Translate the following inference to logic notation: For all x, z will read a book. For all x, z will sleep or z is a cashier. For all x, z will sleep if and only if z is a scientist. For all x, z is not a scientist. Therefore for all x, z will read a book and z is a cashier.
forall x: P(x). forall x: Q(x) or R(x). forall x: Q(x) <-> S(x). forall x: ~S(x). Therefore forall x: P(x) and R(x).