Wow, what a scramble. My Saturday evening was Square-1 finals into FMC attempt 3, and I was first seed in both at the time; if I didn't choke in Square-1 and the last scramble was fairly easy, there would be a very good chance I walk away from Nats with two championships. If I got too nervous in Square-1 and the last scramble was like the second scramble, then I would lose to Kit (who was tied in sum up to now). Imagine my pleasant shock when I see this thing
I found this skeleton first.
On inverse:
square: D' R' D2 // [3/3]
2x-cross: R2 D2 L2 // [6/6]
Switch to normal with premoves L2 D2 R2 D2 R D:
F2L-1: B' R2 B // [3/9]
F2L: D F' D' F // [4/13]
AB3C: F' D' F D R F L' F' L R' [7/20]
But wait, there's more - the L at the end actually cancels with the L2 premove, giving a 19 to AB3C:
B' D2 B D F' D2 F D R F L' F' L' (*) R' D2 R2 D2 R D // [19]
(*): [R' B' R, F2] (cancels 1 - alas, optimal, with only one other place to insert a 1-move cancel)
I also tried an ending of using F' D' F D F L' F' L for ELL (leaving 3 twisted corners) - the optimal cancellation there, unsurprisingly, was to do the OLL for the 19-move skeleton.
I also found the following skeleton in the first ~30 minutes:
On inverse:
square: D' R' D2 // [3/3]
pseudo 2x2x3: R2 D2 L' // [6/6]
Switch to normal with premoves L D2 R2 D2 R D:
pseudo F2L-1: B' D2 B // [3/9]
EO, preserve blocks: D' L // [2/11]
AB4C: B D2 B' D' // [4/15]
Skeleton: B' D2 (1) B D' L B D2 B' D' L D2 R2 D2 R D
So, about 30 minutes in, I had these two nice skeletons. Because I was fairly unpracticed at 4-corners, I decided to do the ab3c one first, and then bash at the other for a while. With about ten minutes left, I found (1):
(1) [D F D', B] - cancels 4
So, my new skeleton was
B' D' F D' B (2) D F' D2 L B D2 B' D' L D2 R2 D2 R D // [19]
However, I had a lot of trouble writing this down right, so by the time I finally wrote down the right skeleton, I had around 5 minutes left. I knew that I just needed a comm that cancelled at least 2, and I would beat my current 26 - and with about a minute left, I found (2):
(2): [B' L2 B, R2] - cancels 2
However, after checking the clock, I decided that it was better if I played it safe and wrote down my 26, rather than hurriedly transcribe my new 25 onto the sheet and hope that it was written correctly. With 30 seconds left, I started writing my solution, but realized that I wasn't going to make it - with about 2 seconds left and 5 moves to go on the official answer sheet, I stopped and circled my 26 (which I had conveniently written nicely at the bottom of my scratch paper earlier) right before time. Later, I ran the skeleton through IF, and it returned with a 24:
http://mf.qiyuuu.com/cube/if/4cbd49a5381739cb1ad7645f1c1f8885.cube
Later, I also found the following skeleton, with an optimal 11-move cancel insertion (!!!):
On inverse:
square: D' R' D2 // [3/3]
2x-cross: R2 D2 L2 // [6/6]
F2L-1: B2 U' L2 U B2 // [5/11]
tripod: L D L' // [3/14]
AB2C: F2 R F R' F D' // [6/20]
Skeleton: D F' R [@1] F' R' F2 L D' L' B2 U' L2 U B2 L2 D2 R2 D2 R D
Insert at @1: L' F' R' F L F' R F (cancels 5)
After the 1st insertion: D F' R L' F' R' F L F L D' L' B2 U' L2 U [@2] B2 L2 D2 R2 D2 R D
Insert at @2: U' L2 U R2 U' L2 U R2 (cancels 6)
Fewest moves: 25. 11 moves cancelled
The final solution: D F' R L' F' R' F L F L D' L' B2 R2 U' L2 U R2 B2 L2 D2 R2 D2 R D