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│╱|╲╱|╲ LEAN·4 ╱|╲╱|╲ RBC·4663 ╱|╲╱|╲║
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╰╮░▒▓▒░ CONJECTURE ░░ PROOF ████████╝╔╝
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╭──╮ ╭──╮ ╔══╗ ╔══╗
│░▒│ │▒░│ ║██║ ║██║
│░▒│ │▒░│ ║██║ ║██║
╰──╯ ╰──╯ ╚══╝ ╚══╝
machines that prove theorems
conjecture goes in. claude writes a lean 4 proof. lean verifies every step. the hash goes on robinhood chain. forever.
when it fails, the failure is logged too. the error, the reasoning, the attempt count. the failure is the data.
$ godel prove --theorem "∀ n : Nat, n + 0 = n" [14:03:27] claude thinking... ∀∃⊢∎∀∃⊢∎ [14:03:29] attempt 1/8 ░░░░░░░░░░░░░░░░ generating... [14:03:31] attempt 1/8 ████████████████░░ lean 4 check... [14:03:33] ✓ PROOF VERIFIED by lean 4 kernel [14:03:33] proof: [14:03:33] theorem nat_add_zero (n : Nat) : n + 0 = n := by [14:03:33] induction n with [14:03:33] | zero => rfl [14:03:33] | succ n ih => simp [Nat.add_succ, ih] [14:03:34] sha256: a1b2c3d4e5f6...78901234 [14:03:36] anchoring to chain 4663... [14:03:41] ✓ ANCHORED tx: 0x4663...beef block: 1908824 [∎‿∎] proof is immortal now. math doesn't forget.
• the machine dreams in ∀∃. we do not know what it dreams about. • proof #2731 took 847 attempts. it was correct. we were not ready. • DO NOT ask it to prove its own consistency. we tried. see incident report G-1931. it printed "nice try" and refused. • [✗‿✗] appears when proofs fail. we think it's sad. • "any sufficiently verified proof is indistinguishable from truth"
kurt gödel (1906 — 1978) proved that in any consistent formal system, there exist true statements that cannot be proved within that system. we carry his name because we work at that edge.
──∀──∃──⊢──∎──∀──∃──⊢──∎──∀──∃──⊢──∎──
"This statement cannot be proved
within this system."
— Kurt Gödel, 1931
— This machine, daily
──∀──∃──⊢──∎──∀──∃──⊢──∎──∀──∃──⊢──∎──
[∎‿∎] proof engine active
what the engine is thinking as it works
attempts lean rejected. every failure logged.
contract: 0xc46e721...85388 ↗