Lean Kernel Arena / bugs/nat-rec-k-lie

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