Consider the following premises. For all x_7, x_7 will sleep and x_7 will read a book. For all x_7, if x_7 cooks, then x_7 is not working. For all x_7, if x_7 sleeps, then x_7 is working. Can we infer the following from them? There is at least one x_7 for which x_7 will cook.
 From the fact that for all x_7, x_7 will sleep and x_7 will read a book we can infer that for all x_7, x_7 will sleep. From the fact that for all x_7, if x_7 sleeps, then x_7 is working, and that for all x_7, x_7 will sleep we can infer that for all x_7, x_7 will work. Finally, from the fact that for all x_7, if x_7 cooks, then x_7 is not working, and that for all x_7, x_7 will work we can infer that for all x_7, x_7 will not cook, which contradicts that There is at least one x_7 for which x_7 will cook. Therefore, the answer is no.