Consider the following premises. For all x_18, x_18 is excited. For all x_18, if x_18 were excited, then x_18 is not working. For all x_18, x_18 is a carpenter. There is at least one x_18 for which if x_18 drives a car, then x_18 is a janitor. For all x_18, x_18 will work. Can we infer the following from them? If we can, name the inference rule being used: For all x_18, either x_18 is a carpenter or x_18 is a janitor are not true.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.