/export/starexec/sandbox2/solver/bin/starexec_run_tc20-std.sh /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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YES
**************************************************
summary
**************************************************
SRS with 35 rules on 15 letters       weights
SRS with 6 rules on 5 letters       DP
SRS with 14 strict rules and 6 weak rules on 8 letters       weights
SRS with 0 strict rules and 6 weak rules on 5 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a12, a12, a12, a12] -> [] {- Input 0 -}
  [a13, a13, a13, a13] -> [] {- Input 1 -}
  [a14, a14, a14, a14] -> [] {- Input 2 -}
  [a15, a15, a15, a15] -> [] {- Input 3 -}
  [a16, a16, a16, a16] -> [] {- Input 4 -}
  [a23, a23, a23, a23] -> [] {- Input 5 -}
  [a24, a24, a24, a24] -> [] {- Input 6 -}
  [a25, a25, a25, a25] -> [] {- Input 7 -}
  [a26, a26, a26, a26] -> [] {- Input 8 -}
  [a34, a34, a34, a34] -> [] {- Input 9 -}
  [a35, a35, a35, a35] -> [] {- Input 10 -}
  [a36, a36, a36, a36] -> [] {- Input 11 -}
  [a45, a45, a45, a45] -> [] {- Input 12 -}
  [a46, a46, a46, a46] -> [] {- Input 13 -}
  [a56, a56, a56, a56] -> [] {- Input 14 -}
  [a13, a13] -> [a12, a12, a23, a23, a12, a12] {- Input 15 -}
  [a14, a14] -> [a12, a12, a23, a23, a34, a34, a23, a23, a12, a12] {- Input 16 -}
  [a15, a15] -> [ a12 , a12 , a23 , a23 , a34 , a34 , a45 , a45 , a34 , a34 , a23 , a23 , a12 , a12 ] {- Input 17 -}
  [a16, a16] -> [ a12 , a12 , a23 , a23 , a34 , a34 , a45 , a45 , a56 , a56 , a45 , a45 , a34 , a34 , a23 , a23 , a12 , a12 ] {- Input 18 -}
  [a24, a24] -> [a23, a23, a34, a34, a23, a23] {- Input 19 -}
  [a25, a25] -> [a23, a23, a34, a34, a45, a45, a34, a34, a23, a23] {- Input 20 -}
  [a26, a26] -> [ a23 , a23 , a34 , a34 , a45 , a45 , a56 , a56 , a45 , a45 , a34 , a34 , a23 , a23 ] {- Input 21 -}
  [a35, a35] -> [a34, a34, a45, a45, a34, a34] {- Input 22 -}
  [a36, a36] -> [a34, a34, a45, a45, a56, a56, a45, a45, a34, a34] {- Input 23 -}
  [a46, a46] -> [a45, a45, a56, a56, a45, a45] {- Input 24 -}
  [ a12 , a12 , a23 , a23 , a12 , a12 , a23 , a23 , a12 , a12 , a23 , a23 ] -> [] {- Input 25 -}
  [ a23 , a23 , a34 , a34 , a23 , a23 , a34 , a34 , a23 , a23 , a34 , a34 ] -> [] {- Input 26 -}
  [ a34 , a34 , a45 , a45 , a34 , a34 , a45 , a45 , a34 , a34 , a45 , a45 ] -> [] {- Input 27 -}
  [ a45 , a45 , a56 , a56 , a45 , a45 , a56 , a56 , a45 , a45 , a56 , a56 ] -> [] {- Input 28 -}
  [a12, a12, a34, a34] -> [a34, a34, a12, a12] {- Input 29 -}
  [a12, a12, a45, a45] -> [a45, a45, a12, a12] {- Input 30 -}
  [a12, a12, a56, a56] -> [a56, a56, a12, a12] {- Input 31 -}
  [a23, a23, a45, a45] -> [a45, a45, a23, a23] {- Input 32 -}
  [a23, a23, a56, a56] -> [a56, a56, a23, a23] {- Input 33 -}
  [a34, a34, a56, a56] -> [a56, a56, a34, a34] {- Input 34 -}
reason
  (a12, 2/1)
  (a13, 49/2)
  (a14, 49/2)
  (a15, 49/2)
  (a16, 49/2)
  (a23, 3/1)
  (a24, 49/2)
  (a25, 49/2)
  (a26, 49/2)
  (a34, 3/1)
  (a35, 49/2)
  (a36, 49/2)
  (a45, 3/1)
  (a46, 49/2)
  (a56, 2/1)
   property Termination
has value Just True
for SRS
  [a12, a12, a34, a34] -> [a34, a34, a12, a12] {- Input 29 -}
  [a12, a12, a45, a45] -> [a45, a45, a12, a12] {- Input 30 -}
  [a12, a12, a56, a56] -> [a56, a56, a12, a12] {- Input 31 -}
  [a23, a23, a45, a45] -> [a45, a45, a23, a23] {- Input 32 -}
  [a23, a23, a56, a56] -> [a56, a56, a23, a23] {- Input 33 -}
  [a34, a34, a56, a56] -> [a56, a56, a34, a34] {- Input 34 -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a12, a12, a34, a34] ->= [a34, a34, a12, a12] {- DP Nontop (Input 29) -}
  [a12, a12, a45, a45] ->= [a45, a45, a12, a12] {- DP Nontop (Input 30) -}
  [a12, a12, a56, a56] ->= [a56, a56, a12, a12] {- DP Nontop (Input 31) -}
  [a23, a23, a45, a45] ->= [a45, a45, a23, a23] {- DP Nontop (Input 32) -}
  [a23, a23, a56, a56] ->= [a56, a56, a23, a23] {- DP Nontop (Input 33) -}
  [a34, a34, a56, a56] ->= [a56, a56, a34, a34] {- DP Nontop (Input 34) -}
  [a12#, a12, a34, a34] |-> [a12#] {- DP (Top 3) (Input 29) -}
  [a12#, a12, a34, a34] |-> [a12#, a12] {- DP (Top 2) (Input 29) -}
  [a12#, a12, a34, a34] |-> [a34#, a12, a12] {- DP (Top 1) (Input 29) -}
  [a12#, a12, a34, a34] |-> [a34#, a34, a12, a12] {- DP (Top 0) (Input 29) -}
  [a12#, a12, a45, a45] |-> [a12#] {- DP (Top 3) (Input 30) -}
  [a12#, a12, a45, a45] |-> [a12#, a12] {- DP (Top 2) (Input 30) -}
  [a12#, a12, a56, a56] |-> [a12#] {- DP (Top 3) (Input 31) -}
  [a12#, a12, a56, a56] |-> [a12#, a12] {- DP (Top 2) (Input 31) -}
  [a23#, a23, a45, a45] |-> [a23#] {- DP (Top 3) (Input 32) -}
  [a23#, a23, a45, a45] |-> [a23#, a23] {- DP (Top 2) (Input 32) -}
  [a23#, a23, a56, a56] |-> [a23#] {- DP (Top 3) (Input 33) -}
  [a23#, a23, a56, a56] |-> [a23#, a23] {- DP (Top 2) (Input 33) -}
  [a34#, a34, a56, a56] |-> [a34#] {- DP (Top 3) (Input 34) -}
  [a34#, a34, a56, a56] |-> [a34#, a34] {- DP (Top 2) (Input 34) -}
reason
  (a34, 5/1)
  (a45, 4/1)
  (a56, 6/1)
  (a23, 2/1)
  (a12#, 2/1)
   property Termination
has value Just True
for SRS
  [a12, a12, a34, a34] ->= [a34, a34, a12, a12] {- DP Nontop (Input 29) -}
  [a12, a12, a45, a45] ->= [a45, a45, a12, a12] {- DP Nontop (Input 30) -}
  [a12, a12, a56, a56] ->= [a56, a56, a12, a12] {- DP Nontop (Input 31) -}
  [a23, a23, a45, a45] ->= [a45, a45, a23, a23] {- DP Nontop (Input 32) -}
  [a23, a23, a56, a56] ->= [a56, a56, a23, a23] {- DP Nontop (Input 33) -}
  [a34, a34, a56, a56] ->= [a56, a56, a34, a34] {- DP Nontop (Input 34) -}
reason
  EDG

**************************************************
skeleton: (35,15)\Weight(6,5)\Deepee(14/6,8)\Weight(0/6,5)\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)])