The 2x2x2 "Example Solve" Game!

[Rnewms]

R2 U R F R' F2 R' F U'

y2 x' // Inspection
F' L2 U L // Face
L' U' L U' L' U' L F' L F L' // OLL
L2 F2 L2 U' // PBL+AUF

As executed: y2 x' F' L' U' L' U' L F' L F L F2 L2 U' // Face+Anti-CLL+AUF

Next: R' F' R2 U' R U' R2 F2 U'

 

[G2013]

Next: R' F' R2 U' R U' R2 F2 U'

U R' U L /Face & accidental OLL (OLL skip)
y /Adjust
R' F R' B2 R F' R /PBL

Final solve: U R' U L B' R B' L2 B R' B (11 HTM, appears in CubeExplorer maneuver windows of course) (And the final solve can be done with [F, R, U] only, too: U R' U R U' F R' U2 R U' R)

Next: R2 F2 U' F U2 F U F2 U (Handscramble near-optimal-and-FRU-ized)

 

[Cale S]

Next: R2 F2 U' F U2 F U F2 U

Solving with only pure commutators is fun

[Take all stickers off the cube, U'] // U move
[L' D2 L, U']
[L2, F' R F]
[F R F', L]

Next: R F' U R F U2 F2 R' U2

 

[Rnewms]

Next: R2 F2 U' F U2 F U F2 U

x // Inspection
U2 L' // Face
F L' U' L U R U' R' // Anti-CLL
R2 B2 R2 // PBL

As executed: x U2 L' F L' U' L U R U' R B2 R2

EDIT: Ninja'd so

R F' U R F U2 F2 R' U2

y' x' // Inspection
F R' U' R' // Layer
R U2 R2 F R F' R U2 R' U2 // CLL+AUF
As executed: y' x' F R' U R2 F R F' R U2 R' U2

Next: F U R2 F U2 R' F'

 

[Cale S]

Next: F U R2 F U2 R' F'

Premove: U
z' U' R' y U' R U R' // Layer
R U2 R' U' R U' R' // OLL/CLL
R // Undo premove

With cancellations: z' U' R' y U' R U' R' U' R U'
9 moves

Next: U F' R2 F U R2 F2 R' U

 

[G2013]

Next: F U R2 F U2 R' F'

D' R2 U2 R' R' F R2 U R' F' R U2 R', so cancelling things it is D' R2 U2 R2 F R2 U R' F' R U2 R' (12 HTM) which isn't bad...

OR

U2 R' U B2 U B' B U' F' U B' U' F, and when you cancel things it is U2 R' U F D B' D' F (8 HTM), which is reaally near optimal (optimal is B D B2 R' F2 D' F')

Next: R2 U R U2 F' U2 F' R' U2 (not)

EDIT: I accidentaly skipped the previous post

 

[ch_ts]

Next: U F' R2 F U R2 F2 R' U

F2 U' F' U' F // into <R,U>
U R2 U' //L layer
U R2 U2 R' U2 R' U2 R2 U R2 // bruno on R

cancel moves:
F2 U' F' U' F
U' R' U2 R' U2 R2 U R2

Next: F' U F' U F' R F2 R' F2 U'

 

[Ollie]

Next: F' U F' U F' R F2 R' F2 U'

z' y R' U R' U' F R U R' U' F' y' F' U R' U2 R U' F U2 // one look Ortega, hells yeah

next: U2 F' R' U' F U' F U' R2 U, lol

 

[G2013]

Next: F' U F' U F' R F2 R' F2 U'

1st try:

U2 L U' L2 /Face
D2 y2 /AdjustEG
L2 y L U' L' U2 L' U B D2 /EG1

Final solve: U2 L U' L2 D2 R2 B U' B' U2 B' U R D2 (14 HTM)

2nd try:

x' y2 /Inspection
R' U R' U' R /Face
y2 /Adjust
U2 F R2 U' R2 F U' F2 U' R /EG1
U' /AUF

Final solve: L' B L' B' L B2 U R2 B' R2 U B' U2 B' R B' (16 HTM)

3rd try:

x z' /Inspection
R' U R' /Face
U x /Adjust
U' R2 U' R2 U' B' U2 R2 F2 /EG1

Final solve: B' R B' R D' B2 D' B2 D' R' D2 B2 L2 (13 HTM)

4th try:

U R' F2 U' F /Face
R' F2 U' R U' R' U F2 U R /CLL

Final solve: U R' F2 U' F R' F2 U' R U' R' U F2 U R (15 HTM)

5th try:

x' /Inspection
F' R' U' R' /Face
y /Adjust
F' U F' R F' R U R2 F2 U /CLL+AUF

Final solve: U' R' B' R2 B R' D R' D B D2 R2 B (13 HTM)


So my final solve could be either U' R' B' R2 B R' D R' D B D2 R2 B (13 HTM) or B' R B' R D' B2 D' B2 D' R' D2 B2 L2 (13 HTM), the shortest ones. The longest was and is 16 moves long.

Spoiler: Next: R F' U F2 R' F' U R' U'

Wow, I spent 25 minutes writing my solves, so Ollie posted before me xD

 

[Cale S]

Wasn't sure which scramble to use, so I did both.

next: U2 F' R' U' F U' F U' R2 U, lol

x y'
R2 U' R2 U' R2
F R U R' U' F'

11 moves, one more than optimal

x2 y
R U' R'
U2 R U' R2 F R F' U2

11 moves again using TCLL, which I don't actually know

Next: R F' U F2 R' F' U R' U'

Solving with only pure commutators without any U or D moves.
[R, F L2 F']
[B2 L B2 L' B2, R]
[L' B' L, F2]
[R B2 L B2 L' B2, R]

Next: R F' R2 U R' U' F' U' F2 U'

 

[rebucato314]

Next: R F' R2 U R' U' F' U' F2 U'

Inspection: y y'
1st layer: R2 U R' U' R
OLL: R U2 R' U' R U' R'
PLL: (L U' R U2 L' U R')x2

Next: R F' R F2 U2 F' R2 F' R' U2

 

[G2013]

Next: R F' R F2 U2 F' R2 F' R' U2

x' z /Inspection
U R' U' R /Face
U /Adjust
F R' F U' F2 R U R /EG

Final solve: L B' L' B L U B' U L' U2 B L B (13 HTM)

Or...
Inverse scramble:

D R' B' L /Face
F2 /Adjust
B2 U B' R B2 R' U2 R' U R F /EG

Final solve: R' U' F' U F2 U R2 U' F R' F' R F U' (14 HTM, FUR-ized by manipulate alg)

Next: F U F' R F2 U2 F' U F2

 

[Ollie]

Next:

y' x2 R U2 R2 U R2 U' F R U R' U' R U R' U' F' U'


next: F R U2 R U' F2 U2 F' R2

 

[DuffyEdge]

next: F R U2 R U' F2 U2 F' R2

x // inspection
L' U L' U' L // layer
U' R U R' U R U2 R' U' // CLL

next: U F' U2 F2 U' R' F U2 R'

 

[G2013]

next: F R U2 R U' F2 U2 F' R2

x' L U /Face
x' y2 U /Adjust
R' F R2 U' R2 F R /EG
U' /AUF

Final solve: L B D L' F L2 D' L2 F L D' (11 HTM)

Or, working on inverse scramble:
x2 y' /Inspection, and magic
U' R U' R U R' /Face+Magic cancellations
R U2 R' U' R U' R' /CLL
U' /AUF

Final solve: F L F L' F L F L' F L' F (11 HTM)

Really short solves, but optimal is even shorter:
F R U' R2 U' F U2
7 moves!!

Next:

next: U F' U2 F2 U' R' F U2 R'

I posted after

 

[Cale S]

next: U F' U2 F2 U' R' F U2 R'

z' y' z' y2 // rotate
U' B' // optimal magic
U' R U' R U' R U' R2 U R2 U' R2 U' // probably not optimal <R,U>

Next: U F2 U' R U' R' U2 R U'

 

[Mehrzad]

Next: R U F' U F R U' F U R U'

Y'
R U R2 U' // fristlayer
R' U R' U' R U' R' U' R2 U2 // eg-1

Next: U F2 U' R U' R' U2 R U'

z'
U R U' R2 // frist layer
U2 R U R' U' R' F R F' // cll

Next : F U2 F' U' F2 R2

 

[CHJ]

Next : F U2 F' U' F2 R2

y' z' L' U2 L' //first face
L F' L2 U L U' F' U' F U' // EG1

y' z' L' U2 F' L2 U L U' F' U' F U' // solution with cancellation

next: R' U2 F' U' R2 F2 U' F R

 

[Bindedsa]

next: R' U2 F' U' R2 F2 U' F R

z' y
U F R' F2 R' F2 R U L U' R' U L' U

Next: U' R' U2 F U' F2 R F U2

 

[TDM]

U' R' U2 F U' F2 R F U2

x2 y' // Inspection
R2 U R2 // Diagface (I make diagfaces/layers more often than I should for an Ortega user (i.e. every solve))
R' F R F' R U R' // OLL (avoids worst PBL, R U' R' U' F2 U' R U R' D F2 R2)
U L F' R U2 R' U R' F' // PBL (my favourite PBL)

Next: F2 U2 R' U2 R' U' F2 U F2