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