/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: double(0()) -> 0()
    2: double(s(x)) -> s(s(double(x)))
    3: half(0()) -> 0()
    4: half(s(0())) -> 0()
    5: half(s(s(x))) -> s(half(x))
    6: -(x,0()) -> x
    7: -(s(x),s(y)) -> -(x,y)
    8: if(0(),y,z) -> y
    9: if(s(x),y,z) -> z
    10: half(double(x)) -> x
Number of strict rules: 10
Direct poly ... removes: 4 8 1 3 10 9 6
  s(x1)		w: (x1)
  half(x1)		w: (1 + 2 * x1)
  0()		w: (1)
  if(x1,x2,x3)		w: (1 + x3 + x2 + x1)
  double(x1)		w: (1 + x1)
  -(x1,x2)		w: (32285 + x2 + x1)
Number of strict rules: 3
Direct poly ... removes: 5 7
  s(x1)		w: (1 + x1)
  half(x1)		w: (1 + 2 * x1)
  0()		w: (1)
  if(x1,x2,x3)		w: (1 + x3 + x2 + 2 * x1)
  double(x1)		w: (20538 + 2 * x1)
  -(x1,x2)		w: (32285 + x2 + x1)
Number of strict rules: 1
Direct poly ... failed.
Freezing ... failed.
Dependency Pairs:
   #1: #double(s(x)) -> #double(x)
Number of SCCs: 1, DPs: 1
	SCC { #1 }
Sum... succeeded.
  s(x1)		w: (1 + x1)
  half(x1)		w: (0)
  0()		w: (0)
  if(x1,x2,x3)		w: (0)
  #double(x1)		w: (x1)
  double(x1)		w: (0)
  -(x1,x2)		w: (0)
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 0, DPs: 0