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