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 x_17, if x_17 plays squash, then x_17 is drinking water. For all x_17, x_17 will not drink water. For all x_17, x_17 is a poet if and only if x_17 will work. There is at least one x_17 for which if x_17 were a police officer, then x_17 is working. For all x_17, if x_17 were a poet, then x_17 is playing squash.
For all x_17, x_17 will not play squash can be inferred via the universal modus tollens rule. For all x_17, if x_17 were a poet, then x_17 is drinking water can be inferred via the universal transitivity rule. For all x_17, if x_17 were a poet, then x_17 is working can be inferred via the universal biconditional elimination rule. For all x_17, if x_17 works, then x_17 is a poet can be inferred via the universal biconditional elimination rule.