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 goes running, then z is curious. For all z, if z were curious, then z is taking a plane. For all z, z will go running if and only if z will take a plane.
For all z, if z goes running, then z is taking a plane can be inferred via the universal transitivity rule. For all z, if z goes running, then z is taking a plane can be inferred via the universal biconditional elimination rule. For all z, if z takes a plane, then z is running can be inferred via the universal biconditional elimination rule.