I have a model textured and every time I put Blender into Rendered View, these weird hard edged shadows show up as if I have vertices sticking out but they are clean.

Could this be a shadow settings problem or is it likely something to do with the texturing? I'm using the cycles rendering engine.
A copy of the ~.blend file can be downloaded from https://blend-exchange.giantcowfilms.com/embedImage.png?bid=322
Here it is.
– Dana
Jul 08 '15 at 02:33