Translate the following inference to logic notation: For all x, if x_9 takes a plane, then x_9 is running. For all x, x_9 will go running. For all x, if x_9 goes running, then x_9 is taking a plane. Therefore Patricia is taking a plane.
forall x: P(x) -> Q(x). forall x: Q(x). forall x: Q(x) -> P(x). Therefore P(a).