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 it is overcast, then Joseph is playing a game. If it is cloudy, then it is overcast. If Joseph plays a game, then Elisabeth is drinking water. If Elisabeth drinks water, then it is cloudy.
If it is overcast, then Elisabeth is drinking water can be inferred via the transitivity rule. If it is cloudy, then Joseph is playing a game can be inferred via the transitivity rule. If Joseph plays a game, then it is cloudy can be inferred via the transitivity rule. If Elisabeth drinks water, then it is overcast can be inferred via the transitivity rule.