Translate the following inference to logic notation: There is at least one x for which x_7 will read a book. For all x, if x_7 were an electrician, then x_7 is a carpenter. For all x, x_7 is an electrician and x_7 will sleep. Therefore there is at least one x for which x_7 is a carpenter and x_7 will read a book.
exists x: P(x). forall x: Q(x) -> R(x). forall x: Q(x) and S(x). Therefore exists x: R(x) and P(x).