/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 3 rules on 3 letters       mirror
SRS with 3 rules on 3 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 48 rules on 16 letters       weights
SRS with 13 rules on 9 letters       DP
SRS with 28 strict rules and 13 weak rules on 15 letters       weights
SRS with 4 strict rules and 13 weak rules on 11 letters       EDG
SRS with 3 strict rules and 13 weak rules on 11 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = False}
SRS with 2 strict rules and 13 weak rules on 11 letters       EDG
SRS with 2 strict rules and 13 weak rules on 11 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 3, solver = Minisatapi, verbose = False, tracing = False}
SRS with 1 strict rules and 13 weak rules on 11 letters       weights
SRS with 0 strict rules and 13 weak rules on 9 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a] -> [b, c] {- Input 0 -}
  [b, a, b] -> [] {- Input 1 -}
  [c, c] -> [a, a, a, b] {- Input 2 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a] -> [c, b] {- Mirror (Input 0) -}
  [b, a, b] -> [] {- Mirror (Input 1) -}
  [c, c] -> [b, a, a, a] {- Mirror (Input 2) -}
reason
  Tiling   { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False}
  steps 3
  using 16 tiles
  tile all rules
  steps: 3
  
   property Termination
has value Just True
for SRS
  [[<, a], [a, >]] -> [ [<, c] , [c, b] , [b, >] ] {- Semlab 0 (Concon 0 (Mirror (Input 0))) -}
  [[<, a], [a, a]] -> [ [<, c] , [c, b] , [b, a] ] {- Semlab 0 (Concon 1 (Mirror (Input 0))) -}
  [[<, a], [a, b]] -> [ [<, c] , [c, b] , [b, b] ] {- Semlab 0 (Concon 2 (Mirror (Input 0))) -}
  [[<, a], [a, c]] -> [ [<, c] , [c, b] , [b, c] ] {- Semlab 0 (Concon 3 (Mirror (Input 0))) -}
  [[a, a], [a, >]] -> [ [a, c] , [c, b] , [b, >] ] {- Semlab 1 (Concon 0 (Mirror (Input 0))) -}
  [[a, a], [a, a]] -> [ [a, c] , [c, b] , [b, a] ] {- Semlab 1 (Concon 1 (Mirror (Input 0))) -}
  [[a, a], [a, b]] -> [ [a, c] , [c, b] , [b, b] ] {- Semlab 1 (Concon 2 (Mirror (Input 0))) -}
  [[a, a], [a, c]] -> [ [a, c] , [c, b] , [b, c] ] {- Semlab 1 (Concon 3 (Mirror (Input 0))) -}
  [[b, a], [a, >]] -> [ [b, c] , [c, b] , [b, >] ] {- Semlab 2 (Concon 0 (Mirror (Input 0))) -}
  [[b, a], [a, a]] -> [ [b, c] , [c, b] , [b, a] ] {- Semlab 2 (Concon 1 (Mirror (Input 0))) -}
  [[b, a], [a, b]] -> [ [b, c] , [c, b] , [b, b] ] {- Semlab 2 (Concon 2 (Mirror (Input 0))) -}
  [[b, a], [a, c]] -> [ [b, c] , [c, b] , [b, c] ] {- Semlab 2 (Concon 3 (Mirror (Input 0))) -}
  [[c, a], [a, >]] -> [ [c, c] , [c, b] , [b, >] ] {- Semlab 3 (Concon 0 (Mirror (Input 0))) -}
  [[c, a], [a, a]] -> [ [c, c] , [c, b] , [b, a] ] {- Semlab 3 (Concon 1 (Mirror (Input 0))) -}
  [[c, a], [a, b]] -> [ [c, c] , [c, b] , [b, b] ] {- Semlab 3 (Concon 2 (Mirror (Input 0))) -}
  [[c, a], [a, c]] -> [ [c, c] , [c, b] , [b, c] ] {- Semlab 3 (Concon 3 (Mirror (Input 0))) -}
  [[<, b], [b, a], [a, b], [b, >]] -> [ [ < , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 1))) -}
  [[<, b], [b, a], [a, b], [b, a]] -> [ [ < , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 1))) -}
  [[<, b], [b, a], [a, b], [b, b]] -> [ [ < , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 1))) -}
  [[<, b], [b, a], [a, b], [b, c]] -> [ [ < , c ] ] {- Semlab 0 (Concon 3 (Mirror (Input 1))) -}
  [[a, b], [b, a], [a, b], [b, >]] -> [ [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 1))) -}
  [[a, b], [b, a], [a, b], [b, a]] -> [ [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 1))) -}
  [[a, b], [b, a], [a, b], [b, b]] -> [ [ a , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 1))) -}
  [[a, b], [b, a], [a, b], [b, c]] -> [ [ a , c ] ] {- Semlab 1 (Concon 3 (Mirror (Input 1))) -}
  [[b, b], [b, a], [a, b], [b, >]] -> [ [ b , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 1))) -}
  [[b, b], [b, a], [a, b], [b, a]] -> [ [ b , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 1))) -}
  [[b, b], [b, a], [a, b], [b, b]] -> [ [ b , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 1))) -}
  [[b, b], [b, a], [a, b], [b, c]] -> [ [ b , c ] ] {- Semlab 2 (Concon 3 (Mirror (Input 1))) -}
  [[c, b], [b, a], [a, b], [b, >]] -> [ [ c , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 1))) -}
  [[c, b], [b, a], [a, b], [b, a]] -> [ [ c , a ] ] {- Semlab 3 (Concon 1 (Mirror (Input 1))) -}
  [[c, b], [b, a], [a, b], [b, b]] -> [ [ c , b ] ] {- Semlab 3 (Concon 2 (Mirror (Input 1))) -}
  [[c, b], [b, a], [a, b], [b, c]] -> [ [ c , c ] ] {- Semlab 3 (Concon 3 (Mirror (Input 1))) -}
  [[<, c], [c, c], [c, >]] -> [ [<, b] , [b, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 2))) -}
  [[<, c], [c, c], [c, a]] -> [ [<, b] , [b, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 2))) -}
  [[<, c], [c, c], [c, b]] -> [ [<, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -}
  [[<, c], [c, c], [c, c]] -> [ [<, b] , [b, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 0 (Concon 3 (Mirror (Input 2))) -}
  [[a, c], [c, c], [c, >]] -> [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 2))) -}
  [[a, c], [c, c], [c, a]] -> [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 2))) -}
  [[a, c], [c, c], [c, b]] -> [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -}
  [[a, c], [c, c], [c, c]] -> [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 3 (Mirror (Input 2))) -}
  [[b, c], [c, c], [c, >]] -> [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 2))) -}
  [[b, c], [c, c], [c, a]] -> [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 2))) -}
  [[b, c], [c, c], [c, b]] -> [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -}
  [[b, c], [c, c], [c, c]] -> [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 3 (Mirror (Input 2))) -}
  [[c, c], [c, c], [c, >]] -> [ [c, b] , [b, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 2))) -}
  [[c, c], [c, c], [c, a]] -> [ [c, b] , [b, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (Mirror (Input 2))) -}
  [[c, c], [c, c], [c, b]] -> [ [c, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (Mirror (Input 2))) -}
  [[c, c], [c, c], [c, c]] -> [ [c, b] , [b, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 3 (Mirror (Input 2))) -}
reason
  ([<, a], 7/1)
  ([a, >], 13/1)
  ([<, c], 9/1)
  ([b, >], 1/1)
  ([a, a], 7/1)
  ([a, b], 7/1)
  ([a, c], 14/1)
  ([b, c], 7/1)
  ([c, a], 7/1)
  ([c, c], 14/1)
  ([<, b], 1/1)
  ([c, >], 7/1)
   property Termination
has value Just True
for SRS
  [[a, a], [a, a]] -> [ [a, c] , [c, b] , [b, a] ] {- Semlab 1 (Concon 1 (Mirror (Input 0))) -}
  [[a, a], [a, b]] -> [ [a, c] , [c, b] , [b, b] ] {- Semlab 1 (Concon 2 (Mirror (Input 0))) -}
  [[a, a], [a, c]] -> [ [a, c] , [c, b] , [b, c] ] {- Semlab 1 (Concon 3 (Mirror (Input 0))) -}
  [[b, a], [a, a]] -> [ [b, c] , [c, b] , [b, a] ] {- Semlab 2 (Concon 1 (Mirror (Input 0))) -}
  [[b, a], [a, b]] -> [ [b, c] , [c, b] , [b, b] ] {- Semlab 2 (Concon 2 (Mirror (Input 0))) -}
  [[b, a], [a, c]] -> [ [b, c] , [c, b] , [b, c] ] {- Semlab 2 (Concon 3 (Mirror (Input 0))) -}
  [[c, a], [a, a]] -> [ [c, c] , [c, b] , [b, a] ] {- Semlab 3 (Concon 1 (Mirror (Input 0))) -}
  [[c, a], [a, b]] -> [ [c, c] , [c, b] , [b, b] ] {- Semlab 3 (Concon 2 (Mirror (Input 0))) -}
  [[c, a], [a, c]] -> [ [c, c] , [c, b] , [b, c] ] {- Semlab 3 (Concon 3 (Mirror (Input 0))) -}
  [[c, b], [b, a], [a, b], [b, a]] -> [ [ c , a ] ] {- Semlab 3 (Concon 1 (Mirror (Input 1))) -}
  [[c, b], [b, a], [a, b], [b, c]] -> [ [ c , c ] ] {- Semlab 3 (Concon 3 (Mirror (Input 1))) -}
  [[a, c], [c, c], [c, b]] -> [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -}
  [[b, c], [c, c], [c, b]] -> [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 3 (Concon 2 (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [ c , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [ c , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 1)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[c, b]#, [b, a], [a, b], [b, a]] |-> [ [ c , a ]# ] {- DP (Top 0) (Semlab 3 (Concon 1 (Mirror (Input 1)))) -}
  [[a, a]#, [a, a]] |-> [ [c, b]# , [ b , a ] ] {- DP (Top 1) (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a]#, [a, a]] |-> [ [ b , a ]# ] {- DP (Top 2) (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a]#, [a, a]] |-> [ [a, c]# , [c, b] , [ b , a ] ] {- DP (Top 0) (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a]#, [a, b]] |-> [ [c, b]# , [ b , b ] ] {- DP (Top 1) (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a]#, [a, b]] |-> [ [a, c]# , [c, b] , [ b , b ] ] {- DP (Top 0) (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a]#, [a, c]] |-> [ [c, b]# , [ b , c ] ] {- DP (Top 1) (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[a, a]#, [a, c]] |-> [ [a, c]# , [c, b] , [ b , c ] ] {- DP (Top 0) (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[a, a]#, [a, c]] |-> [ [ b , c ]# ] {- DP (Top 2) (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a]#, [a, a]] |-> [ [c, b]# , [ b , a ] ] {- DP (Top 1) (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a]#, [a, a]] |-> [ [ b , a ]# ] {- DP (Top 2) (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a]#, [a, a]] |-> [ [b, c]# , [c, b] , [ b , a ] ] {- DP (Top 0) (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a]#, [a, b]] |-> [ [c, b]# , [ b , b ] ] {- DP (Top 1) (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a]#, [a, b]] |-> [ [b, c]# , [c, b] , [ b , b ] ] {- DP (Top 0) (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a]#, [a, c]] |-> [ [c, b]# , [ b , c ] ] {- DP (Top 1) (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a]#, [a, c]] |-> [ [ b , c ]# ] {- DP (Top 2) (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a]#, [a, c]] |-> [ [b, c]# , [c, b] , [ b , c ] ] {- DP (Top 0) (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[a, c]#, [c, c], [c, b]] |-> [ [a, a]# , [a, a] , [ a , b ] ] {- DP (Top 2) (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[a, c]#, [c, c], [c, b]] |-> [ [a, a]# , [ a , b ] ] {- DP (Top 3) (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[a, c]#, [c, c], [c, b]] |-> [ [b, a]# , [a, a] , [a, a] , [ a , b ] ] {- DP (Top 1) (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c]#, [c, c], [c, b]] |-> [ [a, a]# , [a, a] , [ a , b ] ] {- DP (Top 2) (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c]#, [c, c], [c, b]] |-> [ [a, a]# , [ a , b ] ] {- DP (Top 3) (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c]#, [c, c], [c, b]] |-> [ [b, a]# , [a, a] , [a, a] , [ a , b ] ] {- DP (Top 1) (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[c, a]#, [a, a]] |-> [ [c, b]# , [ b , a ] ] {- DP (Top 1) (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a]#, [a, a]] |-> [ [ b , a ]# ] {- DP (Top 2) (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a]#, [a, b]] |-> [ [c, b]# , [ b , b ] ] {- DP (Top 1) (Semlab 3 (Concon 2 (Mirror (Input 0)))) -}
  [[c, a]#, [a, c]] |-> [ [c, b]# , [ b , c ] ] {- DP (Top 1) (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
  [[c, a]#, [a, c]] |-> [ [ b , c ]# ] {- DP (Top 2) (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
reason
  ([a, a], 5/1)
  ([a, c], 5/1)
  ([c, b], 5/1)
  ([a, b], 5/1)
  ([c, a], 10/1)
  ([c, c], 10/1)
  ([c, b]#, 2/1)
  ([c, a]#, 5/1)
  ([a, a]#, 5/1)
  ([b, a]#, 1/1)
  ([a, c]#, 4/1)
  ([b, c]#, 1/1)
   property Termination
has value Just True
for SRS
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 3 (Concon 2 (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [ c , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [ c , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 1)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[b, a]#, [a, a]] |-> [ [b, c]# , [c, b] , [ b , a ] ] {- DP (Top 0) (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a]#, [a, b]] |-> [ [b, c]# , [c, b] , [ b , b ] ] {- DP (Top 0) (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a]#, [a, c]] |-> [ [b, c]# , [c, b] , [ b , c ] ] {- DP (Top 0) (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[b, c]#, [c, c], [c, b]] |-> [ [b, a]# , [a, a] , [a, a] , [ a , b ] ] {- DP (Top 1) (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [[b, a]#, [a, a]] |-> [ [b, c]# , [c, b] , [ b , a ] ] {- DP (Top 0) (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, c]#, [c, c], [c, b]] |-> [ [b, a]# , [a, a] , [a, a] , [ a , b ] ] {- DP (Top 1) (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[b, a]#, [a, c]] |-> [ [b, c]# , [c, b] , [ b , c ] ] {- DP (Top 0) (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 3 (Concon 2 (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [ c , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [ c , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 1)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
reason
  ( [a, a]
  , Wk  / 8A 8A \
        \ 6A 8A / )
  ( [a, c]
  , Wk  / 8A 8A \
        \ 6A 6A / )
  ( [c, b]
  , Wk  / 0A  0A \
        \ -2A 0A / )
  ( [b, a]
  , Wk  / 8A 8A \
        \ 8A 8A / )
  ( [a, b]
  , Wk  / 0A  0A  \
        \ -2A -2A / )
  ( [b, b]
  , Wk  / 0A  0A  \
        \ -2A -2A / )
  ( [b, c]
  , Wk  / 8A 8A \
        \ 6A 6A / )
  ( [c, a]
  , Wk  / 16A 16A \
        \ 16A 16A / )
  ( [c, c]
  , Wk  / 16A 16A \
        \ 16A 16A / )
  ( [b, a]#
  , Wk  / 12A 13A \
        \ 12A 13A / )
  ( [b, c]#
  , Wk  / 10A 12A \
        \ 10A 12A / )
   property Termination
has value Just True
for SRS
  [[b, a]#, [a, a]] |-> [ [b, c]# , [c, b] , [ b , a ] ] {- DP (Top 0) (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, c]#, [c, c], [c, b]] |-> [ [b, a]# , [a, a] , [a, a] , [ a , b ] ] {- DP (Top 1) (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 3 (Concon 2 (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [ c , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [ c , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 1)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [[b, a]#, [a, a]] |-> [ [b, c]# , [c, b] , [ b , a ] ] {- DP (Top 0) (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, c]#, [c, c], [c, b]] |-> [ [b, a]# , [a, a] , [a, a] , [ a , b ] ] {- DP (Top 1) (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 3 (Concon 2 (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [ c , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [ c , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 1)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
reason
  ( [a, a]
  , Wk  / 2A 4A 5A \
        | 5A 3A 4A |
        \ -  -  0A / )
  ( [a, c]
  , Wk  / 2A 0A 5A \
        | 4A 0A 5A |
        \ -  -  0A / )
  ( [c, b]
  , Wk  / -  3A 1A \
        | 3A 1A -  |
        \ -  -  0A / )
  ( [b, a]
  , Wk  / 5A 4A 1A \
        | 0A 2A 3A |
        \ -  -  0A / )
  ( [a, b]
  , Wk  / -  0A 0A \
        | 0A -  2A |
        \ -  -  0A / )
  ( [b, b]
  , Wk  / 0A - -  \
        | -  - -  |
        \ -  - 0A / )
  ( [b, c]
  , Wk  / 4A 1A 6A \
        | 0A -  3A |
        \ -  -  0A / )
  ( [c, a]
  , Wk  / 10A 9A 4A  \
        | 10A 7A 11A |
        \ -   -  0A  / )
  ( [c, c]
  , Wk  / 8A 6A 11A \
        | -  4A -   |
        \ -  -  0A  / )
  ( [b, a]#
  , Wk  / 2A - 10A \
        | -  - -   |
        \ -  - 0A  / )
  ( [b, c]#
  , Wk  / 0A - 9A \
        | -  - -  |
        \ -  - 0A / )
   property Termination
has value Just True
for SRS
  [[b, c]#, [c, c], [c, b]] |-> [ [b, a]# , [a, a] , [a, a] , [ a , b ] ] {- DP (Top 1) (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 3 (Concon 2 (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [ c , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [ c , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 1)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
reason
  ([b, c]#, 1/1)
   property Termination
has value Just True
for SRS
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 1 (Concon 1 (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 1 (Concon 3 (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 2 (Concon 1 (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 2 (Concon 3 (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- DP Nontop (Semlab 3 (Concon 2 (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [ c , a ] ] {- DP Nontop (Semlab 3 (Concon 1 (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [ c , c ] ] {- DP Nontop (Semlab 3 (Concon 3 (Mirror (Input 1)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 1 (Concon 2 (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, b] , [b, a] , [a, a] , [a, a] , [ a , b ] ] {- DP Nontop (Semlab 2 (Concon 2 (Mirror (Input 2)))) -}
reason
  EDG

**************************************************
skeleton: \Mirror(3,3)\TileAllRFC{2}(48,16)\Weight(13,9)\Deepee(28/13,15)\Weight(4/13,11)\EDG(3/13,11)\Matrix{\Arctic}{2}\EDG(2/13,11)\Matrix{\Arctic}{3}(1/13,11)\Weight(0/13,9)\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)])