/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 9 rules on 3 letters tile all, by Config { method = Forward,width = 2,unlabel = True} SRS with 54 rules on 7 letters remove some, by Config { method = Backward,width = 4,unlabel = True} SRS with 18 rules on 7 letters remove some, by Config { method = Backward,width = 4,unlabel = True} SRS with 0 rules on 0 letters no strict rules ************************************************** proof ************************************************** property Termination has value Just True for SRS [0, 1, 2, 1] -> [1, 2, 1, 1, 0, 1, 2, 0, 1, 2] {- Input 0 -} [0, 1, 2, 1] -> [1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2] {- Input 1 -} [0, 1, 2, 1] -> [1, 2, 1, 1, 0, 1, 2, 0, 1, 2, 0, 1, 2, 0, 1, 2] {- Input 2 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 3 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 4 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 5 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 6 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 7 -} [0, 1, 2, 1] -> [ 1 , 2 , 1 , 1 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 , 0 , 1 , 2 ] {- Input 8 -} reason Tiling { method = Forward, width = 2, state_type = Bit64, 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} steps 1 using 9 tiles tile all rules steps: 1 property Termination has value Just True for SRS [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 0)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 0)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 0)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 0)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 0)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 0)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 3)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 3)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 3)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 3)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 4)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 4)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 4)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 4)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 4)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 4)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 5)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 5)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 5)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 5)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 5)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 5)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 6)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 6)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 6)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 6)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 6)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 6)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 7)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 7)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 7)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 7)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 7)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 7)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 0 (Input 8)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (Input 8)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 8)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 0]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 0 (Input 8)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 1]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (Input 8)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 8)) -} reason Tiling { method = Backward, width = 4, state_type = Bit64, 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} steps 3 using 30 tiles remove some unmatched rules steps: 3 property Termination has value Just True for SRS [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 0)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 0)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 4)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 4)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 5)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 5)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 6)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 6)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 7)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 7)) -} [[1, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [1, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (Input 8)) -} [[2, 0], [0, 1], [1, 2], [2, 1], [1, 2]] -> [ [2, 1] , [1, 2] , [2, 1] , [1, 1] , [1, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [2, 0] , [0, 1] , [1, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (Input 8)) -} reason Tiling { method = Backward, width = 4, state_type = Bit64, 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} steps 1 using 20 tiles remove some unmatched rules steps: 1 property Termination has value Just True for SRS reason no strict rules ************************************************** skeleton: (9,3)\TileAllRFC{2}(54,7)\TileRemoveRFCrev{4}(18,7)\TileRemoveRFCrev{4}(0,0)[] ************************************************** 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) ************************************************** 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 2 max duration 9.956342206000 min duration 9.953647849000 total durat. 19.909990055000 Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 9 , num_strict_rules = 9 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 234} , self = 113 , parent = Just 0 , duration = 9.953647849000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 17:40:53.191007731 UTC , finish = 2021-07-13 17:41:03.14465558 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '4' , '3' ] , 2 , True )} Info { what = Matchbound { method = RFC , max_size = Just 100000 , max_bound = Nothing , verbose = False , tracing = False} , input_size = Size { num_rules = 9 , num_strict_rules = 9 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 234} , self = 114 , parent = Just 4 , duration = 9.956342206000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 17:40:53.191037278 UTC , finish = 2021-07-13 17:41:03.147379484 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '4' , '5' ] , 2 , True )} Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} total number 1 max duration 6.599480501000 min duration 6.599480501000 total durat. 6.599480501000 Info { what = Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} , input_size = Size { num_rules = 12 , num_strict_rules = 3 , num_top_rules = 3 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 254} , self = 87 , parent = Just 14 , duration = 6.599480501000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 17:40:53.199539605 UTC , finish = 2021-07-13 17:40:59.799020106 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '0' , '1' ] , 0 , True )} Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 3 , encoding = Ersatz_Binary , dim = 4 , solver = Minisatapi , verbose = True , tracing = False} total number 1 max duration 5.048000506000 min duration 5.048000506000 total durat. 5.048000506000 Info { what = Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 3 , encoding = Ersatz_Binary , dim = 4 , solver = Minisatapi , verbose = True , tracing = False} , input_size = Size { num_rules = 12 , num_strict_rules = 3 , num_top_rules = 3 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 254} , self = 88 , parent = Just 14 , duration = 5.048000506000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 17:40:54.754363561 UTC , finish = 2021-07-13 17:40:59.802364067 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '1' , '2' ] , 0 , True )} Fail : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} total number 3 max duration 2.602051693000 min duration 1.554571203000 total durat. 6.331209459000 Info { what = Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} , input_size = Size { num_rules = 12 , num_strict_rules = 3 , num_top_rules = 3 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 254} , self = 51 , parent = Just 14 , duration = 1.554571203000 , status = Fail , start = 2021-07-13 17:40:53.19950424 UTC , finish = 2021-07-13 17:40:54.754075443 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '9' , '7' ] , 0 , True )} Info { what = Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} , input_size = Size { num_rules = 11 , num_strict_rules = 2 , num_top_rules = 2 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 247} , self = 94 , parent = Just 79 , duration = 2.174586563000 , status = Fail , start = 2021-07-13 17:40:59.441468599 UTC , finish = 2021-07-13 17:41:01.616055162 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '6' , '9' ] , 0 , True )} Info { what = Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} , input_size = Size { num_rules = 19 , num_strict_rules = 10 , num_top_rules = 10 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 439} , self = 56 , parent = Just 13 , duration = 2.602051693000 , status = Fail , start = 2021-07-13 17:40:53.199296258 UTC , finish = 2021-07-13 17:40:55.801347951 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '7' , '4' ] , 0 , True )} Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 3 max duration 1.491475064000 min duration 0.950265684000 total durat. 3.888665161000 Info { what = QPI { dim = 2 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 11 , num_strict_rules = 2 , num_top_rules = 2 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 247} , self = 89 , parent = Just 79 , duration = 1.446924413000 , status = Fail , start = 2021-07-13 17:40:59.441440512 UTC , finish = 2021-07-13 17:41:00.888364925 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '6' , '6' ] , 0 , True )} Info { what = QPI { dim = 2 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 19 , num_strict_rules = 10 , num_top_rules = 10 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 439} , self = 48 , parent = Just 13 , duration = 1.491475064000 , status = Fail , start = 2021-07-13 17:40:53.199238134 UTC , finish = 2021-07-13 17:40:54.690713198 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '7' , '1' ] , 0 , True )} Success : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 1 max duration 5.273861497000 min duration 5.273861497000 total durat. 5.273861497000 Info { what = QPI { dim = 4 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 12 , num_strict_rules = 3 , num_top_rules = 3 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 254} , self = 77 , parent = Just 14 , duration = 5.273861497000 , status = Success , start = 2021-07-13 17:40:54.150036175 UTC , finish = 2021-07-13 17:40:59.423897672 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '9' , '1' ] , 0 , 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 2.299148212000 min duration 0.336499574000 total durat. 2.635647786000 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 = 54 , num_strict_rules = 54 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 7 , total_length = 1512} , self = 57 , parent = Just 28 , duration = 2.299148212000 , status = Success , start = 2021-07-13 17:40:53.85256516 UTC , finish = 2021-07-13 17:40:56.151713372 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '8' , '6' ] , 3 , True )} Success : 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 3 max duration 2.704927857000 min duration 0.896080411000 total durat. 5.676065078000 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 = 9 , num_strict_rules = 9 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 234} , self = 54 , parent = Just 0 , duration = 2.075056810000 , status = Success , start = 2021-07-13 17:40:53.199760133 UTC , finish = 2021-07-13 17:40:55.274816943 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '1' , '1' ] , 3 , True )} 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 = 54 , num_strict_rules = 54 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 7 , total_length = 1512} , self = 98 , parent = Just 28 , duration = 2.704927857000 , status = Success , start = 2021-07-13 17:40:59.335019412 UTC , finish = 2021-07-13 17:41:02.039947269 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '4' , '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 2.636030346000 min duration 0.330371109000 total durat. 2.966401455000 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 = 54 , num_strict_rules = 54 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 7 , total_length = 1512} , self = 63 , parent = Just 28 , duration = 2.636030346000 , status = Success , start = 2021-07-13 17:40:53.758366322 UTC , finish = 2021-07-13 17:40:56.394396668 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '8' , '0' ] , 3 , True )} Success : 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 2 max duration 3.967454030000 min duration 2.025481871000 total durat. 5.992935901000 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 = 9 , num_strict_rules = 9 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 234} , self = 52 , parent = Just 0 , duration = 2.025481871000 , status = Success , start = 2021-07-13 17:40:53.201745284 UTC , finish = 2021-07-13 17:40:55.227227155 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '3' , '4' ] , 3 , True )} 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 = 54 , num_strict_rules = 54 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 7 , total_length = 1512} , self = 107 , parent = Just 28 , duration = 3.967454030000 , status = Success , start = 2021-07-13 17:40:59.149503795 UTC , finish = 2021-07-13 17:41:03.116957825 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '3' , '8' ] , 3 , True )} Success : 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 1 max duration 4.786273740000 min duration 4.786273740000 total durat. 4.786273740000 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 = 9 , num_strict_rules = 9 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 3 , total_length = 234} , self = 71 , parent = Just 0 , duration = 4.786273740000 , status = Success , start = 2021-07-13 17:40:53.199803841 UTC , finish = 2021-07-13 17:40:57.986077581 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '1' , '0' ] , 3 , True )} Success : Tiling { method = Overlap , 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 4 max duration 6.473020641000 min duration 0.772193017000 total durat. 10.220739580000 Info { what = Tiling { method = Overlap , 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 = 11 , num_strict_rules = 2 , num_top_rules = 2 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 247} , self = 92 , parent = Just 79 , duration = 2.022933452000 , status = Success , start = 2021-07-13 17:40:59.496493237 UTC , finish = 2021-07-13 17:41:01.519426689 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '7' , '7' ] , 3 , True )} Info { what = Tiling { method = Overlap , 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 = 84 , num_strict_rules = 30 , num_top_rules = 30 , num_weak_rules = 54 , alphabet_size = 9 , total_length = 2187} , self = 90 , parent = Just 38 , duration = 6.473020641000 , status = Success , start = 2021-07-13 17:40:54.620939775 UTC , finish = 2021-07-13 17:41:01.093960416 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '9' , '7' ] , 3 , True )} Success : Tiling { method = Overlap , 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 2 max duration 5.983970976000 min duration 4.320347439000 total durat. 10.304318415000 Info { what = Tiling { method = Overlap , 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 = 19 , num_strict_rules = 10 , num_top_rules = 10 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 439} , self = 67 , parent = Just 13 , duration = 4.320347439000 , status = Success , start = 2021-07-13 17:40:53.240133019 UTC , finish = 2021-07-13 17:40:57.560480458 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '6' , '6' ] , 3 , True )} Info { what = Tiling { method = Overlap , 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 = 12 , num_strict_rules = 3 , num_top_rules = 3 , num_weak_rules = 9 , alphabet_size = 4 , total_length = 254} , self = 75 , parent = Just 14 , duration = 5.983970976000 , status = Success , start = 2021-07-13 17:40:53.225225804 UTC , finish = 2021-07-13 17:40:59.20919678 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '5' , '0' ] , 3 , True )} Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} total number 1 max duration 4.178743913000 min duration 4.178743913000 total durat. 4.178743913000 Info { what = Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} , input_size = Size { num_rules = 385 , num_strict_rules = 70 , num_top_rules = 70 , num_weak_rules = 315 , alphabet_size = 27 , total_length = 11935} , self = 95 , parent = Just 68 , duration = 4.178743913000 , status = Success , start = 2021-07-13 17:40:57.560688248 UTC , finish = 2021-07-13 17:41:01.739432161 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '2' , '4' ] , 3 , False )} Fail : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} total number 18 max duration 1.229107300000 min duration 0.001015790000 total durat. 5.489770382000 Info { what = Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} , input_size = Size { num_rules = 252 , num_strict_rules = 252 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 21 , total_length = 8064} , self = 59 , parent = Just 53 , duration = 1.073691558000 , status = Fail , start = 2021-07-13 17:40:55.22739044 UTC , finish = 2021-07-13 17:40:56.301081998 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '1' , '5' ] , 3 , False )} Info { what = Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} , input_size = Size { num_rules = 252 , num_strict_rules = 252 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 21 , total_length = 8064} , self = 61 , parent = Just 55 , duration = 1.090809231000 , status = Fail , start = 2021-07-13 17:40:55.274972743 UTC , finish = 2021-07-13 17:40:56.365781974 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '1' , '6' ] , 3 , False )} Info { what = Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} , input_size = Size { num_rules = 252 , num_strict_rules = 252 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 7560} , self = 65 , parent = Just 58 , duration = 1.092501897000 , status = Fail , start = 2021-07-13 17:40:56.15188503 UTC , finish = 2021-07-13 17:40:57.244386927 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '2' , '0' ] , 3 , False )} Info { what = Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} , input_size = Size { num_rules = 252 , num_strict_rules = 252 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 15 , total_length = 7560} , self = 69 , parent = Just 64 , duration = 1.229107300000 , status = Fail , start = 2021-07-13 17:40:56.396787007 UTC , finish = 2021-07-13 17:40:57.625894307 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '2' , '1' ] , 3 , False )} **************************************************