Consider the following premises. For all x_9, x_9 is a nurse and x_9 is a bartender. For all x_9, x_9 is not a writer. For all x_9, x_9 is a writer or x_9 will play a game. Can we infer the following from them? If we can, name the inference rule being used: Michael is not playing a game.
That contradicts the premises. Therefore the answer is no.