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 Charles listens to a song, then James is running. If John makes tea, then Mary is a politician. If Robert were a musician, then John is making tea. If it is overcast, then Charles is listening to a song. If James goes running, then Robert is a musician.
If Charles listens to a song, then Robert is a musician can be inferred via the transitivity rule. If Robert were a musician, then Mary is a politician can be inferred via the transitivity rule. If it is overcast, then James is running can be inferred via the transitivity rule. If James goes running, then John is making tea can be inferred via the transitivity rule.