YES
Input TRS:
AC symbols: +
      1: +(g(x),g(y)) -> g(+(g(a()),+(x,y)))
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #+(x,+(y,z)) ->= #+(+(x,y),z)
     #2: #+(x,+(y,z)) ->= #+(x,y)
     #3: #+(g(x),g(y)) -> #+(g(a()),+(x,y))
     #4: #+(g(x),g(y)) -> #+(x,y)
Number of SCCs: 1, DPs: 4
  SCC { #1..4 }
POLO(Sum)... succeeded.
      a 	w: 0
      + 	w: x1 + x2
      g 	w: x1 + 7720
      #+ 	w: x1 + x2
    USABLE RULES: { 1 2 }
    Removed DPs: #3 #4
Number of SCCs: 1, DPs: 2
  SCC { #1 #2 }
only weak rules.
Number of SCCs: 0, DPs: 0
Next Dependency Pairs:
     #5: #+(x,+(y,z)) ->= #+(+(x,y),z)
     #6: #+(x,+(y,z)) ->= #+(x,y)
     #7: #+(+(g(x),g(y)),_1) -> #+(g(+(g(a()),+(x,y))),_1)
Number of SCCs: 1, DPs: 3
  SCC { #5..7 }
POLO(Sum)... succeeded.
      a 	w: 0
      + 	w: x1 + x2 + 1
      g 	w: 21239
      #+ 	w: x1 + x2
    USABLE RULES: { 1 2 }
    Removed DPs: #6 #7
Number of SCCs: 1, DPs: 1
  SCC { #5 }
only weak rules.
Number of SCCs: 0, DPs: 0