Earth's Temperature 1,000 Miles Under the Surface Hits 6,650 Degrees Fahrenheit
http://www.foxnews.com/story/0,2933,262762,00.html

Which is why you'll rarely find a cave full of ice. Which is why glaciers also melt from the bottom up, not just the top down. Which is even why very deep caves inside tall mountains tend to be very warm.

Glaciers aren't being kept frozen by the earth surface temperature, they keep the earth cold for a little bit of depth here and there because the ice becomes cold water which in turn is constantly melting and flowing into the earth in those places too. Which is why we have glacial rivers and lakes.

essentially, it is virtually impossible for a glacier to exist statically unchanged from bottom to top for 40,000 years because the earth itself is warm, very warm. If it were so, the glaciers would be hundreds of miles high.

Yes indeed, even tibet has hot spring spas! warmed and made bubbly by the earth itself, not the atmosphere.
http://www.cuyahogaproductions.com/photo_of_the_week_2004/2004.10.28.html