Translate the following inference to logic notation: For all x, if x were a writer, then x is a lawyer. For all x, if x drives a car, then x is a scientist. For all x, if x were a scientist, then x is running. For all x, if x were a lawyer, then x is driving a car. Therefore for all x, if x were a writer, then x is running.
forall x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: S(x) -> T(x). forall x: Q(x) -> R(x). Therefore forall x: P(x) -> T(x).