What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_5, if x_5 writes a letter, then x_5 is listening to a song. There is at least one x_5 for which if x_5 were a soldier, then x_5 is writing a letter. For all x_5, if x_5 listens to a song, then x_5 is writing a letter. For all x_5, x_5 will not listen to a song.
For all x_5, x_5 will not write a letter. There is at least one x_5 for which if x_5 were a soldier, then x_5 is listening to a song. For all x_5, x_5 will write a letter if and only if x_5 will listen to a song. For all x_5, x_5 will listen to a song if and only if x_5 will write a letter.