/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 3 rules on 3 letters       mirror
SRS with 3 rules on 3 letters       DP
SRS with 6 strict rules and 3 weak rules on 6 letters       EDG
SRS with 6 strict rules and 3 weak rules on 6 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 8, encoding = Ersatz_Binary, dim = 4, solver = Minisatapi, verbose = True, tracing = False}
SRS with 5 strict rules and 3 weak rules on 6 letters       weights
SRS with 2 strict rules and 3 weak rules on 5 letters       EDG
SRS with 2 strict rules and 3 weak rules on 5 letters       tile all, by Config   { method = Overlap,width = 2,unlabel = True}
SRS with 7 strict rules and 62 weak rules on 22 letters       weights
SRS with 2 strict rules and 38 weak rules on 21 letters       remove some, by Config   { method = Overlap,width = 2,unlabel = True}
SRS with 1 strict rules and 26 weak rules on 21 letters       weights
SRS with 0 strict rules and 26 weak rules on 17 letters       no strict rules

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a] -> [b, c] {- Input 0 -}
  [b, a, b] -> [a, a, a] {- Input 1 -}
  [c, c] -> [a] {- Input 2 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a] -> [c, b] {- Mirror (Input 0) -}
  [b, a, b] -> [a, a, a] {- Mirror (Input 1) -}
  [c, c] -> [a] {- Mirror (Input 2) -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, a, b] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a] {- DP Nontop (Mirror (Input 2)) -}
  [a#] |-> [b#] {- DP (Top 1) (Mirror (Input 0)) -}
  [a#] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [b#, a, b] |-> [a#] {- DP (Top 2) (Mirror (Input 1)) -}
  [b#, a, b] |-> [a#, a] {- DP (Top 1) (Mirror (Input 1)) -}
  [b#, a, b] |-> [a#, a, a] {- DP (Top 0) (Mirror (Input 1)) -}
  [c#, c] |-> [a#] {- DP (Top 0) (Mirror (Input 2)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [a#] |-> [b#] {- DP (Top 1) (Mirror (Input 0)) -}
  [b#, a, b] |-> [a#, a, a] {- DP (Top 0) (Mirror (Input 1)) -}
  [a#] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [c#, c] |-> [a#] {- DP (Top 0) (Mirror (Input 2)) -}
  [b#, a, b] |-> [a#, a] {- DP (Top 1) (Mirror (Input 1)) -}
  [b#, a, b] |-> [a#] {- DP (Top 2) (Mirror (Input 1)) -}
  [a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, a, b] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a] {- DP Nontop (Mirror (Input 2)) -}
reason
  ( a
  , Wk  / 0A 3A 0A 1A \
        | -  0A -  -  |
        | 0A 3A 0A 1A |
        \ -  -  -  0A / )
  ( c
  , Wk  / 0A 0A 3A 1A \
        | -  -  0A -  |
        | 0A 0A 3A 1A |
        \ -  -  -  0A / )
  ( b
  , Wk  / 0A 0A 0A 0A \
        | 0A 3A 0A 1A |
        | -  0A -  -  |
        \ -  -  -  0A / )
  ( a#
  , Wk  / 1A 1A 1A 4A \
        | -  -  -  -  |
        | -  -  -  -  |
        \ -  -  -  0A / )
  ( b#
  , Wk  / 0A - 0A 3A \
        | -  - -  -  |
        | -  - -  -  |
        \ -  - -  0A / )
  ( c#
  , Wk  / 1A - - 4A \
        | -  - - -  |
        | -  - - -  |
        \ -  - - 0A / )
   property Termination
has value Just True
for SRS
  [b#, a, b] |-> [a#, a, a] {- DP (Top 0) (Mirror (Input 1)) -}
  [a#] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [c#, c] |-> [a#] {- DP (Top 0) (Mirror (Input 2)) -}
  [b#, a, b] |-> [a#, a] {- DP (Top 1) (Mirror (Input 1)) -}
  [b#, a, b] |-> [a#] {- DP (Top 2) (Mirror (Input 1)) -}
  [a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, a, b] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a] {- DP Nontop (Mirror (Input 2)) -}
reason
  (b#, 3/1)
   property Termination
has value Just True
for SRS
  [a#] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [c#, c] |-> [a#] {- DP (Top 0) (Mirror (Input 2)) -}
  [a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, a, b] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a] {- DP Nontop (Mirror (Input 2)) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [a#] |-> [c#, b] {- DP (Top 0) (Mirror (Input 0)) -}
  [c#, c] |-> [a#] {- DP (Top 0) (Mirror (Input 2)) -}
  [a] ->= [c, b] {- DP Nontop (Mirror (Input 0)) -}
  [b, a, b] ->= [a, a, a] {- DP Nontop (Mirror (Input 1)) -}
  [c, c] ->= [a] {- DP Nontop (Mirror (Input 2)) -}
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 3
  using 22 tiles
  tile all rules
  steps: 3
  
   property Termination
has value Just True
for SRS
  [[<, a#], [a#, >]] |-> [ [<, c#] , [c#, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (DP (Top 0) (Mirror (Input 0)))) -}
  [[<, a#], [a#, a]] |-> [ [<, c#] , [c#, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (DP (Top 0) (Mirror (Input 0)))) -}
  [[<, a#], [a#, c]] |-> [ [<, c#] , [c#, b] , [ b , c ] ] {- Semlab 0 (Concon 2 (DP (Top 0) (Mirror (Input 0)))) -}
  [[<, a#], [a#, b]] |-> [ [<, c#] , [c#, b] , [ b , b ] ] {- Semlab 0 (Concon 3 (DP (Top 0) (Mirror (Input 0)))) -}
  [[<, c#], [c#, c], [c, a]] |-> [ [<, a#] , [ a# , a ] ] {- Semlab 0 (Concon 0 (DP (Top 0) (Mirror (Input 2)))) -}
  [[<, c#], [c#, c], [c, c]] |-> [ [<, a#] , [ a# , c ] ] {- Semlab 0 (Concon 1 (DP (Top 0) (Mirror (Input 2)))) -}
  [[<, c#], [c#, c], [c, b]] |-> [ [<, a#] , [ a# , b ] ] {- Semlab 0 (Concon 2 (DP (Top 0) (Mirror (Input 2)))) -}
  [[<, a], [a, >]] ->= [ [<, c] , [c, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, a]] ->= [ [<, c] , [c, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, c]] ->= [ [<, c] , [c, b] , [ b , c ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, b]] ->= [ [<, c] , [c, b] , [ b , b ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, >]] ->= [ [a, c] , [c, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, >]] ->= [ [c, c] , [c, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, >]] ->= [ [b, c] , [c, b] , [ b , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, >]] ->= [ [a#, c] , [c, b] , [ b , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, a]] ->= [ [a#, c] , [c, b] , [ b , a ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, c]] ->= [ [a#, c] , [c, b] , [ b , c ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, b]] ->= [ [a#, c] , [c, b] , [ b , b ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, >]] ->= [ [c#, c] , [c, b] , [ b , > ] ] {- Semlab 5 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, a]] ->= [ [c#, c] , [c, b] , [ b , a ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, c]] ->= [ [c#, c] , [c, b] , [ b , c ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, b]] ->= [ [c#, c] , [c, b] , [ b , b ] ] {- Semlab 5 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a, b], [b, a], [a, b], [b, >]] ->= [ [a, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[a, b], [b, a], [a, b], [b, a]] ->= [ [a, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[a, b], [b, a], [a, b], [b, c]] ->= [ [a, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[a, b], [b, a], [a, b], [b, b]] ->= [ [a, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, >]] ->= [ [c, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [c, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [c, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, b]] ->= [ [c, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[b, b], [b, a], [a, b], [b, >]] ->= [ [b, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[b, b], [b, a], [a, b], [b, a]] ->= [ [b, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[b, b], [b, a], [a, b], [b, c]] ->= [ [b, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[b, b], [b, a], [a, b], [b, b]] ->= [ [b, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[a#, b], [b, a], [a, b], [b, >]] ->= [ [a#, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[a#, b], [b, a], [a, b], [b, a]] ->= [ [a#, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[a#, b], [b, a], [a, b], [b, c]] ->= [ [a#, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[a#, b], [b, a], [a, b], [b, b]] ->= [ [a#, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[c#, b], [b, a], [a, b], [b, >]] ->= [ [c#, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[c#, b], [b, a], [a, b], [b, a]] ->= [ [c#, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[c#, b], [b, a], [a, b], [b, c]] ->= [ [c#, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[c#, b], [b, a], [a, b], [b, b]] ->= [ [c#, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[<, c], [c, c], [c, a]] ->= [ [<, a] , [ a , a ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[<, c], [c, c], [c, c]] ->= [ [<, a] , [ a , c ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[<, c], [c, c], [c, b]] ->= [ [<, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a, c], [c, c], [c, a]] ->= [ [a, a] , [ a , a ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[a, c], [c, c], [c, c]] ->= [ [a, a] , [ a , c ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c, c], [c, c], [c, a]] ->= [ [c, a] , [ a , a ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[c, c], [c, c], [c, c]] ->= [ [c, a] , [ a , c ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[c, c], [c, c], [c, b]] ->= [ [c, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, a]] ->= [ [b, a] , [ a , a ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, c]] ->= [ [b, a] , [ a , c ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, c], [c, c], [c, a]] ->= [ [a#, a] , [ a , a ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, c], [c, c], [c, c]] ->= [ [a#, a] , [ a , c ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, c], [c, c], [c, b]] ->= [ [a#, a] , [ a , b ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c#, c], [c, c], [c, a]] ->= [ [c#, a] , [ a , a ] ] {- Semlab 5 (Concon 0 (DP Nontop (Mirror (Input 2)))) -}
  [[c#, c], [c, c], [c, c]] ->= [ [c#, a] , [ a , c ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 2)))) -}
  [[c#, c], [c, c], [c, b]] ->= [ [c#, a] , [ a , b ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
reason
  ([a#, >], 1/1)
  ([a#, a], 1/2)
  ([a#, c], 1/2)
  ([a#, b], 3/4)
  ([b, b], 3/4)
  ([c#, c], 3/4)
  ([c, a], 3/4)
  ([c, c], 3/4)
  ([a, b], 3/4)
  ([c#, a], 3/4)
   property Termination
has value Just True
for SRS
  [[<, a#], [a#, b]] |-> [ [<, c#] , [c#, b] , [ b , b ] ] {- Semlab 0 (Concon 3 (DP (Top 0) (Mirror (Input 0)))) -}
  [[<, c#], [c#, c], [c, b]] |-> [ [<, a#] , [ a# , b ] ] {- Semlab 0 (Concon 2 (DP (Top 0) (Mirror (Input 2)))) -}
  [[<, a], [a, >]] ->= [ [<, c] , [c, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, a]] ->= [ [<, c] , [c, b] , [ b , a ] ] {- Semlab 0 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, c]] ->= [ [<, c] , [c, b] , [ b , c ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[<, a], [a, b]] ->= [ [<, c] , [c, b] , [ b , b ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, >]] ->= [ [a, c] , [c, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, >]] ->= [ [c, c] , [c, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, >]] ->= [ [b, c] , [c, b] , [ b , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, >]] ->= [ [a#, c] , [c, b] , [ b , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, a]] ->= [ [a#, c] , [c, b] , [ b , a ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, c]] ->= [ [a#, c] , [c, b] , [ b , c ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, b]] ->= [ [a#, c] , [c, b] , [ b , b ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, >]] ->= [ [c#, c] , [c, b] , [ b , > ] ] {- Semlab 5 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, a]] ->= [ [c#, c] , [c, b] , [ b , a ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, c]] ->= [ [c#, c] , [c, b] , [ b , c ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, b]] ->= [ [c#, c] , [c, b] , [ b , b ] ] {- Semlab 5 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, >]] ->= [ [c, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [c, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [c, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, b]] ->= [ [c, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[c#, b], [b, a], [a, b], [b, >]] ->= [ [c#, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 4 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[c#, b], [b, a], [a, b], [b, a]] ->= [ [c#, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 4 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[c#, b], [b, a], [a, b], [b, c]] ->= [ [c#, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[c#, b], [b, a], [a, b], [b, b]] ->= [ [c#, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[<, c], [c, c], [c, b]] ->= [ [<, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c, c], [c, c], [c, b]] ->= [ [c, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, c], [c, c], [c, b]] ->= [ [a#, a] , [ a , b ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c#, c], [c, c], [c, b]] ->= [ [c#, a] , [ a , b ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
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 2
  using 76 tiles
  remove some unmatched rules
  steps: 2
  
   property Termination
has value Just True
for SRS
  [[<, a#], [a#, b]] |-> [ [<, c#] , [c#, b] , [ b , b ] ] {- Semlab 0 (Concon 3 (DP (Top 0) (Mirror (Input 0)))) -}
  [[<, a], [a, b]] ->= [ [<, c] , [c, b] , [ b , b ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, >]] ->= [ [a, c] , [c, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, >]] ->= [ [b, c] , [c, b] , [ b , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, b]] ->= [ [a#, c] , [c, b] , [ b , b ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, a]] ->= [ [c#, c] , [c, b] , [ b , a ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, c]] ->= [ [c#, c] , [c, b] , [ b , c ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, b]] ->= [ [c#, c] , [c, b] , [ b , b ] ] {- Semlab 5 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, >]] ->= [ [c, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [c, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [c, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, b]] ->= [ [c, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[<, c], [c, c], [c, b]] ->= [ [<, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c, c], [c, c], [c, b]] ->= [ [c, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, c], [c, c], [c, b]] ->= [ [a#, a] , [ a , b ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c#, c], [c, c], [c, b]] ->= [ [c#, a] , [ a , b ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
reason
  ([<, a#], 1/1)
  ([a#, b], 1/1)
   property Termination
has value Just True
for SRS
  [[<, a], [a, b]] ->= [ [<, c] , [c, b] , [ b , b ] ] {- Semlab 0 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, >]] ->= [ [a, c] , [c, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, a]] ->= [ [a, c] , [c, b] , [ b , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, c]] ->= [ [a, c] , [c, b] , [ b , c ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[a, a], [a, b]] ->= [ [a, c] , [c, b] , [ b , b ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, a]] ->= [ [c, c] , [c, b] , [ b , a ] ] {- Semlab 2 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, c]] ->= [ [c, c] , [c, b] , [ b , c ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c, a], [a, b]] ->= [ [c, c] , [c, b] , [ b , b ] ] {- Semlab 2 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, >]] ->= [ [b, c] , [c, b] , [ b , > ] ] {- Semlab 3 (Concon 0 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, a]] ->= [ [b, c] , [c, b] , [ b , a ] ] {- Semlab 3 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, c]] ->= [ [b, c] , [c, b] , [ b , c ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[b, a], [a, b]] ->= [ [b, c] , [c, b] , [ b , b ] ] {- Semlab 3 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[a#, a], [a, b]] ->= [ [a#, c] , [c, b] , [ b , b ] ] {- Semlab 4 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, a]] ->= [ [c#, c] , [c, b] , [ b , a ] ] {- Semlab 5 (Concon 1 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, c]] ->= [ [c#, c] , [c, b] , [ b , c ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 0)))) -}
  [[c#, a], [a, b]] ->= [ [c#, c] , [c, b] , [ b , b ] ] {- Semlab 5 (Concon 3 (DP Nontop (Mirror (Input 0)))) -}
  [[c, b], [b, a], [a, b], [b, >]] ->= [ [c, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, a]] ->= [ [c, a] , [a, a] , [a, a] , [ a , a ] ] {- Semlab 1 (Concon 1 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, c]] ->= [ [c, a] , [a, a] , [a, a] , [ a , c ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 1)))) -}
  [[c, b], [b, a], [a, b], [b, b]] ->= [ [c, a] , [a, a] , [a, a] , [ a , b ] ] {- Semlab 1 (Concon 3 (DP Nontop (Mirror (Input 1)))) -}
  [[<, c], [c, c], [c, b]] ->= [ [<, a] , [ a , b ] ] {- Semlab 0 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a, c], [c, c], [c, b]] ->= [ [a, a] , [ a , b ] ] {- Semlab 1 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c, c], [c, c], [c, b]] ->= [ [c, a] , [ a , b ] ] {- Semlab 2 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[b, c], [c, c], [c, b]] ->= [ [b, a] , [ a , b ] ] {- Semlab 3 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[a#, c], [c, c], [c, b]] ->= [ [a#, a] , [ a , b ] ] {- Semlab 4 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
  [[c#, c], [c, c], [c, b]] ->= [ [c#, a] , [ a , b ] ] {- Semlab 5 (Concon 2 (DP Nontop (Mirror (Input 2)))) -}
reason
  no strict rules

**************************************************
skeleton: \Mirror(3,3)\Deepee\EDG(6/3,6)\Matrix{\Arctic}{4}(5/3,6)\Weight\EDG(2/3,5)\TileAllROC{2}(7/62,22)\Weight(2/38,21)\TileRemoveROC{2}(1/26,21)\Weight(0/26,17)[]
**************************************************
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]]))
**************************************************
statistics on proof search (nodes types that (together) took more than 1.000000000000)
**************************************************
Fail : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 16 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False}
  total number 4
  max duration 2.358237591000
  min duration 1.516735371000
  total durat. 7.231061611000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 16
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 5
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 18}
    , self = 130
    , parent = Just 103
    , duration = 1.516735371000
    , status = Fail
    , start = 2021-07-13 23:24:01.507093941 UTC
    , finish = 2021-07-13 23:24:03.023829312 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '3'
                          , '7' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 16
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 54
    , parent = Just 15
    , duration = 1.675753894000
    , status = Fail
    , start = 2021-07-13 23:23:51.53882267 UTC
    , finish = 2021-07-13 23:23:53.214576564 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '9'
                          , '8' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 16
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 55
    , parent = Just 11
    , duration = 1.680334755000
    , status = Fail
    , start = 2021-07-13 23:23:51.538861315 UTC
    , finish = 2021-07-13 23:23:53.21919607 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '7'
                          , '7' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 16
      , encoding = Ersatz_Binary
      , dim = 2
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 24}
    , self = 131
    , parent = Just 102
    , duration = 2.358237591000
    , status = Fail
    , start = 2021-07-13 23:24:01.515619641 UTC
    , finish = 2021-07-13 23:24:03.873857232 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '6'
                          , '0' ]
                        , 0
                        , True )}
Success : Matrix { monotone = Weak , domain = Arctic , shape = Full , bits = 8 , encoding = Ersatz_Binary , dim = 4 , solver = Minisatapi , verbose = True , tracing = False}
  total number 2
  max duration 8.265129442000
  min duration 8.243416556000
  total durat. 16.508545998000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 8
      , encoding = Ersatz_Binary
      , dim = 4
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 98
    , parent = Just 15
    , duration = 8.243416556000
    , status = Success
    , start = 2021-07-13 23:23:53.214865132 UTC
    , finish = 2021-07-13 23:24:01.458281688 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '0' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Arctic
      , shape = Full
      , bits = 8
      , encoding = Ersatz_Binary
      , dim = 4
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 100
    , parent = Just 11
    , duration = 8.265129442000
    , status = Success
    , start = 2021-07-13 23:23:53.219470677 UTC
    , finish = 2021-07-13 23:24:01.484600119 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '2'
                          , '3' ]
                        , 0
                        , True )}
Except [ 'A'
       , 's'
       , 'y'
       , 'n'
       , 'c'
       , 'C'
       , 'a'
       , 'n'
       , 'c'
       , 'e'
       , 'l'
       , 'l'
       , 'e'
       , 'd' ] : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 3 , encoding = Ersatz_Binary , dim = 4 , solver = Minisatapi , verbose = True , tracing = False}
  total number 2
  max duration 9.546297734000
  min duration 9.541816354000
  total durat. 19.088114088000
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Natural
      , shape = Full
      , bits = 3
      , encoding = Ersatz_Binary
      , dim = 4
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 112
    , parent = Just 15
    , duration = 9.541816354000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 23:23:51.971837379 UTC
    , finish = 2021-07-13 23:24:01.513653733 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '9'
                          , '4' ]
                        , 0
                        , True )}
  Info
    { what = Matrix
      { monotone = Weak
      , domain = Natural
      , shape = Full
      , bits = 3
      , encoding = Ersatz_Binary
      , dim = 4
      , solver = Minisatapi
      , verbose = True
      , tracing = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 113
    , parent = Just 11
    , duration = 9.546297734000
    , status = Except [ 'A'
                      , 's'
                      , 'y'
                      , 'n'
                      , 'c'
                      , 'C'
                      , 'a'
                      , 'n'
                      , 'c'
                      , 'e'
                      , 'l'
                      , 'l'
                      , 'e'
                      , 'd' ]
    , start = 2021-07-13 23:23:51.972085949 UTC
    , finish = 2021-07-13 23:24:01.518383683 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '9'
                          , '7' ]
                        , 0
                        , True )}
Fail : Matrix { monotone = Weak , domain = Natural , shape = Full , bits = 4 , encoding = Ersatz_Binary , dim = 2 , solver = Minisatapi , verbose = True , tracing = False}
  total number 4
  max duration 0.488806399000
  min duration 0.384747117000
  total durat. 1.739317420000
Fail : QPI { dim = 2, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 4
  max duration 0.581182472000
  min duration 0.440622587000
  total durat. 2.007954267000
Fail : QPI { dim = 4, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 4
  max duration 2.519848647000
  min duration 2.064897405000
  total durat. 8.795991334000
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 66
    , parent = Just 15
    , duration = 2.064897405000
    , status = Fail
    , start = 2021-07-13 23:23:52.033231755 UTC
    , finish = 2021-07-13 23:23:54.09812916 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '3' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 67
    , parent = Just 11
    , duration = 2.091576409000
    , status = Fail
    , start = 2021-07-13 23:23:52.032941688 UTC
    , finish = 2021-07-13 23:23:54.124518097 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '0'
                          , '0' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 5
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 3
      , alphabet_size = 5
      , total_length = 18}
    , self = 132
    , parent = Just 103
    , duration = 2.119668873000
    , status = Fail
    , start = 2021-07-13 23:24:01.948237758 UTC
    , finish = 2021-07-13 23:24:04.067906631 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '1'
                          , '0' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 4
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 24}
    , self = 135
    , parent = Just 102
    , duration = 2.519848647000
    , status = Fail
    , start = 2021-07-13 23:24:02.089660897 UTC
    , finish = 2021-07-13 23:24:04.609509544 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '1'
                          , '7' ]
                        , 0
                        , True )}
Fail : QPI { dim = 6, bits = 3, solver = Minisatapi, tracing = False, verbose = False}
  total number 3
  max duration 7.408613450000
  min duration 4.344734908000
  total durat. 19.134193685000
  Info
    { what = QPI
      { dim = 6
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 7
      , num_strict_rules = 4
      , num_top_rules = 4
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 24}
    , self = 157
    , parent = Just 102
    , duration = 4.344734908000
    , status = Fail
    , start = 2021-07-13 23:24:04.613503434 UTC
    , finish = 2021-07-13 23:24:08.958238342 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '3'
                          , '7' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 6
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 109
    , parent = Just 11
    , duration = 7.380845327000
    , status = Fail
    , start = 2021-07-13 23:23:54.126384757 UTC
    , finish = 2021-07-13 23:24:01.507230084 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '5'
                          , '7' ]
                        , 0
                        , True )}
  Info
    { what = QPI
      { dim = 6
      , bits = 3
      , solver = Minisatapi
      , tracing = False
      , verbose = False}
    , input_size = Size
      { num_rules = 9
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 3
      , alphabet_size = 6
      , total_length = 35}
    , self = 108
    , parent = Just 15
    , duration = 7.408613450000
    , status = Fail
    , start = 2021-07-13 23:23:54.098557995 UTC
    , finish = 2021-07-13 23:24:01.507171445 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '5'
                          , '4' ]
                        , 0
                        , True )}
Success : Tiling { method = Backward , width = 2 , state_type = Best , 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}
  total number 3
  max duration 0.998031103000
  min duration 0.063667021000
  total durat. 1.563449635000
Success : Tiling { method = Forward , width = 2 , state_type = Best , 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}
  total number 3
  max duration 0.882103058000
  min duration 0.055408945000
  total durat. 1.353488816000
Success : Tiling { method = Overlap , width = 2 , state_type = Best , 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}
  total number 14
  max duration 5.448712731000
  min duration 0.183810167000
  total durat. 27.383478377000
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , 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}
    , input_size = Size
      { num_rules = 49
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 43
      , alphabet_size = 23
      , total_length = 272}
    , self = 82
    , parent = Just 60
    , duration = 2.359704971000
    , status = Success
    , start = 2021-07-13 23:23:53.948257148 UTC
    , finish = 2021-07-13 23:23:56.307962119 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '3'
                          , '1' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , 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}
    , input_size = Size
      { num_rules = 45
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 43
      , alphabet_size = 23
      , total_length = 249}
    , self = 85
    , parent = Just 70
    , duration = 2.945714557000
    , status = Success
    , start = 2021-07-13 23:23:54.856458261 UTC
    , finish = 2021-07-13 23:23:57.802172818 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '6'
                          , '6' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , 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}
    , input_size = Size
      { num_rules = 45
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 43
      , alphabet_size = 23
      , total_length = 249}
    , self = 138
    , parent = Just 70
    , duration = 2.956105548000
    , status = Success
    , start = 2021-07-13 23:24:02.151791901 UTC
    , finish = 2021-07-13 23:24:05.107897449 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '2'
                          , '1' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , 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}
    , input_size = Size
      { num_rules = 44
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 38
      , alphabet_size = 21
      , total_length = 244}
    , self = 92
    , parent = Just 78
    , duration = 3.363430842000
    , status = Success
    , start = 2021-07-13 23:23:55.653490069 UTC
    , finish = 2021-07-13 23:23:59.016920911 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '9'
                          , '1' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , 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}
    , input_size = Size
      { num_rules = 40
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 38
      , alphabet_size = 21
      , total_length = 224}
    , self = 150
    , parent = Just 133
    , duration = 3.723680611000
    , status = Success
    , start = 2021-07-13 23:24:04.659297058 UTC
    , finish = 2021-07-13 23:24:08.382977669 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '4'
                          , '1' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , 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}
    , input_size = Size
      { num_rules = 40
      , num_strict_rules = 2
      , num_top_rules = 2
      , num_weak_rules = 38
      , alphabet_size = 21
      , total_length = 224}
    , self = 123
    , parent = Just 87
    , duration = 3.871272765000
    , status = Success
    , start = 2021-07-13 23:23:58.054536325 UTC
    , finish = 2021-07-13 23:24:01.92580909 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '9'
                          , '9' ]
                        , 3
                        , True )}
  Info
    { what = Tiling
      { method = Overlap
      , width = 2
      , state_type = Best
      , 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}
    , input_size = Size
      { num_rules = 39
      , num_strict_rules = 6
      , num_top_rules = 6
      , num_weak_rules = 33
      , alphabet_size = 21
      , total_length = 219}
    , self = 142
    , parent = Just 93
    , duration = 5.448712731000
    , status = Success
    , start = 2021-07-13 23:23:59.956571182 UTC
    , finish = 2021-07-13 23:24:05.405283913 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '3'
                          , '1'
                          , '0' ]
                        , 3
                        , True )}
Success : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False}
  total number 13
  max duration 5.208652809000
  min duration 0.000463345000
  total durat. 18.060172356000
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 75
      , num_strict_rules = 13
      , num_top_rules = 13
      , num_weak_rules = 62
      , alphabet_size = 22
      , total_length = 447}
    , self = 78
    , parent = Just 69
    , duration = 1.137794771000
    , status = Success
    , start = 2021-07-13 23:23:54.385901881 UTC
    , finish = 2021-07-13 23:23:55.523696652 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '5'
                          , '9' ]
                        , 3
                        , False )}
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 94
      , num_strict_rules = 21
      , num_top_rules = 21
      , num_weak_rules = 73
      , alphabet_size = 27
      , total_length = 547}
    , self = 60
    , parent = Just 32
    , duration = 2.108949686000
    , status = Success
    , start = 2021-07-13 23:23:51.724903797 UTC
    , finish = 2021-07-13 23:23:53.833853483 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '7'
                          , '7' ]
                        , 3
                        , False )}
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 69
      , num_strict_rules = 7
      , num_top_rules = 7
      , num_weak_rules = 62
      , alphabet_size = 22
      , total_length = 405}
    , self = 87
    , parent = Just 77
    , duration = 2.430071503000
    , status = Success
    , start = 2021-07-13 23:23:55.424652088 UTC
    , finish = 2021-07-13 23:23:57.854723591 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '2'
                          , '8'
                          , '6' ]
                        , 3
                        , False )}
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 69
      , num_strict_rules = 7
      , num_top_rules = 7
      , num_weak_rules = 62
      , alphabet_size = 22
      , total_length = 405}
    , self = 133
    , parent = Just 119
    , duration = 2.611243390000
    , status = Success
    , start = 2021-07-13 23:24:01.863970522 UTC
    , finish = 2021-07-13 23:24:04.475213912 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '0'
                          , '3' ]
                        , 3
                        , False )}
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 96
      , num_strict_rules = 23
      , num_top_rules = 23
      , num_weak_rules = 73
      , alphabet_size = 27
      , total_length = 572}
    , self = 70
    , parent = Just 34
    , duration = 2.975634279000
    , status = Success
    , start = 2021-07-13 23:23:51.731883418 UTC
    , finish = 2021-07-13 23:23:54.707517697 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '1'
                          , '7'
                          , '8' ]
                        , 3
                        , False )}
  Info
    { what = Weight
      { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail))
      , verbose = False
      , tracing = False}
    , input_size = Size
      { num_rules = 88
      , num_strict_rules = 15
      , num_top_rules = 15
      , num_weak_rules = 73
      , alphabet_size = 27
      , total_length = 502}
    , self = 144
    , parent = Just 121
    , duration = 5.208652809000
    , status = Success
    , start = 2021-07-13 23:24:01.888680354 UTC
    , finish = 2021-07-13 23:24:07.097333163 UTC
    , thread_cap_info = ( [ 'T'
                          , 'h'
                          , 'r'
                          , 'e'
                          , 'a'
                          , 'd'
                          , 'I'
                          , 'd'
                          , ' '
                          , '4'
                          , '0'
                          , '4' ]
                        , 3
                        , False )}
Fail : Weight { modus = Pre (Or_Else Count (IfSizeLeq 100000 (Simplex Sparse) Fail)) , verbose = False , tracing = False}
  total number 12
  max duration 0.727764125000
  min duration 0.000188523000
  total durat. 1.246254805000
**************************************************