What prehistorical creature did apes evolve from as cats of today large and small evolved from the Sabre toothed tiger?

Cats did not evolve from sabertoothed tigers. Rather, sabertoothed cats evolved from other cats.

Modern apes evolved from miocene apes, which were somewhat similar. Miocene apes evolved from some lemur-like primate, or perhaps something like a lorise.

http://en.wikipedia.org/wiki/Loris