-- Maclain Hunter: Validation Via Tautological Sieve
-- Exact authored source SHA-256: 7c57bf304b2a920bc99e730fa761f3d8c06b3bd11709eaa4347e0e39678ee343
-- 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)) || v4)) && ((!(v2 && v3)) || v3))) || (((!v3) || (!(v1 && v4))) && ((!v3) || v0))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> decide
#print axioms inference_1

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

theorem inference_3 (v0 v1 v2 v3 : Bool) :
    ((!((((v0 && v1) && v2) && ((!(v0 && v1)) || v3)) && ((!(v1 && v2)) || v3))) || (v3 == v1)) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide
#print axioms inference_3

end HunterAuthored