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