/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: plus(x,0()) -> x
    2: plus(0(),y) -> y
    3: plus(s(x),y) -> s(plus(x,y))
    4: times(0(),y) -> 0()
    5: times(s(0()),y) -> y
    6: times(s(x),y) -> plus(y,times(x,y))
    7: div(0(),y) -> 0()
    8: div(x,y) -> quot(x,y,y)
    9: quot(0(),s(y),z) -> 0()
    10: quot(s(x),s(y),z) -> quot(x,y,z)
    11: quot(x,0(),s(z)) -> s(div(x,s(z)))
    12: div(div(x,y),z) -> div(x,times(y,z))
Number of strict rules: 12
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
   #1: #times(s(x),y) -> #plus(y,times(x,y))
   #2: #times(s(x),y) -> #times(x,y)
   #3: #quot(x,0(),s(z)) -> #div(x,s(z))
   #4: #div(div(x,y),z) -> #div(x,times(y,z))
   #5: #div(div(x,y),z) -> #times(y,z)
   #6: #quot(s(x),s(y),z) -> #quot(x,y,z)
   #7: #plus(s(x),y) -> #plus(x,y)
   #8: #div(x,y) -> #quot(x,y,y)
Number of SCCs: 3, DPs: 6
  SCC { #2 }
POLO(Sum)... succeeded.
      #div	w: 0
      s 	w: x1 + 1
      #plus	w: 0
      div	w: 0
      #times	w: x1
      0 	w: 0
      quot	w: 0
      times	w: 0
      plus	w: 0
      #quot	w: 0
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 2, DPs: 5
  SCC { #7 }
POLO(Sum)... succeeded.
      #div	w: 0
      s 	w: x1 + 1
      #plus	w: x1
      div	w: 0
      #times	w: 0
      0 	w: 0
      quot	w: 0
      times	w: 0
      plus	w: 0
      #quot	w: 0
    USABLE RULES: { }
    Removed DPs: #7
Number of SCCs: 1, DPs: 4
  SCC { #3 #4 #6 #8 }
POLO(Sum)... succeeded.
      #div	w: x1
      s 	w: x1 + 1
      #plus	w: 0
      div	w: x1 + x2 + 1
      #times	w: 0
      0 	w: 1
      quot	w: 0
      times	w: x1 + 1
      plus	w: x1 + x2 + 2
      #quot	w: x1
    USABLE RULES: { }
    Removed DPs: #4 #6
Number of SCCs: 1, DPs: 2
  SCC { #3 #8 }
POLO(Sum)... POLO(max)... succeeded.
      #div	w: max(x2 + 2)
      s 	w: 0
      #plus	w: 0
      div	w: 0
      #times	w: 0
      0 	w: 2
      quot	w: 0
      times	w: 0
      plus	w: 0
      #quot	w: max(x2 + 1, x3 + 1)
    USABLE RULES: { }
    Removed DPs: #3 #8
Number of SCCs: 0, DPs: 0