Translate the following inference to logic notation: For all x, if x_5 were rich, then x_5 is a lawyer. For all x, x_5 will drink water if and only if x_5 is rich. For all x, x_5 is not a lawyer. For all x, x_5 will take a plane if and only if x_5 will drink water. Therefore for all x, x_5 will not take a plane.
forall x: P(x) -> Q(x). forall x: R(x) <-> P(x). forall x: ~Q(x). forall x: S(x) <-> R(x). Therefore forall x: ~S(x).