Consider the following premises. There is at least one x_10 for which x_10 will cook. For all x_10, x_10 will climb a mountain. Can we infer the following from them? For all x_10, neither x_10 will cook nor x_10 will drink water.
 From the fact that there is at least one x_10 for which x_10 will cook, and that for all x_10, x_10 will climb a mountain we can infer that there is at least one x_10 for which x_10 will cook and x_10 will climb a mountain. From the fact that there is at least one x_10 for which x_10 will cook and x_10 will climb a mountain we can infer that there is at least one x_10 for which x_10 will cook. Finally, from the fact that there is at least one x_10 for which x_10 will cook we can infer that there is at least one x_10 for which x_10 will cook or x_10 will drink water, which contradicts that For all x_10, neither x_10 will cook nor x_10 will drink water. Therefore, the answer is no.