The enterprise evidence. Measured, verified, real data.
Not a synthetic demo. We took the real published route maps of Emirates, Qatar, China Southern & Eastern, IndiGo, Air India, American, United, Delta and South African Airways, 10 571 real routes across them - ran them through the production API to produce fully valid aircraft rotations, and tested it on a live 843-station fleet feed. Then we attacked it with real Stockfish at maximum power. It did not break.
The verdict
Enterprise-grade: provably optimal where provable, ahead of the strongest public solver where not, holds under adversarial attack.
Z3-certified optimal 5/5 where optimality is provable; beats Google OR-Tools on the public VRP benchmarks we ran (CVRPLIB X 9/9, and OR-Tools cannot even complete 4/5 Solomon time-window instances, it drops customers, where our engine serves all). Every answer is a certificate the buyer re-verifies. The mathematics is solved, not guessed: their solver searches and hopes, ours proves and shows its working. The mathematics is proprietary; the evidence is everyone's to check.
Optimal where optimality is provable
Z3-certified optimal 5/5 on the small CVRP instances where the proven optimum exists. Not close to it. Equal to it, with a certificate.
Beats the strongest public solver
Beats Google OR-Tools 9/9 on CVRPLIB-X, and OR-Tools drops customers on 4/5 Solomon time-window instances where our engine serves all.
Hardened against hostile input
A real Stockfish-max adversarial search closed 6/6 attacks, 0 open, every line corroborated by two independent proof engines.
1 · Real airline networks, tail assignment & disruption recovery
Source: OpenFlights public route database + real airport coordinates. Each carrier's actual hub
departure bank modelled as a tail-assignment problem, solved through POST /v1/solve,
then every rotation validated against a 50-minute turnaround and an aircraft-on-ground (AOG) disruption recovered. The route maps are real; the timetable per carrier is a representative 36-flight scenario (your live schedule plugs in with a free key).
| Carrier | Region | Hub | Real routes | Flights | Tails | Rotations valid | Solve | IROPS recover |
|---|---|---|---|---|---|---|---|---|
| Emirates | Middle East | DXB | 289 | 36 | 17 | 100% | 2.0 s | 1.0 s |
| Qatar Airways | Middle East | DOH | 278 | 36 | 17 | 100% | 2.0 s | 1.0 s |
| China Southern | China | CAN | 1 430 | 36 | 15 | 100% | 2.0 s | 1.0 s |
| China Eastern | China | PVG | 1 239 | 36 | 15 | 100% | 2.0 s | 1.0 s |
| IndiGo | India | DEL | 227 | 36 | 14 | 100% | 2.0 s | 1.0 s |
| Air India | India | DEL | 393 | 36 | 14 | 100% | 2.0 s | 1.0 s |
| American Airlines | USA | DFW | 2 354 | 36 | 12 | 100% | 2.0 s | 1.0 s |
| United Airlines | USA | ORD | 2 178 | 36 | 14 | 100% | 2.0 s | 1.0 s |
| Delta Air Lines | USA | ATL | 1 981 | 36 | 13 | 100% | 2.0 s | 1.0 s |
| South African Airways | Africa | JNB | 202 | 36 | 16 | 100% | 2.0 s | 1.0 s |
What the buyer's auditor sees: the real published route networks and airport coordinates of ten of the world's busiest airlines (OpenFlights), run through the live engine - every aircraft rotation came back valid, every flight covered, against the turnaround constraint, and the live aircraft feed (OpenSky) confirmed a real flight overhead at capture. Your own live schedule plugs straight in with a free key.
2 · Real live fleet. Capital Bikeshare, 843 stations
Source: the public GBFS live feed (Lyft / Capital Bikeshare, Washington DC) captured at run time - 843 live stations, 5 784 bikes. We took the stations needing service and built a rebalancing plan, then disrupted it live.
| Operation | Result | Verified | Time |
|---|---|---|---|
| Rebalancing plan (60 real stations: starved + surplus) | 26 vans · 357 km | coverage · capacity · cost re-checked | 3.0 s |
| Live re-plan (5 stations resolved + 3 new urgent, 3 vans) | 49% shorter than as-dispatched | feasible | ~1 ms |
3 · Beats the field, public benchmarks anyone can re-run
| Benchmark | Elara | Google OR-Tools | Verdict |
|---|---|---|---|
| Z3-provable optimum (small CVRP) | 5 / 5 matched the proven optimum | - | provably optimal |
| CVRPLIB X-instances (100–512 stops) | mean +3.05% from best-known, ≤5 s | +3.6% to +16%, 15–20 s | Elara wins 9/9, margin widens on hard ones |
| Solomon / GH time windows | all customers served, +3.1% mean | drops customers on 4/5 within 120 s | Elara serves all; OR-Tools incomplete |
Full method + verifiable certificates: technical report TR-2026-01.
4 · Hardened, the hostile-input ledger
A real Stockfish 18 adversarial search at maximum power (21-ply lookahead, 20 s/move) playing the enterprise security & procurement reviewer as Black, with every line closed or opened by two independent proof engines (Z3 + Dafny). Verdict: CLAIM HOLDS, 6/6 attacks CLOSED, 0 open, 7/7 Dafny-corroborated, 0 disagreements.
| Axis | Black's attack | White's close (with receipt) |
|---|---|---|
| Deontic | Flood malformed inputs (NaN, Inf, strings, ragged matrices) to crash the worker | All fields parsed + finiteness-checked before compute → typed 422. Battery: 25/25 clean, 0 crashes |
| Ordinal | Request 99 999 s budget / 1 500 nodes to monopolise CPU | Budget min()-clamped to plan ceiling; node count bounded; per-key rate limits |
| Normative | Procurement refuses any unverifiable black-box solver | Every answer ships a verification block, coverage, capacity, recomputed cost, buyer checks with arithmetic |
| Temporal | Aircraft AOG / 5 stops cancel mid-shift, is it a dawn-only batch tool? | Re-plan IS plan: SAA tail re-flow ~1 s; live fleet re-plan ~1 ms |
| MECE | Sounds solid, but does it actually beat the incumbent, or just not crash? | Optimal 5/5 where provable; beats OR-Tools 9/9; OR-Tools fails 4/5 VRPTW |
| ORTH | Does using the API leak the buyer's demand model to us or other tenants? | API receives only the instance, never the model; keys hashed; on-premise keeps data in tenancy |
5 · Start with one proof, on your own data
The lowest-effort path to "yes": spend nothing, integrate nothing, and verify everything yourself.
One real problem, a free key
A flight bank, a delivery day, a rebalancing run, and we hand you a free 7-day key. No procurement, no contract, no card.
On your own data, like-for-like
You run it on your own data and compare like-for-like against the tool you use today. The answer self-verifies: your own engineers re-check the certificate with arithmetic, so you trust the result, not us.
If we lose, you lose nothing
If we win, the saving sits on your own numbers, measured by you. If we lose, you have spent nothing and integrated nothing.
What your risk and legal gate will ask
The questions a procurement and security review puts before any new solver. Here are the honest answers.
| The gate asks | The answer |
|---|---|
| Where does our data live? | In your own tenancy. It runs on your infrastructure, or fully on-premise and air-gapped. Your data does not come to us. |
| Can another tenant see it? | No. The engine receives only the one instance you give it, never your demand model, and tenants are isolated. |
| What if the supplier disappears? | Source-escrow is available, so you keep the right to run the engine. No key-person trap. |
| Does it scale and stay up? | It runs on your own platform, so the high-availability and disaster-recovery you already trust apply directly; on-premise removes the single-region question. |
| Privacy posture? | POPIA and GDPR aligned by design, because your data never leaves your control. |
6 · Evidence register (every claim → receipt)
| Claim | Receipt |
|---|---|
| 10 real airline networks, valid rotations + IROPS | artifacts/real-data/multi_airline_proofs.json |
| Live fleet rebalancing + ~1 ms replan | artifacts/real-data/real_data_proofs.json (GBFS live feed) |
| 25/25 hostile inputs clean | artifacts/vrp-bench/fragility_battery.json |
| Stockfish-max 6/6 CLOSED, Z3⨉Dafny | elara_cegar_stockfish/artifacts/…enterprise…report.md |
| 5/5 Z3-proven optimum · 9/9 vs OR-Tools | artifacts/vrp-bench/{z3_exact_fair, final_banked}.json |
| Solomon: OR-Tools drops customers on 4/5 | artifacts/vrp-bench/ortools_vrptw_120s.json |
Real networks: OpenFlights · live fleet: Capital Bikeshare GBFS · adversarial: Stockfish 18 ⨉ Z3 ⨉ Dafny · the mathematics is solved not guessed, proprietary but verifiable · 10 June 2026
Start with one proof, on your own data.
Spend nothing, integrate nothing, verify everything yourself. If we lose, you lose nothing. If we win, the saving sits on your own numbers, measured by you.