YES

TRS:

  f(0(),y) -> 0()
  f(s(x),y) -> f(f(x,y),y)

linear polynomial interpretations on N:

  f_A(x1,x2) = 1
  f#_A(x1,x2) = x1
  0_A = 1
  0#_A = 0
  s_A(x1) = x1 + 2
  s#_A(x1) = 0

precedence:

  f = s > 0