Consider the following premises. For all x_16, x_16 will not play squash. There is at least one x_16 for which x_16 is a bartender if and only if x_16 will play squash. For all x_16, x_16 is a bartender or x_16 will go running. Can we infer the following from them? If we can, name the inference rule being used: For all x_16, neither x_16 will go running nor x_16 is happy.
That contradicts the premises. Therefore the answer is no.