YES

TRS:

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

linear polynomial interpretations on N:

  f_A(x1,x2,x3) = 0
  f#_A(x1,x2,x3) = x1 + x2
  s_A(x1) = x1 + 1
  s#_A(x1) = 0

precedence:

  s > f