YESSS
I BEAT IT!
A little over four minutes. I don't see how the top scorers can beat it in 2:03, it takes one minute just to get to the sword, probably at least two to get to the guy before you open the gate upstairs.
A little tip. I was agonizing over this POS for hours, then I realized you can hit space bar instead of a sometimes faulty (required exact simultaneous-ness) up+arrowkey for a normal forward jump. The game was a snap after that.