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: It is sunny. James is not a musician. James is a musician if and only if Elisabeth is playing a game.
It is sunny and James is not a musician can be inferred via the conjunction rule. James is not a musician and it is sunny can be inferred via the conjunction rule. If James were a musician, then Elisabeth is playing a game can be inferred via the biconditional elimination rule. If Elisabeth plays a game, then James is a musician can be inferred via the biconditional elimination rule. Elisabeth is not playing a game can be inferred via the biconditional elimination rule.