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: If Patricia were bored, then Charles is a mechanic. Charles is a mechanic if and only if Thomas is running. David is playing a game. If Thomas goes running, then David is not playing a game.
Thomas is not running can be inferred via the modus tollens rule. If Charles were a mechanic, then Thomas is running can be inferred via the biconditional elimination rule. If Thomas goes running, then Charles is a mechanic can be inferred via the biconditional elimination rule.