Consider the following premises. For all z_1, z_1 will not read a book. For all z_1, z_1 will play tennis if and only if z_1 will read a book. Can we infer the following from them? If we can, name the inference rule being used: There is at least one z_1 for which z_1 will play tennis.
That contradicts the premises. Therefore the answer is no.