Think I will go Superman here. I don't know the AP advantage, but ignoring that, Superman has shown resistances to some of Ultraman's better powers. Ultraman could more than likely harm Superman via cutting atomic bonds, but I honestly like the xray/microscopic/heatvision combo over that, since it's invisible and would be hard to see coming. I'm not that familiar with Ultraman, but going by the profiles, Superman is more intelligent, has better stamina, and a decent range.
He is rated higher in his profile. Stamina is nearly infinite under a yellow sun and his intelligence is at extremely high, thou I honestly think it should be higher than that but haven't gotten around to a revision thread. Range I guess is arguable cause Supermans best range feats range (hehe) from power amps to outliers.
Not sure who the better fighter is though. I'm not familiar with Ultrman. That could be a deciding factor as well. Superman has been trained and showed great improverization in fights. He also has his kryptonian martial arts to work with. But Ultraman might be the better fighter, I couldn't say. Just spit balling and hoping someone who knows more about Ultraman or his powers will come in here.
Alright, Imma be honest here, pretty much all the Ultraman profiles here and related ones are basically unfinished, I haven't gotten around to adjusting them properly. I too, am unsure on who is the better fighter as I myself am not well versed in DC. Again, I can't properly gauge Ultraman's fighting capability as I still haven't looked into much of his feats.
But anyway, let's not derail this thread with me babbling on and on about Ultraman.
Superman is resistent to almost all of Ultraman's abilities, Ultraman has no resistence to Freeze Breath, and even if he did, it would come down to a battle of attrition and Superman outlasts him due to massively better stamina.
Right, with all these, that should make 5 for Superman. Whether OP is still managing the thread however, is a different question. Anyway, the scores need only 2 more before the win can be handed to Superman.