Consider the following premises. Elisabeth is a scientist. If Michael plays a game, then Elisabeth is not a scientist. For all x_10, if x_10 were bored, then x_10 is playing a game. Can we infer the following from them? Michael is not bored.
 From the fact that for all x_10, if x_10 were bored, then x_10 is playing a game we can infer that if Michael were bored, then Michael is playing a game. From the fact that if Michael plays a game, then Elisabeth is not a scientist, and that Elisabeth is a scientist we can infer that Michael is not playing a game. Finally, from the fact that if Michael were bored, then Michael is playing a game, and that Michael is not playing a game we can infer that Michael is not bored. Therefore, the answer is yes.