Consider the following premises. There is at least one x_6 for which x_6 will drink water. For all x_6, x_6 will write a letter. For all x_6, x_6 will cook. For all x_6, if x_6 cooks, then x_6 is running. Can we infer the following from them? There is at least one x_6 for which x_6 will write a letter and x_6 will drink water.
 From the fact that for all x_6, if x_6 cooks, then x_6 is running, and that for all x_6, x_6 will cook we can infer that for all x_6, x_6 will go running. From the fact that for all x_6, x_6 will write a letter, and that for all x_6, x_6 will go running we can infer that for all x_6, x_6 will write a letter and x_6 will go running. From the fact that for all x_6, x_6 will write a letter and x_6 will go running we can infer that for all x_6, x_6 will write a letter. Finally, from the fact that for all x_6, x_6 will write a letter, and that there is at least one x_6 for which x_6 will drink water we can infer that there is at least one x_6 for which x_6 will write a letter and x_6 will drink water. Therefore, the answer is yes.