Rumsfeld on the Taliban in Afghanistan, December 2002:

KING: What’s the current situation in Afghanistan?

RUMSFELD: It is encouraging. They have elected a government through the Loya Jirga process. The Taliban are gone. The al Qaeda are gone.

Bush on the Taliban in Afghanistan, September 2004:

"The Taliban are no longer in existance."

Rumsfeld, today, when asked about the if the Taliban in Afghanistan will be defeated:

At a joint news conference with Afghan President Hamid Karzai, Rumsfeld said militants "don’t want to see a country like Afghanistan have a successful democracy. They won’t succeed."