/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: half(0()) -> 0()
    2: half(s(0())) -> 0()
    3: half(s(s(x))) -> s(half(x))
    4: le(0(),y) -> true()
    5: le(s(x),0()) -> false()
    6: le(s(x),s(y)) -> le(x,y)
    7: inc(0()) -> 0()
    8: inc(s(x)) -> s(inc(x))
    9: log(x) -> log2(x,0())
    10: log2(x,y) -> if(le(x,s(0())),x,inc(y))
    11: if(true(),x,s(y)) -> y
    12: if(false(),x,y) -> log2(half(x),y)
Number of strict rules: 12
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #le(s(x),s(y)) -> #le(x,y)
   #2: #log(x) -> #log2(x,0())
   #3: #if(false(),x,y) -> #log2(half(x),y)
   #4: #if(false(),x,y) -> #half(x)
   #5: #log2(x,y) -> #if(le(x,s(0())),x,inc(y))
   #6: #log2(x,y) -> #le(x,s(0()))
   #7: #log2(x,y) -> #inc(y)
   #8: #half(s(s(x))) -> #half(x)
   #9: #inc(s(x)) -> #inc(x)
Number of SCCs: 4, DPs: 5
  SCC { #9 }
POLO(Sum)... succeeded.
      le	w: 0
      #log2	w: 0
      s 	w: x1 + 1
      #le	w: 0
      false	w: 0
      #log	w: 0
      #half	w: 0
      #inc	w: x1
      inc	w: 0
      true	w: 0
      half	w: 0
      log	w: 0
      0 	w: 0
      if	w: 0
      #if	w: 0
      log2	w: 0
    USABLE RULES: { }
    Removed DPs: #9
Number of SCCs: 3, DPs: 4
  SCC { #8 }
POLO(Sum)... succeeded.
      le	w: 0
      #log2	w: 0
      s 	w: x1 + 1
      #le	w: 0
      false	w: 0
      #log	w: 0
      #half	w: x1
      #inc	w: 0
      inc	w: 0
      true	w: 0
      half	w: 0
      log	w: 0
      0 	w: 0
      if	w: 0
      #if	w: 0
      log2	w: 0
    USABLE RULES: { }
    Removed DPs: #8
Number of SCCs: 2, DPs: 3
  SCC { #1 }
POLO(Sum)... succeeded.
      le	w: 0
      #log2	w: 0
      s 	w: x1 + 1
      #le	w: x2
      false	w: 0
      #log	w: 0
      #half	w: 0
      #inc	w: 0
      inc	w: 0
      true	w: 0
      half	w: 0
      log	w: 0
      0 	w: 0
      if	w: 0
      #if	w: 0
      log2	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 2
  SCC { #3 #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... succeeded.
      le	w: max(x1 - 2, 0)
      #log2	w: max(x1 - 3, 0)
      s 	w: max(x1 + 4, 0)
      #le	w: max(x2 - 1, 0)
      false	w: 2
      #log	w: 0
      #half	w: 0
      #inc	w: 0
      inc	w: 2
      true	w: 0
      half	w: max(x1 - 2, 0)
      log	w: 0
      0 	w: 0
      if	w: max(x3 - 1, 0)
      #if	w: max(x1 - 1, x2 - 4, 0)
      log2	w: max(x2 - 1, 0)
    USABLE RULES: { 1..6 }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0