/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 3 rules on 2 letters       DP
SRS with 8 strict rules and 3 weak rules on 4 letters       weights
SRS with 3 strict rules and 3 weak rules on 4 letters       EDG
SRS with 3 strict rules and 3 weak rules on 4 letters       Matrix   { monotone = Weak, domain = Arctic, shape = Full, bits = 4, dim = 2, solver = Minisatapi, verbose = False, tracing = False}
SRS with 0 strict rules and 3 weak rules on 2 letters       EDG

**************************************************
proof
**************************************************
property Termination
has value Just True
for SRS
  [a, a, a, a] -> [b, a, a, a] {- Input 0 -}
  [a, b, b, b] -> [b, a, b, a] {- Input 1 -}
  [b, b, a, a] -> [a, b, b, a] {- Input 2 -}
reason
  DP
   property Termination
has value Just True
for SRS
  [a, a, a, a] ->= [b, a, a, a] {- DP Nontop (Input 0) -}
  [a, b, b, b] ->= [b, a, b, a] {- DP Nontop (Input 1) -}
  [b, b, a, a] ->= [a, b, b, a] {- DP Nontop (Input 2) -}
  [a#, a, a, a] |-> [b#, a, a, a] {- DP (Top 0) (Input 0) -}
  [a#, b, b, b] |-> [a#] {- DP (Top 3) (Input 1) -}
  [a#, b, b, b] |-> [a#, b, a] {- DP (Top 1) (Input 1) -}
  [a#, b, b, b] |-> [b#, a] {- DP (Top 2) (Input 1) -}
  [a#, b, b, b] |-> [b#, a, b, a] {- DP (Top 0) (Input 1) -}
  [b#, b, a, a] |-> [a#, b, b, a] {- DP (Top 0) (Input 2) -}
  [b#, b, a, a] |-> [b#, a] {- DP (Top 2) (Input 2) -}
  [b#, b, a, a] |-> [b#, b, a] {- DP (Top 1) (Input 2) -}
reason
  (a, 1/9)
  (b, 1/9)
   property Termination
has value Just True
for SRS
  [a, a, a, a] ->= [b, a, a, a] {- DP Nontop (Input 0) -}
  [a, b, b, b] ->= [b, a, b, a] {- DP Nontop (Input 1) -}
  [b, b, a, a] ->= [a, b, b, a] {- DP Nontop (Input 2) -}
  [a#, a, a, a] |-> [b#, a, a, a] {- DP (Top 0) (Input 0) -}
  [a#, b, b, b] |-> [b#, a, b, a] {- DP (Top 0) (Input 1) -}
  [b#, b, a, a] |-> [a#, b, b, a] {- DP (Top 0) (Input 2) -}
reason
  EDG
   property Termination
has value Just True
for SRS
  [a#, a, a, a] |-> [b#, a, a, a] {- DP (Top 0) (Input 0) -}
  [b#, b, a, a] |-> [a#, b, b, a] {- DP (Top 0) (Input 2) -}
  [a#, b, b, b] |-> [b#, a, b, a] {- DP (Top 0) (Input 1) -}
  [a, a, a, a] ->= [b, a, a, a] {- DP Nontop (Input 0) -}
  [a, b, b, b] ->= [b, a, b, a] {- DP Nontop (Input 1) -}
  [b, b, a, a] ->= [a, b, b, a] {- DP Nontop (Input 2) -}
reason
  ( a
  , Wk  / 0A 2A \
        \ 0A 2A / )
  ( b
  , Wk  / 2A 2A \
        \ 0A 0A / )
  ( a#
  , Wk  / 3A 5A \
        \ 3A 5A / )
  ( b#
  , Wk  / 4A 4A \
        \ 4A 4A / )
   property Termination
has value Just True
for SRS
  [a, a, a, a] ->= [b, a, a, a] {- DP Nontop (Input 0) -}
  [a, b, b, b] ->= [b, a, b, a] {- DP Nontop (Input 1) -}
  [b, b, a, a] ->= [a, b, b, a] {- DP Nontop (Input 2) -}
reason
  EDG

**************************************************
skeleton: (3,2)\Deepee(8/3,4)\Weight\EDG(3/3,4)\Matrix{\Arctic}{2}(0/3,2)\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)])