Consider the following premises. There is at least one x_5 for which if x_5 were a carpenter, then x_5 is a lawyer. For all x_5, x_5 will drive a car. For all x_5, x_5 will not drive a car. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 is not a lawyer.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.