Translate the following inference to logic notation: For all x, x_13 will read a book if and only if x_13 will cook. For all x, if x_13 reads a book, then x_13 is running. For all x, if x_13 goes running, then x_13 is cooking. For all x, if x_13 goes running, then x_13 is playing squash. Therefore for all x, if x_13 cooks, then x_13 is playing squash.
forall x: P(x) <-> Q(x). forall x: P(x) -> R(x). forall x: R(x) -> Q(x). forall x: R(x) -> S(x). Therefore forall x: Q(x) -> S(x).