/export/starexec/sandbox/solver/bin/starexec_run_tc21-9.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


--------------------------------------------------------------------------------


YES
**************************************************
summary
**************************************************
SRS with 8 rules on 5 letters       mirror
SRS with 8 rules on 5 letters       DP
SRS with 20 strict rules and 8 weak rules on 8 letters       weights
SRS with 2 strict rules and 8 weak rules on 6 letters       EDG
SRS with 2 strict rules and 6 weak rules on 5 letters       Usable
SRS with 2 strict rules and 6 weak rules on 5 letters       tile all, by Config   { method = Overlap,width = 2,unlabel = True}
SRS with 7 strict rules and 56 weak rules on 18 letters       weights
SRS with 0 strict rules and 16 weak rules on 7 letters       no strict rules

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [1, 2, 1] -> [2, 0, 2] {- Input 0 -}
  [0, 2, 1] -> [1, 0, 2] {- Input 1 -}
  [L, 2, 1] -> [L, 1, 0, 2] {- Input 2 -}
  [1, 2, 0] -> [2, 0, 1] {- Input 3 -}
  [1, 2, R] -> [2, 0, 1, R] {- Input 4 -}
  [0, 2, 0] -> [1, 0, 1] {- Input 5 -}
  [L, 2, 0] -> [L, 1, 0, 1] {- Input 6 -}
  [0, 2, R] -> [1, 0, 1, R] {- Input 7 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [1, 2, 1] -> [2, 0, 2] {- Mirror (Input 0) -}
  [1, 2, 0] -> [2, 0, 1] {- Mirror (Input 1) -}
  [1, 2, L] -> [2, 0, 1, L] {- Mirror (Input 2) -}
  [0, 2, 1] -> [1, 0, 2] {- Mirror (Input 3) -}
  [R, 2, 1] -> [R, 1, 0, 2] {- Mirror (Input 4) -}
  [0, 2, 0] -> [1, 0, 1] {- Mirror (Input 5) -}
  [0, 2, L] -> [1, 0, 1, L] {- Mirror (Input 6) -}
  [R, 2, 0] -> [R, 1, 0, 1] {- Mirror (Input 7) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [1, 2, 1] ->= [2, 0, 2] {- DP Nontop (Mirror (Input 0)) -}
  [1, 2, 0] ->= [2, 0, 1] {- DP Nontop (Mirror (Input 1)) -}
  [1, 2, L] ->= [2, 0, 1, L] {- DP Nontop (Mirror (Input 2)) -}
  [0, 2, 1] ->= [1, 0, 2] {- DP Nontop (Mirror (Input 3)) -}
  [R, 2, 1] ->= [R, 1, 0, 2] {- DP Nontop (Mirror (Input 4)) -}
  [0, 2, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 5)) -}
  [0, 2, L] ->= [1, 0, 1, L] {- DP Nontop (Mirror (Input 6)) -}
  [R, 2, 0] ->= [R, 1, 0, 1] {- DP Nontop (Mirror (Input 7)) -}
  [1#, 2, 1] |-> [0#, 2] {- DP (Top 1) (Mirror (Input 0)) -}
  [1#, 2, 0] |-> [1#] {- DP (Top 2) (Mirror (Input 1)) -}
  [1#, 2, 0] |-> [0#, 1] {- DP (Top 1) (Mirror (Input 1)) -}
  [1#, 2, L] |-> [1#, L] {- DP (Top 2) (Mirror (Input 2)) -}
  [1#, 2, L] |-> [0#, 1, L] {- DP (Top 1) (Mirror (Input 2)) -}
  [0#, 2, 1] |-> [1#, 0, 2] {- DP (Top 0) (Mirror (Input 3)) -}
  [0#, 2, 1] |-> [0#, 2] {- DP (Top 1) (Mirror (Input 3)) -}
  [0#, 2, 0] |-> [1#] {- DP (Top 2) (Mirror (Input 5)) -}
  [0#, 2, 0] |-> [1#, 0, 1] {- DP (Top 0) (Mirror (Input 5)) -}
  [0#, 2, 0] |-> [0#, 1] {- DP (Top 1) (Mirror (Input 5)) -}
  [0#, 2, L] |-> [1#, 0, 1, L] {- DP (Top 0) (Mirror (Input 6)) -}
  [0#, 2, L] |-> [1#, L] {- DP (Top 2) (Mirror (Input 6)) -}
  [0#, 2, L] |-> [0#, 1, L] {- DP (Top 1) (Mirror (Input 6)) -}
  [R#, 2, 1] |-> [1#, 0, 2] {- DP (Top 1) (Mirror (Input 4)) -}
  [R#, 2, 1] |-> [0#, 2] {- DP (Top 2) (Mirror (Input 4)) -}
  [R#, 2, 1] |-> [R#, 1, 0, 2] {- DP (Top 0) (Mirror (Input 4)) -}
  [R#, 2, 0] |-> [1#] {- DP (Top 3) (Mirror (Input 7)) -}
  [R#, 2, 0] |-> [1#, 0, 1] {- DP (Top 1) (Mirror (Input 7)) -}
  [R#, 2, 0] |-> [0#, 1] {- DP (Top 2) (Mirror (Input 7)) -}
  [R#, 2, 0] |-> [R#, 1, 0, 1] {- DP (Top 0) (Mirror (Input 7)) -}
reason
  (1, 1/3)
  (2, 2/3)
  (R#, 1/1)
   property Termination
has value Just True
for SRS
  [1, 2, 1] ->= [2, 0, 2] {- DP Nontop (Mirror (Input 0)) -}
  [1, 2, 0] ->= [2, 0, 1] {- DP Nontop (Mirror (Input 1)) -}
  [1, 2, L] ->= [2, 0, 1, L] {- DP Nontop (Mirror (Input 2)) -}
  [0, 2, 1] ->= [1, 0, 2] {- DP Nontop (Mirror (Input 3)) -}
  [R, 2, 1] ->= [R, 1, 0, 2] {- DP Nontop (Mirror (Input 4)) -}
  [0, 2, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 5)) -}
  [0, 2, L] ->= [1, 0, 1, L] {- DP Nontop (Mirror (Input 6)) -}
  [R, 2, 0] ->= [R, 1, 0, 1] {- DP Nontop (Mirror (Input 7)) -}
  [R#, 2, 1] |-> [R#, 1, 0, 2] {- DP (Top 0) (Mirror (Input 4)) -}
  [R#, 2, 0] |-> [R#, 1, 0, 1] {- DP (Top 0) (Mirror (Input 7)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [R#, 2, 1] |-> [R#, 1, 0, 2] {- DP (Top 0) (Mirror (Input 4)) -}
  [R#, 2, 0] |-> [R#, 1, 0, 1] {- DP (Top 0) (Mirror (Input 7)) -}
  [1, 2, 1] ->= [2, 0, 2] {- DP Nontop (Mirror (Input 0)) -}
  [1, 2, 0] ->= [2, 0, 1] {- DP Nontop (Mirror (Input 1)) -}
  [1, 2, L] ->= [2, 0, 1, L] {- DP Nontop (Mirror (Input 2)) -}
  [0, 2, 1] ->= [1, 0, 2] {- DP Nontop (Mirror (Input 3)) -}
  [0, 2, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 5)) -}
  [0, 2, L] ->= [1, 0, 1, L] {- DP Nontop (Mirror (Input 6)) -}
reason
  Usable
   property Termination
has value Just True
for SRS
  [R#, 2, 1] |-> [R#, 1, 0, 2] {- DP (Top 0) (Mirror (Input 4)) -}
  [R#, 2, 0] |-> [R#, 1, 0, 1] {- DP (Top 0) (Mirror (Input 7)) -}
  [1, 2, 1] ->= [2, 0, 2] {- DP Nontop (Mirror (Input 0)) -}
  [1, 2, 0] ->= [2, 0, 1] {- DP Nontop (Mirror (Input 1)) -}
  [1, 2, L] ->= [2, 0, 1, L] {- DP Nontop (Mirror (Input 2)) -}
  [0, 2, 1] ->= [1, 0, 2] {- DP Nontop (Mirror (Input 3)) -}
  [0, 2, 0] ->= [1, 0, 1] {- DP Nontop (Mirror (Input 5)) -}
  [0, 2, L] ->= [1, 0, 1, L] {- DP Nontop (Mirror (Input 6)) -}
reason
  Tiling   { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, unlabel = True, print_completion_steps = False, print_tiles = False, max_num_tiles = Just 1000, max_num_rules = Just 100000, verbose = False, tracing = False}
  steps 1
  using 18 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [[<, R#], [R#, 2], [2, 1], [1, >]] |-> [ [<, R#] , [R#, 1] , [1, 0] , [0, 2] , [ 2 , > ] ] {- Semlab 0 (Concon 0 (DP (Top 0) (Mirror (Input 4)))) -}
  [[<, R#], [R#, 2], [2, 1], [1, 1]] |-> [ [<, R#] , [R#, 1] , [1, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (DP (Top 0) (Mirror (Input 4)))) -}
  [[<, R#], [R#, 2], [2, 1], [1, 2]] |-> [ [<, R#] , [R#, 1] , [1, 0] , [0, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (DP (Top 0) (Mirror (Input 4)))) -}
  [[<, R#], [R#, 2], [2, 1], [1, 0]] |-> [ [<, R#] , [R#, 1] , [1, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 3 (DP (Top 0) (Mirror (Input 4)))) -}
  [[<, R#], [R#, 2], [2, 1], [1, L]] |-> [ [<, R#] , [R#, 1] , [1, 0] , [0, 2] , [ 2 , L ] ] {- Semlab 0 (Concon 4 (DP (Top 0) (Mirror (Input 4)))) -}
  [[<, R#], [R#, 2], [2, 0], [0, 1]] |-> [ [<, R#] , [R#, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 0 (Concon 0 (DP (Top 0) (Mirror (Input 7)))) -}
  [[<, R#], [R#, 2], [2, 0], [0, 2]] |-> [ [<, R#] , [R#, 1] , [1, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 0 (Concon 1 (DP (Top 0) (Mirror (Input 7)))) -}
  [[<, 1], [1, 2], [2, 1], [1, >]] ->= [ [<, 2] , [2, 0] , [0, 2] , [ 2 , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[<, 1], [1, 2], [2, 1], [1, 1]] ->= [ [<, 2] , [2, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[<, 1], [1, 2], [2, 1], [1, 2]] ->= [ [<, 2] , [2, 0] , [0, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[<, 1], [1, 2], [2, 1], [1, 0]] ->= [ [<, 2] , [2, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[<, 1], [1, 2], [2, 1], [1, L]] ->= [ [<, 2] , [2, 0] , [0, 2] , [ 2 , L ] ] {- Semlab 0 (Concon 4 (DP Nontop (Mirror (Input 0)))) -}
  [[1, 1], [1, 2], [2, 1], [1, >]] ->= [ [1, 2] , [2, 0] , [0, 2] , [ 2 , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[1, 1], [1, 2], [2, 1], [1, 1]] ->= [ [1, 2] , [2, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[1, 1], [1, 2], [2, 1], [1, 2]] ->= [ [1, 2] , [2, 0] , [0, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[1, 1], [1, 2], [2, 1], [1, 0]] ->= [ [1, 2] , [2, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[1, 1], [1, 2], [2, 1], [1, L]] ->= [ [1, 2] , [2, 0] , [0, 2] , [ 2 , L ] ] {- Semlab 1 (Concon 4 (DP Nontop (Mirror (Input 0)))) -}
  [[2, 1], [1, 2], [2, 1], [1, >]] ->= [ [2, 2] , [2, 0] , [0, 2] , [ 2 , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[2, 1], [1, 2], [2, 1], [1, 1]] ->= [ [2, 2] , [2, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[2, 1], [1, 2], [2, 1], [1, 2]] ->= [ [2, 2] , [2, 0] , [0, 2] , [ 2 , 2 ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[2, 1], [1, 2], [2, 1], [1, 0]] ->= [ [2, 2] , [2, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[2, 1], [1, 2], [2, 1], [1, L]] ->= [ [2, 2] , [2, 0] , [0, 2] , [ 2 , L ] ] {- Semlab 2 (Concon 4 (DP Nontop (Mirror (Input 0)))) -}
  [[0, 1], [1, 2], [2, 1], [1, >]] ->= [ [0, 2] , [2, 0] , [0, 2] , [ 2 , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[0, 1], [1, 2], [2, 1], [1, 1]] ->= [ [0, 2] , [2, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[0, 1], [1, 2], [2, 1], [1, 2]] ->= [ [0, 2] , [2, 0] , [0, 2] , [ 2 , 2 ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[0, 1], [1, 2], [2, 1], [1, 0]] ->= [ [0, 2] , [2, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[0, 1], [1, 2], [2, 1], [1, L]] ->= [ [0, 2] , [2, 0] , [0, 2] , [ 2 , L ] ] {- Semlab 3 (Concon 4 (DP Nontop (Mirror (Input 0)))) -}
  [[R#, 1], [1, 2], [2, 1], [1, >]] ->= [ [R#, 2] , [2, 0] , [0, 2] , [ 2 , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[R#, 1], [1, 2], [2, 1], [1, 1]] ->= [ [R#, 2] , [2, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[R#, 1], [1, 2], [2, 1], [1, 2]] ->= [ [R#, 2] , [2, 0] , [0, 2] , [ 2 , 2 ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[R#, 1], [1, 2], [2, 1], [1, 0]] ->= [ [R#, 2] , [2, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[R#, 1], [1, 2], [2, 1], [1, L]] ->= [ [R#, 2] , [2, 0] , [0, 2] , [ 2 , L ] ] {- Semlab 4 (Concon 4 (DP Nontop (Mirror (Input 0)))) -}
  [[<, 1], [1, 2], [2, 0], [0, 1]] ->= [ [<, 2] , [2, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[<, 1], [1, 2], [2, 0], [0, 2]] ->= [ [<, 2] , [2, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[1, 1], [1, 2], [2, 0], [0, 1]] ->= [ [1, 2] , [2, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[1, 1], [1, 2], [2, 0], [0, 2]] ->= [ [1, 2] , [2, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[2, 1], [1, 2], [2, 0], [0, 1]] ->= [ [2, 2] , [2, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[2, 1], [1, 2], [2, 0], [0, 2]] ->= [ [2, 2] , [2, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[0, 1], [1, 2], [2, 0], [0, 1]] ->= [ [0, 2] , [2, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[0, 1], [1, 2], [2, 0], [0, 2]] ->= [ [0, 2] , [2, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[R#, 1], [1, 2], [2, 0], [0, 1]] ->= [ [R#, 2] , [2, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[R#, 1], [1, 2], [2, 0], [0, 2]] ->= [ [R#, 2] , [2, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[<, 1], [1, 2], [2, L], [L, >]] ->= [ [<, 2] , [2, 0] , [0, 1] , [1, L] , [ L , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[1, 1], [1, 2], [2, L], [L, >]] ->= [ [1, 2] , [2, 0] , [0, 1] , [1, L] , [ L , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[2, 1], [1, 2], [2, L], [L, >]] ->= [ [2, 2] , [2, 0] , [0, 1] , [1, L] , [ L , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[0, 1], [1, 2], [2, L], [L, >]] ->= [ [0, 2] , [2, 0] , [0, 1] , [1, L] , [ L , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[R#, 1], [1, 2], [2, L], [L, >]] ->= [ [R#, 2] , [2, 0] , [0, 1] , [1, L] , [ L , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[1, 0], [0, 2], [2, 1], [1, >]] ->= [ [1, 1] , [1, 0] , [0, 2] , [ 2 , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 3)))) -}
  [[1, 0], [0, 2], [2, 1], [1, 1]] ->= [ [1, 1] , [1, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[1, 0], [0, 2], [2, 1], [1, 2]] ->= [ [1, 1] , [1, 0] , [0, 2] , [ 2 , 2 ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 3)))) -}
  [[1, 0], [0, 2], [2, 1], [1, 0]] ->= [ [1, 1] , [1, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[1, 0], [0, 2], [2, 1], [1, L]] ->= [ [1, 1] , [1, 0] , [0, 2] , [ 2 , L ] ] {- Semlab 0 (Concon 4 (DP Nontop (Mirror (Input 3)))) -}
  [[2, 0], [0, 2], [2, 1], [1, >]] ->= [ [2, 1] , [1, 0] , [0, 2] , [ 2 , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 3)))) -}
  [[2, 0], [0, 2], [2, 1], [1, 1]] ->= [ [2, 1] , [1, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[2, 0], [0, 2], [2, 1], [1, 2]] ->= [ [2, 1] , [1, 0] , [0, 2] , [ 2 , 2 ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 3)))) -}
  [[2, 0], [0, 2], [2, 1], [1, 0]] ->= [ [2, 1] , [1, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[2, 0], [0, 2], [2, 1], [1, L]] ->= [ [2, 1] , [1, 0] , [0, 2] , [ 2 , L ] ] {- Semlab 1 (Concon 4 (DP Nontop (Mirror (Input 3)))) -}
  [[1, 0], [0, 2], [2, 0], [0, 1]] ->= [ [1, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 5)))) -}
  [[1, 0], [0, 2], [2, 0], [0, 2]] ->= [ [1, 1] , [1, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 5)))) -}
  [[2, 0], [0, 2], [2, 0], [0, 1]] ->= [ [2, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 5)))) -}
  [[2, 0], [0, 2], [2, 0], [0, 2]] ->= [ [2, 1] , [1, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 5)))) -}
  [[1, 0], [0, 2], [2, L], [L, >]] ->= [ [1, 1] , [1, 0] , [0, 1] , [1, L] , [ L , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 6)))) -}
  [[2, 0], [0, 2], [2, L], [L, >]] ->= [ [2, 1] , [1, 0] , [0, 1] , [1, L] , [ L , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 6)))) -}
reason
  ([R#, 2], 16/1)
  ([2, 1], 11/1)
  ([1, >], 1/1)
  ([0, 2], 22/1)
  ([1, 1], 11/1)
  ([1, 2], 33/1)
  ([1, L], 5/1)
  ([<, 1], 1/1)
   property Termination
has value Just True
for SRS
  [[1, 1], [1, 2], [2, 1], [1, 1]] ->= [ [1, 2] , [2, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[1, 1], [1, 2], [2, 1], [1, 0]] ->= [ [1, 2] , [2, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[0, 1], [1, 2], [2, 1], [1, 1]] ->= [ [0, 2] , [2, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[0, 1], [1, 2], [2, 1], [1, 0]] ->= [ [0, 2] , [2, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[1, 1], [1, 2], [2, 0], [0, 1]] ->= [ [1, 2] , [2, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[1, 1], [1, 2], [2, 0], [0, 2]] ->= [ [1, 2] , [2, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[0, 1], [1, 2], [2, 0], [0, 1]] ->= [ [0, 2] , [2, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[0, 1], [1, 2], [2, 0], [0, 2]] ->= [ [0, 2] , [2, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[1, 0], [0, 2], [2, 1], [1, 1]] ->= [ [1, 1] , [1, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[1, 0], [0, 2], [2, 1], [1, 0]] ->= [ [1, 1] , [1, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[2, 0], [0, 2], [2, 1], [1, 1]] ->= [ [2, 1] , [1, 0] , [0, 2] , [ 2 , 1 ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 3)))) -}
  [[2, 0], [0, 2], [2, 1], [1, 0]] ->= [ [2, 1] , [1, 0] , [0, 2] , [ 2 , 0 ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 3)))) -}
  [[1, 0], [0, 2], [2, 0], [0, 1]] ->= [ [1, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 5)))) -}
  [[1, 0], [0, 2], [2, 0], [0, 2]] ->= [ [1, 1] , [1, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 5)))) -}
  [[2, 0], [0, 2], [2, 0], [0, 1]] ->= [ [2, 1] , [1, 0] , [0, 1] , [ 1 , 1 ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 5)))) -}
  [[2, 0], [0, 2], [2, 0], [0, 2]] ->= [ [2, 1] , [1, 0] , [0, 1] , [ 1 , 2 ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 5)))) -}
reason
  no strict rules

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skeleton: \Mirror(8,5)\Deepee(20/8,8)\Weight(2/8,6)\EDG\Usable(2/6,5)\TileAllROC{2}(7/56,18)\Weight(0/16,7)[]
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let {}
in let {trac ?= False;loop_cap = 1;match_cap = 2;tile_cap = 3;matrix_cap = 4;mo = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;done = Worker No_Strict_Rules;dont = \ p -> Fail;tiling = \ m w -> On tile_cap (weighted (And_Then (Worker (Tiling {method = m,width = w,map_type = Enum,max_num_tiles = Just 1000,max_num_rules = Just 100000})) (Worker Remap)));tile_roc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Overlap w)) <> [ Worker Unlabel];mb = \ size -> On match_cap (Apply (Worker (Matchbound {method = RFC,max_size = Just size})) done);mbs = \ size -> First_Of [ mb size, Apply (Worker Mirror) (mb size)];tile_rfc = Tree_Search_Preemptive 0 done let {ws = [ 2, 4, 8, 12]}in (for ws (\ w -> tiling Forward w)) <> ((for ws (\ w -> tiling Backward w)) <> [ Worker Unlabel]);solver = Minisatapi;qpi = \ dim bits -> On matrix_cap (weighted (Worker (QPI {tracing = trac,dim = dim,bits = bits,solver = solver})));qpis = Seq [ Timeout 10 (qpi 2 3), Timeout 30 (qpi 4 3), Timeout 50 (qpi 6 3), qpi 8 3];kbo = \ b -> On matrix_cap (weighted (Worker (KBO {bits = b,solver = solver})));matrix = \ dom dim bits -> On matrix_cap (weighted (Worker (Matrix {monotone = Weak,domain = dom,dim = dim,bits = bits,encoding = Ersatz_Binary,tracing = trac,verbose = True,solver = solver})));arctics = Seq [ Timeout 10 (matrix Arctic 2 16), Timeout 30 (matrix Arctic 4 8), Timeout 50 (matrix Arctic 6 4), matrix Arctic 8 2];naturals = Seq [ Timeout 10 (matrix Natural 2 4), Timeout 30 (matrix Natural 4 3), Timeout 50 (matrix Natural 6 2), matrix Natural 8 1];remove = First_Of [ qpis, arctics, naturals, As_Transformer tile_roc];remove_wop = And_Then wop (Or_Else (As_Transformer (Worker No_Strict_Rules)) remove);deepee = Apply (And_Then (Worker DP) (Worker Remap)) (Apply wop (Branch (Worker (EDG {tracing = False,usable = True})) remove_wop));when_small = \ m -> Apply (Worker (SizeAtmost 1000)) m;yeah = First_Of [ when_small (First_Of [ deepee, Apply (Worker Mirror) deepee]), tile_rfc, mbs 100000];noh_for = \ side -> Worker (Simple (Config {closure = side,max_closure_width = Nothing,intermediates = All,priority = Linear [ ( 1, Log2 Steps), ( -1, Width_lhs), ( -2, Log2 Width_rhs)]}));noh = First_Of [ On loop_cap (noh_for Forward), On loop_cap (noh_for Backward), On loop_cap (Worker Transport)]}
  in Apply (Worker Remap) (Apply wop (Seq [ Worker KKST01, First_Of [ yeah, noh]]))
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statistics on proof search (nodes types that (together) took more than 1.000000000000)
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