YES
Input TRS:
      1: +(a(),b()) -> +(b(),a())
      2: +(a(),+(b(),z)) -> +(b(),+(a(),z))
      3: +(+(x,y),z) -> +(x,+(y,z))
      4: f(a(),y) -> a()
      5: f(b(),y) -> b()
      6: f(+(x,y),z) -> +(f(x,z),f(y,z))
Number of strict rules: 6
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #+(a(),+(b(),z)) -> #+(b(),+(a(),z))
     #2: #+(a(),+(b(),z)) -> #+(a(),z)
     #3: #f(+(x,y),z) -> #+(f(x,z),f(y,z))
     #4: #f(+(x,y),z) -> #f(x,z)
     #5: #f(+(x,y),z) -> #f(y,z)
     #6: #+(+(x,y),z) -> #+(x,+(y,z))
     #7: #+(+(x,y),z) -> #+(y,z)
     #8: #+(a(),b()) -> #+(b(),a())
Number of SCCs: 3, DPs: 5
  SCC { #2 }
POLO(Sum)... succeeded.
      a 	w: 0
      b 	w: 1
      f 	w: 0
      #f 	w: 0
      + 	w: x1 + x2
      #+ 	w: x2
    USABLE RULES: { }
    Removed DPs: #2
Number of SCCs: 2, DPs: 4
  SCC { #4 #5 }
POLO(Sum)... succeeded.
      a 	w: 0
      b 	w: 1
      f 	w: 0
      #f 	w: x1
      + 	w: x1 + x2 + 1
      #+ 	w: 0
    USABLE RULES: { }
    Removed DPs: #4 #5
Number of SCCs: 1, DPs: 2
  SCC { #6 #7 }
POLO(Sum)... succeeded.
      a 	w: 1
      b 	w: 23676
      f 	w: 0
      #f 	w: 0
      + 	w: x1 + x2 + 1
      #+ 	w: x1
    USABLE RULES: { }
    Removed DPs: #6 #7
Number of SCCs: 0, DPs: 0