Consider the following premises. For all x_6, if x_6 were an artist, then x_6 is playing a game. For all x_6, x_6 will not play a game or x_6 is a nurse. There is at least one x_6 for which x_6 is an artist. Can we infer the following from them? If we can, name the inference rule being used: For all x_6, neither x_6 will sleep nor x_6 is a nurse.
That contradicts the premises. Therefore the answer is no.