Darkseid always kick superman's Ass....I think these two (Superman and Darkseid) had a final Battle and Superman finally defeated him, in fact, Superman almost killed him, but I'm not sure if there was a sequel to this battle because Darkseid was still alive at the end and he was saved by his People
In reality, Darkseid wants no part of Supes... He knows that on Earth, under the yellow sun, that Superman would own his ass... Superman's entire problem has always been that he was afraid to cut loose... Afraid of what kind of destruction he could do if he just said, "Fuck it".
If he went 100 percent, All out... No reigns... He would wipe the floor with Darkseid.
Darkseid knows this.