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: It is cold if and only if Joseph is bored. If James goes running, then Susan is cooking. If Joseph were bored, then James is running. If Susan cooks, then Joseph is bored. It is not cold.
If James goes running, then Joseph is bored can be inferred via the transitivity rule. If Joseph were bored, then Susan is cooking can be inferred via the transitivity rule. If Susan cooks, then James is running can be inferred via the transitivity rule. If it is cold, then Joseph is bored can be inferred via the biconditional elimination rule. If Joseph were bored, then it is cold can be inferred via the biconditional elimination rule. Joseph is not bored can be inferred via the biconditional elimination rule.