/export/starexec/sandbox2/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 151 rules on 6 letters mirror SRS with 151 rules on 6 letters Matchbound { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 2 certified by automaton with 2434 states ************************************************** proof ************************************************** property Termination has value Just True for SRS [0, 1, 0, 1] -> [0, 0, 2, 1, 3, 1] {- Input 0 -} [0, 1, 0, 1] -> [2, 1, 0, 2, 0, 1] {- Input 1 -} [0, 1, 0, 1] -> [2, 1, 3, 1, 0, 0] {- Input 2 -} [4, 1, 0, 1] -> [1, 0, 4, 2, 1] {- Input 3 -} [4, 1, 0, 1] -> [4, 1, 0, 2, 1] {- Input 4 -} [4, 1, 0, 1] -> [0, 2, 1, 3, 4, 1] {- Input 5 -} [4, 1, 0, 1] -> [0, 4, 2, 1, 3, 1] {- Input 6 -} [4, 1, 0, 1] -> [1, 0, 2, 4, 1, 3] {- Input 7 -} [4, 1, 0, 1] -> [1, 0, 4, 2, 2, 1] {- Input 8 -} [4, 1, 0, 1] -> [1, 0, 4, 5, 2, 1] {- Input 9 -} [4, 1, 0, 1] -> [4, 0, 2, 1, 3, 1] {- Input 10 -} [4, 1, 0, 1] -> [4, 1, 0, 2, 1, 3] {- Input 11 -} [4, 1, 0, 1] -> [4, 1, 3, 0, 2, 1] {- Input 12 -} [4, 1, 1, 1] -> [4, 1, 3, 1, 3, 1] {- Input 13 -} [4, 3, 0, 1] -> [0, 2, 1, 3, 4] {- Input 14 -} [4, 3, 0, 1] -> [0, 2, 4, 1, 3] {- Input 15 -} [4, 3, 0, 1] -> [0, 4, 2, 1, 3] {- Input 16 -} [4, 3, 0, 1] -> [3, 0, 4, 2, 1] {- Input 17 -} [4, 3, 0, 1] -> [3, 4, 0, 2, 1] {- Input 18 -} [4, 3, 0, 1] -> [4, 0, 2, 1, 3] {- Input 19 -} [4, 3, 0, 1] -> [4, 3, 0, 2, 1] {- Input 20 -} [4, 3, 0, 1] -> [0, 2, 1, 3, 3, 4] {- Input 21 -} [4, 3, 0, 1] -> [0, 2, 1, 3, 4, 3] {- Input 22 -} [4, 3, 0, 1] -> [0, 2, 4, 1, 3, 3] {- Input 23 -} [4, 3, 0, 1] -> [0, 4, 2, 2, 1, 3] {- Input 24 -} [4, 3, 0, 1] -> [0, 4, 5, 2, 1, 3] {- Input 25 -} [4, 3, 0, 1] -> [1, 0, 2, 1, 3, 4] {- Input 26 -} [4, 3, 0, 1] -> [1, 0, 2, 4, 1, 3] {- Input 27 -} [4, 3, 0, 1] -> [1, 0, 4, 2, 1, 3] {- Input 28 -} [4, 3, 0, 1] -> [1, 3, 0, 4, 2, 1] {- Input 29 -} [4, 3, 0, 1] -> [3, 0, 4, 5, 2, 1] {- Input 30 -} [4, 3, 0, 1] -> [3, 1, 0, 4, 2, 1] {- Input 31 -} [4, 3, 0, 1] -> [3, 3, 4, 0, 2, 1] {- Input 32 -} [4, 3, 0, 1] -> [3, 4, 0, 2, 1, 3] {- Input 33 -} [4, 3, 0, 1] -> [3, 4, 0, 2, 2, 1] {- Input 34 -} [4, 3, 0, 1] -> [3, 4, 0, 5, 2, 1] {- Input 35 -} [4, 3, 0, 1] -> [3, 4, 1, 0, 2, 1] {- Input 36 -} [4, 3, 0, 1] -> [3, 4, 3, 0, 2, 1] {- Input 37 -} [4, 3, 0, 1] -> [4, 3, 0, 2, 1, 3] {- Input 38 -} [4, 3, 0, 1] -> [4, 3, 0, 5, 2, 1] {- Input 39 -} [4, 3, 0, 1] -> [4, 3, 1, 0, 2, 1] {- Input 40 -} [4, 3, 0, 1] -> [4, 3, 3, 0, 2, 1] {- Input 41 -} [4, 5, 1, 1] -> [4, 5, 2, 1, 1] {- Input 42 -} [4, 5, 1, 1] -> [4, 2, 5, 2, 1, 1] {- Input 43 -} [4, 5, 1, 1] -> [4, 5, 2, 1, 3, 1] {- Input 44 -} [4, 5, 1, 1] -> [4, 5, 2, 2, 1, 1] {- Input 45 -} [4, 5, 1, 1] -> [4, 5, 5, 2, 1, 1] {- Input 46 -} [0, 0, 1, 0, 1] -> [0, 0, 1, 0, 2, 1] {- Input 47 -} [0, 0, 3, 1, 1] -> [2, 1, 3, 1, 0, 0] {- Input 48 -} [0, 0, 5, 1, 1] -> [5, 0, 0, 2, 1, 1] {- Input 49 -} [0, 4, 1, 0, 1] -> [2, 1, 0, 4, 0, 1] {- Input 50 -} [0, 4, 3, 0, 1] -> [0, 0, 2, 1, 3, 4] {- Input 51 -} [0, 4, 3, 0, 1] -> [0, 4, 3, 0, 2, 1] {- Input 52 -} [0, 4, 3, 0, 1] -> [2, 3, 1, 0, 4, 0] {- Input 53 -} [0, 4, 3, 1, 1] -> [2, 1, 4, 1, 3, 0] {- Input 54 -} [0, 4, 3, 1, 1] -> [4, 2, 0, 3, 1, 1] {- Input 55 -} [0, 4, 5, 1, 1] -> [4, 0, 1, 5, 2, 1] {- Input 56 -} [0, 4, 5, 1, 1] -> [5, 2, 1, 4, 0, 1] {- Input 57 -} [4, 0, 3, 0, 1] -> [0, 0, 4, 2, 1, 3] {- Input 58 -} [4, 0, 3, 0, 1] -> [2, 0, 4, 0, 1, 3] {- Input 59 -} [4, 0, 3, 0, 1] -> [2, 0, 4, 0, 3, 1] {- Input 60 -} [4, 1, 0, 1, 1] -> [1, 0, 4, 2, 1, 1] {- Input 61 -} [4, 1, 1, 0, 1] -> [4, 1, 0, 2, 1, 1] {- Input 62 -} [4, 1, 2, 0, 1] -> [0, 4, 2, 1, 3, 1] {- Input 63 -} [4, 1, 2, 0, 1] -> [1, 0, 2, 4, 1, 3] {- Input 64 -} [4, 1, 2, 0, 1] -> [4, 0, 2, 2, 1, 1] {- Input 65 -} [4, 1, 2, 0, 1] -> [4, 1, 0, 2, 2, 1] {- Input 66 -} [4, 1, 3, 0, 1] -> [4, 1, 3, 0, 2, 1] {- Input 67 -} [4, 1, 5, 0, 1] -> [1, 1, 5, 0, 4, 2] {- Input 68 -} [4, 1, 5, 1, 1] -> [1, 4, 5, 2, 1, 1] {- Input 69 -} [4, 3, 0, 1, 1] -> [1, 3, 0, 2, 1, 4] {- Input 70 -} [4, 3, 0, 1, 1] -> [1, 3, 1, 4, 0, 2] {- Input 71 -} [4, 3, 0, 1, 1] -> [1, 3, 1, 4, 2, 0] {- Input 72 -} [4, 3, 0, 1, 1] -> [3, 1, 0, 2, 4, 1] {- Input 73 -} [4, 3, 0, 1, 1] -> [4, 3, 1, 1, 0, 2] {- Input 74 -} [4, 3, 1, 0, 1] -> [0, 4, 2, 1, 3, 1] {- Input 75 -} [4, 3, 1, 0, 1] -> [1, 3, 4, 0, 2, 1] {- Input 76 -} [4, 3, 2, 0, 1] -> [3, 4, 0, 2, 2, 1] {- Input 77 -} [4, 3, 2, 0, 1] -> [3, 4, 0, 5, 2, 1] {- Input 78 -} [4, 3, 2, 0, 1] -> [4, 0, 2, 1, 3, 1] {- Input 79 -} [4, 3, 2, 0, 1] -> [4, 3, 0, 2, 1, 3] {- Input 80 -} [4, 3, 2, 1, 1] -> [1, 3, 1, 2, 4, 2] {- Input 81 -} [4, 3, 2, 1, 1] -> [1, 3, 1, 4, 5, 2] {- Input 82 -} [4, 3, 2, 1, 1] -> [3, 1, 3, 4, 1, 2] {- Input 83 -} [4, 3, 2, 1, 1] -> [4, 1, 3, 1, 2, 2] {- Input 84 -} [4, 3, 2, 1, 1] -> [4, 1, 3, 3, 1, 2] {- Input 85 -} [4, 3, 3, 0, 1] -> [4, 3, 3, 0, 2, 1] {- Input 86 -} [4, 3, 4, 0, 1] -> [3, 4, 0, 4, 2, 1] {- Input 87 -} [4, 3, 4, 0, 1] -> [4, 4, 0, 2, 1, 3] {- Input 88 -} [4, 3, 5, 0, 1] -> [0, 5, 2, 3, 1, 4] {- Input 89 -} [4, 3, 5, 0, 1] -> [1, 3, 0, 2, 5, 4] {- Input 90 -} [4, 3, 5, 0, 1] -> [1, 3, 0, 4, 2, 5] {- Input 91 -} [4, 3, 5, 0, 1] -> [1, 3, 4, 0, 5, 2] {- Input 92 -} [4, 3, 5, 0, 1] -> [3, 1, 0, 4, 2, 5] {- Input 93 -} [4, 3, 5, 0, 1] -> [3, 1, 5, 0, 4, 2] {- Input 94 -} [4, 3, 5, 0, 1] -> [3, 4, 0, 2, 1, 5] {- Input 95 -} [4, 3, 5, 0, 1] -> [3, 4, 1, 5, 0, 2] {- Input 96 -} [4, 3, 5, 0, 1] -> [3, 5, 1, 0, 4, 2] {- Input 97 -} [4, 3, 5, 0, 1] -> [4, 3, 0, 2, 1, 5] {- Input 98 -} [4, 3, 5, 0, 1] -> [5, 1, 3, 4, 0, 2] {- Input 99 -} [4, 3, 5, 1, 1] -> [1, 4, 5, 2, 1, 3] {- Input 100 -} [4, 3, 5, 1, 1] -> [3, 1, 1, 5, 4, 2] {- Input 101 -} [4, 3, 5, 1, 1] -> [3, 1, 4, 5, 2, 1] {- Input 102 -} [4, 3, 5, 1, 1] -> [4, 1, 3, 1, 3, 5] {- Input 103 -} [4, 3, 5, 1, 1] -> [4, 1, 5, 2, 1, 3] {- Input 104 -} [4, 3, 5, 1, 1] -> [4, 3, 1, 5, 2, 1] {- Input 105 -} [4, 4, 1, 0, 1] -> [4, 4, 1, 0, 2, 1] {- Input 106 -} [4, 4, 3, 0, 1] -> [0, 4, 4, 2, 1, 3] {- Input 107 -} [4, 4, 3, 0, 1] -> [4, 0, 2, 1, 3, 4] {- Input 108 -} [4, 4, 3, 0, 1] -> [4, 3, 4, 0, 2, 1] {- Input 109 -} [4, 4, 3, 0, 1] -> [4, 4, 3, 0, 2, 1] {- Input 110 -} [4, 5, 1, 0, 1] -> [0, 5, 1, 3, 4, 1] {- Input 111 -} [4, 5, 1, 0, 1] -> [0, 5, 4, 1, 3, 1] {- Input 112 -} [4, 5, 1, 0, 1] -> [1, 0, 4, 5, 2, 1] {- Input 113 -} [4, 5, 1, 0, 1] -> [4, 0, 5, 2, 1, 1] {- Input 114 -} [4, 5, 1, 0, 1] -> [4, 5, 1, 0, 2, 1] {- Input 115 -} [4, 5, 1, 0, 1] -> [5, 1, 0, 2, 4, 1] {- Input 116 -} [4, 5, 1, 0, 1] -> [5, 4, 1, 0, 2, 1] {- Input 117 -} [4, 5, 1, 1, 1] -> [4, 5, 2, 1, 1, 1] {- Input 118 -} [4, 5, 3, 0, 1] -> [0, 2, 1, 3, 4, 5] {- Input 119 -} [4, 5, 3, 0, 1] -> [0, 5, 2, 1, 3, 4] {- Input 120 -} [4, 5, 3, 0, 1] -> [0, 5, 2, 4, 3, 1] {- Input 121 -} [4, 5, 3, 0, 1] -> [0, 5, 4, 2, 1, 3] {- Input 122 -} [4, 5, 3, 0, 1] -> [1, 0, 5, 1, 3, 4] {- Input 123 -} [4, 5, 3, 0, 1] -> [1, 5, 0, 3, 3, 4] {- Input 124 -} [4, 5, 3, 0, 1] -> [2, 1, 4, 5, 0, 3] {- Input 125 -} [4, 5, 3, 0, 1] -> [2, 4, 1, 3, 5, 0] {- Input 126 -} [4, 5, 3, 0, 1] -> [3, 0, 4, 5, 2, 1] {- Input 127 -} [4, 5, 3, 0, 1] -> [4, 0, 3, 1, 5, 2] {- Input 128 -} [4, 5, 3, 0, 1] -> [4, 0, 3, 3, 5, 1] {- Input 129 -} [4, 5, 3, 0, 1] -> [4, 0, 5, 4, 1, 3] {- Input 130 -} [4, 5, 3, 0, 1] -> [4, 1, 3, 5, 0, 3] {- Input 131 -} [4, 5, 3, 0, 1] -> [4, 1, 3, 5, 5, 0] {- Input 132 -} [4, 5, 3, 0, 1] -> [4, 2, 5, 0, 3, 1] {- Input 133 -} [4, 5, 3, 0, 1] -> [4, 5, 2, 0, 3, 1] {- Input 134 -} [4, 5, 3, 0, 1] -> [5, 0, 3, 1, 4, 1] {- Input 135 -} [4, 5, 3, 0, 1] -> [5, 0, 3, 4, 4, 1] {- Input 136 -} [4, 5, 3, 0, 1] -> [5, 1, 3, 0, 3, 4] {- Input 137 -} [4, 5, 3, 0, 1] -> [5, 2, 1, 3, 4, 0] {- Input 138 -} [4, 5, 3, 0, 1] -> [5, 2, 4, 1, 3, 0] {- Input 139 -} [4, 5, 3, 0, 1] -> [5, 3, 0, 4, 2, 1] {- Input 140 -} [4, 5, 3, 0, 1] -> [5, 4, 1, 3, 0, 1] {- Input 141 -} [4, 5, 3, 0, 1] -> [5, 4, 1, 3, 2, 0] {- Input 142 -} [4, 5, 3, 0, 1] -> [5, 4, 3, 0, 2, 1] {- Input 143 -} [4, 5, 3, 1, 1] -> [2, 4, 1, 3, 1, 5] {- Input 144 -} [4, 5, 3, 1, 1] -> [4, 5, 2, 1, 3, 1] {- Input 145 -} [4, 5, 3, 1, 1] -> [5, 1, 3, 4, 1, 2] {- Input 146 -} [4, 5, 3, 1, 1] -> [5, 2, 1, 4, 1, 3] {- Input 147 -} [4, 5, 3, 1, 1] -> [5, 4, 2, 1, 3, 1] {- Input 148 -} [4, 5, 5, 1, 1] -> [5, 5, 2, 1, 1, 4] {- Input 149 -} [4, 5, 5, 1, 1] -> [5, 5, 2, 4, 1, 1] {- Input 150 -} reason mirror property Termination has value Just True for SRS [1, 0, 1, 0] -> [1, 3, 1, 2, 0, 0] {- Mirror (Input 0) -} [1, 0, 1, 0] -> [1, 0, 2, 0, 1, 2] {- Mirror (Input 1) -} [1, 0, 1, 0] -> [0, 0, 1, 3, 1, 2] {- Mirror (Input 2) -} [1, 0, 1, 4] -> [1, 2, 4, 0, 1] {- Mirror (Input 3) -} [1, 0, 1, 4] -> [1, 2, 0, 1, 4] {- Mirror (Input 4) -} [1, 0, 1, 4] -> [1, 4, 3, 1, 2, 0] {- Mirror (Input 5) -} [1, 0, 1, 4] -> [1, 3, 1, 2, 4, 0] {- Mirror (Input 6) -} [1, 0, 1, 4] -> [3, 1, 4, 2, 0, 1] {- Mirror (Input 7) -} [1, 0, 1, 4] -> [1, 2, 2, 4, 0, 1] {- Mirror (Input 8) -} [1, 0, 1, 4] -> [1, 2, 5, 4, 0, 1] {- Mirror (Input 9) -} [1, 0, 1, 4] -> [1, 3, 1, 2, 0, 4] {- Mirror (Input 10) -} [1, 0, 1, 4] -> [3, 1, 2, 0, 1, 4] {- Mirror (Input 11) -} [1, 0, 1, 4] -> [1, 2, 0, 3, 1, 4] {- Mirror (Input 12) -} [1, 1, 1, 4] -> [1, 3, 1, 3, 1, 4] {- Mirror (Input 13) -} [1, 0, 3, 4] -> [4, 3, 1, 2, 0] {- Mirror (Input 14) -} [1, 0, 3, 4] -> [3, 1, 4, 2, 0] {- Mirror (Input 15) -} [1, 0, 3, 4] -> [3, 1, 2, 4, 0] {- Mirror (Input 16) -} [1, 0, 3, 4] -> [1, 2, 4, 0, 3] {- Mirror (Input 17) -} [1, 0, 3, 4] -> [1, 2, 0, 4, 3] {- Mirror (Input 18) -} [1, 0, 3, 4] -> [3, 1, 2, 0, 4] {- Mirror (Input 19) -} [1, 0, 3, 4] -> [1, 2, 0, 3, 4] {- Mirror (Input 20) -} [1, 0, 3, 4] -> [4, 3, 3, 1, 2, 0] {- Mirror (Input 21) -} [1, 0, 3, 4] -> [3, 4, 3, 1, 2, 0] {- Mirror (Input 22) -} [1, 0, 3, 4] -> [3, 3, 1, 4, 2, 0] {- Mirror (Input 23) -} [1, 0, 3, 4] -> [3, 1, 2, 2, 4, 0] {- Mirror (Input 24) -} [1, 0, 3, 4] -> [3, 1, 2, 5, 4, 0] {- Mirror (Input 25) -} [1, 0, 3, 4] -> [4, 3, 1, 2, 0, 1] {- Mirror (Input 26) -} [1, 0, 3, 4] -> [3, 1, 4, 2, 0, 1] {- Mirror (Input 27) -} [1, 0, 3, 4] -> [3, 1, 2, 4, 0, 1] {- Mirror (Input 28) -} [1, 0, 3, 4] -> [1, 2, 4, 0, 3, 1] {- Mirror (Input 29) -} [1, 0, 3, 4] -> [1, 2, 5, 4, 0, 3] {- Mirror (Input 30) -} [1, 0, 3, 4] -> [1, 2, 4, 0, 1, 3] {- Mirror (Input 31) -} [1, 0, 3, 4] -> [1, 2, 0, 4, 3, 3] {- Mirror (Input 32) -} [1, 0, 3, 4] -> [3, 1, 2, 0, 4, 3] {- Mirror (Input 33) -} [1, 0, 3, 4] -> [1, 2, 2, 0, 4, 3] {- Mirror (Input 34) -} [1, 0, 3, 4] -> [1, 2, 5, 0, 4, 3] {- Mirror (Input 35) -} [1, 0, 3, 4] -> [1, 2, 0, 1, 4, 3] {- Mirror (Input 36) -} [1, 0, 3, 4] -> [1, 2, 0, 3, 4, 3] {- Mirror (Input 37) -} [1, 0, 3, 4] -> [3, 1, 2, 0, 3, 4] {- Mirror (Input 38) -} [1, 0, 3, 4] -> [1, 2, 5, 0, 3, 4] {- Mirror (Input 39) -} [1, 0, 3, 4] -> [1, 2, 0, 1, 3, 4] {- Mirror (Input 40) -} [1, 0, 3, 4] -> [1, 2, 0, 3, 3, 4] {- Mirror (Input 41) -} [1, 1, 5, 4] -> [1, 1, 2, 5, 4] {- Mirror (Input 42) -} [1, 1, 5, 4] -> [1, 1, 2, 5, 2, 4] {- Mirror (Input 43) -} [1, 1, 5, 4] -> [1, 3, 1, 2, 5, 4] {- Mirror (Input 44) -} [1, 1, 5, 4] -> [1, 1, 2, 2, 5, 4] {- Mirror (Input 45) -} [1, 1, 5, 4] -> [1, 1, 2, 5, 5, 4] {- Mirror (Input 46) -} [1, 0, 1, 0, 0] -> [1, 2, 0, 1, 0, 0] {- Mirror (Input 47) -} [1, 1, 3, 0, 0] -> [0, 0, 1, 3, 1, 2] {- Mirror (Input 48) -} [1, 1, 5, 0, 0] -> [1, 1, 2, 0, 0, 5] {- Mirror (Input 49) -} [1, 0, 1, 4, 0] -> [1, 0, 4, 0, 1, 2] {- Mirror (Input 50) -} [1, 0, 3, 4, 0] -> [4, 3, 1, 2, 0, 0] {- Mirror (Input 51) -} [1, 0, 3, 4, 0] -> [1, 2, 0, 3, 4, 0] {- Mirror (Input 52) -} [1, 0, 3, 4, 0] -> [0, 4, 0, 1, 3, 2] {- Mirror (Input 53) -} [1, 1, 3, 4, 0] -> [0, 3, 1, 4, 1, 2] {- Mirror (Input 54) -} [1, 1, 3, 4, 0] -> [1, 1, 3, 0, 2, 4] {- Mirror (Input 55) -} [1, 1, 5, 4, 0] -> [1, 2, 5, 1, 0, 4] {- Mirror (Input 56) -} [1, 1, 5, 4, 0] -> [1, 0, 4, 1, 2, 5] {- Mirror (Input 57) -} [1, 0, 3, 0, 4] -> [3, 1, 2, 4, 0, 0] {- Mirror (Input 58) -} [1, 0, 3, 0, 4] -> [3, 1, 0, 4, 0, 2] {- Mirror (Input 59) -} [1, 0, 3, 0, 4] -> [1, 3, 0, 4, 0, 2] {- Mirror (Input 60) -} [1, 1, 0, 1, 4] -> [1, 1, 2, 4, 0, 1] {- Mirror (Input 61) -} [1, 0, 1, 1, 4] -> [1, 1, 2, 0, 1, 4] {- Mirror (Input 62) -} [1, 0, 2, 1, 4] -> [1, 3, 1, 2, 4, 0] {- Mirror (Input 63) -} [1, 0, 2, 1, 4] -> [3, 1, 4, 2, 0, 1] {- Mirror (Input 64) -} [1, 0, 2, 1, 4] -> [1, 1, 2, 2, 0, 4] {- Mirror (Input 65) -} [1, 0, 2, 1, 4] -> [1, 2, 2, 0, 1, 4] {- Mirror (Input 66) -} [1, 0, 3, 1, 4] -> [1, 2, 0, 3, 1, 4] {- Mirror (Input 67) -} [1, 0, 5, 1, 4] -> [2, 4, 0, 5, 1, 1] {- Mirror (Input 68) -} [1, 1, 5, 1, 4] -> [1, 1, 2, 5, 4, 1] {- Mirror (Input 69) -} [1, 1, 0, 3, 4] -> [4, 1, 2, 0, 3, 1] {- Mirror (Input 70) -} [1, 1, 0, 3, 4] -> [2, 0, 4, 1, 3, 1] {- Mirror (Input 71) -} [1, 1, 0, 3, 4] -> [0, 2, 4, 1, 3, 1] {- Mirror (Input 72) -} [1, 1, 0, 3, 4] -> [1, 4, 2, 0, 1, 3] {- Mirror (Input 73) -} [1, 1, 0, 3, 4] -> [2, 0, 1, 1, 3, 4] {- Mirror (Input 74) -} [1, 0, 1, 3, 4] -> [1, 3, 1, 2, 4, 0] {- Mirror (Input 75) -} [1, 0, 1, 3, 4] -> [1, 2, 0, 4, 3, 1] {- Mirror (Input 76) -} [1, 0, 2, 3, 4] -> [1, 2, 2, 0, 4, 3] {- Mirror (Input 77) -} [1, 0, 2, 3, 4] -> [1, 2, 5, 0, 4, 3] {- Mirror (Input 78) -} [1, 0, 2, 3, 4] -> [1, 3, 1, 2, 0, 4] {- Mirror (Input 79) -} [1, 0, 2, 3, 4] -> [3, 1, 2, 0, 3, 4] {- Mirror (Input 80) -} [1, 1, 2, 3, 4] -> [2, 4, 2, 1, 3, 1] {- Mirror (Input 81) -} [1, 1, 2, 3, 4] -> [2, 5, 4, 1, 3, 1] {- Mirror (Input 82) -} [1, 1, 2, 3, 4] -> [2, 1, 4, 3, 1, 3] {- Mirror (Input 83) -} [1, 1, 2, 3, 4] -> [2, 2, 1, 3, 1, 4] {- Mirror (Input 84) -} [1, 1, 2, 3, 4] -> [2, 1, 3, 3, 1, 4] {- Mirror (Input 85) -} [1, 0, 3, 3, 4] -> [1, 2, 0, 3, 3, 4] {- Mirror (Input 86) -} [1, 0, 4, 3, 4] -> [1, 2, 4, 0, 4, 3] {- Mirror (Input 87) -} [1, 0, 4, 3, 4] -> [3, 1, 2, 0, 4, 4] {- Mirror (Input 88) -} [1, 0, 5, 3, 4] -> [4, 1, 3, 2, 5, 0] {- Mirror (Input 89) -} [1, 0, 5, 3, 4] -> [4, 5, 2, 0, 3, 1] {- Mirror (Input 90) -} [1, 0, 5, 3, 4] -> [5, 2, 4, 0, 3, 1] {- Mirror (Input 91) -} [1, 0, 5, 3, 4] -> [2, 5, 0, 4, 3, 1] {- Mirror (Input 92) -} [1, 0, 5, 3, 4] -> [5, 2, 4, 0, 1, 3] {- Mirror (Input 93) -} [1, 0, 5, 3, 4] -> [2, 4, 0, 5, 1, 3] {- Mirror (Input 94) -} [1, 0, 5, 3, 4] -> [5, 1, 2, 0, 4, 3] {- Mirror (Input 95) -} [1, 0, 5, 3, 4] -> [2, 0, 5, 1, 4, 3] {- Mirror (Input 96) -} [1, 0, 5, 3, 4] -> [2, 4, 0, 1, 5, 3] {- Mirror (Input 97) -} [1, 0, 5, 3, 4] -> [5, 1, 2, 0, 3, 4] {- Mirror (Input 98) -} [1, 0, 5, 3, 4] -> [2, 0, 4, 3, 1, 5] {- Mirror (Input 99) -} [1, 1, 5, 3, 4] -> [3, 1, 2, 5, 4, 1] {- Mirror (Input 100) -} [1, 1, 5, 3, 4] -> [2, 4, 5, 1, 1, 3] {- Mirror (Input 101) -} [1, 1, 5, 3, 4] -> [1, 2, 5, 4, 1, 3] {- Mirror (Input 102) -} [1, 1, 5, 3, 4] -> [5, 3, 1, 3, 1, 4] {- Mirror (Input 103) -} [1, 1, 5, 3, 4] -> [3, 1, 2, 5, 1, 4] {- Mirror (Input 104) -} [1, 1, 5, 3, 4] -> [1, 2, 5, 1, 3, 4] {- Mirror (Input 105) -} [1, 0, 1, 4, 4] -> [1, 2, 0, 1, 4, 4] {- Mirror (Input 106) -} [1, 0, 3, 4, 4] -> [3, 1, 2, 4, 4, 0] {- Mirror (Input 107) -} [1, 0, 3, 4, 4] -> [4, 3, 1, 2, 0, 4] {- Mirror (Input 108) -} [1, 0, 3, 4, 4] -> [1, 2, 0, 4, 3, 4] {- Mirror (Input 109) -} [1, 0, 3, 4, 4] -> [1, 2, 0, 3, 4, 4] {- Mirror (Input 110) -} [1, 0, 1, 5, 4] -> [1, 4, 3, 1, 5, 0] {- Mirror (Input 111) -} [1, 0, 1, 5, 4] -> [1, 3, 1, 4, 5, 0] {- Mirror (Input 112) -} [1, 0, 1, 5, 4] -> [1, 2, 5, 4, 0, 1] {- Mirror (Input 113) -} [1, 0, 1, 5, 4] -> [1, 1, 2, 5, 0, 4] {- Mirror (Input 114) -} [1, 0, 1, 5, 4] -> [1, 2, 0, 1, 5, 4] {- Mirror (Input 115) -} [1, 0, 1, 5, 4] -> [1, 4, 2, 0, 1, 5] {- Mirror (Input 116) -} [1, 0, 1, 5, 4] -> [1, 2, 0, 1, 4, 5] {- Mirror (Input 117) -} [1, 1, 1, 5, 4] -> [1, 1, 1, 2, 5, 4] {- Mirror (Input 118) -} [1, 0, 3, 5, 4] -> [5, 4, 3, 1, 2, 0] {- Mirror (Input 119) -} [1, 0, 3, 5, 4] -> [4, 3, 1, 2, 5, 0] {- Mirror (Input 120) -} [1, 0, 3, 5, 4] -> [1, 3, 4, 2, 5, 0] {- Mirror (Input 121) -} [1, 0, 3, 5, 4] -> [3, 1, 2, 4, 5, 0] {- Mirror (Input 122) -} [1, 0, 3, 5, 4] -> [4, 3, 1, 5, 0, 1] {- Mirror (Input 123) -} [1, 0, 3, 5, 4] -> [4, 3, 3, 0, 5, 1] {- Mirror (Input 124) -} [1, 0, 3, 5, 4] -> [3, 0, 5, 4, 1, 2] {- Mirror (Input 125) -} [1, 0, 3, 5, 4] -> [0, 5, 3, 1, 4, 2] {- Mirror (Input 126) -} [1, 0, 3, 5, 4] -> [1, 2, 5, 4, 0, 3] {- Mirror (Input 127) -} [1, 0, 3, 5, 4] -> [2, 5, 1, 3, 0, 4] {- Mirror (Input 128) -} [1, 0, 3, 5, 4] -> [1, 5, 3, 3, 0, 4] {- Mirror (Input 129) -} [1, 0, 3, 5, 4] -> [3, 1, 4, 5, 0, 4] {- Mirror (Input 130) -} [1, 0, 3, 5, 4] -> [3, 0, 5, 3, 1, 4] {- Mirror (Input 131) -} [1, 0, 3, 5, 4] -> [0, 5, 5, 3, 1, 4] {- Mirror (Input 132) -} [1, 0, 3, 5, 4] -> [1, 3, 0, 5, 2, 4] {- Mirror (Input 133) -} [1, 0, 3, 5, 4] -> [1, 3, 0, 2, 5, 4] {- Mirror (Input 134) -} [1, 0, 3, 5, 4] -> [1, 4, 1, 3, 0, 5] {- Mirror (Input 135) -} [1, 0, 3, 5, 4] -> [1, 4, 4, 3, 0, 5] {- Mirror (Input 136) -} [1, 0, 3, 5, 4] -> [4, 3, 0, 3, 1, 5] {- Mirror (Input 137) -} [1, 0, 3, 5, 4] -> [0, 4, 3, 1, 2, 5] {- Mirror (Input 138) -} [1, 0, 3, 5, 4] -> [0, 3, 1, 4, 2, 5] {- Mirror (Input 139) -} [1, 0, 3, 5, 4] -> [1, 2, 4, 0, 3, 5] {- Mirror (Input 140) -} [1, 0, 3, 5, 4] -> [1, 0, 3, 1, 4, 5] {- Mirror (Input 141) -} [1, 0, 3, 5, 4] -> [0, 2, 3, 1, 4, 5] {- Mirror (Input 142) -} [1, 0, 3, 5, 4] -> [1, 2, 0, 3, 4, 5] {- Mirror (Input 143) -} [1, 1, 3, 5, 4] -> [5, 1, 3, 1, 4, 2] {- Mirror (Input 144) -} [1, 1, 3, 5, 4] -> [1, 3, 1, 2, 5, 4] {- Mirror (Input 145) -} [1, 1, 3, 5, 4] -> [2, 1, 4, 3, 1, 5] {- Mirror (Input 146) -} [1, 1, 3, 5, 4] -> [3, 1, 4, 1, 2, 5] {- Mirror (Input 147) -} [1, 1, 3, 5, 4] -> [1, 3, 1, 2, 4, 5] {- Mirror (Input 148) -} [1, 1, 5, 5, 4] -> [4, 1, 1, 2, 5, 5] {- Mirror (Input 149) -} [1, 1, 5, 5, 4] -> [1, 1, 4, 2, 5, 5] {- Mirror (Input 150) -} reason Matchbound Matchbound { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 2 certified by automaton with 2434 states ************************************************** skeleton: \Mirror(151,6)\Rfcmatchbound{2}[] ************************************************** let {} in let {trac ?= False;loop_cap = 1;match_cap = 2;tile_cap = 3;matrix_cap = 4;mo = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;done = Worker No_Strict_Rules;dont = \ p -> Fail;tiling = \ m w -> On tile_cap (weighted (And_Then (Worker (Tiling {method = m,width = w,map_type = Enum,max_num_tiles = Just 1000,max_num_rules = Just 100000})) (Worker Remap)));tile_roc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Overlap w)) <> [ Worker Unlabel];mb = \ size -> On match_cap (Apply (Worker (Matchbound {method = RFC,max_size = Just size})) done);mbs = \ size -> First_Of [ mb size, Apply (Worker Mirror) (mb size)];tile_rfc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Forward w)) <> ((for ws (\ w -> tiling Backward w)) <> [ Worker Unlabel]);solver = Minisatapi;qpi = \ dim bits -> On matrix_cap (weighted (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));qpis = Seq [ Timeout 10 (qpi 2 3), Timeout 30 (qpi 4 3), Timeout 50 (qpi 6 3), qpi 8 3];kbo = \ b -> On matrix_cap (weighted (Worker (KBO {bits = b,solver = solver})));matrix = \ dom dim bits -> On matrix_cap (weighted (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,encoding = Ersatz_Binary,tracing = trac,verbose = True,solver = solver})));arctics = Seq [ Timeout 10 (matrix Arctic 2 16), Timeout 30 (matrix Arctic 4 8), Timeout 50 (matrix Arctic 6 4), matrix Arctic 8 2];naturals = Seq [ Timeout 10 (matrix Natural 2 4), Timeout 30 (matrix Natural 4 3), Timeout 50 (matrix Natural 6 2), matrix Natural 8 1];remove = First_Of [ qpis, arctics, naturals, As_Transformer tile_roc];remove_wop = And_Then wop (Or_Else (As_Transformer (Worker No_Strict_Rules)) remove);deepee = Apply (And_Then (Worker DP) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = False,usable = True})) remove_wop));when_small = \ m -> Apply (Worker (SizeAtmost 1000)) m;yeah = First_Of [ when_small (First_Of [ deepee, Apply (Worker Mirror) deepee]), tile_rfc, mbs 100000];noh_for = \ side -> Worker (Simple (Config {closure = side,max_closure_width = Nothing,intermediates = All,priority = Linear [ ( 1, Log2 Steps), ( -1, Width_lhs), ( -2, Log2 Width_rhs)]}));noh = First_Of [ On loop_cap (noh_for Forward), On loop_cap (noh_for Backward), On loop_cap (Worker Transport)]} in Apply (Worker Remap) (Apply wop (Seq [ Worker KKST01, First_Of [ yeah, noh]])) ************************************************** statistics on proof search (nodes types that (together) took more than 1.000000000000) ************************************************** Success : Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} total number 1 max duration 16.279753902000 min duration 16.279753902000 total durat. 16.279753902000 Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 151 , num_strict_rules = 151 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 6 , total_length = 1604} , self = 16 , parent = Just 3 , duration = 16.279753902000 , status = Success , start = 2021-07-13 23:19:36.531966545 UTC , finish = 2021-07-13 23:19:52.811720447 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '3' , '8' ] , 2 , True )} Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} total number 1 max duration 16.279978510000 min duration 16.279978510000 total durat. 16.279978510000 Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 151 , num_strict_rules = 151 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 6 , total_length = 1604} , self = 18 , parent = Just 0 , duration = 16.279978510000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 23:19:36.531931268 UTC , finish = 2021-07-13 23:19:52.811909778 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '3' , '3' ] , 2 , True )} Success : Tiling { method = Backward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 1 max duration 4.087741022000 min duration 4.087741022000 total durat. 4.087741022000 Info { what = Tiling { method = Backward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} , input_size = Size { num_rules = 151 , num_strict_rules = 151 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 6 , total_length = 1604} , self = 10 , parent = Just 0 , duration = 4.087741022000 , status = Success , start = 2021-07-13 23:19:36.563759397 UTC , finish = 2021-07-13 23:19:40.651500419 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '7' , '8' ] , 3 , True )} Fail : Tiling { method = Backward , width = 4 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 1 max duration 5.628218724000 min duration 5.628218724000 total durat. 5.628218724000 Info { what = Tiling { method = Backward , width = 4 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} , input_size = Size { num_rules = 151 , num_strict_rules = 151 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 6 , total_length = 1604} , self = 14 , parent = Just 0 , duration = 5.628218724000 , status = Fail , start = 2021-07-13 23:19:36.561138979 UTC , finish = 2021-07-13 23:19:42.189357703 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '6' , '4' ] , 3 , True )} Fail : Tiling { method = Backward , width = 8 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 1 max duration 8.475580306000 min duration 8.475580306000 total durat. 8.475580306000 Info { what = Tiling { method = Backward , width = 8 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} , input_size = Size { num_rules = 151 , num_strict_rules = 151 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 6 , total_length = 1604} , self = 15 , parent = Just 0 , duration = 8.475580306000 , status = Fail , start = 2021-07-13 23:19:36.561080156 UTC , finish = 2021-07-13 23:19:45.036660462 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '6' , '0' ] , 3 , True )} Success : Tiling { method = Forward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 1 max duration 4.994705192000 min duration 4.994705192000 total durat. 4.994705192000 Info { what = Tiling { method = Forward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} , input_size = Size { num_rules = 151 , num_strict_rules = 151 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 6 , total_length = 1604} , self = 12 , parent = Just 0 , duration = 4.994705192000 , status = Success , start = 2021-07-13 23:19:36.563830628 UTC , finish = 2021-07-13 23:19:41.55853582 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '8' , '4' ] , 3 , True )} **************************************************