Consider the following premises. For all x_7, if x_7 reads a book, then x_7 is not a cashier. For all x_7, x_7 is a lawyer or x_7 will read a book. For all x_7, x_7 is a cashier. There is at least one x_7 for which x_7 is not a lawyer or x_7 will cook. 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 is a lawyer or x_7 will read a book, and that there is at least one x_7 for which x_7 is not a lawyer or x_7 will cook we can infer that there is at least one x_7 for which x_7 will read a book or x_7 will cook. From the fact that for all x_7, if x_7 reads a book, then x_7 is not a cashier, and that for all x_7, x_7 is a cashier we can infer that for all x_7, x_7 will not read a book. Finally, from the fact that there is at least one x_7 for which x_7 will read a book or x_7 will cook, and that for all x_7, x_7 will not read a book we can infer that there is at least one x_7 for which x_7 will cook. Therefore, the answer is yes.