/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 2 2 , 2 1 -> 0 0 2 } Loop of length 38 starting with a string of length 7 using right expansion and the encoding { 0->a, 1->b, ... }: .cb.bbbbb rule cb-> aac at position 0 .aac.bbbbb rule cb-> aac at position 2 .aaaac.bbbb rule aaa-> bbcc at position 0 .bbccac.bbbb rule cb-> aac at position 5 .bbccaaac.bbb rule aaa-> bbcc at position 4 .bbccbbccc.bbb rule cb-> aac at position 8 .bbccbbccaac.bb rule cb-> aac at position 10 .bbccbbccaaaac.b rule aaa-> bbcc at position 8 .bbccbbccbbccac.b rule cb-> aac at position 7 .bbccbbcaacbccac.b rule cb-> aac at position 9 .bbccbbcaaaacccac.b rule aaa-> bbcc at position 7 .bbccbbcbbccacccac.b rule cb-> aac at position 6 .bbccbbaacbccacccac.b rule cb-> aac at position 8 .bbccbbaaaacccacccac.b rule aaa-> bbcc at position 6 .bbccbbbbccacccacccac.b rule cb-> aac at position 19 .bbccbbbbccacccacccaaac. rule aaa-> bbcc at position 18 .bbccbbbbccacccacccbbccc. rule cb-> aac at position 17 .bbccbbbbccacccaccaacbccc. rule cb-> aac at position 19 .bbccbbbbccacccaccaaaacccc. rule aaa-> bbcc at position 17 .bbccbbbbccacccaccbbccacccc. rule cb-> aac at position 16 .bbccbbbbccacccacaacbccacccc. rule cb-> aac at position 18 .bbccbbbbccacccacaaaacccacccc. rule aaa-> bbcc at position 16 .bbccbbbbccacccacbbccacccacccc. rule cb-> aac at position 15 .bbccbbbbccacccaaacbccacccacccc. rule aaa-> bbcc at position 14 .bbccbbbbccacccbbcccbccacccacccc. rule cb-> aac at position 13 .bbccbbbbccaccaacbcccbccacccacccc. rule cb-> aac at position 15 .bbccbbbbccaccaaaaccccbccacccacccc. rule aaa-> bbcc at position 13 .bbccbbbbccaccbbccaccccbccacccacccc. rule cb-> aac at position 12 .bbccbbbbccacaacbccaccccbccacccacccc. rule cb-> aac at position 14 .bbccbbbbccacaaaacccaccccbccacccacccc. rule aaa-> bbcc at position 12 .bbccbbbbccacbbccacccaccccbccacccacccc. rule cb-> aac at position 11 .bbccbbbbccaaacbccacccaccccbccacccacccc. rule aaa-> bbcc at position 10 .bbccbbbbccbbcccbccacccaccccbccacccacccc. rule cb-> aac at position 9 .bbccbbbbcaacbcccbccacccaccccbccacccacccc. rule cb-> aac at position 11 .bbccbbbbcaaaaccccbccacccaccccbccacccacccc. rule aaa-> bbcc at position 9 .bbccbbbbcbbccaccccbccacccaccccbccacccacccc. rule cb-> aac at position 8 .bbccbbbbaacbccaccccbccacccaccccbccacccacccc. rule cb-> aac at position 10 .bbccbbbbaaaacccaccccbccacccaccccbccacccacccc. rule aaa-> bbcc at position 8 .bbccbbbbbbccacccaccccbccacccaccccbccacccacccc.