What can be inferred from the following premises in a single inference step (ignoring inferences that add new predicates or constants)? Name the inference rule being used: For all z, if z were a carpenter, then z is making tea. For all z, if z makes tea, then z is a police officer. There is at least one z for which z is a carpenter or z is not a police officer.
For all z, if z were a carpenter, then z is a police officer can be inferred via the universal transitivity rule. There is at least one z for which if z were a police officer, then z is a carpenter can be inferred via the existential rewriting rule.