Consider the following premises. There is at least one x_4 for which if x_4 were a nurse, then x_4 is playing a game. For all x_4, if x_4 plays squash, then x_4 is a nurse. For all x_4, if x_4 plays a game, then x_4 is playing squash. Can we infer the following from them? If we can, name the inference rule being used: For all x_4, the fact that x_4 plays squash does not imply that x_4 is playing a game.
That contradicts the premises. Therefore the answer is no.