/export/starexec/sandbox2/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 4 rules on 2 letters mirror SRS with 4 rules on 2 letters tile all, by Config { method = Forward,width = 2,unlabel = False} SRS with 36 rules on 8 letters weights SRS with 15 rules on 8 letters unlabel 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 27 rules on 8 letters weights SRS with 15 rules on 8 letters mirror SRS with 15 rules on 8 letters tile all, by Config { method = Forward,width = 2,unlabel = False} SRS with 42 rules on 17 letters weights SRS with 14 rules on 9 letters unlabel SRS with 2 rules on 3 letters DP SRS with 2 strict rules and 2 weak rules on 4 letters weights SRS with 0 strict rules and 2 weak rules on 3 letters EDG ************************************************** proof ************************************************** property Termination has value Just True for SRS [a, b, b, b] -> [b, b, b, b] {- Input 0 -} [b, b, b, a] -> [b, a, b, a] {- Input 1 -} [b, b, a, a] -> [b, a, b, a] {- Input 2 -} [a, a, a, b] -> [a, b, a, a] {- Input 3 -} reason mirror property Termination has value Just True for SRS [b, b, b, a] -> [b, b, b, b] {- Mirror (Input 0) -} [a, b, b, b] -> [a, b, a, b] {- Mirror (Input 1) -} [a, a, b, b] -> [a, b, a, b] {- Mirror (Input 2) -} [b, a, a, a] -> [a, a, b, a] {- Mirror (Input 3) -} 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 8 tiles tile all rules steps: 0 property Termination has value Just True for SRS [[<, b], [b, b], [b, b], [b, a], [a, >]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 0))) -} [[<, b], [b, b], [b, b], [b, a], [a, a]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 0))) -} [[<, b], [b, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 0))) -} [[a, b], [b, b], [b, b], [b, a], [a, >]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 0))) -} [[a, b], [b, b], [b, b], [b, a], [a, a]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 0))) -} [[a, b], [b, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 0))) -} [[b, b], [b, b], [b, b], [b, a], [a, >]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 0))) -} [[b, b], [b, b], [b, b], [b, a], [a, a]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 0))) -} [[b, b], [b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 0))) -} [[<, a], [a, b], [b, b], [b, b], [b, >]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 1))) -} [[<, a], [a, b], [b, b], [b, b], [b, a]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 1))) -} [[<, a], [a, b], [b, b], [b, b], [b, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 1))) -} [[a, a], [a, b], [b, b], [b, b], [b, >]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 1))) -} [[a, a], [a, b], [b, b], [b, b], [b, a]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 1))) -} [[a, a], [a, b], [b, b], [b, b], [b, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 1))) -} [[b, a], [a, b], [b, b], [b, b], [b, >]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 1))) -} [[b, a], [a, b], [b, b], [b, b], [b, a]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 1))) -} [[b, a], [a, b], [b, b], [b, b], [b, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 1))) -} [[<, a], [a, a], [a, b], [b, b], [b, >]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 2))) -} [[<, a], [a, a], [a, b], [b, b], [b, a]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 2))) -} [[<, a], [a, a], [a, b], [b, b], [b, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -} [[a, a], [a, a], [a, b], [b, b], [b, >]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 2))) -} [[a, a], [a, a], [a, b], [b, b], [b, a]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 2))) -} [[a, a], [a, a], [a, b], [b, b], [b, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -} [[b, a], [a, a], [a, b], [b, b], [b, >]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 2))) -} [[b, a], [a, a], [a, b], [b, b], [b, a]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 2))) -} [[b, a], [a, a], [a, b], [b, b], [b, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -} [[<, b], [b, a], [a, a], [a, a], [a, >]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -} [[<, b], [b, a], [a, a], [a, a], [a, a]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 3))) -} [[<, b], [b, a], [a, a], [a, a], [a, b]] -> [ [<, a] , [a, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 3))) -} [[a, b], [b, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -} [[a, b], [b, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 3))) -} [[a, b], [b, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 3))) -} [[b, b], [b, a], [a, a], [a, a], [a, >]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -} [[b, b], [b, a], [a, a], [a, a], [a, a]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 3))) -} [[b, b], [b, a], [a, a], [a, a], [a, b]] -> [ [b, a] , [a, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 3))) -} reason ([<, b], 3/1) ([a, >], 3/1) ([a, a], 18/1) property Termination has value Just True for SRS [[<, b], [b, b], [b, b], [b, a], [a, b]] -> [ [<, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 0))) -} [[a, b], [b, b], [b, b], [b, a], [a, b]] -> [ [a, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 0))) -} [[b, b], [b, b], [b, b], [b, a], [a, b]] -> [ [b, b] , [b, b] , [b, b] , [b, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 0))) -} [[<, a], [a, b], [b, b], [b, b], [b, >]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 1))) -} [[<, a], [a, b], [b, b], [b, b], [b, a]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 1))) -} [[<, a], [a, b], [b, b], [b, b], [b, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 1))) -} [[a, a], [a, b], [b, b], [b, b], [b, >]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 1))) -} [[a, a], [a, b], [b, b], [b, b], [b, a]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 1))) -} [[a, a], [a, b], [b, b], [b, b], [b, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 1))) -} [[b, a], [a, b], [b, b], [b, b], [b, >]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 1))) -} [[b, a], [a, b], [b, b], [b, b], [b, a]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 1))) -} [[b, a], [a, b], [b, b], [b, b], [b, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 1))) -} [[a, b], [b, a], [a, a], [a, a], [a, >]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -} [[a, b], [b, a], [a, a], [a, a], [a, a]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 3))) -} [[a, b], [b, a], [a, a], [a, a], [a, b]] -> [ [a, a] , [a, a] , [a, b] , [b, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 3))) -} reason unlabel property Termination has value Just True for SRS [0, 0, 0, 1] -> [0, 0, 0, 0] {- Mirror (Input 0) -} [1, 0, 0, 0] -> [1, 0, 1, 0] {- Mirror (Input 1) -} [0, 1, 1, 1] -> [1, 1, 0, 1] {- Mirror (Input 3) -} reason mirror property Termination has value Just True for SRS [1, 0, 0, 0] -> [0, 0, 0, 0] {- Input 0 -} [0, 0, 0, 1] -> [0, 1, 0, 1] {- Input 1 -} [1, 1, 1, 0] -> [1, 0, 1, 1] {- Input 3 -} 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 8 tiles tile all rules steps: 0 property Termination has value Just True for SRS [[<, 1], [1, 0], [0, 0], [0, 0], [0, >]] -> [ [<, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , > ] ] {- Semlab 0 (Concon 0 (Input 0)) -} [[<, 1], [1, 0], [0, 0], [0, 0], [0, 0]] -> [ [<, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 0 ] ] {- Semlab 0 (Concon 1 (Input 0)) -} [[<, 1], [1, 0], [0, 0], [0, 0], [0, 1]] -> [ [<, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 1 ] ] {- Semlab 0 (Concon 2 (Input 0)) -} [[0, 1], [1, 0], [0, 0], [0, 0], [0, >]] -> [ [0, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -} [[0, 1], [1, 0], [0, 0], [0, 0], [0, 0]] -> [ [0, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 0 ] ] {- Semlab 1 (Concon 1 (Input 0)) -} [[0, 1], [1, 0], [0, 0], [0, 0], [0, 1]] -> [ [0, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 1 ] ] {- Semlab 1 (Concon 2 (Input 0)) -} [[1, 1], [1, 0], [0, 0], [0, 0], [0, >]] -> [ [1, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , > ] ] {- Semlab 2 (Concon 0 (Input 0)) -} [[1, 1], [1, 0], [0, 0], [0, 0], [0, 0]] -> [ [1, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 0 ] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[1, 1], [1, 0], [0, 0], [0, 0], [0, 1]] -> [ [1, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 1 ] ] {- Semlab 2 (Concon 2 (Input 0)) -} [[<, 0], [0, 0], [0, 0], [0, 1], [1, >]] -> [ [<, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, 0], [0, 0], [0, 0], [0, 1], [1, 0]] -> [ [<, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, 0], [0, 0], [0, 0], [0, 1], [1, 1]] -> [ [<, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[0, 0], [0, 0], [0, 0], [0, 1], [1, >]] -> [ [0, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]] -> [ [0, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[0, 0], [0, 0], [0, 0], [0, 1], [1, 1]] -> [ [0, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[1, 0], [0, 0], [0, 0], [0, 1], [1, >]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[1, 0], [0, 0], [0, 0], [0, 1], [1, 0]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[1, 0], [0, 0], [0, 0], [0, 1], [1, 1]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[<, 1], [1, 1], [1, 1], [1, 0], [0, >]] -> [ [<, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , > ] ] {- Semlab 0 (Concon 0 (Input 3)) -} [[<, 1], [1, 1], [1, 1], [1, 0], [0, 0]] -> [ [<, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 0 ] ] {- Semlab 0 (Concon 1 (Input 3)) -} [[<, 1], [1, 1], [1, 1], [1, 0], [0, 1]] -> [ [<, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 1 ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[0, 1], [1, 1], [1, 1], [1, 0], [0, >]] -> [ [0, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , > ] ] {- Semlab 1 (Concon 0 (Input 3)) -} [[0, 1], [1, 1], [1, 1], [1, 0], [0, 0]] -> [ [0, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 0 ] ] {- Semlab 1 (Concon 1 (Input 3)) -} [[0, 1], [1, 1], [1, 1], [1, 0], [0, 1]] -> [ [0, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 1 ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[1, 1], [1, 1], [1, 1], [1, 0], [0, >]] -> [ [1, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , > ] ] {- Semlab 2 (Concon 0 (Input 3)) -} [[1, 1], [1, 1], [1, 1], [1, 0], [0, 0]] -> [ [1, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 0 ] ] {- Semlab 2 (Concon 1 (Input 3)) -} [[1, 1], [1, 1], [1, 1], [1, 0], [0, 1]] -> [ [1, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 1 ] ] {- Semlab 2 (Concon 2 (Input 3)) -} reason ([<, 1], 3/1) ([0, >], 3/1) ([1, 1], 9/1) property Termination has value Just True for SRS [[0, 1], [1, 0], [0, 0], [0, 0], [0, >]] -> [ [0, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -} [[0, 1], [1, 0], [0, 0], [0, 0], [0, 0]] -> [ [0, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 0 ] ] {- Semlab 1 (Concon 1 (Input 0)) -} [[0, 1], [1, 0], [0, 0], [0, 0], [0, 1]] -> [ [0, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 1 ] ] {- Semlab 1 (Concon 2 (Input 0)) -} [[<, 0], [0, 0], [0, 0], [0, 1], [1, >]] -> [ [<, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, 0], [0, 0], [0, 0], [0, 1], [1, 0]] -> [ [<, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Semlab 0 (Concon 1 (Input 1)) -} [[<, 0], [0, 0], [0, 0], [0, 1], [1, 1]] -> [ [<, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 0 (Concon 2 (Input 1)) -} [[0, 0], [0, 0], [0, 0], [0, 1], [1, >]] -> [ [0, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -} [[0, 0], [0, 0], [0, 0], [0, 1], [1, 0]] -> [ [0, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Semlab 1 (Concon 1 (Input 1)) -} [[0, 0], [0, 0], [0, 0], [0, 1], [1, 1]] -> [ [0, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 1 (Concon 2 (Input 1)) -} [[1, 0], [0, 0], [0, 0], [0, 1], [1, >]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -} [[1, 0], [0, 0], [0, 0], [0, 1], [1, 0]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Semlab 2 (Concon 1 (Input 1)) -} [[1, 0], [0, 0], [0, 0], [0, 1], [1, 1]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 2 (Concon 2 (Input 1)) -} [[<, 1], [1, 1], [1, 1], [1, 0], [0, 1]] -> [ [<, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 1 ] ] {- Semlab 0 (Concon 2 (Input 3)) -} [[0, 1], [1, 1], [1, 1], [1, 0], [0, 1]] -> [ [0, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 1 ] ] {- Semlab 1 (Concon 2 (Input 3)) -} [[1, 1], [1, 1], [1, 1], [1, 0], [0, 1]] -> [ [1, 1] , [1, 0] , [0, 1] , [1, 1] , [ 1 , 1 ] ] {- Semlab 2 (Concon 2 (Input 3)) -} reason mirror property Termination has value Just True for SRS [[0, >], [0, 0], [0, 0], [1, 0], [0, 1]] -> [ [0, >] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 0 ] ] {- Mirror (Semlab 1 (Concon 0 (Input 0))) -} [[0, 0], [0, 0], [0, 0], [1, 0], [0, 1]] -> [ [0, 0] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 0 ] ] {- Mirror (Semlab 1 (Concon 1 (Input 0))) -} [[0, 1], [0, 0], [0, 0], [1, 0], [0, 1]] -> [ [0, 1] , [0, 0] , [0, 0] , [0, 0] , [ 0 , 0 ] ] {- Mirror (Semlab 1 (Concon 2 (Input 0))) -} [[1, >], [0, 1], [0, 0], [0, 0], [<, 0]] -> [ [1, >] , [0, 1] , [1, 0] , [0, 1] , [ < , 0 ] ] {- Mirror (Semlab 0 (Concon 0 (Input 1))) -} [[1, 0], [0, 1], [0, 0], [0, 0], [<, 0]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ < , 0 ] ] {- Mirror (Semlab 0 (Concon 1 (Input 1))) -} [[1, 1], [0, 1], [0, 0], [0, 0], [<, 0]] -> [ [1, 1] , [0, 1] , [1, 0] , [0, 1] , [ < , 0 ] ] {- Mirror (Semlab 0 (Concon 2 (Input 1))) -} [[1, >], [0, 1], [0, 0], [0, 0], [0, 0]] -> [ [1, >] , [0, 1] , [1, 0] , [0, 1] , [ 0 , 0 ] ] {- Mirror (Semlab 1 (Concon 0 (Input 1))) -} [[1, 0], [0, 1], [0, 0], [0, 0], [0, 0]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ 0 , 0 ] ] {- Mirror (Semlab 1 (Concon 1 (Input 1))) -} [[1, 1], [0, 1], [0, 0], [0, 0], [0, 0]] -> [ [1, 1] , [0, 1] , [1, 0] , [0, 1] , [ 0 , 0 ] ] {- Mirror (Semlab 1 (Concon 2 (Input 1))) -} [[1, >], [0, 1], [0, 0], [0, 0], [1, 0]] -> [ [1, >] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Mirror (Semlab 2 (Concon 0 (Input 1))) -} [[1, 0], [0, 1], [0, 0], [0, 0], [1, 0]] -> [ [1, 0] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Mirror (Semlab 2 (Concon 1 (Input 1))) -} [[1, 1], [0, 1], [0, 0], [0, 0], [1, 0]] -> [ [1, 1] , [0, 1] , [1, 0] , [0, 1] , [ 1 , 0 ] ] {- Mirror (Semlab 2 (Concon 2 (Input 1))) -} [[0, 1], [1, 0], [1, 1], [1, 1], [<, 1]] -> [ [1, 1] , [1, 1] , [0, 1] , [1, 0] , [ < , 1 ] ] {- Mirror (Semlab 0 (Concon 2 (Input 3))) -} [[0, 1], [1, 0], [1, 1], [1, 1], [0, 1]] -> [ [1, 1] , [1, 1] , [0, 1] , [1, 0] , [ 0 , 1 ] ] {- Mirror (Semlab 1 (Concon 2 (Input 3))) -} [[0, 1], [1, 0], [1, 1], [1, 1], [1, 1]] -> [ [1, 1] , [1, 1] , [0, 1] , [1, 0] , [ 1 , 1 ] ] {- Mirror (Semlab 2 (Concon 2 (Input 3))) -} 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 24 tiles tile all rules steps: 1 property Termination has value Just True for SRS [ [<, [1, >]] , [[1, >], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], >] ] -> [ [<, [1, >]] , [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 0 (Input 1))))) -} [ [<, [1, >]] , [[1, >], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] ] -> [ [<, [1, >]] , [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , [ 0 , 0 ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 0 (Input 1))))) -} [ [<, [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], >] ] -> [ [<, [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [<, [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] ] -> [ [<, [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , [ 0 , 0 ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], >] ] -> [ [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] ] -> [ [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , [ 0 , 0 ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [<, [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], >] ] -> [ [<, [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 1))))) -} [ [<, [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] ] -> [ [<, [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , [ 0 , 0 ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 1))))) -} [ [[1, 0], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], >] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 1))))) -} [ [[1, 0], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , [ 0 , 0 ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 1))))) -} [ [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], >] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 1))))) -} [ [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , [ 0 , 0 ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 1))))) -} [ [[1, >], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], >] ] -> [ [[1, >], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , > ] ] {- Semlab 3 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 1))))) -} [ [[1, >], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] , [[0, 0], [0, 0]] ] -> [ [[1, >], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [[0, 1], [0, 0]] , [ [0, 0] , [ 0 , 0 ] ] ] {- Semlab 3 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 1))))) -} [ [<, [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], >] ] -> [ [<, [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [<, [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] ] -> [ [<, [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 1 , 0 ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [<, [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] ] -> [ [<, [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 0 , 0 ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [<, [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [<, 0]] ] -> [ [<, [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ < , 0 ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], >] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 1 , 0 ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 0 , 0 ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [<, 0]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ < , 0 ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], >] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 1 , 0 ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 0 , 0 ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [<, 0]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ < , 0 ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], >] ] -> [ [[1, >], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , > ] ] {- Semlab 3 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] ] -> [ [[1, >], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 1 , 0 ] ] ] {- Semlab 3 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] ] -> [ [[1, >], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 0 , 0 ] ] ] {- Semlab 3 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [<, 0]] ] -> [ [[1, >], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ < , 0 ] ] ] {- Semlab 3 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [<, [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], >] ] -> [ [<, [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [<, [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] ] -> [ [<, [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 0 , 1 ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [<, [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] ] -> [ [<, [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 1 , 1 ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], >] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 0 , 1 ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 1 , 1 ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], >] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 0 , 1 ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 1 , 1 ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], >] ] -> [ [[1, >], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , > ] ] {- Semlab 3 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] ] -> [ [[1, >], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 0 , 1 ] ] ] {- Semlab 3 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, >], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] ] -> [ [[1, >], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 1 , 1 ] ] ] {- Semlab 3 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} reason ([[1, >], [0, 1]], 7/1) ([[0, 0], [0, 0]], 14/1) ([<, [0, 1]], 7/1) property Termination has value Just True for SRS [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], >] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 1 , 0 ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 0 , 0 ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [<, 0]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ < , 0 ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], >] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 1 , 0 ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [0, 0]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ 0 , 0 ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [<, 0]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [0, 1]] , [ [0, 1] , [ < , 0 ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], >] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 0 , 1 ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 0], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] ] -> [ [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 1 , 1 ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], >] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 0 , 1 ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} [ [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [1, 1]] ] -> [ [[1, 1], [1, 1]] , [[1, 1], [1, 1]] , [[1, 1], [0, 1]] , [[0, 1], [1, 0]] , [[1, 0], [1, 1]] , [ [1, 1] , [ 1 , 1 ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 3))))) -} reason unlabel property Termination has value Just True for SRS [3, 2, 6, 6, 3] -> [6, 6, 3, 2, 3] {- Mirror (Semlab 1 (Concon 2 (Input 3))) -} [3, 2, 6, 6, 6] -> [6, 6, 3, 2, 6] {- Mirror (Semlab 2 (Concon 2 (Input 3))) -} reason DP property Termination has value Just True for SRS [3, 2, 6, 6, 3] ->= [ 6 , 6 , 3 , 2 , 3 ] {- DP Nontop (Mirror (Semlab 1 (Concon 2 (Input 3)))) -} [3, 2, 6, 6, 6] ->= [ 6 , 6 , 3 , 2 , 6 ] {- DP Nontop (Mirror (Semlab 2 (Concon 2 (Input 3)))) -} [3#, 2, 6, 6, 3] |-> [ 3# , 2 , 3 ] {- DP (Top 2) (Mirror (Semlab 1 (Concon 2 (Input 3)))) -} [3#, 2, 6, 6, 6] |-> [ 3# , 2 , 6 ] {- DP (Top 2) (Mirror (Semlab 2 (Concon 2 (Input 3)))) -} reason (6, 2/1) property Termination has value Just True for SRS [3, 2, 6, 6, 3] ->= [ 6 , 6 , 3 , 2 , 3 ] {- DP Nontop (Mirror (Semlab 1 (Concon 2 (Input 3)))) -} [3, 2, 6, 6, 6] ->= [ 6 , 6 , 3 , 2 , 6 ] {- DP Nontop (Mirror (Semlab 2 (Concon 2 (Input 3)))) -} reason EDG ************************************************** skeleton: \Mirror(4,2)\TileAllRFC{2}(36,8)\Weight(15,8)\Unlabel\Mirror(3,2)\TileAllRFC{2}(27,8)\Weight\Mirror(15,8)\TileAllRFC{2}(42,17)\Weight(14,9)\Unlabel(2,3)\Deepee(2/2,4)\Weight(0/2,3)\EDG[] ************************************************** 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)])