/export/starexec/sandbox/solver/bin/starexec_run_default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- NO After renaming modulo the bijection { 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 1 0 1 2 0 1 2 } Loop of length 64 starting with a string of length 45 using right expansion and the encoding { 0 ↦ a, 1 ↦ b, ... }: .abcbbbbbb.bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 0 .bbbbbbbabcabc.bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 10 .bbbbbbbabcbbbbbbbabcabc.bbbbbbbbbbbbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 20 .bbbbbbbabcbbbbbbbabcbbbbbbbabcabc.bbbbbbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 17 .bbbbbbbabcbbbbbbbbbbbbbbabcabcbabcabc.bbbbbbbbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 34 .bbbbbbbabcbbbbbbbbbbbbbbabcabcbabcbbbbbbbabcabc.bbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 31 .bbbbbbbabcbbbbbbbbbbbbbbabcabcbbbbbbbbabcabcbabcabc.bbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 27 .bbbbbbbabcbbbbbbbbbbbbbbabcbbbbbbbabcabcbbabcabcbabcabc.bbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 24 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabc.bbbbbbbbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 56 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcbbbbbbbabcabc.bbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 53 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbbbbbbbbabcabcbabcabc.bbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 49 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcbbbbbbbabcabcbbabcabcbabcabc.bbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 46 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabc.bbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 41 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbabcabcbabcbbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 38 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbabcabcbbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 34 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbabcbbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 31 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbbbbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 94 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcbbbbbbbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 91 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbbbbbbbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 87 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcbbbbbbbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 84 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 79 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcbbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 76 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 72 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcbbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 69 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 63 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcbbbbbbbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 60 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbbbbbbbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 56 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcbbbbbbbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 53 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 48 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcbbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 45 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 41 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcbbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 38 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.bbbbbb rule abcbbbbbb-> bbbbbbbabcabc at position 164 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcbbbbbbbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 161 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbbbbbbbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 157 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcbbbbbbbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 154 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 149 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcbbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 146 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 142 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcbbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 139 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 133 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcbbbbbbbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 130 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbbbbbbbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 126 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcbbbbbbbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 123 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 118 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcbbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 115 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 111 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcbbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 108 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 101 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcbbbbbbbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 98 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbbbbbbbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 94 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcbbbbbbbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 91 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 86 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcbbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 83 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 79 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcbbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 76 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 70 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcbbbbbbbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 67 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbbbbbbbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 63 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcbbbbbbbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 60 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 55 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcbbbbbbbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 52 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbbbbbbbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 48 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcbbbbbbbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc. rule abcbbbbbb-> bbbbbbbabcabc at position 45 .bbbbbbbabcbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabcbbbbabcabcbabcabcbbabcabcbabcabcbbbabcabcbabcabcbbabcabcbabcabc.