-- Maclain Hunter: Machine Semantics Programming Platform Designed by Maclain Hunter
-- Exact authored source SHA-256: 7708862fbb4faeed369931fa1c0cc59ea96b840fad81ec6702e4197cbfebf3d0
-- 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

theorem inference_2 (v0 v1 v2 v3 v4 v5 : Bool) :
    ((!(((((v0 && v1) && v2) && v3) && v4) && v5)) || ((!v5) || (((v0 && v1) && (v2 && v3)) && v4))) = true := by
  cases v0 <;> cases v1 <;> cases v2 <;> cases v3 <;> cases v4 <;> cases v5 <;> decide
#print axioms inference_2

end HunterAuthored