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: Patricia is a poet. If Patricia were a poet, then Mary is running. If Mary goes running, then Patricia is writing a letter. If it is windy, then Patricia is not writing a letter.
Mary is running can be inferred via the modus ponens rule. If Patricia were a poet, then Patricia is writing a letter can be inferred via the transitivity rule.