Where do you think he was Patty? Has anyone been able to establish he went to work that we know of? I'd be interested to her your thoughts on this.
At this moment, I do not believe Adam had anything to do with the disappearance of his daughter.
IMO, I feel that the ruse that Elisa setup with regards to the fire failed and she had to come up with another story upon Adam's return from looking for a job or going to work.
Perhaps Elisa felt that once she started the fire in the back yard, and wrote the note, she may have figured that the police would go inside her home to check the house and make sure it was secure and they would then see Zahra was missing.
At that point, the scenario of "they" took the wrong child would come forward. Since that didn't happen and perhaps Adam at some point during the day, would want to see Zarah and go into her room, Elisa had to come up with another plan, of which, was Elisa coming out of the house screaming that Zahra was gone upon Adam's return.
I feel the dog didn't bark with the onset of the fire as the dog knows Elisa, however, a little tantalizing of the dog would make the dog bark and wake up Adam.
Elisa had plenty of time from the moment Adam left to go look for work or go to work to go anywhere to dispose of "articles" of Zahra.
At times I dismiss all the "chatter" from relatives about beatings, and then I put them back in my thoughts in order to come up with a reason for Zahra missing and why she is missing.
I feel Adam is a very gullible man and was fed a lot of "poop" especially about the onset of Zahra going into puberty. A man hasn't got a clue when a female is starting puberty and what they may act on while in the process of puberty. However a woman would know and Elisa probably told Adam the reason why Zahra is in her room etc., due to her attitude, puberty, etc., etc.
I also feel when Adam mention the puberty statement is because he only just recently heard it and his chuckle was a form of embarrassment because he realized he made that statement.
Now, I wish I had a clue why sweet, precious Zahra is missing. I feel though that Zarah may have been sleeping when this happened, and was not aware of anyone coming into her room.