Translate the following inference to logic notation: There is at least one x for which x_11 is a cashier or x_11 will read a book. For all x, x_11 will sleep or x_11 will not read a book. For all x, x_11 will take a plane. For all x, if x_11 were a cashier, then x_11 is sleeping. Therefore there is at least one x for which x_11 will sleep and x_11 will take a plane.
exists x: P(x) or Q(x). forall x: R(x) or ~Q(x). forall x: S(x). forall x: P(x) -> R(x). Therefore exists x: R(x) and S(x).