Consider the following premises. For all x_5, x_5 is a sailor or x_5 is not a soldier. For all x_5, if x_5 listens to a song, then x_5 is a soldier. For all x_5, if x_5 were a sailor, then x_5 is listening to a song. Can we infer the following from them? If we can, name the inference rule being used: For all x_5, x_5 is a sailor or x_5 is not a soldier.
That is one of the premises. Therefore, the answer is yes.