Consider the following premises. For all x_6, x_6 will drink water or x_6 is not an artist. For all x_6, x_6 will not drink water. There is at least one x_6 for which if x_6 were a nurse, then x_6 is an artist. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, x_6 is a nurse.
 From the fact that for all x_6, x_6 will drink water or x_6 is not an artist we can infer that for all x_6, if x_6 were an artist, then x_6 is drinking water via universal rewriting. From the fact that for all x_6, if x_6 were an artist, then x_6 is drinking water, and that for all x_6, x_6 will not drink water we can infer that for all x_6, x_6 is not an artist via universal modus tollens. Finally, from the fact that there is at least one x_6 for which if x_6 were a nurse, then x_6 is an artist, and that for all x_6, x_6 is not an artist we can infer that there is at least one x_6 for which x_6 is not a nurse via existential modus tollens, which contradicts that For all x_6, x_6 is a nurse. Therefore, the answer is no.