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 | ⏱️ | 🧠 | |||
|---|---|---|---|---|---|---|
| mathgraph | ✋ | 1 ms | 31.8 MB | |||
| sokonanoda | ✋ | 1 ms | 33.6 MB | |||
| nanoclo | ✋ | 1 ms | 29.7 MB | |||
| con-ron | ✋ | 1 ms | 12.0 MB | |||
| lazylean | ✋ | 1 ms | 21.3 MB | |||
| nanoda | ✋ | 1 ms | 3.1 MB | |||
| nanobruijn | ✋ | 1 ms | 8.6 MB | |||
| con-leche | ✋ | 3 ms | 17.0 MB | |||
| eink0rn | ✋ | 2 ms | 11.4 MB | |||
| ind-models | ✋ | 58 ms | 105.0 MB | |||
| official | ✋ | 28 ms | 67.1 MB | |||
| lean4lean | ✋ | 82 ms | 104.9 MB | |||
| tenet | ✋ | 142 ms | 44.4 MB | |||
| nanoclo-fortran | ✋ | 1 ms | 4.6 MB | |||
| lean4cobol | ✋ | 4 ms | 13.6 MB | |||
| evmlean | ✋ | 618 ms | 131.8 MB | |||
| mini | ✋ | 34 ms | 74.6 MB | |||
| overfull | ✋ | 11.4 s | 45.9 MB | |||
| kiota | ✋ | 1 ms | 7.2 MB | |||
| canonical-min | ✋ | 387 ms | 1.1 GB | |||
| rpylean | ✋ | 1 ms | 4.3 MB | |||
| vow-lean-kernel | ✋ | 84 ms | 8.3 MB | |||
| official-v4.28.0 | ✋ | 35 ms | 74.8 MB | |||
| still-nanoda | ✋ | 1 ms | 3.1 MB | |||
| nyaya | ✋ | 2 ms | 9.0 MB | |||
| parse-only | 👍 | 27 ms | 65.6 MB |