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