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_1 for which if x_1 were a poet, then x_1 is climbing a mountain. For all x_1, if x_1 climbs a mountain, then x_1 is a poet. For all x_1, if x_1 climbs a mountain, then x_1 is a poet.
There is at least one x_1 for which x_1 is a poet if and only if x_1 will climb a mountain. There is at least one x_1 for which x_1 is a poet if and only if x_1 will climb a mountain. There is at least one x_1 for which x_1 will climb a mountain if and only if x_1 is a poet. There is at least one x_1 for which x_1 will climb a mountain if and only if x_1 is a poet.