Consider the following premises. It is cold or Jessica is not sleeping. For all x_13, if x_13 sleeps, then x_13 is listening to a song. For all x_13, if x_13 listens to a song, then x_13 is sleeping. Can we infer the following from them? If we can, name the inference rule being used: The fact that Jessica listens to a song does not imply that it is cold.
That contradicts the premises. Therefore the answer is no.