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_8, x_8 will sleep. For all x_8, x_8 will go running. For all x_8, x_8 is a scientist if and only if x_8 will go running.
For all x_8, x_8 will sleep and x_8 will go running can be inferred via the universal conjunction rule. For all x_8, x_8 will go running and x_8 will sleep can be inferred via the universal conjunction rule. For all x_8, if x_8 were a scientist, then x_8 is running can be inferred via the universal biconditional elimination rule. For all x_8, if x_8 goes running, then x_8 is a scientist can be inferred via the universal biconditional elimination rule.