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(minus(), x), 0()) -> x,
  app(app(minus(), app(s(), x)), app(s(), y)) ->
  app(app(minus(), app(p(), app(s(), x))), app(p(), app(s(), y))),
    app(app(div(), app(s(), x)), app(s(), y)) ->
  app(s(), app(app(div(), app(app(minus(), x), app(id(), y))), app(s(), y))),
            app(app(div(), 0()), app(s(), y)) -> 0(),
                        app(p(), app(s(), x)) -> x,
                                 app(id(), x) -> x,
                                 app(id(), x) ->
  app(s(), app(s(), app(s(), x))),
                       app(id(), app(p(), x)) ->
  app(id(), app(s(), app(id(), x)))
 }
 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(minus(), x), 0()) -> x,
    app(app(minus(), app(s(), x)), app(s(), y)) ->
    app(app(minus(), app(p(), app(s(), x))), app(p(), app(s(), y))),
      app(app(div(), app(s(), x)), app(s(), y)) ->
    app(s(), app(app(div(), app(app(minus(), x), app(id(), y))), app(s(), y))
    ),
              app(app(div(), 0()), app(s(), y)) -> 0(),
                          app(p(), app(s(), x)) -> x,
                                   app(id(), x) -> x,
                                   app(id(), x) ->
    app(s(), app(s(), app(s(), x))),
                         app(id(), app(p(), x)) ->
    app(id(), app(s(), app(id(), x)))
   }
  Fail