Translate the following inference to logic notation: For all x, if x_8 plays tennis, then x_8 is a police officer. For all x, if x_8 were curious, then x_8 is a doctor. For all x, if x_8 were a police officer, then x_8 is curious. For all x, if x_8 were a doctor, then x_8 is playing tennis. Therefore if Charles were a doctor, then Charles is a police officer.
forall x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: Q(x) -> R(x). forall x: S(x) -> P(x). Therefore S(a) -> Q(a).