Consider the following premises. For all x_5, x_5 is not a mechanic. For all x_5, x_5 is a mechanic or x_5 is a carpenter. For all x_5, x_5 will go running. For all x_5, if x_5 goes running, then x_5 is drinking water. Can we infer the following from them? There is at least one x_5 for which either x_5 will drink water or x_5 is a carpenter are not true.
 From the fact that for all x_5, if x_5 goes running, then x_5 is drinking water, and that for all x_5, x_5 will go running we can infer that for all x_5, x_5 will drink water. From the fact that for all x_5, x_5 is a mechanic or x_5 is a carpenter, and that for all x_5, x_5 is not a mechanic we can infer that for all x_5, x_5 is a carpenter. Finally, from the fact that for all x_5, x_5 will drink water, and that for all x_5, x_5 is a carpenter we can infer that for all x_5, x_5 will drink water and x_5 is a carpenter, which contradicts that There is at least one x_5 for which either x_5 will drink water or x_5 is a carpenter are not true. Therefore, the answer is no.