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 William were an office clerk, then William is playing a game. If Robert plays tennis, then William is an office clerk. If Patricia were a server, then Robert is playing tennis. If William plays a game, then Patricia is a server.
If William were an office clerk, then Patricia is a server can be inferred via the transitivity rule. If Robert plays tennis, then William is playing a game can be inferred via the transitivity rule. If Patricia were a server, then William is an office clerk can be inferred via the transitivity rule. If William plays a game, then Robert is playing tennis can be inferred via the transitivity rule.