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: John is cooking or Karen is not a politician. If it is cold, then John is cooking. If Karen plays a game, then it is cold. Karen is playing a game.
It is cold can be inferred via the modus ponens rule. If Karen plays a game, then John is cooking can be inferred via the transitivity rule. If Karen were a politician, then John is cooking can be inferred via the rewriting rule.