Translate the following inference to logic notation: For all x, x_6 is rich or x_6 will drink water. For all x, x_6 will go running. For all x, if x_6 drinks water, then x_6 is a scientist. For all x, if x_6 were rich, then x_6 is not running. Therefore for all x, x_6 is a scientist.
forall x: P(x) or Q(x). forall x: R(x). forall x: Q(x) -> S(x). forall x: P(x) -> ~R(x). Therefore forall x: S(x).