YES
O(n)
TRS:
 {      g(a()) -> b(),
           a() -> g(c()),
  f(g(X), b()) -> f(a(), X)}
 Natural interpretation:
  Strict:
   {      g(a()) -> b(),
             a() -> g(c()),
    f(g(X), b()) -> f(a(), X)}
  Weak:
   {}
  Interpretation class: stronglylinear
  [f](X1, X0) = + 1*X0 + 1*X1 + 0
  [b] = + 3
  [a] = + 3
  [c] = + 1
  [g](X0) = + 1*X0 + 1
  
  Qed