GOF (sort of) Where was Harry's "Avada"?

[Leon Adato]

No: HPFGUIDX 133978

I know this is going back two books, but I think it has bearing
especially as we discuss the idea of Harry being a Horcrux. 

In GoF, during the duel and the priori incantatem effect (regardless
of whether James or Lily emerged first), wasn't there a spell missing?

We hear the screams of pain earlier - crucio'd people and such. And of
course the Avada'd victims. 

But where was the Avada for Harry? Shouldn't it have come before
James/Lily? My assumption of the events:

James is killed
Lilly is killed
**Harry is NOT killed**
(long gap)
Bertha tortured
Bertha killed
groundskeeper killed
more people tortured
Cedric killed

We get most of that, I think. But not the echo of the spell that
didn't kill the boy who lived. 

Did I miss something, or was this already discussed?

The point being that I would have suspected Avada (even a failed one)
to show up in the Priori effect. But perhaps something like the
Horcrux spell might not.

Just more grist for the mill,
Leon