None of the Pixar´s movies are rendered fully with ray-tracing. Renderman is mostly standard triangle based renderer. 
Ray-Tracing is usualy used when there is need to do reflections or refractions which would be very hard to do well otherwise.
And they use antialiasing, motion-blur and other fx quite heavily... 
as far as i know only full lenght feature using primary ray-tracing for rendering is Ice Age. 
Square usa is developing own huge-paraller raytracer called Kilauea. Here´s link for .pdf for those who might be intressed.
http://www.squareusa.com/kilauea/siggraph2001/kilaueaE.pdfSome stats from toyStory1 (taken from various sources)
--
Leaves on a typical tree: 10,000
Trees on Andy\'s block: 100+
Leaves on Andy\'s block: 1.2 million 
Number of basic arithmetic operations per pixel: 500,000 
Painted texture maps: 2000+
RenderMan shaders: 1300. 
Amount of RenderMan data sent though the renderer: 34 terabytes 
total storage for final frames: over 500 gigabytes Resolution per frame: 1536 x 922 pixels.
(rendering was accomplished via Pixar\'s RenderMan software running on Sun\'s multiprocessor SPARCstation 20\'s). 
The movie\'s final image rendering was accomplished on a "farm" of 87 dual-processor and 30 quad-processor 100-MHz SPARCstation 20s 
Even with that, rendering the film\'s 110,000 frames required the equivalent of 46 days of continuous processing; put another way, rendering each frame took one to three hours of SPARC processor time.
--