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, x is a server if and only if x will go running. For all x, x is a server if and only if x will make tea. There is at least one x for which x will not make tea.
For all x, if x were a server, then x is running can be inferred via the universal biconditional elimination rule. For all x, if x were a server, then x is making tea can be inferred via the universal biconditional elimination rule. For all x, if x goes running, then x is a server can be inferred via the universal biconditional elimination rule. For all x, if x makes tea, then x is a server can be inferred via the universal biconditional elimination rule. There is at least one x for which x is not a server can be inferred via the existential biconditional elimination rule.