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_10, if x_10 sleeps, then x_10 is bored. For all x_10, if x_10 were bored, then x_10 is driving a car. For all x_10, if x_10 drives a car, then x_10 is playing squash. There is at least one x_10 for which x_10 will not sleep. For all x_10, if x_10 plays squash, then x_10 is sleeping.
There is at least one x_10 for which x_10 will not play squash can be inferred via the existential modus tollens rule. For all x_10, if x_10 sleeps, then x_10 is driving a car can be inferred via the universal transitivity rule. For all x_10, if x_10 were bored, then x_10 is playing squash can be inferred via the universal transitivity rule. For all x_10, if x_10 drives a car, then x_10 is sleeping can be inferred via the universal transitivity rule. For all x_10, if x_10 plays squash, then x_10 is bored can be inferred via the universal transitivity rule.