Consider the following premises. For all x_7, if x_7 drives a car, then x_7 is working. For all x_7, x_7 will not work. There is at least one x_7 for which x_7 is not sad or x_7 will go running. For all x_7, x_7 is sad or x_7 will drive a car. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_7 for which x_7 will go running.
 From the fact that for all x_7, x_7 is sad or x_7 will drive a car, and that there is at least one x_7 for which x_7 is not sad or x_7 will go running we can infer that there is at least one x_7 for which x_7 will drive a car or x_7 will go running via existential resolution. From the fact that for all x_7, if x_7 drives a car, then x_7 is working, and that for all x_7, x_7 will not work we can infer that for all x_7, x_7 will not drive a car via universal modus tollens. Finally, from the fact that there is at least one x_7 for which x_7 will drive a car or x_7 will go running, and that for all x_7, x_7 will not drive a car we can infer that there is at least one x_7 for which x_7 will go running via existential disjunctive syllogism. Therefore, the answer is yes.