Consider the following premises. For all x_9, x_9 is a soldier if and only if x_9 will take a plane. There is at least one x_9 for which x_9 will take a plane if and only if x_9 is a soldier. Can we infer the following from them? For all x_9, if is not true that x_9 is a soldier if and only if x_9 will take a plane.
That contradicts the premises. Therefore the answer is no.