Consider the following premises. For all x_2, x_2 is not a sailor or x_2 is rich. There is at least one x_2 for which x_2 will listen to a song or x_2 is a sailor. For all x_2, x_2 will not listen to a song or x_2 will play tennis. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_2 for which x_2 will play tennis or x_2 is rich.
 From the fact that there is at least one x_2 for which x_2 will listen to a song or x_2 is a sailor, and that for all x_2, x_2 will not listen to a song or x_2 will play tennis we can infer that there is at least one x_2 for which x_2 is a sailor or x_2 will play tennis via existential resolution. Finally, from the fact that there is at least one x_2 for which x_2 is a sailor or x_2 will play tennis, and that for all x_2, x_2 is not a sailor or x_2 is rich we can infer that there is at least one x_2 for which x_2 will play tennis or x_2 is rich via existential resolution. Therefore, the answer is yes.