Translate the following inference to logic notation: For all x, x_6 will play squash or x_6 will cook. For all x, x_6 will not sleep. For all x, if x_6 plays squash, then x_6 is playing tennis. For all x, if x_6 cooks, then x_6 is playing tennis. For all x, x_6 will sleep or x_6 will write a letter. Therefore for all x, x_6 will play tennis and x_6 will write a letter.
forall x: P(x) or Q(x). forall x: ~R(x). forall x: P(x) -> S(x). forall x: Q(x) -> S(x). forall x: R(x) or T(x). Therefore forall x: S(x) and T(x).