/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 2 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 27 rules on 8 letters       weights
SRS with 7 rules on 6 letters       mirror
SRS with 7 rules on 6 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 42 rules on 17 letters       weights
SRS with 1 rules on 6 letters       mirror
SRS with 1 rules on 6 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 0 rules on 0 letters       no strict rules

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [b, b, b, b] -> [b, b, a, a] {- Input 0 -}
  [b, b, a, a] -> [a, b, a, b] {- Input 1 -}
  [a, b, a, a] -> [a, b, a, b] {- Input 2 -}
reason
  Tiling   { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False}
  steps 0
  using 8 tiles
  tile all rules
  steps: 0
  
   property Termination
has value Just True
for SRS
  [[<, b], [b, b], [b, b], [b, b], [b, >]] -> [ [<, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Input 0)) -}
  [[<, b], [b, b], [b, b], [b, b], [b, b]] -> [ [<, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 1 (Input 0)) -}
  [[<, b], [b, b], [b, b], [b, b], [b, a]] -> [ [<, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 2 (Input 0)) -}
  [[b, b], [b, b], [b, b], [b, b], [b, >]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -}
  [[b, b], [b, b], [b, b], [b, b], [b, b]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 1 (Input 0)) -}
  [[b, b], [b, b], [b, b], [b, b], [b, a]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 2 (Input 0)) -}
  [[a, b], [b, b], [b, b], [b, b], [b, >]] -> [ [a, b] , [b, b] , [b, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Input 0)) -}
  [[a, b], [b, b], [b, b], [b, b], [b, b]] -> [ [a, b] , [b, b] , [b, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 1 (Input 0)) -}
  [[a, b], [b, b], [b, b], [b, b], [b, a]] -> [ [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 2 (Input 0)) -}
  [[<, b], [b, b], [b, a], [a, a], [a, >]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -}
  [[<, b], [b, b], [b, a], [a, a], [a, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 1 (Input 1)) -}
  [[<, b], [b, b], [b, a], [a, a], [a, a]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 2 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, a], [a, >]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, a], [a, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 1)) -}
  [[b, b], [b, b], [b, a], [a, a], [a, a]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 2 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, a], [a, >]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[a, b], [b, b], [b, a], [a, a], [a, a]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 2 (Input 1)) -}
  [[<, a], [a, b], [b, a], [a, a], [a, >]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 2)) -}
  [[<, a], [a, b], [b, a], [a, a], [a, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 1 (Input 2)) -}
  [[<, a], [a, b], [b, a], [a, a], [a, a]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 2 (Input 2)) -}
  [[b, a], [a, b], [b, a], [a, a], [a, >]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 2)) -}
  [[b, a], [a, b], [b, a], [a, a], [a, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 2)) -}
  [[b, a], [a, b], [b, a], [a, a], [a, a]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 2 (Input 2)) -}
  [[a, a], [a, b], [b, a], [a, a], [a, >]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 2)) -}
  [[a, a], [a, b], [b, a], [a, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 2)) -}
  [[a, a], [a, b], [b, a], [a, a], [a, a]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 2 (Input 2)) -}
reason
  ([<, b], 1/1)
  ([b, b], 1/30)
  ([a, a], 1/30)
   property Termination
has value Just True
for SRS
  [[<, b], [b, b], [b, b], [b, b], [b, a]] -> [ [<, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 2 (Input 0)) -}
  [[b, b], [b, b], [b, b], [b, b], [b, a]] -> [ [b, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 2 (Input 0)) -}
  [[a, b], [b, b], [b, b], [b, b], [b, a]] -> [ [a, b] , [b, b] , [b, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 2 (Input 0)) -}
  [[a, b], [b, b], [b, a], [a, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[<, a], [a, b], [b, a], [a, a], [a, b]] -> [ [<, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 1 (Input 2)) -}
  [[b, a], [a, b], [b, a], [a, a], [a, b]] -> [ [b, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 2)) -}
  [[a, a], [a, b], [b, a], [a, a], [a, b]] -> [ [a, a] , [a, b] , [b, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 2)) -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [[b, a], [b, b], [b, b], [b, b], [<, b]] -> [ [a, a] , [a, a] , [b, a] , [b, b] , [ < , b ] ] {- Mirror (Semlab 0 (Concon 2 (Input 0))) -}
  [[b, a], [b, b], [b, b], [b, b], [b, b]] -> [ [a, a] , [a, a] , [b, a] , [b, b] , [ b , b ] ] {- Mirror (Semlab 1 (Concon 2 (Input 0))) -}
  [[b, a], [b, b], [b, b], [b, b], [a, b]] -> [ [a, a] , [a, a] , [b, a] , [b, b] , [ a , b ] ] {- Mirror (Semlab 2 (Concon 2 (Input 0))) -}
  [[a, b], [a, a], [b, a], [b, b], [a, b]] -> [ [b, b] , [a, b] , [b, a] , [a, b] , [ a , a ] ] {- Mirror (Semlab 2 (Concon 1 (Input 1))) -}
  [[a, b], [a, a], [b, a], [a, b], [<, a]] -> [ [b, b] , [a, b] , [b, a] , [a, b] , [ < , a ] ] {- Mirror (Semlab 0 (Concon 1 (Input 2))) -}
  [[a, b], [a, a], [b, a], [a, b], [b, a]] -> [ [b, b] , [a, b] , [b, a] , [a, b] , [ b , a ] ] {- Mirror (Semlab 1 (Concon 1 (Input 2))) -}
  [[a, b], [a, a], [b, a], [a, b], [a, a]] -> [ [b, b] , [a, b] , [b, a] , [a, b] , [ a , 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 1
  using 19 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [<, b]] , [[<, b], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [<, b]] , [ [<, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 0 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [<, b]] , [[<, b], >] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [<, b]] , [ [<, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 0 (Concon 2 (Input 0))))) -}
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -}
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [<, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ < , b ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -}
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -}
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ a , b ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], >] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [ [b, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [<, b]] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ < , b ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ b , b ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [ [b, b] , [ a , b ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 1 (Concon 2 (Input 0))))) -}
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], >] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -}
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -}
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -}
  [ [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [<, a]] ] -> [ [[a, a], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], >] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [ [a, b] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -}
  [ [[a, b], [b, a]] , [[b, a], [b, b]] , [[b, b], [b, b]] , [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [<, a]] ] -> [ [[a, b], [a, a]] , [[a, a], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [ [a, b] , [ < , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 2 (Input 0))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], >] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [<, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], >] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [a, a]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [<, a]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [<, a]] , [[<, a], >] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [<, a]] , [ [<, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 0 (Concon 1 (Input 2))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [<, a]] , [[<, a], >] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [<, a]] , [ [<, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 0 (Concon 1 (Input 2))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [b, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ b , b ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], >] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [b, b]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ b , b ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [ [b, a] , [ a , b ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 1 (Concon 1 (Input 2))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], >] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , > ] ] {- Semlab 0 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ b , a ] ] ] {- Semlab 0 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 0 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -}
  [ [[b, b], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [<, a]] ] -> [ [[b, b], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 0 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], >] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , > ] ] {- Semlab 1 (Concon 0 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [a, a]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ a , a ] ] ] {- Semlab 1 (Concon 2 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -}
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [<, a]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ < , a ] ] ] {- Semlab 1 (Concon 3 (Mirror (Semlab 2 (Concon 1 (Input 2))))) -}
reason
  ([[a, a], [b, a]], 11/2)
  ([[b, a], [b, b]], 5/1)
  ([[b, b], [b, b]], 4/1)
  ([[a, b], [a, a]], 3/2)
  ([[b, b], [a, b]], 1/1)
  ([[a, b], >], 1/1)
  ([[a, b], [<, a]], 1/1)
   property Termination
has value Just True
for SRS
  [ [[b, a], [a, b]] , [[a, b], [a, a]] , [[a, a], [b, a]] , [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] ] -> [ [[b, a], [b, b]] , [[b, b], [a, b]] , [[a, b], [b, a]] , [[b, a], [a, b]] , [[a, b], [a, a]] , [ [a, a] , [ b , a ] ] ] {- Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 1))))) -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [ [[a, b], [b, a]] , [[b, b], [a, b]] , [[b, a], [b, b]] , [[a, a], [b, a]] , [[a, b], [a, a]] , [[b, a], [a, b]] ] -> [ [[a, a], [b, a]] , [[a, b], [a, a]] , [[b, a], [a, b]] , [[a, b], [b, a]] , [[b, b], [a, b]] , [ [b, a] , [ b , b ] ] ] {- Mirror (Semlab 1 (Concon 1 (Mirror (Semlab 2 (Concon 1 (Input 1)))))) -}
reason
  Tiling   { method = Forward, width = 2, state_type = Bit64, map_type = Enum, unlabel = False, print_completion_steps = False, print_tiles = False, verbose = False, tracing = False}
  steps 1
  using 8 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

**************************************************
skeleton: (3,2)\TileAllRFC{2}(27,8)\Weight\Mirror(7,6)\TileAllRFC{2}(42,17)\Weight\Mirror(1,6)\TileAllRFC{2}(0,0)[]
**************************************************
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)])