Translate the following inference to logic notation: For all x, if x were excited, then x is an artist. For all x, if x were an astronaut, then x is an artist. For all x, if x were an artist, then x is an astronaut. For all x, if x were an astronaut, then x is excited. For all x, x is not an astronaut. Therefore for all x, x is not an artist.
forall x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: Q(x) -> R(x). forall x: R(x) -> P(x). forall x: ~R(x). Therefore forall x: ~Q(x).