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