Translate the following inference to logic notation: For all x, z_1 will play squash or z_1 is not a scientist. For all x, z_1 will sleep if and only if z_1 is a scientist. Therefore for all x, if z_1 sleeps, then z_1 is playing squash.
forall x: P(x) or ~Q(x). forall x: R(x) <-> Q(x). Therefore forall x: R(x) -> P(x).