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_17, if x_17 listens to a song, then x_17 is an astronaut. For all x_17, if x_17 were an astronaut, then x_17 is driving a car. For all x_17, if x_17 works, then x_17 is driving a car. For all x_17, x_17 is poor. For all x_17, if x_17 were an astronaut, then x_17 is not poor. There is at least one x_17 for which if x_17 drives a car, then x_17 is listening to a song.
For all x_17, x_17 is not an astronaut can be inferred via the universal modus tollens rule. For all x_17, if x_17 listens to a song, then x_17 is driving a car can be inferred via the universal transitivity rule. There is at least one x_17 for which if x_17 drives a car, then x_17 is an astronaut can be inferred via the existential transitivity rule. There is at least one x_17 for which if x_17 were an astronaut, then x_17 is listening to a song can be inferred via the existential transitivity rule. There is at least one x_17 for which if x_17 works, then x_17 is listening to a song can be inferred via the existential transitivity rule.