What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all y_3, if y_3 sleeps, then y_3 is an astronaut. For all y_3, y_3 will not sleep. For all y_3, if y_3 sleeps, then y_3 is an astronaut. There is at least one y_3 for which if y_3 were an astronaut, then y_3 is sleeping.
There is at least one y_3 for which y_3 is not an astronaut. There is at least one y_3 for which y_3 is an astronaut if and only if y_3 will sleep. There is at least one y_3 for which y_3 is an astronaut if and only if y_3 will sleep. There is at least one y_3 for which y_3 will sleep if and only if y_3 is an astronaut. There is at least one y_3 for which y_3 will sleep if and only if y_3 is an astronaut.