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 drinks water, then z is running. For all z, if z makes tea, then z is drinking water. There is at least one z for which if z goes running, then z is a writer. For all z, if z were a writer, then z is making tea.
For all z, if z makes tea, then z is running can be inferred via the universal transitivity rule. For all z, if z were a writer, then z is drinking water can be inferred via the universal transitivity rule. There is at least one z for which if z goes running, then z is making tea can be inferred via the existential transitivity rule. There is at least one z for which if z drinks water, then z is a writer can be inferred via the existential transitivity rule.