Translate the following inference to logic notation: For all x, x_8 will not read a book or x_8 will sleep. For all x, x_8 will play a game if and only if x_8 will work. For all x, x_8 will read a book or x_8 will work. There is at least one x for which x_8 will not play a game. Therefore there is at least one x for which x_8 will sleep.
forall x: ~P(x) or Q(x). forall x: R(x) <-> S(x). forall x: P(x) or S(x). exists x: ~R(x). Therefore exists x: Q(x).