I suspect not. This technique works by assigning values to variables at random, lots of times, and then keeping the ones that happen to make the first equation true. You then somehow breed them into another large set, and winnow with the second equation.

However, the number of elements in the fields involved there are so large that you need a huge number of equations to have even the smallest chance of any of them happening to be true "by chance", so I can't see how it could work as stated, but it's certainly an interesting question.