combibench-v1 / balticway-2015-p7

balticway-2015-p7

open

difficulty 4

credited

Run this goal:./swarm/run.sh --goal balticway-2015-p7

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/balticway-2015-p7.lean

import Mathlib

open SimpleGraph Finset
abbrev Ladies := Fin 100

theorem balticway_2015_p7 (had_tea: SimpleGraph (Ladies)) [DecidableRel had_tea.Adj]
    (h_had_tea_with_56: ∀ l : Ladies, had_tea.degree l = 56)
    (h_board: ∃ board : Finset Ladies, board.card = 50 ∧ had_tea.IsClique board) :
    ∃ group1 group2: Finset Ladies,
      group1 ∪ group2 = Finset.univ
      ∧ Disjoint group1 group2
      ∧ had_tea.IsClique group1
      ∧ had_tea.IsClique group2 := by
  sorry

Runs (0)

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