/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 11 rules on 6 letters weights SRS with 6 rules on 5 letters mirror SRS with 6 rules on 5 letters tile all, by Config { method = Forward,width = 2,unlabel = False} SRS with 125 rules on 25 letters weights SRS with 115 rules on 20 letters unlabel SRS with 5 rules on 4 letters mirror SRS with 5 rules on 4 letters Matchbound { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 2 certified by automaton with 217 states ************************************************** proof ************************************************** property Termination has value Just True for SRS [thrice, 0] -> [p, s, p, p, p, s, s, s, 0, p, s, p, s] {- Input 0 -} [thrice, s] -> [ p , p , s , s , half , p , p , s , s , p , s , sixtimes , p , s , p , p , s , s ] {- Input 1 -} [half, 0] -> [p, p, s, s, p, s, 0, p, s, s, s, s] {- Input 2 -} [half, s] -> [ p , s , p , p , s , s , p , p , s , s , half , p , p , s , s , p , s ] {- Input 3 -} [half, s, s] -> [ p , s , p , s , s , p , p , s , s , half , p , p , s , s , p , s ] {- Input 4 -} [sixtimes, 0] -> [p, s, p, s, 0, s, s, s, s, s, p, s, p, s] {- Input 5 -} [sixtimes, s] -> [ p , p , s , s , s , s , s , s , s , p , p , s , p , s , s , s , sixtimes , p , s , p , p , p , s , s , s ] {- Input 6 -} [p, p, s] -> [p] {- Input 7 -} [p, s] -> [] {- Input 8 -} [p, 0] -> [0, s, s, s, s] {- Input 9 -} [0] -> [] {- Input 10 -} reason (thrice, 6/1) (0, 3/1) (half, 1/1) (sixtimes, 1/1) property Termination has value Just True for SRS [half, s] -> [ p , s , p , p , s , s , p , p , s , s , half , p , p , s , s , p , s ] {- Input 3 -} [half, s, s] -> [ p , s , p , s , s , p , p , s , s , half , p , p , s , s , p , s ] {- Input 4 -} [sixtimes, s] -> [ p , p , s , s , s , s , s , s , s , p , p , s , p , s , s , s , sixtimes , p , s , p , p , p , s , s , s ] {- Input 6 -} [p, p, s] -> [p] {- Input 7 -} [p, s] -> [] {- Input 8 -} [p, 0] -> [0, s, s, s, s] {- Input 9 -} reason mirror property Termination has value Just True for SRS [s, half] -> [ s , p , s , s , p , p , half , s , s , p , p , s , s , p , p , s , p ] {- Mirror (Input 3) -} [s, s, half] -> [ s , p , s , s , p , p , half , s , s , p , p , s , s , p , s , p ] {- Mirror (Input 4) -} [s, sixtimes] -> [ s , s , s , p , p , p , s , p , sixtimes , s , s , s , p , s , p , p , s , s , s , s , s , s , s , p , p ] {- Mirror (Input 6) -} [s, p, p] -> [p] {- Mirror (Input 7) -} [s, p] -> [] {- Mirror (Input 8) -} [0, p] -> [s, s, s, s, 0] {- Mirror (Input 9) -} 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 27 tiles tile all rules steps: 1 property Termination has value Just True for SRS [[<, s], [s, half], [half, >]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -} [[<, s], [s, half], [half, p]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Mirror (Input 3))) -} [[<, s], [s, half], [half, s]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 3))) -} [[<, s], [s, half], [half, half]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 0 (Concon 3 (Mirror (Input 3))) -} [[<, s], [s, half], [half, sixtimes]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 0 (Concon 4 (Mirror (Input 3))) -} [[p, s], [s, half], [half, >]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -} [[p, s], [s, half], [half, p]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 3))) -} [[p, s], [s, half], [half, s]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 3))) -} [[p, s], [s, half], [half, half]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 3))) -} [[p, s], [s, half], [half, sixtimes]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 3))) -} [[s, s], [s, half], [half, >]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -} [[s, s], [s, half], [half, p]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 3))) -} [[s, s], [s, half], [half, s]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 3))) -} [[s, s], [s, half], [half, half]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 3))) -} [[s, s], [s, half], [half, sixtimes]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 3))) -} [[half, s], [s, half], [half, >]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 3))) -} [[half, s], [s, half], [half, p]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 3))) -} [[half, s], [s, half], [half, s]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 3))) -} [[half, s], [s, half], [half, half]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 3))) -} [[half, s], [s, half], [half, sixtimes]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, >]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, p]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, s]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, half]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, sixtimes]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 3))) -} [[<, s], [s, s], [s, half], [half, >]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 4))) -} [[<, s], [s, s], [s, half], [half, p]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Mirror (Input 4))) -} [[<, s], [s, s], [s, half], [half, s]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 4))) -} [[<, s], [s, s], [s, half], [half, half]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 0 (Concon 3 (Mirror (Input 4))) -} [[<, s], [s, s], [s, half], [half, sixtimes]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 0 (Concon 4 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, >]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, p]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, s]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, half]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, sixtimes]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, >]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, p]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, s]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, half]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, sixtimes]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, >]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, p]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, s]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, half]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, sixtimes]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, >]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, p]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, s]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, half]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, sixtimes]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 4))) -} [[<, s], [s, sixtimes], [sixtimes, >]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 6))) -} [[<, s], [s, sixtimes], [sixtimes, p]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Mirror (Input 6))) -} [[<, s], [s, sixtimes], [sixtimes, s]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 6))) -} [[<, s], [s, sixtimes], [sixtimes, half]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 0 (Concon 3 (Mirror (Input 6))) -} [[<, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 0 (Concon 4 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, >]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, p]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, s]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, half]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, >]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, p]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, s]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, half]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, >]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, p]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, s]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, half]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, >]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, p]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, s]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, half]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 6))) -} [[<, s], [s, p], [p, p], [p, >]] -> [ [<, p] , [ p , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 7))) -} [[<, s], [s, p], [p, p], [p, p]] -> [ [<, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Mirror (Input 7))) -} [[<, s], [s, p], [p, p], [p, s]] -> [ [<, p] , [ p , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 7))) -} [[<, s], [s, p], [p, p], [p, half]] -> [ [<, p] , [ p , half ] ] {- Semlab 0 (Concon 3 (Mirror (Input 7))) -} [[<, s], [s, p], [p, p], [p, sixtimes]] -> [ [<, p] , [ p , sixtimes ] ] {- Semlab 0 (Concon 4 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, >]] -> [ [p, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, p]] -> [ [p, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, s]] -> [ [p, p] , [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, half]] -> [ [p, p] , [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, sixtimes]] -> [ [p, p] , [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, >]] -> [ [s, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, p]] -> [ [s, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, s]] -> [ [s, p] , [ p , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, half]] -> [ [s, p] , [ p , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, sixtimes]] -> [ [s, p] , [ p , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, >]] -> [ [half, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, p]] -> [ [half, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, s]] -> [ [half, p] , [ p , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, half]] -> [ [half, p] , [ p , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, sixtimes]] -> [ [half, p] , [ p , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, >]] -> [ [sixtimes, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, p]] -> [ [sixtimes, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, s]] -> [ [sixtimes, p] , [ p , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, half]] -> [ [sixtimes, p] , [ p , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, sixtimes]] -> [ [sixtimes, p] , [ p , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 7))) -} [[<, s], [s, p], [p, >]] -> [ [ < , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 8))) -} [[<, s], [s, p], [p, p]] -> [ [ < , p ] ] {- Semlab 0 (Concon 1 (Mirror (Input 8))) -} [[<, s], [s, p], [p, s]] -> [ [ < , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 8))) -} [[<, s], [s, p], [p, half]] -> [ [ < , half ] ] {- Semlab 0 (Concon 3 (Mirror (Input 8))) -} [[<, s], [s, p], [p, sixtimes]] -> [ [ < , sixtimes ] ] {- Semlab 0 (Concon 4 (Mirror (Input 8))) -} [[p, s], [s, p], [p, >]] -> [ [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 8))) -} [[p, s], [s, p], [p, p]] -> [ [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 8))) -} [[p, s], [s, p], [p, s]] -> [ [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 8))) -} [[p, s], [s, p], [p, half]] -> [ [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 8))) -} [[p, s], [s, p], [p, sixtimes]] -> [ [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 8))) -} [[s, s], [s, p], [p, >]] -> [ [ s , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 8))) -} [[s, s], [s, p], [p, p]] -> [ [ s , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 8))) -} [[s, s], [s, p], [p, s]] -> [ [ s , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 8))) -} [[s, s], [s, p], [p, half]] -> [ [ s , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 8))) -} [[s, s], [s, p], [p, sixtimes]] -> [ [ s , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 8))) -} [[half, s], [s, p], [p, >]] -> [ [ half , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 8))) -} [[half, s], [s, p], [p, p]] -> [ [ half , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 8))) -} [[half, s], [s, p], [p, s]] -> [ [ half , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 8))) -} [[half, s], [s, p], [p, half]] -> [ [ half , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 8))) -} [[half, s], [s, p], [p, sixtimes]] -> [ [ half , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, >]] -> [ [ sixtimes , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, p]] -> [ [ sixtimes , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, s]] -> [ [ sixtimes , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, half]] -> [ [ sixtimes , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, sixtimes]] -> [ [ sixtimes , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 8))) -} reason ([<, s], 1/1) ([half, >], 1/1) ([p, >], 1/1) ([sixtimes, >], 1/1) property Termination has value Just True for SRS [[<, s], [s, half], [half, >]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -} [[<, s], [s, half], [half, p]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Mirror (Input 3))) -} [[<, s], [s, half], [half, s]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 3))) -} [[<, s], [s, half], [half, half]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 0 (Concon 3 (Mirror (Input 3))) -} [[<, s], [s, half], [half, sixtimes]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 0 (Concon 4 (Mirror (Input 3))) -} [[p, s], [s, half], [half, >]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -} [[p, s], [s, half], [half, p]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 3))) -} [[p, s], [s, half], [half, s]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 3))) -} [[p, s], [s, half], [half, half]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 3))) -} [[p, s], [s, half], [half, sixtimes]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 3))) -} [[s, s], [s, half], [half, >]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -} [[s, s], [s, half], [half, p]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 3))) -} [[s, s], [s, half], [half, s]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 3))) -} [[s, s], [s, half], [half, half]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 3))) -} [[s, s], [s, half], [half, sixtimes]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 3))) -} [[half, s], [s, half], [half, >]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 3))) -} [[half, s], [s, half], [half, p]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 3))) -} [[half, s], [s, half], [half, s]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 3))) -} [[half, s], [s, half], [half, half]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 3))) -} [[half, s], [s, half], [half, sixtimes]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, >]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, p]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, s]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, half]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 3))) -} [[sixtimes, s], [s, half], [half, sixtimes]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 3))) -} [[<, s], [s, s], [s, half], [half, >]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 4))) -} [[<, s], [s, s], [s, half], [half, p]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Mirror (Input 4))) -} [[<, s], [s, s], [s, half], [half, s]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 4))) -} [[<, s], [s, s], [s, half], [half, half]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 0 (Concon 3 (Mirror (Input 4))) -} [[<, s], [s, s], [s, half], [half, sixtimes]] -> [ [<, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 0 (Concon 4 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, >]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, p]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, s]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, half]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 4))) -} [[p, s], [s, s], [s, half], [half, sixtimes]] -> [ [p, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, >]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, p]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, s]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, half]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 4))) -} [[s, s], [s, s], [s, half], [half, sixtimes]] -> [ [s, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, >]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, p]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, s]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, half]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 4))) -} [[half, s], [s, s], [s, half], [half, sixtimes]] -> [ [half, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, >]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, p]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, s]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, half]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 4))) -} [[sixtimes, s], [s, s], [s, half], [half, sixtimes]] -> [ [sixtimes, s] , [s, p] , [p, s] , [s, s] , [s, p] , [p, p] , [p, half] , [half, s] , [s, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, p] , [p, s] , [s, p] , [ p , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 4))) -} [[<, s], [s, sixtimes], [sixtimes, >]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 6))) -} [[<, s], [s, sixtimes], [sixtimes, p]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 0 (Concon 1 (Mirror (Input 6))) -} [[<, s], [s, sixtimes], [sixtimes, s]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 6))) -} [[<, s], [s, sixtimes], [sixtimes, half]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 0 (Concon 3 (Mirror (Input 6))) -} [[<, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [<, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 0 (Concon 4 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, >]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, p]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, s]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, half]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 6))) -} [[p, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [p, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, >]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, p]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, s]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, half]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 6))) -} [[s, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, >]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, p]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, s]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, half]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 6))) -} [[half, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [half, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, >]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, p]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, s]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, half]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 6))) -} [[sixtimes, s], [s, sixtimes], [sixtimes, sixtimes]] -> [ [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, p] , [p, p] , [p, s] , [s, p] , [p, sixtimes] , [sixtimes, s] , [s, s] , [s, s] , [s, p] , [p, s] , [s, p] , [p, p] , [p, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, s] , [s, p] , [p, p] , [ p , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 6))) -} [[p, s], [s, p], [p, p], [p, >]] -> [ [p, p] , [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, p]] -> [ [p, p] , [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, s]] -> [ [p, p] , [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, half]] -> [ [p, p] , [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 7))) -} [[p, s], [s, p], [p, p], [p, sixtimes]] -> [ [p, p] , [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, >]] -> [ [s, p] , [ p , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, p]] -> [ [s, p] , [ p , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, s]] -> [ [s, p] , [ p , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, half]] -> [ [s, p] , [ p , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 7))) -} [[s, s], [s, p], [p, p], [p, sixtimes]] -> [ [s, p] , [ p , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, >]] -> [ [half, p] , [ p , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, p]] -> [ [half, p] , [ p , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, s]] -> [ [half, p] , [ p , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, half]] -> [ [half, p] , [ p , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 7))) -} [[half, s], [s, p], [p, p], [p, sixtimes]] -> [ [half, p] , [ p , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, >]] -> [ [sixtimes, p] , [ p , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, p]] -> [ [sixtimes, p] , [ p , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, s]] -> [ [sixtimes, p] , [ p , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, half]] -> [ [sixtimes, p] , [ p , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 7))) -} [[sixtimes, s], [s, p], [p, p], [p, sixtimes]] -> [ [sixtimes, p] , [ p , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 7))) -} [[<, s], [s, p], [p, s]] -> [ [ < , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 8))) -} [[p, s], [s, p], [p, >]] -> [ [ p , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 8))) -} [[p, s], [s, p], [p, p]] -> [ [ p , p ] ] {- Semlab 1 (Concon 1 (Mirror (Input 8))) -} [[p, s], [s, p], [p, s]] -> [ [ p , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 8))) -} [[p, s], [s, p], [p, half]] -> [ [ p , half ] ] {- Semlab 1 (Concon 3 (Mirror (Input 8))) -} [[p, s], [s, p], [p, sixtimes]] -> [ [ p , sixtimes ] ] {- Semlab 1 (Concon 4 (Mirror (Input 8))) -} [[s, s], [s, p], [p, p]] -> [ [ s , p ] ] {- Semlab 2 (Concon 1 (Mirror (Input 8))) -} [[s, s], [s, p], [p, s]] -> [ [ s , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 8))) -} [[s, s], [s, p], [p, half]] -> [ [ s , half ] ] {- Semlab 2 (Concon 3 (Mirror (Input 8))) -} [[s, s], [s, p], [p, sixtimes]] -> [ [ s , sixtimes ] ] {- Semlab 2 (Concon 4 (Mirror (Input 8))) -} [[half, s], [s, p], [p, >]] -> [ [ half , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 8))) -} [[half, s], [s, p], [p, p]] -> [ [ half , p ] ] {- Semlab 3 (Concon 1 (Mirror (Input 8))) -} [[half, s], [s, p], [p, s]] -> [ [ half , s ] ] {- Semlab 3 (Concon 2 (Mirror (Input 8))) -} [[half, s], [s, p], [p, half]] -> [ [ half , half ] ] {- Semlab 3 (Concon 3 (Mirror (Input 8))) -} [[half, s], [s, p], [p, sixtimes]] -> [ [ half , sixtimes ] ] {- Semlab 3 (Concon 4 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, >]] -> [ [ sixtimes , > ] ] {- Semlab 4 (Concon 0 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, p]] -> [ [ sixtimes , p ] ] {- Semlab 4 (Concon 1 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, s]] -> [ [ sixtimes , s ] ] {- Semlab 4 (Concon 2 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, half]] -> [ [ sixtimes , half ] ] {- Semlab 4 (Concon 3 (Mirror (Input 8))) -} [[sixtimes, s], [s, p], [p, sixtimes]] -> [ [ sixtimes , sixtimes ] ] {- Semlab 4 (Concon 4 (Mirror (Input 8))) -} reason unlabel property Termination has value Just True for SRS [0, 1] -> [ 0 , 2 , 0 , 0 , 2 , 2 , 1 , 0 , 0 , 2 , 2 , 0 , 0 , 2 , 2 , 0 , 2 ] {- Mirror (Input 3) -} [0, 0, 1] -> [ 0 , 2 , 0 , 0 , 2 , 2 , 1 , 0 , 0 , 2 , 2 , 0 , 0 , 2 , 0 , 2 ] {- Mirror (Input 4) -} [0, 3] -> [ 0 , 0 , 0 , 2 , 2 , 2 , 0 , 2 , 3 , 0 , 0 , 0 , 2 , 0 , 2 , 2 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 2 ] {- Mirror (Input 6) -} [0, 2, 2] -> [2] {- Mirror (Input 7) -} [0, 2] -> [] {- Mirror (Input 8) -} reason mirror property Termination has value Just True for SRS [1, 0] -> [2, 0, 2, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0] {- Input 3 -} [1, 0, 0] -> [2, 0, 2, 0, 0, 2, 2, 0, 0, 1, 2, 2, 0, 0, 2, 0] {- Input 4 -} [3, 0] -> [ 2 , 2 , 0 , 0 , 0 , 0 , 0 , 0 , 0 , 2 , 2 , 0 , 2 , 0 , 0 , 0 , 3 , 2 , 0 , 2 , 2 , 2 , 0 , 0 , 0 ] {- Input 6 -} [2, 2, 0] -> [2] {- Input 7 -} [2, 0] -> [] {- Input 8 -} reason Matchbound Matchbound { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 2 certified by automaton with 217 states ************************************************** skeleton: (11,6)\Weight\Mirror(6,5)\TileAllRFC{2}(125,25)\Weight(115,20)\Unlabel\Mirror(5,4)\Rfcmatchbound{2}[] ************************************************** 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)])