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_7, x_7 is not poor. For all x_7, x_7 is poor or x_7 will take a plane. There is at least one x_7 for which if x_7 were happy, then x_7 is playing a game. For all x_7, if x_7 takes a plane, then x_7 is happy.
There is at least one x_7 for which if x_7 takes a plane, then x_7 is playing a game can be inferred via the existential transitivity rule. For all x_7, x_7 will take a plane can be inferred via the universal disjunctive syllogism rule.