-- Maclain Hunter: Consistency and Completeness by Maclain Hunter
-- Exact authored source SHA-256: 53d97c616c1c1e3268b8200c603e7bdee76d092ce2327c43e3f353043b8859a1
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

theorem inference_1 (v0 v1 v2 v3 v4 : Bool) :
    ((!((((v0 && ((!v0) || v1)) && ((!v1) || v2)) && ((!v2) || v3)) && ((!v3) || v4))) || ((!(((v0 && v1) && v2) == v3)) || v4)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide
#print axioms inference_1

end HunterAuthored