minif2f-v1 / aime-1991-p1

aime-1991-p1

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal aime-1991-p1

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-1991-p1.lean

import Mathlib

set_option maxHeartbeats 0
open BigOperators Real Nat Topology Rat

theorem aime_1991_p1 (x y : ℕ) (h₀ : 0 < x ∧ 0 < y) (h₁ : x * y + (x + y) = 71)
  (h₂ : x ^ 2 * y + x * y ^ 2 = 880) : x ^ 2 + y ^ 2 = 146 := by
  sorry

Runs (0)

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