Translate the following inference to logic notation: For all x, x_10 is excited or x_10 will play tennis. For all x, x_10 is not excited or x_10 is happy. For all x, x_10 is a nurse if and only if x_10 is a musician. For all x, x_10 is not a musician. For all x, x_10 will play tennis if and only if x_10 is a nurse. Therefore for all x, x_10 is happy.
forall x: P(x) or Q(x). forall x: ~P(x) or R(x). forall x: S(x) <-> T(x). forall x: ~T(x). forall x: Q(x) <-> S(x). Therefore forall x: R(x).