Consider the following premises. For all x_11, if x_11 were a scientist, then x_11 is cooking. For all x_11, x_11 is a cashier if and only if x_11 will cook. For all x_11, x_11 is a scientist or x_11 is a cashier. There is at least one x_11 for which x_11 will read a book. For all x_11, if x_11 cooks, then x_11 is sleeping. Can we infer the following from them? For all x_11, either x_11 will read a book or x_11 will sleep are not true.
 From the fact that for all x_11, x_11 is a cashier if and only if x_11 will cook we can infer that for all x_11, if x_11 were a cashier, then x_11 is cooking. From the fact that for all x_11, if x_11 were a scientist, then x_11 is cooking, that for all x_11, if x_11 were a cashier, then x_11 is cooking, and that for all x_11, x_11 is a scientist or x_11 is a cashier we can infer that for all x_11, x_11 will cook. From the fact that for all x_11, if x_11 cooks, then x_11 is sleeping, and that for all x_11, x_11 will cook we can infer that for all x_11, x_11 will sleep. Finally, from the fact that there is at least one x_11 for which x_11 will read a book, and that for all x_11, x_11 will sleep we can infer that there is at least one x_11 for which x_11 will read a book and x_11 will sleep, which contradicts that For all x_11, either x_11 will read a book or x_11 will sleep are not true. Therefore, the answer is no.