Cluster: Concentric Circle #2: Midwest Auto Parts, Forge & Fleet Service Cluster (CLUSTER-AUTO-PARTS-2026) • FinCEN 31 CFR § 1010.100(ff)(5) Non-Custodial Bookkeeping Setoff ($0.00 Funds Custody)
| Theorem | Z3 Solver Result | Formal Invariant Verified |
|---|---|---|
| STRICT_NET_EQUITY_INVARIANCE — Theorem 1: Strict Balance-Sheet Net Equity Invariance (STRICT_NET_EQUITY_INVARIANCE) | Z3 UNSAT // PROVED | ∀ u ∈ V, ∀ Δ_c ≥ 0: (AR'_u − AP'_u) = (AR_u − AP_u) ∧ Σ_{u ∈ V} (AR'_u − AP'_u) = 0 |
| ASC_405_20_NOVATION_VALIDITY — Theorem 2: U.S. GAAP ASC 405-20-40-1 Multilateral Novation Validity (ASC_405_20_NOVATION_VALIDITY) | Z3 UNSAT // PROVED | ∀ e ∈ Cycles: 0 < Δ(e) ≤ w(e) ∧ Undisputed(e) = True ∧ NovationConsented(e) = True |
| FINCEN_ZERO_CUSTODY_EXEMPTION — Theorem 3: FinCEN 31 CFR § 1010.100(ff)(5) Zero-Custody Exemption (FINCEN_ZERO_CUSTODY_EXEMPTION) | Z3 UNSAT // PROVED | ∀ u ∈ V: AR_Extinguished(u) = AP_Extinguished(u) ∧ PlatformCustodialFloat = $0.00 |
| PARETO_STRICT_LIABILITY_REDUCTION — Theorem 4: Pareto Strict Liability & Financing Cost Reduction (PARETO_STRICT_LIABILITY_REDUCTION) | Z3 UNSAT // PROVED | ∀ u ∈ V_cleared: AP'_u < AP_u ∧ ClearingFee(u) < WorkingCapitalInterestSaved(u) |
| MERKLE_BLINDED_LOCAL_VERIFIABILITY — Theorem 5: Blinded 2-Edge Boundary SHA-256 Merkle Proof Integrity (MERKLE_BLINDED_LOCAL_VERIFIABILITY) | Z3 UNSAT // PROVED | ∀ C ∈ Cycles, ∀ u ∈ C: VerifyMerkleRoot(L_u, π_u, M_root) = True ∧ NonAdjacentLeaked(u) = 0 |
| Cycle ID | Directed Novation Loop | Cycle Bottleneck | Gross Debt Extinguished |
|---|---|---|---|
| CLUSTER-AUTO-PARTS-2026-CYC-01 | Erie Precision Alloy & Forge → Midwest Drivetrain Distributors → Great Lakes Brake & Rotor Co. → Heartland Commercial Fleet Repair → Prairie Freight & Carrier Services → Erie Precision Alloy & Forge → Erie Precision Alloy & Forge | $55,000.00 | $275,000.00 |