Consider the following premises. There is at least one x_25 for which if x_25 works, then x_25 is happy. For all x_25, x_25 is not an office clerk. For all x_25, if x_25 were fast, then x_25 is not climbing a mountain. For all x_25, x_25 will work. For all x_25, x_25 is happy if and only if x_25 is an office clerk. Can we infer the following from them? If we can, name the inference rule being used: For all x_25, x_25 is fast.
The premises are contradictory and we can infer anything from them. Therefore, the answer is yes.