Consider the following premises. If Michael were an artist, then Patricia is playing a game. If Patricia were a taxi driver, then Thomas is sleeping. If Thomas sleeps, then Michael is an artist. For all x_17, if x_17 plays a game, then x_17 is a taxi driver. Can we infer the following from them? If we can, name the inference rule being used: The fact that Patricia plays a game does not imply that Patricia is a taxi driver.
That contradicts the premises. Therefore the answer is no.