Translate the following inference to logic notation: For all x, x_5 will play squash. For all x, if x_5 were a poet, then x_5 is playing tennis. For all x, if x_5 plays squash, then x_5 is a nurse. For all x, x_5 is a poet. Therefore for all x, x_5 will play tennis and x_5 is a nurse.
forall x: P(x). forall x: Q(x) -> R(x). forall x: P(x) -> S(x). forall x: Q(x). Therefore forall x: R(x) and S(x).