01/24/2012 at 04:00 PM EST
In the days since PEOPLE reported that Johnny Depp
and Vanessa Paradis's 14-year relationship is all but finished
, the actress has been spotted solo
, even hitting the red carpet
alone at the premiere of her new film Café de Flore
She kept mum at her movie premiere, but on Tuesday, French TV panelist Arianne Massenet asked Paradis, 39, the million-dollar question on Le Grand Journal
"The press is going on about this separation with Johnny Depp ... How do you handle these rumors?" asked Massenet [PEOPLE's French correspondent translated the interview].
"It depends which rumor," Paradis replied. "Here, this is one which could hurt my family. After that ... they say that we have 52 houses in France, we separate in winter, we get married every summer. Me, I'm in my 12th pregnancy."
"All this is, I don't know, because the Queen of England didn't lose her teeth this week and there's nothing happening," Paradis continues of the coverage of her relationship with Depp, 48.
"And to finish the rumors off, they are false?" asked the program's host, Michel Denisot.
"Yes, they are false," she replied.
Which rumors she was referring to remains unclear (or perhaps lost in translation?) But multiple sources tell PEOPLE in this week's cover story that Depp and Paradis's relationship is all but officially over.
"It's so sad," says one insider. The couple have two children together, Lily-Rose, 12, and Jack, 9.