/export/starexec/sandbox/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files -------------------------------------------------------------------------------- YES ************************************************** summary ************************************************** SRS with 3 rules on 3 letters tile all, by Config { method = Forward,width = 2,unlabel = False} SRS with 24 rules on 13 letters weights SRS with 16 rules on 9 letters mirror SRS with 16 rules on 9 letters tile all, by Config { method = Forward,width = 2,unlabel = False} SRS with 148 rules on 34 letters weights SRS with 57 rules on 21 letters unlabel SRS with 13 rules on 8 letters DP SRS with 26 strict rules and 13 weak rules on 12 letters EDG SRS with 24 strict rules and 13 weak rules on 12 letters Matrix { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = False} SRS with 0 strict rules and 13 weak rules on 8 letters EDG ************************************************** proof ************************************************** property Termination has value Just True for SRS [a] -> [b, b, c] {- Input 0 -} [a, b] -> [] {- Input 1 -} [a, c, b] -> [a, a, a] {- Input 2 -} reason Tiling { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False} steps 2 using 14 tiles tile all rules steps: 2 property Termination has value Just True for SRS [[<, a], [a, >]] -> [ [<, b] , [b, b] , [b, c] , [c, >] ] {- Semlab 0 (Concon 0 (Input 0)) -} [[<, a], [a, a]] -> [ [<, b] , [b, b] , [b, c] , [c, a] ] {- Semlab 0 (Concon 1 (Input 0)) -} [[<, a], [a, b]] -> [ [<, b] , [b, b] , [b, c] , [c, b] ] {- Semlab 0 (Concon 2 (Input 0)) -} [[<, a], [a, c]] -> [ [<, b] , [b, b] , [b, c] , [c, c] ] {- Semlab 0 (Concon 3 (Input 0)) -} [[a, a], [a, >]] -> [ [a, b] , [b, b] , [b, c] , [c, >] ] {- Semlab 1 (Concon 0 (Input 0)) -} [[a, a], [a, a]] -> [ [a, b] , [b, b] , [b, c] , [c, a] ] {- Semlab 1 (Concon 1 (Input 0)) -} [[a, a], [a, b]] -> [ [a, b] , [b, b] , [b, c] , [c, b] ] {- Semlab 1 (Concon 2 (Input 0)) -} [[a, a], [a, c]] -> [ [a, b] , [b, b] , [b, c] , [c, c] ] {- Semlab 1 (Concon 3 (Input 0)) -} [[c, a], [a, >]] -> [ [c, b] , [b, b] , [b, c] , [c, >] ] {- Semlab 2 (Concon 0 (Input 0)) -} [[c, a], [a, a]] -> [ [c, b] , [b, b] , [b, c] , [c, a] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[c, a], [a, b]] -> [ [c, b] , [b, b] , [b, c] , [c, b] ] {- Semlab 2 (Concon 2 (Input 0)) -} [[c, a], [a, c]] -> [ [c, b] , [b, b] , [b, c] , [c, c] ] {- Semlab 2 (Concon 3 (Input 0)) -} [[<, a], [a, b], [b, b]] -> [[<, b]] {- Semlab 0 (Concon 0 (Input 1)) -} [[<, a], [a, b], [b, c]] -> [[<, c]] {- Semlab 0 (Concon 1 (Input 1)) -} [[a, a], [a, b], [b, b]] -> [[a, b]] {- Semlab 1 (Concon 0 (Input 1)) -} [[a, a], [a, b], [b, c]] -> [[a, c]] {- Semlab 1 (Concon 1 (Input 1)) -} [[c, a], [a, b], [b, b]] -> [[c, b]] {- Semlab 2 (Concon 0 (Input 1)) -} [[c, a], [a, b], [b, c]] -> [[c, c]] {- Semlab 2 (Concon 1 (Input 1)) -} [[<, a], [a, c], [c, b], [b, b]] -> [ [<, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, a], [a, c], [c, b], [b, c]] -> [ [<, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[a, a], [a, c], [c, b], [b, b]] -> [ [a, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[a, a], [a, c], [c, b], [b, c]] -> [ [a, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[c, a], [a, c], [c, b], [b, b]] -> [ [c, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[c, a], [a, c], [c, b], [b, c]] -> [ [c, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 1 (Input 2)) -} reason ([<, a], 6/1) ([a, >], 3/1) property Termination has value Just True for SRS [[a, a], [a, a]] -> [ [a, b] , [b, b] , [b, c] , [c, a] ] {- Semlab 1 (Concon 1 (Input 0)) -} [[a, a], [a, b]] -> [ [a, b] , [b, b] , [b, c] , [c, b] ] {- Semlab 1 (Concon 2 (Input 0)) -} [[a, a], [a, c]] -> [ [a, b] , [b, b] , [b, c] , [c, c] ] {- Semlab 1 (Concon 3 (Input 0)) -} [[c, a], [a, a]] -> [ [c, b] , [b, b] , [b, c] , [c, a] ] {- Semlab 2 (Concon 1 (Input 0)) -} [[c, a], [a, b]] -> [ [c, b] , [b, b] , [b, c] , [c, b] ] {- Semlab 2 (Concon 2 (Input 0)) -} [[c, a], [a, c]] -> [ [c, b] , [b, b] , [b, c] , [c, c] ] {- Semlab 2 (Concon 3 (Input 0)) -} [[a, a], [a, b], [b, b]] -> [[a, b]] {- Semlab 1 (Concon 0 (Input 1)) -} [[a, a], [a, b], [b, c]] -> [[a, c]] {- Semlab 1 (Concon 1 (Input 1)) -} [[c, a], [a, b], [b, b]] -> [[c, b]] {- Semlab 2 (Concon 0 (Input 1)) -} [[c, a], [a, b], [b, c]] -> [[c, c]] {- Semlab 2 (Concon 1 (Input 1)) -} [[<, a], [a, c], [c, b], [b, b]] -> [ [<, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 0 (Input 2)) -} [[<, a], [a, c], [c, b], [b, c]] -> [ [<, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 0 (Concon 1 (Input 2)) -} [[a, a], [a, c], [c, b], [b, b]] -> [ [a, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 0 (Input 2)) -} [[a, a], [a, c], [c, b], [b, c]] -> [ [a, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 1 (Input 2)) -} [[c, a], [a, c], [c, b], [b, b]] -> [ [c, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 0 (Input 2)) -} [[c, a], [a, c], [c, b], [b, c]] -> [ [c, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 1 (Input 2)) -} reason mirror property Termination has value Just True for SRS [[a, a], [a, a]] -> [ [c, a] , [b, c] , [b, b] , [a, b] ] {- Mirror (Semlab 1 (Concon 1 (Input 0))) -} [[a, b], [a, a]] -> [ [c, b] , [b, c] , [b, b] , [a, b] ] {- Mirror (Semlab 1 (Concon 2 (Input 0))) -} [[a, c], [a, a]] -> [ [c, c] , [b, c] , [b, b] , [a, b] ] {- Mirror (Semlab 1 (Concon 3 (Input 0))) -} [[a, a], [c, a]] -> [ [c, a] , [b, c] , [b, b] , [c, b] ] {- Mirror (Semlab 2 (Concon 1 (Input 0))) -} [[a, b], [c, a]] -> [ [c, b] , [b, c] , [b, b] , [c, b] ] {- Mirror (Semlab 2 (Concon 2 (Input 0))) -} [[a, c], [c, a]] -> [ [c, c] , [b, c] , [b, b] , [c, b] ] {- Mirror (Semlab 2 (Concon 3 (Input 0))) -} [[b, b], [a, b], [a, a]] -> [ [ a , b ] ] {- Mirror (Semlab 1 (Concon 0 (Input 1))) -} [[b, c], [a, b], [a, a]] -> [ [ a , c ] ] {- Mirror (Semlab 1 (Concon 1 (Input 1))) -} [[b, b], [a, b], [c, a]] -> [ [ c , b ] ] {- Mirror (Semlab 2 (Concon 0 (Input 1))) -} [[b, c], [a, b], [c, a]] -> [ [ c , c ] ] {- Mirror (Semlab 2 (Concon 1 (Input 1))) -} [[b, b], [c, b], [a, c], [<, a]] -> [ [a, b] , [a, a] , [a, a] , [ < , a ] ] {- Mirror (Semlab 0 (Concon 0 (Input 2))) -} [[b, c], [c, b], [a, c], [<, a]] -> [ [a, c] , [a, a] , [a, a] , [ < , a ] ] {- Mirror (Semlab 0 (Concon 1 (Input 2))) -} [[b, b], [c, b], [a, c], [a, a]] -> [ [a, b] , [a, a] , [a, a] , [ a , a ] ] {- Mirror (Semlab 1 (Concon 0 (Input 2))) -} [[b, c], [c, b], [a, c], [a, a]] -> [ [a, c] , [a, a] , [a, a] , [ a , a ] ] {- Mirror (Semlab 1 (Concon 1 (Input 2))) -} [[b, b], [c, b], [a, c], [c, a]] -> [ [a, b] , [a, a] , [a, a] , [ c , a ] ] {- Mirror (Semlab 2 (Concon 0 (Input 2))) -} [[b, c], [c, b], [a, c], [c, a]] -> [ [a, c] , [a, a] , [a, a] , [ c , a ] ] {- Mirror (Semlab 2 (Concon 1 (Input 2))) -} reason Tiling { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False} steps 2 using 35 tiles tile all rules steps: 2 property Termination has value Just True for SRS [[[a, a], [a, a]], [[a, a], [a, a]], [[a, a], >]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [a, a]], [[a, a], [<, a]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [a, a]], [[a, a], [a, a]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [a, a]], [[a, a], [c, a]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [a, a]], [[a, a], >]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [a, a]], [[a, a], [<, a]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [a, a]], [[a, a], [a, a]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [a, a]], [[a, a], [c, a]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [a, a]], [[a, a], >]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [a, a]], [[a, a], [<, a]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [a, a]], [[a, a], [a, a]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [a, a]], [[a, a], [c, a]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[<, [a, b]], [[a, b], [a, a]], [[a, a], >]] -> [ [<, [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[<, [a, b]], [[a, b], [a, a]], [[a, a], [<, a]]] -> [ [<, [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[<, [a, b]], [[a, b], [a, a]], [[a, a], [a, a]]] -> [ [<, [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[<, [a, b]], [[a, b], [a, a]], [[a, a], [c, a]]] -> [ [<, [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [a, a]], [[a, a], >]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [a, a]], [[a, a], [<, a]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [a, a]], [[a, a], [a, a]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [a, a]], [[a, a], [c, a]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [a, a]], [[a, a], >]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [a, a]], [[a, a], [<, a]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [a, a]], [[a, a], [a, a]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [a, a]], [[a, a], [c, a]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[<, [a, c]], [[a, c], [a, a]], [[a, a], >]] -> [ [<, [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[<, [a, c]], [[a, c], [a, a]], [[a, a], [<, a]]] -> [ [<, [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[<, [a, c]], [[a, c], [a, a]], [[a, a], [a, a]]] -> [ [<, [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[<, [a, c]], [[a, c], [a, a]], [[a, a], [c, a]]] -> [ [<, [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, a], [a, c]], [[a, c], [a, a]], [[a, a], >]] -> [ [[c, a], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, a], [a, c]], [[a, c], [a, a]], [[a, a], [<, a]]] -> [ [[c, a], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, a], [a, c]], [[a, c], [a, a]], [[a, a], [a, a]]] -> [ [[c, a], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, a], [a, c]], [[a, c], [a, a]], [[a, a], [c, a]]] -> [ [[c, a], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, b], [a, c]], [[a, c], [a, a]], [[a, a], >]] -> [ [[c, b], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, b], [a, c]], [[a, c], [a, a]], [[a, a], [<, a]]] -> [ [[c, b], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, b], [a, c]], [[a, c], [a, a]], [[a, a], [a, a]]] -> [ [[c, b], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, b], [a, c]], [[a, c], [a, a]], [[a, a], [c, a]]] -> [ [[c, b], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, c], [a, c]], [[a, c], [a, a]], [[a, a], >]] -> [ [[c, c], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 3 (Concon 0 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, c], [a, c]], [[a, c], [a, a]], [[a, a], [<, a]]] -> [ [[c, c], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 3 (Concon 1 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, c], [a, c]], [[a, c], [a, a]], [[a, a], [a, a]]] -> [ [[c, c], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 3 (Concon 2 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[c, c], [a, c]], [[a, c], [a, a]], [[a, a], [c, a]]] -> [ [[c, c], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 3 (Concon 3 (Mirror (Semlab 1 (Concon 3 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [c, a]], [[c, a], >]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [c, a]], [[c, a], [b, c]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [c, a]], [[c, a], [a, c]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [c, a]], [[c, a], [c, c]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [c, a]], [[c, a], >]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [c, a]], [[c, a], [b, c]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [c, a]], [[c, a], [a, c]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [c, a]], [[c, a], [c, c]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [c, a]], [[c, a], >]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [c, a]], [[c, a], [b, c]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [c, a]], [[c, a], [a, c]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [c, a]], [[c, a], [c, c]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[<, [a, b]], [[a, b], [c, a]], [[c, a], >]] -> [ [<, [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[<, [a, b]], [[a, b], [c, a]], [[c, a], [b, c]]] -> [ [<, [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[<, [a, b]], [[a, b], [c, a]], [[c, a], [a, c]]] -> [ [<, [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[<, [a, b]], [[a, b], [c, a]], [[c, a], [c, c]]] -> [ [<, [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [c, a]], [[c, a], >]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [c, a]], [[c, a], [b, c]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [c, a]], [[c, a], [a, c]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [c, a]], [[c, a], [c, c]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [c, a]], [[c, a], >]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [c, a]], [[c, a], [b, c]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [c, a]], [[c, a], [a, c]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [c, a]], [[c, a], [c, c]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[<, [a, c]], [[a, c], [c, a]], [[c, a], >]] -> [ [<, [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[<, [a, c]], [[a, c], [c, a]], [[c, a], [b, c]]] -> [ [<, [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[<, [a, c]], [[a, c], [c, a]], [[c, a], [a, c]]] -> [ [<, [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[<, [a, c]], [[a, c], [c, a]], [[c, a], [c, c]]] -> [ [<, [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, a], [a, c]], [[a, c], [c, a]], [[c, a], >]] -> [ [[c, a], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, a], [a, c]], [[a, c], [c, a]], [[c, a], [b, c]]] -> [ [[c, a], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, a], [a, c]], [[a, c], [c, a]], [[c, a], [a, c]]] -> [ [[c, a], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, a], [a, c]], [[a, c], [c, a]], [[c, a], [c, c]]] -> [ [[c, a], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, b], [a, c]], [[a, c], [c, a]], [[c, a], >]] -> [ [[c, b], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, b], [a, c]], [[a, c], [c, a]], [[c, a], [b, c]]] -> [ [[c, b], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, b], [a, c]], [[a, c], [c, a]], [[c, a], [a, c]]] -> [ [[c, b], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, b], [a, c]], [[a, c], [c, a]], [[c, a], [c, c]]] -> [ [[c, b], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, c], [a, c]], [[a, c], [c, a]], [[c, a], >]] -> [ [[c, c], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , > ] ] {- Semlab 3 (Concon 0 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, c], [a, c]], [[a, c], [c, a]], [[c, a], [b, c]]] -> [ [[c, c], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 3 (Concon 1 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, c], [a, c]], [[a, c], [c, a]], [[c, a], [a, c]]] -> [ [[c, c], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 3 (Concon 2 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[c, c], [a, c]], [[a, c], [c, a]], [[c, a], [c, c]]] -> [ [[c, c], [c, c]] , [[c, c], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 3 (Concon 3 (Mirror (Semlab 2 (Concon 3 (Input 0))))) -} [[[b, c], [b, b]], [[b, b], [a, b]], [[a, b], [a, a]], [[a, a], >]] -> [ [ [ b , c ] , [ a , b ] ] , [ [ a , b ] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [<, a]] ] -> [ [[b, c], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, c], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [c, a]] ] -> [ [[b, c], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 0 (Input 1))))) -} [[[c, a], [b, c]], [[b, c], [a, b]], [[a, b], [a, a]], [[a, a], >]] -> [ [ [ c , a ] , [ a , c ] ] , [ [ a , c ] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, a], [a, c]] , [ [a, c] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, a], [a, c]] , [ [a, c] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, a], [a, c]] , [ [a, c] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [[[c, b], [b, c]], [[b, c], [a, b]], [[a, b], [a, a]], [[a, a], >]] -> [ [ [ c , b ] , [ a , c ] ] , [ [ a , c ] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, b], [a, c]] , [ [a, c] , [ < , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, b], [a, c]] , [ [a, c] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, b], [a, c]] , [ [a, c] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [[[c, c], [b, c]], [[b, c], [a, b]], [[a, b], [a, a]], [[a, a], >]] -> [ [ [ c , c ] , [ a , c ] ] , [ [ a , c ] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, c], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, c], [a, c]] , [ [a, c] , [ < , a ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, c], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, c], [a, c]] , [ [a, c] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, c], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, c], [a, c]] , [ [a, c] , [ c , a ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [[[b, c], [b, b]], [[b, b], [a, b]], [[a, b], [c, a]], [[c, a], >]] -> [ [ [ b , c ] , [ c , b ] ] , [ [ c , b ] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [c, a]] , [[c, a], [b, c]] ] -> [ [[b, c], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [c, a]] , [[c, a], [a, c]] ] -> [ [[b, c], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [c, a]] , [[c, a], [c, c]] ] -> [ [[b, c], [c, b]] , [ [c, b] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 0 (Input 1))))) -} [[[c, a], [b, c]], [[b, c], [a, b]], [[a, b], [c, a]], [[c, a], >]] -> [ [ [ c , a ] , [ c , c ] ] , [ [ c , c ] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [b, c]] ] -> [ [[c, a], [c, c]] , [ [c, c] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [a, c]] ] -> [ [[c, a], [c, c]] , [ [c, c] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [c, c]] ] -> [ [[c, a], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [[[c, b], [b, c]], [[b, c], [a, b]], [[a, b], [c, a]], [[c, a], >]] -> [ [ [ c , b ] , [ c , c ] ] , [ [ c , c ] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [b, c]] ] -> [ [[c, b], [c, c]] , [ [c, c] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [a, c]] ] -> [ [[c, b], [c, c]] , [ [c, c] , [ a , c ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [c, c]] ] -> [ [[c, b], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [[[c, c], [b, c]], [[b, c], [a, b]], [[a, b], [c, a]], [[c, a], >]] -> [ [ [ c , c ] , [ c , c ] ] , [ [ c , c ] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, c], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [b, c]] ] -> [ [[c, c], [c, c]] , [ [c, c] , [ b , c ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, c], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [a, c]] ] -> [ [[c, c], [c, c]] , [ [c, c] , [ a , c ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[c, c], [b, c]] , [[b, c], [a, b]] , [[a, b], [c, a]] , [[c, a], [c, c]] ] -> [ [[c, c], [c, c]] , [ [c, c] , [ c , c ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [<, a]] , [[<, a], >] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [<, a]] , [ [<, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 0 (Concon 0 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [<, a]] , [[<, a], >] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [<, a]] , [ [<, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 0 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [<, a]] , [[<, a], >] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [<, a]] , [ [<, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 0 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [<, a]] , [[<, a], >] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [<, a]] , [ [<, a] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 0 (Concon 1 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], >] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [<, a]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [c, a]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 0 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], >] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], >] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], >] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ c , a ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], >] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [b, c]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [a, c]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [c, c]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 0 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], >] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [b, c]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [a, c]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [c, c]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], >] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [b, c]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [a, c]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ a , c ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [c, c]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ c , c ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], >] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , > ] ] {- Semlab 2 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [b, c]] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ b , c ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [a, c]] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ a , c ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, c], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [c, c]] ] -> [ [[c, c], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ c , c ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} reason ([[a, a], [a, a]], 13/1) ([[a, a], >], 49/2) ([[a, a], [c, a]], 13/1) ([[c, a], [b, c]], 13/1) ([[a, a], [<, a]], 13/1) ([[a, b], [a, a]], 13/1) ([[a, b], [c, a]], 13/1) ([<, [a, b]], 14/1) ([[c, b], [b, c]], 13/1) ([[b, c], [a, b]], 13/1) ([[b, c], [c, b]], 13/1) ([<, [a, c]], 14/1) ([[c, a], [a, c]], 52/1) ([[c, a], [c, c]], 7/1) ([[c, b], [a, c]], 52/1) ([[c, c], [a, c]], 5/1) ([[c, a], >], 49/2) property Termination has value Just True for SRS [[[a, a], [a, a]], [[a, a], [a, a]], [[a, a], [a, a]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [a, a]], [[a, a], [c, a]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [a, a]], [[a, a], [a, a]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [a, a]], [[a, a], [c, a]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [a, a]], [[a, a], [a, a]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [a, a]], [[a, a], [c, a]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [a, a]], [[a, a], [a, a]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [a, a]], [[a, a], [c, a]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [a, a]], [[a, a], [a, a]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [a, a]], [[a, a], [c, a]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 2 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [c, a]], [[c, a], [b, c]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, a], [a, a]], [[a, a], [c, a]], [[c, a], [a, c]]] -> [ [[a, a], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [c, a]], [[c, a], [b, c]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, b], [a, a]], [[a, a], [c, a]], [[c, a], [a, c]]] -> [ [[a, b], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [c, a]], [[c, a], [b, c]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[a, c], [a, a]], [[a, a], [c, a]], [[c, a], [a, c]]] -> [ [[a, c], [c, a]] , [[c, a], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [c, a]], [[c, a], [b, c]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, b], [a, b]], [[a, b], [c, a]], [[c, a], [a, c]]] -> [ [[b, b], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [c, a]], [[c, a], [b, c]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 2 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [[[b, c], [a, b]], [[a, b], [c, a]], [[c, a], [a, c]]] -> [ [[b, c], [c, b]] , [[c, b], [b, c]] , [[b, c], [b, b]] , [[b, b], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 2 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, c], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [c, a]] ] -> [ [[b, c], [a, b]] , [ [a, b] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 0 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, a], [a, c]] , [ [a, c] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, a], [a, c]] , [ [a, c] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, a], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, a], [a, c]] , [ [a, c] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, b], [a, c]] , [ [a, c] , [ < , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, b], [a, c]] , [ [a, c] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[c, b], [b, c]] , [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, b], [a, c]] , [ [a, c] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [c, a]] , [[c, a], [b, c]] ] -> [ [[b, c], [c, b]] , [ [c, b] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [a, b]] , [[a, b], [c, a]] , [[c, a], [a, c]] ] -> [ [[b, c], [c, b]] , [ [c, b] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 0 (Input 1))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [<, a]] , [[<, a], >] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [<, a]] , [ [<, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 0 (Concon 0 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [<, a]] , [[<, a], >] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [<, a]] , [ [<, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 0 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [<, a]] , [[<, a], >] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [<, a]] , [ [<, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 0 (Concon 1 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], >] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [<, a]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [c, a]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 0 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], >] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ c , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], >] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [<, a]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [c, a]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [a, a]] , [ [a, a] , [ c , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], >] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [b, c]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [a, c]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 0 (Input 2))))) -} [ [[b, c], [b, b]] , [[b, b], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [c, c]] ] -> [ [[b, c], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 0 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], >] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [b, c]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ b , c ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [a, c]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ a , c ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, a], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [c, c]] ] -> [ [[c, a], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ c , c ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], >] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [b, c]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ b , c ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [a, c]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ a , c ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} [ [[c, b], [b, c]] , [[b, c], [c, b]] , [[c, b], [a, c]] , [[a, c], [c, a]] , [[c, a], [c, c]] ] -> [ [[c, b], [a, c]] , [[a, c], [a, a]] , [[a, a], [a, a]] , [[a, a], [c, a]] , [ [c, a] , [ c , c ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -} reason unlabel property Termination has value Just True for SRS [0, 0] -> [1, 2, 3, 4] {- Mirror (Semlab 1 (Concon 1 (Input 0))) -} [4, 0] -> [5, 2, 3, 4] {- Mirror (Semlab 1 (Concon 2 (Input 0))) -} [0, 1] -> [1, 2, 3, 5] {- Mirror (Semlab 2 (Concon 1 (Input 0))) -} [4, 1] -> [5, 2, 3, 5] {- Mirror (Semlab 2 (Concon 2 (Input 0))) -} [3, 4, 0] -> [4] {- Mirror (Semlab 1 (Concon 0 (Input 1))) -} [2, 4, 0] -> [6] {- Mirror (Semlab 1 (Concon 1 (Input 1))) -} [3, 4, 1] -> [5] {- Mirror (Semlab 2 (Concon 0 (Input 1))) -} [3, 5, 6, 8] -> [4, 0, 0, 8] {- Mirror (Semlab 0 (Concon 0 (Input 2))) -} [2, 5, 6, 8] -> [6, 0, 0, 8] {- Mirror (Semlab 0 (Concon 1 (Input 2))) -} [3, 5, 6, 0] -> [4, 0, 0, 0] {- Mirror (Semlab 1 (Concon 0 (Input 2))) -} [2, 5, 6, 0] -> [6, 0, 0, 0] {- Mirror (Semlab 1 (Concon 1 (Input 2))) -} [3, 5, 6, 1] -> [4, 0, 0, 1] {- Mirror (Semlab 2 (Concon 0 (Input 2))) -} [2, 5, 6, 1] -> [6, 0, 0, 1] {- Mirror (Semlab 2 (Concon 1 (Input 2))) -} reason DP property Termination has value Just True for SRS [0, 0] ->= [1, 2, 3, 4] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [4, 0] ->= [5, 2, 3, 4] {- DP Nontop (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [0, 1] ->= [1, 2, 3, 5] {- DP Nontop (Mirror (Semlab 2 (Concon 1 (Input 0)))) -} [4, 1] ->= [5, 2, 3, 5] {- DP Nontop (Mirror (Semlab 2 (Concon 2 (Input 0)))) -} [3, 4, 0] ->= [4] {- DP Nontop (Mirror (Semlab 1 (Concon 0 (Input 1)))) -} [2, 4, 0] ->= [6] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 1)))) -} [3, 4, 1] ->= [5] {- DP Nontop (Mirror (Semlab 2 (Concon 0 (Input 1)))) -} [3, 5, 6, 8] ->= [ 4 , 0 , 0 , 8 ] {- DP Nontop (Mirror (Semlab 0 (Concon 0 (Input 2)))) -} [2, 5, 6, 8] ->= [ 6 , 0 , 0 , 8 ] {- DP Nontop (Mirror (Semlab 0 (Concon 1 (Input 2)))) -} [3, 5, 6, 0] ->= [ 4 , 0 , 0 , 0 ] {- DP Nontop (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [2, 5, 6, 0] ->= [ 6 , 0 , 0 , 0 ] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 2)))) -} [3, 5, 6, 1] ->= [ 4 , 0 , 0 , 1 ] {- DP Nontop (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [2, 5, 6, 1] ->= [ 6 , 0 , 0 , 1 ] {- DP Nontop (Mirror (Semlab 2 (Concon 1 (Input 2)))) -} [0#, 0] |-> [2#, 3, 4] {- DP (Top 1) (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [0#, 0] |-> [3#, 4] {- DP (Top 2) (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [0#, 0] |-> [4#] {- DP (Top 3) (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [0#, 1] |-> [2#, 3, 5] {- DP (Top 1) (Mirror (Semlab 2 (Concon 1 (Input 0)))) -} [0#, 1] |-> [3#, 5] {- DP (Top 2) (Mirror (Semlab 2 (Concon 1 (Input 0)))) -} [2#, 5, 6, 0] |-> [ 0# , 0 ] {- DP (Top 2) (Mirror (Semlab 1 (Concon 1 (Input 2)))) -} [2#, 5, 6, 0] |-> [ 0# , 0 , 0 ] {- DP (Top 1) (Mirror (Semlab 1 (Concon 1 (Input 2)))) -} [2#, 5, 6, 1] |-> [ 0# , 0 , 1 ] {- DP (Top 1) (Mirror (Semlab 2 (Concon 1 (Input 2)))) -} [2#, 5, 6, 1] |-> [ 0# , 1 ] {- DP (Top 2) (Mirror (Semlab 2 (Concon 1 (Input 2)))) -} [2#, 5, 6, 8] |-> [ 0# , 0 , 8 ] {- DP (Top 1) (Mirror (Semlab 0 (Concon 1 (Input 2)))) -} [2#, 5, 6, 8] |-> [ 0# , 8 ] {- DP (Top 2) (Mirror (Semlab 0 (Concon 1 (Input 2)))) -} [3#, 4, 0] |-> [4#] {- DP (Top 0) (Mirror (Semlab 1 (Concon 0 (Input 1)))) -} [3#, 5, 6, 0] |-> [ 0# , 0 ] {- DP (Top 2) (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [3#, 5, 6, 0] |-> [ 0# , 0 , 0 ] {- DP (Top 1) (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [3#, 5, 6, 0] |-> [ 4# , 0 , 0 , 0 ] {- DP (Top 0) (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [3#, 5, 6, 1] |-> [ 0# , 0 , 1 ] {- DP (Top 1) (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [3#, 5, 6, 1] |-> [ 0# , 1 ] {- DP (Top 2) (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [3#, 5, 6, 1] |-> [ 4# , 0 , 0 , 1 ] {- DP (Top 0) (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [3#, 5, 6, 8] |-> [ 0# , 0 , 8 ] {- DP (Top 1) (Mirror (Semlab 0 (Concon 0 (Input 2)))) -} [3#, 5, 6, 8] |-> [ 0# , 8 ] {- DP (Top 2) (Mirror (Semlab 0 (Concon 0 (Input 2)))) -} [3#, 5, 6, 8] |-> [ 4# , 0 , 0 , 8 ] {- DP (Top 0) (Mirror (Semlab 0 (Concon 0 (Input 2)))) -} [4#, 0] |-> [2#, 3, 4] {- DP (Top 1) (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [4#, 0] |-> [3#, 4] {- DP (Top 2) (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [4#, 0] |-> [4#] {- DP (Top 3) (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [4#, 1] |-> [2#, 3, 5] {- DP (Top 1) (Mirror (Semlab 2 (Concon 2 (Input 0)))) -} [4#, 1] |-> [3#, 5] {- DP (Top 2) (Mirror (Semlab 2 (Concon 2 (Input 0)))) -} reason EDG property Termination has value Just True for SRS [0#, 0] |-> [2#, 3, 4] {- DP (Top 1) (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [2#, 5, 6, 8] |-> [ 0# , 0 , 8 ] {- DP (Top 1) (Mirror (Semlab 0 (Concon 1 (Input 2)))) -} [0#, 0] |-> [4#] {- DP (Top 3) (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [4#, 1] |-> [3#, 5] {- DP (Top 2) (Mirror (Semlab 2 (Concon 2 (Input 0)))) -} [3#, 5, 6, 8] |-> [ 4# , 0 , 0 , 8 ] {- DP (Top 0) (Mirror (Semlab 0 (Concon 0 (Input 2)))) -} [4#, 1] |-> [2#, 3, 5] {- DP (Top 1) (Mirror (Semlab 2 (Concon 2 (Input 0)))) -} [2#, 5, 6, 1] |-> [ 0# , 1 ] {- DP (Top 2) (Mirror (Semlab 2 (Concon 1 (Input 2)))) -} [0#, 1] |-> [3#, 5] {- DP (Top 2) (Mirror (Semlab 2 (Concon 1 (Input 0)))) -} [3#, 5, 6, 8] |-> [ 0# , 0 , 8 ] {- DP (Top 1) (Mirror (Semlab 0 (Concon 0 (Input 2)))) -} [0#, 0] |-> [3#, 4] {- DP (Top 2) (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [3#, 5, 6, 1] |-> [ 4# , 0 , 0 , 1 ] {- DP (Top 0) (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [4#, 0] |-> [4#] {- DP (Top 3) (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [4#, 0] |-> [3#, 4] {- DP (Top 2) (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [3#, 5, 6, 1] |-> [ 0# , 1 ] {- DP (Top 2) (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [0#, 1] |-> [2#, 3, 5] {- DP (Top 1) (Mirror (Semlab 2 (Concon 1 (Input 0)))) -} [2#, 5, 6, 1] |-> [ 0# , 0 , 1 ] {- DP (Top 1) (Mirror (Semlab 2 (Concon 1 (Input 2)))) -} [2#, 5, 6, 0] |-> [ 0# , 0 , 0 ] {- DP (Top 1) (Mirror (Semlab 1 (Concon 1 (Input 2)))) -} [2#, 5, 6, 0] |-> [ 0# , 0 ] {- DP (Top 2) (Mirror (Semlab 1 (Concon 1 (Input 2)))) -} [3#, 5, 6, 1] |-> [ 0# , 0 , 1 ] {- DP (Top 1) (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [3#, 5, 6, 0] |-> [ 4# , 0 , 0 , 0 ] {- DP (Top 0) (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [4#, 0] |-> [2#, 3, 4] {- DP (Top 1) (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [3#, 5, 6, 0] |-> [ 0# , 0 , 0 ] {- DP (Top 1) (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [3#, 5, 6, 0] |-> [ 0# , 0 ] {- DP (Top 2) (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [3#, 4, 0] |-> [4#] {- DP (Top 0) (Mirror (Semlab 1 (Concon 0 (Input 1)))) -} [0, 0] ->= [1, 2, 3, 4] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [4, 0] ->= [5, 2, 3, 4] {- DP Nontop (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [0, 1] ->= [1, 2, 3, 5] {- DP Nontop (Mirror (Semlab 2 (Concon 1 (Input 0)))) -} [4, 1] ->= [5, 2, 3, 5] {- DP Nontop (Mirror (Semlab 2 (Concon 2 (Input 0)))) -} [3, 4, 0] ->= [4] {- DP Nontop (Mirror (Semlab 1 (Concon 0 (Input 1)))) -} [2, 4, 0] ->= [6] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 1)))) -} [3, 4, 1] ->= [5] {- DP Nontop (Mirror (Semlab 2 (Concon 0 (Input 1)))) -} [3, 5, 6, 8] ->= [ 4 , 0 , 0 , 8 ] {- DP Nontop (Mirror (Semlab 0 (Concon 0 (Input 2)))) -} [2, 5, 6, 8] ->= [ 6 , 0 , 0 , 8 ] {- DP Nontop (Mirror (Semlab 0 (Concon 1 (Input 2)))) -} [3, 5, 6, 0] ->= [ 4 , 0 , 0 , 0 ] {- DP Nontop (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [2, 5, 6, 0] ->= [ 6 , 0 , 0 , 0 ] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 2)))) -} [3, 5, 6, 1] ->= [ 4 , 0 , 0 , 1 ] {- DP Nontop (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [2, 5, 6, 1] ->= [ 6 , 0 , 0 , 1 ] {- DP Nontop (Mirror (Semlab 2 (Concon 1 (Input 2)))) -} reason ( 0 , Wk / 2A 2A \ \ 0A 0A / ) ( 1 , Wk / 4A 6A \ \ 2A 4A / ) ( 2 , Wk / 0A 0A \ \ -2A 0A / ) ( 3 , Wk / 0A 0A \ \ -2A -2A / ) ( 4 , Wk / 0A 0A \ \ 0A 0A / ) ( 5 , Wk / 2A 4A \ \ 2A 4A / ) ( 6 , Wk / 2A 2A \ \ 2A 2A / ) ( 8 , Wk / 6A 8A \ \ 4A 6A / ) ( 0# , Wk / 18A 19A \ \ 18A 19A / ) ( 2# , Wk / 17A 17A \ \ 17A 17A / ) ( 3# , Wk / 13A 15A \ \ 13A 15A / ) ( 4# , Wk / 16A 16A \ \ 16A 16A / ) property Termination has value Just True for SRS [0, 0] ->= [1, 2, 3, 4] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 0)))) -} [4, 0] ->= [5, 2, 3, 4] {- DP Nontop (Mirror (Semlab 1 (Concon 2 (Input 0)))) -} [0, 1] ->= [1, 2, 3, 5] {- DP Nontop (Mirror (Semlab 2 (Concon 1 (Input 0)))) -} [4, 1] ->= [5, 2, 3, 5] {- DP Nontop (Mirror (Semlab 2 (Concon 2 (Input 0)))) -} [3, 4, 0] ->= [4] {- DP Nontop (Mirror (Semlab 1 (Concon 0 (Input 1)))) -} [2, 4, 0] ->= [6] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 1)))) -} [3, 4, 1] ->= [5] {- DP Nontop (Mirror (Semlab 2 (Concon 0 (Input 1)))) -} [3, 5, 6, 8] ->= [ 4 , 0 , 0 , 8 ] {- DP Nontop (Mirror (Semlab 0 (Concon 0 (Input 2)))) -} [2, 5, 6, 8] ->= [ 6 , 0 , 0 , 8 ] {- DP Nontop (Mirror (Semlab 0 (Concon 1 (Input 2)))) -} [3, 5, 6, 0] ->= [ 4 , 0 , 0 , 0 ] {- DP Nontop (Mirror (Semlab 1 (Concon 0 (Input 2)))) -} [2, 5, 6, 0] ->= [ 6 , 0 , 0 , 0 ] {- DP Nontop (Mirror (Semlab 1 (Concon 1 (Input 2)))) -} [3, 5, 6, 1] ->= [ 4 , 0 , 0 , 1 ] {- DP Nontop (Mirror (Semlab 2 (Concon 0 (Input 2)))) -} [2, 5, 6, 1] ->= [ 6 , 0 , 0 , 1 ] {- DP Nontop (Mirror (Semlab 2 (Concon 1 (Input 2)))) -} reason EDG ************************************************** skeleton: (3,3)\TileAllRFC{2}(24,13)\Weight\Mirror(16,9)\TileAllRFC{2}(148,34)\Weight(57,21)\Unlabel(13,8)\Deepee(26/13,12)\EDG(24/13,12)\Matrix{\Arctic}{2}(0/13,8)\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)])