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 z for which z is poor if and only if z is happy. For all z, if z were happy, then z is a scientist.
There is at least one z for which if z were poor, then z is happy. There is at least one z for which if z were happy, then z is poor.