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_16, x_16 will sleep if and only if x_16 will drink water. There is at least one x_16 for which if x_16 cooks, then x_16 is drinking water. For all x_16, if x_16 were bored, then x_16 is cooking. For all x_16, if x_16 were a writer, then x_16 is bored. For all x_16, x_16 is a writer.
For all x_16, x_16 is bored can be inferred via the universal modus ponens rule. For all x_16, if x_16 were a writer, then x_16 is cooking can be inferred via the universal transitivity rule. There is at least one x_16 for which if x_16 were bored, then x_16 is drinking water can be inferred via the existential transitivity rule. For all x_16, if x_16 sleeps, then x_16 is drinking water can be inferred via the universal biconditional elimination rule. For all x_16, if x_16 drinks water, then x_16 is sleeping can be inferred via the universal biconditional elimination rule.