Test "bugs/nat-rec-k-lie"
Expected: ✋ reject · Size: 6.3 KB · Lines: 106 · lean4export: 3.1.0 · Lean: 4.29.1 · 📄 Declaration
Proof of False via trusted k on Nat.rec.
Lie by claiming Nat.rec is K-like. Then replace the major premise by Nat.zero,
but nat literals bypasses K-like reduction, so two reduction rules disagree.
∀ n, g n holds by the first, and g 1 is False by the second.
A variant of bugs/rec-k-lie, which nanoda and its descendants accepted until it
was fixed; at that time, nanoda
itself rejected this variant, as it had no literal path for Nat.rec.
| Checker | Result | ⏱️ | 🧠 | |||
|---|---|---|---|---|---|---|
| sokonanoda | ✋ | 1 ms | 38.2 MB | |||
| mathgraph | ✋ | 1 ms | 33.9 MB | |||
| nanoclo | ✋ | 1 ms | 41.9 MB | |||
| con-ron | ✋ | 1 ms | 12.0 MB | |||
| nanobruijn | ✋ | 1 ms | 7.7 MB | |||
| nanoda | ✋ | 1 ms | 3.4 MB | |||
| lazylean | ✋ | 1 ms | 22.0 MB | |||
| con-leche | ✋ | 3 ms | 19.3 MB | |||
| eink0rn | ✋ | 1 ms | 12.2 MB | |||
| official | ✋ | 28 ms | 67.6 MB | |||
| ind-models | ✋ | 100 ms | 103.9 MB | |||
| lean4lean | ✋ | 82 ms | 106.1 MB | |||
| tenet | ✋ | 142 ms | 45.6 MB | |||
| tenet-hs | ✋ | 1 ms | 9.2 MB | |||
| lean4cobol | ✋ | 4 ms | 13.6 MB | |||
| evmlean | ✋ | 1.1 s | 275.6 MB | |||
| mini | ✋ | 34 ms | 73.6 MB | |||
| overfull | ✋ | 11.4 s | 46.4 MB | |||
| metalean-slow | ✋ | 30 ms | 72.0 MB | |||
| tenet-jvm | ✋ | 103 ms | 65.3 MB | |||
| nanoclo-fortran | ✋ | 1 ms | 4.4 MB | |||
| kiota | ✋ | 1 ms | 7.3 MB | |||
| metalean-fast | ✋ | 30 ms | 74.7 MB | |||
| canonical-min | ✋ | 387 ms | 1.1 GB | |||
| rpylean | ✋ | 1 ms | 4.5 MB | |||
| vow-lean-kernel | ✋ | 84 ms | 8.6 MB | |||
| parse-only | 👍 | 28 ms | 66.2 MB |