What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all x_8, if x_8 cooks, then x_8 is listening to a song. There is at least one x_8 for which x_8 will work or x_8 will not listen to a song. For all x_8, if x_8 works, then x_8 is a soldier.
There is at least one x_8 for which if x_8 listens to a song, then x_8 is working can be inferred via the existential rewriting rule.