Translate the following inference to logic notation: There is at least one x for which if x_10 sleeps, then x_10 is taking a plane. For all x, x_10 will take a plane and x_10 is a musician. For all x, if x_10 takes a plane, then x_10 is sleeping. Therefore there is at least one x for which x_10 will sleep.
exists x: P(x) -> Q(x). forall x: Q(x) and R(x). forall x: Q(x) -> P(x). Therefore exists x: P(x).