What about...
Human Paladin, Carlius, Oath of Devotion, Heavy Armor mastery, GWM, using a maul, 2hander style. Chain mail.
Str: 20 Dex: 10, con: 16 (15+1), wiz: 15, int: 12, cha: 18. Ac: 16, Level: 5, hp: 49.
Human fighter, Uther, battlemaster, Shield mastery, Heavy armor mastery, using battle axe, dueling style, chain mail, shield.
Str: 20, dex: 16, con: 18, wiz: 15, int: 12, cha: 10. Ac: 18, level: 5 hp: 54.
The round before closing to fight the Warrior draws his shield and sword and the paladin draws his hammer and uses Sacred Weapon.
This is from "The real World" as the two characters are Uther Hardholder, a scared veteran of the north and Carlius Dragonbane, a devout champion of Pelor. Stats are simplified, but both have really high rolls.
I don't have the formulas you are all using ready, so if one of you could run the numbers I would be grateful. It looks to me like the paladin is a massive favorite here. From the gaming sessions, I would say that the paladin dose around 3 times as much damage as the warrior, but this could be luck.
It looks to me like the game is horridly unfinished. Lacking major balancing and customization options. I will not go into details here, as that would be a discussion of a different thread. But from the look of it, the paladin can do everything the fighter can do, just as well or better and has a lot of extra options to boot (in the form of spells) The fighter gains more attacks and feats, but at level 11 he has 1 more attack and one more feat (stat+2), at that point the paladin gains +1d8 dmg on all swings, +4 to all saves, immunity to fright and disease. That is without counting spells, Smites alone add +15d8(67,5) damage, where as the combat maneuvers at best add +5d10 (+27.5) if not using ripost (harder to calculate). Also remember that the paladin has +4 to hit for 10 rounds after using sacred weapon, an amazing boost. The warrior having Second wind adds hp of 1d10+11 (16.5) as a bonus action, costing action surge or extra attacks. The paladin LoH adds +55 hp costing an action.
Anyway, if someone would run the numbers it would be amazing =)