What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? For all z, if z were a nurse, then z is a carpenter. For all z, if z plays tennis, then z is a nurse. For all z, if z were a nurse, then z is playing tennis. There is at least one z for which if z were a carpenter, then z is a nurse.
For all z, if z plays tennis, then z is a carpenter. There is at least one z for which if z were a carpenter, then z is playing tennis. For all z, z will play tennis if and only if z is a nurse. For all z, z is a nurse if and only if z will play tennis. There is at least one z for which z is a carpenter if and only if z is a nurse. There is at least one z for which z is a nurse if and only if z is a carpenter.