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, x_10 is bored. For all x_10, if x_10 were sad, then x_10 is a sailor. For all x_10, x_10 is sad. There is at least one x_10 for which if x_10 were a sailor, then x_10 is a cashier.
For all x_10, x_10 is a sailor can be inferred via the universal modus ponens rule. There is at least one x_10 for which if x_10 were sad, then x_10 is a cashier can be inferred via the existential transitivity rule. For all x_10, x_10 is bored and x_10 is sad can be inferred via the universal conjunction rule. For all x_10, x_10 is sad and x_10 is bored can be inferred via the universal conjunction rule.