/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 4 rules on 2 letters tile all, by Config { method = Backward,width = 2,unlabel = True} SRS with 36 rules on 8 letters weights SRS with 16 rules on 7 letters tile all, by Config { method = Backward,width = 2,unlabel = True} SRS with 140 rules on 23 letters weights SRS with 99 rules on 22 letters unlabel SRS with 13 rules on 7 letters unlabel SRS with 3 rules on 2 letters remove some, by Config { method = Forward,width = 4,unlabel = True} SRS with 2 rules on 2 letters remove some, by Config { method = Backward,width = 8,unlabel = True} SRS with 1 rules on 2 letters weights SRS with 0 rules on 0 letters no strict rules ************************************************** proof ************************************************** property Termination has value Just True for SRS [a, a, a, b] -> [b, a, b, a] {- Input 0 -} [a, a, b, b] -> [a, a, a, b] {- Input 1 -} [a, a, a, b] -> [b, b, a, b] {- Input 2 -} [b, b, b, a] -> [b, a, b, b] {- Input 3 -} reason Tiling { method = Backward, 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 0 using 8 tiles tile all rules steps: 0 property Termination has value Just True for SRS [[<, a], [a, a], [a, a], [a, b], [b, >]] -> [ [<, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 0)) -} [[<, a], [a, a], [a, a], [a, b], [b, a]] -> [ [<, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 0)) -} [[<, a], [a, a], [a, a], [a, b], [b, b]] -> [ [<, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Input 0)) -} [[a, a], [a, a], [a, a], [a, b], [b, >]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -} [[a, a], [a, a], [a, a], [a, b], [b, a]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 0)) -} [[a, a], [a, a], [a, a], [a, b], [b, b]] -> [ [a, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Input 0)) -} [[b, a], [a, a], [a, a], [a, b], [b, >]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 0)) -} [[b, a], [a, a], [a, a], [a, b], [b, a]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[b, a], [a, a], [a, a], [a, b], [b, b]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 0)) -} [[<, a], [a, a], [a, b], [b, b], [b, >]] -> [ [<, a] , [a, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, a], [a, a], [a, b], [b, b], [b, a]] -> [ [<, a] , [a, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, a], [a, a], [a, b], [b, b], [b, b]] -> [ [<, a] , [a, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[a, a], [a, a], [a, b], [b, b], [b, >]] -> [ [a, a] , [a, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[a, a], [a, a], [a, b], [b, b], [b, a]] -> [ [a, a] , [a, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[a, a], [a, a], [a, b], [b, b], [b, b]] -> [ [a, a] , [a, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[b, a], [a, a], [a, b], [b, b], [b, >]] -> [ [b, a] , [a, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[b, a], [a, a], [a, b], [b, b], [b, a]] -> [ [b, a] , [a, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[b, a], [a, a], [a, b], [b, b], [b, b]] -> [ [b, a] , [a, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[<, a], [a, a], [a, a], [a, b], [b, >]] -> [ [<, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, a], [a, a], [a, a], [a, b], [b, a]] -> [ [<, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[<, a], [a, a], [a, a], [a, b], [b, b]] -> [ [<, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[a, a], [a, a], [a, a], [a, b], [b, >]] -> [ [a, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[a, a], [a, a], [a, a], [a, b], [b, a]] -> [ [a, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[a, a], [a, a], [a, a], [a, b], [b, b]] -> [ [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[b, a], [a, a], [a, a], [a, b], [b, >]] -> [ [b, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[b, a], [a, a], [a, a], [a, b], [b, a]] -> [ [b, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[b, a], [a, a], [a, a], [a, b], [b, b]] -> [ [b, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[<, b], [b, b], [b, b], [b, a], [a, >]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 3)) -} [[<, b], [b, b], [b, b], [b, a], [a, a]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Input 3)) -} [[<, b], [b, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[a, b], [b, b], [b, b], [b, a], [a, >]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 3)) -} [[a, b], [b, b], [b, b], [b, a], [a, a]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Input 3)) -} [[a, b], [b, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[b, b], [b, b], [b, b], [b, a], [a, >]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 3)) -} [[b, b], [b, b], [b, b], [b, a], [a, a]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 3)) -} [[b, b], [b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 3)) -} reason ([<, a], 1/1) ([a, a], 1/1) ([b, >], 1/1) ([a, >], 1/1) ([b, b], 1/1) property Termination has value Just True for SRS [[b, a], [a, a], [a, a], [a, b], [b, a]] -> [ [b, b] , [b, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[<, a], [a, a], [a, b], [b, b], [b, >]] -> [ [<, a] , [a, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, a], [a, a], [a, b], [b, b], [b, a]] -> [ [<, a] , [a, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, a], [a, a], [a, b], [b, b], [b, b]] -> [ [<, a] , [a, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[a, a], [a, a], [a, b], [b, b], [b, >]] -> [ [a, a] , [a, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[a, a], [a, a], [a, b], [b, b], [b, a]] -> [ [a, a] , [a, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[a, a], [a, a], [a, b], [b, b], [b, b]] -> [ [a, a] , [a, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[b, a], [a, a], [a, b], [b, b], [b, >]] -> [ [b, a] , [a, a] , [a, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[b, a], [a, a], [a, b], [b, b], [b, a]] -> [ [b, a] , [a, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[b, a], [a, a], [a, b], [b, b], [b, b]] -> [ [b, a] , [a, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[b, a], [a, a], [a, a], [a, b], [b, >]] -> [ [b, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[b, a], [a, a], [a, a], [a, b], [b, a]] -> [ [b, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[b, a], [a, a], [a, a], [a, b], [b, b]] -> [ [b, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[<, b], [b, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[a, b], [b, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[b, b], [b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 3)) -} reason Tiling { method = Backward, 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 23 tiles tile all rules steps: 1 property Termination has value Just True for SRS [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 0)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 0)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 1 (Input 0)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 0 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 1 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 1 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 0 (Concon 2 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 0 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 0 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 0 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 0 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 3 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 3 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 3 (Semlab 1 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 0 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 0 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 0 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 3 (Semlab 2 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [[b, >], >] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [[b, >], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [[b, >], >] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [[b, >], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 2)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 1 (Input 2)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], >] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], >] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 3 (Semlab 2 (Concon 2 (Input 2)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [<, [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} reason ([<, [b, a]], 4/1) ([[b, a], [a, a]], 8/1) ([[a, a], [a, b]], 12/1) ([[b, a], >], 4/1) property Termination has value Just True for SRS [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 1 (Input 0)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 0 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 1 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 1 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Input 1)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 0 (Concon 2 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 0 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 0 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 0 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 0 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 3 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 3 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 3 (Semlab 1 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 0 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 0 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 0 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[<, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 2 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 3 (Semlab 2 (Concon 2 (Input 1)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [<, b]] , [[<, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [<, [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, >]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} reason unlabel property Termination has value Just True for SRS [0, 1, 1, 2, 0] -> [3, 0, 2, 0, 1] {- Semlab 2 (Concon 1 (Input 0)) -} [4, 1, 2, 3, 5] -> [4, 1, 1, 2, 5] {- Semlab 0 (Concon 0 (Input 1)) -} [4, 1, 2, 3, 0] -> [4, 1, 1, 2, 0] {- Semlab 0 (Concon 1 (Input 1)) -} [4, 1, 2, 3, 3] -> [4, 1, 1, 2, 3] {- Semlab 0 (Concon 2 (Input 1)) -} [1, 1, 2, 3, 5] -> [1, 1, 1, 2, 5] {- Semlab 1 (Concon 0 (Input 1)) -} [1, 1, 2, 3, 0] -> [1, 1, 1, 2, 0] {- Semlab 1 (Concon 1 (Input 1)) -} [1, 1, 2, 3, 3] -> [1, 1, 1, 2, 3] {- Semlab 1 (Concon 2 (Input 1)) -} [0, 1, 2, 3, 5] -> [0, 1, 1, 2, 5] {- Semlab 2 (Concon 0 (Input 1)) -} [0, 1, 2, 3, 0] -> [0, 1, 1, 2, 0] {- Semlab 2 (Concon 1 (Input 1)) -} [0, 1, 2, 3, 3] -> [0, 1, 1, 2, 3] {- Semlab 2 (Concon 2 (Input 1)) -} [6, 3, 3, 0, 2] -> [6, 0, 2, 3, 3] {- Semlab 0 (Concon 2 (Input 3)) -} [2, 3, 3, 0, 2] -> [2, 0, 2, 3, 3] {- Semlab 1 (Concon 2 (Input 3)) -} [3, 3, 3, 0, 2] -> [3, 0, 2, 3, 3] {- Semlab 2 (Concon 2 (Input 3)) -} reason unlabel property Termination has value Just True for SRS [0, 0, 0, 1] -> [1, 0, 1, 0] {- Input 0 -} [0, 0, 1, 1] -> [0, 0, 0, 1] {- Input 1 -} [1, 1, 1, 0] -> [1, 0, 1, 1] {- Input 3 -} reason Tiling { method = Forward, 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 28 tiles remove some unmatched rules steps: 3 property Termination has value Just True for SRS [0, 0, 0, 1] -> [1, 0, 1, 0] {- Input 0 -} [0, 0, 1, 1] -> [0, 0, 0, 1] {- Input 1 -} reason Tiling { method = Backward, width = 8, 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 2 using 26 tiles remove some unmatched rules steps: 2 property Termination has value Just True for SRS [0, 0, 0, 1] -> [1, 0, 1, 0] {- Input 0 -} reason (0, 1/1) property Termination has value Just True for SRS reason no strict rules ************************************************** skeleton: (4,2)\TileAllRFCrev{2}(36,8)\Weight(16,7)\TileAllRFCrev{2}(140,23)\Weight(99,22)\Unlabel(13,7)\Unlabel(3,2)\TileRemoveRFC{4}(2,2)\TileRemoveRFCrev{8}(1,2)\Weight(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' ] : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False} total number 3 max duration 2.105430538000 min duration 0.824880352000 total durat. 4.208306214000 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 = 6 , num_strict_rules = 2 , num_top_rules = 2 , num_weak_rules = 4 , alphabet_size = 3 , total_length = 48} , self = 120 , parent = Just 60 , duration = 1.277995324000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 23:38:59.14242235 UTC , finish = 2021-07-13 23:39:00.420417674 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '5' , '4' ] , 0 , True )} 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 = 5 , num_strict_rules = 1 , num_top_rules = 1 , num_weak_rules = 4 , alphabet_size = 3 , total_length = 40} , self = 121 , parent = Just 14 , duration = 2.105430538000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 23:38:58.315015501 UTC , finish = 2021-07-13 23:39:00.420446039 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '2' , '5' ] , 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 2 max duration 0.851194376000 min duration 0.548113285000 total durat. 1.399307661000 Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 2 max duration 0.765254639000 min duration 0.494351768000 total durat. 1.259606407000 Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 2 max duration 1.609348049000 min duration 0.512452663000 total durat. 2.121800712000 Info { what = QPI { dim = 4 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 5 , num_strict_rules = 1 , num_top_rules = 1 , num_weak_rules = 4 , alphabet_size = 3 , total_length = 40} , self = 119 , parent = Just 14 , duration = 1.609348049000 , status = Fail , start = 2021-07-13 23:38:58.810942292 UTC , finish = 2021-07-13 23:39:00.420290341 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '1' , '9' , '9' ] , 0 , True )} Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] : Simple (Config { tracing = False , verbose = False , closure = Forward , max_closure_length = Nothing , max_closure_width = Nothing , intermediates = All , priority = (Linear [ (1, Log2 Steps) , (-1, Width_lhs) , (-2, Log2 Width_rhs) ])}) total number 1 max duration 2.109029148000 min duration 2.109029148000 total durat. 2.109029148000 Info { what = Simple (Config { tracing = False , verbose = False , closure = Forward , max_closure_length = Nothing , max_closure_width = Nothing , intermediates = All , priority = (Linear [ (1, Log2 Steps) , (-1, Width_lhs) , (-2, Log2 Width_rhs) ])}) , input_size = Size { num_rules = 4 , num_strict_rules = 4 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 2 , total_length = 32} , self = 122 , parent = Just 0 , duration = 2.109029148000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 23:38:58.311447309 UTC , finish = 2021-07-13 23:39:00.420476457 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '3' , '3' ] , 1 , 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 4 max duration 0.647569739000 min duration 0.053124892000 total durat. 1.201332384000 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 0.678008447000 min duration 0.249798384000 total durat. 1.726187848000 Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} total number 16 max duration 0.365060997000 min duration 0.000861841000 total durat. 1.779388717000 **************************************************