Consider the following premises. There is at least one x_7 for which x_7 will play a game or x_7 is not an artist. For all x_7, x_7 will climb a mountain or x_7 will not play a game. Can we infer the following from them? If we can, name the inference rule being used: For all x_7, the fact that x_7 were an artist does not imply that x_7 is climbing a mountain.
 From the fact that there is at least one x_7 for which x_7 will play a game or x_7 is not an artist we can infer that there is at least one x_7 for which if x_7 were an artist, then x_7 is playing a game via existential rewriting. Finally, from the fact that for all x_7, x_7 will climb a mountain or x_7 will not play a game we can infer that for all x_7, if x_7 plays a game, then x_7 is climbing a mountain via universal rewriting, which contradicts that For all x_7, the fact that x_7 were an artist does not imply that x_7 is climbing a mountain. Therefore, the answer is no.