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


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YES
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summary
**************************************************
SRS with 4 strict rules and 2 weak rules on 4 letters       Matrix   { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 3, solver = Minisatapi, verbose = False, tracing = False}
SRS with 3 strict rules and 2 weak rules on 3 letters       weights
SRS with 2 strict rules and 2 weak rules on 3 letters       Matrix   { monotone = Strict, domain = Natural, shape = Full, bits = 3, dim = 2, solver = Minisatapi, verbose = False, tracing = False}
SRS with 1 strict rules and 2 weak rules on 2 letters       weights
SRS with 0 strict rules and 2 weak rules on 2 letters       no strict rules

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proof
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property Termination
has value Just True
for SRS
  [a] -> [] {- Input 0 -}
  [b] -> [] {- Input 1 -}
  [a, c] -> [b, b, c, a] {- Input 2 -}
  [d, b, b, b] -> [a, d, a] {- Input 3 -}
  [a, b] ->= [b, a] {- Input 4 -}
  [b, a] ->= [a, b] {- Input 5 -}
reason
  ( a
  , St  / 1 0 0 \
        | 0 1 2 |
        \ 0 0 1 / )
  ( b
  , St  / 1 0 0 \
        | 0 1 1 |
        \ 0 0 1 / )
  ( c
  , St  / 1 0 1 \
        | 0 0 1 |
        \ 0 0 1 / )
  ( d
  , St  / 1 1 0 \
        | 0 2 1 |
        \ 0 0 1 / )
   property Termination
has value Just True
for SRS
  [a] -> [] {- Input 0 -}
  [b] -> [] {- Input 1 -}
  [a, c] -> [b, b, c, a] {- Input 2 -}
  [a, b] ->= [b, a] {- Input 4 -}
  [b, a] ->= [a, b] {- Input 5 -}
reason
  (a, 1/1)
   property Termination
has value Just True
for SRS
  [b] -> [] {- Input 1 -}
  [a, c] -> [b, b, c, a] {- Input 2 -}
  [a, b] ->= [b, a] {- Input 4 -}
  [b, a] ->= [a, b] {- Input 5 -}
reason
  ( a
  , St  / 2 0 \
        \ 0 1 / )
  ( b
  , St  / 1 0 \
        \ 0 1 / )
  ( c
  , St  / 1 1 \
        \ 0 1 / )
   property Termination
has value Just True
for SRS
  [b] -> [] {- Input 1 -}
  [a, b] ->= [b, a] {- Input 4 -}
  [b, a] ->= [a, b] {- Input 5 -}
reason
  (b, 1/1)
   property Termination
has value Just True
for SRS
  [a, b] ->= [b, a] {- Input 4 -}
  [b, a] ->= [a, b] {- Input 5 -}
reason
  no strict rules

**************************************************
skeleton: (4/2,4)\Matrix{\Natural}{3}(3/2,3)\Weight(2/2,3)\Matrix{\Natural}{2}(1/2,2)\Weight(0/2,2)[]
**************************************************
let {}
in let {done = Worker No_Strict_Rules;mo = Pre (Or_Else Count (IfSizeLeq 100000 GLPK Fail));wop = Or_Else (Worker (Weight {modus = mo})) Pass;weighted = \ m -> And_Then m wop;when_small = \ m -> And_Then (Worker (SizeAtmost 100)) m;when_medium = \ m -> And_Then (Worker (SizeAtmost 10000)) m;tiling = \ m w -> weighted (And_Then (Worker (Tiling {method = m,width = w,tracing = True})) (Worker Remap));matrix = \ mo dom dim bits -> when_small (weighted (Worker (Matrix {monotone = mo,domain = dom,dim = dim,bits = bits,shape = Corner})));kbo = \ b -> when_medium (weighted (Worker (KBO {bits = b,solver = Minisatapi})));yeah = Apply wop (Tree_Search_Preemptive 0 done ([ ] <> ([ kbo 1, And_Then (Worker Mirror) (kbo 1)] <> ((for [ 3, 4] (\ d -> matrix Strict Natural d 3)) <> (for [ 2, 3, 5] (\ w -> tiling Overlap w))))));noh = [ Timeout 5 (Worker (Enumerate {closure = Forward})), Timeout 5 (Worker (Enumerate {closure = Backward}))]}
  in Apply (Worker Remap) (First_Of ([ yeah] <> noh))