What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all x, if x climbs a mountain, then x is a scientist. There is at least one x for which if x climbs a mountain, then x is a scientist. For all x, if x were a scientist, then x is climbing a mountain.
For all x, x will climb a mountain if and only if x is a scientist. For all x, x is a scientist if and only if x will climb a mountain. There is at least one x for which x will climb a mountain if and only if x is a scientist. There is at least one x for which x is a scientist if and only if x will climb a mountain.