Ashton Kutcher and Demi Moore are huge social media fans and consistently using Twitter to make announcements regarding career and to share messages about their personal lives with fans. But some recent tweets are fuelling new tabloid reports of alleged cheating and marital troubles, some recent tweets are raising questions about whether the A-list couple is splitting up.

In its latest issue on newsstands now, Star Magazine splashes the headline: "Demi & Ashton's $290 Million Divorce" and alleges that Ashton cheated on his wife. The magazine reports that an eyewitness saw Ashton "kissing and groping a hot young blonde by an out-of-the-way bathroom at Italian restaurant Madeo in L.A." 

"When Demi learns the truth of about the steamy session -- which Ashton's rep denied -- it will be her worst fear come true," Star reports. 

But on Sept. 23, Demi tweeted a quote from the Greek philosopher Epictetus, which read: "When we are offended at any man's fault, turn to yourself & study your own failings. Then you will forget your anger." Then on September 26, she posted a picture of herself laying down with her eyes closed with the caption: "I see through you...."

The Twitter postings follow other clues that might forecast a split. The couple has not been photographed together recently and reportedly spent their sixth wedding anniversary, on September 24, apart. 

Ashton was snapped in San Diego on Sept. 23 and reportedly spent the weekend there partying with former That '70s Show costar Danny Masterson and other pals. The actor -- a prolific tweeter -- did not post anything on the date of his anniversary.  

Demi has been in New York City to promote her short film Five, which she directed for Lifetime. She attended the premiere along with Jennifer Aniston, who also directed a short, on Monday night. She tweeted from the premiere: "At the premiere of 'Five' w/my amazing lead actress the lovely Ava Acres! Wait til you see her incredible performance" But Demi also made no mention of her anniversary.

The couple -- who began dating in 2003 and married in 2005 -- battled rumors of infidelity and marital woes about a year ago. At that time, the two announced they had taken a trip to Israel for what was described as a spiritual journey and they emerged shortly thereafter in public looking as happy as ever. 

Related stories on Madison Insures Breasts for $1 Million

Scarlett Johansson Speaks on Leaked Nude Photos