YES
Input TRS:
      1: +(+(x,y),z) -> +(x,+(y,z))
      2: +(f(x),f(y)) -> f(+(x,y))
      3: +(f(x),+(f(y),z)) -> +(f(+(x,y)),z)
Number of strict rules: 3
Direct POLO(bPol) ... removes: 3 2
      f 	w: x1 + 1
      + 	w: x1 + x2 + 8856
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #+(+(x,y),z) -> #+(x,+(y,z))
     #2: #+(+(x,y),z) -> #+(y,z)
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
POLO(Sum)... succeeded.
      f 	w: 0
      + 	w: x1 + x2 + 1
      #+ 	w: x1
    USABLE RULES: { }
    Removed DPs: #1 #2
Number of SCCs: 0, DPs: 0