Consider the following premises. For all x, x will cook if and only if x will make tea. For all x, x will cook. For all x, x will not make tea or x is a cashier. Can we infer the following from them? There is at least one x for which neither x is bored nor x is a cashier.
 From the fact that for all x, x will cook if and only if x will make tea we can infer that for all x, if x cooks, then x is making tea. From the fact that for all x, if x cooks, then x is making tea, and that for all x, x will cook we can infer that for all x, x will make tea. From the fact that for all x, x will make tea we can infer that for all x, x will make tea or x is bored. Finally, from the fact that for all x, x will make tea or x is bored, and that for all x, x will not make tea or x is a cashier we can infer that for all x, x is bored or x is a cashier, which contradicts that There is at least one x for which neither x is bored nor x is a cashier. Therefore, the answer is no.