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_1, if x_1 were bored, then x_1 is sleeping. For all x_1, if x_1 sleeps, then x_1 is a police officer. There is at least one x_1 for which if x_1 were a police officer, then x_1 is bored. For all x_1, x_1 is not bored.
There is at least one x_1 for which x_1 is not a police officer can be inferred via the existential modus tollens rule. For all x_1, if x_1 were bored, then x_1 is a police officer can be inferred via the universal transitivity rule. There is at least one x_1 for which if x_1 were a police officer, then x_1 is sleeping can be inferred via the existential transitivity rule. There is at least one x_1 for which if x_1 sleeps, then x_1 is bored can be inferred via the existential transitivity rule.