It is highly recommend that you replace the entire set of demo assets (including the animations and animator controller) to fit your game and make it unique. Take a look at these pages for an overview:
New Animator Controller The animator controller included works well for the included demo scene but may not be the best setup for your particular game. . . .
The Ultimate Character Controller uses Unity’s Animator Controller to control all of its animations. The Animator Controller makes it extremely easy to replace the built-in . . .