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_15, x_15 will read a book or x_15 will listen to a song. There is at least one x_15 for which if x_15 drives a car, then x_15 is an astronaut. For all x_15, if x_15 were a bartender, then x_15 is an astronaut. For all x_15, x_15 will not read a book or x_15 is a bartender. For all x_15, x_15 will drink water if and only if x_15 will listen to a song. For all x_15, if x_15 drinks water, then x_15 is driving a car.
There is at least one x_15 for which if x_15 drinks water, then x_15 is an astronaut can be inferred via the existential transitivity rule. For all x_15, x_15 will listen to a song or x_15 is a bartender can be inferred via the universal resolution rule. For all x_15, if x_15 drinks water, then x_15 is listening to a song can be inferred via the universal biconditional elimination rule. For all x_15, if x_15 listens to a song, then x_15 is drinking water can be inferred via the universal biconditional elimination rule.