Consider the following premises. For all x_7, x_7 is poor if and only if x_7 is an artist. For all x_7, x_7 will go running. There is at least one x_7 for which if x_7 drives a car, then x_7 is an artist. For all x_7, x_7 will not go running or x_7 is poor. 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 is an artist.
 From the fact that for all x_7, x_7 is poor if and only if x_7 is an artist we can infer that for all x_7, if x_7 were poor, then x_7 is an artist via universal biconditional elimination. From the fact that for all x_7, x_7 will go running we can infer that for all x_7, x_7 will go running or x_7 will drive a car via universal addition. From the fact that for all x_7, x_7 will go running or x_7 will drive a car, and that for all x_7, x_7 will not go running or x_7 is poor we can infer that for all x_7, x_7 will drive a car or x_7 is poor via universal resolution. Finally, from the fact that there is at least one x_7 for which if x_7 drives a car, then x_7 is an artist, that for all x_7, if x_7 were poor, then x_7 is an artist, and that for all x_7, x_7 will drive a car or x_7 is poor we can infer that there is at least one x_7 for which x_7 is an artist via existential disjunction elimination. Therefore, the answer is yes.