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, z is not a cashier. For all z, if z drinks water, then z is running. For all z, if z were a scientist, then z is drinking water. For all z, if z goes running, then z is a scientist. For all z, if z goes running, then z is a cashier.
For all z, z will not go running can be inferred via the universal modus tollens rule. For all z, if z drinks water, then z is a scientist can be inferred via the universal transitivity rule. For all z, if z drinks water, then z is a cashier can be inferred via the universal transitivity rule. For all z, if z were a scientist, then z is running can be inferred via the universal transitivity rule. For all z, if z goes running, then z is drinking water can be inferred via the universal transitivity rule.