YES
Input TRS:
AC symbols: plus
      1: f(plus(x,y)) -> plus(f(x),y)
      2: plus(g(x),y) -> g(plus(x,y))
      3: plus(f(a()),g(b())) -> plus(f(b()),g(a()))
      4: h(a(),b()) -> h(b(),a())
      5: h(a(),g(g(a()))) -> h(g(a()),f(a()))
      6: h(g(a()),a()) -> h(a(),g(b()))
      7: h(g(a()),b()) -> h(a(),g(a()))
Number of strict rules: 7
Direct POLO(bPol) ... removes: 1 5
      a 	w: 841
      h 	w: x1 + x2
      b 	w: 841
      f 	w: 2 * x1
      plus	w: x1 + x2 + 18588
      g 	w: x1 + 842
Number of strict rules: 5
Direct POLO(bPol) ... removes: 4 7 6
      a 	w: 28225
      h 	w: 2 * x1 + x2
      b 	w: 28224
      f 	w: x1
      plus	w: x1 + x2 + 18588
      g 	w: x1 + 844
Number of strict rules: 2
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #plus(g(x),y) -> #plus(x,y)
     #2: #plus(f(a()),g(b())) -> #plus(f(b()),g(a()))
     #3: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
     #4: #plus(x,plus(y,z)) ->= #plus(x,y)
Number of SCCs: 1, DPs: 4
  SCC { #1..4 }
POLO(Sum)... succeeded.
      a 	w: 1
      h 	w: 0
      b 	w: 2
      #plus	w: x1 + x2
      f 	w: 0
      plus	w: x1 + x2 + 8856
      g 	w: x1 + 11798
    USABLE RULES: { 2 3 8 }
    Removed DPs: #1 #2 #4
Number of SCCs: 1, DPs: 1
  SCC { #3 }
only weak rules.
Number of SCCs: 0, DPs: 0
Next Dependency Pairs:
     #5: #plus(plus(g(x),y),_1) -> #plus(g(plus(x,y)),_1)
     #6: #plus(plus(f(a()),g(b())),_1) -> #plus(plus(f(b()),g(a())),_1)
     #7: #plus(x,plus(y,z)) ->= #plus(plus(x,y),z)
     #8: #plus(x,plus(y,z)) ->= #plus(x,y)
Number of SCCs: 1, DPs: 4
  SCC { #5..8 }
POLO(Sum)... succeeded.
      a 	w: 1
      h 	w: 0
      b 	w: 2
      #plus	w: x1 + x2
      f 	w: 0
      plus	w: x1 + x2 + 8856
      g 	w: x1 + 42736
    USABLE RULES: { 2 3 8 }
    Removed DPs: #6 #8
Number of SCCs: 1, DPs: 2
  SCC { #5 #7 }
POLO(Sum)... succeeded.
      a 	w: 1
      h 	w: 0
      b 	w: 2
      #plus	w: x1 + x2
      f 	w: 23623
      plus	w: x1 + x2 + 1
      g 	w: 20538
    USABLE RULES: { 2 3 8 }
    Removed DPs: #5
Number of SCCs: 1, DPs: 1
  SCC { #7 }
only weak rules.
Number of SCCs: 0, DPs: 0