Translate the following inference to logic notation: For all x, if x_4 were a writer, then x_4 is running. For all x, x_4 will read a book if and only if x_4 will go running. For all x, x_4 is a scientist or x_4 is a writer. For all x, x_4 is not a scientist or x_4 is an artist. For all x, x_4 is an artist if and only if x_4 will read a book. Therefore for all x, x_4 will go running.
forall x: P(x) -> Q(x). forall x: R(x) <-> Q(x). forall x: S(x) or P(x). forall x: ~S(x) or T(x). forall x: T(x) <-> R(x). Therefore forall x: Q(x).