/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo { b->0, a->1, c->2 }, it remains to prove termination of the 1-rule system { 0 1 2 1 1 1 1 1 1 -> 1 1 1 1 1 1 0 1 2 0 1 2 1 } Loop of length 64 starting with a string of length 39 using right expansion and the encoding { 0->a, 1->b, ... }: .abcbbbbbb.bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 0 .bbbbbbabcabcb.bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 9 .bbbbbbabcbbbbbbabcabcb.bbbbbbbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 18 .bbbbbbabcbbbbbbabcbbbbbbabcabcb.bbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 15 .bbbbbbabcbbbbbbbbbbbbabcabcbabcabcb.bbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 31 .bbbbbbabcbbbbbbbbbbbbabcabcbabcbbbbbbabcabcb.bbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 28 .bbbbbbabcbbbbbbbbbbbbabcabcbbbbbbbabcabcbabcabcb.bbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 24 .bbbbbbabcbbbbbbbbbbbbabcbbbbbbabcabcbbabcabcbabcabcb.bbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 21 .bbbbbbabcbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcb.bbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 52 .bbbbbbabcbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcbbbbbbabcabcb.bbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 49 .bbbbbbabcbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbbbbbbbabcabcbabcabcb.bbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 45 .bbbbbbabcbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcbbbbbbabcabcbbabcabcbabcabcb.bbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 42 .bbbbbbabcbbbbbbbbbbbbbbbbbbabcabcbabcabcbbbbbbbbabcabcbabcabcbbabcabcbabcabcb.bbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 37 .bbbbbbabcbbbbbbbbbbbbbbbbbbabcabcbabcbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 34 .bbbbbbabcbbbbbbbbbbbbbbbbbbabcabcbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 30 .bbbbbbabcbbbbbbbbbbbbbbbbbbabcbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 27 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbbbbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 89 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcbbbbbbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 86 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbbbbbbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 82 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcbbbbbbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 79 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbbbbbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 74 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 71 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 67 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 64 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 58 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcbbbbbbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 55 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbbbbbbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 51 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcbbbbbbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 48 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 43 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 40 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcabcbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 36 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbabcbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 33 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.bbbbb rule abcbbbbbb-> bbbbbbabcabcb at position 158 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcbbbbbbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 155 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbbbbbbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 151 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcbbbbbbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 148 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbbbbbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 143 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 140 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 136 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 133 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 127 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcbbbbbbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 124 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbbbbbbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 120 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcbbbbbbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 117 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 112 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 109 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 105 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 102 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 95 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcbbbbbbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 92 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbbbbbbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 88 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcbbbbbbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 85 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 80 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 77 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 73 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 70 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 64 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcbbbbbbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 61 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbbbbbbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 57 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcbbbbbbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 54 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 49 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 46 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 42 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb. rule abcbbbbbb-> bbbbbbabcabcb at position 39 .bbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcb.