Consider the following premises. For all x_15, x_15 is not a bartender. If William makes tea, then William is driving a car. William is listening to a song if and only if William is driving a car. If William drives a car, then William is making tea. If William listens to a song, then Elisabeth is a bartender. Can we infer the following from them? If we can, name the inference rule being used: William is not making tea.
 From the fact that if William drives a car, then William is making tea, and that if William makes tea, then William is driving a car we can infer that William is driving a car if and only if William is making tea via biconditional introduction. From the fact that for all x_15, x_15 is not a bartender we can infer that Elisabeth is not a bartender via universal instantiation. From the fact that if William listens to a song, then Elisabeth is a bartender, and that Elisabeth is not a bartender we can infer that William is not listening to a song via modus tollens. From the fact that William is listening to a song if and only if William is driving a car, and that William is not listening to a song we can infer that William is not driving a car via biconditional elimination. Finally, from the fact that William is driving a car if and only if William is making tea, and that William is not driving a car we can infer that William is not making tea via biconditional elimination. Therefore, the answer is yes.