Consider the following premises. There is at least one x_6 for which x_6 will not go running. For all x_6, if x_6 were poor, then x_6 is running. For all x_6, x_6 is poor or x_6 will not drink water. Can we infer the following from them? If we can, name the inference rule being used: There is at least one x_6 for which x_6 will not drink water.
 From the fact that for all x_6, if x_6 were poor, then x_6 is running, and that there is at least one x_6 for which x_6 will not go running we can infer that there is at least one x_6 for which x_6 is not poor via existential modus tollens. From the fact that for all x_6, x_6 is poor or x_6 will not drink water we can infer that for all x_6, if x_6 drinks water, then x_6 is poor via universal rewriting. Finally, from the fact that for all x_6, if x_6 drinks water, then x_6 is poor, and that there is at least one x_6 for which x_6 is not poor we can infer that there is at least one x_6 for which x_6 will not drink water via existential modus tollens. Therefore, the answer is yes.