Core barbarian: half-orc, level 20, Strength 18 + 2 racial + 5 levels + 6 belt + 1 manual + 8 raging = Str 40, full power attack, vicious +5 greataxe, full attack action = four attacks against the adamantine wall for an average of 79 damage per hit = 316 damage to the wall, -60 points for the adamantine's hardness, so 256 damage.
Warblade: half-orc, level 20, Strength 18 + 2 racial + 5 levels + 6 belt + 1 manual = Str 32, full power attack, vicious +5 greataxe, weapon specialization, Strike of Perfect Clarity = one attack against the adamantine wall for an average of 175 damage to the adamantine wall, -20 for the hardness, so 155 damage.
I am failing to see how the core-only half-orc barbarian is anything but superior to the warblade at chopping through adamantine walls in 1 round. <snip>