COMMAND TRANSCRIPT — 2026-08-06
All commands run, in order. Windows commands via PowerShell 5.1; Linux
commands via `wsl -d Ubuntu -u root [--cd <dir>] -- <cmd>`.

=== PHASE 1: INVENTORY (Windows host, read-only) ===
Get-CimInstance Win32_OperatingSystem | Select Caption,Version,BuildNumber,OSArchitecture
Get-CimInstance Win32_Processor | Select Name,NumberOfCores,NumberOfLogicalProcessors,MaxClockSpeed
Get-CimInstance Win32_ComputerSystem   # TotalPhysicalMemory, HypervisorPresent
Get-CimInstance Win32_LogicalDisk -Filter "DriveType=3"
$PSVersionTable.PSVersion
git --version
wsl --status
wsl -l -v
wsl --version
Get-CimInstance Win32_OptionalFeature -Filter "Name='VirtualMachinePlatform' OR Name='Microsoft-Windows-Subsystem-Linux' OR Name='HypervisorPlatform'"
Get-Command python,python3,py,curl,elan,lean,lake
python --version

=== DISTRIBUTION INSTALL (approved by user before execution) ===
wsl --install -d Ubuntu --no-launch
wsl -l -v

=== PHASE 1b: INVENTORY (inside Ubuntu 26.04) ===
head -4 /etc/os-release
git --version          # 2.53.0 — PRESENT, no apt install needed
python3 --version      # 3.14.4
curl --version         # 8.18.0
nproc ; free -h ; df -h /

=== MEMORY RECONFIGURATION (approved by user before execution) ===
# wrote C:\Users\Andrei\.wslconfig  ->  [wsl2] memory=24GB / swap=16GB
wsl --shutdown
free -h                # 23Gi + 16Gi swap confirmed
sha256sum /root/audits/pinned/ConnesRigidity.lean   # unchanged across restart

=== PHASE 2: CLONE AND PIN ===
mkdir -p /root/audits
git -c core.autocrlf=false -c core.eol=lf clone https://github.com/openai/ten-proofs /root/audits/ten-proofs
git -C ... remote -v
git -C ... rev-parse HEAD
git -C ... log -1 --format=%H%n%cI%n%aI%n%s
git -C ... rev-parse "HEAD^{tree}"
git -C ... rev-parse HEAD:ConnesRigidity.lean
sha256sum   .../ConnesRigidity.lean
wc -c ; wc -l ; tail -c 1 ; grep -c $'\r'      # CRLF integrity: 0 CR bytes
git -C ... status --porcelain=v1
git -C ... submodule status
git -C ... config --list --show-origin --includes
git -C ... ls-remote origin refs/heads/main    # BASELINE
git -C ... rev-list --count HEAD               # 1 commit
git -C ... branch -a ; git -C ... tag
command -v git-lfs                             # NOT INSTALLED
ls -la .../.gitattributes                      # ABSENT
git -C /root/audits/ten-proofs worktree add --detach /root/audits/pinned 94bc0feb6a9ff12c7d31d6de640a725c9d43d2b6
git -C /root/audits/pinned rev-parse HEAD ; sha256sum ; wc -lc     # re-verified in worktree
cd /root/audits/pinned && sha256sum ConnesRigidity.lean lean-toolchain lakefile.toml lake-manifest.json formalization.yaml ComparatorChallenges/E_ConnesRigidity.json
for f in <those 6>; do git rev-parse HEAD:$f; done

=== PHASE 3: BUILD CONTRACT ===
cat README.md ; cat lakefile.toml ; cat ComparatorChallenges/README.md
cat ComparatorChallenges/E_ConnesRigidity.json
cat ComparatorChallenges/E_ConnesRigidity.lean
ls -la ComparatorChallenges/

=== PHASE 4: TOOLCHAIN ===
curl -sSfL https://elan.lean-lang.org/elan-init.sh -o /root/elan-init.sh
sha256sum /root/elan-init.sh    # a620ff1641616222c8d37c54845492004bb84d6877cdbc944dd65c1aa685bf53
sh /root/elan-init.sh -y --default-toolchain none
/root/.elan/bin/elan --version                       # 4.2.3
cd /root/audits/pinned && lake --version             # 5.0.0-src+8c9756b (Lean 4.32.0)
lean --version ; elan toolchain list
git status --porcelain=v1                            # clean after install
lake exe cache get                                   # exit 0, 8639 files
git status --porcelain=v1 ; sha256sum lake-manifest.json   # unchanged
find .lake/build -name 'ConnesRigidity*'             # ABSENT before build
find .lake/packages/mathlib/.lake/build/lib -name '*.olean' | wc -l   # 8275

=== PHASE 5: BUILD ===
lake build --jobs 4 ConnesRigidity                   # exit 1 — no such flag
lake --help ; lake help build                        # confirmed: no -j in Lake 5.0.0
env LEAN_NUM_THREADS=4 /usr/bin/time -v lake build ConnesRigidity   # exit 0, 5:31.95
ls -la .lake/build/lib/lean/ConnesRigidity.*
git status --porcelain=v1 ; sha256sum ConnesRigidity.lean lake-manifest.json

=== PHASE 6: #print axioms ===
# harness written to E:\PAPE\audit-output\print_axioms.lean (OUTSIDE the clone)
env LEAN_NUM_THREADS=4 /usr/bin/time -v lake env lean /mnt/e/PAPE/audit-output/print_axioms.lean
lake env lean /mnt/e/PAPE/audit-output/print_axioms.lean > /mnt/e/PAPE/audit-output/print_axioms_raw.txt 2>&1

=== PHASE 6/7: SOURCE SEARCHES AND STRUCTURE ===
grep -c -w -- {sorry,sorryAx,admit,axiom,unsafe,opaque,implemented_by,extern,native_decl,partial} ConnesRigidity.lean
grep -rnw --include='*.lean' -e sorry -e sorryAx -e admit --exclude-dir=.lake .
grep -cE '^(noncomputable |private |protected |scoped )*(def|theorem|lemma|abbrev|structure|instance|inductive|class) ' ConnesRigidity.lean
grep -nE '<Phase-7 identifier alternation>' ConnesRigidity.lean
grep -n 'shiftedCarry' ConnesRigidity.lean
grep -c 'SemidirectProduct' ConnesRigidity.lean
sed -n '13639,13660p;13678,13696p;13700,13706p;14060,14075p;36954,36970p;37340,37374p' ConnesRigidity.lean

=== PHASE 5b: COMPARATOR ===
apt-get update -qq && apt-get install -y -qq golang-go cargo     # go1.26.0 / cargo 1.93.1
lake build @Comparator/comparator @lean4export/lean4export       # exit 0, 25 jobs
dmesg | grep -i landlock                                         # "landlock: Up and running."
go install github.com/Zouuup/landrun/cmd/landrun@latest          # FAILED: module path casing
export GOBIN=/usr/local/bin && go install github.com/zouuup/landrun/cmd/landrun@main   # OK, v0.1.18
git clone --depth 1 https://github.com/ammkrn/nanoda_lib /root/nanoda_lib
cd /root/nanoda_lib && cargo build --release && cp target/release/nanoda_bin /usr/local/bin/
sha256sum /usr/local/bin/landrun /usr/local/bin/nanoda_bin .../comparator .../lean4export
git -C .lake/packages/{Comparator,lean4export,Lean4Checker} rev-parse HEAD
# non-root attempt (abandoned — lake tried to re-clone Comparator package):
useradd -m -s /bin/bash auditor ; chmod o+rx /root ; chmod -R o+rX /root/.elan /root/audits
su auditor -c "cd /root/audits/pinned && lake env printenv LEAN_PATH"    # permission denied; ABORTED
# RUN 1 (real landrun):
env COMPARATOR_LEAN4EXPORT=.../lean4export /usr/bin/time -v lake env .../comparator ComparatorChallenges/E_ConnesRigidity.json   # exit 1
grep -n 'lean4export\|args :=' .lake/packages/Comparator/Main.lean
sed -n '1,60p' .lake/packages/lean4export/Main.lean
lake env .../lean4export ComparatorChallenges.E_ConnesRigidity -- Nat    # WORKS directly
# RUN 2 (fake-landrun shim, NO SANDBOX):
env COMPARATOR_LEAN4EXPORT=... COMPARATOR_LANDRUN=.../scripts/fake-landrun.sh /usr/bin/time -v lake env .../comparator ComparatorChallenges/E_ConnesRigidity.json   # exit 0

=== PHASE 8: PYTHON REPRODUCTION (independent of everything above) ===
(Get-FileHash -Algorithm SHA256 'E:\PAPE\verify_sp4_gauge.py').Hash
sha256sum /mnt/e/PAPE/verify_sp4_gauge.py
python3 --version
python3 /mnt/e/PAPE/verify_sp4_gauge.py                          # exit 0

=== FINAL VERIFICATION ===
git -C /root/audits/pinned status --porcelain=v1                 # clean
sha256sum ConnesRigidity.lean + 5 contract files                 # all unchanged
git -C /root/audits/pinned ls-remote origin refs/heads/main       # 94bc0feb... == baseline
git -C /root/audits/pinned rev-parse HEAD                        # 94bc0feb...
