Translate the following inference to logic notation: There is at least one x for which if x_6 sleeps, then x_6 is playing squash. For all x, if x_6 were a sailor, then x_6 is a carpenter. For all x, x_6 will sleep. For all x, if x_6 listens to a song, then x_6 is a carpenter. For all x, x_6 is a sailor or x_6 will listen to a song. Therefore there is at least one x for which x_6 will play squash and x_6 is a carpenter.
exists x: P(x) -> Q(x). forall x: R(x) -> S(x). forall x: P(x). forall x: T(x) -> S(x). forall x: R(x) or T(x). Therefore exists x: Q(x) and S(x).