Consider the following premises. For all x_8, x_8 will listen to a song or x_8 will make tea. There is at least one x_8 for which if x_8 makes tea, then x_8 is driving a car. For all x_8, if x_8 listens to a song, then x_8 is driving a car. For all x_8, x_8 will drive a car if and only if x_8 will listen to a song. Can we infer the following from them? If we can, name the inference rule being used: For all x_8, x_8 will not drive a car.
 From the fact that for all x_8, x_8 will drive a car if and only if x_8 will listen to a song we can infer that for all x_8, if x_8 drives a car, then x_8 is listening to a song via universal biconditional elimination. From the fact that for all x_8, if x_8 drives a car, then x_8 is listening to a song, and that for all x_8, if x_8 listens to a song, then x_8 is driving a car we can infer that for all x_8, x_8 will drive a car if and only if x_8 will listen to a song via universal biconditional introduction. From the fact that for all x_8, x_8 will drive a car if and only if x_8 will listen to a song we can infer that for all x_8, if x_8 listens to a song, then x_8 is driving a car via universal biconditional elimination. Finally, from the fact that for all x_8, if x_8 listens to a song, then x_8 is driving a car, that there is at least one x_8 for which if x_8 makes tea, then x_8 is driving a car, and that for all x_8, x_8 will listen to a song or x_8 will make tea we can infer that there is at least one x_8 for which x_8 will drive a car via existential disjunction elimination, which contradicts that For all x_8, x_8 will not drive a car. Therefore, the answer is no.