Consider the following premises. For all y_2, y_2 will read a book. For all y_2, y_2 will not read a book. There is at least one y_2 for which if y_2 plays tennis, then y_2 is sleeping. Can we infer the following from them? For all y_2, y_2 will not read a book.
That is one of the premises. Therefore, the answer is yes.