Could the net equations for burning hexene be used as a means of energy source?

1. $6\ce{CO\_2} + 6\ce{H\_2O}\xrightarrow{some\;catalyst}9\ce O\_2 + \ce{C\_6H\_{12}}$
2. $\ce{C\_6H\_{12}} + 6\ce O\_2\to 6\ce{CO\_2} + 6\ce H\_2$
3. $6\ce H\_2 + 3\ce O\_2\to 6\ce{H\_2O}$


At one point, I had made a balanced set of equations while starting college. Those equations are listed above. I had wanted to get into chemistry to see if there was any possible way those equations could be used as a means for a new kind of energy source; one that could catalyze its fuel, hexene, that it could later use, but then also take the byproducts of the combustion of hexene and produce the same chemicals it needs to produce hexene, and repeat the process. I don't know if it's possible, and I don't know what, if any catalyst would be needed to make it possible. However, as time went on, my major changed to software development and I gave up on becoming a chemist. So this is both a question and a challenge: Can anyone figure out if the system described above is possible, and what would it require to make it available as an energy source?


