Translate the following inference to logic notation: There is at least one x for which if x_3 were a scientist, then x_3 is a police officer. For all x, if x_3 drinks water, then x_3 is a police officer. For all x, x_3 will cook. For all x, if x_3 cooks, then x_3 is drinking water. Therefore there is at least one x for which x_3 is a police officer.
exists x: P(x) -> Q(x). forall x: R(x) -> Q(x). forall x: S(x). forall x: S(x) -> R(x). Therefore exists x: Q(x).