/export/starexec/sandbox2/solver/bin/starexec_run_default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/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 poly ... failed.
Freezing ... 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 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #sqr(x1)		w: (0)
  0()		w: (0)
  #double(x1)		w: (x1)
  double(x1)		w: (0)
  sqr(x1)		w: (0)
  +(x1,x2)		w: (0)
  #+(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 2, DPs: 3
	SCC { #4 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #sqr(x1)		w: (0)
  0()		w: (0)
  #double(x1)		w: (0)
  double(x1)		w: (0)
  sqr(x1)		w: (0)
  +(x1,x2)		w: (0)
  #+(x1,x2)		w: (x2)
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 1, DPs: 2
	SCC { #2 #6 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  #sqr(x1)		w: (x1)
  0()		w: (0)
  #double(x1)		w: (0)
  double(x1)		w: (0)
  sqr(x1)		w: (0)
  +(x1,x2)		w: (0)
  #+(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #2 #6
Number of SCCs: 0, DPs: 0