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 reading a book. For all z, if z writes a letter, then z is drinking water. For all z, z will not read a book. For all z, if z makes tea, then z is writing a letter. For all z, if z drinks water, then z is making tea.
For all z, z will not drink water can be inferred via the universal modus tollens rule. For all z, if z writes a letter, then z is reading a book can be inferred via the universal transitivity rule. For all z, if z writes a letter, then z is making tea can be inferred via the universal transitivity rule. For all z, if z makes tea, then z is drinking water can be inferred via the universal transitivity rule. For all z, if z drinks water, then z is writing a letter can be inferred via the universal transitivity rule.