Translate the following inference to logic notation: There is at least one x for which if x_5 were a musician, then x_5 is playing a game. For all x, if x_5 were a soldier, then x_5 is a musician. For all x, if x_5 writes a letter, then x_5 is a soldier. For all x, if x_5 drinks water, then x_5 is writing a letter. Therefore there is at least one x for which if x_5 drinks water, then x_5 is playing a game.
exists x: P(x) -> Q(x). forall x: R(x) -> P(x). forall x: S(x) -> R(x). forall x: T(x) -> S(x). Therefore exists x: T(x) -> Q(x).