Translate the following inference to logic notation: For all x, x_4 is bored. For all x, if x_4 reads a book, then x_4 is an artist. There is at least one x for which x_4 is not bored or x_4 will sleep. For all x, if x_4 sleeps, then x_4 is an artist. Therefore there is at least one x for which x_4 is an artist.
forall x: P(x). forall x: Q(x) -> R(x). exists x: ~P(x) or S(x). forall x: S(x) -> R(x). Therefore exists x: R(x).