Translate the following inference to logic notation: For all x, x_14 is a police officer or x_14 will play tennis. For all x, x_14 is not a police officer. For all x, x_14 will write a letter or x_14 will not play tennis. For all x, x_14 will write a letter if and only if x_14 will take a plane. Therefore for all x, x_14 will write a letter.
forall x: P(x) or Q(x). forall x: ~P(x). forall x: R(x) or ~Q(x). forall x: R(x) <-> S(x). Therefore forall x: R(x).