Consider the following premises. If William makes tea, then it is cold. If Robert listens to a song, then it is overcast. If it is overcast, then William is making tea. If it is overcast, then Robert is listening to a song. Can we infer the following from them? The fact that Robert listens to a song does not imply that it is cold.
 From the fact that if it is overcast, then William is making tea, and that if William makes tea, then it is cold we can infer that if it is overcast, then it is cold. From the fact that if it is overcast, then Robert is listening to a song, and that if Robert listens to a song, then it is overcast we can infer that it is overcast if and only if Robert is listening to a song. From the fact that it is overcast if and only if Robert is listening to a song we can infer that if Robert listens to a song, then it is overcast. Finally, from the fact that if Robert listens to a song, then it is overcast, and that if it is overcast, then it is cold we can infer that if Robert listens to a song, then it is cold, which contradicts that The fact that Robert listens to a song does not imply that it is cold. Therefore, the answer is no.