/export/starexec/sandbox/solver/bin/starexec_run_tc20-rel.sh /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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


YES
**************************************************
summary
**************************************************
SRS with 3 strict rules and 3 weak rules on 3 letters       tile all, by Config   { method = Overlap,width = 2,unlabel = True}
SRS with 40 strict rules and 27 weak rules on 12 letters       weights
SRS with 0 strict rules and 4 weak rules on 4 letters       no strict rules

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [c, c, c] -> [c, b, c] {- Input 0 -}
  [b, b, c] -> [a, c, b] {- Input 1 -}
  [b, a, b] -> [c, c, b] {- Input 2 -}
  [b, a, a] ->= [a, a, b] {- Input 3 -}
  [b, b, a] ->= [a, b, c] {- Input 4 -}
  [b, b, a] ->= [a, a, c] {- Input 5 -}
reason
  Tiling   { method = Overlap, width = 2, state_type = Bit64, map_type = Enum, unlabel = True, print_completion_steps = False, print_tiles = False, verbose = False, tracing = True}
  steps 1
  using 13 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [[<, c], [c, c], [c, c], [c, >]] -> [ [<, c] , [c, b] , [b, c] , [ c , > ] ] {- Semlab 0 (Concon 0 (Input 0)) -}
  [[<, c], [c, c], [c, c], [c, c]] -> [ [<, c] , [c, b] , [b, c] , [ c , c ] ] {- Semlab 0 (Concon 1 (Input 0)) -}
  [[<, c], [c, c], [c, c], [c, b]] -> [ [<, c] , [c, b] , [b, c] , [ c , b ] ] {- Semlab 0 (Concon 2 (Input 0)) -}
  [[<, c], [c, c], [c, c], [c, a]] -> [ [<, c] , [c, b] , [b, c] , [ c , a ] ] {- Semlab 0 (Concon 3 (Input 0)) -}
  [[c, c], [c, c], [c, c], [c, >]] -> [ [c, c] , [c, b] , [b, c] , [ c , > ] ] {- Semlab 1 (Concon 0 (Input 0)) -}
  [[c, c], [c, c], [c, c], [c, c]] -> [ [c, c] , [c, b] , [b, c] , [ c , c ] ] {- Semlab 1 (Concon 1 (Input 0)) -}
  [[c, c], [c, c], [c, c], [c, b]] -> [ [c, c] , [c, b] , [b, c] , [ c , b ] ] {- Semlab 1 (Concon 2 (Input 0)) -}
  [[c, c], [c, c], [c, c], [c, a]] -> [ [c, c] , [c, b] , [b, c] , [ c , a ] ] {- Semlab 1 (Concon 3 (Input 0)) -}
  [[b, c], [c, c], [c, c], [c, >]] -> [ [b, c] , [c, b] , [b, c] , [ c , > ] ] {- Semlab 2 (Concon 0 (Input 0)) -}
  [[b, c], [c, c], [c, c], [c, c]] -> [ [b, c] , [c, b] , [b, c] , [ c , c ] ] {- Semlab 2 (Concon 1 (Input 0)) -}
  [[b, c], [c, c], [c, c], [c, b]] -> [ [b, c] , [c, b] , [b, c] , [ c , b ] ] {- Semlab 2 (Concon 2 (Input 0)) -}
  [[b, c], [c, c], [c, c], [c, a]] -> [ [b, c] , [c, b] , [b, c] , [ c , a ] ] {- Semlab 2 (Concon 3 (Input 0)) -}
  [[a, c], [c, c], [c, c], [c, >]] -> [ [a, c] , [c, b] , [b, c] , [ c , > ] ] {- Semlab 3 (Concon 0 (Input 0)) -}
  [[a, c], [c, c], [c, c], [c, c]] -> [ [a, c] , [c, b] , [b, c] , [ c , c ] ] {- Semlab 3 (Concon 1 (Input 0)) -}
  [[a, c], [c, c], [c, c], [c, b]] -> [ [a, c] , [c, b] , [b, c] , [ c , b ] ] {- Semlab 3 (Concon 2 (Input 0)) -}
  [[a, c], [c, c], [c, c], [c, a]] -> [ [a, c] , [c, b] , [b, c] , [ c , a ] ] {- Semlab 3 (Concon 3 (Input 0)) -}
  [[c, b], [b, b], [b, c], [c, >]] -> [ [c, a] , [a, c] , [c, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 1)) -}
  [[c, b], [b, b], [b, c], [c, c]] -> [ [c, a] , [a, c] , [c, b] , [ b , c ] ] {- Semlab 0 (Concon 1 (Input 1)) -}
  [[c, b], [b, b], [b, c], [c, b]] -> [ [c, a] , [a, c] , [c, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 1)) -}
  [[c, b], [b, b], [b, c], [c, a]] -> [ [c, a] , [a, c] , [c, b] , [ b , a ] ] {- Semlab 0 (Concon 3 (Input 1)) -}
  [[b, b], [b, b], [b, c], [c, >]] -> [ [b, a] , [a, c] , [c, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 1)) -}
  [[b, b], [b, b], [b, c], [c, c]] -> [ [b, a] , [a, c] , [c, b] , [ b , c ] ] {- Semlab 1 (Concon 1 (Input 1)) -}
  [[b, b], [b, b], [b, c], [c, b]] -> [ [b, a] , [a, c] , [c, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 1)) -}
  [[b, b], [b, b], [b, c], [c, a]] -> [ [b, a] , [a, c] , [c, b] , [ b , a ] ] {- Semlab 1 (Concon 3 (Input 1)) -}
  [[a, b], [b, b], [b, c], [c, >]] -> [ [a, a] , [a, c] , [c, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 1)) -}
  [[a, b], [b, b], [b, c], [c, c]] -> [ [a, a] , [a, c] , [c, b] , [ b , c ] ] {- Semlab 2 (Concon 1 (Input 1)) -}
  [[a, b], [b, b], [b, c], [c, b]] -> [ [a, a] , [a, c] , [c, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 1)) -}
  [[a, b], [b, b], [b, c], [c, a]] -> [ [a, a] , [a, c] , [c, b] , [ b , a ] ] {- Semlab 2 (Concon 3 (Input 1)) -}
  [[c, b], [b, a], [a, b], [b, >]] -> [ [c, c] , [c, c] , [c, b] , [ b , > ] ] {- Semlab 0 (Concon 0 (Input 2)) -}
  [[c, b], [b, a], [a, b], [b, c]] -> [ [c, c] , [c, c] , [c, b] , [ b , c ] ] {- Semlab 0 (Concon 1 (Input 2)) -}
  [[c, b], [b, a], [a, b], [b, b]] -> [ [c, c] , [c, c] , [c, b] , [ b , b ] ] {- Semlab 0 (Concon 2 (Input 2)) -}
  [[c, b], [b, a], [a, b], [b, a]] -> [ [c, c] , [c, c] , [c, b] , [ b , a ] ] {- Semlab 0 (Concon 3 (Input 2)) -}
  [[b, b], [b, a], [a, b], [b, >]] -> [ [b, c] , [c, c] , [c, b] , [ b , > ] ] {- Semlab 1 (Concon 0 (Input 2)) -}
  [[b, b], [b, a], [a, b], [b, c]] -> [ [b, c] , [c, c] , [c, b] , [ b , c ] ] {- Semlab 1 (Concon 1 (Input 2)) -}
  [[b, b], [b, a], [a, b], [b, b]] -> [ [b, c] , [c, c] , [c, b] , [ b , b ] ] {- Semlab 1 (Concon 2 (Input 2)) -}
  [[b, b], [b, a], [a, b], [b, a]] -> [ [b, c] , [c, c] , [c, b] , [ b , a ] ] {- Semlab 1 (Concon 3 (Input 2)) -}
  [[a, b], [b, a], [a, b], [b, >]] -> [ [a, c] , [c, c] , [c, b] , [ b , > ] ] {- Semlab 2 (Concon 0 (Input 2)) -}
  [[a, b], [b, a], [a, b], [b, c]] -> [ [a, c] , [c, c] , [c, b] , [ b , c ] ] {- Semlab 2 (Concon 1 (Input 2)) -}
  [[a, b], [b, a], [a, b], [b, b]] -> [ [a, c] , [c, c] , [c, b] , [ b , b ] ] {- Semlab 2 (Concon 2 (Input 2)) -}
  [[a, b], [b, a], [a, b], [b, a]] -> [ [a, c] , [c, c] , [c, b] , [ b , a ] ] {- Semlab 2 (Concon 3 (Input 2)) -}
  [[c, b], [b, a], [a, a], [a, c]] ->= [ [c, a] , [a, a] , [a, b] , [ b , c ] ] {- Semlab 0 (Concon 0 (Input 3)) -}
  [[c, b], [b, a], [a, a], [a, b]] ->= [ [c, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 0 (Concon 1 (Input 3)) -}
  [[c, b], [b, a], [a, a], [a, a]] ->= [ [c, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 0 (Concon 2 (Input 3)) -}
  [[b, b], [b, a], [a, a], [a, c]] ->= [ [b, a] , [a, a] , [a, b] , [ b , c ] ] {- Semlab 1 (Concon 0 (Input 3)) -}
  [[b, b], [b, a], [a, a], [a, b]] ->= [ [b, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 3)) -}
  [[b, b], [b, a], [a, a], [a, a]] ->= [ [b, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 2 (Input 3)) -}
  [[a, b], [b, a], [a, a], [a, c]] ->= [ [a, a] , [a, a] , [a, b] , [ b , c ] ] {- Semlab 2 (Concon 0 (Input 3)) -}
  [[a, b], [b, a], [a, a], [a, b]] ->= [ [a, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 3)) -}
  [[a, b], [b, a], [a, a], [a, a]] ->= [ [a, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 2 (Input 3)) -}
  [[c, b], [b, b], [b, a], [a, c]] ->= [ [c, a] , [a, b] , [b, c] , [ c , c ] ] {- Semlab 0 (Concon 0 (Input 4)) -}
  [[c, b], [b, b], [b, a], [a, b]] ->= [ [c, a] , [a, b] , [b, c] , [ c , b ] ] {- Semlab 0 (Concon 1 (Input 4)) -}
  [[c, b], [b, b], [b, a], [a, a]] ->= [ [c, a] , [a, b] , [b, c] , [ c , a ] ] {- Semlab 0 (Concon 2 (Input 4)) -}
  [[b, b], [b, b], [b, a], [a, c]] ->= [ [b, a] , [a, b] , [b, c] , [ c , c ] ] {- Semlab 1 (Concon 0 (Input 4)) -}
  [[b, b], [b, b], [b, a], [a, b]] ->= [ [b, a] , [a, b] , [b, c] , [ c , b ] ] {- Semlab 1 (Concon 1 (Input 4)) -}
  [[b, b], [b, b], [b, a], [a, a]] ->= [ [b, a] , [a, b] , [b, c] , [ c , a ] ] {- Semlab 1 (Concon 2 (Input 4)) -}
  [[a, b], [b, b], [b, a], [a, c]] ->= [ [a, a] , [a, b] , [b, c] , [ c , c ] ] {- Semlab 2 (Concon 0 (Input 4)) -}
  [[a, b], [b, b], [b, a], [a, b]] ->= [ [a, a] , [a, b] , [b, c] , [ c , b ] ] {- Semlab 2 (Concon 1 (Input 4)) -}
  [[a, b], [b, b], [b, a], [a, a]] ->= [ [a, a] , [a, b] , [b, c] , [ c , a ] ] {- Semlab 2 (Concon 2 (Input 4)) -}
  [[c, b], [b, b], [b, a], [a, c]] ->= [ [c, a] , [a, a] , [a, c] , [ c , c ] ] {- Semlab 0 (Concon 0 (Input 5)) -}
  [[c, b], [b, b], [b, a], [a, b]] ->= [ [c, a] , [a, a] , [a, c] , [ c , b ] ] {- Semlab 0 (Concon 1 (Input 5)) -}
  [[c, b], [b, b], [b, a], [a, a]] ->= [ [c, a] , [a, a] , [a, c] , [ c , a ] ] {- Semlab 0 (Concon 2 (Input 5)) -}
  [[b, b], [b, b], [b, a], [a, c]] ->= [ [b, a] , [a, a] , [a, c] , [ c , c ] ] {- Semlab 1 (Concon 0 (Input 5)) -}
  [[b, b], [b, b], [b, a], [a, b]] ->= [ [b, a] , [a, a] , [a, c] , [ c , b ] ] {- Semlab 1 (Concon 1 (Input 5)) -}
  [[b, b], [b, b], [b, a], [a, a]] ->= [ [b, a] , [a, a] , [a, c] , [ c , a ] ] {- Semlab 1 (Concon 2 (Input 5)) -}
  [[a, b], [b, b], [b, a], [a, c]] ->= [ [a, a] , [a, a] , [a, c] , [ c , c ] ] {- Semlab 2 (Concon 0 (Input 5)) -}
  [[a, b], [b, b], [b, a], [a, b]] ->= [ [a, a] , [a, a] , [a, c] , [ c , b ] ] {- Semlab 2 (Concon 1 (Input 5)) -}
  [[a, b], [b, b], [b, a], [a, a]] ->= [ [a, a] , [a, a] , [a, c] , [ c , a ] ] {- Semlab 2 (Concon 2 (Input 5)) -}
reason
  ([c, c], 3/1)
  ([c, >], 1/1)
  ([c, b], 2/1)
  ([b, c], 3/1)
  ([b, b], 9/1)
  ([b, a], 9/1)
   property Termination
has value Just True
for SRS
  [[b, b], [b, a], [a, a], [a, b]] ->= [ [b, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 1 (Concon 1 (Input 3)) -}
  [[b, b], [b, a], [a, a], [a, a]] ->= [ [b, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 1 (Concon 2 (Input 3)) -}
  [[a, b], [b, a], [a, a], [a, b]] ->= [ [a, a] , [a, a] , [a, b] , [ b , b ] ] {- Semlab 2 (Concon 1 (Input 3)) -}
  [[a, b], [b, a], [a, a], [a, a]] ->= [ [a, a] , [a, a] , [a, b] , [ b , a ] ] {- Semlab 2 (Concon 2 (Input 3)) -}
reason
  no strict rules

**************************************************
skeleton: (3/3,3)\TileAllROC{2}(40/27,12)\Weight(0/4,4)[]
**************************************************
let {}
in let {done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 100000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,tracing = True})) (Worker Remap));matrix = \ mo dom dim bits -> when_small (weighted (Worker (Matrix {monotone = mo,domain = dom,dim = dim,bits = bits,shape = Corner})));kbo = \ b -> when_medium (weighted (Worker (KBO {bits = b,solver = Minisatapi})));yeah = Apply wop (Tree_Search_Preemptive 0 done ([ ] <> ([ kbo 1, And_Then (Worker Mirror) (kbo 1)] <> ((for [ 3, 4] (\ d -> matrix Strict Natural d 3)) <> (for [ 2, 3, 5] (\ w -> tiling Overlap w))))));noh = [ Timeout 5 (Worker (Enumerate {closure = Forward})), Timeout 5 (Worker (Enumerate {closure = Backward}))]}
  in Apply (Worker Remap) (First_Of ([ yeah] <> noh))