---
title: Four Certified Builds: Toroidal Proofs, Unroutability Certificates, CertBQP and a 235× Batch Service | SpinForge
url: https://spin-forge.com/proof/s13
description: 15/17: toroidal Gset instances proved optimal. 15 of 17 Toroidal Gset Instances Proved Optimal; Routing Infeasibility Certified in Seconds; Every Claim Checked.
---

GARMO SOLVERS · S13

# Four Certified Builds: Toroidal Proofs, Unroutability Certificates, CertBQP and a 235× Batch Service

15 of 17 Toroidal Gset Instances Proved Optimal; Routing Infeasibility Certified in Seconds; Every Claim Checked.

15/17 toroidal Gset instances proved optimal

0 false infeasibility certificates

12/12 k-cluster ER n = 40 proved (CertBQP)

235× batched throughput vs one by one

- Toroidal: 15/17 proved optimal, bound gaps closed vs CertCut on every instance
- Unroute: 0 false infeasibility on unmodified files; certificates in 2–76 s
- CertBQP: ER n = 40 12/12 proved; behind HiGHS on MIS and QKP
- Batch: 235× throughput, 200/200 reference hits vs 135/200
[Request the full poster by email](https://spin-forge.com/contact?product=portfolio&brief=Please%20send%20the%20full%20poster%3A%20Four%20Certified%20Builds%3A%20Toroidal%20Proofs%2C%20Unroutability%20Certificates%2C%20CertBQP%20and%20a%20235%C3%97%20Batch%20Service%20%28S13%29.%0A%0AOur%20organization%20and%20intended%20use%3A%0A)

## More garmo solvers benchmark results

- [Proof-Carrying Max-Cut on a GH200: 67 Biq Mac Optima Proved vs HiGHS's 49](https://spin-forge.com/proof/s01)
- [Weighted MaxSAT on a GH200: From 14/33/50 to 33/38/26 Against NuWLS-c-IBR](https://spin-forge.com/proof/s02)
- [Large-Instance TSP on 16 Arm Cores: 0.692 %  0.165 % Mean Gap, Still Behind LKH-3](https://spin-forge.com/proof/s03)
- [A Native QCDCL Solver vs DepQBF: From 0 vs 4 to a 15–15 Tie, Then 15 vs 18 on Fresh Instances](https://spin-forge.com/proof/s04)
- [Vehicle Routing vs PyVRP: a C++ Solver Wins 37/26/21 at Equal Budget](https://spin-forge.com/proof/s05)
- [ISPD98 Bisection: Our Partitioner Beats KaHyPar and mt-KaHyPar at Equal Budget](https://spin-forge.com/proof/s06)
- [An Evidence-Driven Solver Router: Regret 0.046 vs 0.190 for the Best Single Backend](https://spin-forge.com/proof/s07)
- [A Verified MIP Race: HiGHS, SCIP and GPU Primal Heuristics Against cuOpt on MIPLIB 2017](https://spin-forge.com/proof/s08)
- [Constraint Programming in C++: 39 of 40 Schedules Proved Optimal vs CP-SAT's 20](https://spin-forge.com/proof/s09)
- [Certified GPU Numerics: Every Answer Carries a Checkable Certificate: and Where It Costs](https://spin-forge.com/proof/s10)
- [LABS on a GH200: Exponent 1.24 to the Proven Optimum, Beside the QAOA Exponents](https://spin-forge.com/proof/s11)
- [UNISOLVE 0.16.1: One Solver Platform, 13 Problem Domains, Every Answer Checked](https://spin-forge.com/proof/s12)

[All results, charts and papers](https://spin-forge.com/proof)

Results describe the stated inputs, hardware and conditions and are not a guarantee of results in your environment. See the [Terms of Use](https://spin-forge.com/terms).