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: There is at least one x_11 for which if x_11 were an electrician, then x_11 is a carpenter. For all x_11, if x_11 works, then x_11 is a carpenter. For all x_11, x_11 is a carpenter if and only if x_11 will play a game. For all x_11, x_11 is an electrician or x_11 will work.
There is at least one x_11 for which x_11 is a carpenter can be inferred via the existential disjunction elimination rule. For all x_11, if x_11 were a carpenter, then x_11 is playing a game can be inferred via the universal biconditional elimination rule. For all x_11, if x_11 plays a game, then x_11 is a carpenter can be inferred via the universal biconditional elimination rule.