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 cashier, then z is climbing a mountain. For all z, if z climbs a mountain, then z is sleeping. For all z, z is a cashier or z will not sleep.
For all z, if z were a cashier, then z is sleeping can be inferred via the universal transitivity rule. For all z, if z sleeps, then z is a cashier can be inferred via the universal rewriting rule.