Lean Kernel Arena / perf/magma-list-pair-n21

Test "perf/magma-list-pair-n21"

Expected: 👍 accept · Size: 583.1 KB · Lines: 11.0 k · lean4export: 3.1.0 · Lean: 4.34.1 · Timeout: 4.33 min · 📄 Declaration · 🔗 Source

Countermodel certificate for an equational-theories implication, closed by decide. A magma on Fin 21 with an inline List operation table satisfies x ◇ y = z ◇ w but not x = x ◇ x. Checking the certificate evaluates the decidable instance over all 21^4 ≈ 195k four-tuples; every ◇ unfolds to a linear lookup into the list. The widest search space of the magma family.

From a corpus of certificates generated for the SAIR math distillation challenge (equational theories track). magma-list-pair-n7 is the same workload at a smaller scale.

Checker Result ⏱️ 🧠
logos-kernel 👍 3.15 s (÷5.9) 4.6 GB (+17%)
nano-lean 👍 3.04 s (÷6.1) 2.6 GB (-35%)
sokonanoda 👍 5.29 s (÷3.5) 7.6 GB (+90%)
pestka 👍 4.04 s (÷4.6) 955.0 MB (÷4.3)
kefir 👍 2.87 s (÷6.4) 988.7 MB (÷4.1)
nanoclo 👍 3.71 s (÷5.0) 2.7 GB (-32%)
kefir-wasm 👍 4.51 s (÷4.1) 1.7 GB (÷2.3)
con-ron 👍 15.2 s (-18%) 5.3 GB (+33%)
con-agua 👍 23.8 s (+29%) 4.0 GB (0%)
nanoda 👍 14.2 s (-23%) 4.1 GB (+2%)
lazylean 👍 6.34 s (÷2.9) 1.3 GB (÷3.0)
con-leche 👍 31.1 s (+68%) 5.1 GB (+28%)
pestka-wasm 👍 16.2 s (-12%) 1.8 GB (÷2.2)
tenet-jvm 👍 19.6 s (+6%) 4.8 GB (+20%)
eink0rn 👍 25.0 s (+36%) 5.0 GB (+25%)
official 👍 18.5 s (0%) 4.0 GB (0%)
ind-models 👍 18.6 s (+1%) 4.0 GB (+1%)
lean4lean 👍 25.3 s (+37%) 4.1 GB (+3%)
tenet 👍 31.3 s (+69%) 6.1 GB (+54%)
tenet-hs 👍 37.4 s (×2.0) 2.4 GB (-39%)
ocaml4lean 👍 32.4 s (+76%) 5.4 GB (+37%)
lean4cobol 👍 5.35 min (×17) 8.1 GB (×2.0)
evmlean 🚫 307 ms 104.7 MB
overfull ⌛ 0 ms 0 B
vow-lean-kernel ⌛ 0 ms 0 B
mini 🚫 58.6 ms 73.1 MB
canonical-min 🚫 421 ms 1.1 GB
kiota 👍 15.4 s (-17%) 7.8 GB (+97%)
metalean-slow 🚫 61.8 ms 76.2 MB
nanobruijn 👍 17.0 s (-8%) 3.6 GB (-10%)
metalean-fast 👍 35.9 s (+95%) 5.1 GB (+29%)
nanoclo-fortran 👍 13.3 s (-28%) 10.3 GB (×2.6)
rpylean 👍 72.1 s (×3.9) 10.0 GB (×2.5)
mathgraph ✋ 8.69 s 14.6 GB
parse-only 👍 59.0 ms (÷313) 68.0 MB (÷60)