YES
Input TRS:
      1: double(0()) -> 0()
      2: double(s(x)) -> s(s(double(x)))
      3: +(x,0()) -> x
      4: +(x,s(y)) -> s(+(x,y))
      5: +(s(x),y) -> s(+(x,y))
      6: double(x) -> +(x,x)
Number of strict rules: 6
Direct POLO(bPol) ... removes: 1 3 6
      s 	w: x1 + 21239
      0 	w: 2438
      double	w: 2 * x1 + 2
      + 	w: x1 + x2 + 1
Number of strict rules: 3
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #double(s(x)) -> #double(x)
     #2: #+(s(x),y) -> #+(x,y)
     #3: #+(x,s(y)) -> #+(x,y)
Number of SCCs: 2, DPs: 3
  SCC { #1 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      0 	w: 0
      #double	w: x1
      double	w: 0
      + 	w: 0
      #+ 	w: 0
    USABLE RULES: { }
    Removed DPs: #1
Number of SCCs: 1, DPs: 2
  SCC { #2 #3 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      0 	w: 0
      #double	w: 0
      double	w: 0
      + 	w: 0
      #+ 	w: x1
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 1, DPs: 1
  SCC { #3 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      0 	w: 0
      #double	w: 0
      double	w: 0
      + 	w: 0
      #+ 	w: x2
    USABLE RULES: { }
    Removed DPs: #3
Number of SCCs: 0, DPs: 0