/export/starexec/sandbox2/solver/bin/starexec_run_tc20-rel.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 2 strict rules and 1 weak rules on 3 letters tile all, by Config { method = Overlap,width = 2,unlabel = True} SRS with 28 strict rules and 12 weak rules on 12 letters weights SRS with 19 strict rules and 12 weak rules on 12 letters Matrix { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 18 strict rules and 12 weak rules on 12 letters remove some, by Config { method = Overlap,width = 3,unlabel = True} SRS with 8 strict rules and 10 weak rules on 10 letters tile all, by Config { method = Overlap,width = 2,unlabel = True} SRS with 59 strict rules and 46 weak rules on 27 letters weights SRS with 3 strict rules and 37 weak rules on 20 letters remove some, by Config { method = Overlap,width = 3,unlabel = True} SRS with 3 strict rules and 23 weak rules on 20 letters Matrix { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 18 weak rules on 18 letters weights SRS with 0 strict rules and 10 weak rules on 13 letters no strict rules ************************************************** proof ************************************************** property Termination has value Just True for SRS [a, a, c, c, b, b] -> [b, b, a, a, b, b, a, a] {- Input 0 -} [a, a, a, a] -> [a, a, b, b, a, a] {- Input 1 -} [b, b] ->= [b, b, c, c] {- Input 2 -} reason Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, unlabel = True, print_completion_steps = False, print_tiles = False, verbose = False, tracing = True} steps 1 using 13 tiles tile all rules steps: 1 property Termination has value Just True for SRS [[<, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, a]] -> [ [<, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 0 (Input 0)) -} [[<, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [<, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 0 (Concon 1 (Input 0)) -} [[<, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, b]] -> [ [<, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Input 0)) -} [[a, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, a]] -> [ [a, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 0 (Input 0)) -} [[a, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [a, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 1 (Input 0)) -} [[a, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, b]] -> [ [a, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Input 0)) -} [[c, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, a]] -> [ [c, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 0 (Input 0)) -} [[c, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [c, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[c, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, b]] -> [ [c, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Input 0)) -} [[b, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, a]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 0 (Input 0)) -} [[b, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 1 (Input 0)) -} [[b, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, b]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (Input 0)) -} [[<, a], [a, a], [a, a], [a, a], [a, >]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, a]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, c]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 3 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, c]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, >]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, a]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, c]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, b]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 3 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, >]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, c]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 2 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 3 (Concon 3 (Input 1)) -} [[<, b], [b, b], [b, a]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, b], [b, b], [b, c]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[<, b], [b, b], [b, b]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[a, b], [b, b], [b, a]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[a, b], [b, b], [b, c]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[a, b], [b, b], [b, b]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[c, b], [b, b], [b, a]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[c, b], [b, b], [b, c]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[c, b], [b, b], [b, b]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[b, b], [b, b], [b, a]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 3 (Concon 0 (Input 2)) -} [[b, b], [b, b], [b, c]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 3 (Concon 1 (Input 2)) -} [[b, b], [b, b], [b, b]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 3 (Concon 2 (Input 2)) -} reason ([<, a], 3/1) ([a, c], 8/1) property Termination has value Just True for SRS [[a, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [a, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 1 (Input 0)) -} [[c, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [c, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[b, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 1 (Input 0)) -} [[<, a], [a, a], [a, a], [a, a], [a, >]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, a]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, c]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 3 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, c]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, >]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, a]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, c]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, b]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 3 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, >]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, c]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 2 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 3 (Concon 3 (Input 1)) -} [[<, b], [b, b], [b, a]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, b], [b, b], [b, c]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[<, b], [b, b], [b, b]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[a, b], [b, b], [b, a]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[a, b], [b, b], [b, c]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[a, b], [b, b], [b, b]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[c, b], [b, b], [b, a]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[c, b], [b, b], [b, c]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[c, b], [b, b], [b, b]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[b, b], [b, b], [b, a]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 3 (Concon 0 (Input 2)) -} [[b, b], [b, b], [b, c]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 3 (Concon 1 (Input 2)) -} [[b, b], [b, b], [b, b]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 3 (Concon 2 (Input 2)) -} reason ( [<, a] , St / 1 0 \ \ 0 1 / ) ( [a, a] , St / 1 1 \ \ 0 1 / ) ( [a, c] , St / 2 1 \ \ 0 1 / ) ( [c, c] , St / 1 0 \ \ 0 1 / ) ( [c, b] , St / 1 1 \ \ 0 1 / ) ( [b, b] , St / 1 1 \ \ 0 1 / ) ( [b, a] , St / 1 0 \ \ 0 1 / ) ( [<, b] , St / 2 1 \ \ 0 1 / ) ( [a, b] , St / 1 0 \ \ 0 1 / ) ( [b, c] , St / 1 0 \ \ 0 1 / ) ( [c, a] , St / 1 0 \ \ 0 1 / ) ( [a, >] , St / 1 1 \ \ 0 1 / ) property Termination has value Just True for SRS [[c, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [c, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[b, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 1 (Input 0)) -} [[<, a], [a, a], [a, a], [a, a], [a, >]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, a]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, c]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[<, a], [a, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 3 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, c]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, >]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, a]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, c]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, b]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 3 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, >]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, c]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 2 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 3 (Concon 3 (Input 1)) -} [[<, b], [b, b], [b, a]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, b], [b, b], [b, c]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[<, b], [b, b], [b, b]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 0 (Concon 2 (Input 2)) -} [[a, b], [b, b], [b, a]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[a, b], [b, b], [b, c]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[a, b], [b, b], [b, b]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[c, b], [b, b], [b, a]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[c, b], [b, b], [b, c]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[c, b], [b, b], [b, b]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[b, b], [b, b], [b, a]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 3 (Concon 0 (Input 2)) -} [[b, b], [b, b], [b, c]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 3 (Concon 1 (Input 2)) -} [[b, b], [b, b], [b, b]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 3 (Concon 2 (Input 2)) -} reason Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, unlabel = True, print_completion_steps = False, print_tiles = False, verbose = False, tracing = True} steps 1 using 63 tiles remove some unmatched rules steps: 1 property Termination has value Just True for SRS [[c, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [c, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[b, a], [a, a], [a, c], [c, c], [c, b], [b, b], [b, c]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 1 (Input 0)) -} [[a, a], [a, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[a, a], [a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, a]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[c, a], [a, a], [a, a], [a, a], [a, b]] -> [ [c, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 3 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (Input 1)) -} [[b, a], [a, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, a] , [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 3 (Concon 3 (Input 1)) -} [[<, b], [b, b], [b, c]] ->= [ [<, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[a, b], [b, b], [b, a]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[a, b], [b, b], [b, c]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[a, b], [b, b], [b, b]] ->= [ [a, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 1 (Concon 2 (Input 2)) -} [[c, b], [b, b], [b, a]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[c, b], [b, b], [b, c]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 2 (Concon 1 (Input 2)) -} [[c, b], [b, b], [b, b]] ->= [ [c, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 2 (Concon 2 (Input 2)) -} [[b, b], [b, b], [b, a]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, a] ] {- Semlab 3 (Concon 0 (Input 2)) -} [[b, b], [b, b], [b, c]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, c] ] {- Semlab 3 (Concon 1 (Input 2)) -} [[b, b], [b, b], [b, b]] ->= [ [b, b] , [b, b] , [b, c] , [c, c] , [c, b] ] {- Semlab 3 (Concon 2 (Input 2)) -} reason Tiling { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, unlabel = True, print_completion_steps = False, print_tiles = False, verbose = False, tracing = True} steps 1 using 31 tiles tile all rules steps: 1 property Termination has value Just True for SRS [ [<, [c, a]] , [[c, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [<, [c, b]] , [[c, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 0)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [<, [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 1 (Input 0)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 0)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 0)))) -} [ [<, [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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [<, [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 , c ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], >] ] -> [ [[c, 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] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, 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 ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [[c, 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 , c ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[c, 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 , b ] ] ] {- Semlab 1 (Concon 3 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[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, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[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, 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 ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [[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 , c ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[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, 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 , b ] ] ] {- Semlab 2 (Concon 3 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, 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], [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 ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [[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, a]] , [ [a, a] , [ a , c ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 1 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 3 (Concon 3 (Semlab 1 (Concon 1 (Input 1)))) -} [ [<, [a, a]] , [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 3 (Input 1)))) -} [ [<, [a, a]] , [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 3 (Input 1)))) -} [ [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [[c, 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] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 3 (Input 1)))) -} [ [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[c, 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 , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 3 (Input 1)))) -} [ [[a, a], [a, a]] , [[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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 3 (Input 1)))) -} [ [[a, a], [a, a]] , [[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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 3 (Input 1)))) -} [ [[b, a], [a, a]] , [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 3 (Input 1)))) -} [ [[b, a], [a, a]] , [[a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 3 (Input 1)))) -} [ [<, [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], >] ] -> [ [<, [c, a]] , [[c, 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] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] ] -> [ [<, [c, a]] , [[c, 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 ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [<, [c, a]] , [[c, 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 , c ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [<, [c, a]] , [[c, 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 , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], >] ] -> [ [[c, c], [c, a]] , [[c, 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] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, c], [c, a]] , [[c, 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 ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [[c, c], [c, a]] , [[c, 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 , c ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 1 (Input 1)))) -} [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[c, c], [c, a]] , [[c, 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 , b ] ] ] {- Semlab 1 (Concon 3 (Semlab 2 (Concon 1 (Input 1)))) -} [ [<, [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [<, [c, a]] , [[c, 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] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 3 (Input 1)))) -} [ [<, [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [c, a]] , [[c, 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 , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 3 (Input 1)))) -} [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [[c, c], [c, a]] , [[c, 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] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 3 (Input 1)))) -} [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[c, c], [c, a]] , [[c, 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 , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 3 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 1 (Semlab 3 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [<, [b, a]] , [[b, 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 , c ] ] ] {- Semlab 0 (Concon 2 (Semlab 3 (Concon 1 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 0 (Concon 3 (Semlab 3 (Concon 1 (Input 1)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], >] ] -> [ [[c, b], [b, a]] , [[b, 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] , > ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 1)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, b], [b, a]] , [[b, 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 ] ] ] {- Semlab 1 (Concon 1 (Semlab 3 (Concon 1 (Input 1)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [[c, b], [b, a]] , [[b, 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 , c ] ] ] {- Semlab 1 (Concon 2 (Semlab 3 (Concon 1 (Input 1)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[c, b], [b, a]] , [[b, 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 , b ] ] ] {- Semlab 1 (Concon 3 (Semlab 3 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 2 (Concon 1 (Semlab 3 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, c]] ] -> [ [[b, b], [b, a]] , [[b, 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 , c ] ] ] {- Semlab 2 (Concon 2 (Semlab 3 (Concon 1 (Input 1)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , b ] ] ] {- Semlab 2 (Concon 3 (Semlab 3 (Concon 1 (Input 1)))) -} [ [<, [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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 3 (Input 1)))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, 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, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 3 (Concon 3 (Input 1)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [[c, b], [b, a]] , [[b, 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] , > ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 3 (Input 1)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[c, b], [b, a]] , [[b, 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 , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 3 (Concon 3 (Input 1)))) -} [ [[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, a]] , [[b, 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] , > ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 3 (Input 1)))) -} [ [[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]] , [[b, 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 , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 3 (Concon 3 (Input 1)))) -} [[<, [<, b]], [[<, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ < , b ] ] , [ [ < , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, a]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , a ] ] , [ [ c , a ] , [ a , a ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 0 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 0 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, b]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, c]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, a]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, a]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , a ] ] , [ [ c , a ] , [ a , a ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, b]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, c]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, a]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, a]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , a ] ] , [ [ c , a ] , [ a , a ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, b]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, c]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Semlab 3 (Concon 2 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, a]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[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, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 2 (Concon 1 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 3 (Concon 1 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[<, 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, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 4 (Concon 1 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 4 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} reason ([<, [c, a]], 1/1) ([[c, b], [b, b]], 2/9) ([<, [b, a]], 1/1) ([[b, b], [b, b]], 1/9) ([[c, b], [b, a]], 1/9) ([[a, a], [a, a]], 54/1) property Termination has value Just True for SRS [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 0)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 0)))) -} [[<, [<, b]], [[<, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ < , b ] ] , [ [ < , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, a]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , a ] ] , [ [ c , a ] , [ a , a ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 0 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 0 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, b]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, a]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, a]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , a ] ] , [ [ c , a ] , [ a , a ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, b]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, a]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, a]], [[b, a], [a, a]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , a ] ] , [ [ c , a ] , [ a , a ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, b]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, b]], [[b, b], [b, a]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , b ] ] , [ [ c , b ] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[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, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[<, 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, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 4 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} reason Tiling { method = Overlap, width = 3, state_type = Bit64, map_type = Enum, unlabel = True, print_completion_steps = False, print_tiles = False, verbose = False, tracing = True} steps 1 using 82 tiles remove some unmatched rules steps: 1 property Termination has value Just True for SRS [ [[c, c], [c, a]] , [[c, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 0)))) -} [ [[c, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 0)))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [[a, c], [c, c]] , [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] -> [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, c]] , [ [a, c] , [ c , c ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 0)))) -} [[<, [<, b]], [[<, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ < , b ] ] , [ [ < , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 0 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[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, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , b ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} reason ( [[c, c], [c, a]] , St / 1 0 \ \ 0 1 / ) ( [[c, a], [a, a]] , St / 1 0 \ \ 0 1 / ) ( [[a, a], [a, c]] , St / 2 1 \ \ 0 1 / ) ( [[a, c], [c, c]] , St / 2 0 \ \ 0 1 / ) ( [[c, c], [c, b]] , St / 2 0 \ \ 0 1 / ) ( [[c, b], [b, b]] , St / 2 0 \ \ 0 1 / ) ( [[b, b], [b, c]] , St / 1 0 \ \ 0 1 / ) ( [[b, c], [c, c]] , St / 1 1 \ \ 0 1 / ) ( [[b, b], [b, a]] , St / 1 0 \ \ 0 1 / ) ( [[b, a], [a, a]] , St / 1 1 \ \ 0 1 / ) ( [[a, a], [a, b]] , St / 1 0 \ \ 0 1 / ) ( [[a, b], [b, b]] , St / 1 0 \ \ 0 1 / ) ( [[c, b], [b, a]] , St / 1 0 \ \ 0 1 / ) ( [[b, b], [b, b]] , St / 2 1 \ \ 0 1 / ) ( [<, [<, b]] , St / 1 0 \ \ 0 1 / ) ( [[<, b], [b, b]] , St / 1 0 \ \ 0 1 / ) ( [[c, c], [c, c]] , St / 1 0 \ \ 0 1 / ) ( [<, [a, b]] , St / 2 0 \ \ 0 1 / ) ( [<, [c, b]] , St / 1 0 \ \ 0 1 / ) ( [<, [b, b]] , St / 1 0 \ \ 0 1 / ) property Termination has value Just True for SRS [[<, [<, b]], [[<, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ < , b ] ] , [ [ < , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 0 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 0 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, a]] , [ [c, a] , [ a , a ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 0 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, b]] , [ [c, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 3 (Concon 2 (Input 2)))) -} reason ([[b, b], [b, a]], 8/1) ([[b, a], [a, a]], 4/1) ([[b, b], [b, b]], 4/1) property Termination has value Just True for SRS [[<, [<, b]], [[<, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ < , b ] ] , [ [ < , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Input 2)))) -} [[<, [a, b]], [[a, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ a , b ] ] , [ [ a , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 1 (Input 2)))) -} [[<, [c, b]], [[c, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ c , b ] ] , [ [ c , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, c], [c, b]] , [[c, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 1 (Input 2)))) -} [[<, [b, b]], [[b, b], [b, b]], [[b, b], [b, c]], [[b, c], [c, c]]] ->= [ [ < , [ b , b ] ] , [ [ b , b ] , [ b , b ] ] , [ [ b , b ] , [ b , c ] ] , [ [ b , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , [ c , c ] ] ] {- Semlab 0 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[c, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 2 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 3 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] ] ->= [ [[<, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, c]] , [[b, c], [c, c]] , [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 4 (Concon 0 (Semlab 3 (Concon 1 (Input 2)))) -} reason no strict rules ************************************************** skeleton: (2/1,3)\TileAllROC{2}(28/12,12)\Weight(19/12,12)\Matrix{\Natural}{2}(18/12,12)\TileRemoveROC{3}(8/10,10)\TileAllROC{2}(59/46,27)\Weight(3/37,20)\TileRemoveROC{3}(3/23,20)\Matrix{\Natural}{2}(0/18,18)\Weight(0/10,13)[] ************************************************** let {} in let {done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 100000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,tracing = True})) (Worker Remap));matrix = \ mo dom dim bits -> when_small (weighted (Worker (Matrix {monotone = mo,domain = dom,dim = dim,bits = bits,shape = Corner})));kbo = \ b -> when_medium (weighted (Worker (KBO {bits = b,solver = Minisatapi})));yeah = Apply wop (Tree_Search_Preemptive 0 done ([ ] <> ([ kbo 1, And_Then (Worker Mirror) (kbo 1)] <> ((for [ 3, 4] (\ d -> matrix Strict Natural d 3)) <> (for [ 2, 3, 5] (\ w -> tiling Overlap w))))));noh = [ Timeout 5 (Worker (Enumerate {closure = Forward})), Timeout 5 (Worker (Enumerate {closure = Backward}))]} in Apply (Worker Remap) (First_Of ([ yeah] <> noh))