/export/starexec/sandbox2/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 11 rules on 2 letters tile all, by Config { method = Backward,width = 2,unlabel = True} SRS with 99 rules on 8 letters weights SRS with 28 rules on 8 letters remove some, by Config { method = Backward,width = 2,unlabel = True} SRS with 26 rules on 8 letters tile all, by Config { method = Backward,width = 2,unlabel = True} SRS with 223 rules on 26 letters weights SRS with 0 rules on 0 letters no strict rules ************************************************** proof ************************************************** property Termination has value Just True for SRS [a] -> [b] {- Input 0 -} [a, a] -> [a, b, a] {- Input 1 -} [a, b] -> [b, b, b] {- Input 2 -} [a, a, a] -> [a, a, b, a, a] {- Input 3 -} [a, a, b] -> [a, b, b, a, b] {- Input 4 -} [a, b, a] -> [b, a, b, b, a] {- Input 5 -} [a, b, b] -> [b, b, b, b, b] {- Input 6 -} [b, a] -> [b, b, b] {- Input 7 -} [a, b, a] -> [a, b, b, a, b] {- Input 8 -} [b, a, a] -> [b, a, b, b, a] {- Input 9 -} [b, b, a] -> [b, b, b, b, b] {- Input 10 -} 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, >]] -> [[<, b], [b, >]] {- Semlab 0 (Concon 0 (Input 0)) -} [[<, a], [a, a]] -> [[<, b], [b, a]] {- Semlab 0 (Concon 1 (Input 0)) -} [[<, a], [a, b]] -> [[<, b], [b, b]] {- Semlab 0 (Concon 2 (Input 0)) -} [[a, a], [a, >]] -> [[a, b], [b, >]] {- Semlab 1 (Concon 0 (Input 0)) -} [[a, a], [a, a]] -> [[a, b], [b, a]] {- Semlab 1 (Concon 1 (Input 0)) -} [[a, a], [a, b]] -> [[a, b], [b, b]] {- Semlab 1 (Concon 2 (Input 0)) -} [[b, a], [a, >]] -> [[b, b], [b, >]] {- Semlab 2 (Concon 0 (Input 0)) -} [[b, a], [a, a]] -> [[b, b], [b, a]] {- Semlab 2 (Concon 1 (Input 0)) -} [[b, a], [a, b]] -> [[b, b], [b, b]] {- Semlab 2 (Concon 2 (Input 0)) -} [[<, a], [a, a], [a, >]] -> [ [<, a] , [a, b] , [b, a] , [a, >] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, a], [a, a], [a, a]] -> [ [<, a] , [a, b] , [b, a] , [a, a] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, a], [a, a], [a, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[a, a], [a, a], [a, >]] -> [ [a, a] , [a, b] , [b, a] , [a, >] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[a, a], [a, a], [a, a]] -> [ [a, a] , [a, b] , [b, a] , [a, a] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[a, a], [a, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[b, a], [a, a], [a, >]] -> [ [b, a] , [a, b] , [b, a] , [a, >] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[b, a], [a, a], [a, a]] -> [ [b, a] , [a, b] , [b, a] , [a, a] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[b, a], [a, a], [a, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[<, a], [a, b], [b, >]] -> [ [<, b] , [b, b] , [b, b] , [b, >] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, a], [a, b], [b, a]] -> [ [<, b] , [b, b] , [b, b] , [b, a] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[<, a], [a, b], [b, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[a, a], [a, b], [b, >]] -> [ [a, b] , [b, b] , [b, b] , [b, >] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[a, a], [a, b], [b, a]] -> [ [a, b] , [b, b] , [b, b] , [b, a] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[a, a], [a, b], [b, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[b, a], [a, b], [b, >]] -> [ [b, b] , [b, b] , [b, b] , [b, >] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[b, a], [a, b], [b, a]] -> [ [b, b] , [b, b] , [b, b] , [b, a] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[b, a], [a, b], [b, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[<, a], [a, a], [a, a], [a, >]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 3)) -} [[<, a], [a, a], [a, a], [a, a]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 3)) -} [[<, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[a, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 3)) -} [[a, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 3)) -} [[a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[b, a], [a, a], [a, a], [a, >]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 3)) -} [[b, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 3)) -} [[b, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 3)) -} [[<, a], [a, a], [a, b], [b, >]] -> [ [<, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 4)) -} [[<, a], [a, a], [a, b], [b, a]] -> [ [<, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Input 4)) -} [[<, a], [a, a], [a, b], [b, b]] -> [ [<, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 4)) -} [[a, a], [a, a], [a, b], [b, >]] -> [ [a, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 4)) -} [[a, a], [a, a], [a, b], [b, a]] -> [ [a, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Input 4)) -} [[a, a], [a, a], [a, b], [b, b]] -> [ [a, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 4)) -} [[b, a], [a, a], [a, b], [b, >]] -> [ [b, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 4)) -} [[b, a], [a, a], [a, b], [b, a]] -> [ [b, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 4)) -} [[b, a], [a, a], [a, b], [b, b]] -> [ [b, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 4)) -} [[<, a], [a, b], [b, a], [a, >]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 5)) -} [[<, a], [a, b], [b, a], [a, a]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 5)) -} [[<, a], [a, b], [b, a], [a, b]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Input 5)) -} [[a, a], [a, b], [b, a], [a, >]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 5)) -} [[a, a], [a, b], [b, a], [a, a]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 5)) -} [[a, a], [a, b], [b, a], [a, b]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Input 5)) -} [[b, a], [a, b], [b, a], [a, >]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 5)) -} [[b, a], [a, b], [b, a], [a, a]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 5)) -} [[b, a], [a, b], [b, a], [a, b]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 5)) -} [[<, a], [a, b], [b, b], [b, >]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 6)) -} [[<, a], [a, b], [b, b], [b, a]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Input 6)) -} [[<, a], [a, b], [b, b], [b, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 6)) -} [[a, a], [a, b], [b, b], [b, >]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 6)) -} [[a, a], [a, b], [b, b], [b, a]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Input 6)) -} [[a, a], [a, b], [b, b], [b, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 6)) -} [[b, a], [a, b], [b, b], [b, >]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 6)) -} [[b, a], [a, b], [b, b], [b, a]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 6)) -} [[b, a], [a, b], [b, b], [b, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 6)) -} [[<, b], [b, a], [a, >]] -> [ [<, b] , [b, b] , [b, b] , [b, >] ] {- Semlab 0 (Concon 0 (Input 7)) -} [[<, b], [b, a], [a, a]] -> [ [<, b] , [b, b] , [b, b] , [b, a] ] {- Semlab 0 (Concon 1 (Input 7)) -} [[<, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 0 (Concon 2 (Input 7)) -} [[a, b], [b, a], [a, >]] -> [ [a, b] , [b, b] , [b, b] , [b, >] ] {- Semlab 1 (Concon 0 (Input 7)) -} [[a, b], [b, a], [a, a]] -> [ [a, b] , [b, b] , [b, b] , [b, a] ] {- Semlab 1 (Concon 1 (Input 7)) -} [[a, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 1 (Concon 2 (Input 7)) -} [[b, b], [b, a], [a, >]] -> [ [b, b] , [b, b] , [b, b] , [b, >] ] {- Semlab 2 (Concon 0 (Input 7)) -} [[b, b], [b, a], [a, a]] -> [ [b, b] , [b, b] , [b, b] , [b, a] ] {- Semlab 2 (Concon 1 (Input 7)) -} [[b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 2 (Concon 2 (Input 7)) -} [[<, a], [a, b], [b, a], [a, >]] -> [ [<, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 8)) -} [[<, a], [a, b], [b, a], [a, a]] -> [ [<, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Input 8)) -} [[<, a], [a, b], [b, a], [a, b]] -> [ [<, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 8)) -} [[a, a], [a, b], [b, a], [a, >]] -> [ [a, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 8)) -} [[a, a], [a, b], [b, a], [a, a]] -> [ [a, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Input 8)) -} [[a, a], [a, b], [b, a], [a, b]] -> [ [a, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 8)) -} [[b, a], [a, b], [b, a], [a, >]] -> [ [b, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 8)) -} [[b, a], [a, b], [b, a], [a, a]] -> [ [b, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 8)) -} [[b, a], [a, b], [b, a], [a, b]] -> [ [b, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 8)) -} [[<, b], [b, a], [a, a], [a, >]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 9)) -} [[<, b], [b, a], [a, a], [a, a]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 9)) -} [[<, b], [b, a], [a, a], [a, b]] -> [ [<, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Input 9)) -} [[a, b], [b, a], [a, a], [a, >]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 9)) -} [[a, b], [b, a], [a, a], [a, a]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 9)) -} [[a, b], [b, a], [a, a], [a, b]] -> [ [a, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Input 9)) -} [[b, b], [b, a], [a, a], [a, >]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 9)) -} [[b, b], [b, a], [a, a], [a, a]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 9)) -} [[b, b], [b, a], [a, a], [a, b]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 9)) -} [[<, b], [b, b], [b, a], [a, >]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 10)) -} [[<, b], [b, b], [b, a], [a, a]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Input 10)) -} [[<, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 10)) -} [[a, b], [b, b], [b, a], [a, >]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 10)) -} [[a, b], [b, b], [b, a], [a, a]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Input 10)) -} [[a, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 10)) -} [[b, b], [b, b], [b, a], [a, >]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 10)) -} [[b, b], [b, b], [b, a], [a, a]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 10)) -} [[b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 10)) -} reason ([<, a], 6/1) ([a, >], 6/1) ([a, a], 8/1) property Termination has value Just True for SRS [[b, a], [a, b]] -> [[b, b], [b, b]] {- Semlab 2 (Concon 2 (Input 0)) -} [[b, a], [a, b], [b, >]] -> [ [b, b] , [b, b] , [b, b] , [b, >] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[b, a], [a, b], [b, a]] -> [ [b, b] , [b, b] , [b, b] , [b, a] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[b, a], [a, b], [b, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[<, a], [a, a], [a, a], [a, >]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 3)) -} [[<, a], [a, a], [a, a], [a, a]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 3)) -} [[<, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[a, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 3)) -} [[a, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 3)) -} [[a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[b, a], [a, a], [a, a], [a, >]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 3)) -} [[b, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 3)) -} [[b, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 3)) -} [[b, a], [a, b], [b, a], [a, >]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 5)) -} [[b, a], [a, b], [b, a], [a, a]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 5)) -} [[b, a], [a, b], [b, a], [a, b]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 5)) -} [[b, a], [a, b], [b, b], [b, >]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 6)) -} [[b, a], [a, b], [b, b], [b, a]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 6)) -} [[b, a], [a, b], [b, b], [b, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 6)) -} [[<, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 0 (Concon 2 (Input 7)) -} [[a, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 1 (Concon 2 (Input 7)) -} [[b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 2 (Concon 2 (Input 7)) -} [[<, a], [a, b], [b, a], [a, b]] -> [ [<, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 8)) -} [[a, a], [a, b], [b, a], [a, b]] -> [ [a, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 8)) -} [[b, a], [a, b], [b, a], [a, b]] -> [ [b, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 8)) -} [[<, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 10)) -} [[a, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 10)) -} [[b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 10)) -} 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 26 tiles remove some unmatched rules steps: 0 property Termination has value Just True for SRS [[b, a], [a, b]] -> [[b, b], [b, b]] {- Semlab 2 (Concon 2 (Input 0)) -} [[b, a], [a, b], [b, a]] -> [ [b, b] , [b, b] , [b, b] , [b, a] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[b, a], [a, b], [b, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[<, a], [a, a], [a, a], [a, >]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 3)) -} [[<, a], [a, a], [a, a], [a, a]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 3)) -} [[<, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[a, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 3)) -} [[a, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 3)) -} [[a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[b, a], [a, a], [a, a], [a, >]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 3)) -} [[b, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 3)) -} [[b, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 3)) -} [[b, a], [a, b], [b, a], [a, >]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 5)) -} [[b, a], [a, b], [b, a], [a, a]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 5)) -} [[b, a], [a, b], [b, a], [a, b]] -> [ [b, b] , [b, a] , [a, b] , [b, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 5)) -} [[b, a], [a, b], [b, b], [b, >]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 6)) -} [[b, a], [a, b], [b, b], [b, a]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Input 6)) -} [[b, a], [a, b], [b, b], [b, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 6)) -} [[a, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 1 (Concon 2 (Input 7)) -} [[b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] ] {- Semlab 2 (Concon 2 (Input 7)) -} [[<, a], [a, b], [b, a], [a, b]] -> [ [<, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 8)) -} [[a, a], [a, b], [b, a], [a, b]] -> [ [a, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 8)) -} [[b, a], [a, b], [b, a], [a, b]] -> [ [b, a] , [a, b] , [b, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 8)) -} [[<, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 10)) -} [[a, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 10)) -} [[b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 10)) -} 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 26 tiles tile all rules steps: 0 property Termination has value Just True for SRS [[<, [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [<, [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 0)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, a]]] -> [ [<, [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 0)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, b]]] -> [ [<, [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 0)))) -} [[[a, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 0)))) -} [[[a, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, a]]] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 0)))) -} [[[a, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, b]]] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 0)))) -} [[[b, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 0)))) -} [[[b, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, a]]] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 0)))) -} [[[b, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, b]]] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 0)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, a]], [[b, a], >]] -> [ [<, [b, b]] , [ [b, b] , [b, b] ] , [ [b, b] , [b, b] ] , [ [b, b] , [b, a] ] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, a]], [[b, a], [a, b]]] -> [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , a ] ] , [ [ b , a ] , [ a , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 2)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, a]], [[b, a], [a, a]]] -> [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , a ] ] , [ [ b , a ] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 2)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, a]], [[b, a], [a, >]]] -> [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , a ] ] , [ [ b , a ] , [ a , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 1 (Input 2)))) -} [[[a, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, a]], [[b, a], >]] -> [ [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , a ] ] , [ [ b , a ] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[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, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , > ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 1 (Input 2)))) -} [[[b, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, a]], [[b, a], >]] -> [ [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , a ] ] , [ [ b , a ] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, >]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , > ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 1 (Input 2)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, b]], [[b, b], >]] -> [ [<, [b, b]] , [ [b, b] , [b, b] ] , [ [b, b] , [b, b] ] , [ [b, b] , [b, b] ] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, b]], [[b, b], [b, a]]] -> [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, b]], [[b, b], [b, b]]] -> [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [[<, [b, a]], [[b, a], [a, b]], [[a, b], [b, b]], [[b, b], [b, >]]] -> [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 2 (Input 2)))) -} [[[a, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, b]], [[b, b], >]] -> [ [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 2 (Input 2)))) -} [[[b, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, b]], [[b, b], >]] -> [ [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 2 (Input 2)))) -} [ [<, [<, a]] , [[<, 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]] , [[a, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 0 (Input 3)))) -} [ [<, [<, a]] , [[<, a], [a, 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]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 3)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 1 (Input 3)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, 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]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 1 (Input 3)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[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]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 0 (Concon 1 (Input 3)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Input 3)))) -} [ [<, [a, a]] , [[a, a], [a, 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]] , [[a, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 0 (Input 3)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, >]] , [[a, >], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 0 (Input 3)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[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]] , [[a, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 0 (Input 3)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, 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]] , [[a, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 0 (Input 3)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, 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]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 3)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 1 (Input 3)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, 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]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 1 (Input 3)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [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]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, >]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 1 (Concon 3 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [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]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[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]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, 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]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 2 (Concon 3 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, 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]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, 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]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 1 (Input 3)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[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]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 3 (Concon 3 (Semlab 1 (Concon 1 (Input 3)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, 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, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[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]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 2 (Input 3)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, >]] , [[a, >], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 0 (Input 3)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, >]] , [[a, >], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 3)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, >]] , [[a, >], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 0 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, >]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 1 (Input 3)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 3)))) -} [ [[a, 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]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 3)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 3)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, >]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 1 (Input 3)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 1 (Input 3)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 1 (Input 3)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 3)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, >]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 1 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 3)))) -} [ [[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, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 3)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, >]] , [[a, >], >] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 0 (Input 5)))) -} [ [[a, b], [b, a]] , [[b, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 5)))) -} [ [[b, b], [b, a]] , [[b, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, >]] , [ [a, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 0 (Input 5)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], >] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 5)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 5)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 5)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] ] -> [ [<, [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 1 (Input 5)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 5)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 5)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 5)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 1 (Input 5)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 1 (Input 5)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 1 (Input 5)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 5)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 1 (Input 5)))) -} [ [<, [b, a]] , [[b, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 5)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, 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, a]] , [[b, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 5)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, 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, a]] , [[b, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 5)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[a, 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] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 5)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, 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, a]] , [[b, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 5)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, 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, a]] , [[b, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 5)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, 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, a]] , [[b, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 5)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, 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, a]] , [[b, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 5)))) -} [ [[b, 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]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 5)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 0 (Input 6)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, >]] , [[b, >], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] , [ [b, >] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 0 (Input 6)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 6)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 6)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 6)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, >]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 1 (Input 6)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 6)))) -} [ [[a, 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]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 6)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 6)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , > ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 1 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 1 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 1 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 1 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, >]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [ [b, a] , [ a , > ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 1 (Input 6)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 6)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 6)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 6)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 2 (Input 6)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 6)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 6)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 6)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 2 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 6)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, >]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , > ] ] ] {- Semlab 2 (Concon 3 (Semlab 2 (Concon 2 (Input 6)))) -} [[<, [a, b]], [[a, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [<, [a, b]] , [ [a, b] , [b, b] ] , [ [b, b] , [b, b] ] , [ [b, b] , [b, b] ] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 7)))) -} [[<, [a, b]], [[a, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, a]]] -> [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 7)))) -} [[<, [a, b]], [[a, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, b]]] -> [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 7)))) -} [[[b, a], [a, b]], [[a, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [ [ b , a ] , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 7)))) -} [ [[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, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 7)))) -} [ [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 7)))) -} [[[<, a], [a, b]], [[a, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [ [ < , a ] , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Input 7)))) -} [ [[<, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Input 7)))) -} [ [[<, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Input 7)))) -} [[[a, a], [a, b]], [[a, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [ [ a , a ] , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 2 (Input 7)))) -} [ [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 2 (Input 7)))) -} [ [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Input 7)))) -} [[<, [b, b]], [[b, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [<, [b, b]] , [ [b, b] , [b, b] ] , [ [b, b] , [b, b] ] , [ [b, b] , [b, b] ] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 7)))) -} [[<, [b, b]], [[b, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, a]]] -> [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 7)))) -} [[<, [b, b]], [[b, b], [b, a]], [[b, a], [a, b]], [[a, b], [b, b]]] -> [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 7)))) -} [[[a, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 7)))) -} [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 7)))) -} [ [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 7)))) -} [[[b, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 7)))) -} [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 7)))) -} [ [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 7)))) -} [[[<, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, b]], [[a, b], >]] -> [ [ [ < , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 2 (Input 7)))) -} [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 2 (Input 7)))) -} [ [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 2 (Input 7)))) -} [ [<, [<, a]] , [[<, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [<, [<, a]] , [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Input 8)))) -} [ [<, [<, a]] , [[<, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [<, a]] , [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Input 8)))) -} [ [<, [<, a]] , [[<, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [<, a]] , [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Input 8)))) -} [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 8)))) -} [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 8)))) -} [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[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, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, 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, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 2 (Input 8)))) -} [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Input 8)))) -} [ [<, [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, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 8)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [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 , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 8)))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, 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 ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 8)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[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, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 8)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, 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 , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 8)))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, 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 ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 8)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, 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] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 8)))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, 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, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 8)))) -} [ [[b, b], [b, a]] , [[b, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 8)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Input 10)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Input 10)))) -} [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [<, b]] , [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Input 10)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 10)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 10)))) -} [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, 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, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 2 (Input 10)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Input 10)))) -} [ [<, [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]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 10)))) -} [ [<, [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, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 10)))) -} [ [<, [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], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[a, 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, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[a, 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, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[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, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[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, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[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, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[<, 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, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[<, 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]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 1 (Semlab 2 (Concon 2 (Input 10)))) -} [ [[<, 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, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 2 (Semlab 2 (Concon 2 (Input 10)))) -} reason ([<, [b, a]], 21/1) ([[b, a], [a, b]], 57/1) ([[a, b], >], 21/1) ([[a, b], [b, a]], 2/1) ([[a, a], [a, a]], 3/1) property Termination has value Just True for SRS reason no strict rules ************************************************** skeleton: (11,2)\TileAllRFCrev{2}(99,8)\Weight(28,8)\TileRemoveRFCrev{2}(26,8)\TileAllRFCrev{2}(223,26)\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 1 max duration 2.875764655000 min duration 2.875764655000 total durat. 2.875764655000 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 = 45 , num_strict_rules = 34 , num_top_rules = 34 , num_weak_rules = 11 , alphabet_size = 4 , total_length = 275} , self = 79 , parent = Just 12 , duration = 2.875764655000 , status = Except [ 'A' , 's' , 'y' , 'n' , 'c' , 'C' , 'a' , 'n' , 'c' , 'e' , 'l' , 'l' , 'e' , 'd' ] , start = 2021-07-13 23:41:55.837337829 UTC , finish = 2021-07-13 23:41:58.713102484 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '7' , '7' ] , 0 , True )} Success : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False} total number 1 max duration 2.866285869000 min duration 2.866285869000 total durat. 2.866285869000 Info { what = QPI { dim = 2 , bits = 3 , solver = Minisatapi , tracing = False , verbose = False} , input_size = Size { num_rules = 45 , num_strict_rules = 34 , num_top_rules = 34 , num_weak_rules = 11 , alphabet_size = 4 , total_length = 275} , self = 77 , parent = Just 12 , duration = 2.866285869000 , status = Success , start = 2021-07-13 23:41:55.837273383 UTC , finish = 2021-07-13 23:41:58.703559252 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '7' , '4' ] , 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 5 max duration 1.055177770000 min duration 0.109869172000 total durat. 1.984511212000 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 = 26 , num_strict_rules = 26 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 8 , total_length = 242} , self = 72 , parent = Just 55 , duration = 1.055177770000 , status = Success , start = 2021-07-13 23:41:56.819295679 UTC , finish = 2021-07-13 23:41:57.874473449 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '3' , '0' ] , 3 , True )} Success : Tiling { method = Forward , width = 2 , state_type = Best , map_type = Enum , unlabel = True , print_completion_steps = False , print_tiles = False , max_num_tiles = Just 1000 , max_num_rules = Just 100000 , verbose = False , tracing = False} total number 3 max duration 1.276363944000 min duration 0.123563714000 total durat. 1.580970391000 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 = 26 , num_strict_rules = 26 , num_top_rules = 0 , num_weak_rules = 0 , alphabet_size = 8 , total_length = 242} , self = 74 , parent = Just 55 , duration = 1.276363944000 , status = Success , start = 2021-07-13 23:41:56.819487473 UTC , finish = 2021-07-13 23:41:58.095851417 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '3' , '6' ] , 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 3 max duration 1.303354286000 min duration 0.820030152000 total durat. 2.969515417000 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 = 17 , num_strict_rules = 9 , num_top_rules = 9 , num_weak_rules = 8 , alphabet_size = 4 , total_length = 110} , self = 81 , parent = Just 64 , duration = 1.303354286000 , status = Success , start = 2021-07-13 23:41:57.412683257 UTC , finish = 2021-07-13 23:41:58.716037543 UTC , thread_cap_info = ( [ 'T' , 'h' , 'r' , 'e' , 'a' , 'd' , 'I' , 'd' , ' ' , '2' , '6' , '6' ] , 3 , True )} Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False} total number 8 max duration 0.767244651000 min duration 0.003872004000 total durat. 2.223129608000 **************************************************