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_5, if x_5 were a nurse, then x_5 is an artist. There is at least one x_5 for which x_5 will play a game. For all x_5, x_5 is a nurse. For all x_5, if x_5 were an artist, then x_5 is a carpenter.
For all x_5, x_5 is an artist can be inferred via the universal modus ponens rule. For all x_5, if x_5 were a nurse, then x_5 is a carpenter can be inferred via the universal transitivity rule. There is at least one x_5 for which x_5 will play a game and x_5 is a nurse can be inferred via the existential conjunction rule. Some nurses will play a game can be inferred via the existential conjunction rule.