-- Maclain Hunter: Logic, Proof, and Coherence by Maclain Hunter
-- Exact authored source SHA-256: f7fd2ea8fc0843fe76906e92ba1a293945be1299346ac681d80c0caaca5e42a6
-- 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