Interpretation of facts in dream
Freud's psychic apparatus is pure theoretical psychology, which isn't cognition's best friend.

It's really hard to think how one could map the 3 construct to cognition (perhaps id is the easiest - primal brain, instinct). But even if you could, suggesting an inconsistency between 3 brain mega-systems to explain dreams is a bit of a stretch (albeit not completely unfounded - consider phantom limbs).

So as far as cognition goes, dreams have a few key characteristics:


Recency - they involve things that you have experienced since you've last slept.
Saliency - they involve things that are of subjective importance.
Randomness - random combinations and often incoherent flow.


If you try to infer anything from dreams, your best shot is that whatever you dreamt of was either recent, salient or random.

I know it may not be exciting like Freud's theories, but it is by far more founded on empirical evidence.