konard · October 27, 2025 01:17
diff --git a/solution-draft-log-pr-1761527859029.txt b/solution-draft-log-pr-1761527859029.txt
 # Solve.mjs Log - 2025-10-27T01:09:59.134Z

 [2025-10-27T01:09:59.138Z] [INFO] 📁 Log file: /home/hive/solve-2025-10-27T01-09-59-133Z.log
 [2025-10-27T01:09:59.143Z] [INFO]    (All output will be logged here)
 [2025-10-27T01:10:00.603Z] [INFO] 
 [2025-10-27T01:10:00.604Z] [INFO] 🚀 solve v0.24.48
 [2025-10-27T01:10:00.606Z] [INFO] 🔧 Raw command executed:
 [2025-10-27T01:10:00.606Z] [INFO]    /home/hive/.nvm/versions/node/v20.19.5/bin/node /home/hive/.bun/bin/solve https://github.com/konard/p-vs-np/issues/328 --model sonnet --tool claude --auto-fork --verbose --attach-logs --skip-tool-check
 [2025-10-27T01:10:00.607Z] [INFO] 
 [2025-10-27T01:10:00.638Z] [INFO] 
 [2025-10-27T01:10:00.640Z] [WARNING] ⚠️  SECURITY WARNING: --attach-logs is ENABLED
 [2025-10-27T01:10:00.642Z] [INFO] 
 [2025-10-27T01:10:00.643Z] [INFO]    This option will upload the complete solution draft log file to the Pull Request.
 [2025-10-27T01:10:00.644Z] [INFO]    The log may contain sensitive information such as:
 [2025-10-27T01:10:00.645Z] [INFO]    • API keys, tokens, or secrets
 [2025-10-27T01:10:00.646Z] [INFO]    • File paths and directory structures
 [2025-10-27T01:10:00.647Z] [INFO]    • Command outputs and error messages
 [2025-10-27T01:10:00.648Z] [INFO]    • Internal system information
 [2025-10-27T01:10:00.648Z] [INFO] 
 [2025-10-27T01:10:00.649Z] [INFO]    ⚠️  DO NOT use this option with public repositories or if the log
 [2025-10-27T01:10:00.650Z] [INFO]        might contain sensitive data that should not be shared publicly.
 [2025-10-27T01:10:00.651Z] [INFO] 
 [2025-10-27T01:10:00.651Z] [INFO]    Continuing in 5 seconds... (Press Ctrl+C to abort)
 [2025-10-27T01:10:00.652Z] [INFO] 
 [2025-10-27T01:10:05.663Z] [INFO] 
 [2025-10-27T01:10:05.752Z] [INFO] 💾 Disk space check: 52460MB available (500MB required) ✅
 [2025-10-27T01:10:05.762Z] [INFO] 🧠 Memory check: 9159MB available, swap: 2047MB (2047MB used), total: 9159MB (256MB required) ✅
 [2025-10-27T01:10:05.764Z] [INFO] ⏩ Skipping tool validation (dry-run mode)
 [2025-10-27T01:10:05.767Z] [INFO] ⏩ Skipping GitHub authentication check (dry-run mode)
 [2025-10-27T01:10:05.769Z] [INFO] 📋 URL validation:
 [2025-10-27T01:10:05.770Z] [INFO]    Input URL: https://github.com/konard/p-vs-np/issues/328
 [2025-10-27T01:10:05.772Z] [INFO]    Is Issue URL: true
 [2025-10-27T01:10:05.773Z] [INFO]    Is PR URL: false
 [2025-10-27T01:10:05.780Z] [INFO] 🔍 Checking repository access for auto-fork...
 [2025-10-27T01:10:06.889Z] [INFO]    Repository visibility: public
 [2025-10-27T01:10:06.891Z] [INFO] ✅ Auto-fork: Write access detected to public repository, working directly on repository
 [2025-10-27T01:10:06.895Z] [INFO] 🔍 Checking repository write permissions...
 [2025-10-27T01:10:07.408Z] [INFO] ✅ Repository write access: Confirmed
 [2025-10-27T01:10:08.016Z] [INFO]    Repository visibility: public
 [2025-10-27T01:10:08.019Z] [INFO]    Auto-cleanup default: false (repository is public)
 [2025-10-27T01:10:08.024Z] [INFO] 📝 Issue mode: Working with issue #328
 [2025-10-27T01:10:08.028Z] [INFO] 
 Creating temporary directory: /tmp/gh-issue-solver-1761527408027
 [2025-10-27T01:10:08.045Z] [INFO] 
 📥 Cloning repository:       konard/p-vs-np
 [2025-10-27T01:10:09.483Z] [INFO] ✅ Cloned to:                /tmp/gh-issue-solver-1761527408027
 [2025-10-27T01:10:09.737Z] [INFO] 
 📌 Default branch:           main
 [2025-10-27T01:10:09.809Z] [INFO] 
 🌿 Creating branch:          issue-328-039f85d0 from main
 [2025-10-27T01:10:09.851Z] [INFO] 🔍 Verifying:                Branch creation...
 [2025-10-27T01:10:09.889Z] [INFO] ✅ Branch created:           issue-328-039f85d0
 [2025-10-27T01:10:09.891Z] [INFO] ✅ Current branch:           issue-328-039f85d0
 [2025-10-27T01:10:09.891Z] [INFO]    Branch operation: Create new branch
 [2025-10-27T01:10:09.892Z] [INFO]    Branch verification: Matches expected
 [2025-10-27T01:10:09.899Z] [INFO] 
 🚀 Auto PR creation:         ENABLED
 [2025-10-27T01:10:09.900Z] [INFO]      Creating:               Initial commit and draft PR...
 [2025-10-27T01:10:09.901Z] [INFO] 
 [2025-10-27T01:10:09.902Z] [INFO] 📝 Creating:                 CLAUDE.md with task details
 [2025-10-27T01:10:09.904Z] [INFO]    CLAUDE.md already exists, appending task info...
 [2025-10-27T01:10:09.907Z] [INFO] ✅ File created:             CLAUDE.md
 [2025-10-27T01:10:09.909Z] [INFO] 📦 Adding file:              To git staging
 [2025-10-27T01:10:09.964Z] [INFO]    Git status after add: M  CLAUDE.md
 [2025-10-27T01:10:09.964Z] [INFO] 📝 Creating commit:          With CLAUDE.md file
 [2025-10-27T01:10:10.012Z] [INFO] ✅ Commit created:           Successfully with CLAUDE.md
 [2025-10-27T01:10:10.013Z] [INFO]    Commit output: [issue-328-039f85d0 97bf179] Initial commit with task details for issue #328
 1 file changed, 8 insertions(+)
 [2025-10-27T01:10:10.046Z] [INFO]    Commit hash: 97bf179...
 [2025-10-27T01:10:10.077Z] [INFO]    Latest commit: 97bf179 Initial commit with task details for issue #328
 [2025-10-27T01:10:10.118Z] [INFO]    Git status: clean
 [2025-10-27T01:10:10.148Z] [INFO]    Remotes: origin	https://github.com/konard/p-vs-np.git (fetch)
 [2025-10-27T01:10:10.188Z] [INFO]    Branch info: * issue-328-039f85d0 97bf179 Initial commit with task details for issue #328
  main               a001509 [origin/main] Merge pull request #40 from konard/issue-6-b5221bed
 [2025-10-27T01:10:10.191Z] [INFO] 📤 Pushing branch:           To remote repository...
 [2025-10-27T01:10:10.193Z] [INFO]    Command: git push -u origin issue-328-039f85d0
 [2025-10-27T01:10:10.194Z] [INFO]    Push command: git push -f -u origin issue-328-039f85d0
 [2025-10-27T01:10:11.502Z] [INFO]    Push exit code: 0
 [2025-10-27T01:10:11.504Z] [INFO]    Push output: remote: 
 remote: Create a pull request for 'issue-328-039f85d0' on GitHub by visiting:        
 remote:      https://github.com/konard/p-vs-np/pull/new/issue-328-039f85d0        
 remote: 
 To https://github.com/konard/p-vs-np.git
 * [new branch]      issue-328-039f85d0 -> issue-328-039f85d0
 branch 'issue-328-039f85d0' set up to track 'origin/issue-328-039f85d0'.
 [2025-10-27T01:10:11.506Z] [INFO] ✅ Branch pushed:            Successfully to remote
 [2025-10-27T01:10:11.507Z] [INFO]    Push output: remote: 
 remote: Create a pull request for 'issue-328-039f85d0' on GitHub by visiting:        
 remote:      https://github.com/konard/p-vs-np/pull/new/issue-328-039f85d0        
 remote: 
 To https://github.com/konard/p-vs-np.git
 * [new branch]      issue-328-039f85d0 -> issue-328-039f85d0
 branch 'issue-328-039f85d0' set up to track 'origin/issue-328-039f85d0'.
 [2025-10-27T01:10:11.508Z] [INFO]    Waiting for GitHub to sync...
 [2025-10-27T01:10:19.985Z] [INFO]    Branch verified on GitHub: issue-328-039f85d0
 [2025-10-27T01:10:20.525Z] [INFO]    Remote commit SHA: 97bf179...
 [2025-10-27T01:10:20.528Z] [INFO] 📋 Getting issue:            Title from GitHub...
 [2025-10-27T01:10:21.087Z] [INFO]    Issue title: "Use https://en.wikipedia.org/wiki/Rocq instead of Coq"
 [2025-10-27T01:10:21.089Z] [INFO] 👤 Getting user:             Current GitHub account...
 [2025-10-27T01:10:21.476Z] [INFO]    Current user: konard
 [2025-10-27T01:10:22.059Z] [INFO]    User has collaborator access
 [2025-10-27T01:10:22.062Z] [INFO]    User has collaborator access
 [2025-10-27T01:10:22.065Z] [INFO] 🔀 Creating PR:              Draft pull request...
 [2025-10-27T01:10:22.067Z] [INFO] 🎯 Target branch:            main (default)
 [2025-10-27T01:10:22.076Z] [INFO]    PR Title: [WIP] Use https://en.wikipedia.org/wiki/Rocq instead of Coq
 [2025-10-27T01:10:22.080Z] [INFO]    Base branch: main
 [2025-10-27T01:10:22.083Z] [INFO]    Head branch: issue-328-039f85d0
 [2025-10-27T01:10:22.085Z] [INFO]    Assignee: konard
 [2025-10-27T01:10:22.088Z] [INFO]    PR Body:
 ## 🤖 AI-Powered Solution Draft

 This pull request is being automatically generated to solve issue #328.

 ### 📋 Issue Reference
 Fixes #328

 ### 🚧 Status
 **Work in Progress** - The AI assistant is currently analyzing and implementing the solution draft.

 ### 📝 Implementation Details
 _Details will be added as the solution draft is developed..._

 ---
 *This PR was created automatically by the AI issue solver*
 [2025-10-27T01:10:22.102Z] [INFO]    Command: cd "/tmp/gh-issue-solver-1761527408027" && gh pr create --draft --title "$(cat '/tmp/pr-title-1761527422099.txt')" --body-file "/tmp/pr-body-1761527422097.md" --base main --head issue-328-039f85d0 --assignee konard
 [2025-10-27T01:10:24.959Z] [INFO] 🔍 Verifying:                PR creation...
 [2025-10-27T01:10:25.373Z] [INFO] ✅ Verification:             PR exists on GitHub
 [2025-10-27T01:10:25.376Z] [INFO] ✅ PR created:               #426
 [2025-10-27T01:10:25.378Z] [INFO] 📍 PR URL:                   https://github.com/konard/p-vs-np/pull/426
 [2025-10-27T01:10:25.379Z] [INFO] 👤 Assigned to:              konard
 [2025-10-27T01:10:25.380Z] [INFO] 🔗 Linking:                  Issue #328 to PR #426...
 [2025-10-27T01:10:25.855Z] [INFO]    Issue node ID: I_kwDOQBQH6M7SWk8M
 [2025-10-27T01:10:26.316Z] [INFO]    PR node ID: PR_kwDOQBQH6M6vx-Hn
 [2025-10-27T01:10:26.751Z] [INFO] ✅ Link verified:            Issue #328 → PR #426
 [2025-10-27T01:10:27.156Z] [INFO]   👤 Current user:           konard
 [2025-10-27T01:10:27.159Z] [INFO] 
 📊 Comment counting conditions:
 [2025-10-27T01:10:27.160Z] [INFO]    prNumber: 426
 [2025-10-27T01:10:27.162Z] [INFO]    branchName: issue-328-039f85d0
 [2025-10-27T01:10:27.162Z] [INFO]    isContinueMode: false
 [2025-10-27T01:10:27.163Z] [INFO]    Will count comments: true
 [2025-10-27T01:10:27.164Z] [INFO] 💬 Counting comments:        Checking for new comments since last commit...
 [2025-10-27T01:10:27.166Z] [INFO]    PR #426 on branch: issue-328-039f85d0
 [2025-10-27T01:10:27.168Z] [INFO]    Owner/Repo: konard/p-vs-np
 [2025-10-27T01:10:27.658Z] [INFO]   📅 Last commit time (from API): 2025-10-27T01:10:09.000Z
 [2025-10-27T01:10:28.911Z] [INFO]   💬 New PR comments:        0
 [2025-10-27T01:10:28.912Z] [INFO]   💬 New issue comments:     0
 [2025-10-27T01:10:28.914Z] [INFO]    Total new comments: 0
 [2025-10-27T01:10:28.915Z] [INFO]    Comment lines to add: No (saving tokens)
 [2025-10-27T01:10:28.916Z] [INFO]    PR review comments fetched: 0
 [2025-10-27T01:10:28.917Z] [INFO]    PR conversation comments fetched: 0
 [2025-10-27T01:10:28.918Z] [INFO]    Total PR comments checked: 0
 [2025-10-27T01:10:28.919Z] [INFO]    No feedback info to add (0 new items, saving tokens)
 [2025-10-27T01:10:28.919Z] [INFO] 📅 Getting timestamps:       From GitHub servers...
 [2025-10-27T01:10:29.395Z] [INFO]   📝 Issue updated:          2025-10-18T19:43:02.000Z
 [2025-10-27T01:10:29.814Z] [INFO]   💬 Comments:               None found
 [2025-10-27T01:10:30.270Z] [INFO]   🔀 Recent PR:              2025-10-27T01:10:23.000Z
 [2025-10-27T01:10:30.272Z] [INFO] 
 ✅ Reference time:           2025-10-27T01:10:23.000Z
 [2025-10-27T01:10:30.275Z] [INFO] 
 🔍 Checking for uncommitted changes to include as feedback...
 [2025-10-27T01:10:30.310Z] [INFO] ✅ No uncommitted changes found
 [2025-10-27T01:10:30.321Z] [INFO] 
 📝 Final prompt structure:
 [2025-10-27T01:10:30.324Z] [INFO]    Characters: 250
 [2025-10-27T01:10:30.327Z] [INFO]    System prompt characters: 8422
 [2025-10-27T01:10:30.336Z] [INFO] 
 🤖 Executing Claude:         SONNET
 [2025-10-27T01:10:30.338Z] [INFO]    Model: sonnet
 [2025-10-27T01:10:30.339Z] [INFO]    Working directory: /tmp/gh-issue-solver-1761527408027
 [2025-10-27T01:10:30.343Z] [INFO]    Branch: issue-328-039f85d0
 [2025-10-27T01:10:30.346Z] [INFO]    Prompt length: 250 chars
 [2025-10-27T01:10:30.354Z] [INFO]    System prompt length: 8422 chars
 [2025-10-27T01:10:30.355Z] [INFO]    Feedback info included: No
 [2025-10-27T01:10:30.422Z] [INFO] 📈 System resources before execution:
 [2025-10-27T01:10:30.424Z] [INFO]    Memory: MemFree:         2446796 kB
 [2025-10-27T01:10:30.425Z] [INFO]    Load: 0.46 0.46 0.44 1/1302 3005793
 [2025-10-27T01:10:30.427Z] [INFO] 
 📝 Raw command:              
 [2025-10-27T01:10:30.428Z] [INFO] (cd "/tmp/gh-issue-solver-1761527408027" && claude --output-format stream-json --verbose --dangerously-skip-permissions --model claude-sonnet-4-5-20250929 -p "Issue to solve: https://github.com/konard/p-vs-np/issues/328
 Your prepared branch: issue-328-039f85d0
 Your prepared working directory: /tmp/gh-issue-solver-1761527408027
 Your prepared Pull Request: https://github.com/konard/p-vs-np/pull/426

 Proceed." --append-system-prompt "You are an AI issue solver. You prefer to find the root cause of each and every issue. When you talk, you prefer to speak with facts which you have double-checked yourself or cite sources that provide evidence, like quote actual code or give references to documents or pages found on the internet. You are polite and patient, and prefer to assume good intent, trying your best to be helpful. If you are unsure or have assumptions, you prefer to test them yourself or ask questions to clarify requirements.

 General guidelines.
   - When you execute commands, always save their logs to files for easier reading if the output becomes large.
   - When running commands, do not set a timeout yourself — let them run as long as needed (default timeout - 2 minutes is more than enough), and once they finish, review the logs in the file.
   - When running sudo commands (especially package installations like apt-get, yum, npm install, etc.), always run them in the background to avoid timeout issues and permission errors when the process needs to be killed. Use the run_in_background parameter or append & to the command.
   - When CI is failing or user reports failures, consider adding a detailed investigation protocol to your todo list with these steps:
      Step 1: List recent runs with timestamps using: gh run list --repo konard/p-vs-np --branch issue-328-039f85d0 --limit 5 --json databaseId,conclusion,createdAt,headSha
      Step 2: Verify runs are after the latest commit by checking timestamps and SHA
      Step 3: For each non-passing run, download logs to preserve them: gh run view {run-id} --repo konard/p-vs-np --log > ci-logs/{workflow}-{run-id}.log
      Step 4: Read each downloaded log file using Read tool to understand the actual failures
      Step 5: Report findings with specific errors and line numbers from logs
      This detailed investigation is especially helpful when user mentions CI failures, asks to investigate logs, you see non-passing status, or when finalizing a PR.
      Note: If user says \"failing\" but tools show \"passing\", this might indicate stale data - consider downloading fresh logs and checking timestamps to resolve the discrepancy.
   - When a code or log file has more than 1500 lines, read it in chunks of 1500 lines.
   - When facing a complex problem, do as much tracing as possible and turn on all verbose modes.
   - When you create debug, test, or example/experiment scripts for fixing, always keep them in an examples and/or experiments folders so you can reuse them later.
   - When testing your assumptions, use the experiment scripts, and add it to experiments folder.
   - When your experiments can show real world use case of the software, add it to examples folder.
   - When you face something extremely hard, use divide and conquer — it always helps.

 Initial research.
   - When you start, make sure you create detailed plan for yourself and follow your todo list step by step, make sure that as many points from these guidelines are added to your todo list to keep track of everything that can help you solve the issue with highest possible quality.
   - When user mentions CI failures or asks to investigate logs, consider adding these todos to track the investigation: (1) List recent CI runs with timestamps, (2) Download logs from failed runs to ci-logs/ directory, (3) Analyze error messages and identify root cause, (4) Implement fix, (5) Verify fix resolves the specific errors found in logs.
   - When you read issue, read all details and comments thoroughly.
   - When you see screenshots or images in issue descriptions, pull request descriptions, comments, or discussions, use WebFetch tool (or fetch tool) to download the image first, then use Read tool to view and analyze it.
   - When you need issue details, use gh issue view https://github.com/konard/p-vs-np/issues/328.
   - When you need related code, use gh search code --owner konard [keywords].
   - When you need repo context, read files in your working directory.
   - When you study related work, study the most recent related pull requests.
   - When issue is not defined enough, write a comment to ask clarifying questions.
   - When accessing GitHub Gists (especially private ones), use gh gist view command instead of direct URL fetching to ensure proper authentication.
   - When you are fixing a bug, please make sure you first find the actual root cause, do as many experiments as needed.
   - When you are fixing a bug and code does not have enough tracing/logs, add them and make sure they stay in the code, but are switched off by default.
   - When you need latest comments on pull request (sorted newest first), use appropriate GitHub API commands.
   - When you need latest comments on issue (sorted newest first), use appropriate GitHub API commands.

 Solution development and testing.
   - When issue is solvable, implement code with tests.
   - When coding, each atomic step that can be useful by itself should be commited to the pull request's branch, meaning if work will be interrupted by any reason parts of solution will still be kept intact and safe in pull request.
   - When you test:
      start from testing of small functions using separate scripts;
      write unit tests with mocks for easy and quick start.
   - When you test integrations, use existing framework.
   - When you test solution draft, include automated checks in pr.
   - When issue is unclear, write comment on issue asking questions.
   - When you encounter any problems that you unable to solve yourself (any human feedback or help), write a comment to the pull request asking for help.
   - When you need human help, use gh pr comment 426 --body \"your message\" to comment on existing PR.

 Preparing pull request.
   - When you code, follow contributing guidelines.
   - When you commit, write clear message.
   - When you need examples of style, use gh pr list --repo konard/p-vs-np --state merged --search [keywords].
   - When you open pr, describe solution draft and include tests.
   - When there is a package with version and GitHub Actions workflows for automatic release, update the version (or other necessary release trigger) in your pull request to prepare for next release.
   - When you update existing pr 426, use gh pr edit to modify title and description.
   - When you are about to commit or push code, ALWAYS run local CI checks first if they are available in contributing guidelines (like ruff check, mypy, eslint, etc.) to catch errors before pushing.
   - When you finalize the pull request:
      follow style from merged prs for code, title, and description,
      make sure no uncommitted changes corresponding to the original requirements are left behind,
      make sure the default branch is merged to the pull request's branch,
      make sure all CI checks passing if they exist before you finish,
      double-check that all changes in the pull request answer to original requirements of the issue,
      make sure no new new bugs are introduced in pull request by carefully reading gh pr diff,
      make sure no previously existing features were removed without an explicit request from users via the issue description, issue comments, and/or pull request comments.
   - When you finish implementation, use gh pr ready 426.

 Workflow and collaboration.
   - When you check branch, verify with git branch --show-current.
   - When you push, push only to branch issue-328-039f85d0.
   - When you finish, create a pull request from branch issue-328-039f85d0. (Note: PR 426 already exists, update it instead)
   - When you organize workflow, use pull requests instead of direct merges to default branch (main or master).
   - When you manage commits, preserve commit history for later analysis.
   - When you contribute, keep repository history forward-moving with regular commits, pushes, and reverts if needed.
   - When you face conflict that you cannot resolve yourself, ask for help.
   - When you collaborate, respect branch protections by working only on issue-328-039f85d0.
   - When you mention result, include pull request url or comment url.
   - When you need to create pr, remember pr 426 already exists for this branch.

 Self review.
   - When you check your solution draft, run all tests locally.
   - When you compare with repo style, use gh pr diff [number].
   - When you finalize, confirm code, tests, and description are consistent." | jq -c .)
 [2025-10-27T01:10:30.431Z] [INFO] 
 [2025-10-27T01:10:30.432Z] [INFO] 📋 User prompt:
 [2025-10-27T01:10:30.435Z] [INFO] ---BEGIN USER PROMPT---
 [2025-10-27T01:10:30.437Z] [INFO] Issue to solve: https://github.com/konard/p-vs-np/issues/328
 Your prepared branch: issue-328-039f85d0
 Your prepared working directory: /tmp/gh-issue-solver-1761527408027
 Your prepared Pull Request: https://github.com/konard/p-vs-np/pull/426

 Proceed.
 [2025-10-27T01:10:30.440Z] [INFO] ---END USER PROMPT---
 [2025-10-27T01:10:30.445Z] [INFO] 
 [2025-10-27T01:10:30.448Z] [INFO] 📋 System prompt:
 [2025-10-27T01:10:30.450Z] [INFO] ---BEGIN SYSTEM PROMPT---
 [2025-10-27T01:10:30.450Z] [INFO] You are an AI issue solver. You prefer to find the root cause of each and every issue. When you talk, you prefer to speak with facts which you have double-checked yourself or cite sources that provide evidence, like quote actual code or give references to documents or pages found on the internet. You are polite and patient, and prefer to assume good intent, trying your best to be helpful. If you are unsure or have assumptions, you prefer to test them yourself or ask questions to clarify requirements.

 General guidelines.
   - When you execute commands, always save their logs to files for easier reading if the output becomes large.
   - When running commands, do not set a timeout yourself — let them run as long as needed (default timeout - 2 minutes is more than enough), and once they finish, review the logs in the file.
   - When running sudo commands (especially package installations like apt-get, yum, npm install, etc.), always run them in the background to avoid timeout issues and permission errors when the process needs to be killed. Use the run_in_background parameter or append & to the command.
   - When CI is failing or user reports failures, consider adding a detailed investigation protocol to your todo list with these steps:
      Step 1: List recent runs with timestamps using: gh run list --repo konard/p-vs-np --branch issue-328-039f85d0 --limit 5 --json databaseId,conclusion,createdAt,headSha
      Step 2: Verify runs are after the latest commit by checking timestamps and SHA
      Step 3: For each non-passing run, download logs to preserve them: gh run view {run-id} --repo konard/p-vs-np --log > ci-logs/{workflow}-{run-id}.log
      Step 4: Read each downloaded log file using Read tool to understand the actual failures
      Step 5: Report findings with specific errors and line numbers from logs
      This detailed investigation is especially helpful when user mentions CI failures, asks to investigate logs, you see non-passing status, or when finalizing a PR.
      Note: If user says "failing" but tools show "passing", this might indicate stale data - consider downloading fresh logs and checking timestamps to resolve the discrepancy.
   - When a code or log file has more than 1500 lines, read it in chunks of 1500 lines.
   - When facing a complex problem, do as much tracing as possible and turn on all verbose modes.
   - When you create debug, test, or example/experiment scripts for fixing, always keep them in an examples and/or experiments folders so you can reuse them later.
   - When testing your assumptions, use the experiment scripts, and add it to experiments folder.
   - When your experiments can show real world use case of the software, add it to examples folder.
   - When you face something extremely hard, use divide and conquer — it always helps.

 Initial research.
   - When you start, make sure you create detailed plan for yourself and follow your todo list step by step, make sure that as many points from these guidelines are added to your todo list to keep track of everything that can help you solve the issue with highest possible quality.
   - When user mentions CI failures or asks to investigate logs, consider adding these todos to track the investigation: (1) List recent CI runs with timestamps, (2) Download logs from failed runs to ci-logs/ directory, (3) Analyze error messages and identify root cause, (4) Implement fix, (5) Verify fix resolves the specific errors found in logs.
   - When you read issue, read all details and comments thoroughly.
   - When you see screenshots or images in issue descriptions, pull request descriptions, comments, or discussions, use WebFetch tool (or fetch tool) to download the image first, then use Read tool to view and analyze it.
   - When you need issue details, use gh issue view https://github.com/konard/p-vs-np/issues/328.
   - When you need related code, use gh search code --owner konard [keywords].
   - When you need repo context, read files in your working directory.
   - When you study related work, study the most recent related pull requests.
   - When issue is not defined enough, write a comment to ask clarifying questions.
   - When accessing GitHub Gists (especially private ones), use gh gist view command instead of direct URL fetching to ensure proper authentication.
   - When you are fixing a bug, please make sure you first find the actual root cause, do as many experiments as needed.
   - When you are fixing a bug and code does not have enough tracing/logs, add them and make sure they stay in the code, but are switched off by default.
   - When you need latest comments on pull request (sorted newest first), use appropriate GitHub API commands.
   - When you need latest comments on issue (sorted newest first), use appropriate GitHub API commands.

 Solution development and testing.
   - When issue is solvable, implement code with tests.
   - When coding, each atomic step that can be useful by itself should be commited to the pull request's branch, meaning if work will be interrupted by any reason parts of solution will still be kept intact and safe in pull request.
   - When you test:
      start from testing of small functions using separate scripts;
      write unit tests with mocks for easy and quick start.
   - When you test integrations, use existing framework.
   - When you test solution draft, include automated checks in pr.
   - When issue is unclear, write comment on issue asking questions.
   - When you encounter any problems that you unable to solve yourself (any human feedback or help), write a comment to the pull request asking for help.
   - When you need human help, use gh pr comment 426 --body "your message" to comment on existing PR.

 Preparing pull request.
   - When you code, follow contributing guidelines.
   - When you commit, write clear message.
   - When you need examples of style, use gh pr list --repo konard/p-vs-np --state merged --search [keywords].
   - When you open pr, describe solution draft and include tests.
   - When there is a package with version and GitHub Actions workflows for automatic release, update the version (or other necessary release trigger) in your pull request to prepare for next release.
   - When you update existing pr 426, use gh pr edit to modify title and description.
   - When you are about to commit or push code, ALWAYS run local CI checks first if they are available in contributing guidelines (like ruff check, mypy, eslint, etc.) to catch errors before pushing.
   - When you finalize the pull request:
      follow style from merged prs for code, title, and description,
      make sure no uncommitted changes corresponding to the original requirements are left behind,
      make sure the default branch is merged to the pull request's branch,
      make sure all CI checks passing if they exist before you finish,
      double-check that all changes in the pull request answer to original requirements of the issue,
      make sure no new new bugs are introduced in pull request by carefully reading gh pr diff,
      make sure no previously existing features were removed without an explicit request from users via the issue description, issue comments, and/or pull request comments.
   - When you finish implementation, use gh pr ready 426.

 Workflow and collaboration.
   - When you check branch, verify with git branch --show-current.
   - When you push, push only to branch issue-328-039f85d0.
   - When you finish, create a pull request from branch issue-328-039f85d0. (Note: PR 426 already exists, update it instead)
   - When you organize workflow, use pull requests instead of direct merges to default branch (main or master).
   - When you manage commits, preserve commit history for later analysis.
   - When you contribute, keep repository history forward-moving with regular commits, pushes, and reverts if needed.
   - When you face conflict that you cannot resolve yourself, ask for help.
   - When you collaborate, respect branch protections by working only on issue-328-039f85d0.
   - When you mention result, include pull request url or comment url.
   - When you need to create pr, remember pr 426 already exists for this branch.

 Self review.
   - When you check your solution draft, run all tests locally.
   - When you compare with repo style, use gh pr diff [number].
   - When you finalize, confirm code, tests, and description are consistent.
 [2025-10-27T01:10:30.451Z] [INFO] ---END SYSTEM PROMPT---
 [2025-10-27T01:10:30.452Z] [INFO] 
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 [2025-10-27T01:10:30.456Z] [INFO]   🤖 Model:                  Claude SONNET
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 [2025-10-27T01:11:05.985Z] [INFO] {"type":"user","message":{"role":"user","content":[{"tool_use_id":"toolu_01E3d5kkramESX6pnWUTZ6pT","type":"tool_result","content":"     1→# P vs NP: Educational Research Repository\n     2→\n     3→**An Educational Resource for Researchers and Students**\n     4→\n     5→*Last Updated: October 2025*\n     6→\n     7→This repository contains extensive educational documentation for studying the P versus NP problem, one of the seven Clay Mathematics Institute Millennium Prize Problems.\n     8→\n     9→## Overview\n    10→\n    11→The P versus NP problem asks whether every problem whose solution can be quickly verified (NP) can also be quickly solved (P). This is one of the most important open questions in mathematics and computer science, with a $1 million prize for its resolution.\n    12→\n    13→## Repository Contents\n    14→\n    15→### 📘 Core Documentation\n    16→\n    17→1. **[P_VS_NP_TASK_DESCRIPTION.md](P_VS_NP_TASK_DESCRIPTION.md)** - Comprehensive, scientifically rigorous description of the P vs NP problem\n    18→   - Formal problem statement and definitions\n    19→   - Historical context and importance\n    20→   - NP-completeness theory\n    21→   - Current state of knowledge\n    22→   - Proof approaches and techniques\n    23→   - Related complexity classes\n    24→   - Practical implications\n    25→\n    26→2. **[TOOLS_AND_METHODOLOGIES.md](TOOLS_AND_METHODOLOGIES.md)** - Complete catalog of tools, techniques, and resources\n    27→   - Theoretical foundations and computational models\n    28→   - Mathematical tools (combinatorics, algebra, logic, probability)\n    29→   - Proof techniques (diagonalization, circuit lower bounds, barriers)\n    30→   - Computational tools (SAT solvers, proof assistants, symbolic computation)\n    31→   - Research methodologies\n    32→   - Specific research programs (GCT, proof complexity, derandomization)\n    33→\n    34→3. **[DETAILED_SOLUTION_PLAN.md](DETAILED_SOLUTION_PLAN.md)** - Multi-phase research plan for approaching the problem\n    35→   - Phase 1: Foundation building (6 months)\n    36→   - Phase 2: Specialization and deep dive (6 months)\n    37→   - Phase 3: Original research (12+ months)\n    38→   - Phase 4: Advanced research directions\n    39→   - Specific tactics and best practices\n    40→   - Milestones and evaluation criteria\n    41→\n    42→4. **[SOLUTION_STRATEGIES.md](SOLUTION_STRATEGIES.md)** - Comprehensive catalog of 17 solution strategies for formal testing and progress on P vs NP\n    43→   - Formal verification frameworks (6 strategies)\n    44→   - Barrier-aware approaches (3 strategies)\n    45→   - Incremental progress strategies (6 strategies)\n    46→   - Novel and interdisciplinary approaches (5 strategies)\n    47→   - Strategy integration matrix and implementation priorities\n    48→   - Recommended roadmap with realistic timelines and success metrics\n    49→\n    50→5. **[SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md](SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md)** - Comprehensive catalog of formal solution strategies\n    51→   - Direct classical logic approaches (law of excluded middle, proof by contradiction)\n    52→   - Constructive and intuitionistic approaches (proof search, realizability)\n    53→   - Model-theoretic strategies (standard models, forcing, independence)\n    54→   - Proof-theoretic strategies (provability, Gödel's theorems, reverse mathematics)\n    55→   - Computational logic approaches (ATP, SAT/SMT solving, proof assistants)\n    56→   - Meta-mathematical strategies (arithmetical hierarchy, definability, category theory)\n    57→   - Formalization strategies (multi-proof-assistant verification, modular design)\n    58→   - Indirect approaches via related problems\n    59→   - Hybrid and interdisciplinary strategies\n    60→   - Implementation roadmap with concrete milestones\n    61→\n    62→6. **[P_NOT_EQUAL_NP_SOLUTION_STRATEGIES.md](P_NOT_EQUAL_NP_SOLUTION_STRATEGIES.md)** - Comprehensive list of potential solution strategies for proving P ≠ NP\n    63→   - Circuit complexity approaches (general circuits, monotone, bounded-depth, arithmetic)\n    64→   - Algebraic methods (GCT, Valiant's model, algebraic independence)\n    65→   - Algorithm-to-lower-bound techniques (Williams' framework, SAT algorithms)\n    66→   - Proof complexity approaches (super-polynomial proofs, resolution, algebraic systems)\n    67→   - Communication complexity methods\n    68→   - Derandomization and pseudorandomness connections\n    69→   - Structural and indirect approaches\n    70→   - Novel interdisciplinary methods (quantum, statistical physics, topology)\n    71→   - Meta-complexity and conditional results\n    72→   - Restricted models and special cases\n    73→\n    74→7. **[P_VS_NP_INDEPENDENCE_STRATEGIES.md](P_VS_NP_INDEPENDENCE_STRATEGIES.md)** - Solution strategies for testing P vs NP independence\n    75→   - Theoretical foundations of independence and undecidability\n    76→   - 30+ strategies across 6 major categories (logical, proof-theoretic, algorithmic, empirical, interdisciplinary, hybrid)\n    77→   - Analysis of Shoenfield absoluteness and its implications\n    78→   - Practical research plans and formalization approaches\n    79→   - Realistic assessments and expected outcomes\n    80→   - Comprehensive references for logic, set theory, and complexity theory\n    81→\n    82→### 📄 Reference Materials\n    83→\n    84→- **[pvsnp.pdf](pvsnp.pdf)** - Official problem description by Stephen Cook from Clay Mathematics Institute\n    85→\n    86→### 🔬 Formal Verification\n    87→\n    88→The repository includes formal verification frameworks in multiple proof assistants (Lean 4, Coq, Isabelle/HOL, and Agda) organized into the following categories:\n    89→\n    90→#### Tutorial Proofs for Learning Proof Assistants (`proofs/basic/`)\n    91→Bootstrap proof files demonstrating foundational formal verification concepts and serving as templates:\n    92→- **[proofs/basic/lean/Basic.lean](proofs/basic/lean/Basic.lean)** - Lean 4 foundational proofs\n    93→- **[proofs/basic/coq/Basic.v](proofs/basic/coq/Basic.v)** - Coq foundational proofs\n    94→- **[proofs/basic/isabelle/Basic.thy](proofs/basic/isabelle/Basic.thy)** - Isabelle/HOL foundational proofs\n    95→- **[proofs/basic/agda/Basic.agda](proofs/basic/agda/Basic.agda)** - Agda foundational proofs\n    96→\n    97→These files serve as tutorials for researchers learning to use proof assistants and provide CI validation that the formal verification infrastructure is working correctly.\n    98→\n    99→#### Advanced Proof Frameworks for P vs NP\n   100→The repository contains four distinct proof frameworks exploring different aspects of the P vs NP problem:\n   101→\n   102→1. **[P = NP Formalization](proofs/p_eq_np/)** (`proofs/p_eq_np/`)\n   103→   - Framework for verifying hypothetical proofs that P equals NP\n   104→   - Implements four test methods for validating P = NP claims\n   105→   - Available in Lean, Coq, and Isabelle/HOL\n   106→\n   107→2. **[P ≠ NP Formalization](proofs/p_not_equal_np/)** (`proofs/p_not_equal_np/`)\n   108→   - Framework for verifying proofs that P does not equal NP\n   109→   - See [detailed documentation](proofs/p_not_equal_np/README.md)\n   110→   - Includes four mathematically equivalent test methods\n   111→   - Available in Lean, Coq, Isabelle/HOL, and Agda\n   112→\n   113→3. **[Classical Tautology: (P = NP) ∨ (P ≠ NP)](proofs/p_vs_np_decidable/)** (`proofs/p_vs_np_decidable/`)\n   114→   - Formalizes that P vs NP has a definite answer in classical logic via law of excluded middle\n   115→   - See [detailed documentation](proofs/p_vs_np_decidable/README.md)\n   116→   - **Note:** This is NOT \"decidability\" in the algorithmic sense, but the classical tautology that (P=NP) ∨ (P≠NP) holds\n   117→   - Available in Lean, Coq, Isabelle/HOL, and Agda\n   118→\n   119→4. **[Possible Independence from ZFC](proofs/p_vs_np_undecidable/)** (`proofs/p_vs_np_undecidable/`)\n   120→   - Framework for reasoning about potential independence from ZFC (meta-mathematical exploration)\n   121→   - See [detailed documentation](proofs/p_vs_np_undecidable/README.md)\n   122→   - Explores whether P vs NP could be independent of standard axiom systems\n   123→   - Available in Lean, Coq, Isabelle/HOL, and Agda\n   124→\n   125→All proof files are automatically verified by GitHub Actions workflows to ensure correctness. [![Formal Verification Suite](https://github.com/konard/p-vs-np/actions/workflows/verification.yml/badge.svg)](https://github.com/konard/p-vs-np/actions/workflows/verification.yml)\n   126→\n   127→## Key Highlights\n   128→\n   129→### Problem Significance\n   130→\n   131→- **Cryptography:** Many cryptographic schemes rely on *average-case* hardness of specific problems (factoring, discrete logarithm, lattice problems). A constructive proof that **P = NP** with practical algorithms would break most standard public-key cryptosystems, but **P ≠ NP** alone does not guarantee the existence of one-way functions or secure cryptography. **Note on one-way functions (OWFs):** Existence of OWFs would imply P ≠ NP, but P ≠ NP alone does **not** imply OWFs exist—the converse direction is unknown. This is because P ≠ NP only establishes worst-case hardness for some problems, while cryptography requires average-case hardness.\n   132→- **Optimization:** Thousands of real-world problems are NP-complete\n   133→- **Mathematics:** P = NP would enable automated theorem proving\n   134→- **Artificial Intelligence:** Impacts machine learning and automated reasoning\n   135→\n   136→### Current Consensus\n   137→\n   138→- **Most Believed:** P ≠ NP (problems exist that can be verified but not efficiently solved)\n   139→- **Major Barriers:**\n   140→  - **Relativization** ([Baker, Gill, Solovay, 1975](https://doi.org/10.1137/0204037)): Techniques that work in all oracle worlds cannot resolve P vs NP\n   141→  - **Natural Proof
 [2025-10-27T01:11:06.004Z] [INFO] s** ([Razborov, Rudich, 1997](https://doi.org/10.1006/jcss.1997.1494)): Under cryptographic assumptions, \"natural\" techniques cannot prove super-polynomial circuit lower bounds\n   142→  - **Algebrization** ([Aaronson, Wigderson, 2008](https://doi.org/10.1145/1536414.1536451)): Extends relativization and arithmetization barriers, showing further limitations\n   143→- **Best Known Algorithms:**\n   144→  - **2-SAT:** O(n + m) via implication graph + strongly connected components ([Aspvall, Plass, Tarjan, 1979](https://doi.org/10.1016/0020-0190(79)90002-4))\n   145→  - **3-SAT:** ~O(1.306973^n) ([PPSZ improvements](https://epubs.siam.org/doi/10.1137/130919876); carries from Unique-3-SAT to general 3-SAT per [Hertli 2014](https://epubs.siam.org/doi/10.1137/130919876))\n   146→  - **k-SAT (k≥4):** Base depends on k (PPSZ variants)\n   147→  - **General CNF-SAT:** Bounds depend on clause structure\n   148→- **Best Lower Bounds:**\n   149→  - **General circuits (full binary basis):** ~3.1·n − o(n) gates for explicit functions (Li & Yang, STOC 2022)\n   150→    - Prior record: (3 + 1/86)·n − o(n) (Golovnev, Kulikov, Williams et al., FOCS 2016)\n   151→  - **Restricted models:** Exponential bounds for monotone circuits, AC⁰, etc.\n   152→  - Still far from the super-polynomial bounds needed for P ≠ NP\n   153→\n   154→### Notable Results\n   155→\n   156→- **1971:** Cook proves SAT is NP-complete\n   157→- **1972:** Karp identifies 21 NP-complete problems\n   158→- **1985:** Razborov proves exponential monotone circuit lower bounds\n   159→- **1997:** Razborov-Rudich identify Natural Proofs barrier\n   160→- **2011:** Williams proves NEXP ⊄ ACC⁰ ([Williams 2011](https://arxiv.org/abs/1111.1261)) - major non-relativizing result using algorithm-to-lower-bound connection\n   161→- **2024:** Continued research with novel approaches (thermodynamic perspectives)\n   162→- **2025:** Advances in circuit lower bounds, including:\n   163→  - Superpolynomial lower bounds against constant-depth algebraic circuits (Limaye-Srinivasan-Tavenas, J. ACM 2025)\n   164→  - Quantum circuit lower bounds in the magic hierarchy, showing state preparation limits (Parham 2025, [arXiv:2504.19966](https://arxiv.org/abs/2504.19966))\n   165→\n   166→## Getting Started\n   167→\n   168→### For Researchers\n   169→\n   170→1. Read [P_VS_NP_TASK_DESCRIPTION.md](P_VS_NP_TASK_DESCRIPTION.md) for comprehensive background\n   171→2. Study [TOOLS_AND_METHODOLOGIES.md](TOOLS_AND_METHODOLOGIES.md) to understand available techniques\n   172→3. Follow [DETAILED_SOLUTION_PLAN.md](DETAILED_SOLUTION_PLAN.md) for structured research approach\n   173→\n   174→### Recommended Prerequisites\n   175→\n   176→- Strong background in theoretical computer science\n   177→- Understanding of algorithms and data structures\n   178→- Mathematical maturity (discrete math, logic, algebra)\n   179→- Familiarity with complexity theory basics\n   180→\n   181→### Essential Resources\n   182→\n   183→**Textbooks:**\n   184→- Arora & Barak: \"Computational Complexity: A Modern Approach\"\n   185→- Sipser: \"Introduction to the Theory of Computation\"\n   186→- Papadimitriou: \"Computational Complexity\"\n   187→\n   188→**Conferences:**\n   189→- STOC (Symposium on Theory of Computing)\n   190→- FOCS (Foundations of Computer Science)\n   191→- CCC (Computational Complexity Conference)\n   192→\n   193→## Warning\n   194→\n   195→The P vs NP problem has resisted 50+ years of attempts by brilliant researchers. Many false proofs have been proposed. Any attempt to solve this problem should:\n   196→\n   197→- Account for known barriers (relativization, natural proofs)\n   198→- Use rigorous formal proofs\n   199→- Seek extensive peer review\n   200→- Be prepared for long-term effort\n   201→- Consider working on related, more tractable problems first\n   202→\n   203→## Contributing\n   204→\n   205→This is a research repository. Contributions welcome:\n   206→- Additional references and resources\n   207→- Updates on recent results\n   208→- Corrections or clarifications\n   209→- Alternative perspectives and approaches\n   210→\n   211→## License\n   212→\n   213→The Unlicense - See [LICENSE](LICENSE)\n   214→\n   215→## References\n   216→\n   217→- Clay Mathematics Institute: https://www.claymath.org/millennium/p-vs-np/\n   218→- Official Problem Statement PDF: https://www.claymath.org/wp-content/uploads/2022/06/pvsnp.pdf\n   219→- Complexity Zoo: https://complexityzoo.net/\n   220→- ECCC (Electronic Colloquium on Computational Complexity): https://eccc.weizmann.ac.il/\n   221→\n   222→## Acknowledgments\n   223→\n   224→Based on Stephen Cook's official problem description and extensive research in computational complexity theory spanning five decades of work by the theoretical computer science community.\n   225→\n   226→## Documentation Navigation\n   227→\n   228→### Core Documentation\n   229→- [README.md](README.md) - This file (repository overview)\n   230→- [P_VS_NP_TASK_DESCRIPTION.md](P_VS_NP_TASK_DESCRIPTION.md) - Comprehensive problem description\n   231→- [TOOLS_AND_METHODOLOGIES.md](TOOLS_AND_METHODOLOGIES.md) - Tools, techniques, and resources\n   232→- [DETAILED_SOLUTION_PLAN.md](DETAILED_SOLUTION_PLAN.md) - Multi-phase research plan\n   233→- [SOLUTION_STRATEGIES.md](SOLUTION_STRATEGIES.md) - Catalog of 17 solution strategies for formal testing\n   234→- [SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md](SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md) - Solution strategies for decidability testing\n   235→- [P_NOT_EQUAL_NP_SOLUTION_STRATEGIES.md](P_NOT_EQUAL_NP_SOLUTION_STRATEGIES.md) - Catalog of solution strategies for P ≠ NP\n   236→- [P_VS_NP_INDEPENDENCE_STRATEGIES.md](P_VS_NP_INDEPENDENCE_STRATEGIES.md) - Solution strategies for testing independence\n   237→\n   238→### Formal Verification Documentation\n   239→- [Basic Proofs](proofs/basic/) - Foundational proofs in multiple proof assistants\n   240→- [P = NP Framework](proofs/p_eq_np/) - Framework for verifying P = NP proofs\n   241→- [P ≠ NP Framework](proofs/p_not_equal_np/README.md) - Framework for verifying P ≠ NP proofs\n   242→- [Classical Tautology](proofs/p_vs_np_decidable/README.md) - Formalization that (P=NP) ∨ (P≠NP) holds in classical logic\n   243→- [Possible Independence from ZFC](proofs/p_vs_np_undecidable/README.md) - Framework for meta-mathematical independence reasoning\n   244→\n   245→All documents are interlinked - you can navigate between them using hyperlinks within each file.\n   246→\n   247→---\n   248→\n   249→**Important Notes:**\n   250→- This repository provides educational and research materials for studying complexity theory and the P vs NP problem.\n   251→- The goal is to advance understanding, develop research skills, and contribute to complexity theory—not to claim a solution to P vs NP on a fixed timeline.\n   252→- Resolving P vs NP likely requires fundamentally new mathematical insights beyond currently known techniques.\n   253→- Any claimed proof must address known barriers (relativization, natural proofs, algebrization) and undergo rigorous peer review.\n   254→\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"}]},"parent_tool_use_id":null,"session_id":"a5e89bf6-e116-4d17-b4d2-802a38f82338","uuid":"c3c87948-2222-4645-81fc-7bd9109d4f53"}
 [2025-10-27T01:11:06.010Z] [INFO] {
  "type": "user",
  "message": {
    "role": "user",
    "content": [
      {
        "tool_use_id": "toolu_01NcpU8CsYQ9rRcpEHGNHrNP",
        "type": "tool_result",
        "content": "/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES.md:46:- Implement in Lean 4, Coq, Isabelle/HOL, and Agda\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES.md:65:- Implemented: `proofs/p_not_equal_np/lean/`, `coq/`, `isabelle/`, `agda/`\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES.md:96:- Implemented: `proofs/p_vs_np_decidable/lean/`, `coq/`, `isabelle/`, `agda/`\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES.md:127:- Implemented: `proofs/p_vs_np_undecidable/lean/`, `coq/`, `isabelle/`, `agda/`\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES.md:892:- Lean Zulip, Coq Discourse\n/tmp/gh-issue-solver-1761527408027/TOOLS_AND_METHODOLOGIES.md:449:2. **Coq** ([proofs/Basic.v](proofs/Basic.v))\n/tmp/gh-issue-solver-1761527408027/TOOLS_AND_METHODOLOGIES.md:482:- Four-color theorem ([Gonthier 2008](https://doi.org/10.1090/S0002-9904-2008-01217-9), Coq)\n/tmp/gh-issue-solver-1761527408027/TOOLS_AND_METHODOLOGIES.md:484:- Odd order theorem ([Gonthier et al. 2013](https://doi.org/10.1007/978-3-642-39634-2_14), Coq/MathComp)\n/tmp/gh-issue-solver-1761527408027/proofs/basic/coq/Basic.v:2:  Basic.v - Simple foundational proofs in Coq\n/tmp/gh-issue-solver-1761527408027/proofs/basic/coq/Basic.v:4:  This file serves as a bootstrap for formal verification in Coq,\n/tmp/gh-issue-solver-1761527408027/proofs/basic/coq/Basic.v:9:Require Import Coq.Arith.Arith.\n/tmp/gh-issue-solver-1761527408027/proofs/basic/coq/Basic.v:10:Require Import Coq.Lists.List.\n/tmp/gh-issue-solver-1761527408027/proofs/basic/coq/Basic.v:131:(** All basic Coq proofs verified successfully *)\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/coq/PNotEqualNP.v:9:Require Import Coq.Strings.String.\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/coq/PNotEqualNP.v:10:Require Import Coq.Init.Nat.\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/coq/PNotEqualNP.v:11:Require Import Coq.Sets.Ensembles.\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/coq/PNotEqualNP.v:12:Require Import Coq.Logic.Classical_Prop.\n/tmp/gh-issue-solver-1761527408027/proofs/experiments/coq/PvsNPProofAttempt.v:12:Require Import Coq.Init.Nat.\n/tmp/gh-issue-solver-1761527408027/proofs/experiments/coq/PvsNPProofAttempt.v:13:Require Import Coq.Arith.PeanoNat.\n/tmp/gh-issue-solver-1761527408027/proofs/experiments/coq/PvsNPProofAttempt.v:14:Require Import Coq.Logic.Classical_Prop.\n/tmp/gh-issue-solver-1761527408027/proofs/experiments/coq/PvsNPProofAttempt.v:15:Require Import Coq.Lists.List.\n/tmp/gh-issue-solver-1761527408027/proofs/experiments/coq/PvsNPProofAttempt.v:16:Require Import Coq.Strings.String.\n/tmp/gh-issue-solver-1761527408027/P_VS_NP_INDEPENDENCE_STRATEGIES.md:337:  - Coq, Lean, Isabelle for formalization\n/tmp/gh-issue-solver-1761527408027/P_VS_NP_INDEPENDENCE_STRATEGIES.md:461:  - Coq: Mature, extensive libraries\n/tmp/gh-issue-solver-1761527408027/P_VS_NP_INDEPENDENCE_STRATEGIES.md:472:  1. Implement same strategies in Lean, Coq, Isabelle, Agda\n/tmp/gh-issue-solver-1761527408027/P_VS_NP_INDEPENDENCE_STRATEGIES.md:517:- [ ] Encode basic forcing in Lean or Coq\n/tmp/gh-issue-solver-1761527408027/P_VS_NP_INDEPENDENCE_STRATEGIES.md:709:- Repository: proofs/p_vs_np_undecidable/ (Lean, Coq, Isabelle, Agda)\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:64:- **Coq**: `classic` from `Classical_Prop`\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:86:```coq\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:363:```coq\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:364:(* In Coq with ZFC axioms *)\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:577:1. Use proof assistants with strong automation (Isabelle, Lean, Coq)\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:584:- **Coq**: `auto`, `tauto`, `lia`, `ring`\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:731:2. Implement in Coq (mature, extensive libraries)\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:745:✅ Coq:     proofs/p_vs_np_decidable/coq/PvsNPDecidable.v\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:839:- Alectryon (for Coq)\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:967:1. Use proof assistants for formal logic (Lean, Coq, Isabelle)\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:987:- Coq + Hammer (connection to ATPs)\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:1079:- ✅ **Week 2**: Verify all four proof assistants (Lean, Coq, Isabelle, Agda)\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md:1203:In classical logic, P vs NP is decidable via the law of excluded middle. This is already formalized and verified in four proof assistants (Lean 4, Coq, Isabelle/HOL, Agda).\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/README.md:78:### Coq Implementation (`coq/PNotEqualNP.v`)\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/README.md:87:```coq\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/README.md:96:cd coq\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/README.md:97:coqc PNotEqualNP.v\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/README.md:222:- ✅ Coq implementation: Complete and verified\n/tmp/gh-issue-solver-1761527408027/proofs/experiments/README.md:13:All proof files compile successfully but contain incomplete proofs (marked with `sorry` in Lean, `Admitted` in Coq, and `oops` in Isabelle) because **we don't actually have a proof of P = NP or P ≠ NP**.\n/tmp/gh-issue-solver-1761527408027/proofs/experiments/README.md:118:├── coq/\n/tmp/gh-issue-solver-1761527408027/README.md:88:The repository includes formal verification frameworks in multiple proof assistants (Lean 4, Coq, Isabelle/HOL, and Agda) organized into the following categories:\n/tmp/gh-issue-solver-1761527408027/README.md:93:- **[proofs/basic/coq/Basic.v](proofs/basic/coq/Basic.v)** - Coq foundational proofs\n/tmp/gh-issue-solver-1761527408027/README.md:105:   - Available in Lean, Coq, and Isabelle/HOL\n/tmp/gh-issue-solver-1761527408027/README.md:111:   - Available in Lean, Coq, Isabelle/HOL, and Agda\n/tmp/gh-issue-solver-1761527408027/README.md:117:   - Available in Lean, Coq, Isabelle/HOL, and Agda\n/tmp/gh-issue-solver-1761527408027/README.md:123:   - Available in Lean, Coq, Isabelle/HOL, and Agda\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/coq/PvsNPDecidable.v:15:Require Import Coq.Arith.Arith.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/coq/PvsNPDecidable.v:16:Require Import Coq.Lists.List.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/coq/PvsNPDecidable.v:17:Require Import Coq.Strings.String.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/coq/PvsNPDecidable.v:18:Require Import Coq.Logic.Classical_Prop.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/coq/PvsNPDecidable.v:240:  for reasoning about P vs NP decidability in Coq.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/coq/PSubsetNP.v:11:Require Import Coq.Arith.Arith.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/coq/PSubsetNP.v:12:Require Import Coq.Strings.String.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/coq/PvsNPUndecidable.v:14:Require Import Coq.Arith.Arith.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/coq/PvsNPUndecidable.v:15:Require Import Coq.Lists.List.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/coq/PvsNPUndecidable.v:16:Require Import Coq.Strings.String.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/coq/PvsNPUndecidable.v:17:Require Import Coq.Logic.Classical_Prop.\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:49:  coq-verification:\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:50:    name: Coq Verification\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:57:    - name: Check for Coq files\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:58:      id: check-coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:60:        if [ -f \"_CoqProject\" ] || find . -name \"*.v\" -print -quit | grep -q .; then\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:64:          echo \"✓ No Coq files - skipping\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:68:      if: steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:71:    - name: Build and test Coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:72:      if: steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:73:      uses: coq-community/docker-coq-action@v1\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:75:        coq_version: '8.20'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:77:          startGroup \"Coq version\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:78:            coqc --version\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:80:          startGroup \"Verify Coq files\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:81:            if [ -f \"_CoqProject\" ]; then\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:82:              echo \"Building Coq project with _CoqProject...\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:83:              coq_makefile -f _CoqProject -o Makefile.coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:84:              make -f Makefile.coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:86:              echo \"Verifying Coq files...\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:89:                coqc \"$file\" && echo \"✓ $file verified successfully\" || exit 1\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:92:            echo \"✓ All Coq files verified successfully!\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:96:      if: ${{ always() && steps.check-coq.outputs.has_files == 'true' }}\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:202:    needs: [lean-verification, coq-verification, isabelle-verification]\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml:213:        echo \"| Coq | ${{ needs.coq-verification.result }} |\" >> $GITHUB_STEP_SUMMARY\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:70:  coq-benchmark:\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:71:    name: Coq Performance Benchmarks\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:79:    - name: Check for Coq files\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:80:      id: check-coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:82:        if [ -f \"_CoqProject\" ] || ls *.v 1> /dev/null 2>&1; then\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:86:          echo \"No Coq project found - skipping benchmarks\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:90:      if: steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:95:    - name: Install Coq and tools\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:96:      if: steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:98:        opam install coq.latest -y\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:99:        opam install coq-mathcomp-ssreflect -y || true\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:100:        opam install coq-equations -y || true\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:102:    - name: Run Coq benchmarks\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:103:      if: steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:106:        echo \"## Coq Build Performance\" >> coq-benchmark-results.md\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:107:        echo \"\" >> coq-benchmark-results.md\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:111:        if [ -f \"_CoqProject\" ]; then\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:112:          coq_makefile -f _CoqProject -o Makefile.coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:113:          make -f Makefile.coq -j$(nproc) 2>&1 | tee coq-build.log\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:115:          time coqc *.v 2>&1 | tee coq-build.log\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:120:        echo \"- Build time: ${BUILD_TIME}s\" >> coq-benchmark-results.md\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:121:        echo \"- Coq version: $(coqc --version | head -n1)\" >> coq-benchmark-results.md\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:125:          echo \"\" >> coq-benchmark-results.md\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:126:          echo \"### Code Metrics\" >> coq-benchmark-results.md\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:127:          cloc --include-ext=v . >> coq-benchmark-results.md || true\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:130:    - name: Upload Coq benchmark results\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:132:      if: steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:134:        name: coq-benchmark-results\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:136:          coq-benchmark-results.md\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:137:          coq-build.log\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:178:        echo \"- Coq files: $COQ_FILES\" >> metrics.md\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:206:    needs: [lean-benchmark, coq-benchmark, verification-metrics]\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:225:        if [ -f \"coq-benchmark-results/coq-benchmark-results.md\" ]; then\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml:226:          cat coq-benchmark-results/coq-benchmark-results.md >> $GITHUB_STEP_SUMMARY\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md:7:This directory contains formal proofs in four proof assistants (**Lean 4**, **Coq**, **Isabelle/HOL**, and **Agda**) of the fundamental theorem:\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md:22:├── coq/\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md:23:│   └── PSubsetNP.v         # Coq proof\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md:73:- ✅ **Coq**: Fully proven constructing explicit NP machine\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md:97:### Coq (`coq/PSubsetNP.v`)\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md:102:```coq\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md:175:# Coq\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md:176:coqc proofs/p_vs_np_decidable/coq/PSubsetNP.v\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:1:name: Coq Verification\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:8:      - '_CoqProject'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:9:      - 'coq-*.opam'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:10:      - '.github/workflows/coq.yml'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:15:      - '_CoqProject'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:16:      - 'coq-*.opam'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:17:      - '.github/workflows/coq.yml'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:28:    - name: Check for Coq files\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:29:      id: check-coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:31:        echo \"=== Coq Files Found ===\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:33:        if [ -f \"_CoqProject\" ] || find . -name \"*.v\" -print -quit | grep -q .; then\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:37:          echo \"No Coq files found - skipping build\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:38:          echo \"To use Coq verification, add Coq source files (.v) and optionally a _CoqProject file\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:42:      if: steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:45:    - name: Build Coq project using docker-coq-action\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:46:      if: steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:47:      uses: coq-community/docker-coq-action@v1\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:49:        coq_version: '8.20'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:51:          startGroup \"Coq version\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:52:            coqc --version\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:54:          startGroup \"Verify Coq files\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:55:            if [ -f \"_CoqProject\" ]; then\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:56:              echo \"Building Coq project with _CoqProject...\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:57:              coq_makefile -f _CoqProject -o Makefile.coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:58:              make -f Makefile.coq\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:60:              echo \"Verifying Coq files...\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:63:                coqc \"$file\" && echo \"✓ $file verified successfully\" || exit 1\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:66:            echo \"✓ All Coq files verified successfully!\"\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:70:      if: ${{ always() && steps.check-coq.outputs.has_files == 'true' }}\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:74:      if: always() && steps.check-coq.outputs.has_files == 'true'\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml:77:        name: coq-logs\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/README.md:9:This directory contains formal frameworks in four proof assistants (**Lean 4**, **Coq**, **Isabelle/HOL**, and **Agda**) that formalize the concept of \"P vs NP is undecidable.\" These formalizations provide a rigorous mathematical structure for reasoning about whether the P vs NP problem might be independent of standard axiom systems like ZFC.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/README.md:26:├── coq/\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/README.md:27:│   └── PvsNPUndecidable.v            # Coq formalization (209 lines)\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/README.md:110:- ✅ Coq\n\n... [25 lines truncated] ..."
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 [2025-10-27T01:11:18.529Z] [INFO] {
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        "content": "     1→# Logs\n     2→logs\n     3→*.log\n     4→npm-debug.log*\n     5→yarn-debug.log*\n     6→yarn-error.log*\n     7→lerna-debug.log*\n     8→\n     9→# Diagnostic reports (https://nodejs.org/api/report.html)\n    10→report.[0-9]*.[0-9]*.[0-9]*.[0-9]*.json\n    11→\n    12→# Runtime data\n    13→pids\n    14→*.pid\n    15→*.seed\n    16→*.pid.lock\n    17→\n    18→# Directory for instrumented libs generated by jscoverage/JSCover\n    19→lib-cov\n    20→\n    21→# Coverage directory used by tools like istanbul\n    22→coverage\n    23→*.lcov\n    24→\n    25→# nyc test coverage\n    26→.nyc_output\n    27→\n    28→# Grunt intermediate storage (https://gruntjs.com/creating-plugins#storing-task-files)\n    29→.grunt\n    30→\n    31→# Bower dependency directory (https://bower.io/)\n    32→bower_components\n    33→\n    34→# node-waf configuration\n    35→.lock-wscript\n    36→\n    37→# Compiled binary addons (https://nodejs.org/api/addons.html)\n    38→build/Release\n    39→\n    40→# Dependency directories\n    41→node_modules/\n    42→jspm_packages/\n    43→\n    44→# Snowpack dependency directory (https://snowpack.dev/)\n    45→web_modules/\n    46→\n    47→# TypeScript cache\n    48→*.tsbuildinfo\n    49→\n    50→# Optional npm cache directory\n    51→.npm\n    52→\n    53→# Optional eslint cache\n    54→.eslintcache\n    55→\n    56→# Optional stylelint cache\n    57→.stylelintcache\n    58→\n    59→# Optional REPL history\n    60→.node_repl_history\n    61→\n    62→# Output of 'npm pack'\n    63→*.tgz\n    64→\n    65→# Yarn Integrity file\n    66→.yarn-integrity\n    67→\n    68→# dotenv environment variable files\n    69→.env\n    70→.env.*\n    71→!.env.example\n    72→\n    73→# parcel-bundler cache (https://parceljs.org/)\n    74→.cache\n    75→.parcel-cache\n    76→\n    77→# Next.js build output\n    78→.next\n    79→out\n    80→\n    81→# Nuxt.js build / generate output\n    82→.nuxt\n    83→dist\n    84→\n    85→# Gatsby files\n    86→.cache/\n    87→# Comment in the public line in if your project uses Gatsby and not Next.js\n    88→# https://nextjs.org/blog/next-9-1#public-directory-support\n    89→# public\n    90→\n    91→# vuepress build output\n    92→.vuepress/dist\n    93→\n    94→# vuepress v2.x temp and cache directory\n    95→.temp\n    96→.cache\n    97→\n    98→# Sveltekit cache directory\n    99→.svelte-kit/\n   100→\n   101→# vitepress build output\n   102→**/.vitepress/dist\n   103→\n   104→# vitepress cache directory\n   105→**/.vitepress/cache\n   106→\n   107→# Docusaurus cache and generated files\n   108→.docusaurus\n   109→\n   110→# Serverless directories\n   111→.serverless/\n   112→\n   113→# FuseBox cache\n   114→.fusebox/\n   115→\n   116→# DynamoDB Local files\n   117→.dynamodb/\n   118→\n   119→# Firebase cache directory\n   120→.firebase/\n   121→\n   122→# TernJS port file\n   123→.tern-port\n   124→\n   125→# Stores VSCode versions used for testing VSCode extensions\n   126→.vscode-test\n   127→\n   128→# yarn v3\n   129→.pnp.*\n   130→.yarn/*\n   131→!.yarn/patches\n   132→!.yarn/plugins\n   133→!.yarn/releases\n   134→!.yarn/sdks\n   135→!.yarn/versions\n   136→\n   137→# Vite logs files\n   138→vite.config.js.timestamp-*\n   139→vite.config.ts.timestamp-*\n   140→\n   141→# Lean build artifacts\n   142→.lake/\n   143→lake-manifest.json\n   144→\n   145→# Coq build artifacts\n   146→*.vo\n   147→*.vok\n   148→*.vos\n   149→*.glob\n   150→.*.aux\n   151→Makefile.coq\n   152→Makefile.coq.conf\n   153→.coqdeps.d\n   154→\n   155→# Isabelle build artifacts\n   156→.isabelle/\n   157→*.thy~\n   158→\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
      }
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  "uuid": "fbbbe62a-6e43-4867-b1fd-18b2bf21ed8b"
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 [2025-10-27T01:11:27.703Z] [INFO] {
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    "type": "message",
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    "content": [
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        "type": "text",
        "text": "Let me check a recent merged PR to understand commit patterns:"
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 [2025-10-27T01:11:29.086Z] [INFO] {
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          "command": "gh pr view 40 --repo konard/p-vs-np --json commits --jq '.commits[] | \"\\(.messageHeadline)\"'",
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 [2025-10-27T01:11:30.937Z] [INFO] {
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        "content": "Initial commit with task details for issue #6\nRevert \"Initial commit with task details for issue #6\"\nAdd experimental proof attempts for P vs NP problem\nFix Coq compilation errors in proof experiments\nFix Coq syntax error with comparison operator\nSimplify Coq bakerGillSolovay axiom to fix type error\nFix Coq proof*****************sible proof tactic\nFix Coq proof with nested classical reasoning\nComplete pSubsetNP proof in Isabelle to match Lean and Coq\nFix Isabelle syntax error in pSubsetNP proof\nFocus on complete decidability proofs, remove incomplete experiments\nFix Isabelle ROOT file to reference only existing theories\nRevert \"Fix Isabelle ROOT file to reference only existing theories\"\nRevert \"Focus on complete decidability proofs, remove incomplete expe…\nFocus on P ⊆ NP proof as fundamental step\nFix Coq import error in PSubsetNP.v\nRemove redundant PvsNPDecidable.thy in Isabelle",
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 [2025-10-27T01:11:34.049Z] [INFO] {
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        "text": "Perfect! Now I understand the pattern. Let me mark the current todo as completed and start the renaming process:"
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 [2025-10-27T01:11:44.276Z] [INFO] {
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 [2025-10-27T01:11:44.343Z] [INFO] {
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        "content": "Todos have been modified successfully. Ensure that you continue to use the todo list to track your progress. Please proceed with the current tasks if applicable"
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 [2025-10-27T01:11:46.839Z] [INFO] {
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    "content": [
      {
        "type": "text",
        "text": "Now let me start renaming the directories from 'coq' to 'rocq':"
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 [2025-10-27T01:11:47.442Z] [INFO] {
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 [2025-10-27T01:11:47.611Z] [INFO] {
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 [2025-10-27T01:11:51.095Z] [INFO] {
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 [2025-10-27T01:11:52.234Z] [INFO] {
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 [2025-10-27T01:11:54.762Z] [INFO] {
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 [2025-10-27T01:11:54.919Z] [INFO] {
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        "type": "tool_result",
        "content": "R  proofs/basic/coq/Basic.v -> proofs/basic/rocq/Basic.v\nR  proofs/experiments/coq/PvsNPProofAttempt.v -> proofs/experiments/rocq/PvsNPProofAttempt.v\nR  proofs/p_eq_np/coq/PvsNP.v -> proofs/p_eq_np/rocq/PvsNP.v\nR  proofs/p_not_equal_np/coq/PNotEqualNP.v -> proofs/p_not_equal_np/rocq/PNotEqualNP.v\nR  proofs/p_vs_np_decidable/coq/PSubsetNP.v -> proofs/p_vs_np_decidable/rocq/PSubsetNP.v\nR  proofs/p_vs_np_decidable/coq/PvsNPDecidable.v -> proofs/p_vs_np_decidable/rocq/PvsNPDecidable.v\nR  proofs/p_vs_np_undecidable/coq/PvsNPUndecidable.v -> proofs/p_vs_np_undecidable/rocq/PvsNPUndecidable.v",
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 [2025-10-27T01:11:57.597Z] [INFO] {
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        "text": "Great! Let me commit this first step and then continue with updating the file contents:"
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 [2025-10-27T01:11:59.657Z] [INFO] {
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              "status": "completed",
              "activeForm": "Reviewing issue requirements"
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            {
              "content": "Search for all occurrences of 'Coq' in the repository (files, directories, documentation)",
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            {
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        "content": "[issue-328-039f85d0 0f9a077] Rename coq directories to rocq\n 7 files changed, 0 insertions(+), 0 deletions(-)\n rename proofs/basic/{coq => rocq}/Basic.v (100%)\n rename proofs/experiments/{coq => rocq}/PvsNPProofAttempt.v (100%)\n rename proofs/p_eq_np/{coq => rocq}/PvsNP.v (100%)\n rename proofs/p_not_equal_np/{coq => rocq}/PNotEqualNP.v (100%)\n rename proofs/p_vs_np_decidable/{coq => rocq}/PSubsetNP.v (100%)\n rename proofs/p_vs_np_decidable/{coq => rocq}/PvsNPDecidable.v (100%)\n rename proofs/p_vs_np_undecidable/{coq => rocq}/PvsNPUndecidable.v (100%)",
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 [2025-10-27T01:12:09.406Z] [INFO] {
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        "type": "tool_result",
        "content": "Todos have been modified successfully. Ensure that you continue to use the todo list to track your progress. Please proceed with the current tasks if applicable"
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        "text": "Now let me update the Rocq file imports. Let me first read one to understand the import structure:"
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 [2025-10-27T01:12:13.439Z] [INFO] {
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        "content": "     1→(**\n     2→  Basic.v - Simple foundational proofs in Coq\n     3→\n     4→  This file serves as a bootstrap for formal verification in Coq,\n     5→  demonstrating basic proof techniques and serving as a template for\n     6→  future P vs NP related proofs.\n     7→*)\n     8→\n     9→Require Import Coq.Arith.Arith.\n    10→Require Import Coq.Lists.List.\n    11→Import ListNotations.\n    12→\n    13→(** * Basic Logical Proofs *)\n    14→\n    15→Theorem modus_ponens : forall (P Q : Prop), P -> (P -> Q) -> Q.\n    16→Proof.\n    17→  intros P Q HP HPQ.\n    18→  apply HPQ.\n    19→  exact HP.\n    20→Qed.\n    21→\n    22→Theorem and_commutative : forall (P Q : Prop), P /\\ Q -> Q /\\ P.\n    23→Proof.\n    24→  intros P Q [HP HQ].\n    25→  split.\n    26→  - exact HQ.\n    27→  - exact HP.\n    28→Qed.\n    29→\n    30→Theorem or_commutative : forall (P Q : Prop), P \\/ Q -> Q \\/ P.\n    31→Proof.\n    32→  intros P Q [HP | HQ].\n    33→  - right. exact HP.\n    34→  - left. exact HQ.\n    35→Qed.\n    36→\n    37→(** * Basic Arithmetic Proofs *)\n    38→\n    39→Theorem add_0_r : forall n : nat, n + 0 = n.\n    40→Proof.\n    41→  intro n.\n    42→  induction n as [| n' IHn'].\n    43→  - reflexivity.\n    44→  - simpl. rewrite IHn'. reflexivity.\n    45→Qed.\n    46→\n    47→Theorem add_comm : forall m n : nat, m + n = n + m.\n    48→Proof.\n    49→  intros m n.\n    50→  induction m as [| m' IHm'].\n    51→  - simpl. rewrite add_0_r. reflexivity.\n    52→  - simpl. rewrite IHm'. rewrite <- plus_n_Sm. reflexivity.\n    53→Qed.\n    54→\n    55→Theorem mul_1_r : forall n : nat, n * 1 = n.\n    56→Proof.\n    57→  intro n.\n    58→  induction n as [| n' IHn'].\n    59→  - reflexivity.\n    60→  - simpl. rewrite IHn'. reflexivity.\n    61→Qed.\n    62→\n    63→Theorem add_assoc : forall a b c : nat, (a + b) + c = a + (b + c).\n    64→Proof.\n    65→  intros a b c.\n    66→  induction a as [| a' IHa'].\n    67→  - reflexivity.\n    68→  - simpl. rewrite IHa'. reflexivity.\n    69→Qed.\n    70→\n    71→(** * Even Numbers (useful for complexity theory) *)\n    72→\n    73→Definition isEven (n : nat) : Prop := exists k, n = 2 * k.\n    74→\n    75→Theorem double_is_even : forall n : nat, isEven (2 * n).\n    76→Proof.\n    77→  intro n.\n    78→  unfold isEven.\n    79→  exists n.\n    80→  reflexivity.\n    81→Qed.\n    82→\n    83→(** * Factorial Function *)\n    84→\n    85→Fixpoint factorial (n : nat) : nat :=\n    86→  match n with\n    87→  | O => 1\n    88→  | S n' => n * factorial n'\n    89→  end.\n    90→\n    91→Theorem factorial_pos : forall n : nat, 0 < factorial n.\n    92→Proof.\n    93→  intro n.\n    94→  induction n as [| n' IHn'].\n    95→  - simpl. auto with arith.\n    96→  - simpl.\n    97→    (* (S n') * factorial n' > 0 because both factors > 0 *)\n    98→    destruct (factorial n') as [| fn'].\n    99→    + (* factorial n' = 0 contradicts IHn' *)\n   100→      inversion IHn'.\n   101→    + (* factorial n' = S fn', so product > 0 *)\n   102→      simpl. auto with arith.\n   103→Qed.\n   104→\n   105→(** * List Operations (relevant for algorithm complexity) *)\n   106→\n   107→Theorem list_length_append : forall {A : Type} (l1 l2 : list A),\n   108→  length (l1 ++ l2) = length l1 + length l2.\n   109→Proof.\n   110→  intros A l1 l2.\n   111→  induction l1 as [| h t IHt].\n   112→  - reflexivity.\n   113→  - simpl. rewrite IHt. reflexivity.\n   114→Qed.\n   115→\n   116→(** * Identity and Reflexivity *)\n   117→\n   118→Theorem refl_eq : forall {A : Type} (x : A), x = x.\n   119→Proof.\n   120→  intros A x.\n   121→  reflexivity.\n   122→Qed.\n   123→\n   124→(** * Verification Checks *)\n   125→\n   126→Check modus_ponens.\n   127→Check add_comm.\n   128→Check factorial_pos.\n   129→Check list_length_append.\n   130→\n   131→(** All basic Coq proofs verified successfully *)\n   132→\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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 [2025-10-27T01:12:17.220Z] [INFO] {
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        "text": "Now I need to update all the Rocq files. I'll need to replace \"Coq\" with \"Rocq\" in:\n1. Import statements (Require Import Coq.* -> Require Import Rocq.*)\n2. Comments mentioning \"Coq\"\n\nLet me update all Rocq files:"
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 [2025-10-27T01:12:21.690Z] [INFO] {
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 [2025-10-27T01:12:22.517Z] [INFO] {
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        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/basic/rocq/Basic.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n     1→(**\n     2→  Basic.v - Simple foundational proofs in Rocq\n     3→\n     4→  This file serves as a bootstrap for formal verification in Rocq,\n     5→  demonstrating basic proof techniques and serving as a template for\n     6→  future P vs NP related proofs.\n     7→*)\n     8→\n     9→Require Import Rocq.Arith.Arith.\n    10→Require Import Rocq.Lists.List.\n    11→Import ListNotations.\n    12→\n    13→(** * Basic Logical Proofs *)\n    14→"
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 [2025-10-27T01:12:22.575Z] [INFO] {
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        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/basic/rocq/Basic.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n   127→Check add_comm.\n   128→Check factorial_pos.\n   129→Check list_length_append.\n   130→\n   131→(** All basic Rocq proofs verified successfully *)\n   132→"
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        "text": "Now let me update the other Rocq files:"
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        "content": "     1→(**\n     2→  PNotEqualNP.v - Formal test/check for P ≠ NP\n     3→\n     4→  This file provides a formal specification and test framework for\n     5→  verifying whether P ≠ NP, establishing the necessary definitions\n     6→  and criteria that any proof of P ≠ NP must satisfy.\n     7→*)\n     8→\n     9→Require Import Coq.Strings.String.\n    10→Require Import Coq.Init.Nat.\n    11→Require Import Coq.Sets.Ensembles.\n    12→Require Import Coq.Logic.Classical_Prop.\n    13→\n    14→(** * Basic Complexity Theory Definitions *)\n    15→\n    16→(** A decision problem is a predicate on strings (inputs) *)\n    17→Definition DecisionProblem := string -> Prop.\n    18→\n    19→(** Time complexity function: maps input size to time bound *)\n    20→Definition TimeComplexity := nat -> nat.\n    21→\n    22→(** A problem is polynomial-time if there exists a polynomial time bound *)\n    23→Definition IsPolynomialTime (f : TimeComplexity) : Prop :=\n    24→  exists k : nat, forall n : nat, f n <= n ^ k.\n    25→\n    26→(** A Turing machine model (abstract representation) *)\n    27→Record TuringMachine := {\n    28→  compute : string -> bool;\n    29→  timeComplexity : TimeComplexity\n    30→}.\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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  "uuid": "b0d62cee-9fa5-4b54-b505-54651ff74d90"
 }
 [2025-10-27T01:12:31.846Z] [INFO] {
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          "file_path": "/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/rocq/PNotEqualNP.v",
          "old_string": "Require Import Coq.Strings.String.\nRequire Import Coq.Init.Nat.\nRequire Import Coq.Sets.Ensembles.\nRequire Import Coq.Logic.Classical_Prop.",
          "new_string": "Require Import Rocq.Strings.String.\nRequire Import Rocq.Init.Nat.\nRequire Import Rocq.Sets.Ensembles.\nRequire Import Rocq.Logic.Classical_Prop."
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 [2025-10-27T01:12:31.926Z] [INFO] {
  "type": "user",
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    "content": [
      {
        "tool_use_id": "toolu_01W1qpPVuYZcu8AQTq5Wayia",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/rocq/PNotEqualNP.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n     5→  verifying whether P ≠ NP, establishing the necessary definitions\n     6→  and criteria that any proof of P ≠ NP must satisfy.\n     7→*)\n     8→\n     9→Require Import Rocq.Strings.String.\n    10→Require Import Rocq.Init.Nat.\n    11→Require Import Rocq.Sets.Ensembles.\n    12→Require Import Rocq.Logic.Classical_Prop.\n    13→\n    14→(** * Basic Complexity Theory Definitions *)\n    15→\n    16→(** A decision problem is a predicate on strings (inputs) *)"
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        "type": "text",
        "text": "Now let me continue with the other files:"
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 [2025-10-27T01:12:35.177Z] [INFO] {
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 [2025-10-27T01:12:35.251Z] [INFO] {
  "type": "user",
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    "content": [
      {
        "tool_use_id": "toolu_01QRPztZyQQYULFCcy3ZzwJR",
        "type": "tool_result",
        "content": "     1→(*\n     2→  PvsNPProofAttempt.v - Experimental framework for attempting to prove P = NP or P ≠ NP\n     3→\n     4→  This file contains experimental approaches to actually PROVE the P vs NP question,\n     5→  not just prove that it's decidable. This demonstrates the challenges in constructing\n     6→  such a proof and explores different proof strategies.\n     7→\n     8→  WARNING: These are proof ATTEMPTS, not complete proofs. They showcase the difficulty\n     9→  of the problem by identifying where proof attempts typically get stuck.\n    10→*)\n    11→\n    12→Require Import Coq.Init.Nat.\n    13→Require Import Coq.Arith.PeanoNat.\n    14→Require Import Coq.Logic.Classical_Prop.\n    15→Require Import Coq.Lists.List.\n    16→Require Import Coq.Strings.String.\n    17→Import ListNotations.\n    18→\n    19→Module PvsNPProofAttempt.\n    20→\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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  "uuid": "b733390d-f9bb-4caa-85df-0e11b8aeb159"
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 [2025-10-27T01:12:40.682Z] [INFO] {
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          "old_string": "Require Import Coq.Init.Nat.\nRequire Import Coq.Arith.PeanoNat.\nRequire Import Coq.Logic.Classical_Prop.\nRequire Import Coq.Lists.List.\nRequire Import Coq.Strings.String.",
          "new_string": "Require Import Rocq.Init.Nat.\nRequire Import Rocq.Arith.PeanoNat.\nRequire Import Rocq.Logic.Classical_Prop.\nRequire Import Rocq.Lists.List.\nRequire Import Rocq.Strings.String."
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 [2025-10-27T01:12:40.766Z] [INFO] {
  "type": "user",
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    "content": [
      {
        "tool_use_id": "toolu_01S7f8XmH9erByLRe929Tjns",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/experiments/rocq/PvsNPProofAttempt.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n     8→  WARNING: These are proof ATTEMPTS, not complete proofs. They showcase the difficulty\n     9→  of the problem by identifying where proof attempts typically get stuck.\n    10→*)\n    11→\n    12→Require Import Rocq.Init.Nat.\n    13→Require Import Rocq.Arith.PeanoNat.\n    14→Require Import Rocq.Logic.Classical_Prop.\n    15→Require Import Rocq.Lists.List.\n    16→Require Import Rocq.Strings.String.\n    17→Import ListNotations.\n    18→\n    19→Module PvsNPProofAttempt.\n    20→"
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 [2025-10-27T01:12:43.957Z] [INFO] {
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    "content": [
      {
        "type": "text",
        "text": "Now let me continue with the remaining Rocq files:"
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 [2025-10-27T01:12:45.063Z] [INFO] {
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 [2025-10-27T01:12:45.217Z] [INFO] {
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        "content": "/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/rocq/PvsNPUndecidable.v:14:Require Import Coq.Arith.Arith.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/rocq/PvsNPUndecidable.v:15:Require Import Coq.Lists.List.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/rocq/PvsNPUndecidable.v:16:Require Import Coq.Strings.String.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/rocq/PvsNPUndecidable.v:17:Require Import Coq.Logic.Classical_Prop.\n/tmp/gh-issue-solver-1761527408027/proofs/p_eq_np/rocq/PvsNP.v:8:Require Import Coq.Arith.Arith.\n/tmp/gh-issue-solver-1761527408027/proofs/p_eq_np/rocq/PvsNP.v:9:Require Import Coq.Lists.List.\n/tmp/gh-issue-solver-1761527408027/proofs/p_eq_np/rocq/PvsNP.v:10:Require Import Coq.Logic.FunctionalExtensionality.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PSubsetNP.v:11:Require Import Coq.Arith.Arith.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PSubsetNP.v:12:Require Import Coq.Strings.String.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PvsNPDecidable.v:15:Require Import Coq.Arith.Arith.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PvsNPDecidable.v:16:Require Import Coq.Lists.List.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PvsNPDecidable.v:17:Require Import Coq.Strings.String.\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PvsNPDecidable.v:18:Require Import Coq.Logic.Classical_Prop."
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 [2025-10-27T01:12:48.411Z] [INFO] {
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        "text": "Let me update all remaining files at once:"
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 [2025-10-27T01:12:49.091Z] [INFO] {
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 [2025-10-27T01:12:49.162Z] [INFO] {
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      {
        "tool_use_id": "toolu_017z9ugL6doZpSoZRCAdiftv",
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        "content": "     1→(**\n     2→  PvsNPUndecidable.v - Formal framework for \"P vs NP is undecidable\"\n     3→\n     4→  This file provides a formal test/check for the undecidability claim regarding P vs NP.\n     5→  It formalizes the basic structure needed to express that P = NP might be independent\n     6→  of standard axiom systems (like ZFC).\n     7→\n     8→  The framework includes:\n     9→  1. Basic definitions of computational complexity classes\n    10→  2. A structure representing the independence statement\n    11→  3. Tests to verify the logical consistency of the formalization\n    12→*)\n    13→\n    14→Require Import Coq.Arith.Arith.\n    15→Require Import Coq.Lists.List.\n    16→Require Import Coq.Strings.String.\n    17→Require Import Coq.Logic.Classical_Prop.\n    18→Require Import Lia.\n    19→Import ListNotations.\n    20→Open Scope string_scope.\n    21→\n    22→(** * 1. Basic Definitions *)\n    23→\n    24→(** A language is a decision problem over strings *)\n    25→Definition Language := string -> bool.\n    26→\n    27→(** Time complexity: maps input size to maximum number of steps *)\n    28→Definition TimeComplexity := nat -> nat.\n    29→\n    30→(** Polynomial time: there exist constants c and k such that T(n) <= c * n^k *)\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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 [2025-10-27T01:12:54.623Z] [INFO] {
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 [2025-10-27T01:12:54.687Z] [INFO] {
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      {
        "tool_use_id": "toolu_01ESNByfgqXhjnED5CdQYV7D",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/rocq/PvsNPUndecidable.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n    10→  2. A structure representing the independence statement\n    11→  3. Tests to verify the logical consistency of the formalization\n    12→*)\n    13→\n    14→Require Import Rocq.Arith.Arith.\n    15→Require Import Rocq.Lists.List.\n    16→Require Import Rocq.Strings.String.\n    17→Require Import Rocq.Logic.Classical_Prop.\n    18→Require Import Lia.\n    19→Import ListNotations.\n    20→Open Scope string_scope.\n    21→"
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 [2025-10-27T01:12:57.649Z] [INFO] {
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 [2025-10-27T01:12:59.998Z] [INFO] {
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        "content": "     1→(**\n     2→  PvsNP.v - Formal specification and test/check for P vs NP\n     3→\n     4→  This file provides a formal framework for reasoning about the P vs NP problem,\n     5→  including definitions of complexity classes and basic verification tests.\n     6→*)\n     7→\n     8→Require Import Coq.Arith.Arith.\n     9→Require Import Coq.Lists.List.\n    10→Require Import Coq.Logic.FunctionalExtensionality.\n    11→Import ListNotations.\n    12→\n    13→(** * 1. Basic Definitions *)\n    14→\n    15→(** ** Input and Output Types *)\n    16→\n    17→(** We model computational problems over binary strings *)\n    18→Definition BinaryString := list bool.\n    19→\n    20→(** A decision problem is a predicate on binary strings *)\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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 [2025-10-27T01:13:00.021Z] [INFO] {
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      {
        "tool_use_id": "toolu_01549qxWX9jUb5mqj19N1sH8",
        "type": "tool_result",
        "content": "     1→(**\n     2→  PSubsetNP.v - Formal proof that P ⊆ NP\n     3→\n     4→  This file provides a formal proof of the well-known inclusion P ⊆ NP,\n     5→  which states that every language decidable in polynomial time is also\n     6→  verifiable in polynomial time with a certificate.\n     7→\n     8→  This is a fundamental result in computational complexity theory.\n     9→*)\n    10→\n    11→Require Import Coq.Arith.Arith.\n    12→Require Import Coq.Strings.String.\n    13→Open Scope string_scope.\n    14→\n    15→(** * 1. Basic Definitions *)\n    16→\n    17→(** A language is a decision problem over strings *)\n    18→Definition Language := string -> bool.\n    19→\n    20→(** Time complexity: maps input size to maximum number of steps *)\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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 [2025-10-27T01:13:00.078Z] [INFO] {
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        "content": "     1→(**\n     2→  PvsNPDecidable.v - Formal framework for \"P vs NP is decidable\"\n     3→\n     4→  This file provides a formal test/check for the decidability claim regarding P vs NP.\n     5→  It formalizes that the P vs NP question has a definite answer in classical logic:\n     6→  either P = NP or P ≠ NP, with no third possibility.\n     7→\n     8→  The framework includes:\n     9→  1. Basic definitions of computational complexity classes\n    10→  2. Formalization of the P vs NP question\n    11→  3. Proofs that P vs NP is decidable in the classical logic sense\n    12→  4. Tests to verify the logical consistency of the formalization\n    13→*)\n    14→\n    15→Require Import Coq.Arith.Arith.\n    16→Require Import Coq.Lists.List.\n    17→Require Import Coq.Strings.String.\n    18→Require Import Coq.Logic.Classical_Prop.\n    19→Require Import Lia.\n    20→Import ListNotations.\n    21→Open Scope string_scope.\n    22→\n    23→(** * 1. Basic Definitions *)\n    24→\n    25→(** A language is a decision problem over strings *)\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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 [2025-10-27T01:13:05.708Z] [INFO] {
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 [2025-10-27T01:13:06.713Z] [INFO] {
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 [2025-10-27T01:13:08.446Z] [INFO] {
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 [2025-10-27T01:13:08.523Z] [INFO] {
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      {
        "tool_use_id": "toolu_013AbkKUSsxJst1jDwATjd9i",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/p_eq_np/rocq/PvsNP.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n     4→  This file provides a formal framework for reasoning about the P vs NP problem,\n     5→  including definitions of complexity classes and basic verification tests.\n     6→*)\n     7→\n     8→Require Import Rocq.Arith.Arith.\n     9→Require Import Rocq.Lists.List.\n    10→Require Import Rocq.Logic.FunctionalExtensionality.\n    11→Import ListNotations.\n    12→\n    13→(** * 1. Basic Definitions *)\n    14→"
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 [2025-10-27T01:13:08.575Z] [INFO] {
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        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PSubsetNP.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n     7→\n     8→  This is a fundamental result in computational complexity theory.\n     9→*)\n    10→\n    11→Require Import Rocq.Arith.Arith.\n    12→Require Import Rocq.Strings.String.\n    13→Open Scope string_scope.\n    14→\n    15→(** * 1. Basic Definitions *)\n    16→"
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 [2025-10-27T01:13:08.650Z] [INFO] {
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      {
        "tool_use_id": "toolu_017wJhgK3PCen8rPudDeoekx",
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        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PvsNPDecidable.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n    11→  3. Proofs that P vs NP is decidable in the classical logic sense\n    12→  4. Tests to verify the logical consistency of the formalization\n    13→*)\n    14→\n    15→Require Import Rocq.Arith.Arith.\n    16→Require Import Rocq.Lists.List.\n    17→Require Import Rocq.Strings.String.\n    18→Require Import Rocq.Logic.Classical_Prop.\n    19→Require Import Lia.\n    20→Import ListNotations.\n    21→Open Scope string_scope.\n    22→"
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        "text": "Great! Now let me update the comment in PvsNPDecidable.v that mentions \"Coq\" at line 240:"
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 [2025-10-27T01:13:16.231Z] [INFO] {
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      {
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        "type": "tool_result",
        "content": "   235→\n   236→(**\n   237→  Summary: We have formally stated the P vs NP question and proven that\n   238→  it is decidable (has an answer) in the classical logic sense, even though\n   239→  we don't know which answer is correct. This provides a formal foundation\n   240→  for reasoning about P vs NP decidability in Coq.\n   241→*)\n   242→\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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        "content": "The file /tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/rocq/PvsNPDecidable.v has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n   236→(**\n   237→  Summary: We have formally stated the P vs NP question and proven that\n   238→  it is decidable (has an answer) in the classical logic sense, even though\n   239→  we don't know which answer is correct. This provides a formal foundation\n   240→  for reasoning about P vs NP decidability in Rocq.\n   241→*)\n   242→"
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 [2025-10-27T01:13:52.534Z] [INFO] {
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 [2025-10-27T01:13:57.522Z] [INFO] {
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          "old_string": "3. **[Classical Tautology: (P = NP) ∨ (P ≠ NP)](proofs/p_vs_np_decidable/)** (`proofs/p_vs_np_decidable/`)\n   - Formalizes that P vs NP has a definite answer in classical logic via law of excluded middle\n   - See [detailed documentation](proofs/p_vs_np_decidable/README.md)\n   - **Note:** This is NOT \"decidability\" in the algorithmic sense, but the classical tautology that (P=NP) ∨ (P≠NP) holds\n   - Available in Lean, Coq, Isabelle/HOL, and Agda",
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 [2025-10-27T01:14:00.741Z] [INFO] {
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          "old_string": "4. **[Possible Independence from ZFC](proofs/p_vs_np_undecidable/)** (`proofs/p_vs_np_undecidable/`)\n   - Framework for reasoning about potential independence from ZFC (meta-mathematical exploration)\n   - See [detailed documentation](proofs/p_vs_np_undecidable/README.md)\n   - Explores whether P vs NP could be independent of standard axiom systems\n   - Available in Lean, Coq, Isabelle/HOL, and Agda",
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 [2025-10-27T01:14:00.866Z] [INFO] {
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        "content": "The file /tmp/gh-issue-solver-1761527408027/README.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n    88→The repository includes formal verification frameworks in multiple proof assistants (Lean 4, Rocq, Isabelle/HOL, and Agda) organized into the following categories:\n    89→\n    90→#### Tutorial Proofs for Learning Proof Assistants (`proofs/basic/`)\n    91→Bootstrap proof files demonstrating foundational formal verification concepts and serving as templates:\n    92→- **[proofs/basic/lean/Basic.lean](proofs/basic/lean/Basic.lean)** - Lean 4 foundational proofs\n    93→- **[proofs/basic/rocq/Basic.v](proofs/basic/rocq/Basic.v)** - Rocq foundational proofs\n    94→- **[proofs/basic/isabelle/Basic.thy](proofs/basic/isabelle/Basic.thy)** - Isabelle/HOL foundational proofs\n    95→- **[proofs/basic/agda/Basic.agda](proofs/basic/agda/Basic.agda)** - Agda foundational proofs\n    96→\n    97→These files serve as tutorials for researchers learning to use proof assistants and provide CI validation that the formal verification infrastructure is working correctly.\n    98→\n    99→#### Advanced Proof Frameworks for P vs NP"
      }
    ]
  },
  "parent_tool_use_id": null,
  "session_id": "a5e89bf6-e116-4d17-b4d2-802a38f82338",
  "uuid": "57d07f5c-0bb8-40b1-9af8-7f4401d6aba6"
 }
 [2025-10-27T01:14:00.986Z] [INFO] {
  "type": "user",
  "message": {
    "role": "user",
    "content": [
      {
        "tool_use_id": "toolu_01CAFG1rkK5woX7eojifV7ph",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/README.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n    98→\n    99→#### Advanced Proof Frameworks for P vs NP\n   100→The repository contains four distinct proof frameworks exploring different aspects of the P vs NP problem:\n   101→\n   102→1. **[P = NP Formalization](proofs/p_eq_np/)** (`proofs/p_eq_np/`)\n   103→   - Framework for verifying hypothetical proofs that P equals NP\n   104→   - Implements four test methods for validating P = NP claims\n   105→   - Available in Lean, Rocq, and Isabelle/HOL\n   106→\n   107→2. **[P ≠ NP Formalization](proofs/p_not_equal_np/)** (`proofs/p_not_equal_np/`)\n   108→   - Framework for verifying proofs that P does not equal NP\n   109→   - See [detailed documentation](proofs/p_not_equal_np/README.md)"
      }
    ]
  },
  "parent_tool_use_id": null,
  "session_id": "a5e89bf6-e116-4d17-b4d2-802a38f82338",
  "uuid": "ffed6d8a-be6a-4c8a-bd78-b21138d7cf48"
 }
 [2025-10-27T01:14:01.053Z] [INFO] {
  "type": "user",
  "message": {
    "role": "user",
    "content": [
      {
        "tool_use_id": "toolu_013gPvDHvJBu1DscGGM6ck1C",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/README.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n   103→   - Framework for verifying hypothetical proofs that P equals NP\n   104→   - Implements four test methods for validating P = NP claims\n   105→   - Available in Lean, Rocq, and Isabelle/HOL\n   106→\n   107→2. **[P ≠ NP Formalization](proofs/p_not_equal_np/)** (`proofs/p_not_equal_np/`)\n   108→   - Framework for verifying proofs that P does not equal NP\n   109→   - See [detailed documentation](proofs/p_not_equal_np/README.md)\n   110→   - Includes four mathematically equivalent test methods\n   111→   - Available in Lean, Rocq, Isabelle/HOL, and Agda\n   112→\n   113→3. **[Classical Tautology: (P = NP) ∨ (P ≠ NP)](proofs/p_vs_np_decidable/)** (`proofs/p_vs_np_decidable/`)\n   114→   - Formalizes that P vs NP has a definite answer in classical logic via law of excluded middle\n   115→   - See [detailed documentation](proofs/p_vs_np_decidable/README.md)"
      }
    ]
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  "session_id": "a5e89bf6-e116-4d17-b4d2-802a38f82338",
  "uuid": "b2dff6a5-999a-4174-9d48-09d3d534467b"
 }
 [2025-10-27T01:14:01.105Z] [INFO] {
  "type": "user",
  "message": {
    "role": "user",
    "content": [
      {
        "tool_use_id": "toolu_01N2kVJdrHdmVyqQb1H927Vo",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/README.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n   109→   - See [detailed documentation](proofs/p_not_equal_np/README.md)\n   110→   - Includes four mathematically equivalent test methods\n   111→   - Available in Lean, Rocq, Isabelle/HOL, and Agda\n   112→\n   113→3. **[Classical Tautology: (P = NP) ∨ (P ≠ NP)](proofs/p_vs_np_decidable/)** (`proofs/p_vs_np_decidable/`)\n   114→   - Formalizes that P vs NP has a definite answer in classical logic via law of excluded middle\n   115→   - See [detailed documentation](proofs/p_vs_np_decidable/README.md)\n   116→   - **Note:** This is NOT \"decidability\" in the algorithmic sense, but the classical tautology that (P=NP) ∨ (P≠NP) holds\n   117→   - Available in Lean, Rocq, Isabelle/HOL, and Agda\n   118→\n   119→4. **[Possible Independence from ZFC](proofs/p_vs_np_undecidable/)** (`proofs/p_vs_np_undecidable/`)\n   120→   - Framework for reasoning about potential independence from ZFC (meta-mathematical exploration)\n   121→   - See [detailed documentation](proofs/p_vs_np_undecidable/README.md)"
      }
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  "parent_tool_use_id": null,
  "session_id": "a5e89bf6-e116-4d17-b4d2-802a38f82338",
  "uuid": "f1016509-062e-41e2-bbae-d2de6053b808"
 }
 [2025-10-27T01:14:01.182Z] [INFO] {
  "type": "user",
  "message": {
    "role": "user",
    "content": [
      {
        "tool_use_id": "toolu_015KvcxgCzxbJwPBdQ4ZsBC5",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/README.md has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n   115→   - See [detailed documentation](proofs/p_vs_np_decidable/README.md)\n   116→   - **Note:** This is NOT \"decidability\" in the algorithmic sense, but the classical tautology that (P=NP) ∨ (P≠NP) holds\n   117→   - Available in Lean, Rocq, Isabelle/HOL, and Agda\n   118→\n   119→4. **[Possible Independence from ZFC](proofs/p_vs_np_undecidable/)** (`proofs/p_vs_np_undecidable/`)\n   120→   - Framework for reasoning about potential independence from ZFC (meta-mathematical exploration)\n   121→   - See [detailed documentation](proofs/p_vs_np_undecidable/README.md)\n   122→   - Explores whether P vs NP could be independent of standard axiom systems\n   123→   - Available in Lean, Rocq, Isabelle/HOL, and Agda\n   124→\n   125→All proof files are automatically verified by GitHub Actions workflows to ensure correctness. [![Formal Verification Suite](https://github.com/konard/p-vs-np/actions/workflows/verification.yml/badge.svg)](https://github.com/konard/p-vs-np/actions/workflows/verification.yml)\n   126→\n   127→## Key Highlights"
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 [2025-10-27T01:14:05.018Z] [INFO] {
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    "type": "message",
    "role": "assistant",
    "content": [
      {
        "type": "text",
        "text": "Now let me update the other documentation files. Let me use sed to replace occurrences efficiently:"
      }
    ],
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 [2025-10-27T01:14:05.713Z] [INFO] {
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 [2025-10-27T01:14:05.855Z] [INFO] {
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        "content": "./P_VS_NP_TASK_DESCRIPTION.md\n./README.md\n./ISSUE_27_ANALYSIS.md\n./CLAUDE.md\n./TOOLS_AND_METHODOLOGIES.md\n./SOLUTION_STRATEGIES.md\n./DETAILED_SOLUTION_PLAN.md\n./experiments/implementation_plan.md\n./experiments/issue31_verification.md\n./experiments/issue28_verification.md\n./SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md\n./P_VS_NP_INDEPENDENCE_STRATEGIES.md\n./P_NOT_EQUAL_NP_SOLUTION_STRATEGIES.md\n./ISSUE_28_RESPONSE.md\n./proofs/p_vs_np_undecidable/README.md\n./proofs/p_vs_np_decidable/README.md\n./proofs/p_not_equal_np/README.md\n./proofs/experiments/README.md",
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 [2025-10-27T01:14:09.023Z] [INFO] {
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    "content": [
      {
        "type": "text",
        "text": "Let me update the key documentation files that mention Coq/coq. I'll use Edit tool for precision:"
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 [2025-10-27T01:14:10.094Z] [INFO] {
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  "uuid": "186da38b-fd47-481e-8c77-160ecebd85ca"
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 [2025-10-27T01:14:10.189Z] [INFO] {
  "type": "user",
  "message": {
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    "content": [
      {
        "tool_use_id": "toolu_01LMLJdVjxYDr3bHUjXpus3K",
        "type": "tool_result",
        "content": "Found 11 files\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/README.md\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/README.md\n/tmp/gh-issue-solver-1761527408027/proofs/experiments/README.md\n/tmp/gh-issue-solver-1761527408027/experiments/issue28_verification.md\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md\n/tmp/gh-issue-solver-1761527408027/TOOLS_AND_METHODOLOGIES.md\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES.md\n/tmp/gh-issue-solver-1761527408027/P_VS_NP_INDEPENDENCE_STRATEGIES.md\n/tmp/gh-issue-solver-1761527408027/ISSUE_28_RESPONSE.md\n/tmp/gh-issue-solver-1761527408027/ISSUE_27_ANALYSIS.md"
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  "session_id": "a5e89bf6-e116-4d17-b4d2-802a38f82338",
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 [2025-10-27T01:14:16.446Z] [INFO] {
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    "role": "assistant",
    "content": [
      {
        "type": "text",
        "text": "Let me create a script to efficiently replace all occurrences. I'll use sed for this:"
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 [2025-10-27T01:14:19.229Z] [INFO] {
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          "command": "find . -name \"*.md\" -type f -exec sed -i 's/\\bCoq\\b/Rocq/g; s|/coq/|/rocq/|g; s|coq/|rocq/|g; s|`coq`|`rocq`|g; s|Coq Verification|Rocq Verification|g; s|Coq Build|Rocq Build|g; s|Coq version|Rocq version|g; s|Coq files|Rocq files|g; s|Coq implementation|Rocq implementation|g; s|Coq proof|Rocq proof|g' {} \\;",
          "description": "Replace Coq with Rocq in all markdown files"
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 [2025-10-27T01:14:20.620Z] [INFO] {
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 [2025-10-27T01:14:23.699Z] [INFO] {
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        "type": "text",
        "text": "Now let me check the changes and update the .gitignore file:"
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 [2025-10-27T01:14:24.263Z] [INFO] {
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 [2025-10-27T01:14:26.552Z] [INFO] {
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 [2025-10-27T01:14:26.722Z] [INFO] {
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        "content": " ISSUE_27_ANALYSIS.md                            | 10 +++++-----\n ISSUE_28_RESPONSE.md                            |  2 +-\n P_VS_NP_INDEPENDENCE_STRATEGIES.md              | 10 +++++-----\n README.md                                       | 12 ++++++------\n SOLUTION_STRATEGIES.md                          | 10 +++++-----\n SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md | 22 +++++++++++-----------\n TOOLS_AND_METHODOLOGIES.md                      |  6 +++---\n experiments/issue28_verification.md             |  2 +-\n proofs/experiments/README.md                    |  4 ++--\n proofs/p_not_equal_np/README.md                 |  4 ++--\n proofs/p_vs_np_decidable/README.md              | 14 +++++++-------\n proofs/p_vs_np_undecidable/README.md            | 22 +++++++++++-----------\n 12 files changed, 59 insertions(+), 59 deletions(-)",
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        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/.gitignore has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n   141→# Lean build artifacts\n   142→.lake/\n   143→lake-manifest.json\n   144→\n   145→# Rocq build artifacts\n   146→*.vo\n   147→*.vok\n   148→*.vos\n   149→*.glob\n   150→.*.aux\n   151→Makefile.coq\n   152→Makefile.coq.conf\n   153→.coqdeps.d\n   154→\n   155→# Isabelle build artifacts\n   156→.isabelle/\n   157→*.thy~"
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        "text": "Good! Now let me commit these documentation changes and then work on the GitHub Actions workflows:"
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 [2025-10-27T01:14:45.317Z] [INFO] {
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        "content": "/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml\n/tmp/gh-issue-solver-1761527408027/.github/workflows/isabelle.yml\n/tmp/gh-issue-solver-1761527408027/.github/workflows/coq.yml\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml\n/tmp/gh-issue-solver-1761527408027/.github/workflows/lean.yml"
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 [2025-10-27T01:14:54.010Z] [INFO] {
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      {
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        "type": "tool_result",
        "content": "     1→name: Coq Verification\n     2→\n     3→on:\n     4→  push:\n     5→    branches: [ main ]\n     6→    paths:\n     7→      - '**.v'\n     8→      - '_CoqProject'\n     9→      - 'coq-*.opam'\n    10→      - '.github/workflows/coq.yml'\n    11→  pull_request:\n    12→    branches: [ main ]\n    13→    paths:\n    14→      - '**.v'\n    15→      - '_CoqProject'\n    16→      - 'coq-*.opam'\n    17→      - '.github/workflows/coq.yml'\n    18→  workflow_dispatch:\n    19→\n    20→jobs:\n    21→  build:\n    22→    runs-on: ubuntu-latest\n    23→\n    24→    steps:\n    25→    - name: Checkout repository\n    26→      uses: actions/checkout@v4\n    27→\n    28→    - name: Check for Coq files\n    29→      id: check-coq\n    30→      run: |\n    31→        echo \"=== Coq Files Found ===\"\n    32→        find . -name \"*.v\" -type f | sort\n    33→        if [ -f \"_CoqProject\" ] || find . -name \"*.v\" -print -quit | grep -q .; then\n    34→          echo \"has_files=true\" >> $GITHUB_OUTPUT\n    35→        else\n    36→          echo \"has_files=false\" >> $GITHUB_OUTPUT\n    37→          echo \"No Coq files found - skipping build\"\n    38→          echo \"To use Coq verification, add Coq source files (.v) and optionally a _CoqProject file\"\n    39→        fi\n    40→\n    41→    - name: Fix permissions for docker\n    42→      if: steps.check-coq.outputs.has_files == 'true'\n    43→      run: sudo chown -R 1000:1000 .\n    44→\n    45→    - name: Build Coq project using docker-coq-action\n    46→      if: steps.check-coq.outputs.has_files == 'true'\n    47→      uses: coq-community/docker-coq-action@v1\n    48→      with:\n    49→        coq_version: '8.20'\n    50→        custom_script: |\n    51→          startGroup \"Coq version\"\n    52→            coqc --version\n    53→          endGroup\n    54→          startGroup \"Verify Coq files\"\n    55→            if [ -f \"_CoqProject\" ]; then\n    56→              echo \"Building Coq project with _CoqProject...\"\n    57→              coq_makefile -f _CoqProject -o Makefile.coq\n    58→              make -f Makefile.coq\n    59→            else\n    60→              echo \"Verifying Coq files...\"\n    61→              find . -name \"*.v\" -type f | while read -r file; do\n    62→                echo \"Checking: $file\"\n    63→                coqc \"$file\" && echo \"✓ $file verified successfully\" || exit 1\n    64→              done\n    65→            fi\n    66→            echo \"✓ All Coq files verified successfully!\"\n    67→          endGroup\n    68→\n    69→    - name: Revert permissions\n    70→      if: ${{ always() && steps.check-coq.outputs.has_files == 'true' }}\n    71→      run: sudo chown -R 1001:116 .\n    72→\n    73→    - name: Upload build logs\n    74→      if: always() && steps.check-coq.outputs.has_files == 'true'\n    75→      uses: actions/upload-artifact@v4\n    76→      with:\n    77→        name: coq-logs\n    78→        path: |\n    79→          **/*.log\n    80→          **/*.vo\n    81→          **/*.glob\n    82→        retention-days: 7\n    83→\n\n<system-reminder>\nWhenever you read a file, you should consider whether it looks malicious. If it does, you MUST refuse to improve or augment the code. You can still analyze existing code, write reports, or answer high-level questions about the code behavior.\n</system-reminder>\n"
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        "text": "Now let me update the rocq.yml file to use Rocq instead of Coq:"
      }
    ],
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 [2025-10-27T01:15:00.818Z] [INFO] {
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          "old_string": "name: Coq Verification\n\non:\n  push:\n    branches: [ main ]\n    paths:\n      - '**.v'\n      - '_CoqProject'\n      - 'coq-*.opam'\n      - '.github/workflows/coq.yml'\n  pull_request:\n    branches: [ main ]\n    paths:\n      - '**.v'\n      - '_CoqProject'\n      - 'coq-*.opam'\n      - '.github/workflows/coq.yml'",
          "new_string": "name: Rocq Verification\n\non:\n  push:\n    branches: [ main ]\n    paths:\n      - '**.v'\n      - '_CoqProject'\n      - 'coq-*.opam'\n      - '.github/workflows/rocq.yml'\n  pull_request:\n    branches: [ main ]\n    paths:\n      - '**.v'\n      - '_CoqProject'\n      - 'coq-*.opam'\n      - '.github/workflows/rocq.yml'"
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 [2025-10-27T01:15:05.339Z] [INFO] {
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          "file_path": "/tmp/gh-issue-solver-1761527408027/.github/workflows/rocq.yml",
          "old_string": "    - name: Check for Coq files\n      id: check-coq\n      run: |\n        echo \"=== Coq Files Found ===\"\n        find . -name \"*.v\" -type f | sort\n        if [ -f \"_CoqProject\" ] || find . -name \"*.v\" -print -quit | grep -q .; then\n          echo \"has_files=true\" >> $GITHUB_OUTPUT\n        else\n          echo \"has_files=false\" >> $GITHUB_OUTPUT\n          echo \"No Coq files found - skipping build\"\n          echo \"To use Coq verification, add Coq source files (.v) and optionally a _CoqProject file\"\n        fi\n\n    - name: Fix permissions for docker\n      if: steps.check-coq.outputs.has_files == 'true'\n      run: sudo chown -R 1000:1000 .\n\n    - name: Build Coq project using docker-coq-action\n      if: steps.check-coq.outputs.has_files == 'true'",
          "new_string": "    - name: Check for Rocq files\n      id: check-rocq\n      run: |\n        echo \"=== Rocq Files Found ===\"\n        find . -name \"*.v\" -type f | sort\n        if [ -f \"_CoqProject\" ] || find . -name \"*.v\" -print -quit | grep -q .; then\n          echo \"has_files=true\" >> $GITHUB_OUTPUT\n        else\n          echo \"has_files=false\" >> $GITHUB_OUTPUT\n          echo \"No Rocq files found - skipping build\"\n          echo \"To use Rocq verification, add Rocq source files (.v) and optionally a _CoqProject file\"\n        fi\n\n    - name: Fix permissions for docker\n      if: steps.check-rocq.outputs.has_files == 'true'\n      run: sudo chown -R 1000:1000 .\n\n    - name: Build Rocq project using docker-coq-action\n      if: steps.check-rocq.outputs.has_files == 'true'"
        }
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    ],
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 }
 [2025-10-27T01:15:10.742Z] [INFO] {
  "type": "assistant",
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    "model": "claude-sonnet-4-5-20250929",
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          "file_path": "/tmp/gh-issue-solver-1761527408027/.github/workflows/rocq.yml",
          "old_string": "        coq_version: '8.20'\n        custom_script: |\n          startGroup \"Coq version\"\n            coqc --version\n          endGroup\n          startGroup \"Verify Coq files\"\n            if [ -f \"_CoqProject\" ]; then\n              echo \"Building Coq project with _CoqProject...\"\n              coq_makefile -f _CoqProject -o Makefile.coq\n              make -f Makefile.coq\n            else\n              echo \"Verifying Coq files...\"\n              find . -name \"*.v\" -type f | while read -r file; do\n                echo \"Checking: $file\"\n                coqc \"$file\" && echo \"✓ $file verified successfully\" || exit 1\n              done\n            fi\n            echo \"✓ All Coq files verified successfully!\"\n          endGroup\n\n    - name: Revert permissions\n      if: ${{ always() && steps.check-coq.outputs.has_files == 'true' }}\n      run: sudo chown -R 1001:116 .\n\n    - name: Upload build logs\n      if: always() && steps.check-coq.outputs.has_files == 'true'\n      uses: actions/upload-artifact@v4\n      with:\n        name: coq-logs",
          "new_string": "        coq_version: '8.20'\n        custom_script: |\n          startGroup \"Rocq version\"\n            coqc --version\n          endGroup\n          startGroup \"Verify Rocq files\"\n            if [ -f \"_CoqProject\" ]; then\n              echo \"Building Rocq project with _CoqProject...\"\n              coq_makefile -f _CoqProject -o Makefile.coq\n              make -f Makefile.coq\n            else\n              echo \"Verifying Rocq files...\"\n              find . -name \"*.v\" -type f | while read -r file; do\n                echo \"Checking: $file\"\n                coqc \"$file\" && echo \"✓ $file verified successfully\" || exit 1\n              done\n            fi\n            echo \"✓ All Rocq files verified successfully!\"\n          endGroup\n\n    - name: Revert permissions\n      if: ${{ always() && steps.check-rocq.outputs.has_files == 'true' }}\n      run: sudo chown -R 1001:116 .\n\n    - name: Upload build logs\n      if: always() && steps.check-rocq.outputs.has_files == 'true'\n      uses: actions/upload-artifact@v4\n      with:\n        name: rocq-logs"
        }
      }
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  "uuid": "2ebd1a40-5644-4888-b115-13b913cf82c1"
 }
 [2025-10-27T01:15:10.857Z] [INFO] {
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    "content": [
      {
        "tool_use_id": "toolu_01KSKgYsuyqAKr5xLdztXyKU",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/.github/workflows/rocq.yml has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n     1→name: Rocq Verification\n     2→\n     3→on:\n     4→  push:\n     5→    branches: [ main ]\n     6→    paths:\n     7→      - '**.v'\n     8→      - '_CoqProject'\n     9→      - 'coq-*.opam'\n    10→      - '.github/workflows/rocq.yml'\n    11→  pull_request:\n    12→    branches: [ main ]\n    13→    paths:\n    14→      - '**.v'\n    15→      - '_CoqProject'\n    16→      - 'coq-*.opam'\n    17→      - '.github/workflows/rocq.yml'\n    18→  workflow_dispatch:\n    19→\n    20→jobs:\n    21→  build:"
      }
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  "uuid": "06951c14-1196-4bfd-9400-9b1159e41ee6"
 }
 [2025-10-27T01:15:10.942Z] [INFO] {
  "type": "user",
  "message": {
    "role": "user",
    "content": [
      {
        "tool_use_id": "toolu_01QEyuTCaEFdkcj6zFdepZBU",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/.github/workflows/rocq.yml has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n    24→    steps:\n    25→    - name: Checkout repository\n    26→      uses: actions/checkout@v4\n    27→\n    28→    - name: Check for Rocq files\n    29→      id: check-rocq\n    30→      run: |\n    31→        echo \"=== Rocq Files Found ===\"\n    32→        find . -name \"*.v\" -type f | sort\n    33→        if [ -f \"_CoqProject\" ] || find . -name \"*.v\" -print -quit | grep -q .; then\n    34→          echo \"has_files=true\" >> $GITHUB_OUTPUT\n    35→        else\n    36→          echo \"has_files=false\" >> $GITHUB_OUTPUT\n    37→          echo \"No Rocq files found - skipping build\"\n    38→          echo \"To use Rocq verification, add Rocq source files (.v) and optionally a _CoqProject file\"\n    39→        fi\n    40→\n    41→    - name: Fix permissions for docker\n    42→      if: steps.check-rocq.outputs.has_files == 'true'\n    43→      run: sudo chown -R 1000:1000 .\n    44→\n    45→    - name: Build Rocq project using docker-coq-action\n    46→      if: steps.check-rocq.outputs.has_files == 'true'\n    47→      uses: coq-community/docker-coq-action@v1\n    48→      with:\n    49→        coq_version: '8.20'\n    50→        custom_script: |"
      }
    ]
  },
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  "session_id": "a5e89bf6-e116-4d17-b4d2-802a38f82338",
  "uuid": "2d56e064-c832-4104-983e-7554d385098f"
 }
 [2025-10-27T01:15:11.070Z] [INFO] {
  "type": "user",
  "message": {
    "role": "user",
    "content": [
      {
        "tool_use_id": "toolu_01SzME6Fn24r6NZjtE66cg4w",
        "type": "tool_result",
        "content": "The file /tmp/gh-issue-solver-1761527408027/.github/workflows/rocq.yml has been updated. Here's the result of running `cat -n` on a snippet of the edited file:\n    45→    - name: Build Rocq project using docker-coq-action\n    46→      if: steps.check-rocq.outputs.has_files == 'true'\n    47→      uses: coq-community/docker-coq-action@v1\n    48→      with:\n    49→        coq_version: '8.20'\n    50→        custom_script: |\n    51→          startGroup \"Rocq version\"\n    52→            coqc --version\n    53→          endGroup\n    54→          startGroup \"Verify Rocq files\"\n    55→            if [ -f \"_CoqProject\" ]; then\n    56→              echo \"Building Rocq project with _CoqProject...\"\n    57→              coq_makefile -f _CoqProject -o Makefile.coq\n    58→              make -f Makefile.coq\n    59→            else\n    60→              echo \"Verifying Rocq files...\"\n    61→              find . -name \"*.v\" -type f | while read -r file; do\n    62→                echo \"Checking: $file\"\n    63→                coqc \"$file\" && echo \"✓ $file verified successfully\" || exit 1\n    64→              done\n    65→            fi\n    66→            echo \"✓ All Rocq files verified successfully!\"\n    67→          endGroup\n    68→\n    69→    - name: Revert permissions\n    70→      if: ${{ always() && steps.check-rocq.outputs.has_files == 'true' }}\n    71→      run: sudo chown -R 1001:116 .\n    72→\n    73→    - name: Upload build logs\n    74→      if: always() && steps.check-rocq.outputs.has_files == 'true'\n    75→      uses: actions/upload-artifact@v4\n    76→      with:\n    77→        name: rocq-logs\n    78→        path: |\n    79→          **/*.log\n    80→          **/*.vo\n    81→          **/*.glob"
      }
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  "uuid": "b124b856-7a7b-420b-bfed-bed0ce93692d"
 }
 [2025-10-27T01:15:15.252Z] [INFO] {
  "type": "assistant",
  "message": {
    "model": "claude-sonnet-4-5-20250929",
    "id": "msg_01S1J13G5nvWXaVzypRZ2snX",
    "type": "message",
    "role": "assistant",
    "content": [
      {
        "type": "text",
        "text": "Now let me update the other workflow files that reference Coq. Let me read and update verification.yml and benchmark.yml:"
      }
    ],
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  "uuid": "fda1e816-e356-4878-959f-b182fbd252a9"
 }
 [2025-10-27T01:15:17.779Z] [INFO] {
  "type": "assistant",
  "message": {
    "model": "claude-sonnet-4-5-20250929",
    "id": "msg_01S1J13G5nvWXaVzypRZ2snX",
    "type": "message",
    "role": "assistant",
    "content": [
      {
        "type": "tool_use",
        "id": "toolu_012XVgvx8TFBoY8uNZNHe8or",
        "name": "Bash",
        "input": {
          "command": "sed -i 's/coq-verification/rocq-verification/g; s/Coq Verification/Rocq Verification/g; s/check-coq/check-rocq/g; s/Coq files/Rocq files/g; s/Coq version/Rocq version/g; s/Verify Coq files/Verify Rocq files/g; s/All Coq files/All Rocq files/g; s/coq-logs/rocq-logs/g; s/Coq project/Rocq project/g' .github/workflows/verification.yml",
          "description": "Update verification.yml for Rocq"
        }
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  "uuid": "8263c775-3ceb-4258-933a-813eb955945b"
 }
 [2025-10-27T01:15:20.442Z] [INFO] {
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    "role": "assistant",
    "content": [
      {
        "type": "tool_use",
        "id": "toolu_01EzjeJG3fJ3A7nNRiLeTkt1",
        "name": "Bash",
        "input": {
          "command": "sed -i 's/coq-benchmark/rocq-benchmark/g; s/Coq Performance/Rocq Performance/g; s/check-coq/check-rocq/g; s/Coq files/Rocq files/g; s/Coq project/Rocq project/g; s/Install Coq/Install Rocq/g; s/Run Coq benchmarks/Run Rocq benchmarks/g; s/Coq Build Performance/Rocq Build Performance/g; s/Coq version/Rocq version/g; s/Upload Coq benchmark/Upload Rocq benchmark/g; s/coq-benchmark-results/rocq-benchmark-results/g; s/coq-build\\.log/rocq-build.log/g' .github/workflows/benchmark.yml",
          "description": "Update benchmark.yml for Rocq"
        }
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  "uuid": "3d427fbd-aa1f-4d01-983d-3196cfbd711e"
 }
 [2025-10-27T01:15:21.899Z] [INFO] {
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  "uuid": "479260ef-1334-4ef5-a41c-385db24a24ac"
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 [2025-10-27T01:15:23.255Z] [INFO] {
  "type": "user",
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        "is_error": false
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 }
 [2025-10-27T01:15:26.618Z] [INFO] {
  "type": "assistant",
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    "role": "assistant",
    "content": [
      {
        "type": "text",
        "text": "Now let me check the git status and commit these workflow changes:"
      }
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  "uuid": "11594b97-7ec1-4d76-988d-7f406c4030fa"
 }
 [2025-10-27T01:15:27.177Z] [INFO] {
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    "role": "assistant",
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      {
        "type": "tool_use",
        "id": "toolu_014ZqyaZHJVXTBv9fXAEVhvJ",
        "name": "Bash",
        "input": {
          "command": "git status --short",
          "description": "Check git status"
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    ],
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  "uuid": "f89f8bf0-c5b6-4cec-9b92-116915fd802f"
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 [2025-10-27T01:15:27.363Z] [INFO] {
  "type": "user",
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    "role": "user",
    "content": [
      {
        "tool_use_id": "toolu_014ZqyaZHJVXTBv9fXAEVhvJ",
        "type": "tool_result",
        "content": " M .github/workflows/benchmark.yml\nRM .github/workflows/coq.yml -> .github/workflows/rocq.yml\n M .github/workflows/verification.yml",
        "is_error": false
      }
    ]
  },
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  "session_id": "a5e89bf6-e116-4d17-b4d2-802a38f82338",
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 [2025-10-27T01:15:32.670Z] [INFO] {
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 [2025-10-27T01:15:41.860Z] [INFO] {
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            {
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 [2025-10-27T01:15:43.573Z] [INFO] {
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 [2025-10-27T01:15:43.612Z] [INFO] {
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 [2025-10-27T01:15:47.866Z] [INFO] {
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        "text": "Now let me verify that I haven't missed anything by searching for remaining occurrences of \"Coq\" or \"coq\":"
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 [2025-10-27T01:15:48.361Z] [INFO] {
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 [2025-10-27T01:15:49.354Z] [INFO] {
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 [2025-10-27T01:15:49.479Z] [INFO] {
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      {
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        "type": "tool_result",
        "content": "Found 11 files\n/tmp/gh-issue-solver-1761527408027/.git/COMMIT_EDITMSG\n/tmp/gh-issue-solver-1761527408027/.github/workflows/benchmark.yml\n/tmp/gh-issue-solver-1761527408027/.github/workflows/verification.yml\n/tmp/gh-issue-solver-1761527408027/.github/workflows/rocq.yml\n/tmp/gh-issue-solver-1761527408027/.gitignore\n/tmp/gh-issue-solver-1761527408027/proofs/p_not_equal_np/README.md\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_decidable/README.md\n/tmp/gh-issue-solver-1761527408027/proofs/p_vs_np_undecidable/README.md\n/tmp/gh-issue-solver-1761527408027/ISSUE_28_RESPONSE.md\n/tmp/gh-issue-solver-1761527408027/SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md\n/tmp/gh-issue-solver-1761527408027/experiments/issue28_verification.md"
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  "uuid": "9bfb2b0c-ba2e-40e4-8b70-816d4fd079cc"
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 [2025-10-27T01:15:49.549Z] [INFO] {
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      {
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        "content": "02c4177 Rename Coq workflow to Rocq and update all references\n9414873 Update documentation references from Coq to Rocq\nb0f9a58 Update Rocq file imports from Coq.* to Rocq.*\n0f9a077 Rename coq directories to rocq\n97bf179 Initial commit with task details for issue #328",
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 [2025-10-27T01:15:53.440Z] [INFO] {
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        "text": "Let me check these remaining occurrences to see if they're intentional (like in variable names, file paths, or technical references that should be kept):"
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    ],
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 [2025-10-27T01:15:54.280Z] [INFO] {
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        "id": "toolu_017wqodsikwE7TJCuFbbpooF",
        "name": "Grep",
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          "-n": true,
          "path": ".github/workflows/rocq.yml"
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 [2025-10-27T01:15:54.356Z] [INFO] {
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        "type": "tool_result",
        "content": "9:      - 'coq-*.opam'\n16:      - 'coq-*.opam'\n45:    - name: Build Rocq project using docker-coq-action\n47:      uses: coq-community/docker-coq-action@v1\n57:              coq_makefile -f _CoqProject -o Makefile.coq\n58:              make -f Makefile.coq"
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 [2025-10-27T01:16:00.478Z] [INFO] {
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    "content": [
      {
        "type": "text",
        "text": "These are legitimate references to:\n1. `coq-*.opam` - opam package files (standard naming)\n2. `docker-coq-action` - the GitHub Action name (maintained by coq-community)\n3. `coq_makefile`, `_CoqProject`, `Makefile.coq` - standard Coq/Rocq build tools\n\nLet me check the .gitignore:"
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 [2025-10-27T01:16:00.996Z] [INFO] {
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 [2025-10-27T01:16:01.060Z] [INFO] {
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 [2025-10-27T01:16:07.139Z] [INFO] {
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        "text": "These are build artifact names that should stay as `Makefile.coq` because that's what the build tools generate. Let me check the READMEs for any that need updating:"
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 [2025-10-27T01:16:07.930Z] [INFO] {
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 [2025-10-27T01:16:08.083Z] [INFO] {
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        "content": "102:```coq"
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 [2025-10-27T01:16:11.433Z] [INFO] {
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        "text": "This is a code fence marker which is fine. Let me check a few more to make sure:"
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 [2025-10-27T01:16:12.286Z] [INFO] {
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 [2025-10-27T01:16:16.344Z] [INFO] {
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        "content": "73:      uses: coq-community/docker-coq-action@v1\n83:              coq_makefile -f _CoqProject -o Makefile.coq\n84:              make -f Makefile.coq"
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 [2025-10-27T01:16:29.860Z] [INFO] {
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        "content": " .github/workflows/benchmark.yml                    | 56 +++++++++++-----------\n .github/workflows/{coq.yml => rocq.yml}            | 38 +++++++--------\n .github/workflows/verification.yml                 | 30 ++++++------\n .gitignore                                         |  2 +-\n ISSUE_27_ANALYSIS.md                               | 10 ++--\n ISSUE_28_RESPONSE.md                               |  2 +-\n P_VS_NP_INDEPENDENCE_STRATEGIES.md                 | 10 ++--\n README.md                                          | 12 ++---\n SOLUTION_STRATEGIES.md                             | 10 ++--\n SOLUTION_STRATEGIES_FOR_P_VS_NP_DECIDABILITY.md    | 22 ++++-----\n TOOLS_AND_METHODOLOGIES.md                         |  6 +--\n experiments/issue28_verification.md                |  2 +-\n proofs/basic/{coq => rocq}/Basic.v                 | 10 ++--\n proofs/experiments/README.md                       |  4 +-\n .../experiments/{coq => rocq}/PvsNPProofAttempt.v  | 10 ++--\n proofs/p_eq_np/{coq => rocq}/PvsNP.v               |  6 +--\n proofs/p_not_equal_np/README.md                    |  4 +-\n proofs/p_not_equal_np/{coq => rocq}/PNotEqualNP.v  |  8 ++--\n proofs/p_vs_np_decidable/README.md                 | 14 +++---\n proofs/p_vs_np_decidable/{coq => rocq}/PSubsetNP.v |  4 +-\n .../{coq => rocq}/PvsNPDecidable.v                 | 10 ++--\n proofs/p_vs_np_undecidable/README.md               | 22 ++++-----\n .../{coq => rocq}/PvsNPUndecidable.v               |  8 ++--\n 23 files changed, 150 insertions(+), 150 deletions(-)",
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 [2025-10-27T01:16:29.890Z] [INFO] {
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 [2025-10-27T01:16:36.742Z] [INFO] {
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        "content": "To https://github.com/konard/p-vs-np.git\n   97bf179..02c4177  issue-328-039f85d0 -> issue-328-039f85d0",
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        "text": "Excellent! Let me now create a summary of what was accomplished:\n\n## Summary\n\nI have successfully completed the migration from \"Coq\" to \"Rocq\" throughout the repository as requested in issue #328. Here's what was done:\n\n### ✅ Completed Tasks\n\n1. **Directory Structure (6 directories renamed)**\n   - `proofs/basic/coq/` → `proofs/basic/rocq/`\n   - `proofs/experiments/coq/` → `proofs/experiments/rocq/`\n   - `proofs/p_eq_np/coq/` → `proofs/p_eq_np/rocq/`\n   - `proofs/p_not_equal_np/coq/` → `proofs/p_not_equal_np/rocq/`\n   - `proofs/p_vs_np_decidable/coq/` → `proofs/p_vs_np_decidable/rocq/`\n   - `proofs/p_vs_np_undecidable/coq/` → `proofs/p_vs_np_undecidable/rocq/`\n\n2. **Source Code Updates (7 files)**\n   - Updated all `Require Import Coq.*` to `Require Import Rocq.*`\n   - Updated comments mentioning \"Coq\" to \"Rocq\"\n\n3. **Documentation Updates (13 files)**\n   - README.md\n   - All markdown files with Coq references\n   - .gitignore comment updated\n\n4. **GitHub Actions Workflows (3 files)**\n   - Renamed `.github/workflows/coq.yml` to `rocq.yml`\n   - Updated all workflow names, steps, and variables\n   - Updated verification.yml and benchmark.yml\n\n### 📊 Statistics\n- **Total files changed**: 23\n- **Total changes**: 150 insertions, 150 deletions\n- **Commits created**: 4 well-structured commits\n- **PR status**: Ready for review\n\n### 🔗 Pull Request\nThe changes are available in **[PR #426](https://github.com/konard/p-vs-np/pull/426)**, which is now marked as ready for review.\n\nAll changes follow the repository's coding standards and commit message conventions, maintaining backward compatibility where necessary (e.g., build tool names like `coqc`, `Makefile.coq` remain unchanged as they are standard naming conventions)."
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 [2025-10-27T01:17:32.586Z] [INFO] 

 ✅ Claude command completed
 [2025-10-27T01:17:32.588Z] [INFO] 📊 Total messages: 0, Tool uses: 0
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 🔍 Checking for uncommitted changes...
 [2025-10-27T01:17:32.652Z] [INFO] ✅ No uncommitted changes found
 [2025-10-27T01:17:32.655Z] [INFO] 🔄 Cleanup:                  Reverting CLAUDE.md commit
 [2025-10-27T01:17:32.656Z] [INFO]    Using saved commit hash: 97bf179...
 [2025-10-27T01:17:32.700Z] [INFO] 📦 Committed:                CLAUDE.md revert
 [2025-10-27T01:17:34.420Z] [INFO] 📤 Pushed:                   CLAUDE.md revert to GitHub
 [2025-10-27T01:17:34.424Z] [INFO] 
 === Session Summary ===
 [2025-10-27T01:17:34.430Z] [INFO] ✅ Session ID: a5e89bf6-e116-4d17-b4d2-802a38f82338
 [2025-10-27T01:17:34.438Z] [INFO] ✅ Complete log file: /home/hive/a5e89bf6-e116-4d17-b4d2-802a38f82338.log
 [2025-10-27T01:17:34.439Z] [INFO] 
 💡 To continue this session in Claude Code interactive mode:

 [2025-10-27T01:17:34.439Z] [INFO]    (cd /tmp/gh-issue-solver-1761527408027 && claude --resume a5e89bf6-e116-4d17-b4d2-802a38f82338)
 [2025-10-27T01:17:34.440Z] [INFO] 
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 🔍 Searching for created pull requests or comments...
 [2025-10-27T01:17:34.868Z] [INFO] 
 🔍 Checking for pull requests from branch issue-328-039f85d0...
 [2025-10-27T01:17:35.411Z] [INFO]   ✅ Found pull request #426: "Rename Coq to Rocq throughout the repository"
 [2025-10-27T01:17:35.935Z] [INFO]   ✅ PR body already contains issue reference
 [2025-10-27T01:17:35.936Z] [INFO]   ✅ PR is already ready for review
 [2025-10-27T01:17:35.937Z] [INFO] 
 📎 Uploading solution draft log to Pull Request...