Translate the following inference to logic notation: For all x, x_12 will climb a mountain or x_12 will play tennis. For all x, x_12 will climb a mountain if and only if x_12 will take a plane. For all x, x_12 is not an office clerk. For all x, x_12 will take a plane if and only if x_12 is an office clerk. Therefore for all x, x_12 will play tennis.
forall x: P(x) or Q(x). forall x: P(x) <-> R(x). forall x: ~S(x). forall x: R(x) <-> S(x). Therefore forall x: Q(x).