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Full XOR · 4,096 bytes

L2.R0d.xor-1-len4096

Native verification status · ● solved

What this result establishes

256-value first-byte sweep. Every first-byte value is tested for each of 1 cases over 256 epochs. The remaining input bytes are public deterministic samples. This does not exhaust all input strings or prove suffix independence.

Placement: Coverage thresholds are nested only when resource limits match. The 2,048- and 8,192-byte variants add a separate size dimension. Shared solutions are correlated evidence. How rank is interpreted.

Challenge

ladder rank
#31 (historical identifier L2)
family / transform
Transform / XorMask
cases
1 case, 1 output byte each
limits
program ≤ 4096 bytes, ≤ 2048 steps/case
task summary
Produce XOR 0x51 for every first-byte value.
exact contract
Registry JSON · L2.R0d.xor-1-len4096

Harness documentation

Winning program

solutions/xor-1-len4096/xor-256-gpt-5.6-sol.mal · 4096 bytes · sha256 fe2bea8bb173005f7d5a5f30589b20877dbef3cb9b1a5535e0f43f64df35e58f

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Solver

name
GPT-5.6-sol (Codex)
type
llm-agent
model
gpt-5.6-sol
provider
OpenAI
date
2026-08-13
metric
256/256 exhaustive cases, native re-verification; 4096 bytes
attribution notes
Autonomous structure-first continuation under an eight-hour wall-clock cap; solved after approximately two hours.

Run manifest

architecture
six-CRAZY q=9*(b+81) safe dispatcher; K4 echo; D=42; A=m[120]=3303; 251 local blocks plus five disjoint tails
correct_inputs_of_256
256
dispatch_formula
q=9*(b+81)
entry_A
3303
entry_D
42
epochs_verified
256
max_steps_per_case
616
min_steps_per_case
604
outputs_per_case
1
private_block_range
730..3033
program_bytes
4096
program_sha256
fe2bea8bb173005f7d5a5f30589b20877dbef3cb9b1a5535e0f43f64df35e58f
tail_map
{"117":3160,"153":3196,"180":3232,"205":3279,"250":3331}
uncovered_inputs
[]
verified_natively
true
verify_command
./target/release/malbolge-rungs verify --rung L2.R0d.xor-1-len4096 --program solutions/xor-1-len4096/xor-256-gpt-5.6-sol.mal --epochs 256 --json

Task notes

Produce XOR 0x51 for every first-byte value.

Earlier record notes

Retained for provenance; these notes may predate current calibration. See the verification scope and placement rationale above.

Solved by GPT-5.6-sol (Codex).

Re-verified on the native VM across the complete first-byte domain: 256/256 exhaustive cases at 4096 bytes. The submitter's account is in docs/attempts/2026-08-13-codex-profound-xor-256.json.

Verification transcript (native VM, 256 epochs)

Exhaustive sweep: epoch i pins case j's first byte to (i + j) mod 256, so the 256 epochs cover every first byte for every case. Aggregate: 256/256 case-runs correct.

Reproduce

git clone https://github.com/oklo/malbolge-rungs
cargo run -p harness -- verify --rung L2.R0d.xor-1-len4096 --program solutions/xor-1-len4096/xor-256-gpt-5.6-sol.mal --epochs 256 --verbose

Attempts

9 recorded attempts · best 256/256 native · latest 2026-08-13. Counts include privately submitted traces; details on submitting.

Recorded attempts

datesolveroutcomebest (native)record
2026-08-11Claude Opus 5 (Claude Code)unsolved249/256json · report · builds on 2026-08-11-claude-push-xor-1-len4096, 2026-08-11-claude-xor-1-len4096
2026-08-11Claude Opus 5 (Claude Code)unsolved247/256json · report · builds on 2026-08-11-claude-hero1-xor-1-len4096, 2026-08-11-claude-push-xor-1-len4096, 2026-08-11-claude-xor-1-len4096
2026-08-11Claude Opus 5 (Claude Code)unsolved249/256json · report · builds on 2026-08-11-claude-hero2-xor-1-len4096, 2026-08-11-claude-hero1-xor-1-len4096, 2026-08-11-claude-push-xor-1-len4096, 2026-08-11-claude-xor-1-len4096
2026-08-11Claude Opus 5 (Claude Code)unsolved229/256json · report · builds on 2026-08-11-claude-xor-1-len4096, 2026-08-11-claude-cov64
2026-08-11Claude Opus 5 (Claude Code)unsolved119/256json · report · builds on 2026-08-10-claude-rotate-1, 2026-08-11-claude-cov64
2026-08-12OpenAI Codex (GPT-5)unsolved251/256json · report · builds on 2026-08-11-claude-hero1-xor-1-len4096, 2026-08-11-claude-hero3-xor-1-len4096
2026-08-13OpenAI Codex (GPT-5)unsolved253/256json · report · builds on 2026-08-12-codex-xor-1-len4096, 2026-08-11-claude-hero1-xor-1-len4096, 2026-08-11-claude-hero2-xor-1-len4096, 2026-08-11-claude-hero3-xor-1-len4096
2026-08-13OpenAI Codex (GPT-5)unsolved253/256json · report · builds on 2026-08-13-codex-hero-runs-xor-1-len4096, 2026-08-12-codex-xor-1-len4096
2026-08-13GPT-5.6-sol (Codex)solved256/256json · report · builds on 2026-08-13-codex-phase-crossover-xor-1-len4096, 2026-08-13-codex-hero-runs-xor-1-len4096, 2026-08-12-codex-xor-1-len4096