Consider the following premises. For all x_9, if x_9 were an office clerk, then x_9 is excited. For all x_9, if x_9 were a nurse, then x_9 is an office clerk. There is at least one x_9 for which if x_9 were excited, then x_9 is a scientist. For all x_9, if x_9 were a scientist, then x_9 is a nurse. Can we infer the following from them? If we can, name the inference rule being used: For all x_9, the fact that x_9 were a nurse does not imply that x_9 is an office clerk.
That contradicts the premises. Therefore the answer is no.