YES
Input TRS:
      1: i(0()) -> 0()
      2: +(0(),y) -> y
      3: +(x,0()) -> x
      4: i(i(x)) -> x
      5: +(i(x),x) -> 0()
      6: +(x,i(x)) -> 0()
      7: i(+(x,y)) -> +(i(x),i(y))
      8: +(x,+(y,z)) -> +(+(x,y),z)
      9: +(+(x,i(y)),y) -> x
      10: +(+(x,y),i(y)) -> x
Number of strict rules: 10
Direct POLO(bPol) ... removes: 4 8 1 3 5 10 7 9 6 2
      0 	w: 1
      i 	w: 2 * x1 + 1
      + 	w: x1 + 2 * x2 + 11800
Number of strict rules: 0