Consider the following premises. There is at least one x_7 for which x_7 is curious. For all x_7, if x_7 were curious, then x_7 is excited. For all x_7, x_7 will play a game and x_7 is fast. Can we infer the following from them? If we can, name the inference rule being used: For all x_7, either x_7 will play a game or x_7 is excited are not true.
That contradicts the premises. Therefore the answer is no.