ca-> aabc at position 7 .aaabaaaaabccbc.a rule ca-> aabc at position 13 .aaabaaaaabccbaabc. rule baa-> ac at position 12 .aaabaaaaabccacbc. rule ca-> aabc at position 11 .aaabaaaaabcaabccbc. rule ca-> aabc at position 10 .aaabaaaaabaabcabccbc. rule baa-> ac at position 9 .aaabaaaaaacbcabccbc. rule ca-> aabc at position 12 .aaabaaaaaacbaabcbccbc. rule baa-> ac at position 11 .aaabaaaaaacacbcbccbc. rule ca-> aabc at position 10 .aaabaaaaaaaabccbcbccbc.