Lean Kernel Arena / navier-stokes-euler

Test "navier-stokes-euler"

Expected: 👍 accept · Size: 1.5 GB · Lines: 28.6 M · lean4export: 3.1.0 · Lean: 4.34.0-rc2 · Timeout: 40.0 m · 📄 Declaration · 🔗 Source

OpenAI's Lean formalization of finite-time blowup for the three-dimensional incompressible Navier–Stokes equations with smooth forcing (on Euclidean space and on the periodic torus), and of unforced Euler blowup. See https://github.com/openai/NavierStokesAndEuler/.

This test exports the main results listed in the project's formalization.yaml, together with their dependencies.

Checker Result ⏱️ 🧠
sokonanoda 👍 34.4 s (÷20) 2.0 GB (-17%)
mathgraph 👍 44.9 s (÷15) 1.9 GB (-25%)
nanoclo 👍 3.1 m (÷3.6) 2.6 GB (+6%)
con-ron 👍 3.3 m (÷3.4) 1.7 GB (-32%)
nanobruijn 👍 6.2 m (-45%) 1.7 GB (-30%)
nanoda 👍 8.2 m (-27%) 1.6 GB (-36%)
lazylean 👍 6.6 m (-41%) 1.8 GB (-29%)
con-leche 👍 7.6 m (-32%) 1.4 GB (-43%)
tenet-jvm 👍 8.2 m (-27%) 5.7 GB (×2.3)
eink0rn 👍 11.5 m (+3%) 4.3 GB (+74%)
official 👍 11.2 m (0%) 2.5 GB (0%)
ind-models 👍 13.3 m (+18%) 1.6 GB (-36%)
lean4lean 👍 13.3 m (+18%) 2.9 GB (+17%)
tenet 👍 18.6 m (+66%) 6.2 GB (×2.5)
tenet-hs 👍 18.2 m (+62%) 3.0 GB (+23%)
lean4cobol 🚫 20.3 m 1.7 GB
evmlean 🚫 307 ms 106.3 MB
mini 🚫 39 ms 73.9 MB
overfull ⌛ 0 ms 0 B
metalean-slow 🚫 58.7 s 599.2 MB
nanoclo-fortran 👍 11.0 m (-2%) 5.0 GB (×2.0)
kiota ⌛ 0 ms 0 B
metalean-fast 👍 29.4 m (×2.6) 5.8 GB (×2.3)
canonical-min 🚫 1.4 m 3.8 GB
rpylean 🚫 0 ms 0 B
vow-lean-kernel ⌛ 0 ms 0 B
parse-only 👍 1.3 m (÷8.7) 2.5 GB (0%)