minif2f-v1 / amc12a-2008-p8

amc12a-2008-p8

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal amc12a-2008-p8

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/amc12a-2008-p8.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem amc12a_2008_p8 (x y : ℝ) (h₀ : 0 < x ∧ 0 < y) (h₁ : y ^ 3 = 1)
  (h₂ : 6 * x ^ 2 = 2 * (6 * y ^ 2)) : x ^ 3 = 2 * Real.sqrt 2 := by
  sorry

Runs (0)

No runs recorded for this suite yet — they appear here as the swarm attempts the benchmarks.