Consider the following premises. For all x_10, if x_10 were a soldier, then x_10 is taking a plane. There is at least one x_10 for which x_10 will not take a plane. For all x_10, if x_10 drives a car, then x_10 is a soldier. For all x_10, x_10 will drive a car or x_10 is a musician. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, x_10 is not a musician.
 From the fact that for all x_10, if x_10 were a soldier, then x_10 is taking a plane, and that there is at least one x_10 for which x_10 will not take a plane we can infer that there is at least one x_10 for which x_10 is not a soldier via existential modus tollens. From the fact that for all x_10, if x_10 drives a car, then x_10 is a soldier, and that there is at least one x_10 for which x_10 is not a soldier we can infer that there is at least one x_10 for which x_10 will not drive a car via existential modus tollens. Finally, from the fact that for all x_10, x_10 will drive a car or x_10 is a musician, and that there is at least one x_10 for which x_10 will not drive a car we can infer that there is at least one x_10 for which x_10 is a musician via existential disjunctive syllogism, which contradicts that For all x_10, x_10 is not a musician. Therefore, the answer is no.