R U' R' U' F2 M2 x2 U' y' R F R' U y M2 f2 U2
M' U' M2 F2 U2 R2 U' F2 U2 R2 U M' F2 U2 R2
U2 F2 R2 F' U R' U' F U R' F' R' F R2 U' R2 F2 U2

This case has no good algs.

PROVE ME WRONG.
 
R U' R' U' F2 M2 x2 U' y' R F R' U y M2 f2 U2
M' U' M2 F2 U2 R2 U' F2 U2 R2 U M' F2 U2 R2
U2 F2 R2 F' U R' U' F U R' F' R' F R2 U' R2 F2 U2

This case has no good algs.

PROVE ME WRONG.

I'm assuming you mean OLL? I use this...
M' U M U2 M' U M
I get this algorithm in around 1.4 sec.
 
R U' R' U' F2 M2 x2 U' y' R F R' U y M2 f2 U2
M' U' M2 F2 U2 R2 U' F2 U2 R2 U M' F2 U2 R2
U2 F2 R2 F' U R' U' F U R' F' R' F R2 U' R2 F2 U2

This case has no good algs.

PROVE ME WRONG.

V-perm with M or M' (depending on which angle you do the perm on) as a setup ?
 
Aha, you are learning 1LLL?

I would not recommend it, there are a lot of cases :P

Edit:

ELL + CP? Also many cases if you include the adjacent corner swap cases. But the cases like this one, with diagonal corners, are the same number as the usual ELL's (or near the same). That might be a pretty nice add on :)
 
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