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_7, x_7 will cook if and only if x_7 will drink water. For all x_7, x_7 will sleep if and only if x_7 will cook. There is at least one x_7 for which x_7 will drink water or x_7 will climb a mountain. For all x_7, x_7 will not sleep.
For all x_7, if x_7 cooks, then x_7 is drinking water can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 sleeps, then x_7 is cooking can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 drinks water, then x_7 is cooking can be inferred via the universal biconditional elimination rule. For all x_7, if x_7 cooks, then x_7 is sleeping can be inferred via the universal biconditional elimination rule. For all x_7, x_7 will not cook can be inferred via the universal biconditional elimination rule.