Consider the following premises. For all x_10, x_10 will not play squash or x_10 will go running. For all x_10, x_10 will drink water if and only if x_10 is a writer. For all x_10, x_10 is not a writer. For all x_10, x_10 will play squash or x_10 will drink water. Can we infer the following from them? If we can, name the inference rule being used: For all x_10, x_10 will go running or x_10 is a taxi driver.
 From the fact that for all x_10, x_10 will play squash or x_10 will drink water, and that for all x_10, x_10 will not play squash or x_10 will go running we can infer that for all x_10, x_10 will drink water or x_10 will go running via universal resolution. From the fact that for all x_10, x_10 will drink water if and only if x_10 is a writer, and that for all x_10, x_10 is not a writer we can infer that for all x_10, x_10 will not drink water via universal biconditional elimination. From the fact that for all x_10, x_10 will drink water or x_10 will go running, and that for all x_10, x_10 will not drink water we can infer that for all x_10, x_10 will go running via universal disjunctive syllogism. Finally, from the fact that for all x_10, x_10 will go running we can infer that for all x_10, x_10 will go running or x_10 is a taxi driver via universal addition. Therefore, the answer is yes.