Consider the following premises. Elisabeth is making tea or John is poor. If John were poor, then Elisabeth is playing a game. For all x_5, if x_5 makes tea, then x_5 is playing a game. Can we infer the following from them? Elisabeth is not playing a game.
 From the fact that for all x_5, if x_5 makes tea, then x_5 is playing a game we can infer that if Elisabeth makes tea, then Elisabeth is playing a game. Finally, from the fact that if Elisabeth makes tea, then Elisabeth is playing a game, that if John were poor, then Elisabeth is playing a game, and that Elisabeth is making tea or John is poor we can infer that Elisabeth is playing a game, which contradicts that Elisabeth is not playing a game. Therefore, the answer is no.