Translate the following inference to logic notation: For all x, if y were a taxi driver, then y is taking a plane. For all x, if y takes a plane, then y is a taxi driver. Karen is taking a plane or Charles is not a scientist. Therefore if Charles were a scientist, then Karen is a taxi driver.
forall x: P(x) -> Q(x). forall x: Q(x) -> P(x). Q(a) or ~p. Therefore p -> P(a).