Translate the following inference to logic notation: For all x, x_5 is an artist. For all x, x_5 is a police officer. For all x, if x_5 sleeps, then x_5 is excited. For all x, if x_5 were an artist, then x_5 is excited. Therefore for all x, x_5 is a police officer and x_5 is excited.
forall x: P(x). forall x: Q(x). forall x: R(x) -> S(x). forall x: P(x) -> S(x). Therefore forall x: Q(x) and S(x).