MAYBE
MAYBE
TRS:
 {
                   f(X) -> cons(X, n__f(n__g(X))),
                   f(X) -> n__f(X),
                   g(X) -> n__g(X),
                g(s(X)) -> s(s(g(X))),
                 g(0()) -> s(0()),
  sel(s(X), cons(Y, Z)) -> sel(X, activate(Z)),
   sel(0(), cons(X, Y)) -> X,
            activate(X) -> X,
      activate(n__f(X)) -> f(activate(X)),
      activate(n__g(X)) -> g(activate(X))
 }
 DUP: We consider a duplicating system.
  Trs:
   {
                     f(X) -> cons(X, n__f(n__g(X))),
                     f(X) -> n__f(X),
                     g(X) -> n__g(X),
                  g(s(X)) -> s(s(g(X))),
                   g(0()) -> s(0()),
    sel(s(X), cons(Y, Z)) -> sel(X, activate(Z)),
     sel(0(), cons(X, Y)) -> X,
              activate(X) -> X,
        activate(n__f(X)) -> f(activate(X)),
        activate(n__g(X)) -> g(activate(X))
   }
  Fail