What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_9, if x_9 were a carpenter, then x_9 is curious. For all x_9, if x_9 were curious, then x_9 is a carpenter. For all x_9, x_9 is curious or x_9 is an astronaut. For all x_9, x_9 is an astronaut if and only if x_9 is a carpenter.
For all x_9, x_9 is a carpenter if and only if x_9 is curious. For all x_9, x_9 is curious if and only if x_9 is a carpenter. For all x_9, if x_9 were an astronaut, then x_9 is a carpenter. For all x_9, if x_9 were a carpenter, then x_9 is an astronaut.