Consider the following premises. Jessica is an office clerk or Jessica is not listening to a song. For all x_12, x_12 will listen to a song if and only if x_12 is an office clerk. Can we infer the following from them? If we can, name the inference rule being used: If is not true that Jessica is listening to a song if and only if Jessica is an office clerk.
That contradicts the premises. Therefore the answer is no.