Consider the following premises. For all x_4, x_4 will not cook. For all x_4, if x_4 were fast, then x_4 is drinking water. For all x_4, if x_4 were a poet, then x_4 is drinking water. For all x_4, x_4 will cook or x_4 is fast. Can we infer the following from them? For all x_4, x_4 will drink water.
 From the fact that for all x_4, x_4 will cook or x_4 is fast, and that for all x_4, x_4 will not cook we can infer that for all x_4, x_4 is fast. From the fact that for all x_4, x_4 is fast we can infer that for all x_4, x_4 is fast or x_4 is a poet. Finally, from the fact that for all x_4, if x_4 were fast, then x_4 is drinking water, that for all x_4, if x_4 were a poet, then x_4 is drinking water, and that for all x_4, x_4 is fast or x_4 is a poet we can infer that for all x_4, x_4 will drink water. Therefore, the answer is yes.