YES(?,O(n^2))
TRS:
 {
          f x -> x,
        f f x -> f d f x,
  f c(s x, y) -> f c(x, s y),
  g c(x, s y) -> g c(s x, y)
 }
 DUP: We consider a non-duplicating system.
  Trs:
   {
            f x -> x,
          f f x -> f d f x,
    f c(s x, y) -> f c(x, s y),
    g c(x, s y) -> g c(s x, y)
   }
  Matrix Interpretation:
   Interpretation class: triangular
       [X1]    [1 1][X1]   [0]
   [d]([X0]) = [0 0][X0] + [0]
   
       [X1]    [1 0][X1]   [0]
   [s]([X0]) = [0 1][X0] + [3]
   
       [X3]  [X1]    [1 2][X3]   [1 3][X1]   [0]
   [c]([X2], [X0]) = [0 1][X2] + [0 0][X0] + [0]
   
       [X1]    [1 0][X1]   [0]
   [g]([X0]) = [0 0][X0] + [0]
   
       [X1]    [1 3][X1]   [2]
   [f]([X0]) = [0 1][X0] + [2]
   
   
   Qed