What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x_6, if x_6 were rich, then x_6 is an astronaut. For all x_6, x_6 will climb a mountain if and only if x_6 is an astronaut. There is at least one x_6 for which x_6 will not climb a mountain.
For all x_6, if x_6 climbs a mountain, then x_6 is an astronaut. For all x_6, if x_6 were an astronaut, then x_6 is climbing a mountain. There is at least one x_6 for which x_6 is not an astronaut.