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_5, if x_5 works, then x_5 is a soldier. For all x_5, if x_5 were a soldier, then x_5 is reading a book. There is at least one x_5 for which if x_5 drinks water, then x_5 is taking a plane. For all x_5, if x_5 takes a plane, then x_5 is working.
For all x_5, if x_5 works, then x_5 is reading a book can be inferred via the universal transitivity rule. For all x_5, if x_5 takes a plane, then x_5 is a soldier can be inferred via the universal transitivity rule. There is at least one x_5 for which if x_5 drinks water, then x_5 is working can be inferred via the existential transitivity rule.