They may, however, simply draw more because the winning idea(s) are still outside of their analysis horizon -- the same may well be true for humans as well.
This silly idea (above) fits well with the Evolution and God existence threads.
If you IMAGINE the solution to Chess lies outside the limits of your vision (or the vision of engines), you will always have this silly position to fall back upon. QED.
To infinity and beyond ?? Georg Cantor is surely turning over in his grave.
Only Deep Thought could do it.