/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 }, it remains to prove termination of the 1-rule system { 0 1 1 0 0 0 0 0 0 0 -> 0 0 0 0 0 0 0 0 0 1 1 0 1 1 } Loop of length 64 starting with a string of length 52 using right expansion and the encoding { 0->a, 1->b, ... }: .abbaaaaaaa.aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 0 .aaaaaaaaabbabb.aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 11 .aaaaaaaaabbaaaaaaaaabbabb.aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 22 .aaaaaaaaabbaaaaaaaaabbaaaaaaaaabbabb.aaaaaaaaaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 19 .aaaaaaaaabbaaaaaaaaaaaaaaaaabbabbaabbabb.aaaaaaaaaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 37 .aaaaaaaaabbaaaaaaaaaaaaaaaaabbabbaabbaaaaaaaaabbabb.aaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 34 .aaaaaaaaabbaaaaaaaaaaaaaaaaabbabbaaaaaaaaaabbabbaabbabb.aaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 30 .aaaaaaaaabbaaaaaaaaaaaaaaaaabbaaaaaaaaabbabbaaabbabbaabbabb.aaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 27 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaaaaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 60 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbaaaaaaaaabbabb.aaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 57 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaaaaaaaaaabbabbaabbabb.aaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 53 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbaaaaaaaaabbabbaaabbabbaabbabb.aaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 50 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaaaaaaaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 45 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbaaaaaaaaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 42 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaabbabbaaaaaaaaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 38 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 35 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaaaaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 99 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbaaaaaaaaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 96 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaaaaaaaaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 92 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbaaaaaaaaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 89 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaaaaaaaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 84 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbaaaaaaaaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 81 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaaaaaaaaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 77 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 74 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 68 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbaaaaaaaaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 65 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaaaaaaaaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 61 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 58 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 53 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbaaaaaaaaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 50 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaaaaaaaaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 46 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 43 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.aaaaaaa rule abbaaaaaaa-> aaaaaaaaabbabb at position 170 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbaaaaaaaaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 167 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaaaaaaaaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 163 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbaaaaaaaaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 160 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaaaaaaaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 155 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbaaaaaaaaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 152 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaaaaaaaaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 148 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 145 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 139 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbaaaaaaaaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 136 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaaaaaaaaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 132 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 129 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 124 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbaaaaaaaaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 121 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaaaaaaaaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 117 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 114 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 107 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbaaaaaaaaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 104 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaaaaaaaaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 100 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 97 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 92 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbaaaaaaaaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 89 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaaaaaaaaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 85 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 82 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 76 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbaaaaaaaaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 73 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaaaaaaaaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 69 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 66 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 61 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbaaaaaaaaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 58 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaaaaaaaaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 54 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbaaaaaaaaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb. rule abbaaaaaaa-> aaaaaaaaabbabb at position 51 .aaaaaaaaabbaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabbaaaaabbabbaabbabbaaabbabbaabbabbaaaabbabbaabbabbaaabbabbaabbabb.