Translate the following inference to logic notation: For all x, if x_8 were a nurse, then x_8 is an artist. For all x, if x_8 were a nurse, then x_8 is not rich. For all x, x_8 is rich and x_8 is a police officer. For all x, if x_8 were an artist, then x_8 is a nurse. Therefore for all x, x_8 is not an artist.
forall x: P(x) -> Q(x). forall x: P(x) -> ~R(x). forall x: R(x) and S(x). forall x: Q(x) -> P(x). Therefore forall x: ~Q(x).