Consider the following premises. For all x_5, x_5 is bored and x_5 will play tennis. There is at least one x_5 for which x_5 is not bored or x_5 is a poet. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_5 for which x_5 will drink water or x_5 is a poet.
 From the fact that for all x_5, x_5 is bored and x_5 will play tennis we can infer that for all x_5, x_5 is bored via universal simplification. From the fact that for all x_5, x_5 is bored we can infer that for all x_5, x_5 is bored or x_5 will drink water via universal addition. Finally, from the fact that for all x_5, x_5 is bored or x_5 will drink water, and that there is at least one x_5 for which x_5 is not bored or x_5 is a poet we can infer that there is at least one x_5 for which x_5 will drink water or x_5 is a poet via existential resolution. Therefore, the answer is yes.