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: There is at least one x_12 for which x_12 is a carpenter or x_12 will not sleep. For all x_12, if x_12 drinks water, then x_12 is sleeping. For all x_12, if x_12 were a carpenter, then x_12 is drinking water. For all x_12, if x_12 drinks water, then x_12 is a carpenter.
For all x_12, if x_12 were a carpenter, then x_12 is sleeping can be inferred via the universal transitivity rule. There is at least one x_12 for which if x_12 sleeps, then x_12 is a carpenter can be inferred via the existential rewriting rule. For all x_12, x_12 is a carpenter if and only if x_12 will drink water can be inferred via the universal biconditional introduction rule. For all x_12, x_12 will drink water if and only if x_12 is a carpenter can be inferred via the universal biconditional introduction rule.