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 rich if and only if z will cook. For all z, if z cooks, then z is rich. For all z, z will cook if and only if z is rich.
For all z, if z cooks, then z is rich. There is at least one z for which if z were rich, then z is cooking. For all z, if z were rich, then z is cooking. There is at least one z for which if z cooks, then z is rich.