YES
Input TRS:
      1: O(0()) -> 0()
      2: +(0(),x) -> x
      3: +(x,0()) -> x
      4: +(O(x),O(y)) -> O(+(x,y))
      5: +(O(x),I(y)) -> I(+(x,y))
      6: +(I(x),O(y)) -> I(+(x,y))
      7: +(I(x),I(y)) -> O(+(+(x,y),I(0())))
      8: *(0(),x) -> 0()
      9: *(x,0()) -> 0()
      10: *(O(x),y) -> O(*(x,y))
      11: *(I(x),y) -> +(O(*(x,y)),y)
      12: -(x,0()) -> x
      13: -(0(),x) -> 0()
      14: -(O(x),O(y)) -> O(-(x,y))
      15: -(O(x),I(y)) -> I(-(-(x,y),I(1())))
      16: -(I(x),O(y)) -> I(-(x,y))
      17: -(I(x),I(y)) -> O(-(x,y))
Number of strict rules: 17
Direct POLO(bPol) ... failed.
Uncurrying ... failed.
Dependency Pairs:
     #1: #+(I(x),O(y)) -> #+(x,y)
     #2: #*(I(x),y) -> #+(O(*(x,y)),y)
     #3: #*(I(x),y) -> #O(*(x,y))
     #4: #*(I(x),y) -> #*(x,y)
     #5: #-(O(x),O(y)) -> #O(-(x,y))
     #6: #-(O(x),O(y)) -> #-(x,y)
     #7: #+(I(x),I(y)) -> #O(+(+(x,y),I(0())))
     #8: #+(I(x),I(y)) -> #+(+(x,y),I(0()))
     #9: #+(I(x),I(y)) -> #+(x,y)
     #10: #*(O(x),y) -> #O(*(x,y))
     #11: #*(O(x),y) -> #*(x,y)
     #12: #+(O(x),I(y)) -> #+(x,y)
     #13: #-(I(x),I(y)) -> #O(-(x,y))
     #14: #-(I(x),I(y)) -> #-(x,y)
     #15: #-(I(x),O(y)) -> #-(x,y)
     #16: #-(O(x),I(y)) -> #-(-(x,y),I(1()))
     #17: #-(O(x),I(y)) -> #-(x,y)
     #18: #+(O(x),O(y)) -> #O(+(x,y))
     #19: #+(O(x),O(y)) -> #+(x,y)
Number of SCCs: 3, DPs: 12
  SCC { #4 #11 }
POLO(Sum)... succeeded.
      1 	w: 0
      #O 	w: 0
      #* 	w: x1
      O 	w: x1 + 1
      I 	w: x1 + 1
      0 	w: 0
      - 	w: 0
      #- 	w: 0
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #4 #11
Number of SCCs: 2, DPs: 10
  SCC { #6 #14..17 }
POLO(Sum)... succeeded.
      1 	w: 0
      #O 	w: 0
      #* 	w: 0
      O 	w: x1 + 3
      I 	w: x1 + 1
      0 	w: 1
      - 	w: x1 + x2 + 3
      #- 	w: x2
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { }
    Removed DPs: #6 #14 #15 #17
Number of SCCs: 2, DPs: 6
  SCC { #16 }
POLO(Sum)... succeeded.
      1 	w: 0
      #O 	w: 0
      #* 	w: 0
      O 	w: x1 + 28101
      I 	w: x1 + 28101
      0 	w: 1424
      - 	w: x1
      #- 	w: x1
      + 	w: 0
      #+ 	w: 0
      * 	w: 0
    USABLE RULES: { 1 12..17 }
    Removed DPs: #16
Number of SCCs: 1, DPs: 5
  SCC { #1 #8 #9 #12 #19 }
POLO(Sum)... succeeded.
      1 	w: 0
      #O 	w: 0
      #* 	w: 0
      O 	w: x1 + 1
      I 	w: x1 + 1
      0 	w: 0
      - 	w: x1
      #- 	w: x1
      + 	w: 25907
      #+ 	w: x2
      * 	w: 0
    USABLE RULES: { 1 12..17 }
    Removed DPs: #1 #9 #12 #19
Number of SCCs: 1, DPs: 1
  SCC { #8 }
POLO(Sum)... succeeded.
      1 	w: 1
      #O 	w: 0
      #* 	w: 0
      O 	w: x1 + 18588
      I 	w: x1 + 18588
      0 	w: 0
      - 	w: x1
      #- 	w: 0
      + 	w: x1 + x2
      #+ 	w: x1 + x2
      * 	w: 0
    USABLE RULES: { 1..7 }
    Removed DPs: #8
Number of SCCs: 0, DPs: 0