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