Ok, so can't play Supernatural without a disc.
Did you loose the key as well ?
You can check your registry if the game is still installed on what the key was.
See this thread for details: http://answers.ea.com/t5/The-Sims-3/FAQ-Lost-and-broken-DVDs-and-missing-serial-codes-What-to-do/td-p/14230/
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If all fails, you need to contact customer support. They are the only ones that can help you with the game not showing up in Origin.
They can be found here: https://help.ea.com/contact-us
Choose a category, a game and a platform for the contact options to show up.
If live chat is gray, change your country to US and make sure you're on US Business hours. It might also gray because they're very busy. Try later.
See this post if you have trouble with the site: http://sims3.crinrict.com/en/2012/10/how-to-contact-ea.html
