Consider the following premises. For all x_1, if x_1 plays squash, then x_1 is a scientist. For all x_1, x_1 is not a scientist. For all x_1, x_1 will play squash or x_1 will drink water. Can we infer the following from them? If we can, name the inference rule being used: For all x_1, x_1 will drink water.
 From the fact that for all x_1, if x_1 plays squash, then x_1 is a scientist, and that for all x_1, x_1 is not a scientist we can infer that for all x_1, x_1 will not play squash via universal modus tollens. Finally, from the fact that for all x_1, x_1 will play squash or x_1 will drink water, and that for all x_1, x_1 will not play squash we can infer that for all x_1, x_1 will drink water via universal disjunctive syllogism. Therefore, the answer is yes.