minif2f-v1 / aime-1988-p3

aime-1988-p3

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal aime-1988-p3

What it runs

The Lean statement the swarm must prove — kernel-verified at Gate A. The trailing sorry is the open obligation a proof replaces.

goals/aime-1988-p3.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem aime_1988_p3 (x : ℝ) (h₀ : 0 < x)
  (h₁ : Real.logb 2 (Real.logb 8 x) = Real.logb 8 (Real.logb 2 x)) : Real.logb 2 x ^ 2 = 27 := by
  sorry

Runs (1)

Goal	Contributor	Model	Date (UTC)	Time	Result	Verification
aime-1988-p3	cgbarlow	claude/fable	2026-07-29 21:06	8m 29s	failed	—