/export/starexec/sandbox/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 3 rules on 2 letters mirror SRS with 3 rules on 2 letters tile all, by Config { method = Forward,width = 2,unlabel = False} SRS with 24 rules on 7 letters weights SRS with 9 rules on 6 letters tile all, by Config { method = Forward,width = 2,unlabel = False} SRS with 69 rules on 17 letters weights SRS with 8 rules on 12 letters unlabel SRS with 3 rules on 5 letters unlabel SRS with 1 rules on 2 letters Matchbound { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 15 states ************************************************** proof ************************************************** property Termination has value Just True for SRS [a, b, b, a] -> [b, a, b, a] {- Input 0 -} [a, b, b, b] -> [a, a, b, a] {- Input 1 -} [a, a, a, a] -> [b, b, b, a] {- Input 2 -} reason mirror property Termination has value Just True for SRS [a, b, b, a] -> [a, b, a, b] {- Mirror (Input 0) -} [b, b, b, a] -> [a, b, a, a] {- Mirror (Input 1) -} [a, a, a, a] -> [a, b, b, b] {- Mirror (Input 2) -} reason Tiling { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False} steps 0 using 7 tiles tile all rules steps: 0 property Termination has value Just True for SRS [[<, a], [a, b], [b, b], [b, a], [a, >]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 0))) -} [[<, a], [a, b], [b, b], [b, a], [a, a]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 0))) -} [[<, a], [a, b], [b, b], [b, a], [a, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 0))) -} [[a, a], [a, b], [b, b], [b, a], [a, >]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 0))) -} [[a, a], [a, b], [b, b], [b, a], [a, a]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 0))) -} [[a, a], [a, b], [b, b], [b, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 0))) -} [[b, a], [a, b], [b, b], [b, a], [a, >]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 0))) -} [[b, a], [a, b], [b, b], [b, a], [a, a]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 0))) -} [[b, a], [a, b], [b, b], [b, a], [a, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 0))) -} [[a, b], [b, b], [b, b], [b, a], [a, >]] -> [ [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 1))) -} [[a, b], [b, b], [b, b], [b, a], [a, a]] -> [ [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 1))) -} [[a, b], [b, b], [b, b], [b, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 1))) -} [[b, b], [b, b], [b, b], [b, a], [a, >]] -> [ [b, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 1))) -} [[b, b], [b, b], [b, b], [b, a], [a, a]] -> [ [b, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 1))) -} [[b, b], [b, b], [b, b], [b, a], [a, b]] -> [ [b, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 1))) -} [[<, a], [a, a], [a, a], [a, a], [a, >]] -> [ [<, a] , [a, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 2))) -} [[<, a], [a, a], [a, a], [a, a], [a, a]] -> [ [<, a] , [a, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 2))) -} [[<, a], [a, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -} [[a, a], [a, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 2))) -} [[a, a], [a, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 2))) -} [[a, a], [a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -} [[b, a], [a, a], [a, a], [a, a], [a, >]] -> [ [b, a] , [a, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 2))) -} [[b, a], [a, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 2))) -} [[b, a], [a, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -} reason ([b, b], 1/18) ([a, >], 1/1) ([a, a], 1/18) property Termination has value Just True for SRS [[<, a], [a, b], [b, b], [b, a], [a, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 0))) -} [[a, a], [a, b], [b, b], [b, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 0))) -} [[b, a], [a, b], [b, b], [b, a], [a, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 0))) -} [[a, b], [b, b], [b, b], [b, a], [a, >]] -> [ [a, a] , [a, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 1))) -} [[a, b], [b, b], [b, b], [b, a], [a, a]] -> [ [a, a] , [a, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 1))) -} [[a, b], [b, b], [b, b], [b, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 1))) -} [[<, a], [a, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -} [[a, a], [a, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -} [[b, a], [a, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -} reason Tiling { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False} steps 1 using 18 tiles tile all rules steps: 1 property Termination has value Just True for SRS [ [<, [<, 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, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Mirror (Input 0))))) -} [ [<, [<, 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, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Mirror (Input 0))))) -} [ [<, [<, 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, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Mirror (Input 0))))) -} [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[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, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, 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 ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, 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 ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[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, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[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]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], >] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [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 0 (Concon 1 (Mirror (Input 1))))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 3 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, 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 0 (Concon 1 (Mirror (Input 1))))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] ] -> [ [[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 0 (Concon 1 (Mirror (Input 1))))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [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 2 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, 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 3 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 2 (Concon 0 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, 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 2 (Concon 1 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, >]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , > ] ] ] {- Semlab 2 (Concon 2 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 2 (Concon 3 (Semlab 0 (Concon 1 (Mirror (Input 1))))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [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] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], >] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, 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 2 (Concon 0 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 0 (Concon 2 (Mirror (Input 1))))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [<, [<, a]] , [[<, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 0 (Concon 2 (Mirror (Input 2))))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, 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 0 (Concon 1 (Semlab 0 (Concon 2 (Mirror (Input 2))))) -} [ [<, [<, a]] , [[<, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, 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 0 (Concon 2 (Semlab 0 (Concon 2 (Mirror (Input 2))))) -} [ [<, [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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [<, [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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [<, [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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [[<, 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, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [[<, 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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 1 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [[<, 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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 3 (Concon 0 (Semlab 1 (Concon 2 (Mirror (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, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 3 (Concon 1 (Semlab 1 (Concon 2 (Mirror (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]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 2))))) -} [ [<, [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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} [ [<, [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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 1 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} [ [<, [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], >] ] -> [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, 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 ] ] ] {- Semlab 1 (Concon 1 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} [ [[a, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[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 2 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} [ [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 2 (Concon 0 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} [ [[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, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 2 (Concon 1 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} [ [[b, b], [b, a]] , [[b, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Mirror (Input 2))))) -} reason ([[a, b], [b, b]], 386/5) ([[b, b], [b, a]], 4/1) ([[a, b], >], 1/1) ([[b, b], [b, b]], 4/1) ([[a, a], [a, b]], 68/5) ([[<, a], [a, a]], 17/5) ([[b, a], [a, a]], 51/5) ([[a, a], [a, a]], 183/5) property Termination has value Just True for SRS [ [<, [<, 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, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 0 (Concon 2 (Mirror (Input 0))))) -} [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[<, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 3 (Concon 2 (Semlab 1 (Concon 2 (Mirror (Input 0))))) -} [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [<, [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 0 (Concon 2 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 1 (Concon 2 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, b]] , [ [b, b] , [ b , a ] ] ] {- Semlab 2 (Concon 2 (Semlab 2 (Concon 2 (Mirror (Input 0))))) -} reason unlabel property Termination has value Just True for SRS [0, 1, 2, 3, 1] -> [0, 1, 3, 1, 2] {- Semlab 0 (Concon 2 (Mirror (Input 0))) -} [4, 1, 2, 3, 1] -> [4, 1, 3, 1, 2] {- Semlab 1 (Concon 2 (Mirror (Input 0))) -} [3, 1, 2, 3, 1] -> [3, 1, 3, 1, 2] {- Semlab 2 (Concon 2 (Mirror (Input 0))) -} reason unlabel property Termination has value Just True for SRS [0, 1, 1, 0] -> [0, 1, 0, 1] {- Mirror (Input 0) -} reason Matchbound Matchbound { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 15 states ************************************************** skeleton: \Mirror(3,2)\TileAllRFC{2}(24,7)\Weight(9,6)\TileAllRFC{2}(69,17)\Weight(8,12)\Unlabel(3,5)\Unlabel(1,2)\Rfcmatchbound{1}[] ************************************************** let {} in let {trac = False;done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 10000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,unlabel = False})) (Worker Remap));when_small = \ m -> And_Then (Worker (SizeAtmost 1000)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;solver = Minisatapi;qpi = \ dim bits -> weighted (when_small (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));matrix = \ dom dim bits -> weighted (when_small (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,tracing = trac,solver = solver})));kbo = \ b -> weighted (when_small (Worker (KBO {bits = b,solver = solver})));mb = Worker (Matchbound {method = RFC,max_size = 100000});remove = First_Of ([ Worker (Weight {modus = mo})] <> ([ Seq [ qpi 2 4, qpi 3 4, qpi 4 4], Seq [ qpi 5 4, qpi 6 3, qpi 7 3]] <> ([ Seq [ matrix Arctic 2 5, matrix Arctic 3 4, matrix Arctic 4 3], Seq [ matrix Natural 2 5, matrix Natural 3 4, matrix Natural 4 3]] <> [ kbo 1, And_Then (Worker Mirror) (And_Then (kbo 1) (Worker Mirror))])));dp = As_Transformer (Apply (And_Then (Worker (DP {tracing = True})) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = True})) remove)));noh = [ Worker (Enumerate {closure = Forward}), Worker (Enumerate {closure = Backward})];yeah = Tree_Search_Preemptive 0 done ([ Worker (Weight {modus = mo}), mb, And_Then (Worker Mirror) mb, dp, And_Then (Worker Mirror) dp, tiling Forward 2, And_Then (Worker Mirror) (tiling Forward 2)] <> [ Worker (Unlabel {verbose = True})])} in Apply (Worker Remap) (Seq [ Worker KKST01, First_Of ([ yeah] <> noh)])