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The CEOR Example Solve Thread


y2
S2 U2 F' // CP line (3)
r' U r U' M U' M2 // FBCP (7/10)
u R u R u' R2 u' // 3QB (7/17)
R2 U' R' U2 S' U S // EO (7/24)
U R U' R2 U' R U R2 U' R' // APB (10/34)
U' R' U R' U R2 U' R2 U' R2 U' R U R' U' R' // 2GLL (16/50)
U' R2 U2 R2 // cleanup (4/54)

NEXT:
D2 B U2 B D2 F U2 F' U2 B' D' L' B' R2 D' F2 L2 U' R' U
 
51 STM:
//1-2 tracing
//no swaps
R f U f U S2 u' M' U' R u2 U2 r //CPFB
R S' U S U R' r' U' R U r U r U2 r' //EOdM
U R' U R U' R' U' R' U' R U R' U' R //RB
U2 R' U' R U' R' U2 R U //2GLL

wow the RBLL here contains only 1 double move.

Next: D' R B' L U F' L' F' R2 F2 R F2 U2 D2 L2 F2 D2 R' D2 R2 D'

y' z2

// DFL/DBL both solved
// #5/#6 almost friends in pos. #4/#5
// #5 has odd parity (in pos. #5) - reverse tracelet
// CP case: 31 (U312)
// pos. #4 (corner #6) swaps with corner #2 (pos. #1)
// CP trigger: F' U' F (U'123)

F' U' F U S' // CP line (5)
U R' u2 R u' // FBCP (5/10)
U' R r U r2' // SS (5/15)
U' r U r' U' M2 U M' U2 M // EOdM (10/25)
U L' E2 L U2 L' E2 L // insert FRE (8/33)
U R' U2 R U R' U R U R' U' R U' R' U2 R // 2GLL (16/49)

NEXT:
D' U' F2 L2 R2 D' L2 F2 R2 B2 F2 U2 L D' R2 D' U2 B' R2 U L
 

x' y
// cp case 23
// pos. X is corner 1 -- needs to swap with corner 4
R2 U2 M2 S R F2 // cp line (6)
r2 U R' E R' u2 R E // lE + DRS (8/14)
R' U M2 U2 r' U' r U M2 U2 r U // F2L (12/26)
r' U' M2 B2 M B2 // EOdM (6/32)
U' r' F' r U' r' F2 r U // 2GLL (9/41)

NEXT: F R2 D' L U2 B2 L F' D2 R2 U B2 D' R2 F2 D R2 D F2
 
NEXT: F R2 D' L U2 B2 L F' D2 R2 U B2 D' R2 F2 D R2 D F2

44 STM

Inspection: y

CP-Line (6): U2 L F L U' L'
pEO-extension (8): u' R' u' U' R u R' u
EO-BF (10): R U r U r U R2 U' R2 r2
F2L (11): R' U' R U2 R2 U R2 U' R' U' R'
2GLL (9): U2 R U2 R' U' R U' R' U

I'm developing the CEOR (YruRU) method in my solve application, and this is the first result.


Next: R' D2 U L' B R' B2 R2 F D2 L' B' F' U2 F2 U2 L2 D U' B'
 
44 STM

Inspection: y

CP-Line (6): U2 L F L U' L'
pEO-extension (8): u' R' u' U' R u R' u
EO-BF (10): R U r U r U R2 U' R2 r2
F2L (11): R' U' R U2 R2 U R2 U' R' U' R'
2GLL (9): U2 R U2 R' U' R U' R' U

I'm developing the CEOR (YruRU) method in my solve application, and this is the first result.


Next: R' D2 U L' B R' B2 R2 F D2 L' B' F' U2 F2 U2 L2 D U' B'
So this is a computer-generated solution? Very cool!
 
Next: L F D' L' D B2 D2 B' D R' U2 F2 U2 R D2 L' U2 L' U2 F2 B2

39 STM

Inspection: y2

CP-Line (5): D F D2 R F2
pEO-extension (6): r2 u2 U' R' u2 r2
EO (4): R' r U' r'
BF (8): U' R U r2 U' r2 U R
F2L (8): U2 R U R' U2 R U' R'
2GLL (8): U2 R' U' R U' R' U2 R

I continue to improve my YruRU solver:
[UF|54 STM]: (F D' F U2 F B2) (r u' U' R' u' r R2 u2) (R r' U' r2 U' r') (R U2 r2 R U r2) (U R U' R' U' R U R') (U R U' R' U2 R U R' U R' U' R U R U R' U' R' U R )
[UF|42 STM]: (F D' F2 R2 U' B') (r' u' R' u' U r' u2) (U' R U') (r U2 r R2 U r2) (U' R2 U R U' R' U2 R') (R' U2 R2 U R2 U R U' R U' R' U')
[UF|49 STM]: (F' U' F2 R2 F' D2) (U' R u' r u2 r u') (R' U2 r U' r') (r2 U' R U r2 R') (U' R U2 R2 U' R2 U2 R2 U' R) (U2 R2 U' R' U' R2 U R U R2 U R' U R U)
[UF|48 STM]: (F U' R2 B2 D' B') (U' u2 R u' R u') (r2 U' r' U2 R2 U' r') (U' r2 U2 r U2 r) (R U' R' U R2 U' R U R' U R') (U2 R' U' R2 U R2 U R2 U2 R2 U2 R )
[UB|51 STM]: (y2) (B U L D' F2) (R' u' r u2 r U' R u') (r U r U' r U' r) (R2 U' r2 U' r2 R2) (R U2 R2 U R' U R' U' R2) (R U2 R' U' R U' R' U2 R U R' U R U2 R' U)
[UB|47 STM]: (y2) (B' D' R2 B' F2) (r U' R' r' U u2 R' u2) (R' r U' r') (r2 U2 r U2 r) (R' U2 R U2 R' U R2 U' R') (R' U2 R' U' R2 U' R U R' U' R U2 R U' R U2)
[UB|39 STM]: (y2) (D F D2 R F2) (r2 u2 U' R' u2 r2) (R' r U' r') (U' R U r2 U' r2 U R) (U2 R U R' U2 R U' R') (U2 R' U' R U' R' U2 R )
[UB|56 STM]: (y2) (B U L U' R2 D') (r u' R r u' r u') (r U2 r' U2 r U' r') (r2 R U R U r2 R2) (U R' U' R U2 R U R U' R2 U R2) (U2 R U2 R' U' R U' R' U2 R' U2 R U R' U R U)
[UR|50 STM]: (y) (F U' B' U L' F2) (r2 u R' r2 u' R u2) (U' R2 r U' r') (r2 U R U R' r2) (R U R' U2 R' U R2 U' R') (U R U R' U R U2 R' U R' U2 R U R' U R U')
[UR|50 STM]: (y) (U' B' U D L' F2) (u R u R u R u) (r2 U R2 U' r' U' r') (R2 U2 r2 U R2 U r2) (U' R U2 R' U2 R U2 R2 U2 R) (U R' U' R2 U R2 U R2 U2 R2 U2 R U)
[UR|51 STM]: (y) (U' R B' U L' F2) (r U u R u r u2) (r U2 r' U2 r U' r') (U r2 U R U2 r2 U' R2) (U2 R2 U2 R' U' R U' R2) (U' R U R' U R' U2 R2 U R2 U R2 U' R' U')
[UR|54 STM]: (y) (F U' B' U F L' F) (U2 r u R U' u r u2) (r' U' R' U' r) (r2 U2 R' U R' r2) (R U' R' U' R' U R' U R2 U' R2) (U R U2 R2 U' R2 U' R' U R' U' R U R' U R U2)
[UL|52 STM]: (y') (R' U B' L B) (U R' u R r2 u r2) (r2 U' R2 U' R r' U' r') (U' r2 R2 U r2) (R2 U2 R' U R' U2 R U' R U2 R) (R' U2 R U2 R U R' U' R' U R U2 R U2 R' U)
[UL|48 STM]: (y') (D L U2 B' F') (U2 r U' R2 u2 r u2) (U' R2 U' r' U' r2 U' r') (R U' R' U r2 U r2 R') (R2 U R' U R U2 R2) (U2 R2 U R U R' U' R' U' R' U R' U2)
[UL|45 STM]: (y') (D L' B L2 B2) (u' U2 R' r2 u' r2) (R r U2 r U' r U' r) (R' r2 U r2 R') (U R2 U2 R' U2 R U2 R) (U R U2 R2 U2 R2 U R2 U R2 U' R' U')
[UL|50 STM]: (y') (D L B' R2 F2) (u R r2 u U r2) (r U' r2 U' R U' r) (U2 r2 R' U R2 r2) (U R U' R U' R' U2 R' U' R2) (U R' U2 R U R' U R U' R' U' R U' R' U2 R )
[DF|51 STM]: (z2) (D L' F R2 D) (U' r2 R u R r2 u) (R' r2 U' R U r U' r) (U' r R' U2 r') (U' R' U R' U R2 U R' U2 R2) (U R' U' R U' R' U2 R U' R' U2 R U R' U R )
[DF|39 STM]: (z2) (U B' L F2 D2) (u2 R2 U' r u2 r) (R' r U' r') (R2 U' r' R2 U2 r) (R' U' R2 U2 R U R' U' R2) (U R' U2 R U R' U R U)
[DF|45 STM]: (z2) (D2 U' F' R B2) (R' U' u r2 R u r2) (U' r U R2 U' r') (U r2 U' r2) (U R U' R U2 R' U2 R U R) (U' R U R2 U' R2 U' R2 U2 R2 U2 R' U2)
[DF|41 STM]: (z2) (U' L2 D' L D' F) (u2 R2 r' U r u2) (r U2 r U2 r U' r) (U2 r2 U R' r U2 r' U2 r2) (R' U R) (R' U2 R2 U R2 U R2 U2 R' U)
[DB|50 STM]: (x2) (B' R B F2 D2 F') (u' U' R u' R u2) (r' U' R r2 U' r') (r U2 r U r U2 r) (U2 R' U R U' R' U' R) (U R U2 R' U' R U' R' U R' U2 R U R' U R U)
[DB|51 STM]: (x2) (D B' R F2 D2 F') (R u' R u2 R' u') (U' r U2 r U' r U' r) (U' R U r U2 R2 r') (R U R2 U R2 U2 R2 U' R) (U2 R' U2 R U R' U R2 U R' U R U2 R' U)
[DB|44 STM]: (x2) (B' R F2 L2 B D2) (u2 U' R u' R' u') (U' R U R' r U' r') (r2 U' R' U' r2 R') (R U R' U R U R' U2 R' U' R) (U2 R U R' U R U2 R' )
[DB|46 STM]: (x2) (B' R F2 D2 R2 F') (U u R u R u2) (R r U' R' U' r') (R2 U2 r2 U r2) (U' R U2 R' U' R2 U' R' U R2) (U R U R2 U' R2 U' R2 U2 R2 U2 R' U)
[DR|51 STM]: (z2 y') (R D2 R F2 D F') (r R' u2 U r u2) (R U2 r' U' r2 U' r') (R U r2 U r U2 R2 r) (R' U2 R U R' U' R) (U R' U' R U R' U R U2 R' U R U2 R' U' R U)
[DR|42 STM]: (z2 y') (R D2 R F' D F2) (R' u r' u2 r' U R' u) (U r U' r') (R' U r2 U r2 R) (R U2 R2 U2 R' U R' U R' U2 R2) (R' U2 R U R' U R )
[DR|52 STM]: (z2 y') (L' D' F' U2 R B') (r u' U R' u' r u2) (U' R U r U' r') (U' R' U2 r2 R' U' r2) (R U' R U' R' U' R U' R U' R2) (U2 R' U2 R U R' U R2 U R' U R U2 R' U2)
[DR|48 STM]: (z2 y') (R B2 L' B' D' F') (r U u2 r u' R' u') (U R U r U' r') (U' R r U2 r U' r2) (R' U R U' R' U' R) (U' R' U2 R2 U R' U R U2 R' U' R' U R U')
[DL|51 STM]: (z2 y) (D' B2 L B F2) (r' U' u2 r' U' R' u2) (R U' r U R2 U' r') (R' U2 r2 U r2 R') (U' R U R U R2 U' R U2 R) (U' R' U2 R U2 R U R' U' R' U R U2 R U2 R' )
[DL|46 STM]: (z2 y) (D' B2 D L F2) (u R U R u2 R u) (U r U' r') (U' r2 U' r2) (U R' U R U2 R U R2 U R) (R U' R U R U' R' U' R U2 R' U2 R' U R' U')
[DL|48 STM]: (z2 y) (B2 D B2 L F2) (R u R' u2 R' u) (r' U' R U' r2 U' r') (U2 R' U r2 U R' U r2) (R U2 R' U R U' R') (R U2 R' U' R U' R' U' R U R' U R U2 R' )
[DL|49 STM]: (z2 y) (D2 L F2 R B') (u R' r' U' u r u' r) (R r' U' R' U' r) (U R U R r2 U R U r2) (U2 R U2 R' U' R U R') (U' R U2 R2 U2 R2 U R2 U R2 U' R' U)

Next: D R U2 B' F' U' F' D' U2 B L' U L' B F2 L' F2 R F2 U
 
Next: D R U2 B' F' U' F' D' U2 B L' U L' B F2 L' F2 R F2 U

y2 // #5/#6 almost friends in pos. #3/#6
// #4 in pos. #4
// default tracelet gives CP case of 13 (R54132)
// positions that need to swap: U"63421
// CP trigger: U' F' U' F

S' U' F' U' F // CP line (5)
u' R' r2 u // FBCP (4/9)
U' R U r // belt, influence DRS (4/13)
U M U M // EODF (4/17)
U M U2 M' // insert DBM (4/21)
R U2 R' U R2 U' R' U2 R' // DCAL (9/30)
U' R' U2 R U2 R U R' U' R' U R U2 R U2 R' U // 2GLL, pure flip (17/47)

NEXT:
L U F' R2 D' R B2 R2 L2 U B2 U' L2 D2 F2 D R2 U2 B
 

z'
B2 // solve DbL
U' R F // CPDL (4)
U M2 R U r2 // dM (5/9)
u2 R' u R E2 R' // 3QB (6/15)
U R U R' U' // dBR (5/20)
M U2 R2 U R' U r // EODR (7/27)
U2 R U' R U2 R2 U' R2 U' R2 // dFR (10/37)
U R U' R U R U' R' U' R U2 R' U2 R' U R' // 2GLL (16/53)
U2 R2 E2 // undo pseudo (3/56)

next: B R2 B D2 U2 B2 R2 F' R2 L D R B' F2 D' R' U2 F R
 

y'
F' U' F // CP line (3)
u' r' U' r R U' M2 // dM extension (7/10)
u R2 E2 R2 u R2 E' // 3QB (7/17)
R' U2 R U' R' U' R // dBR (7/24)
U S' U' S2 R2 S' // EODR (6/30)
R' U2 R' U // dFR (4/34)
// much cancellation
R' U' R2 U' R2 U2 R2 U2 R' // 2GLL (9/43)
u2 U' // AUF (2/45)



NEXT:
F' D R2 D2 U2 B R2 B R2 U2 B2 F' L2 D2 L' D R D F D2 L'
 
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