/export/starexec/sandbox/solver/bin/starexec_run_Default /export/starexec/sandbox/benchmark/theBenchmark.xml /export/starexec/sandbox/output/output_files


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YES
Input TRS:
    1: sqr(0()) -> 0()
    2: sqr(s(x)) -> +(sqr(x),s(double(x)))
    3: double(0()) -> 0()
    4: double(s(x)) -> s(s(double(x)))
    5: +(x,0()) -> x
    6: +(x,s(y)) -> s(+(x,y))
    7: sqr(s(x)) -> s(+(sqr(x),double(x)))
Number of strict rules: 7
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #sqr(s(x)) -> #+(sqr(x),s(double(x)))
   #2: #sqr(s(x)) -> #sqr(x)
   #3: #sqr(s(x)) -> #double(x)
   #4: #+(x,s(y)) -> #+(x,y)
   #5: #sqr(s(x)) -> #+(sqr(x),double(x))
   #6: #sqr(s(x)) -> #sqr(x)
   #7: #sqr(s(x)) -> #double(x)
   #8: #double(s(x)) -> #double(x)
Number of SCCs: 3, DPs: 4
  SCC { #8 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #sqr	w: 0
      0 	w: 0
      #double	w: x1
      double	w: 0
      sqr	w: 0
      + 	w: 0
      #+ 	w: 0
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 2, DPs: 3
  SCC { #4 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #sqr	w: 0
      0 	w: 0
      #double	w: 0
      double	w: 0
      sqr	w: 0
      + 	w: 0
      #+ 	w: x2
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 2
  SCC { #2 #6 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #sqr	w: x1
      0 	w: 0
      #double	w: 0
      double	w: 0
      sqr	w: 0
      + 	w: 0
      #+ 	w: 0
    USABLE RULES: { }
    Removed DPs: #2 #6
Number of SCCs: 0, DPs: 0