Consider the following premises. For all x_4, x_4 is not a cashier. For all x_4, if x_4 cooks, then x_4 is a cashier. There is at least one x_4 for which x_4 will cook. Can we infer the following from them? If we can, name the inference rule being used: For all x_4, x_4 will not take a plane.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.