YES
Input TRS:
      1: terms(N) -> cons(recip(sqr(N)))
      2: sqr(0()) -> 0()
      3: sqr(s()) -> s()
      4: dbl(0()) -> 0()
      5: dbl(s()) -> s()
      6: add(0(),X) -> X
      7: add(s(),Y) -> s()
      8: first(0(),X) -> nil()
      9: first(s(),cons(Y)) -> cons(Y)
Number of strict rules: 9
Direct POLO(bPol) ... removes: 4 8 1 3 5 7 9 6 2
      s 	w: 1
      recip	w: 2 * x1 + 9796
      dbl	w: 2 * x1 + 8947
      0 	w: 1
      nil	w: 0
      first	w: x1 + x2 + 1142
      cons	w: x1 + 28101
      add	w: 2 * x1 + x2 + 26285
      sqr	w: x1 + 5512
      terms	w: 2 * x1 + 48922
Number of strict rules: 0