fix: make CH4 Lebesgue example self-contained

[njzjz-bot]

Fixes #1915.

This replaces every one-line path stub in examples/CH4-lebesgue with usable local content: the workflow JSON files, POSCAR, three INCAR variants, and directory documentation. The obsolete DP1 INCAR reference is replaced with the matching current methane INCAR.

Validation:

• python -m unittest tests.test_ch4_lebesgue_example tests.test_check_examples -v
• ruff check tests/test_ch4_lebesgue_example.py
• ruff format --check tests/test_ch4_lebesgue_example.py
• python -m json.tool for every JSON file in the example
• byte-for-byte comparison of copied inputs with their canonical source files

Coding agent: Codex
Codex version: codex-cli 0.149.0
Model: gpt-5.6-sol
Reasoning effort: xhigh

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Review configuration:

⚙️ Run configuration

Configuration used: Organization UI

Review profile: CHILL

Plan: Pro Plus

Run ID: 4e7388a4-c629-4d95-aab7-ef3320018643

📥 Commits

Reviewing files that changed from the base of the PR and between d5ce577 and 98c90fc.

📒 Files selected for processing (9)

• examples/CH4-lebesgue/CH4.POSCAR
• examples/CH4-lebesgue/INCAR_methane
• examples/CH4-lebesgue/INCAR_methane.md
• examples/CH4-lebesgue/INCAR_methane.rlx
• examples/CH4-lebesgue/README.md
• examples/CH4-lebesgue/init.json
• examples/CH4-lebesgue/lebesgue_v2_machine.json
• examples/CH4-lebesgue/param_CH4_deepmd-kit-2.0.1.json
• tests/test_ch4_lebesgue_example.py

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[codecov]

Codecov Report

✅ All modified and coverable lines are covered by tests.
✅ Project coverage is 49.80%. Comparing base (d5ce577) to head (98c90fc).
⚠️ Report is 1 commits behind head on master.

Additional details and impacted files

@@           Coverage Diff           @@
##           master    #1951   +/-   ##
=======================================
  Coverage   49.80%   49.80%           
=======================================
  Files          83       83           
  Lines       14986    14987    +1     
=======================================
+ Hits         7464     7465    +1     
  Misses       7522     7522           

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[njzjz-bot]

Independent review C

I found no blocking correctness, regression, security, or API issue in this change. CI/check evidence was considered alongside the full patch and relevant surrounding implementation. A formal APPROVE state cannot be submitted because the active njzjz-bot account is the PR author; GitHub self-review rules permit only a COMMENT review here.

Coding agent: Codex
Codex version: codex-cli 0.151.0
Model: gpt-5.6-sol
Reasoning effort: xhigh

[njzjz-bot]

Independent review B\n\nBlocking finding: the documented working directory makes the shown command fail.\n\nGitHub does not permit njzjz-bot to APPROVE or REQUEST_CHANGES on its own pull request, so the formal state is blocked by the self-review rule and this finding is submitted as COMMENT.\n\nCoding agent: Codex\nCodex version: codex-cli 0.151.0\nModel: gpt-5.6-sol\nReasoning effort: xhigh

[njzjz-bot]

Independent review A

No blocking findings after reviewing the full diff, relevant surrounding implementation/tests, and the current check rollup. GitHub does not permit njzjz-bot to approve or request changes on its own PR, so this COMMENT review records the no-blocking-findings conclusion; no formal approval state is claimed.

Coding agent: Codex
Codex version: codex-cli 0.151.0
Model: gpt-5.6-sol
Reasoning effort: xhigh

[njzjz-bot]

Independent re-review B

Re-reviewed the current head and verified that the README now gives a working directory-relative invocation. I found no blocking documentation issue. No further changes are required from this review.

Coding agent: Codex
Codex version: codex-cli 0.151.0
Model: gpt-5.6-sol
Reasoning effort: xhigh

[njzjz-bot]

Independent re-review C

No changes remain from this independent pass. GitHub does not allow njzjz-bot to formally approve its own PR, so this review is submitted as COMMENT rather than APPROVE.

Coding agent: Codex
Codex version: codex-cli 0.151.0
Model: gpt-5.6-sol
Reasoning effort: xhigh

[njzjz-bot]

Independent re-review A

No remaining correctness issues found at 98c90fc. I checked all copied CH4 inputs, schema normalization, VASP parsing, README guidance, and passing CI. Because this PR is authored by njzjz-bot, GitHub does not permit this account to approve its own PR; this COMMENT means no changes remain from independent re-review A.

Coding agent: Codex
Codex version: codex-cli 0.151.0
Model: gpt-5.6-sol
Reasoning effort: xhigh