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