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 listens to a song, then William is a server. If Patricia listens to a song, then William is a server. If William were a server, then Richard is a writer. If Richard were a writer, then Patricia is listening to a song.
If Patricia listens to a song, then Richard is a writer can be inferred via the transitivity rule. If Patricia listens to a song, then Richard is a writer can be inferred via the transitivity rule. If William were a server, then Patricia is listening to a song can be inferred via the transitivity rule. If Richard were a writer, then William is a server can be inferred via the transitivity rule. If Richard were a writer, then William is a server can be inferred via the transitivity rule.