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_5, x_5 is not a server. There is at least one x_5 for which x_5 is a server if and only if x_5 will work. For all x_5, x_5 will work if and only if x_5 is a politician.
For all x_5, if x_5 works, then x_5 is a politician can be inferred via the universal biconditional elimination rule. There is at least one x_5 for which if x_5 were a server, then x_5 is working can be inferred via the existential biconditional elimination rule. For all x_5, if x_5 were a politician, then x_5 is working can be inferred via the universal biconditional elimination rule. There is at least one x_5 for which if x_5 works, then x_5 is a server can be inferred via the existential biconditional elimination rule. There is at least one x_5 for which x_5 will not work can be inferred via the existential biconditional elimination rule.