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