/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { b->0, a->1, c->2 }, it remains to prove termination of the 7-rule system { 0 1 1 -> 2 1 2 , 1 2 0 -> 2 1 2 , 2 0 2 -> 0 0 1 , 1 0 2 -> 0 2 0 , 0 0 0 ->= 2 2 1 , 2 2 2 ->= 0 0 2 , 0 0 0 ->= 0 0 2 } Loop of length 10 starting with a string of length 9 using right expansion and the encoding { 0->a, 1->b, ... }: .aaa.acbaac rule aaa->= aac at position 0 .aac.acbaac rule cac-> aab at position 2 .aaaab.baac rule abb-> cbc at position 3 .aaacbc.aac rule bca-> cbc at position 4 .aaaccbc.ac rule bca-> cbc at position 5 .aaacccbc.c rule ccc->= aac at position 3 .aaaaacbc.c rule aaa->= aac at position 1 .aaacacbc.c rule cac-> aab at position 3 .aaaaabbc.c rule abb-> cbc at position 4 .aaaacbcc.c rule ccc->= aac at position 6 .aaaacbaac.