Consider the following premises. There is at least one x_5 for which x_5 is fast. For all x_5, x_5 is rich. For all x_5, x_5 is not rich. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, either x_5 is sad or x_5 is fast are not true.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.