According to the merger agreement, Musk is accused of multiple breeches of the deal.
The world's richest person decided to buy the micro-messaging service in April.
Mr Musk said that he backed out because he didn't know enough about the number of fake and bogus accounts.
He could face a $1 billion break-up fee and a lawsuit if he opts out.
Musk said the deal was temporarily on hold as he was waiting for data on the number of fake and fraudulent accounts on the micro-blogging site.
The billionaire businessman asked for evidence to support the company's claim that less than 5% of its users are spammers.
In a letter, Mr Musk's lawyer said that they 888-492-0 888-492-0'd the information.
After Mr Musk's announcement, shares in the social media company fell.
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