Would I be able to figure it out under those conditions?  No, I don't think I'm capable of being able to think of a resolution to this scenario.  But I may have a solution...

I bring in someone of the opposite sex with the intent to procreate (you didn't mention how children develop but I'm going to assume it's a simulation of the normal process).  I bring in more people, so they can also procreate.  I encourage polygamy and polyamory to generate as many kids as possible.  We live happily and create a society where people have jobs, kids go to schools (where the 'problem' is taught) and learn then those kids have kids, so on and so on and so on.

I have not violated the rules because I, and everyone else who is procreating, are actively working toward solving the issue.  We, in these generations, aren't smart enough to solve the problem but with the fullness of time and the random mutations of genes there is a non-zero chance that a descendant of mine will be smart enough to solve the problem and get out of the simulation.