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