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: There is at least one x_5 for which if x_5 works, then x_5 is listening to a song. For all x_5, x_5 will listen to a song or x_5 is not an astronaut. For all x_5, x_5 will work.
There is at least one x_5 for which x_5 will listen to a song can be inferred via the existential modus ponens rule. For all x_5, if x_5 were an astronaut, then x_5 is listening to a song can be inferred via the universal rewriting rule.