Translate the following inference to logic notation: For all x, if x_3 cooks, then x_3 is drinking water. For all x, x_3 will not play tennis or x_3 will cook. There is at least one x for which if x_3 listens to a song, then x_3 is sad. For all x, x_3 will play tennis or x_3 will listen to a song. For all x, if x_3 were sad, then x_3 is drinking water. Therefore there is at least one x for which x_3 will drink water.
forall x: P(x) -> Q(x). forall x: ~R(x) or P(x). exists x: S(x) -> T(x). forall x: R(x) or S(x). forall x: T(x) -> Q(x). Therefore exists x: Q(x).