/export/starexec/sandbox/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 70 rules on 3 letters Matchbound { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 9535 states ************************************************** proof ************************************************** property Termination has value Just True for SRS [0, 0, 0, 0, 0, 1, 2, 2, 2, 0, 1, 1, 0, 0, 1, 0, 0, 1, 2, 1, 2, 2, 0] -> [ 0 , 2 , 1 , 0 , 1 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 1 , 0 , 0 , 2 , 1 , 2 , 2 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 ] {- Input 0 -} [0, 0, 0, 0, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0, 2, 2, 0, 1, 0, 2, 0, 2, 2] -> [ 0 , 0 , 2 , 0 , 1 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 2 , 0 , 0 , 2 , 0 , 1 , 0 , 0 , 0 , 2 , 1 ] {- Input 1 -} [0, 0, 0, 0, 1, 2, 0, 2, 0, 0, 2, 0, 1, 1, 0, 2, 2, 2, 0, 0, 1, 1, 1] -> [ 0 , 1 , 0 , 0 , 2 , 1 , 0 , 2 , 0 , 1 , 1 , 0 , 0 , 1 , 1 , 1 , 2 , 0 , 1 , 0 , 1 , 0 , 2 , 0 , 0 , 1 , 1 ] {- Input 2 -} [0, 0, 0, 2, 0, 1, 2, 2, 0, 1, 0, 1, 1, 0, 2, 2, 2, 0, 1, 1, 0, 1, 0] -> [ 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 2 , 0 , 0 , 1 , 2 , 2 , 1 , 2 , 0 , 0 , 0 , 1 , 1 , 0 , 2 , 1 , 0 , 0 , 0 ] {- Input 3 -} [0, 0, 1, 0, 2, 1, 1, 1, 1, 0, 0, 1, 2, 2, 2, 0, 0, 0, 1, 0, 2, 0, 1] -> [ 0 , 1 , 1 , 2 , 0 , 1 , 0 , 1 , 1 , 1 , 1 , 0 , 0 , 0 , 0 , 1 , 2 , 0 , 1 , 0 , 1 , 0 , 1 , 2 , 0 , 1 , 1 ] {- Input 4 -} [0, 0, 1, 1, 2, 2, 0, 0, 2, 1, 1, 2, 0, 1, 0, 2, 0, 1, 0, 0, 2, 2, 0] -> [ 0 , 0 , 0 , 2 , 0 , 0 , 2 , 2 , 1 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 2 , 0 , 1 , 2 , 1 , 1 , 1 , 0 , 2 , 0 ] {- Input 5 -} [0, 0, 1, 2, 0, 0, 0, 2, 1, 1, 2, 0, 2, 1, 1, 2, 2, 0, 1, 1, 1, 0, 0] -> [ 0 , 1 , 1 , 0 , 2 , 2 , 1 , 0 , 1 , 0 , 2 , 0 , 1 , 2 , 2 , 2 , 2 , 0 , 1 , 2 , 0 , 2 , 0 , 1 , 0 , 0 , 0 ] {- Input 6 -} [0, 0, 1, 2, 2, 2, 2, 0, 0, 0, 0, 0, 0, 0, 2, 0, 2, 2, 1, 2, 0, 0, 0] -> [ 0 , 0 , 2 , 2 , 0 , 1 , 1 , 0 , 0 , 2 , 1 , 0 , 1 , 2 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 1 , 1 , 2 , 2 , 0 , 0 ] {- Input 7 -} [0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2, 1, 2, 1, 0, 0, 1, 0, 2, 1, 0, 0, 0] -> [ 0 , 1 , 2 , 2 , 0 , 2 , 2 , 0 , 0 , 2 , 0 , 2 , 1 , 0 , 2 , 1 , 0 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 1 , 1 , 0 ] {- Input 8 -} [0, 0, 2, 0, 2, 0, 1, 0, 2, 1, 0, 1, 0, 0, 2, 0, 0, 2, 1, 1, 1, 2, 2] -> [ 0 , 2 , 0 , 1 , 1 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 2 , 1 , 0 , 2 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 2 , 1 , 1 , 2 ] {- Input 9 -} [0, 0, 2, 1, 0, 0, 1, 1, 2, 2, 0, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 2, 1] -> [ 0 , 2 , 0 , 1 , 0 , 0 , 2 , 0 , 2 , 0 , 2 , 0 , 0 , 1 , 2 , 0 , 0 , 0 , 1 , 0 , 1 , 2 , 0 , 0 , 0 , 1 , 1 ] {- Input 10 -} [0, 1, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 1, 1, 0, 2, 2, 1, 0, 0, 0, 1, 2] -> [ 0 , 1 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 1 , 1 , 0 , 0 , 0 , 2 , 0 , 0 , 0 , 0 , 1 , 1 , 2 , 1 , 0 , 2 , 1 ] {- Input 11 -} [0, 1, 0, 0, 1, 0, 2, 2, 0, 0, 1, 1, 1, 2, 1, 1, 1, 2, 0, 0, 1, 1, 1] -> [ 0 , 0 , 2 , 1 , 0 , 0 , 0 , 0 , 2 , 0 , 1 , 0 , 2 , 1 , 2 , 2 , 0 , 2 , 2 , 2 , 0 , 1 , 0 , 2 , 0 , 0 , 1 ] {- Input 12 -} [0, 1, 0, 0, 2, 0, 2, 1, 1, 0, 2, 1, 0, 1, 2, 0, 0, 1, 1, 2, 0, 1, 2] -> [ 0 , 2 , 0 , 1 , 0 , 1 , 1 , 2 , 2 , 2 , 0 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 1 ] {- Input 13 -} [0, 1, 0, 0, 2, 1, 2, 0, 2, 1, 0, 1, 0, 2, 2, 1, 2, 1, 1, 0, 1, 1, 0] -> [ 0 , 0 , 1 , 2 , 0 , 0 , 1 , 2 , 1 , 2 , 2 , 0 , 0 , 0 , 2 , 0 , 1 , 0 , 1 , 0 , 2 , 2 , 2 , 0 , 0 , 2 , 0 ] {- Input 14 -} [0, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 2, 1, 2, 0, 1, 0, 0, 1, 1, 2, 2, 2] -> [ 0 , 0 , 1 , 0 , 2 , 0 , 0 , 1 , 1 , 0 , 1 , 0 , 2 , 1 , 1 , 0 , 1 , 1 , 0 , 2 , 0 , 1 , 0 , 0 , 1 , 2 , 1 ] {- Input 15 -} [0, 1, 0, 1, 1, 0, 0, 0, 0, 2, 1, 1, 2, 1, 0, 0, 2, 2, 1, 1, 0, 1, 0] -> [ 0 , 2 , 0 , 1 , 0 , 1 , 1 , 2 , 1 , 0 , 2 , 0 , 1 , 1 , 1 , 0 , 2 , 1 , 0 , 1 , 0 , 0 , 1 , 0 , 0 , 1 , 0 ] {- Input 16 -} [0, 1, 0, 2, 2, 0, 1, 1, 1, 1, 1, 0, 2, 2, 1, 1, 0, 0, 1, 0, 1, 0, 1] -> [ 0 , 0 , 2 , 0 , 2 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 1 , 2 , 0 , 2 , 0 , 0 , 1 , 0 , 1 , 1 , 1 ] {- Input 17 -} [0, 1, 1, 0, 0, 0, 2, 1, 2, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 0, 1, 0, 2] -> [ 0 , 0 , 1 , 0 , 2 , 0 , 1 , 2 , 0 , 2 , 0 , 1 , 0 , 1 , 0 , 2 , 2 , 2 , 1 , 2 , 0 , 1 , 0 , 0 , 0 , 0 , 2 ] {- Input 18 -} [0, 1, 1, 0, 2, 1, 0, 0, 1, 2, 0, 2, 1, 0, 1, 0, 2, 0, 1, 1, 0, 2, 1] -> [ 0 , 2 , 1 , 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 0 , 0 , 0 , 0 ] {- Input 19 -} [0, 1, 1, 1, 2, 0, 0, 2, 2, 1, 2, 0, 2, 1, 0, 2, 1, 0, 1, 2, 0, 1, 0] -> [ 0 , 1 , 0 , 0 , 2 , 0 , 2 , 2 , 2 , 2 , 0 , 1 , 1 , 0 , 1 , 0 , 0 , 1 , 2 , 1 , 0 , 0 , 2 , 1 , 2 , 1 , 0 ] {- Input 20 -} [0, 1, 1, 2, 0, 1, 0, 0, 0, 0, 1, 2, 2, 1, 2, 0, 1, 2, 0, 0, 2, 1, 0] -> [ 0 , 2 , 0 , 1 , 1 , 2 , 2 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 1 , 1 , 1 , 1 , 0 , 2 , 1 , 0 ] {- Input 21 -} [0, 1, 1, 2, 1, 1, 0, 0, 1, 2, 2, 0, 2, 0, 1, 0, 2, 1, 1, 0, 0, 1, 0] -> [ 0 , 0 , 1 , 0 , 1 , 1 , 2 , 1 , 1 , 0 , 0 , 0 , 2 , 0 , 0 , 1 , 0 , 2 , 1 , 2 , 0 , 2 , 0 , 2 , 0 , 1 , 0 ] {- Input 22 -} [0, 1, 2, 1, 1, 0, 0, 2, 0, 0, 0, 0, 1, 2, 1, 0, 0, 1, 1, 0, 1, 2, 0] -> [ 0 , 1 , 0 , 1 , 1 , 1 , 0 , 0 , 1 , 1 , 2 , 0 , 1 , 0 , 0 , 1 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 2 , 0 ] {- Input 23 -} [0, 1, 2, 1, 1, 2, 1, 1, 0, 2, 2, 2, 1, 0, 2, 2, 0, 0, 1, 1, 1, 0, 0] -> [ 0 , 0 , 1 , 0 , 1 , 0 , 1 , 1 , 1 , 2 , 2 , 2 , 0 , 0 , 0 , 2 , 0 , 0 , 2 , 1 , 1 , 1 , 1 , 1 , 2 , 1 , 0 ] {- Input 24 -} [0, 1, 2, 1, 2, 2, 1, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 2] -> [ 0 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 2 , 2 , 2 , 2 , 0 , 1 , 0 , 2 , 0 , 1 , 0 , 1 , 1 , 1 , 0 , 1 , 0 , 0 , 1 ] {- Input 25 -} [0, 1, 2, 2, 0, 0, 0, 0, 2, 1, 0, 0, 2, 1, 1, 2, 1, 2, 0, 0, 1, 0, 1] -> [ 0 , 0 , 2 , 1 , 0 , 0 , 0 , 1 , 0 , 1 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 0 , 1 , 1 ] {- Input 26 -} [0, 1, 2, 2, 1, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0, 2, 0, 0, 0, 2, 0, 2, 0] -> [ 0 , 2 , 0 , 1 , 2 , 0 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 2 , 0 , 0 , 1 , 0 , 1 , 0 , 0 , 0 , 0 , 2 , 2 , 2 , 0 ] {- Input 27 -} [0, 1, 2, 2, 1, 0, 1, 2, 1, 0, 1, 2, 0, 0, 2, 0, 2, 0, 1, 1, 1, 0, 0] -> [ 0 , 2 , 2 , 1 , 2 , 1 , 0 , 1 , 0 , 1 , 0 , 2 , 0 , 2 , 0 , 2 , 0 , 2 , 0 , 1 , 0 , 1 , 0 , 2 , 0 , 1 , 0 ] {- Input 28 -} [0, 1, 2, 2, 1, 0, 2, 2, 1, 2, 1, 2, 0, 0, 0, 0, 1, 2, 1, 2, 1, 2, 0] -> [ 0 , 2 , 2 , 0 , 1 , 0 , 0 , 2 , 2 , 2 , 2 , 2 , 2 , 0 , 2 , 2 , 0 , 2 , 0 , 0 , 2 , 1 , 0 , 2 , 1 , 0 , 0 ] {- Input 29 -} [0, 1, 2, 2, 1, 2, 0, 2, 2, 0, 1, 2, 0, 0, 1, 2, 2, 0, 1, 0, 0, 0, 0] -> [ 0 , 0 , 0 , 1 , 0 , 1 , 2 , 2 , 0 , 0 , 2 , 2 , 1 , 0 , 0 , 2 , 2 , 1 , 2 , 0 , 0 , 1 , 0 , 0 , 2 , 0 , 0 ] {- Input 30 -} [0, 2, 1, 1, 0, 1, 2, 1, 0, 0, 2, 0, 0, 1, 1, 2, 1, 0, 0, 0, 0, 2, 0] -> [ 0 , 0 , 2 , 1 , 1 , 2 , 0 , 1 , 1 , 0 , 1 , 0 , 1 , 0 , 1 , 1 , 1 , 0 , 0 , 2 , 1 , 1 , 1 , 0 , 0 , 1 , 0 ] {- Input 31 -} [0, 2, 2, 0, 2, 0, 0, 1, 2, 1, 1, 0, 0, 2, 0, 1, 2, 0, 0, 0, 2, 2, 0] -> [ 0 , 1 , 1 , 0 , 1 , 1 , 0 , 0 , 1 , 0 , 1 , 2 , 0 , 1 , 0 , 2 , 2 , 2 , 0 , 1 , 1 , 0 , 0 , 1 , 2 , 2 , 0 ] {- Input 32 -} [0, 2, 2, 1, 1, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1, 2, 1, 2, 2, 2, 2, 0, 0] -> [ 0 , 0 , 2 , 1 , 0 , 0 , 1 , 1 , 0 , 1 , 0 , 2 , 2 , 0 , 2 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 1 , 0 , 0 , 0 ] {- Input 33 -} [1, 0, 0, 0, 0, 1, 2, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2, 0, 0, 1, 1, 2, 2] -> [ 0 , 0 , 2 , 0 , 1 , 0 , 0 , 1 , 1 , 0 , 1 , 0 , 0 , 1 , 0 , 0 , 0 , 2 , 1 , 0 , 1 , 0 , 2 , 0 , 0 , 1 , 0 ] {- Input 34 -} [1, 0, 0, 1, 0, 1, 0, 1, 2, 0, 1, 1, 0, 0, 0, 0, 0, 2, 2, 2, 1, 0, 1] -> [ 0 , 2 , 0 , 2 , 0 , 0 , 1 , 0 , 1 , 0 , 1 , 0 , 2 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 2 , 0 , 1 , 0 ] {- Input 35 -} [1, 0, 0, 1, 0, 1, 2, 0, 2, 0, 2, 2, 2, 1, 0, 1, 0, 2, 0, 2, 0, 0, 0] -> [ 0 , 1 , 2 , 2 , 0 , 1 , 0 , 1 , 1 , 0 , 0 , 1 , 0 , 2 , 0 , 0 , 1 , 1 , 1 , 0 , 2 , 0 , 2 , 0 , 0 , 1 , 0 ] {- Input 36 -} [1, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 2, 1, 0, 2, 0, 0, 0, 1, 1, 1, 1] -> [ 2 , 1 , 0 , 1 , 0 , 0 , 0 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 0 ] {- Input 37 -} [1, 0, 1, 1, 1, 1, 0, 2, 2, 2, 0, 0, 1, 2, 0, 1, 0, 0, 2, 0, 0, 1, 0] -> [ 0 , 0 , 0 , 0 , 2 , 1 , 2 , 2 , 2 , 0 , 0 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 1 , 0 , 0 , 2 , 1 , 0 , 1 , 0 , 0 ] {- Input 38 -} [1, 0, 1, 2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 2, 0, 1, 2, 0, 2, 2, 2, 0, 0] -> [ 1 , 0 , 0 , 1 , 2 , 0 , 0 , 1 , 1 , 1 , 2 , 0 , 1 , 0 , 1 , 2 , 2 , 1 , 1 , 2 , 0 , 0 , 0 , 0 , 0 , 2 , 0 ] {- Input 39 -} [1, 0, 2, 0, 0, 0, 2, 1, 1, 0, 0, 1, 2, 1, 1, 1, 0, 2, 0, 0, 0, 0, 0] -> [ 0 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 2 , 0 , 0 , 2 , 0 , 2 , 0 , 1 , 0 , 2 , 0 , 2 , 2 , 1 , 1 , 0 , 1 , 1 , 0 ] {- Input 40 -} [1, 0, 2, 1, 0, 1, 1, 0, 0, 0, 1, 1, 0, 2, 0, 0, 1, 2, 0, 1, 2, 1, 0] -> [ 0 , 1 , 2 , 0 , 0 , 0 , 2 , 0 , 1 , 0 , 2 , 0 , 2 , 0 , 0 , 1 , 0 , 0 , 1 , 0 , 1 , 0 , 2 , 2 , 0 , 2 , 0 ] {- Input 41 -} [1, 1, 0, 0, 0, 0, 0, 0, 0, 2, 1, 0, 1, 1, 0, 0, 2, 2, 1, 1, 1, 1, 1] -> [ 0 , 1 , 0 , 2 , 0 , 1 , 1 , 0 , 1 , 0 , 0 , 0 , 2 , 1 , 0 , 0 , 0 , 1 , 0 , 1 , 0 , 1 , 2 , 2 , 1 , 0 , 0 ] {- Input 42 -} [1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 2, 0, 2, 0, 2, 2, 0, 2, 2, 1] -> [ 1 , 2 , 0 , 1 , 0 , 1 , 0 , 0 , 0 , 2 , 2 , 2 , 2 , 0 , 1 , 0 , 1 , 0 , 0 , 0 , 1 , 1 , 0 , 0 , 1 , 0 , 1 ] {- Input 43 -} [1, 1, 0, 0, 1, 0, 0, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2] -> [ 2 , 1 , 0 , 1 , 0 , 1 , 1 , 0 , 0 , 0 , 1 , 0 , 1 , 2 , 0 , 1 , 0 , 1 , 0 , 1 , 0 , 1 , 1 , 0 , 0 , 0 , 1 ] {- Input 44 -} [1, 1, 1, 2, 2, 0, 2, 1, 0, 0, 1, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0] -> [ 2 , 2 , 1 , 0 , 1 , 0 , 2 , 0 , 2 , 1 , 0 , 0 , 2 , 1 , 0 , 1 , 0 , 0 , 1 , 0 , 2 , 1 , 1 , 0 , 1 , 0 , 0 ] {- Input 45 -} [1, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 0, 1, 1, 0, 2, 0, 0, 1, 0, 0, 1, 2] -> [ 2 , 0 , 1 , 2 , 0 , 1 , 0 , 0 , 0 , 1 , 0 , 1 , 1 , 0 , 0 , 0 , 1 , 1 , 0 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 1 ] {- Input 46 -} [1, 2, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 2, 1, 0, 0, 1, 0, 0, 1] -> [ 0 , 1 , 0 , 0 , 2 , 0 , 0 , 1 , 2 , 2 , 0 , 0 , 0 , 1 , 1 , 0 , 1 , 1 , 0 , 0 , 0 , 1 , 2 , 0 , 0 , 1 , 0 ] {- Input 47 -} [1, 2, 1, 0, 0, 2, 2, 2, 0, 0, 1, 1, 0, 2, 0, 0, 2, 0, 0, 1, 0, 1, 0] -> [ 1 , 0 , 0 , 1 , 0 , 1 , 2 , 2 , 0 , 2 , 1 , 2 , 0 , 1 , 1 , 0 , 0 , 1 , 0 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 0 ] {- Input 48 -} [1, 2, 1, 0, 1, 0, 0, 0, 0, 1, 0, 2, 2, 1, 0, 0, 2, 2, 1, 2, 0, 0, 0] -> [ 2 , 1 , 0 , 0 , 2 , 0 , 0 , 1 , 2 , 0 , 1 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 1 , 0 , 0 , 0 , 1 , 0 ] {- Input 49 -} [1, 2, 2, 0, 2, 0, 0, 2, 0, 2, 2, 0, 1, 0, 0, 1, 2, 2, 1, 0, 2, 0, 0] -> [ 1 , 0 , 2 , 2 , 0 , 2 , 0 , 0 , 2 , 0 , 0 , 1 , 0 , 1 , 1 , 2 , 1 , 2 , 0 , 1 , 0 , 1 , 2 , 0 , 1 , 0 , 0 ] {- Input 50 -} [2, 0, 0, 1, 1, 0, 1, 1, 0, 0, 2, 2, 0, 0, 0, 1, 0, 0, 2, 1, 1, 2, 2] -> [ 0 , 2 , 0 , 2 , 1 , 0 , 0 , 1 , 1 , 1 , 0 , 1 , 0 , 0 , 1 , 0 , 0 , 2 , 0 , 0 , 1 , 0 , 0 , 1 , 2 , 2 , 2 ] {- Input 51 -} [2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 2, 1, 2, 0, 2, 2, 1, 1, 2, 0, 0] -> [ 2 , 1 , 0 , 2 , 0 , 2 , 2 , 2 , 1 , 1 , 0 , 0 , 1 , 1 , 2 , 0 , 1 , 0 , 0 , 0 , 1 , 2 , 0 , 1 , 0 , 1 , 0 ] {- Input 52 -} [2, 0, 0, 2, 1, 1, 1, 2, 0, 1, 0, 1, 2, 1, 1, 0, 1, 0, 0, 0, 1, 0, 0] -> [ 0 , 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 2 , 2 , 0 , 0 , 1 , 2 , 0 , 0 , 1 , 2 , 0 , 0 , 0 , 1 , 0 , 2 , 0 ] {- Input 53 -} [2, 0, 1, 1, 1, 0, 2, 0, 1, 0, 1, 1, 1, 0, 2, 0, 2, 0, 2, 0, 0, 0, 0] -> [ 0 , 0 , 0 , 2 , 1 , 1 , 0 , 1 , 1 , 0 , 2 , 0 , 2 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 2 , 0 , 0 , 0 , 0 , 2 , 0 ] {- Input 54 -} [2, 0, 1, 2, 2, 0, 0, 2, 1, 2, 0, 1, 1, 2, 0, 1, 0, 1, 1, 0, 1, 0, 0] -> [ 2 , 0 , 0 , 0 , 2 , 0 , 0 , 2 , 2 , 2 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 1 , 1 , 0 , 1 , 1 , 0 ] {- Input 55 -} [2, 1, 0, 0, 0, 0, 2, 0, 1, 2, 0, 2, 0, 1, 1, 0, 1, 1, 0, 0, 0, 1, 1] -> [ 0 , 1 , 0 , 0 , 0 , 2 , 2 , 1 , 1 , 0 , 0 , 0 , 1 , 0 , 1 , 1 , 0 , 0 , 1 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 0 ] {- Input 56 -} [2, 1, 2, 0, 0, 1, 0, 2, 0, 0, 1, 1, 1, 2, 1, 0, 1, 2, 0, 2, 0, 0, 0] -> [ 2 , 0 , 0 , 1 , 0 , 0 , 1 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 2 , 1 , 2 , 2 , 0 , 1 , 0 , 2 , 2 , 1 , 0 , 0 , 0 ] {- Input 57 -} [2, 2, 0, 0, 0, 2, 2, 1, 1, 1, 0, 1, 1, 0, 1, 0, 2, 0, 1, 1, 1, 0, 1] -> [ 0 , 1 , 2 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 1 , 2 , 2 , 0 , 1 , 0 , 1 , 1 , 1 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 1 ] {- Input 58 -} [2, 2, 0, 1, 0, 1, 0, 1, 0, 1, 1, 0, 2, 1, 1, 0, 0, 0, 0, 0, 1, 2, 1] -> [ 2 , 1 , 0 , 1 , 2 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 0 , 1 , 0 , 0 , 0 , 1 , 1 , 0 , 1 , 0 , 1 , 0 , 0 , 1 , 1 ] {- Input 59 -} [2, 2, 0, 1, 0, 2, 1, 1, 2, 0, 2, 0, 2, 2, 0, 0, 0, 1, 1, 0, 2, 0, 0] -> [ 0 , 0 , 0 , 2 , 1 , 2 , 1 , 0 , 1 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 1 , 1 , 0 , 0 , 1 , 2 , 0 , 2 , 0 , 2 , 0 ] {- Input 60 -} [2, 2, 0, 1, 0, 2, 2, 0, 2, 0, 1, 2, 0, 1, 2, 0, 1, 1, 2, 0, 1, 0, 0] -> [ 1 , 1 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 2 , 1 , 2 , 0 , 0 , 1 , 0 , 2 , 2 , 1 , 0 , 0 , 0 , 1 , 1 , 2 , 0 , 0 ] {- Input 61 -} [2, 2, 0, 2, 0, 0, 0, 1, 2, 0, 0, 2, 2, 2, 0, 0, 1, 0, 1, 0, 2, 2, 0] -> [ 2 , 1 , 0 , 1 , 2 , 2 , 0 , 1 , 2 , 0 , 1 , 0 , 0 , 0 , 2 , 2 , 0 , 0 , 1 , 0 , 1 , 0 , 0 , 0 , 2 , 0 , 0 ] {- Input 62 -} [2, 2, 0, 2, 1, 0, 0, 1, 1, 0, 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 1, 2, 0] -> [ 1 , 2 , 0 , 2 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 0 , 0 , 2 , 2 , 2 , 0 , 0 , 1 , 2 , 0 , 2 , 0 , 2 , 2 , 0 , 0 ] {- Input 63 -} [2, 2, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 2, 0, 2, 2, 0, 2, 2, 1, 0, 0] -> [ 1 , 1 , 1 , 0 , 1 , 0 , 2 , 2 , 1 , 2 , 0 , 0 , 0 , 2 , 1 , 0 , 1 , 0 , 0 , 1 , 0 , 0 , 2 , 0 , 1 , 0 , 0 ] {- Input 64 -} [2, 2, 1, 0, 1, 2, 0, 1, 0, 1, 0, 2, 2, 0, 0, 1, 0, 2, 1, 2, 2, 0, 0] -> [ 0 , 1 , 0 , 0 , 2 , 1 , 0 , 0 , 1 , 2 , 1 , 0 , 0 , 0 , 2 , 1 , 0 , 0 , 1 , 0 , 1 , 0 , 0 , 2 , 0 , 1 , 0 ] {- Input 65 -} [2, 2, 1, 1, 0, 0, 1, 1, 0, 1, 2, 1, 0, 1, 1, 1, 0, 1, 0, 1, 0, 0, 0] -> [ 2 , 0 , 0 , 0 , 0 , 1 , 0 , 1 , 0 , 0 , 0 , 1 , 0 , 1 , 0 , 0 , 1 , 0 , 2 , 1 , 2 , 1 , 1 , 0 , 1 , 1 , 0 ] {- Input 66 -} [2, 2, 1, 2, 1, 0, 1, 2, 0, 0, 0, 2, 0, 0, 1, 0, 2, 1, 0, 1, 0, 1, 0] -> [ 2 , 2 , 1 , 2 , 1 , 0 , 1 , 0 , 2 , 1 , 0 , 0 , 0 , 0 , 0 , 1 , 0 , 0 , 1 , 0 , 2 , 1 , 0 , 1 , 0 , 0 , 0 ] {- Input 67 -} [2, 2, 2, 0, 1, 2, 2, 2, 0, 1, 0, 1, 0, 0, 2, 0, 0, 1, 0, 0, 0, 2, 1] -> [ 0 , 0 , 1 , 0 , 0 , 2 , 0 , 2 , 0 , 0 , 1 , 0 , 1 , 0 , 2 , 0 , 1 , 0 , 1 , 0 , 0 , 1 , 2 , 1 , 1 , 1 , 2 ] {- Input 68 -} [2, 2, 2, 2, 1, 1, 0, 2, 0, 0, 1, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 1] -> [ 1 , 1 , 0 , 1 , 0 , 1 , 2 , 2 , 2 , 0 , 1 , 0 , 2 , 0 , 0 , 0 , 1 , 1 , 1 , 0 , 0 , 0 , 1 , 0 , 2 , 0 , 0 ] {- Input 69 -} reason Matchbound Matchbound { method = RFC, max_size = Just 100000, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 9535 states ************************************************** skeleton: (70,3)\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 186.265409411000 min duration 186.265409411000 total durat. 186.265409411000 Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 70 , num_strict_rules = 70 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 3500} , self = 32 , parent = Just 0 , duration = 186.265409411000 , status = Success , start = 2021-07-13 16:21:30.213202614 UTC , finish = 2021-07-13 16:24:36.478612025 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '4' , '1' ] , 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 1.631608973000 min duration 0.097026359000 total durat. 1.728635332000 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 = 1029 , num_strict_rules = 1029 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 53508} , self = 23 , parent = Just 14 , duration = 1.631608973000 , status = Fail , start = 2021-07-13 16:21:34.502617381 UTC , finish = 2021-07-13 16:21:36.134226354 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '0' , '7' ] , 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 42.520049780000 min duration 2.085486822000 total durat. 44.605536602000 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 = 70 , num_strict_rules = 70 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 3500} , self = 12 , parent = Just 0 , duration = 2.085486822000 , status = Success , start = 2021-07-13 16:21:30.256900008 UTC , finish = 2021-07-13 16:21:32.34238683 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '8' , '4' ] , 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 = 1029 , num_strict_rules = 1029 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 53508} , self = 27 , parent = Just 14 , duration = 42.520049780000 , status = Success , start = 2021-07-13 16:21:33.864452489 UTC , finish = 2021-07-13 16:22:16.384502269 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '8' , '9' ] , 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 16.918193385000 min duration 16.918193385000 total durat. 16.918193385000 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 = 70 , num_strict_rules = 70 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 3500} , self = 26 , parent = Just 0 , duration = 16.918193385000 , status = Fail , start = 2021-07-13 16:21:30.253614219 UTC , finish = 2021-07-13 16:21:47.171807604 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '6' , '6' ] , 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 1.592776971000 min duration 0.095047918000 total durat. 1.687824889000 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 = 1029 , num_strict_rules = 1029 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 53508} , self = 22 , parent = Just 14 , duration = 1.592776971000 , status = Fail , start = 2021-07-13 16:21:34.501311629 UTC , finish = 2021-07-13 16:21:36.0940886 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '0' , '3' ] , 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 1.736025491000 min duration 0.098994986000 total durat. 1.835020477000 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 = 1029 , num_strict_rules = 1029 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 53508} , self = 19 , parent = Just 14 , duration = 1.736025491000 , status = Fail , start = 2021-07-13 16:21:33.869926111 UTC , finish = 2021-07-13 16:21:35.605951602 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '9' , '3' ] , 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 72.453882928000 min duration 5.361296610000 total durat. 77.815179538000 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 = 70 , num_strict_rules = 70 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 3500} , self = 20 , parent = Just 0 , duration = 5.361296610000 , status = Success , start = 2021-07-13 16:21:30.252422015 UTC , finish = 2021-07-13 16:21:35.613718625 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '5' , '6' ] , 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 = 1029 , num_strict_rules = 1029 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 53508} , self = 29 , parent = Just 14 , duration = 72.453882928000 , status = Success , start = 2021-07-13 16:21:36.486310607 UTC , finish = 2021-07-13 16:22:48.940193535 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '1' , '1' ] , 3 , True )} Fail : Tiling { method = Forward , 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 110.521124346000 min duration 110.521124346000 total durat. 110.521124346000 Info { what = Tiling { method = Forward , 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 = 70 , num_strict_rules = 70 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 3500} , self = 31 , parent = Just 0 , duration = 110.521124346000 , status = Fail , start = 2021-07-13 16:21:30.256860625 UTC , finish = 2021-07-13 16:23:20.777984971 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '7' , '4' ] , 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 1.660280530000 min duration 0.097676465000 total durat. 1.757956995000 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 = 1029 , num_strict_rules = 1029 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 53508} , self = 18 , parent = Just 14 , duration = 1.660280530000 , status = Fail , start = 2021-07-13 16:21:33.869956291 UTC , finish = 2021-07-13 16:21:35.530236821 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '9' , '7' ] , 3 , True )} Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} total number 2 max duration 0.712739532000 min duration 0.550470759000 total durat. 1.263210291000 **************************************************