Consider the following premises. James is a nurse or James is an office clerk. James is not a nurse or it is snowing. If it snows, then Michael is a mechanic. If James were an office clerk, then Michael is a mechanic. Jessica is playing a game. Can we infer the following from them? If we can, name the inference rule being used: Jessica is not playing a game.
That contradicts the premises. Therefore the answer is no.