YES
Input TRS:
AC symbols: plus
      1: plus(x,0()) -> x
      2: plus(x,s(y)) -> s(plus(x,y))
Number of strict rules: 2
Direct POLO(bPol) ... removes: 1
      s 	w: x1
      0 	w: 1
      plus	w: x1 + x2
Number of strict rules: 1
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #plus(x,s(y)) -> #plus(x,y)
     #2: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
     #3: #plus(x,plus(y,z)) ->= #plus(x,y)
Number of SCCs: 1, DPs: 3
  SCC { #1..3 }
POLO(Sum)... succeeded.
      s 	w: x1 + 1
      #plus	w: x1 + x2
      0 	w: 0
      plus	w: x1 + x2 + 39
    USABLE RULES: { 2 3 }
    Removed DPs: #1 #3
Number of SCCs: 1, DPs: 1
  SCC { #2 }
only weak rules.
Number of SCCs: 0, DPs: 0
Next Dependency Pairs:
     #4: #plus(plus(x,s(y)),_1) -> #plus(s(plus(x,y)),_1)
     #5: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
     #6: #plus(x,plus(y,z)) ->= #plus(x,y)
Number of SCCs: 1, DPs: 3
  SCC { #4..6 }
POLO(Sum)... succeeded.
      s 	w: 20653
      #plus	w: x1 + x2
      0 	w: 0
      plus	w: x1 + x2 + 1
    USABLE RULES: { 2 3 }
    Removed DPs: #4 #6
Number of SCCs: 1, DPs: 1
  SCC { #5 }
only weak rules.
Number of SCCs: 0, DPs: 0