/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 1 2 1 , 1 2 -> 0 0 } The system was reversed. After renaming modulo { 1->0, 0->1, 2->2 }, it remains to prove termination of the 3-rule system { 0 1 -> , 2 1 -> 0 2 0 2 , 2 0 -> 1 1 } Loop of length 24 starting with a string of length 6 using right expansion and the encoding { 0->a, 1->b, ... }: .cb.bbbb rule cb-> acac at position 0 .acac.bbbb rule cb-> acac at position 3 .acaacac.bbb rule ca-> bb at position 4 .acaabbc.bbb rule ab-> at position 3 .acabc.bbb rule ab-> at position 2 .acc.bbb rule cb-> acac at position 2 .acacac.bb rule ca-> bb at position 3 .acabbc.bb rule ab-> at position 2 .acbc.bb rule cb-> acac at position 1 .aacacc.bb rule cb-> acac at position 5 .aacacacac.b rule ca-> bb at position 4 .aacabbcac.b rule ab-> at position 3 .aacbcac.b rule cb-> acac at position 2 .aaacaccac.b rule ca-> bb at position 6 .aaacacbbc.b rule cb-> acac at position 5 .aaacaacacbc.b rule ca-> bb at position 6 .aaacaabbcbc.b rule ab-> at position 5 .aaacabcbc.b rule ab-> at position 4 .aaaccbc.b rule cb-> acac at position 4 .aaacacacc.b rule ca-> bb at position 5 .aaacabbcc.b rule ab-> at position 4 .aaacbcc.b rule cb-> acac at position 6 .aaacbcacac. rule ca-> bb at position 5 .aaacbbbcac. rule ca-> bb at position 7 .aaacbbbbbc.