/export/starexec/sandbox2/solver/bin/starexec_run_Default /export/starexec/sandbox2/benchmark/theBenchmark.xml /export/starexec/sandbox2/output/output_files


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MAYBE
Input TRS:
    1: f(true(),true(),x,s(y)) -> f(isNat(x),isNat(y),s(x),double(s(y)))
    2: isNat(0()) -> true()
    3: isNat(s(x)) -> isNat(x)
    4: double(0()) -> 0()
    5: double(s(x)) -> s(s(double(x)))
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Uncurrying double
1: f(true(),true(),x,s(y)) -> f(isNat(x),isNat(y),s(x),double^1_s(y))
2: isNat(0()) -> true()
3: isNat(s(x)) -> isNat(x)
4: double^1_0() -> 0()
5: double^1_s(x) -> s(s(double(x)))
6: double(0()) ->= double^1_0()
7: double(s(_1)) ->= double^1_s(_1)
Number of strict rules: 5
Direct POLO(bPol) ... failed.
Dependency Pairs:
   #1: #double(0()) ->? #double^1_0()
   #2: #double(s(_1)) ->? #double^1_s(_1)
   #3: #double^1_s(x) -> #double(x)
   #4: #isNat(s(x)) -> #isNat(x)
   #5: #f(true(),true(),x,s(y)) -> #f(isNat(x),isNat(y),s(x),double^1_s(y))
   #6: #f(true(),true(),x,s(y)) -> #isNat(x)
   #7: #f(true(),true(),x,s(y)) -> #isNat(y)
   #8: #f(true(),true(),x,s(y)) -> #double^1_s(y)
Number of SCCs: 3, DPs: 4
  SCC { #4 }
POLO(Sum)... succeeded.
      double^1_s	w: 0
      s 	w: x1 + 1
      #isNat	w: x1
      double^1_0	w: 0
      true	w: 0
      f 	w: 0
      #double^1_0	w: 0
      0 	w: 0
      #double	w: 0
      double	w: 0
      #f 	w: 0
      isNat	w: 0
      #double^1_s	w: 0
    USABLE RULES: { }
    Removed DPs: #4
Number of SCCs: 2, DPs: 3
  SCC { #2 #3 }
POLO(Sum)... succeeded.
      double^1_s	w: 0
      s 	w: x1 + 2
      #isNat	w: 0
      double^1_0	w: 0
      true	w: 0
      f 	w: 0
      #double^1_0	w: 0
      0 	w: 0
      #double	w: x1
      double	w: 0
      #f 	w: 0
      isNat	w: 0
      #double^1_s	w: x1 + 1
    USABLE RULES: { }
    Removed DPs: #2 #3
Number of SCCs: 1, DPs: 1
  SCC { #5 }
POLO(Sum)... POLO(max)... QLPOS... POLO(mSum)... QWPOpS(mSum)... Mat2b... failed.
Finding a loop...  failed.