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


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YES
**************************************************
summary
**************************************************
SRS with 7 rules on 4 letters       mirror
SRS with 7 rules on 4 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 48 rules on 16 letters       weights
SRS with 0 rules on 0 letters       no strict rules

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a, c, a] -> [c, a, c] {- Input 0 -}
  [a, a, b] -> [a, d, b] {- Input 1 -}
  [a, b] -> [b, a, a] {- Input 2 -}
  [d, d] -> [a, d, b] {- Input 3 -}
  [b, b] -> [b, c] {- Input 4 -}
  [a, d, c] -> [c, a] {- Input 5 -}
  [b, c] -> [a, a, a] {- Input 6 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [a, c, a] -> [c, a, c] {- Mirror (Input 0) -}
  [b, a, a] -> [b, d, a] {- Mirror (Input 1) -}
  [b, a] -> [a, a, b] {- Mirror (Input 2) -}
  [d, d] -> [b, d, a] {- Mirror (Input 3) -}
  [b, b] -> [c, b] {- Mirror (Input 4) -}
  [c, d, a] -> [a, c] {- Mirror (Input 5) -}
  [c, b] -> [a, a, a] {- Mirror (Input 6) -}
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 17 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [[<, a], [a, c], [c, a], [a, >]] -> [ [<, c] , [c, a] , [a, c] , [ c , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 0))) -}
  [[<, a], [a, c], [c, a], [a, a]] -> [ [<, c] , [c, a] , [a, c] , [ c , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 0))) -}
  [[<, a], [a, c], [c, a], [a, c]] -> [ [<, c] , [c, a] , [a, c] , [ c , c ] ] {- Semlab 0 (Concon 2 (Mirror (Input 0))) -}
  [[<, a], [a, c], [c, a], [a, b]] -> [ [<, c] , [c, a] , [a, c] , [ c , b ] ] {- Semlab 0 (Concon 3 (Mirror (Input 0))) -}
  [[<, a], [a, c], [c, a], [a, d]] -> [ [<, c] , [c, a] , [a, c] , [ c , d ] ] {- Semlab 0 (Concon 4 (Mirror (Input 0))) -}
  [[a, a], [a, c], [c, a], [a, >]] -> [ [a, c] , [c, a] , [a, c] , [ c , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 0))) -}
  [[a, a], [a, c], [c, a], [a, a]] -> [ [a, c] , [c, a] , [a, c] , [ c , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 0))) -}
  [[a, a], [a, c], [c, a], [a, c]] -> [ [a, c] , [c, a] , [a, c] , [ c , c ] ] {- Semlab 1 (Concon 2 (Mirror (Input 0))) -}
  [[a, a], [a, c], [c, a], [a, b]] -> [ [a, c] , [c, a] , [a, c] , [ c , b ] ] {- Semlab 1 (Concon 3 (Mirror (Input 0))) -}
  [[a, a], [a, c], [c, a], [a, d]] -> [ [a, c] , [c, a] , [a, c] , [ c , d ] ] {- Semlab 1 (Concon 4 (Mirror (Input 0))) -}
  [[c, a], [a, c], [c, a], [a, >]] -> [ [c, c] , [c, a] , [a, c] , [ c , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 0))) -}
  [[c, a], [a, c], [c, a], [a, a]] -> [ [c, c] , [c, a] , [a, c] , [ c , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 0))) -}
  [[c, a], [a, c], [c, a], [a, c]] -> [ [c, c] , [c, a] , [a, c] , [ c , c ] ] {- Semlab 2 (Concon 2 (Mirror (Input 0))) -}
  [[c, a], [a, c], [c, a], [a, b]] -> [ [c, c] , [c, a] , [a, c] , [ c , b ] ] {- Semlab 2 (Concon 3 (Mirror (Input 0))) -}
  [[c, a], [a, c], [c, a], [a, d]] -> [ [c, c] , [c, a] , [a, c] , [ c , d ] ] {- Semlab 2 (Concon 4 (Mirror (Input 0))) -}
  [[d, a], [a, c], [c, a], [a, >]] -> [ [d, c] , [c, a] , [a, c] , [ c , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 0))) -}
  [[d, a], [a, c], [c, a], [a, a]] -> [ [d, c] , [c, a] , [a, c] , [ c , a ] ] {- Semlab 3 (Concon 1 (Mirror (Input 0))) -}
  [[d, a], [a, c], [c, a], [a, c]] -> [ [d, c] , [c, a] , [a, c] , [ c , c ] ] {- Semlab 3 (Concon 2 (Mirror (Input 0))) -}
  [[d, a], [a, c], [c, a], [a, b]] -> [ [d, c] , [c, a] , [a, c] , [ c , b ] ] {- Semlab 3 (Concon 3 (Mirror (Input 0))) -}
  [[d, a], [a, c], [c, a], [a, d]] -> [ [d, c] , [c, a] , [a, c] , [ c , d ] ] {- Semlab 3 (Concon 4 (Mirror (Input 0))) -}
  [[<, c], [c, d], [d, a], [a, >]] -> [ [<, a] , [a, c] , [ c , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 5))) -}
  [[<, c], [c, d], [d, a], [a, a]] -> [ [<, a] , [a, c] , [ c , a ] ] {- Semlab 0 (Concon 1 (Mirror (Input 5))) -}
  [[<, c], [c, d], [d, a], [a, c]] -> [ [<, a] , [a, c] , [ c , c ] ] {- Semlab 0 (Concon 2 (Mirror (Input 5))) -}
  [[<, c], [c, d], [d, a], [a, b]] -> [ [<, a] , [a, c] , [ c , b ] ] {- Semlab 0 (Concon 3 (Mirror (Input 5))) -}
  [[<, c], [c, d], [d, a], [a, d]] -> [ [<, a] , [a, c] , [ c , d ] ] {- Semlab 0 (Concon 4 (Mirror (Input 5))) -}
  [[a, c], [c, d], [d, a], [a, >]] -> [ [a, a] , [a, c] , [ c , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 5))) -}
  [[a, c], [c, d], [d, a], [a, a]] -> [ [a, a] , [a, c] , [ c , a ] ] {- Semlab 1 (Concon 1 (Mirror (Input 5))) -}
  [[a, c], [c, d], [d, a], [a, c]] -> [ [a, a] , [a, c] , [ c , c ] ] {- Semlab 1 (Concon 2 (Mirror (Input 5))) -}
  [[a, c], [c, d], [d, a], [a, b]] -> [ [a, a] , [a, c] , [ c , b ] ] {- Semlab 1 (Concon 3 (Mirror (Input 5))) -}
  [[a, c], [c, d], [d, a], [a, d]] -> [ [a, a] , [a, c] , [ c , d ] ] {- Semlab 1 (Concon 4 (Mirror (Input 5))) -}
  [[c, c], [c, d], [d, a], [a, >]] -> [ [c, a] , [a, c] , [ c , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 5))) -}
  [[c, c], [c, d], [d, a], [a, a]] -> [ [c, a] , [a, c] , [ c , a ] ] {- Semlab 2 (Concon 1 (Mirror (Input 5))) -}
  [[c, c], [c, d], [d, a], [a, c]] -> [ [c, a] , [a, c] , [ c , c ] ] {- Semlab 2 (Concon 2 (Mirror (Input 5))) -}
  [[c, c], [c, d], [d, a], [a, b]] -> [ [c, a] , [a, c] , [ c , b ] ] {- Semlab 2 (Concon 3 (Mirror (Input 5))) -}
  [[c, c], [c, d], [d, a], [a, d]] -> [ [c, a] , [a, c] , [ c , d ] ] {- Semlab 2 (Concon 4 (Mirror (Input 5))) -}
  [[d, c], [c, d], [d, a], [a, >]] -> [ [d, a] , [a, c] , [ c , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 5))) -}
  [[d, c], [c, d], [d, a], [a, a]] -> [ [d, a] , [a, c] , [ c , a ] ] {- Semlab 3 (Concon 1 (Mirror (Input 5))) -}
  [[d, c], [c, d], [d, a], [a, c]] -> [ [d, a] , [a, c] , [ c , c ] ] {- Semlab 3 (Concon 2 (Mirror (Input 5))) -}
  [[d, c], [c, d], [d, a], [a, b]] -> [ [d, a] , [a, c] , [ c , b ] ] {- Semlab 3 (Concon 3 (Mirror (Input 5))) -}
  [[d, c], [c, d], [d, a], [a, d]] -> [ [d, a] , [a, c] , [ c , d ] ] {- Semlab 3 (Concon 4 (Mirror (Input 5))) -}
  [[<, c], [c, b], [b, >]] -> [ [<, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 6))) -}
  [[<, c], [c, b], [b, d]] -> [ [<, a] , [a, a] , [a, a] , [ a , d ] ] {- Semlab 0 (Concon 1 (Mirror (Input 6))) -}
  [[a, c], [c, b], [b, >]] -> [ [a, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 6))) -}
  [[a, c], [c, b], [b, d]] -> [ [a, a] , [a, a] , [a, a] , [ a , d ] ] {- Semlab 1 (Concon 1 (Mirror (Input 6))) -}
  [[c, c], [c, b], [b, >]] -> [ [c, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 6))) -}
  [[c, c], [c, b], [b, d]] -> [ [c, a] , [a, a] , [a, a] , [ a , d ] ] {- Semlab 2 (Concon 1 (Mirror (Input 6))) -}
  [[d, c], [c, b], [b, >]] -> [ [d, a] , [a, a] , [a, a] , [ a , > ] ] {- Semlab 3 (Concon 0 (Mirror (Input 6))) -}
  [[d, c], [c, b], [b, d]] -> [ [d, a] , [a, a] , [a, a] , [ a , d ] ] {- Semlab 3 (Concon 1 (Mirror (Input 6))) -}
reason
  ([<, a], 3/1)
  ([a, c], 1/1)
  ([c, a], 1/1)
  ([a, >], 17/2)
  ([a, a], 15/2)
  ([a, b], 77/1)
  ([a, d], 17/2)
  ([c, d], 3/1)
  ([d, a], 17/1)
  ([d, c], 3/1)
  ([b, >], 77/2)
  ([b, d], 77/2)
   property Termination
has value Just True
for SRS
  
reason
  no strict rules

**************************************************
skeleton: \Mirror(7,4)\TileAllRFC{2}(48,16)\Weight(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)])