MAYBE
MAYBE
TRS:
 {
   app(app(app(app(filter2(), true()), f), x), xs) ->
  app(app(cons(), x), app(app(filter(), f), xs)),
  app(app(app(app(filter2(), false()), f), x), xs) ->
  app(app(filter(), f), xs),
       app(app(map(), f), app(app(cons(), x), xs)) ->
  app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                         app(app(map(), f), nil()) -> nil(),
    app(app(filter(), f), app(app(cons(), x), xs)) ->
  app(app(app(app(filter2(), app(f, x)), f), x), xs),
                      app(app(filter(), f), nil()) -> nil(),
                     app(D(), app(app(+(), x), y)) ->
  app(app(+(), app(D(), x)), app(D(), y)),
                     app(D(), app(app(*(), x), y)) ->
  app(app(+(), app(app(*(), y), app(D(), x))), app(app(*(), x), app(D(), y))),
                     app(D(), app(app(-(), x), y)) ->
  app(app(-(), app(D(), x)), app(D(), y)),
                   app(D(), app(app(div(), x), y)) ->
  app(
     app(-(), app(app(div(), app(D(), x)), y)),
     app(app(div(), app(app(*(), x), app(D(), y))), app(app(pow(), y), 2()))
  ),
                   app(D(), app(app(pow(), x), y)) ->
  app(
     app(
        +(),
        app(
           app(
              *(),
              app(app(*(), y), app(app(pow(), x), app(app(-(), y), 1())))
           ), app(D(), x)
        )
     ),
     app(
        app(*(), app(app(*(), app(app(pow(), x), y)), app(ln(), x))),
        app(D(), y)
     )
  ),
                         app(D(), app(minus(), x)) ->
  app(minus(), app(D(), x)),
                            app(D(), app(ln(), x)) ->
  app(app(div(), app(D(), x)), x),
                                     app(D(), t()) -> 1(),
                              app(D(), constant()) -> 0()
 }
 DUP: We consider a duplicating system.
  Trs:
   {
     app(app(app(app(filter2(), true()), f), x), xs) ->
    app(app(cons(), x), app(app(filter(), f), xs)),
    app(app(app(app(filter2(), false()), f), x), xs) ->
    app(app(filter(), f), xs),
         app(app(map(), f), app(app(cons(), x), xs)) ->
    app(app(cons(), app(f, x)), app(app(map(), f), xs)),
                           app(app(map(), f), nil()) -> nil(),
      app(app(filter(), f), app(app(cons(), x), xs)) ->
    app(app(app(app(filter2(), app(f, x)), f), x), xs),
                        app(app(filter(), f), nil()) -> nil(),
                       app(D(), app(app(+(), x), y)) ->
    app(app(+(), app(D(), x)), app(D(), y)),
                       app(D(), app(app(*(), x), y)) ->
    app(
       app(+(), app(app(*(), y), app(D(), x))), app(app(*(), x), app(D(), y))
    ),
                       app(D(), app(app(-(), x), y)) ->
    app(app(-(), app(D(), x)), app(D(), y)),
                     app(D(), app(app(div(), x), y)) ->
    app(
       app(-(), app(app(div(), app(D(), x)), y)),
       app(app(div(), app(app(*(), x), app(D(), y))), app(app(pow(), y), 2())
       )
    ),
                     app(D(), app(app(pow(), x), y)) ->
    app(
       app(
          +(),
          app(
             app(
                *(),
                app(app(*(), y), app(app(pow(), x), app(app(-(), y), 1())))
             ), app(D(), x)
          )
       ),
       app(
          app(*(), app(app(*(), app(app(pow(), x), y)), app(ln(), x))),
          app(D(), y)
       )
    ),
                           app(D(), app(minus(), x)) ->
    app(minus(), app(D(), x)),
                              app(D(), app(ln(), x)) ->
    app(app(div(), app(D(), x)), x),
                                       app(D(), t()) -> 1(),
                                app(D(), constant()) -> 0()
   }
  Fail