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_13, if x_13 were a carpenter, then x_13 is a soldier. For all x_13, if x_13 were a soldier, then x_13 is making tea. For all x_13, x_13 will not make tea. There is at least one x_13 for which if x_13 were a server, then x_13 is a carpenter. For all x_13, if x_13 makes tea, then x_13 is a server.
For all x_13, x_13 is not a soldier can be inferred via the universal modus tollens rule. For all x_13, if x_13 were a carpenter, then x_13 is making tea can be inferred via the universal transitivity rule. For all x_13, if x_13 were a soldier, then x_13 is a server can be inferred via the universal transitivity rule. There is at least one x_13 for which if x_13 were a server, then x_13 is a soldier can be inferred via the existential transitivity rule. There is at least one x_13 for which if x_13 makes tea, then x_13 is a carpenter can be inferred via the existential transitivity rule.