Translate the following inference to logic notation: For all x, x_3 will play tennis. For all x, x_3 will not write a letter. For all x, x_3 will not play tennis or x_3 will cook. Therefore for all x, x_3 will cook.
forall x: P(x). forall x: ~Q(x). forall x: ~P(x) or R(x). Therefore forall x: R(x).