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REVIEW 3 major objections 5 minor 12 cited by

The Fifth International Verification of Neural Networks Competition (VNN-COMP 2024): Summary and Results

T0 review · 3 major / 5 minor · reviewed 2026-08-10 · deepseek-v4-flash

Pith's one-line read Neural-network verifiers are converging on GPU-accelerated linear bound propagation wrapped in branch-and-bound, the 2024 VNN-COMP results show.

desk verdict A transparent, reproducible competition record whose top-ranking conclusion is plausible but rests on a scoring convention that trusts UNSAT—a limitation the authors themselves acknowledge. read the letter →

arxiv 2412.19985 v1 pith:QBLB452D submitted 2024-12-28 cs.LG cs.AI

classification cs.LGcs.AI
keywords neuralnetworkverificationVNN-COMP2024adversarialrobustnessboundpropagationbranch-and-boundformalbenchmarksGPUacceleration
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

This report argues that the field of neural-network verification is converging on a single winning recipe: GPU-accelerated linear bound propagation inside a branch-and-bound loop. The evidence comes from the fifth annual VNN-COMP, where eight teams competed on twelve regular and eight extended benchmarks under standardized formats, equal-cost hardware, and an automated evaluation pipeline. The α,β-CROWN tool placed first in both the regular track (1200.0 points) and the extended track (900.0 points), with the abstract-interpretation tool PyRAT second in both. The report's central conclusion is that the best-performing tools seem to converge to this design, and that standardization and automation are lowering the barrier for practitioners.

What carries the argument

The mechanism that carries the argument is the pair (branch-and-bound, linear bound propagation): a complete search splits the verification problem into subproblems by branching on unstable ReLU neurons or input regions, while affine lower and upper bounds are propagated through the network, tightened by gradient-based optimization, split constraints, and cutting planes, with GPUs making the propagation fast enough to scale to large networks. The competition's scoring protocol—10 points per correct verdict, -150 per incorrect verdict, zero for timeouts, and per-benchmark normalization to 100—is the measurement device that turns raw tool outputs into the rankings.

What would settle it

Rerun the 2024 benchmark suite with an independent ground truth—for example, by seeding hidden counterexamples that participants cannot see, or by cross-checking every UNSAT verdict with a different complete solver family—and check whether any tool's UNSAT answers on contested instances are wrong; if even one is wrong, the affected scores and rankings change.

Watch

Extended reading notes

Core claim

The competition data show that the top verifiers now cluster around a single algorithmic family: complete branch-and-bound search whose bound-tightening engine is a GPU-optimized linear bound propagator. α,β-CROWN, the winner of both scored tracks, combines CROWN-style affine bound propagation with α-CROWN's joint optimization of intermediate and final bounds, β-CROWN's per-neuron split constraints, cutting planes from GCP-CROWN and BICCOS, and branching for general nonlinearities via GenBaB. The runner-up, PyRAT, uses abstract-interpretation domains on CPU and GPU with its own branch-and-bound heuristics. The report presents per-benchmark scores, cactus plots, and counts of verified and falsified instances to support the conclusion that this convergence is real, while also documenting format-related scoring issues that changed several tools' standings.

Load-bearing premise

The scoring system trusts a tool's proof of safety (UNSAT) whenever no participating tool produces a valid counterexample within the timeout, so a tool that falsely reports "safe" on instances where everyone else times out would be awarded points for a wrong answer.

Editorial extensions

If this is right

  • If the convergence holds, future verifier development will focus on making bound propagation tighter and faster, and on branching strategies, rather than on entirely new algorithm families.
  • The success of α,β-CROWN, whose code is openly available, means the state of the art is reproducible and can be adopted by practitioners and researchers.
  • Large and architecturally rich networks—Vision Transformers, VGGNet-16, generative models, neural Lyapunov controllers—are now within reach of complete verification on standard cloud hardware.
  • The documented format-related penalties and soundness issues (e.g., Marabou's unsound UNSAT on ViT benchmarks) show that scoring and soundness checking need more rigorous treatment in future editions.
  • The standardized ONNX/VNN-LIB pipeline and automated evaluation process reduce the overhead of comparing verification tools, making the competition useful beyond the participants.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If the trend continues, competition rankings will increasingly be decided by engineering details—GPU utilization, cut management, branching heuristics—rather than by the choice of the core algorithm family.
  • The scoring protocol's burden-of-proof rule could be probed directly: a tool that silently returns UNSAT on hard instances where all competitors time out would be rewarded, so a dedicated soundness benchmark with hidden counterexamples would complement the current leaderboard.
  • The convergence suggests that incomplete verifiers, such as plain abstract interpretation without branch-and-bound, will keep losing ground on hard benchmarks but may remain attractive for easy instances where low latency matters more.
  • The same bound-propagation engine that wins verification competitions is also used for certified training, so progress in the competition is likely to feed back into training verifiably robust models.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

3 major / 5 minor

Summary. The paper reports the rules, benchmarks, participating tools, and results of VNN-COMP 2024, the fifth iteration of the International Verification of Neural Networks Competition. It describes the scoring protocol, the two-track setup (regular and extended), the 8 participating tools, and the benchmark suite, and it presents detailed instance-level results. The central conclusion is that the best-performing tools converge to GPU-enabled linear bound propagation methods using a branch-and-bound framework, with α,β-CROWN achieving first place in both the regular track (Table 6, score 1200.0) and the extended track (Table 7, score 900.0).

Significance. If the results are accepted, this paper provides a valuable community resource: a reproducible, standardized evaluation pipeline, an openly available set of benchmarks and results, and a snapshot of the state of the art in neural network verification as of 2024. The paper is transparent about known issues, including Marabou's unsoundness on ViT benchmarks and the output-format penalties for NeuralSAT and CORA, and it makes raw results and scoring scripts publicly available. The main limitation is that the scoring protocol trusts UNSAT answers without independent soundness validation, which makes the reported ranking conditional on the soundness of the participating tools.

major comments (3)
  1. [Section 2, Instance score] The scoring protocol awards 'correct hold' points to any tool that reports UNSAT when no participating tool produces a valid counterexample within the timeout. This means an unsound UNSAT answer is awarded points and is never penalized unless another tool happens to find a counterexample. The paper itself documents this failure mode in the Section 3.3 footnote: Marabou's competition version was unsound on the ViT benchmarks because Gurobi could report 'Infeasible' where counterexamples exist. Since the central ranking in Tables 6 and 7 relies on large numbers of default-trusted UNSAT results (e.g., 194 in NN4Sys, 84 in ViT, 40 in LSNC), a few undetected false UNSATs would incur -150-point penalties and could change the normalized benchmark scores and the overall ranking. The paper should either validate a sample of UNSAT results with an independent complete verifier or a soundness-focused benchmark, or explicitly state in the abstract and conclusion that the ranking is conditional on the soundness of the reported UNSAT answers.
  2. [Abstract and Section 5.2] The abstract states that VNN-COMP 2024 had '12 regular and 8 extended benchmarks,' but the extended track results in Appendix A.2 contain nine scored benchmark tables: cctsdb-yolo-2023, collins-aerospace-benchmark, lsnc, ml4acopf-2023, ml4acopf-2024, traffic-signs-recognition-2023, vggnet16-2023, vit-2023, and yolo-2023. The ml4acopf benchmark is split into two scored tables, which suggests nine scored benchmarks unless the paper explicitly defines ml4acopf as a single benchmark with two sub-benchmarks. This inconsistency should be resolved by correcting the count or clarifying the benchmark definition.
  3. [Section 5.1 and Appendix B] The main text Table 6 reports NeuralSAT with a score of 0 in the regular track, while Appendix B Table 35 reports NeuralSAT with a score of 1113.1 after fixing output-format issues. The 'Update' note mentions this, but the main text and abstract do not indicate which result set is the official ranking, and the two sets differ substantially in the lower half of the table. The paper should explicitly designate one set of results as the official scores and explain the implications for the reported rankings, so that readers are not left to choose between two inconsistent tables.
minor comments (5)
  1. [Section 2, heading] The section heading 'T erminology' has an erroneous space and should read 'Terminology.'
  2. [Abstract] The abstract contains 'the The 7th International Symposium on AI Verification'; remove the duplicate 'The.'
  3. [Section 3.5, nnenum description] The phrase 'propagate stes through all linear layers' should be 'propagate sets through all linear layers.'
  4. [Section 3.7, NeuralSAT description] The phrase 'the rool runs on the wide-range of benchmarks' should be 'the tool runs on the wide range of benchmarks.'
  5. [Section 4.17] The paper reports results for the Collins Aerospace, CCTSDB, Metaroom, and yolo benchmarks but states that their descriptions are not yet available; this should be marked as a temporary omission and the descriptions should be added before final publication.

Circularity Check

1 steps flagged · score 2.0 of 10

The UNSAT scoring rule makes part of the ranking an agreement score; the central conclusion is otherwise empirical and not circularly derived.

  1. self definitional [Section 2, 'Instance score' paragraph, and Tables 6/7 in Section 5]
    "However, the ground truth for any given instance is generally not known a priori. In the case of disagreement between tools, we, therefore, place the burden of proof on the tool claiming that a specification is violated, i.e. that a counterexample can be found, and deem it correct exactly if it produces a valid counterexample."

    Combined with the preceding bullet ('Correct hold (property proven): 10 points'), this rule awards UNSAT points whenever a tool reports UNSAT and no participating tool produces a valid counterexample. Thus the 'correct hold' counts feeding the normalized scores in Tables 6 and 7 are, by construction, counts of uncontradicted UNSAT reports rather than independently established property truth. The UNSAT component of the ranking therefore measures agreement among the particular set of participants, not an external ground truth. The paper itself documents the failure mode: the Section 3.3 footnote reports that Marabou's competition version returned 'Infeasible' on ViT benchmarks where counterexamples are expected, and Section 6 lists 'more rigorous soundness evaluation' as future work.

full rationale

This is a competition summary built from empirical runs, not a mathematical derivation, so most of its content is self-contained measurement rather than circular reasoning. The one definitional coupling is the UNSAT scoring rule: without an external oracle, a 'correct hold' is operationally identical to 'UNSAT report with no counterexample produced by any participant,' making part of the score self-referential. This is transparently acknowledged in the paper, which states that ground truth is not known a priori, and the paper explicitly flags soundness gaps in the ViT benchmark section ('this version of the benchmark may not be able to reflect soundness issues in verifiers') and in the future-work list. The self-citations in tool descriptions (e.g., the alpha,beta-CROWN method papers) are descriptive rather than load-bearing: the rankings are computed from actual runs, not from those citations. The SAT half of the results is independently checked through counterexample validation, so the central empirical content does not reduce to a fitted parameter or a self-citation chain. Overall, the circularity is mild and localized to the definition of UNSAT correctness, warranting a score of 2.

Assumptions & free parameters 0 free parameters · 2 assumptions · 0 invented entities

The report is an empirical competition summary; it introduces no free parameters or new entities. Its claims rest on the scoring protocol and on the correctness of the evaluation pipeline.

assumptions (2)
  • domain assumption Ground truth is determined by the burden-of-proof rule: a SAT claim is correct iff it produces a valid counterexample; UNSAT claims are accepted when no counterexample is found.
    This is the scoring rule in Section 2; it assumes that the absence of counterexamples among participating tools implies the property is truly UNSAT, which can fail if a tool is unsound.
  • domain assumption Counterexample outputs are validated using onnxruntime; missing or differing outputs in counterexample files are discarded and only inputs are used.
    Section 2 (Scoring) states that all outputs in counterexample files were discarded and evaluation was based solely on inputs and onnxruntime-computed outputs; this assumes onnxruntime correctly computes the network behavior.

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Cite this review

Pith. "Pith review of The Fifth International Verification of Neural Networks Competition (VNN-COMP 2024): Summary and Results." pith.science (2026). https://pith.science/paper/QBLB452D

@misc{pith2026241219985,
  author       = {Pith},
  title        = {Pith review of: The Fifth International Verification of Neural Networks Competition (VNN-COMP 2024): Summary and Results},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/QBLB452D}},
  note         = {Machine review of arXiv:2412.19985}
}
read the original abstract

This report summarizes the 5th International Verification of Neural Networks Competition (VNN-COMP 2024), held as a part of the 7th International Symposium on AI Verification (SAIV), that was collocated with the 36th International Conference on Computer-Aided Verification (CAV). VNN-COMP is held annually to facilitate the fair and objective comparison of state-of-the-art neural network verification tools, encourage the standardization of tool interfaces, and bring together the neural network verification community. To this end, standardized formats for networks (ONNX) and specification (VNN-LIB) were defined, tools were evaluated on equal-cost hardware (using an automatic evaluation pipeline based on AWS instances), and tool parameters were chosen by the participants before the final test sets were made public. In the 2024 iteration, 8 teams participated on a diverse set of 12 regular and 8 extended benchmarks. This report summarizes the rules, benchmarks, participating tools, results, and lessons learned from this iteration of this competition.

Figures

Figures reproduced from arXiv: 2412.19985 by the authors.

Figure 1
Figure 1. Accuracy Efficient Architecture for GTSRB and Belgium dataset [PITH_FULL_IMAGE:figures/full_fig_p018_1.png] view at source ↗
Figure 4
Figure 4. Generic approach to generating the NLP verification pipelines [18, 19] deployed to obtain the safeNLP benchmark. to train the neural network to be robust on them. The problem was that each of the existing approaches [36, 34, 77, 89, 75, 42, 25, 61, 14] used parts of this pipeline in different ways, which made it difficult to compare or audit the results. In [18, 19], we made a generic implementation of this pipeline… view at source ↗
Figure 5
Figure 5. Cactus Plot for All Instances (Regular Track). [PITH_FULL_IMAGE:figures/full_fig_p024_5.png] view at source ↗
Figures from the paper (24 more)
Figure 6
Figure 6. Figure 6: Cactus Plot for All Instances (Extended Track). [PITH_FULL_IMAGE:figures/full_fig_p025_6.png]
Figure 7
Figure 7. Figure 7: Cactus Plot for acasxu 2023. 35 [PITH_FULL_IMAGE:figures/full_fig_p035_7.png]
Figure 8
Figure 8. Figure 8: Cactus Plot for cgan 2023. 36 [PITH_FULL_IMAGE:figures/full_fig_p036_8.png]
Figure 9
Figure 9. Figure 9: Cactus Plot for cifar100. 37 [PITH_FULL_IMAGE:figures/full_fig_p037_9.png]
Figure 10
Figure 10. Figure 10: Cactus Plot for collins rul cnn 2023. 38 [PITH_FULL_IMAGE:figures/full_fig_p038_10.png]
Figure 11
Figure 11. Figure 11: Cactus Plot for cora. 39 [PITH_FULL_IMAGE:figures/full_fig_p039_11.png]
Figure 12
Figure 12. Figure 12: Cactus Plot for dist shift 2023. 40 [PITH_FULL_IMAGE:figures/full_fig_p040_12.png]
Figure 13
Figure 13. Figure 13: Cactus Plot for linearizenn. 41 [PITH_FULL_IMAGE:figures/full_fig_p041_13.png]
Figure 14
Figure 14. Figure 14: Cactus Plot for metaroom 2023. 42 [PITH_FULL_IMAGE:figures/full_fig_p042_14.png]
Figure 15
Figure 15. Figure 15: Cactus Plot for nn4sys 2023. 43 [PITH_FULL_IMAGE:figures/full_fig_p043_15.png]
Figure 16
Figure 16. Figure 16: Cactus Plot for safenlp. 44 [PITH_FULL_IMAGE:figures/full_fig_p044_16.png]
Figure 17
Figure 17. Figure 17: Cactus Plot for tinyimagenet [PITH_FULL_IMAGE:figures/full_fig_p045_17.png]
Figure 18
Figure 18. Figure 18: Cactus Plot for tllverifybench 2023. 46 [PITH_FULL_IMAGE:figures/full_fig_p046_18.png]
Figure 19
Figure 19. Figure 19: Cactus Plot for cctsdb yolo 2023. 47 [PITH_FULL_IMAGE:figures/full_fig_p047_19.png]
Figure 20
Figure 20. Figure 20: Cactus Plot for collins aerospace benchmark. [PITH_FULL_IMAGE:figures/full_fig_p048_20.png]
Figure 21
Figure 21. Figure 21: Cactus Plot for lsnc. 49 [PITH_FULL_IMAGE:figures/full_fig_p049_21.png]
Figure 22
Figure 22. Figure 22: Cactus Plot for ml4acopf 2023. 50 [PITH_FULL_IMAGE:figures/full_fig_p050_22.png]
Figure 23
Figure 23. Figure 23: Cactus Plot for ml4acopf 2024. 51 [PITH_FULL_IMAGE:figures/full_fig_p051_23.png]
Figure 24
Figure 24. Figure 24: Cactus Plot for traffic signs recognition 2023. [PITH_FULL_IMAGE:figures/full_fig_p052_24.png]
Figure 25
Figure 25. Figure 25: Cactus Plot for vggnet16 2023. 53 [PITH_FULL_IMAGE:figures/full_fig_p053_25.png]
Figure 26
Figure 26. Figure 26: Cactus Plot for vit 2023. 54 [PITH_FULL_IMAGE:figures/full_fig_p054_26.png]
Figure 27
Figure 27. Figure 27: Cactus Plot for yolo 2023. 55 [PITH_FULL_IMAGE:figures/full_fig_p055_27.png]
Figure 28
Figure 28. Figure 28: Cactus Plot for All Instances (Regular Track). [PITH_FULL_IMAGE:figures/full_fig_p057_28.png]
Figure 29
Figure 29. Figure 29: Cactus Plot for All Instances (Extended Track). [PITH_FULL_IMAGE:figures/full_fig_p057_29.png]

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 12 Pith papers

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    Semidefinite relaxation for deep ReLU verification suffers from 'interior-point vanishing' as depth increases, and removing layer-wise bound constraints mitigates it.

  4. SDP-CROWN: Efficient Bound Propagation for Neural Network Verification with Tightness of Semidefinite Programming

    cs.LG 2025-06 reject novelty 7.0 of 10

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    Probabilistic NeSy robustness can be verified approximately by compiling neural and symbolic parts into one arithmetic graph and running interval bound propagation, with an NPPP-completeness result for the exact version.

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Pith tools

Reviewed August 10, 2026 · model on record in the stance chip above.