Kelly Osbourne tweeted the phone number of her father Ozzy Osbourne's supposed mistress with some colorful commentary, then blasted followers who objected. She also hinted that the alleged paramour is guilty of "elder abuse."

MORE: Sharon Osbourne skips "The Talk" amid talk of split with Ozzy

Kelly Osbourne with her parents in 2013 in Beverly Hills, Calif. Photo: Kevin Winter/Getty Images

Credit: Getty Images

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Credit: Getty Images

Here's a sample of the exchanges:

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Credit: Jennifer Brett

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Credit: Jennifer Brett

In a statement, Ozzy disputed rumors he had experienced some sort of relapse: "I have been sober for three and a quarter years. I have not touched drugs or alcohol in that time. Any reports that I am not sober are completely inaccurate."

No mention of his supposed philandering, though.

Sharon Osbourne's Twitter feed has been considerably more subdued than her daughter's.

"Huge thanks to everyone that has been so supportive to me with kind words & wishes," she posted. "I wish their was another word I could use than thank you."