MAYBE
MAYBE
TRS:
 {
                        app(app(map(), f), nil()) -> nil(),
      app(app(map(), f), app(app(cons(), x), xs)) ->
  app(app(cons(), app(f, x)), app(app(map(), f), xs)),
         app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                 app(app(le(), app(s(), x)), 0()) -> false(),
                           app(app(le(), 0()), y) -> true(),
                    app(app(maxlist(), x), nil()) -> x,
  app(app(maxlist(), x), app(app(cons(), y), ys)) ->
  app(app(if(), app(app(le(), x), y)), app(app(maxlist(), y), ys)),
           app(height(), app(app(node(), x), xs)) ->
  app(s(), app(app(maxlist(), 0()), app(app(map(), height()), xs)))
 }
 DUP: We consider a duplicating system.
  Trs:
   {
                          app(app(map(), f), nil()) -> nil(),
        app(app(map(), f), app(app(cons(), x), xs)) ->
    app(app(cons(), app(f, x)), app(app(map(), f), xs)),
           app(app(le(), app(s(), x)), app(s(), y)) -> app(app(le(), x), y),
                   app(app(le(), app(s(), x)), 0()) -> false(),
                             app(app(le(), 0()), y) -> true(),
                      app(app(maxlist(), x), nil()) -> x,
    app(app(maxlist(), x), app(app(cons(), y), ys)) ->
    app(app(if(), app(app(le(), x), y)), app(app(maxlist(), y), ys)),
             app(height(), app(app(node(), x), xs)) ->
    app(s(), app(app(maxlist(), 0()), app(app(map(), height()), xs)))
   }
  Fail