YES

TRS:

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

linear polynomial interpretations on N:

  f_A(x1,x2) = x2 + 1
  f#_A(x1,x2) = x2 + 3
  c_A(x1) = x1 + 1
  c#_A(x1) = 2
  s_A(x1) = 0
  s#_A(x1) = x1

precedence:

  f > c > s