Problem:
 f(g(X),Y) -> f(X,n__f(n__g(X),activate(Y)))
 f(X1,X2) -> n__f(X1,X2)
 g(X) -> n__g(X)
 activate(n__f(X1,X2)) -> f(activate(X1),X2)
 activate(n__g(X)) -> g(activate(X))
 activate(X) -> X

Proof:
 Unfolding Processor:
  loop length: 5
  terms:
   activate(n__f(n__g(g(X)),x2927))
   f(activate(n__g(g(X))),x2927)
   f(g(activate(g(X))),x2927)
   f(g(g(X)),x2927)
   f(g(X),n__f(n__g(g(X)),activate(x2927)))
  context: f(X,n__f(n__g(X),[]))
  substitution:
   X -> X
   x2927 -> activate(x2927)
  Qed