Consider the following premises. There is at least one x_5 for which if x_5 drinks water, then x_5 is not listening to a song. For all x_5, x_5 will not make tea. For all x_5, x_5 is an astronaut or x_5 will listen to a song. For all x_5, if x_5 were an astronaut, then x_5 is making tea. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 will drink water.
 From the fact that for all x_5, if x_5 were an astronaut, then x_5 is making tea, and that for all x_5, x_5 will not make tea we can infer that for all x_5, x_5 is not an astronaut via universal modus tollens. From the fact that for all x_5, x_5 is an astronaut or x_5 will listen to a song, and that for all x_5, x_5 is not an astronaut we can infer that for all x_5, x_5 will listen to a song via universal disjunctive syllogism. Finally, from the fact that there is at least one x_5 for which if x_5 drinks water, then x_5 is not listening to a song, and that for all x_5, x_5 will listen to a song we can infer that there is at least one x_5 for which x_5 will not drink water via existential modus tollens, which contradicts that For all x_5, x_5 will drink water. Therefore, the answer is no.