NOT a shia but.. to put it in simple and blunt words...
Mutah is basically Like Prostitution.
You are so absolutely brilliant and insightful and you are not even a shia, I am so impressed!!! (Sarcasm Alert! - for the intellectually challenged)
My dear friend even as per Sunnis Mutah was allowed during the time of Prophet (SAWAW), so nauzubillah you are accusing the Prophet for condoning such a practice.
I know use of Aql is haram in your religion, but have some decency and shame before uttering such foul accusations.