Consider the following premises. There is at least one x_9 for which x_9 is a sailor if and only if x_9 will listen to a song. For all x_9, x_9 will listen to a song if and only if x_9 is a nurse. Can we infer the following from them? For all x_9, the fact that x_9 were a nurse does not imply that x_9 is a sailor.
That contradicts the premises. Therefore the answer is no.