{
 "what": "Adversarial audit of the lambda(4) proof: an independent clause walk (direct trigonometric summation + plain-arithmetic membership + record thresholds + fresh certificates) over every gcd-reduced 4-set with max element <= 30, plus closure spot-checks and a full theorem sweep.",
 "box": 30,
 "setsWalked": 25819,
 "generic": 19047,
 "clauses": {
  "d = a+c → WITNESS": 1,
  "d = b+c → FAMILY-DOT": 798,
  "d = 2c → FINITE:b=2a": 32,
  "d = a+c → FAMILY-DOT": 1565,
  "d = 2c → FAMILY-DOT": 311,
  "2d = 3c → FAMILY-DOT": 415,
  "d = 2b → FINITE": 43,
  "d = 2c → FINITE:c=a+b": 34,
  "d = a+c → FINITE:AP": 4,
  "d = 2c → CLOSURE:c=2b": 16,
  "d = a+c → FINITE:G": 17,
  "2d = 2c+b → FINITE:V2": 35,
  "d = 2b → FAMILY-DOT": 526,
  "2d = 2c+b → FAMILY-DOT": 500,
  "d = a+c → CLOSURE:AP": 66,
  "d = 2b → FINITE:U5": 31,
  "d = 2b → FINITE:U4": 30,
  "d = 2b → CLOSURE": 26,
  "d = a+c → CLOSURE:G": 14,
  "d = a+b → FAMILY-DOT": 783,
  "2d = 2c+a → FAMILY-DOT": 907,
  "2d = 2c+a → FINITE:P2": 52,
  "2d = 2c+b → FINITE:V1": 11,
  "d = 2c → CLOSURE:c=2a": 16,
  "2d = 2c+b → FINITE:V5": 1,
  "d = 2b → FINITE:U3": 31,
  "d = 2b → FINITE:U1": 20,
  "d = 2a → FAMILY-DOT": 374,
  "d = a+b → FINITE:E": 8,
  "2d = 2c+a → FINITE:P3": 22,
  "2d = 2c+b → FINITE:V6": 17,
  "2d = 2c+b → CLOSURE:V5": 10,
  "d = 2b → FINITE:U6": 30,
  "2d = 2c+b → FINITE:V7": 5,
  "d = 2b → CLOSURE:U1": 12,
  "d = a+b → CLOSURE:E": 7,
  "2d = 2c+b → CLOSURE:V7": 2
 },
 "finiteRecertified": 423,
 "sweep": {
  "sets": 25818,
  "escalatedToExact": 0,
  "refuters": 0
 },
 "meta": {
  "date": "2026-09-01",
  "git": "d76c7c1"
 }
}