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 a carpenter. For all x_7, x_7 will drink water or x_7 is not a scientist. For all x_7, if x_7 were a carpenter, then x_7 is a doctor.
There is at least one x_7 for which if x_7 drinks water, then x_7 is a doctor can be inferred via the existential transitivity rule. For all x_7, if x_7 were a scientist, then x_7 is drinking water can be inferred via the universal rewriting rule.