/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 2-rule system { 0 0 -> 0 1 , 1 1 2 -> 2 2 0 0 0 } Loop of length 24 starting with a string of length 11 using right expansion and the encoding { 0->a, 1->b, ... }: .aa.bcabccacc rule aa-> ab at position 0 .ab.bcabccacc rule bbc-> ccaaa at position 1 .accaaa.abccacc rule aa-> ab at position 5 .accaaab.bccacc rule aa-> ab at position 4 .accaabb.bccacc rule aa-> ab at position 3 .accabbb.bccacc rule bbc-> ccaaa at position 6 .accabbccaaa.cacc rule bbc-> ccaaa at position 4 .accaccaaacaaa.cacc rule aa-> ab at position 7 .accaccaabcaaa.cacc rule aa-> ab at position 6 .accaccabbcaaa.cacc rule bbc-> ccaaa at position 7 .accaccaccaaaaaa.cacc rule aa-> ab at position 13 .accaccaccaaaaab.cacc rule aa-> ab at position 12 .accaccaccaaaabb.cacc rule aa-> ab at position 11 .accaccaccaaabbb.cacc rule aa-> ab at position 10 .accaccaccaabbbb.cacc rule bbc-> ccaaa at position 13 .accaccaccaabbccaaa.acc rule bbc-> ccaaa at position 11 .accaccaccaaccaaacaaa.acc rule aa-> ab at position 14 .accaccaccaaccaabcaaa.acc rule aa-> ab at position 19 .accaccaccaaccaabcaaab.cc rule aa-> ab at position 18 .accaccaccaaccaabcaabb.cc rule aa-> ab at position 17 .accaccaccaaccaabcabbb.cc rule bbc-> ccaaa at position 19 .accaccaccaaccaabcabccaaa.c rule aa-> ab at position 22 .accaccaccaaccaabcabccaab.c rule aa-> ab at position 21 .accaccaccaaccaabcabccabb.c rule bbc-> ccaaa at position 22 .accaccaccaaccaabcabccaccaaa.