Consider the following premises. For all x_8, x_8 will play squash if and only if x_8 will cook. For all x_8, x_8 will cook if and only if x_8 is a janitor. For all x_8, x_8 will play squash or x_8 is a janitor. Can we infer the following from them? There is at least one x_8 for which x_8 will not cook.
 From the fact that for all x_8, x_8 will cook if and only if x_8 is a janitor we can infer that for all x_8, if x_8 were a janitor, then x_8 is cooking. From the fact that for all x_8, x_8 will play squash if and only if x_8 will cook we can infer that for all x_8, if x_8 plays squash, then x_8 is cooking. Finally, from the fact that for all x_8, if x_8 plays squash, then x_8 is cooking, that for all x_8, if x_8 were a janitor, then x_8 is cooking, and that for all x_8, x_8 will play squash or x_8 is a janitor we can infer that for all x_8, x_8 will cook, which contradicts that There is at least one x_8 for which x_8 will not cook. Therefore, the answer is no.