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