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_8, if x_8 plays squash, then x_8 is playing a game. For all x_8, if x_8 were a soldier, then x_8 is playing squash. For all x_8, if x_8 plays a game, then x_8 is a scientist. For all x_8, if x_8 were a scientist, then x_8 is a soldier.
For all x_8, if x_8 plays squash, then x_8 is a scientist can be inferred via the universal transitivity rule. For all x_8, if x_8 were a soldier, then x_8 is playing a game can be inferred via the universal transitivity rule. For all x_8, if x_8 plays a game, then x_8 is a soldier can be inferred via the universal transitivity rule. For all x_8, if x_8 were a scientist, then x_8 is playing squash can be inferred via the universal transitivity rule.