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_7 for which if x_7 drinks water, then x_7 is sleeping. For all x_7, if x_7 were a bartender, then x_7 is a soldier. For all x_7, if x_7 were a soldier, then x_7 is drinking water. For all x_7, if x_7 sleeps, then x_7 is a bartender.
For all x_7, if x_7 were a bartender, then x_7 is drinking water can be inferred via the universal transitivity rule. For all x_7, if x_7 sleeps, then x_7 is a soldier can be inferred via the universal transitivity rule. There is at least one x_7 for which if x_7 drinks water, then x_7 is a bartender can be inferred via the existential transitivity rule. There is at least one x_7 for which if x_7 were a soldier, then x_7 is sleeping can be inferred via the existential transitivity rule.