Translate the following inference to logic notation: For all x, if x_4 works, then x_4 is sleeping. For all x, x_4 will sleep if and only if x_4 is a musician. For all x, x_4 is a musician or x_4 will work. Therefore for all x, x_4 will sleep.
forall x: P(x) -> Q(x). forall x: Q(x) <-> R(x). forall x: R(x) or P(x). Therefore forall x: Q(x).