/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 51 rules on 3 letters mirror SRS with 51 rules on 3 letters Matchbound { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 4406 states ************************************************** proof ************************************************** property Termination has value Just True for SRS [0, 0, 0, 0, 0, 1, 0, 2, 1, 2, 0, 0, 1] -> [ 0 , 0 , 0 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 2 , 0 , 0 , 0 , 0 , 2 , 2 ] {- Input 0 -} [0, 0, 1, 0, 0, 2, 0, 1, 0, 1, 2, 0, 0] -> [ 0 , 0 , 0 , 2 , 2 , 1 , 0 , 0 , 1 , 2 , 0 , 0 , 0 , 2 , 0 , 0 , 0 ] {- Input 1 -} [0, 0, 1, 1, 1, 0, 1, 1, 0, 1, 0, 0, 0] -> [ 0 , 1 , 0 , 0 , 0 , 1 , 0 , 1 , 2 , 2 , 2 , 0 , 0 , 0 , 0 , 2 , 0 ] {- Input 2 -} [0, 0, 1, 2, 1, 2, 0, 2, 0, 0, 2, 2, 2] -> [ 0 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 2 , 1 , 2 , 2 ] {- Input 3 -} [0, 0, 2, 0, 0, 0, 2, 1, 1, 2, 1, 0, 2] -> [ 0 , 1 , 0 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 1 , 0 , 0 , 2 ] {- Input 4 -} [0, 0, 2, 2, 1, 2, 0, 1, 2, 1, 2, 2, 0] -> [ 0 , 0 , 2 , 2 , 0 , 0 , 2 , 0 , 2 , 0 , 2 , 0 , 1 , 1 , 1 , 0 , 0 ] {- Input 5 -} [0, 0, 2, 2, 2, 2, 2, 1, 0, 0, 2, 2, 0] -> [ 2 , 0 , 0 , 0 , 2 , 0 , 2 , 0 , 1 , 0 , 0 , 0 , 0 , 1 , 2 , 2 , 0 ] {- Input 6 -} [0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 2, 0, 0] -> [ 0 , 2 , 2 , 0 , 2 , 2 , 0 , 0 , 2 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 ] {- Input 7 -} [0, 1, 0, 1, 2, 1, 2, 0, 0, 2, 1, 0, 2] -> [ 0 , 1 , 0 , 0 , 0 , 2 , 2 , 1 , 0 , 1 , 2 , 0 , 0 , 0 , 0 , 2 , 2 ] {- Input 8 -} [0, 1, 1, 0, 2, 1, 0, 1, 0, 0, 2, 2, 0] -> [ 0 , 0 , 2 , 0 , 2 , 1 , 0 , 0 , 0 , 0 , 2 , 1 , 2 , 2 , 1 , 0 , 0 ] {- Input 9 -} [0, 1, 1, 1, 2, 0, 0, 2, 0, 0, 1, 2, 0] -> [ 1 , 2 , 0 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 1 , 2 , 0 , 0 , 0 , 2 , 0 ] {- Input 10 -} [0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0] -> [ 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 2 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 0 ] {- Input 11 -} [0, 1, 2, 0, 0, 0, 0, 1, 0, 2, 0, 1, 0] -> [ 0 , 0 , 2 , 2 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 1 , 2 , 0 , 0 ] {- Input 12 -} [0, 1, 2, 0, 0, 0, 2, 1, 2, 0, 1, 2, 2] -> [ 0 , 2 , 0 , 0 , 0 , 0 , 2 , 1 , 0 , 0 , 0 , 2 , 0 , 1 , 0 , 2 , 2 ] {- Input 13 -} [0, 2, 0, 0, 0, 0, 2, 2, 1, 1, 2, 1, 0] -> [ 0 , 2 , 0 , 2 , 0 , 0 , 1 , 0 , 2 , 0 , 0 , 0 , 0 , 2 , 0 , 2 , 0 ] {- Input 14 -} [0, 2, 0, 0, 0, 2, 2, 0, 2, 1, 1, 2, 2] -> [ 0 , 0 , 0 , 0 , 2 , 2 , 1 , 2 , 0 , 1 , 0 , 0 , 2 , 0 , 0 , 0 , 2 ] {- Input 15 -} [0, 2, 0, 0, 1, 2, 0, 1, 1, 0, 1, 2, 0] -> [ 0 , 2 , 0 , 1 , 0 , 2 , 1 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 2 , 0 ] {- Input 16 -} [0, 2, 0, 1, 1, 1, 1, 0, 2, 2, 0, 0, 0] -> [ 0 , 0 , 0 , 0 , 0 , 2 , 1 , 1 , 1 , 1 , 2 , 1 , 0 , 0 , 0 , 0 , 0 ] {- Input 17 -} [0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0] -> [ 0 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 0 , 1 , 0 , 0 , 2 , 1 , 0 , 2 , 0 ] {- Input 18 -} [0, 2, 1, 1, 1, 0, 0, 2, 0, 2, 2, 2, 0] -> [ 0 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 1 , 1 , 1 , 2 , 1 , 2 , 0 ] {- Input 19 -} [0, 2, 1, 2, 0, 0, 0, 1, 1, 1, 0, 2, 1] -> [ 0 , 0 , 2 , 0 , 2 , 0 , 1 , 0 , 0 , 2 , 1 , 0 , 2 , 0 , 0 , 2 , 1 ] {- Input 20 -} [0, 2, 1, 2, 0, 0, 2, 0, 1, 2, 1, 2, 0] -> [ 0 , 2 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 2 , 0 , 2 , 1 , 2 , 0 ] {- Input 21 -} [0, 2, 1, 2, 2, 0, 1, 0, 0, 2, 2, 0, 0] -> [ 0 , 0 , 2 , 1 , 1 , 0 , 1 , 0 , 0 , 1 , 2 , 0 , 0 , 0 , 0 , 0 , 0 ] {- Input 22 -} [0, 2, 1, 2, 2, 1, 0, 0, 2, 1, 2, 2, 2] -> [ 0 , 0 , 0 , 0 , 1 , 2 , 2 , 2 , 2 , 2 , 1 , 0 , 0 , 1 , 0 , 0 , 2 ] {- Input 23 -} [0, 2, 2, 0, 0, 0, 1, 2, 2, 2, 2, 2, 0] -> [ 2 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 1 , 1 , 0 , 1 , 0 , 2 , 0 , 0 , 0 ] {- Input 24 -} [0, 2, 2, 0, 0, 0, 2, 2, 2, 0, 1, 2, 1] -> [ 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 2 , 2 , 0 , 0 , 1 ] {- Input 25 -} [0, 2, 2, 2, 2, 0, 0, 2, 0, 2, 2, 2, 0] -> [ 0 , 0 , 1 , 0 , 1 , 2 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 0 ] {- Input 26 -} [1, 0, 0, 2, 0, 2, 1, 0, 2, 1, 0, 2, 0] -> [ 1 , 0 , 1 , 1 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 2 , 0 , 0 , 0 , 2 , 0 ] {- Input 27 -} [1, 0, 1, 0, 0, 1, 0, 2, 2, 0, 1, 0, 0] -> [ 1 , 1 , 0 , 0 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 1 , 2 , 0 , 2 , 2 , 0 ] {- Input 28 -} [1, 0, 1, 0, 1, 0, 2, 0, 1, 0, 2, 0, 2] -> [ 1 , 0 , 0 , 1 , 1 , 2 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 2 , 0 , 2 , 2 ] {- Input 29 -} [1, 2, 1, 1, 0, 1, 0, 1, 1, 2, 0, 2, 0] -> [ 1 , 2 , 2 , 0 , 1 , 0 , 1 , 1 , 0 , 0 , 0 , 2 , 1 , 2 , 0 , 0 , 0 ] {- Input 30 -} [1, 2, 2, 1, 2, 0, 1, 0, 0, 2, 1, 2, 0] -> [ 1 , 2 , 1 , 0 , 0 , 0 , 2 , 2 , 0 , 2 , 0 , 2 , 1 , 0 , 0 , 2 , 0 ] {- Input 31 -} [2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 0, 0] -> [ 2 , 0 , 2 , 2 , 0 , 1 , 2 , 0 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 0 , 0 ] {- Input 32 -} [2, 0, 0, 1, 0, 2, 0, 1, 0, 0, 1, 2, 0] -> [ 2 , 1 , 0 , 0 , 1 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 0 ] {- Input 33 -} [2, 0, 0, 1, 2, 0, 2, 2, 0, 1, 1, 0, 0] -> [ 2 , 0 , 0 , 2 , 0 , 2 , 2 , 0 , 2 , 1 , 1 , 2 , 0 , 0 , 0 , 0 , 0 ] {- Input 34 -} [2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 0, 2, 2] -> [ 2 , 1 , 0 , 0 , 2 , 2 , 0 , 2 , 0 , 0 , 0 , 2 , 0 , 0 , 1 , 0 , 2 ] {- Input 35 -} [2, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 2] -> [ 2 , 0 , 2 , 1 , 0 , 0 , 1 , 0 , 0 , 0 , 2 , 0 , 0 , 0 , 1 , 0 , 2 ] {- Input 36 -} [2, 0, 2, 0, 0, 1, 1, 2, 2, 1, 2, 0, 0] -> [ 2 , 0 , 0 , 0 , 0 , 0 , 2 , 1 , 0 , 2 , 0 , 1 , 1 , 0 , 0 , 0 , 0 ] {- Input 37 -} [2, 0, 2, 0, 0, 2, 0, 2, 2, 2, 2, 1, 2] -> [ 2 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 1 , 2 , 0 , 2 , 2 , 2 ] {- Input 38 -} [2, 0, 2, 0, 2, 1, 0, 2, 1, 1, 0, 2, 2] -> [ 2 , 0 , 0 , 1 , 1 , 0 , 0 , 1 , 1 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 2 ] {- Input 39 -} [2, 0, 2, 0, 2, 2, 2, 0, 1, 1, 1, 2, 0] -> [ 1 , 2 , 1 , 2 , 0 , 2 , 0 , 2 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 0 ] {- Input 40 -} [2, 1, 0, 0, 0, 1, 1, 2, 1, 1, 2, 2, 2] -> [ 2 , 1 , 0 , 2 , 2 , 0 , 0 , 0 , 2 , 0 , 2 , 2 , 2 , 0 , 1 , 0 , 2 ] {- Input 41 -} [2, 1, 0, 2, 0, 1, 2, 0, 1, 1, 0, 0, 0] -> [ 2 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 2 , 0 , 1 , 0 , 0 ] {- Input 42 -} [2, 1, 1, 1, 1, 1, 0, 2, 0, 2, 2, 2, 0] -> [ 2 , 2 , 2 , 0 , 1 , 1 , 1 , 2 , 0 , 0 , 0 , 2 , 1 , 1 , 0 , 0 , 0 ] {- Input 43 -} [2, 1, 2, 0, 0, 2, 1, 2, 1, 2, 2, 0, 0] -> [ 2 , 1 , 2 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 0 , 1 , 2 , 1 , 0 , 0 ] {- Input 44 -} [2, 1, 2, 1, 0, 1, 2, 1, 2, 0, 0, 0, 0] -> [ 2 , 0 , 0 , 2 , 2 , 0 , 2 , 0 , 2 , 2 , 2 , 0 , 0 , 1 , 0 , 0 , 0 ] {- Input 45 -} [2, 1, 2, 2, 1, 0, 0, 1, 0, 1, 0, 2, 0] -> [ 2 , 2 , 0 , 1 , 0 , 1 , 1 , 2 , 0 , 1 , 0 , 2 , 0 , 0 , 0 , 0 , 0 ] {- Input 46 -} [2, 2, 0, 0, 1, 2, 2, 1, 1, 2, 1, 2, 0] -> [ 2 , 0 , 0 , 0 , 0 , 2 , 0 , 1 , 1 , 2 , 1 , 2 , 2 , 0 , 2 , 2 , 0 ] {- Input 47 -} [2, 2, 1, 1, 2, 2, 0, 1, 1, 1, 2, 0, 2] -> [ 2 , 0 , 0 , 0 , 2 , 0 , 2 , 2 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 2 , 2 ] {- Input 48 -} [2, 2, 1, 2, 2, 1, 1, 0, 1, 0, 2, 1, 2] -> [ 2 , 0 , 2 , 0 , 0 , 2 , 2 , 0 , 2 , 1 , 1 , 0 , 2 , 2 , 2 , 1 , 2 ] {- Input 49 -} [2, 2, 2, 0, 2, 1, 0, 1, 0, 0, 2, 1, 2] -> [ 2 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 2 , 2 , 0 , 1 , 2 , 2 , 2 , 0 , 2 ] {- Input 50 -} reason mirror property Termination has value Just True for SRS [1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 0, 0, 0] -> [ 2 , 2 , 0 , 0 , 0 , 0 , 2 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 0 , 0 ] {- Mirror (Input 0) -} [0, 0, 2, 1, 0, 1, 0, 2, 0, 0, 1, 0, 0] -> [ 0 , 0 , 0 , 2 , 0 , 0 , 0 , 2 , 1 , 0 , 0 , 1 , 2 , 2 , 0 , 0 , 0 ] {- Mirror (Input 1) -} [0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0] -> [ 0 , 2 , 0 , 0 , 0 , 0 , 2 , 2 , 2 , 1 , 0 , 1 , 0 , 0 , 0 , 1 , 0 ] {- Mirror (Input 2) -} [2, 2, 2, 0, 0, 2, 0, 2, 1, 2, 1, 0, 0] -> [ 2 , 2 , 1 , 2 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 0 , 0 , 0 , 0 , 0 ] {- Mirror (Input 3) -} [2, 0, 1, 2, 1, 1, 2, 0, 0, 0, 2, 0, 0] -> [ 2 , 0 , 0 , 1 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 0 , 1 , 0 ] {- Mirror (Input 4) -} [0, 2, 2, 1, 2, 1, 0, 2, 1, 2, 2, 0, 0] -> [ 0 , 0 , 1 , 1 , 1 , 0 , 2 , 0 , 2 , 0 , 2 , 0 , 0 , 2 , 2 , 0 , 0 ] {- Mirror (Input 5) -} [0, 2, 2, 0, 0, 1, 2, 2, 2, 2, 2, 0, 0] -> [ 0 , 2 , 2 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 2 ] {- Mirror (Input 6) -} [0, 0, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 0] -> [ 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 2 , 0 , 0 , 2 , 2 , 0 , 2 , 2 , 0 ] {- Mirror (Input 7) -} [2, 0, 1, 2, 0, 0, 2, 1, 2, 1, 0, 1, 0] -> [ 2 , 2 , 0 , 0 , 0 , 0 , 2 , 1 , 0 , 1 , 2 , 2 , 0 , 0 , 0 , 1 , 0 ] {- Mirror (Input 8) -} [0, 2, 2, 0, 0, 1, 0, 1, 2, 0, 1, 1, 0] -> [ 0 , 0 , 1 , 2 , 2 , 1 , 2 , 0 , 0 , 0 , 0 , 1 , 2 , 0 , 2 , 0 , 0 ] {- Mirror (Input 9) -} [0, 2, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 0] -> [ 0 , 2 , 0 , 0 , 0 , 2 , 1 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 2 , 1 ] {- Mirror (Input 10) -} [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0] -> [ 0 , 1 , 0 , 1 , 0 , 0 , 0 , 0 , 2 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 0 ] {- Mirror (Input 11) -} [0, 1, 0, 2, 0, 1, 0, 0, 0, 0, 2, 1, 0] -> [ 0 , 0 , 2 , 1 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 2 , 2 , 0 , 0 ] {- Mirror (Input 12) -} [2, 2, 1, 0, 2, 1, 2, 0, 0, 0, 2, 1, 0] -> [ 2 , 2 , 0 , 1 , 0 , 2 , 0 , 0 , 0 , 1 , 2 , 0 , 0 , 0 , 0 , 2 , 0 ] {- Mirror (Input 13) -} [0, 1, 2, 1, 1, 2, 2, 0, 0, 0, 0, 2, 0] -> [ 0 , 2 , 0 , 2 , 0 , 0 , 0 , 0 , 2 , 0 , 1 , 0 , 0 , 2 , 0 , 2 , 0 ] {- Mirror (Input 14) -} [2, 2, 1, 1, 2, 0, 2, 2, 0, 0, 0, 2, 0] -> [ 2 , 0 , 0 , 0 , 2 , 0 , 0 , 1 , 0 , 2 , 1 , 2 , 2 , 0 , 0 , 0 , 0 ] {- Mirror (Input 15) -} [0, 2, 1, 0, 1, 1, 0, 2, 1, 0, 0, 2, 0] -> [ 0 , 2 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 1 , 2 , 0 , 1 , 0 , 2 , 0 ] {- Mirror (Input 16) -} [0, 0, 0, 2, 2, 0, 1, 1, 1, 1, 0, 2, 0] -> [ 0 , 0 , 0 , 0 , 0 , 1 , 2 , 1 , 1 , 1 , 1 , 2 , 0 , 0 , 0 , 0 , 0 ] {- Mirror (Input 17) -} [0, 2, 1, 1, 0, 0, 2, 0, 0, 1, 1, 2, 0] -> [ 0 , 2 , 0 , 1 , 2 , 0 , 0 , 1 , 0 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 0 ] {- Mirror (Input 18) -} [0, 2, 2, 2, 0, 2, 0, 0, 1, 1, 1, 2, 0] -> [ 0 , 2 , 1 , 2 , 1 , 1 , 1 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ] {- Mirror (Input 19) -} [1, 2, 0, 1, 1, 1, 0, 0, 0, 2, 1, 2, 0] -> [ 1 , 2 , 0 , 0 , 2 , 0 , 1 , 2 , 0 , 0 , 1 , 0 , 2 , 0 , 2 , 0 , 0 ] {- Mirror (Input 20) -} [0, 2, 1, 2, 1, 0, 2, 0, 0, 2, 1, 2, 0] -> [ 0 , 2 , 1 , 2 , 0 , 2 , 1 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 0 ] {- Mirror (Input 21) -} [0, 0, 2, 2, 0, 0, 1, 0, 2, 2, 1, 2, 0] -> [ 0 , 0 , 0 , 0 , 0 , 0 , 2 , 1 , 0 , 0 , 1 , 0 , 1 , 1 , 2 , 0 , 0 ] {- Mirror (Input 22) -} [2, 2, 2, 1, 2, 0, 0, 1, 2, 2, 1, 2, 0] -> [ 2 , 0 , 0 , 1 , 0 , 0 , 1 , 2 , 2 , 2 , 2 , 2 , 1 , 0 , 0 , 0 , 0 ] {- Mirror (Input 23) -} [0, 2, 2, 2, 2, 2, 1, 0, 0, 0, 2, 2, 0] -> [ 0 , 0 , 0 , 2 , 0 , 1 , 0 , 1 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 2 ] {- Mirror (Input 24) -} [1, 2, 1, 0, 2, 2, 2, 0, 0, 0, 2, 2, 0] -> [ 1 , 0 , 0 , 2 , 2 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 0 ] {- Mirror (Input 25) -} [0, 2, 2, 2, 0, 2, 0, 0, 2, 2, 2, 2, 0] -> [ 0 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 0 , 2 , 0 , 2 , 1 , 0 , 1 , 0 , 0 ] {- Mirror (Input 26) -} [0, 2, 0, 1, 2, 0, 1, 2, 0, 2, 0, 0, 1] -> [ 0 , 2 , 0 , 0 , 0 , 2 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 1 , 1 , 0 , 1 ] {- Mirror (Input 27) -} [0, 0, 1, 0, 2, 2, 0, 1, 0, 0, 1, 0, 1] -> [ 0 , 2 , 2 , 0 , 2 , 1 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 0 , 1 , 1 ] {- Mirror (Input 28) -} [2, 0, 2, 0, 1, 0, 2, 0, 1, 0, 1, 0, 1] -> [ 2 , 2 , 0 , 2 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 2 , 1 , 1 , 0 , 0 , 1 ] {- Mirror (Input 29) -} [0, 2, 0, 2, 1, 1, 0, 1, 0, 1, 1, 2, 1] -> [ 0 , 0 , 0 , 2 , 1 , 2 , 0 , 0 , 0 , 1 , 1 , 0 , 1 , 0 , 2 , 2 , 1 ] {- Mirror (Input 30) -} [0, 2, 1, 2, 0, 0, 1, 0, 2, 1, 2, 2, 1] -> [ 0 , 2 , 0 , 0 , 1 , 2 , 0 , 2 , 0 , 2 , 2 , 0 , 0 , 0 , 1 , 2 , 1 ] {- Mirror (Input 31) -} [0, 0, 1, 1, 0, 0, 2, 1, 1, 0, 0, 0, 2] -> [ 0 , 0 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 0 , 2 , 1 , 0 , 2 , 2 , 0 , 2 ] {- Mirror (Input 32) -} [0, 2, 1, 0, 0, 1, 0, 2, 0, 1, 0, 0, 2] -> [ 0 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 1 , 1 , 0 , 0 , 1 , 2 ] {- Mirror (Input 33) -} [0, 0, 1, 1, 0, 2, 2, 0, 2, 1, 0, 0, 2] -> [ 0 , 0 , 0 , 0 , 0 , 2 , 1 , 1 , 2 , 0 , 2 , 2 , 0 , 2 , 0 , 0 , 2 ] {- Mirror (Input 34) -} [2, 2, 0, 1, 0, 2, 0, 2, 2, 0, 1, 0, 2] -> [ 2 , 0 , 1 , 0 , 0 , 2 , 0 , 0 , 0 , 2 , 0 , 2 , 2 , 0 , 0 , 1 , 2 ] {- Mirror (Input 35) -} [2, 0, 2, 0, 1, 0, 1, 2, 0, 2, 1, 0, 2] -> [ 2 , 0 , 1 , 0 , 0 , 0 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 1 , 2 , 0 , 2 ] {- Mirror (Input 36) -} [0, 0, 2, 1, 2, 2, 1, 1, 0, 0, 2, 0, 2] -> [ 0 , 0 , 0 , 0 , 1 , 1 , 0 , 2 , 0 , 1 , 2 , 0 , 0 , 0 , 0 , 0 , 2 ] {- Mirror (Input 37) -} [2, 1, 2, 2, 2, 2, 0, 2, 0, 0, 2, 0, 2] -> [ 2 , 2 , 2 , 0 , 2 , 1 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 0 , 0 , 2 ] {- Mirror (Input 38) -} [2, 2, 0, 1, 1, 2, 0, 1, 2, 0, 2, 0, 2] -> [ 2 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 1 , 1 , 0 , 0 , 1 , 1 , 0 , 0 , 2 ] {- Mirror (Input 39) -} [0, 2, 1, 1, 1, 0, 2, 2, 2, 0, 2, 0, 2] -> [ 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 2 , 2 , 0 , 2 , 0 , 2 , 1 , 2 , 1 ] {- Mirror (Input 40) -} [2, 2, 2, 1, 1, 2, 1, 1, 0, 0, 0, 1, 2] -> [ 2 , 0 , 1 , 0 , 2 , 2 , 2 , 0 , 2 , 0 , 0 , 0 , 2 , 2 , 0 , 1 , 2 ] {- Mirror (Input 41) -} [0, 0, 0, 1, 1, 0, 2, 1, 0, 2, 0, 1, 2] -> [ 0 , 0 , 1 , 0 , 2 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 2 ] {- Mirror (Input 42) -} [0, 2, 2, 2, 0, 2, 0, 1, 1, 1, 1, 1, 2] -> [ 0 , 0 , 0 , 1 , 1 , 2 , 0 , 0 , 0 , 2 , 1 , 1 , 1 , 0 , 2 , 2 , 2 ] {- Mirror (Input 43) -} [0, 0, 2, 2, 1, 2, 1, 2, 0, 0, 2, 1, 2] -> [ 0 , 0 , 1 , 2 , 1 , 0 , 0 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 2 , 1 , 2 ] {- Mirror (Input 44) -} [0, 0, 0, 0, 2, 1, 2, 1, 0, 1, 2, 1, 2] -> [ 0 , 0 , 0 , 1 , 0 , 0 , 2 , 2 , 2 , 0 , 2 , 0 , 2 , 2 , 0 , 0 , 2 ] {- Mirror (Input 45) -} [0, 2, 0, 1, 0, 1, 0, 0, 1, 2, 2, 1, 2] -> [ 0 , 0 , 0 , 0 , 0 , 2 , 0 , 1 , 0 , 2 , 1 , 1 , 0 , 1 , 0 , 2 , 2 ] {- Mirror (Input 46) -} [0, 2, 1, 2, 1, 1, 2, 2, 1, 0, 0, 2, 2] -> [ 0 , 2 , 2 , 0 , 2 , 2 , 1 , 2 , 1 , 1 , 0 , 2 , 0 , 0 , 0 , 0 , 2 ] {- Mirror (Input 47) -} [2, 0, 2, 1, 1, 1, 0, 2, 2, 1, 1, 2, 2] -> [ 2 , 2 , 2 , 1 , 0 , 2 , 1 , 0 , 1 , 2 , 2 , 0 , 2 , 0 , 0 , 0 , 2 ] {- Mirror (Input 48) -} [2, 1, 2, 0, 1, 0, 1, 1, 2, 2, 1, 2, 2] -> [ 2 , 1 , 2 , 2 , 2 , 0 , 1 , 1 , 2 , 0 , 2 , 2 , 0 , 0 , 2 , 0 , 2 ] {- Mirror (Input 49) -} [2, 1, 2, 0, 0, 1, 0, 1, 2, 0, 2, 2, 2] -> [ 2 , 0 , 2 , 2 , 2 , 1 , 0 , 2 , 2 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 2 ] {- Mirror (Input 50) -} reason Matchbound Matchbound { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 4406 states ************************************************** skeleton: \Mirror(51,3)\Rfcmatchbound{1}[] ************************************************** 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 42.785137319000 min duration 42.785137319000 total durat. 42.785137319000 Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 51 , num_strict_rules = 51 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 1530} , self = 30 , parent = Just 4 , duration = 42.785137319000 , status = Success , start = 2021-07-13 16:43:42.915798136 UTC , finish = 2021-07-13 16:44:25.700935455 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '4' , '1' ] , 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 42.786710534000 min duration 42.786710534000 total durat. 42.786710534000 Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 51 , num_strict_rules = 51 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 1530} , self = 32 , parent = Just 0 , duration = 42.786710534000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 16:43:42.915772778 UTC , finish = 2021-07-13 16:44:25.702483312 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '3' , '6' ] , 2 , True )} Fail : Tiling { method = Backward , width = 12 , 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 2 max duration 18.537972898000 min duration 0.424867882000 total durat. 18.962840780000 Info { what = Tiling { method = Backward , width = 12 , 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 = 51 , num_strict_rules = 51 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 1530} , self = 24 , parent = Just 0 , duration = 18.537972898000 , status = Fail , start = 2021-07-13 16:43:42.935097637 UTC , finish = 2021-07-13 16:44:01.473070535 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '7' , '2' ] , 3 , 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 2 max duration 25.400694565000 min duration 1.812400034000 total durat. 27.213094599000 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 = 51 , num_strict_rules = 51 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 1530} , self = 9 , parent = Just 0 , duration = 1.812400034000 , status = Success , start = 2021-07-13 16:43:42.938796982 UTC , finish = 2021-07-13 16:43:44.751197016 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '8' , '2' ] , 3 , True )} 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 = 796 , num_strict_rules = 796 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 25472} , self = 26 , parent = Just 11 , duration = 25.400694565000 , status = Success , start = 2021-07-13 16:43:45.883035274 UTC , finish = 2021-07-13 16:44:11.283729839 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '9' , '1' ] , 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 2 max duration 10.802344162000 min duration 0.505519751000 total durat. 11.307863913000 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 = 51 , num_strict_rules = 51 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 1530} , self = 22 , parent = Just 0 , duration = 10.802344162000 , status = Fail , start = 2021-07-13 16:43:42.935069385 UTC , finish = 2021-07-13 16:43:53.737413547 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '6' , '6' ] , 3 , True )} Fail : Tiling { method = Forward , width = 12 , 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 2 max duration 1.353219544000 min duration 0.882247109000 total durat. 2.235466653000 Info { what = Tiling { method = Forward , width = 12 , 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 = 51 , num_strict_rules = 51 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 1530} , self = 8 , parent = Just 0 , duration = 1.353219544000 , status = Fail , start = 2021-07-13 16:43:42.938780964 UTC , finish = 2021-07-13 16:43:44.292000508 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '8' , '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 2 max duration 35.001381258000 min duration 3.261106315000 total durat. 38.262487573000 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 = 51 , num_strict_rules = 51 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 1530} , self = 15 , parent = Just 0 , duration = 3.261106315000 , status = Success , start = 2021-07-13 16:43:42.928328033 UTC , finish = 2021-07-13 16:43:46.189434348 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '5' , '4' ] , 3 , True )} 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 = 796 , num_strict_rules = 796 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 25472} , self = 28 , parent = Just 11 , duration = 35.001381258000 , status = Success , start = 2021-07-13 16:43:46.487930196 UTC , finish = 2021-07-13 16:44:21.489311454 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '0' , '0' ] , 3 , True )} Fail : Tiling { method = Forward , 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 2 max duration 3.971767312000 min duration 0.657701182000 total durat. 4.629468494000 Info { what = Tiling { method = Forward , 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 = 51 , num_strict_rules = 51 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 1530} , self = 20 , parent = Just 0 , duration = 3.971767312000 , status = Fail , start = 2021-07-13 16:43:42.938814603 UTC , finish = 2021-07-13 16:43:46.910581915 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '8' , '4' ] , 3 , True )} **************************************************