/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 5 rules on 5 letters       weights
SRS with 4 rules on 5 letters       mirror
SRS with 4 rules on 5 letters       tile all, by Config   { method = Forward,width = 2,unlabel = False}
SRS with 21 rules on 15 letters       weights
SRS with 16 rules on 11 letters       unlabel
SRS with 3 rules on 4 letters       mirror
SRS with 3 rules on 4 letters       Matchbound   { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 28 states

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [f, 0] -> [s, 0] {- Input 0 -}
  [d, 0] -> [0] {- Input 1 -}
  [d, s] -> [s, s, d, p, s] {- Input 2 -}
  [f, s] -> [d, f, p, s] {- Input 3 -}
  [p, s] -> [] {- Input 4 -}
reason
  (f, 1/1)
   property Termination
has value Just True
for SRS
  [d, 0] -> [0] {- Input 1 -}
  [d, s] -> [s, s, d, p, s] {- Input 2 -}
  [f, s] -> [d, f, p, s] {- Input 3 -}
  [p, s] -> [] {- Input 4 -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [0, d] -> [0] {- Mirror (Input 1) -}
  [s, d] -> [s, p, d, s, s] {- Mirror (Input 2) -}
  [s, f] -> [s, p, f, d] {- Mirror (Input 3) -}
  [s, p] -> [] {- Mirror (Input 4) -}
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 18 tiles
  tile all rules
  steps: 1
  
   property Termination
has value Just True
for SRS
  [[<, s], [s, d], [d, >]] -> [ [<, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , > ] ] {- Semlab 0 (Concon 0 (Mirror (Input 2))) -}
  [[<, s], [s, d], [d, f]] -> [ [<, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , f ] ] {- Semlab 0 (Concon 1 (Mirror (Input 2))) -}
  [[<, s], [s, d], [d, s]] -> [ [<, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -}
  [[<, s], [s, d], [d, d]] -> [ [<, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , d ] ] {- Semlab 0 (Concon 3 (Mirror (Input 2))) -}
  [[s, s], [s, d], [d, >]] -> [ [s, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , > ] ] {- Semlab 1 (Concon 0 (Mirror (Input 2))) -}
  [[s, s], [s, d], [d, f]] -> [ [s, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , f ] ] {- Semlab 1 (Concon 1 (Mirror (Input 2))) -}
  [[s, s], [s, d], [d, s]] -> [ [s, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -}
  [[s, s], [s, d], [d, d]] -> [ [s, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , d ] ] {- Semlab 1 (Concon 3 (Mirror (Input 2))) -}
  [[d, s], [s, d], [d, >]] -> [ [d, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , > ] ] {- Semlab 2 (Concon 0 (Mirror (Input 2))) -}
  [[d, s], [s, d], [d, f]] -> [ [d, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , f ] ] {- Semlab 2 (Concon 1 (Mirror (Input 2))) -}
  [[d, s], [s, d], [d, s]] -> [ [d, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -}
  [[d, s], [s, d], [d, d]] -> [ [d, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , d ] ] {- Semlab 2 (Concon 3 (Mirror (Input 2))) -}
  [[<, s], [s, f], [f, d]] -> [ [<, s] , [s, p] , [p, f] , [f, d] , [ d , d ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -}
  [[s, s], [s, f], [f, d]] -> [ [s, s] , [s, p] , [p, f] , [f, d] , [ d , d ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -}
  [[d, s], [s, f], [f, d]] -> [ [d, s] , [s, p] , [p, f] , [f, d] , [ d , d ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -}
  [[<, s], [s, p], [p, f]] -> [ [ < , f ] ] {- Semlab 0 (Concon 0 (Mirror (Input 4))) -}
  [[<, s], [s, p], [p, d]] -> [ [ < , d ] ] {- Semlab 0 (Concon 1 (Mirror (Input 4))) -}
  [[s, s], [s, p], [p, f]] -> [ [ s , f ] ] {- Semlab 1 (Concon 0 (Mirror (Input 4))) -}
  [[s, s], [s, p], [p, d]] -> [ [ s , d ] ] {- Semlab 1 (Concon 1 (Mirror (Input 4))) -}
  [[d, s], [s, p], [p, f]] -> [ [ d , f ] ] {- Semlab 2 (Concon 0 (Mirror (Input 4))) -}
  [[d, s], [s, p], [p, d]] -> [ [ d , d ] ] {- Semlab 2 (Concon 1 (Mirror (Input 4))) -}
reason
  ([<, s], 2/1)
  ([d, >], 3/1)
   property Termination
has value Just True
for SRS
  [[<, s], [s, d], [d, f]] -> [ [<, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , f ] ] {- Semlab 0 (Concon 1 (Mirror (Input 2))) -}
  [[<, s], [s, d], [d, s]] -> [ [<, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , s ] ] {- Semlab 0 (Concon 2 (Mirror (Input 2))) -}
  [[<, s], [s, d], [d, d]] -> [ [<, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , d ] ] {- Semlab 0 (Concon 3 (Mirror (Input 2))) -}
  [[s, s], [s, d], [d, f]] -> [ [s, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , f ] ] {- Semlab 1 (Concon 1 (Mirror (Input 2))) -}
  [[s, s], [s, d], [d, s]] -> [ [s, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , s ] ] {- Semlab 1 (Concon 2 (Mirror (Input 2))) -}
  [[s, s], [s, d], [d, d]] -> [ [s, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , d ] ] {- Semlab 1 (Concon 3 (Mirror (Input 2))) -}
  [[d, s], [s, d], [d, f]] -> [ [d, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , f ] ] {- Semlab 2 (Concon 1 (Mirror (Input 2))) -}
  [[d, s], [s, d], [d, s]] -> [ [d, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , s ] ] {- Semlab 2 (Concon 2 (Mirror (Input 2))) -}
  [[d, s], [s, d], [d, d]] -> [ [d, s] , [s, p] , [p, d] , [d, s] , [s, s] , [ s , d ] ] {- Semlab 2 (Concon 3 (Mirror (Input 2))) -}
  [[<, s], [s, f], [f, d]] -> [ [<, s] , [s, p] , [p, f] , [f, d] , [ d , d ] ] {- Semlab 0 (Concon 0 (Mirror (Input 3))) -}
  [[s, s], [s, f], [f, d]] -> [ [s, s] , [s, p] , [p, f] , [f, d] , [ d , d ] ] {- Semlab 1 (Concon 0 (Mirror (Input 3))) -}
  [[d, s], [s, f], [f, d]] -> [ [d, s] , [s, p] , [p, f] , [f, d] , [ d , d ] ] {- Semlab 2 (Concon 0 (Mirror (Input 3))) -}
  [[s, s], [s, p], [p, f]] -> [ [ s , f ] ] {- Semlab 1 (Concon 0 (Mirror (Input 4))) -}
  [[s, s], [s, p], [p, d]] -> [ [ s , d ] ] {- Semlab 1 (Concon 1 (Mirror (Input 4))) -}
  [[d, s], [s, p], [p, f]] -> [ [ d , f ] ] {- Semlab 2 (Concon 0 (Mirror (Input 4))) -}
  [[d, s], [s, p], [p, d]] -> [ [ d , d ] ] {- Semlab 2 (Concon 1 (Mirror (Input 4))) -}
reason
  unlabel
   property Termination
has value Just True
for SRS
  [2, 1] -> [2, 3, 1, 2, 2] {- Mirror (Input 2) -}
  [2, 4] -> [2, 3, 4, 1] {- Mirror (Input 3) -}
  [2, 3] -> [] {- Mirror (Input 4) -}
reason
  mirror
   property Termination
has value Just True
for SRS
  [1, 2] -> [2, 2, 1, 3, 2] {- Input 2 -}
  [4, 2] -> [1, 4, 3, 2] {- Input 3 -}
  [3, 2] -> [] {- Input 4 -}
reason
  Matchbound
    Matchbound   { method = RFC, max_size = Nothing, max_bound = Nothing, verbose = False, tracing = False} matchbound 1 certified by automaton with 28 states

**************************************************
skeleton: (5,5)\Weight\Mirror(4,5)\TileAllRFC{2}(21,15)\Weight(16,11)\Unlabel\Mirror(3,4)\Rfcmatchbound{1}[]
**************************************************
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)])