-- Maclain Hunter: Proof, God, and Consistency by Maclain Hunter
-- Exact authored source SHA-256: 47b947f1c0e36578e02e0ab662f7ab20ece3352797276b713de470ac2023ed9a
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

theorem inference_1 (v0 v1 v2 : Bool) :
    ((!((((((((((((((v0 && v1) && v2) && (v0 == v1)) && (v0 == v2)) && (v1 == v0)) && (v1 == v2)) && (v2 == v0)) && (v2 == v1)) && (v0 == v0)) && (v1 == v1)) && (v2 == v2)) && v0) && v1) && v2)) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide
#print axioms inference_1

theorem inference_2 (v0 v1 v2 : Bool) :
    ((!((((((((v0 && v1) && v2) && (v0 == v0)) && (v1 == v1)) && (v2 == v2)) && v0) && v1) && v2)) || ((v0 && v1) && v2)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> decide
#print axioms inference_2

end HunterAuthored