/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 13 rules on 10 letters       weights
SRS with 7 rules on 5 letters       DP
SRS with 10 strict rules and 7 weak rules on 9 letters       weights
SRS with 0 strict rules and 7 weak rules on 5 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [q0, a] -> [x, q1] {- Input 0 -}
  [q1, a] -> [a, q1] {- Input 1 -}
  [q1, y] -> [y, q1] {- Input 2 -}
  [a, q1, b] -> [q2, a, y] {- Input 3 -}
  [a, q2, a] -> [q2, a, a] {- Input 4 -}
  [a, q2, y] -> [q2, a, y] {- Input 5 -}
  [y, q1, b] -> [q2, y, y] {- Input 6 -}
  [y, q2, a] -> [q2, y, a] {- Input 7 -}
  [y, q2, y] -> [q2, y, y] {- Input 8 -}
  [q2, x] -> [x, q0] {- Input 9 -}
  [q0, y] -> [y, q3] {- Input 10 -}
  [q3, y] -> [y, q3] {- Input 11 -}
  [q3, bl] -> [bl, q4] {- Input 12 -}
reason
  (q0, 2/1)
  (a, 4/1)
  (b, 8/1)
  (q2, 3/1)
  (q3, 1/1)
   property Termination
has value Just True
for SRS
  [q1, a] -> [a, q1] {- Input 1 -}
  [q1, y] -> [y, q1] {- Input 2 -}
  [a, q2, a] -> [q2, a, a] {- Input 4 -}
  [a, q2, y] -> [q2, a, y] {- Input 5 -}
  [y, q2, a] -> [q2, y, a] {- Input 7 -}
  [y, q2, y] -> [q2, y, y] {- Input 8 -}
  [q3, y] -> [y, q3] {- Input 11 -}
reason
  DP
   property Termination
has value Just True
for SRS
  [q1, a] ->= [a, q1] {- DP Nontop (Input 1) -}
  [q1, y] ->= [y, q1] {- DP Nontop (Input 2) -}
  [a, q2, a] ->= [q2, a, a] {- DP Nontop (Input 4) -}
  [a, q2, y] ->= [q2, a, y] {- DP Nontop (Input 5) -}
  [y, q2, a] ->= [q2, y, a] {- DP Nontop (Input 7) -}
  [y, q2, y] ->= [q2, y, y] {- DP Nontop (Input 8) -}
  [q3, y] ->= [y, q3] {- DP Nontop (Input 11) -}
  [a#, q2, a] |-> [a#, a] {- DP (Top 1) (Input 4) -}
  [a#, q2, y] |-> [a#, y] {- DP (Top 1) (Input 5) -}
  [q1#, a] |-> [a#, q1] {- DP (Top 0) (Input 1) -}
  [q1#, a] |-> [q1#] {- DP (Top 1) (Input 1) -}
  [q1#, y] |-> [q1#] {- DP (Top 1) (Input 2) -}
  [q1#, y] |-> [y#, q1] {- DP (Top 0) (Input 2) -}
  [y#, q2, a] |-> [y#, a] {- DP (Top 1) (Input 7) -}
  [y#, q2, y] |-> [y#, y] {- DP (Top 1) (Input 8) -}
  [q3#, y] |-> [y#, q3] {- DP (Top 0) (Input 11) -}
  [q3#, y] |-> [q3#] {- DP (Top 1) (Input 11) -}
reason
  (a, 2/1)
  (y, 4/1)
  (q2, 4/1)
  (q1#, 2/1)
  (q3#, 1/1)
   property Termination
has value Just True
for SRS
  [q1, a] ->= [a, q1] {- DP Nontop (Input 1) -}
  [q1, y] ->= [y, q1] {- DP Nontop (Input 2) -}
  [a, q2, a] ->= [q2, a, a] {- DP Nontop (Input 4) -}
  [a, q2, y] ->= [q2, a, y] {- DP Nontop (Input 5) -}
  [y, q2, a] ->= [q2, y, a] {- DP Nontop (Input 7) -}
  [y, q2, y] ->= [q2, y, y] {- DP Nontop (Input 8) -}
  [q3, y] ->= [y, q3] {- DP Nontop (Input 11) -}
reason
  EDG

**************************************************
skeleton: (13,10)\Weight(7,5)\Deepee(10/7,9)\Weight(0/7,5)\EDG[]
**************************************************
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)])