What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? There is at least one x_3 for which if x_3 were a bartender, then x_3 is an astronaut. For all x_3, if x_3 were an astronaut, then x_3 is a cashier. For all x_3, if x_3 were a cashier, then x_3 is a bartender.
For all x_3, if x_3 were an astronaut, then x_3 is a bartender. There is at least one x_3 for which if x_3 were a bartender, then x_3 is a cashier. There is at least one x_3 for which if x_3 were a cashier, then x_3 is an astronaut.