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A stone created by a god, which even the creator himself cannot lift? It sounds like a riddle about an all-destroying core and an indestructible pillar.
If I were a god, I would simply delete the world and the possibility of its existence. I would, of course, create an ideal world, but I think I wouldn't be able to pull it off. Although, I could create identical creatures that simply exist and are always happy.
And here's what I would have written about two years ago:
I would first make fun of all the people I hate or simply dislike, maybe I would live it up, enjoying all sorts of material comforts. But that would quickly get boring, I'm sure, so I would create a fantasy world for myself and for any friends who wanted to join, where we would, of course, be the main heroes and do something like saving the world, or conquering it.
By the way, maybe I would indulge in the last point even now...
Added 2 minutes later
P.S. about pillars, cores, and stones: maybe the end of the world will come when the core flies into the pillar, or when a god tries to lift the stone