/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: g(x,0()) -> 0()
    2: g(d(),s(x)) -> s(s(g(d(),x)))
    3: g(h(),s(0())) -> 0()
    4: g(h(),s(s(x))) -> s(g(h(),x))
    5: double(x) -> g(d(),x)
    6: half(x) -> g(h(),x)
    7: f(s(x),y) -> f(half(s(x)),double(y))
    8: f(s(0()),y) -> y
    9: id(x) -> f(x,s(0()))
Number of strict rules: 9
Direct POLO(bPol) ... removes: 8 9
      h 	w: 0
      d 	w: 0
      s 	w: x1
      f 	w: x1 + x2
      half	w: x1
      0 	w: 1
      double	w: x1
      id	w: 2 * x1 + 2
      g 	w: x1 + x2
Number of strict rules: 7
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #g(d(),s(x)) -> #g(d(),x)
   #2: #half(x) -> #g(h(),x)
   #3: #f(s(x),y) -> #f(half(s(x)),double(y))
   #4: #f(s(x),y) -> #half(s(x))
   #5: #f(s(x),y) -> #double(y)
   #6: #double(x) -> #g(d(),x)
   #7: #g(h(),s(s(x))) -> #g(h(),x)
Number of SCCs: 3, DPs: 3
  SCC { #1 }
POLO(Sum)... succeeded.
      h 	w: 0
      d 	w: 0
      s 	w: x1 + 1
      #half	w: 0
      f 	w: 0
      half	w: 0
      0 	w: 0
      #double	w: 0
      double	w: 0
      #f 	w: 0
      #g 	w: x2
      id	w: 0
      g 	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 2, DPs: 2
  SCC { #7 }
POLO(Sum)... succeeded.
      h 	w: 0
      d 	w: 0
      s 	w: x1 + 1
      #half	w: 0
      f 	w: 0
      half	w: 0
      0 	w: 0
      #double	w: 0
      double	w: 0
      #f 	w: 0
      #g 	w: x2
      id	w: 0
      g 	w: 0
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 1, DPs: 1
  SCC { #3 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      h 	w: 1
      d 	w: 1
      s 	w: max(x1 + 3, 0)
      #half	w: 0
      f 	w: max(x2 - 1, 0)
      half	w: max(x1 - 2, 0)
      0 	w: 0
      #double	w: max(x1 - 1, 0)
      double	w: 1
      #f 	w: max(x1 - 2, 0)
      #g 	w: max(x1 - 1, 0)
      id	w: 0
      g 	w: max(x2 - 2, 0)
    USABLE RULES: { 1 3 4 6 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0