It could be something to do with the engine, i've never used it before. My pc can run fairly current AAA games though like skyrim, so i don't think its my graphics card that is the issue.
I have tried the win32 version and it did the same thing. Yes my graphics card is fairly old, but haven't had problems running other games i would assume are more demanding than this.
I downloaded the latest version, and after unzipping the file the application opens a small black box that immediately closes. i downloaded the win 64 ver if that helps.