-- Maclain Hunter: Scientific Testing w/ Logic by Maclain Hunter
-- Exact authored source SHA-256: ba1c02f0d73b38a62a4481b4b41131e9e2582d22f614911db206a2e6b3c1cf63
-- Machine formalization by Replit Agent; authority below Logic/Logos/God.
import Lean
namespace HunterAuthored

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

theorem inference_2 (v0 v1 v2 v3 : Bool) :
    ((!(((((((v0 && (v0 == v1)) && (v1 == v2)) && v3) && ((!v3) || v0)) && v0) && v1) && v2)) || ((v0 && v1) && (v2 && v3))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> decide
#print axioms inference_2

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

end HunterAuthored