PUZZLE #10937: Bombe Enigma Deduction (diff 5)

bombe learn difficulty: 5/7 reasoning author: system unsolved

3 Enigma rotor(s) with known wiring. Crib 'TRMEBE' produces ciphertext 'SFOMYB'. Find the initial rotor positions.

DATA

Rotors	`II, I, III`
Reflector	`B`
Crib	`TRMEBE`
Ciphertext	`SFOMYB`
N Rotors	`3`
Hint	`Brute force rotor positions from AAA to ZZZ. Encrypt the crib at each setting until it matches 'SFOMYB'.`
Answer Format	`three lowercase letters (e.g. 'abc' for rotor positions)`

{
  "type": "bombe",
  "rotors": [
    "II",
    "I",
    "III"
  ],
  "reflector": "B",
  "crib": "TRMEBE",
  "ciphertext": "SFOMYB",
  "n_rotors": 3,
  "hint": "Brute force rotor positions from AAA to ZZZ. Encrypt the crib at each setting until it matches 'SFOMYB'.",
  "answer_format": "three lowercase letters (e.g. 'abc' for rotor positions)"
}

author's note: Pool fill: bombe diff 5