Consider the following premises. If William goes running, then Elisabeth is not listening to a song. Elisabeth is listening to a song. Linda is a taxi driver if and only if William is running. Linda is a taxi driver if and only if it is cold. Can we infer the following from them? It is not cold.
 From the fact that if William goes running, then Elisabeth is not listening to a song, and that Elisabeth is listening to a song we can infer that William is not running. From the fact that Linda is a taxi driver if and only if William is running, and that William is not running we can infer that Linda is not a taxi driver. Finally, from the fact that Linda is a taxi driver if and only if it is cold, and that Linda is not a taxi driver we can infer that it is not cold. Therefore, the answer is yes.