Consider the following premises. For all x_6, x_6 will not drive a car. For all x_6, if x_6 were a server, then x_6 is cooking. For all x_6, x_6 is a server if and only if x_6 is a janitor. For all x_6, if x_6 cooks, then x_6 is a server. For all x_6, if x_6 were a janitor, then x_6 is driving a car. Can we infer the following from them? There is at least one x_6 for which x_6 will cook.
 From the fact that for all x_6, if x_6 were a janitor, then x_6 is driving a car, and that for all x_6, x_6 will not drive a car we can infer that for all x_6, x_6 is not a janitor. From the fact that for all x_6, x_6 is a server if and only if x_6 is a janitor, and that for all x_6, x_6 is not a janitor we can infer that for all x_6, x_6 is not a server. From the fact that for all x_6, if x_6 cooks, then x_6 is a server, and that for all x_6, if x_6 were a server, then x_6 is cooking we can infer that for all x_6, x_6 will cook if and only if x_6 is a server. Finally, from the fact that for all x_6, x_6 will cook if and only if x_6 is a server, and that for all x_6, x_6 is not a server we can infer that for all x_6, x_6 will not cook, which contradicts that There is at least one x_6 for which x_6 will cook. Therefore, the answer is no.