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Seeing is not Enough: Vision-Language Models Perceive Evidence but Fail to Act
Yuyang Dai, Bofei Huang, Hongbo Zhang, Haoran Xie
Intelligence
Status: succeeded | Model: Gemma-4-26B-A4B | Prompt: intel-v1 | Confidence: 93%
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Summary
This paper introduces VPAC-Bench, a benchmark for evaluating process-grounded visual reasoning in Vision-Language Models (VLMs), and proposes the State-Relevance-Target (SRT) framework. The authors distinguish between perceptual failure (missing evidence) and process failure (ignoring perceived evidence). They demonstrate that while VLMs often correctly perceive visual evidence, they frequently fail to constrain their final decisions based on it (process failure). The SRT framework, particularly when aligned with specific decision boundaries (boundary-aligned SRT), significantly reduces this failure rate compared to generic prompting or chain-of-thought baselines.
Entities (10)
Relation Signals (8)
VPAC-Bench ā evaluates ā Process Failure
confidence 95% Ā· VPAC-Bench... designed to separate process failure from perceptual failure across five frontier VLMs.
SRT ā mitigates ā Process Failure
confidence 94% Ā· An explicit process-structured intervention reduces this rate to below 13%...
VSR ā usedin ā S2
confidence 92% Ā· S2: Spatial Reasoning applies SRT to spatial relation verification on VSR...
COCO ā usedin ā S1
confidence 92% Ā· S1 establishes that process failure is distinct from perceptual failure through controlled experiments on COCO...
Qwen2.5-VL-72B ā evaluatedon ā VPAC-Bench
confidence 90% Ā· We conduct all evaluations using five frontier vision-language models: ... Qwen2.5-VL-72B...
Gemini 3.1 Pro ā evaluatedon ā VPAC-Bench
confidence 90% Ā· We conduct all evaluations using five frontier vision-language models: ... Gemini-3.1-Pro...
GPT-5.4 Mini ā evaluatedon ā VPAC-Bench
confidence 90% Ā· We conduct all evaluations using five frontier vision-language models: GPT-5.4-mini... across multiple VLMs...
SRT ā outperforms ā Chain-of-Thought
confidence 85% Ā· boundary-aligned SRT substantially outperforms generic process prompting and all tested chain-of-thought baselines...
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Abstract
Abstract:Vision-language models (VLMs) perform strongly on visual question answering benchmarks, yet often make decisions that contradict visual evidence they have already identified correctly. We distinguish perceptual failure, where relevant evidence is not recognized, from process failure, where recognized evidence fails to constrain the final decision. We introduce VPAC-Bench, a benchmark spanning nine real-image process families, with each image annotated by its current activity stage and nearby stage transition. We also propose State-Relevance-Target (SRT), a family of structured process-prior interventions that requires models to connect visible evidence to the relevant process state before answering. Across multiple VLMs, process failure is widespread: models that correctly enumerate visual candidates still over-commit to a single answer in more than 95% of ambiguous cases. An explicit process-structured intervention reduces this rate to below 13% without degrading performance on unambiguous cases. However, the transfer of process priors is model-dependent, and generic SRT does not consistently outperform strong chain-of-thought baselines. When the relevant stage transition is known, boundary-aligned SRT substantially outperforms generic process prompting and all tested chain-of-thought baselines across assembly, physical state transition, navigation and traffic, and object-use affordance tasks. These results show that process priors are most useful when aligned with the scene's specific decision boundary, motivating boundary-aware prior selection for process-grounded visual reasoning.
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- Source: https://arxiv.org/abs/2609.22588v1
- Canonical: https://arxiv.org/abs/2609.22588v1
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Seeing Is Not Enough: Vision-Language Models Perceive Evidence but Fail to Act Yuyang Dai Affiliation: Florida State University Email: y9657422@gmail.com Bofei Huang Hongbo Zhang & Haoran Xie Affiliation: Japan Advanced Institute of Science and Technology (JAIST) Email: xie@jaist.ac.jp Abstract Vision-language models (VLMs) achieve strong performance on visual question answering benchmarks, yet often produce decisions that contradict visual evidence they have already correctly perceived. Existing work does not distinguish perceptual failure, where relevant evidence is not perceived, from process failure, where correctly perceived evidence fails to constrain the final decision. To address this gap, we first introduce VPAC-Bench, a benchmark of nine real-image process families in which each image is annotated with its current activity stage and the specific stage transition it falls near eg. whether a tool has made contact with an object (setup vs. active), or whether the intended outcome has been achieved (active vs. finished). Building on this structure, we develop SRT (StateāRelevanceāTarget), a family of structured process-prior interventions that constrain how a model must use visible evidence before committing to a final answer. First, process failure is widespread and distinct from perceptual failure: models that correctly enumerate visual candidates still over-commit to a single answer at rates exceeding 95%, and an explicit process-structured intervention reduces this to below 13% without degrading unambiguous-referent performance. Second, process-prior transfer is model-sensitive: the same structured prior helps some models substantially while leaving others unchanged or degraded, and generic SRT alone does not reliably outperform strong CoT-style baselines. Third, when the correct stage transition is known, boundary-aligned SRT substantially outperforms generic process prompting and all CoT-style baselines across all four standardized process families (assembly, physical state transition, navigation/traffic, and object-use affordance). These findings indicate that the value of a process prior depends critically on its alignment with the imageās specific decision boundary, motivating boundary-aware prior selection as a design strategy for process-grounded visual reasoning. 1 Introduction Figure 1: Overview of our framework. Top left: a motivating example showing process failure, the model correctly identifies multiple car candidates yet still commits to a single answer, violating its own observations. Top center: our benchmark (VPAC-Bench) covers nine real-image process families (sports action, mobility, tool use and repair, household activities, drawing & craft, assembly, physical transition, navigation, and object-use). Bottom: the SRT framework applied to a skiing image. State extraction (S) identifies the decision-relevant visible entities (two skiers, equipment, motion cues). Relevance checking (R) filters to decision-relevant relations only (personāski contact ā, body posture ā) and suppresses irrelevant ones (number of ski tracks, backpack brand ā ). Target commitment (T) commits only to the stage supported by visible evidence (pre_action_setup), ruling out active_execution because no strong motion cue or dynamic posture is visible. Consider a model asked āWhat color is the car?ā on an image containing several cars of different colors (See Figure 1, top left). When prompted to first describe what it sees, the model correctly enumerates every visible car and its color, yet in the same response it still commits to a single, confident answer. The model has perceived the evidence; it has simply not used it. We refer to this phenomenon as process failure, that the failure to let correctly perceived evidence constrain the final decision. Vision-language models (VLMs) achieve strong performance on standard visual question answering benchmarks Hudson and Manning (2019), yet this failure pattern persists whenever correct answers depend not only on recognizing visual evidence, but also on following a structured decision process grounded in that evidence. Such settings include resolving ambiguous referents, verifying spatial relations, and identifying the current stage of an ongoing activity. These examples raise a broader question: why do VLMs often produce decisions that are inconsistent with evidence they have already correctly perceived? Existing work has approached this problem from two complementary directions. The first direction focuses on visual grounding. Benchmarks such as NaturalBench Li et al. (2024), Winoground Thrush et al. (2022), and VQA-v2 Goyal et al. (2017) demonstrate that VLMs often rely on language priors instead of visual evidence Tong et al. (2024); Luo et al. (2024b); Agrawal et al. (2018), motivating methods that improve visual perception and grounding for evidence-based decision making. However, these approaches evaluate failures through final-answer correctness, without distinguishing whether errors arise because the model failed to perceive the relevant evidence or base its decision on evidence it had already identified. A second direction focuses on explicit reasoning. Chain-of-thought prompting Wei et al. (2022), multimodal CoT Zhang et al. (2023), Visual Sketchpad Hu et al. (2024), and LLaVA-CoT Xu et al. (2025) encourage models to generate intermediate reasoning before producing an answer. Yet explicit reasoning traces do not guarantee evidence-consistent decisions: a model may correctly enumerate all relevant visual candidates while still committing to a single answer unsupported by its own reasoning. What is missing is therefore twofold. First, an evaluation framework to measure how often models see the right evidence but still answer incorrectly. Second, an explicit process prior that tells the model how to use what it has already seen to reach the correct decision. We address both gaps with a three-stage investigation (See Figure 1). S1 (Referent Disambiguation) establishes that process failure is distinct from perceptual failure through controlled experiments on COCO Lin et al. (2014) and GQA Hudson and Manning (2019), showing that only a process-structured intervention repairs the failure that improved visual access leaves intact. Motivated by this finding, we develop SRT (State extraction, Relevance checking, Target commitment), a family of structured process-prior interventions that constrain how a model must use visible evidence before committing to a final answer. S2 (Spatial Reasoning) applies SRT to spatial relation verification on VSR Liu et al. (2023) and reveals that process-prior transfer is model-sensitive: the same prior that helps one model can degrade another. S3 (Process Families) explains this variation through VPAC-Bench, a new benchmark spanning nine real-image process families with human-reviewed labels and stage-transition annotations, showing that the deciding factor is alignment between the process prior and the imageās current activity stage rather than prompt specificity. Table 1: The three SRT invariants across the three VPAC stages. In S1, this structure is embodied by an existing inspectājudgeādecide method whose effectiveness motivates SRT; S2 and S3 evaluate SRT directly. Component S1: Referent Disambiguation S2: Spatial Reasoning S3: Process Families S State Extraction Visible candidate referents and distinguishing features Subject, reference object, and visible geometric layout Actor, tool, manipulated object, and object-state cues R Relevance Checking Candidate uniqueness Relation-specific evidence (support, enclosure, orientation, ā¦) Stage-boundary compatibility (actorātool, toolāobject, objectāstate) T Target Decision Answer, enumerate, or clarify True, false, or uncertain Current stage label Main failure Over-answering under referent ambiguity Relation guessing without layout checking Activity-label guessing without stage checking In summary, this paper makes the following contributions: ⢠We introduce VPAC-Bench, a benchmark of nine process families with human-reviewed labels and process-boundary annotations, designed to separate process failure from perceptual failure across five frontier VLMs. ⢠We show that process-prior effectiveness is model-sensitive and boundary-dependent: the same structured prior that helps some models can degrade others (S2), and generic process priors do not reliably outperform strong CoT baselines; effectiveness requires alignment with the imageās specific decision boundary (S3). ⢠We establish that alignment with the imageās decision boundary is the deciding factor behind process-prior effectiveness: misaligned priors fall below the default baseline, while oracle-aligned priors recover most of the performance gap (86.1% vs. 29.4% on physical state transition), with automatic boundary identification as the remaining bottleneck. 2 Related Work Visual grounding and perceptual failures in VLMs. Benchmarks such as NaturalBench Li et al. (2024), Winoground Thrush et al. (2022), VQA v2 Goyal et al. (2017), and SugarCrepe Hsieh et al. (2023) reveal that VLMs frequently exploit language priors rather than visual evidence Tong et al. (2024); Luo et al. (2024b); Agrawal et al. (2018); Lee et al. (2025), while object hallucination Li et al. (2023) and visionāknowledge conflict work Liu et al. (2024b) further characterize failures in visual evidence acquisition. These works diagnose failure at the level of final answers but do not distinguish perceptual failure from process failure (the case where evidence is correctly perceived but not bound to the final decision). Explicit reasoning and decision strategies. Chain-of-thought prompting Wei et al. (2022) and its multimodal extensions Zhang et al. (2023), Visual Sketchpad Hu et al. (2024), LLaVA-CoT Xu et al. (2025), and thinking-with-images methods Su et al. (2025); Chern et al. (2025) encourage models to externalize intermediate reasoning before answering. Ambiguity-aware methods Testoni et al. (2025); Jian et al. (2025); Luo et al. (2024a); Min et al. (2020) address referentially ambiguous questions by training models to seek clarification. However, none of these methods verifies whether the final answer is consistent with the intermediate observations the model itself produces. Process-oriented visual reasoning. VSR Liu et al. (2023) evaluates spatial reasoning across 66 relations; ViperGPT SurĆs et al. (2023) and Visual Programming Gupta and Kembhavi (2023) decompose visual reasoning into executable programs without training. In the procedural domain, EPIC Kitchens Damen et al. (2020), COIN Tang et al. (2019), HowTo100M Miech et al. (2019), Chain-of-Procedure Chen et al. (2026), and TAMA Hasegawa et al. (2025) treat the process as the task to be solved, relying on video sequences or external tool chains. We instead treat the process as an explicit prior constraining how evidence maps to decisions, and use VPAC-Bench to show that its value depends on alignment with the decision boundary of the current image. 3 Methodology Figure 2: Process failure is distinct from perceptual failure (COCO Task 1, five models). Providing visual annotations without a decision process (marked) leaves policy accuracy near the default baseline, while adding an inspectājudgeādecide structure on top of the same visual access (VS) raises it above 87% for four of five models. 3.1 Problem Formalization We define process-like visual QA as visual reasoning tasks where the correct answer requires following a scenario-appropriate reasoning process grounded in observable evidence, not merely recognizing objects or scene elements. Formally, given an image I, a question Q, and a target decision d, a task is process-like if there exists a process P such that Aā=ā”(I,Q,d)A^*=P(I,Q,d), and AāA^* cannot be reliably obtained by mapping language statistics over Q alone or by applying broad scene-level priors without reference to the verifiable state in I. We formalize two failure modes. Let eā”(I)e(I) denote the evidence a model extracts from I. A perceptual failure occurs when eā”(I)e(I) does not contain the decision-relevant state; a process failure occurs when eā”(I)e(I) does contain it, yet the final answer A^ā ā”(eā”(I),Q,d) A (e(I),Q,d): the evidence is present but not bound to the decision. Processāanswer consistency is then defined as [A^=(e(I),Q,d)]1[ A=P(e(I),Q,d)], and a process prior is an explicit instantiation of P supplied at inference time to enforce this binding. 3.2 Diagnostic Framework and Experimental Design S: State Extraction. Let ā”(I)V(I) denote the full set of visual entities observable in I. State (S) selects the minimal decision-relevant subset eā”(I)āā”(I)e(I) (I) such that eā”(I)e(I) contains all and only the entities and observable properties required to evaluate ā”(I,Q,d)P(I,Q,d). The purpose of S is to suppress all vāā”(I)āeā”(I)v (I) e(I), ensuring subsequent reasoning is grounded in the smallest sufficient visual evidence. R: Relevance Verification. Let āā”(eā”(I))R(e(I)) denote the set of relations over the extracted evidence eā”(I)e(I). R selects the decision-relevant subset rāāāā”(eā”(I))r^* (e(I)) such that rār^* contains only the relations that distinguish the target decision boundary d, formally: rā=rāā(e(I))ā£r is necessary to evaluate dr^*=\r (e(I)) r is necessary to evaluate d\. All rārārā r^* are suppressed to prevent process drift into adjacent semantics or world-knowledge shortcuts. T: Target Commitment. Given eā”(I)e(I) and rār^*, T produces the final answer A^=ā”(eā”(I),rā,d) A=P(e(I),r^*,d), committing only to conclusions directly supported by the verified evidence. Let IA_I denote the set of answers whose truth is decidable from eā”(I)e(I) and rār^* alone. T constrains A^āI A _I, excluding any answer that requires inferring states not verifiable in Iāpast states, future states, or broader scene interpretations beyond eā”(I)e(I). When IA_I contains more than one admissible answer, T commits to none of them and instead reports the ambiguity. 3.3 Three Stages Investigation S1 establishes that process failure exists and is diagnosable. S2 tests whether SRT-base transfers across models on a different reasoning domain. S3 introduces VPAC-Bench and explains the variation observed in S2. S1: Referent Disambiguation. S1 targets visually ambiguous referent resolution on COCO Lin et al. (2014) and GQA Hudson and Manning (2019), where multiple candidate referents satisfy the linguistic description and the correct decision depends on whether visible evidence uniquely identifies a target. In the notation above, these are exactly the images for which |I|>1|A_I|>1. S1 does not introduce SRT; instead, it contrasts conditions that progressively improve visual access against an existing inspectājudgeādecide structure Hu et al. (2024), showing that only the process-structured condition repairs the failure. This structure maps directly onto the three SRT invariants: inspect to State, judge to Relevance, decide to Target, and its effectiveness motivates SRT-base, which S2 and S3 evaluate directly. S2: Spatial Relation Verification. S2 instantiates SRT-base on VSR Liu et al. (2023). S extracts the subject, reference object, and visible geometric layout; R verifies only the evidence required for the queried relation; T commits to the truth value of the spatial claim. S2 reveals that SRT-base transfer is model-sensitive: the same prior substantially improves one model (Gemini, +43+43 p, the only difference whose confidence intervals are disjoint at n=100) while leaving the others unchanged or slightly reduced, motivating the boundary-sensitive extension in S3. S3: Visual Process Answer Consistent Bench. S3 extends SRT-base to VPAC-Bench, spanning nine process families: sports action phase, mobility, tool-use/repair, cleaning,drawing/craft, assembly, physical state transition, navigation/traffic,and object-use affordance. S extracts the actor, tool, manipulated object, and observable statecues; R verifies the evidence defining the current process boundary; T commits only to the stage supported by the current image. Images are collected from real-world datasets, manually reviewed, andannotated with process-boundary categories. 3.4 Boundary-Sensitive SRT The SRT-base framework assumes that a single process prior is sufficient for a given reasoning scenario. However, many real-world process families contain multiple decision boundaries that require different forms of evidence verification. For example, within a physical state transition task, one image may require distinguishing whether a tool has made contact with an object, whereas another requires determining whether the intended state transition has already been completed. Although both images belong to the same process family, the evidence necessary for the corresponding decisions is fundamentally different. Applying a single generic process prior to all decision boundaries may therefore introduce a mismatch between the required verification process and the visual evidence relevant to the current decision. To address this limitation, we extend SRT-base with a boundary-sensitive process prior. Boundary Router. Formally, let an image I belong to a process family F with boundary set ā¬F=b1,b2,ā¦,bnB_F=\b_1,b_2,ā¦,b_n\. Instead of directly applying a family-level process prior FP_F, the boundary router first selects the decision boundary bā=argā”maxbāā¬Fā”gā”(I,b)b^*= _b _Fg(I,b), where gā”(ā )g(Ā·) scores how well image I matches boundary b, and then instantiates the boundary-specific prior bāP_b^* for the subsequent SRT verification. S, R, and T remain unchanged as task-independent invariants; only their semantic realization is conditioned on the selected boundary bāb^*. We instantiate g in two ways. The oracle router sets g(I,b)=[b=bgold(I)]g(I,b)=1[\,b=b_gold(I)\,] using the ground-truth boundary annotation, and the self-router prompts the model to predict b from I before applying SRT. This pairing deliberately decouples two questions: whether boundary-aligned priors help, and whether models can identify boundaries automatically. The oracle router answers the first under ideal boundary assignment and is a diagnostic upper bound; the self-router addresses the second and is evaluated in Section 5. The empirical effectiveness of this boundary-sensitive extension is evaluated in Section 4. 4 Experiments and Results 4.1 Evaluation Protocol Models. We conduct all evaluations using five frontier vision-language models: GPT-5.4-mini OpenAI (2025), Qwen2.5-VL-72B Bai et al. (2025), GLM-4.6V GLM-V Team (2025), Mistral-Small-3.2-Vision Mistral AI (2025), and Gemini-3.1-Pro Gemini Team, Google (2026). These models span diverse architectures, training paradigms, and visual reasoning capabilities. All experiments use deterministic decoding (temperature = 0) with a maximum output length of 700 tokens. Evaluation Criteria. Each stage tests a different aspect of processāanswer consistency. For S1, we report two metrics. Policy accuracy is the fraction of Task 1 responses that follow the correct decision policy: enumerate or clarify when multiple valid referents are present, commit to a unique answer only when exactly one referent is visible. Over-answer rate is the fraction of Task 1 responses that commit to a single answer despite unresolved referential ambiguity. A response is process-consistent when its final decision matches the policy licensed by the evidence the model has itself enumerated. For S2, we report standard accuracy on the VSR binary spatial verification task, evaluating whether the generic SRT prior transfers across models. For S3, we report per-family accuracy under each condition and targeted-condition delta: the change from default under the intervention condition designated for that family before evaluation, averaged across models. 4.2 S1: Validation of Process Failure Experimental Design. We construct two complementary evaluation sets. The primary benchmark is derived from COCO, containing 457 ambiguous-referent instances and 330 unique-referent instances. Ambiguous items contain multiple visually plausible referents satisfying the query; unique items contain exactly one valid referent. To evaluate generalization, we additionally construct an external validation set from GQA Hudson and Manning (2019), consisting of 100 ambiguous and 96 unique instances per model. We evaluate four intervention conditions. default measures baseline model behavior without intervention. evidence requires the model to enumerate visible candidate referents before answering, isolating improved visual observation. marked_no_prior provides explicit visual annotations while withholding any decision process, separating visual access from process guidance. visual_sketchpad augments the same visual annotations with an explicit inspectājudgeādecide process structure Hu et al. (2024). Because marked_no_prior provides identical visual access without the process structure, the contrast between these two conditions isolates the contribution of the process structure itself (See Figure 2). Table 2: S1 Task 1 policy accuracy / over-answer rate (%) on COCO and GQA. Bold indicates the highest policy accuracy in each row. VS = visual sketchpad. Model Data Default Evidence Marked VS GPT-5.4-mini COCO 0.0/98.5 45.1/54.7 0.7/98.9 88.8/9.2 GQA 0.0/97.0 35.0/65.0 3.0/97.0 91.0/6.0 Qwen2.5-VL-72B COCO 3.5/95.8 44.7/48.9 9.8/90.2 91.0/8.5 GQA 5.0/91.0 52.0/47.0 12.0/88.0 86.0/13.0 GLM-4.6V COCO 0.0/99.0 37.0/62.0 5.0/95.0 87.0/12.0 GQA 0.0/100.0 42.0/57.0 31.0/69.0 92.0/7.0 Mistral-Small-3.2 COCO 0.0/100.0 15.0/85.0 0.0/100.0 91.0/9.0 GQA 3.0/94.0 29.0/69.0 2.0/98.0 90.0/10.0 Gemini-3.1-Pro COCO 3.0/97.0 89.0/10.0 76.0/24.0 89.0/11.0 GQA 20.0/78.0 71.0/25.0 48.0/51.0 61.0/38.0 Validation Results. Table 2 validates the central hypothesis that process failure is distinct from perceptual failure. Under default, all five models commit to a single answer despite unresolved referential ambiguity, with over-answer rates of 95.8ā100.0% on COCO. Under evidence, policy accuracy rises for every model, though unevenly (15.0% to 89.0% on COCO): models more frequently enumerate visible candidates, yet many responses still commit to a unique answer after identifying multiple valid referents, showing that correctly perceived evidence is not faithfully translated into the final decision. marked_no_prior leaves performance close to the default baseline for GPT, GLM, Qwen, and Mistral, demonstrating that improved visual access alone does not repair process failure. visual_sketchpad, which adds an explicit process structure on top of the same visual access, achieves the strongest performance for these four models (policy accuracy 87.0ā91.0%, over-answer rate below 13%), without degrading Task 2 performance (all models ā„ 99%), ruling out a trivial always-clarify strategy. Macro-averaged over the five models, the annotation-only and process-structured conditions reach 18.3% and 89.4% policy accuracy respectively (Table C2), and the gap holds for every model individually (Table 2). Gemini exhibits a different profile: both evidence elicitation and visual annotation produce substantial improvements even without a process prior (COCO: 89.0% and 76.0%), suggesting that enhanced visual access is sufficient for this model. GQA results replicate the COCO pattern for GPT, Qwen, GLM, and Mistral. 4.3 S2: Generalization Across Models Experimental Design. We use the VSR benchmark Liu et al. (2023), which contains 66 spatial relations across more than 10,000 image-caption pairs. All five models are evaluated on the standardized dev100 split (n=100), which is the basis for all cross-model comparisons. Qwen is additionally evaluated on test400 (n=400); the relation-level routing conditions require the larger split because they subdivide items by spatial relation, and dev100 does not supply enough items per relation. We evaluate default, evidence, and verify (generic SRT verification), together with relation-specific SRT variants for high-error spatial relation families and model-specific adaptations where generic process priors prove insufficient. Generalization Results. S2 demonstrates that process priors are real but not universally transferable: five distinct transfer patterns emerge across the five evaluated models (Figure 3). Gemini (generic-compatible): generic SRT improves dev100 accuracy from 44.0% to 87.0% (+43.0 p), the only S2 difference whose confidence intervals are disjoint at n=100 (Table C3). GPT (verification-oriented): lightweight verification improves dev100 accuracy from 66.0% to 77.0% (+11.0 p); heavier semantic constraints add nothing further. Qwen (relation-routed): relation-specific routing improves test400 accuracy from 78.5% to 84.0% (+5.5 p), whereas generic verification does not (77.5%). GLM (semantics-sensitive): generic priors produce no improvement in either stage, and a model-aligned semantic rewrite achieves 100% on a 13-item diagnostic subset (reported as a failure-analysis probe only; see Appendix A.4). Mistral (adaptation-sensitive): generic verification slightly reduces dev100 accuracy (73.0% to 70.0%), while targeted routing restores and surpasses the baseline in S3. Because four of the five models are evaluated only at n=100, we report these as patterns that recur across S2 and S3; they motivate the boundary-sensitive extension in S3. Figure 3: Process-prior transfer is model-sensitive across five frontier VLMs on VSR. Each line traces one modelās accuracy as the SRT condition progresses from default through generic, relation-routed, and model-specific instantiations. Cross-model points are dev100 (n=100); Qwenās relation-routed point is test400 (n=400). Figure 4: Oracle boundary-sensitive SRT versus generic SRT on three of the four standardized process families (n=60 per family per model, five-model averages); results for the fourth family (object-use affordance) are reported in Table C4. The rightmost panel shows a single process-overload case (GLM, boundary P7) and is not a family-level result. 4.4 S3: Boundary-Sensitive Process Priors Experimental Design. We construct a benchmark spanning nine process families: sports action phase, mobility, tool use and repair, household activities, drawing and craft, assembly and construction, physical state transition, navigation and traffic, and object-use affordance. Images are collected from real-world datasets, manually reviewed for label quality, and annotated with explicit process-boundary labels (Appendix A.2). Four families (assembly, physical state transition, navigation/traffic, and object-use affordance) form the standardized benchmark, each evaluated across all five VLMs under four conditions: process_default, process_srt_generic, process_srt_scenario, and process_srt_boundary_router_oracle (oracle boundary labels; diagnostic upper bound). The remaining five families (sports, mobility, tool-use, cleaning, and craft) form a supporting set evaluated on model subsets to verify broader generalization. All S3 accuracy numbers are five-model averages at n=60 per family per model, and should be read as diagnostic evidence; family-level Wilson 95% confidence intervals are reported in Appendix C. Mechanism Results. Figure 4 and Table C4 show that the oracle boundary router is the best condition in every modelāfamily combination for which it was evaluated. This trend is most pronounced for physical state transition, where default performance is low (26.7%, five-model average), reflecting strong reliance on language priors. Generic and scenario-level SRT provide only partial improvements; the oracle boundary router yields an average gain of +53.3+53.3 p. Similar patterns hold for assembly (+35.0+35.0 p), traffic (+21.7+21.7 p), and affordance (+22.7+22.7 p). Importantly, generic SRT is not a reliable deployable improvement: it performs below default for Gemini on traffic (ā31.7-31.7 p), Qwen on assembly (ā16.6-16.6 p), and GLM on affordance (ā8.3-8.3 p), and falls below the best CoT baseline on all four families (Appendix B.2, Table B4). The oracle boundary routerās advantage over generic SRT is therefore not attributable to structured prompting in general but to boundary-aligned process priors specifically. Table C5 reports results on the five supporting families. Boundary-sensitive or targeted routing produces positive deltas for most models in Cleaning (+39.3+39.3 p for GPT), Craft (+18.2+18.2 p for Mistral, +13.0+13.0 p for Qwen), and Mobility (+12.3+12.3 p for Qwen). Sports and Tool-use show limited or inconsistent gains under generic SRT alone; Gemini and GLM again exhibit the largest negative deltas in Tool-use (ā23.1-23.1 p and ā17.3-17.3 p), reproducing the process-overload pattern from the standardized families. For Craft and Mobility, family-level CIs overlap with the default baseline (Table C4). Mechanism Analysis. The primary limitation of generic process priors is the mismatch between a single generic process description and the specific decision boundary represented by the current image. Geminiās performance on traffic collapses under generic SRT (ā31.7-31.7 p) before recovering fully under the oracle router (+13.3+13.3 p); Qwen drops ā16.6-16.6 p on assembly under generic SRT but reaches +33.3+33.3 p under the oracle router; GLM shows negative deltas under generic SRT in Tool-use (ā17.3-17.3 p) and Craft (ā10.4-10.4 p). These patterns are consistent with process overload being a model-level property triggered by priorāboundary mismatch. The oracle boundary router addresses this by selecting the process prior according to the imageās decision boundary, so that the verification process matches the evidence required by the current decision. 5 Mechanism and Design Validation Table 3 reports ablation results averaged across three models (GPT-5.4-mini, Qwen2.5-VL-72B, Mistral-Small-3.2) on physical state transition and assembly. These three-model averages differ from the five-model S3 results above and are not directly comparable; they are reported separately to isolate the ablation conditions from the main S3 evaluation. Confidence intervals for every condition are given in Appendix D, Table D1. Table 3: Ablation accuracy (%), averaged across three models (n=180n=180 per condition and family). ā denotes boundary-alignment ablation; ā” denotes routing-feasibility ablation. Wilson 95% intervals are reported in Table D1. Condition Phys. Assem. Default 29.4 44.4 Visual evidence only 51.1 45.6 Policy only (T) 15.6 33.9 S+TS+T 27.8 40.6 R+TR+T 41.1 41.6 S+RS+R, no T 35.0 40.0 Full SRT (S+R+TS+R+T) 46.1 42.2 Wrong boundary routerā 26.7 30.5 Full SRT (repeated)ā 46.1 42.2 Self-router SRTā” 47.8 42.8 Oracle boundary SRTā” 86.1 85.0 Component necessity. Removing Target Commitment (S+R, no T) reduces performance on both families (35.0% vs. 46.1% on physical; 40.0% vs. 42.2% on assembly), showing that evidence extraction without a commitment step is insufficient. Removing Relevance Verification (S+T) degrades physical substantially (27.8% vs. 46.1%). Policy only (T) falls below default on physical (15.6% vs. 29.4%), the one component comparison whose intervals are disjoint (Table D1), confirming that decision constraints without visual grounding are actively counterproductive. Full SRT outperforms all partial configurations on physical; on assembly the partial configurations fall within 2 p of one another with heavily overlapping intervals. Alignment, not specificity. A wrong boundary router, receiving boundary-specific information from the incorrect boundary, performs worse than full generic SRT (26.7% vs. 46.1% on physical, intervals disjoint; 30.5% vs. 42.2% on assembly) and falls below default on assembly. Because it supplies the same quantity and format of boundary-level detail as the oracle condition, this rules out prompt specificity as the explanation: what matters is that the supplied boundary is the correct one. The label-only control (Appendix B.1) locates the remainder of the gain. Supplying the boundary as a bare two-alternative choice gains +29.3+29.3 p on physical but ā3.8-3.8 p on both traffic and affordance, so candidate-space reduction is not by itself reliably helpful; adding the aligned process description yields a further +21.0+21.0 to +27.9+27.9 p on all four standardized families, with McNemar tests on item-level paired responses giving p<0.001p<0.001 in every family (Table B2). That further margin combines process content with the output structure the description carries; separating the two requires a schema-matched control, which we identify as the necessary next step (Appendix A.5). Routing feasibility. A self-router that predicts the boundary before applying SRT achieves 47.8% / 42.8%, above generic SRT (46.1% / 42.2%) by margins of +1.7+1.7 and +0.6+0.6 p whose intervals are almost coincident with those of generic SRT (Table D1); these should not be interpreted as statistically established. The gap to the oracle (86.1% / 85.0%) is primarily explained by imperfect boundary prediction accuracy (36.7ā61.7% across models). 6 Conclusion and Future Work This paper identifies process failure, models perceiving the decision-relevant evidence yet failing to let it constrain their answers, as a mode distinct from perceptual failure, and introduces VPAC-Bench together with SRT (StateāRelevanceāTarget) to measure it. First, process failure is widespread: enumerating visual candidates does not prevent over-commitment, and only an explicit process structure repairs it. Second, process-prior transfer is model-sensitive: five transfer patterns emerge, and generic SRT does not reliably outperform strong CoT baselines. Third, when the decision boundary is known, boundary-aligned SRT exceeds the best CoT baseline by 20ā36 p; a wrong-boundary control rules out prompt specificity, while a label-only control shows that supplying the boundary alone is not reliably helpful, the aligned process description carries a further 21ā28 p. The remaining obstacle is automatic boundary identification: a self-router closes little of the oracle gap, which we leave for making boundary-sensitive SRT deployable. Ethics Statement All images used in VPAC-Bench are sourced from publicly available datasets with licenses permitting research use. No new data involving human subjects was collected; annotation work followed standard research protocols with clear task guidelines and fair compensation. 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Cited by: §1, §2. Zhou et al. (2023) J. Zhou, T. Lu, S. Mishra, S. Brahma, S. Basu, Y. Luan, D. Zhou, and L. Hou Instruction-following evaluation for large language models. arXiv preprint arXiv:2311.07911. Cited by: §E.1. Appendix Contents A Additional Reliability Checks and Limitations A.1 Sample Sizes, Conventions, and Data Availability A.2 Human Annotation Protocol and Agreement A.3 Oracle and Non-Oracle Boundary Routing A.4 Prompt Development and Held-Out Evaluation A.5 Scope and Limitations B Additional Controls and Baselines B.1 Decomposing the Oracle Boundary Router Gain B.2 SRT versus CoT-Style Baselines C Confidence Intervals and Per-Model Results D Mechanism and Design Validation E Discussion Appendix A Additional Reliability Checks and Limitations A.1 Sample Sizes, Conventions, and Data Availability All experiments use deterministic decoding (temperature = 0), so run-to-run stochastic sampling variance is not a source of uncertainty. The relevant uncertainty is item-level variation: whether observed gains hold across examples, process families, and models. Table A1 summarizes nominal evaluation sample sizes. Table 4: Nominal evaluation sample sizes per stage and dataset. S3 family-level results (n=60 per model) are treated as diagnostic evidence; aggregate trends across families and models form the primary basis for our conclusions. Stage Dataset / Family Items Models S1 COCO Task 1 (ambiguous) 457ā 5 S1 COCO Task 2 (unique) 330ā 5 S1 GQA Task 1 (ambiguous) 100 5 S1 GQA Task 2 (unique) 96 5 S2 VSR dev100 100 5 S2 VSR test400 (Qwen) 400 1 S3 Each standardized family 60 5 S3 Four standardized (combined) 240 5 S3 Sports 31 5 S3 Tool-use 52 5 S3 Cleaning 56 5 S3 Craft 77 5 S3 Mobility 106 5 ā Nominal per-model item count. Evaluated n is lower for three models on COCO, whose evaluation files are capped at 100 items; actual pooled n per condition is given in Table C2. Response parsing convention. All item-level analyses in Appendix B treat unparseable model responses as incorrect. This is the conservative choice: under-formatted responses are penalised rather than excluded, which would otherwise inflate the accuracy of conditions with higher parse rates. Label-only parse rates are 12ā21 p lower than oracle SRT parse rates across the four standardized families (Physical 66% vs. 87%; Assembly 69% vs. 89%; Traffic 73% vs. 83%; Affordance 73% vs. 78%), because oracle SRT supplies an explicit structured output schema while label-only does not. Consequently the label-only ā oracle SRT margin in Table B1 reflects the joint contribution of process content and output schema; isolating process content alone requires a schema-matched label-only condition, identified in Section B.1 as the necessary next control. The default ā label-only contrast is free of this confound, since neither condition supplies a schema. Two conventions. Appendix B computes accuracy under the unparseable = incorrect convention on the three-way paired intersection of evaluated items per family, which is what the paired McNemar analysis requires. The main text and Appendix C use the parseable-only convention on the full five-model set. The same condition therefore takes slightly different values in the two places; Table C1 gives the correspondence explicitly. Appendix B is the reference for the control decomposition and paired tests; the main text and Appendix C are the reference for the primary condition comparisons. Data availability. Mistral-Small-3.2 oracle boundary router outputs are unavailable for navigation/traffic and object-use affordance. For assembly the oracle file exists but the default file does not, so the three-way paired intersection for assembly is also four models. The paired analysis in Appendix B therefore uses n=300 on physical state transition and n=240 on the other three standardized families. A direction check on physical, where all five models are available, confirms that Mistral follows the same label-only ā oracle direction as the other four. Mistralās assembly oracle accuracy, available in isolation, is 80.0% [68.2,88.2][68.2,88.2] at n=60, consistent with the four-model assembly oracle figure of 78.8% in Table B1. Interval widths. We focus main-paper claims on large, consistent effects that replicate across models and families, and treat single-family S3 results as diagnostic evidence. S2 confidence intervals on dev100 (n=100) are wide; only Geminiās default-to-verify difference has disjoint intervals at this sample size (Table C3). For Craft and Mobility in the S3 supporting set, condition-level intervals overlap substantially with the default baseline (Table C4); however, the paired analysis in Appendix B.1 (Tables B1ā², B2ā²) finds a statistically reliable reversal on Craft and Mobility using a matched item-level design, which we treat as the more informative comparison for these two families. A.2 Human Annotation Protocol and Agreement All images retained in the benchmark were manually reviewed. Across the project, annotation and review involved 30 human annotators. Annotators checked image validity, visible evidence, answerability, process-stage labels, and process-boundary labels (Table A2). Instructions emphasized that labels must be based only on evidence visible in the image, excluding inferred hidden past states, future events, or broad scene priors. To estimate annotation quality, we double-annotated a subset of n=120 examples across four process families. Mean raw agreement across the categorical fields in Table A2 was 86%, corresponding to a Cohenās Īŗ of 0.72 (95% CI [0.60,0.84][0.60,0.84]), which Landis and Koch characterize as substantial agreement. The Īŗ estimate uses Pe=0.50P_e=0.50, which follows from VPAC-Benchās boundary-stratified design: each image is sampled near a specific process boundary, and each boundary defines a binary stage choice, making the two-class uniform model the appropriate chance-agreement baseline. We report Īŗ alongside raw agreement because raw agreement is inflated whenever the label distribution is skewed, as it is for the multi-class auxiliary fields. We treat both as quality-control estimates rather than as evidence that every boundary is unambiguous: process boundaries are inherently more subjective than object categories. All disagreements were resolved by a third reviewer before inclusion in the final evaluation set. Table 5: Main annotation fields used for process-family examples. Field Meaning gold_step_label Current visible process stage. boundary_family Process boundary being tested. visible_actor Whether the relevant actor is visible. neighbor_step_label Most confusable adjacent process stage. why_not_neighbor Visible evidence ruling out adjacent stage. issue_type Ambiguity, occlusion, or image-quality flag. A.3 Oracle and Non-Oracle Boundary Routing The boundary-sensitive SRT condition uses ground-truth boundary annotations to select the process prior. This condition is a diagnostic upper bound, not a deployable system: its purpose is to isolate the effect of boundary alignment assuming the correct decision boundary is known. Table A3 reports the gap between the oracle router and a self-router, in which the model first infers the process boundary and then applies the corresponding SRT prior. The self-router remains substantially below the oracle, showing that automatic boundary identification is itself a major bottleneck. Table 6: Oracle boundary routing versus self-routing (accuracy %, averaged across GPT-5.4-mini, Qwen2.5-VL-72B, and Mistral-Small-3.2; parseable-only convention). Self-router gains over generic SRT are not statistically established; intervals in Table D1. Family Generic SRT Self-router Oracle router Self ā- Generic Physical 46.1 47.8 86.1 +1.7 Assembly 42.2 42.8 85.0 +0.6 Self-router boundary-prediction accuracy is 60.0% / 36.7% (GPT), 35.0% / 40.0% (Qwen), and 61.7% / 46.7% (Mistral) on physical / assembly respectively, indicating that models can partially identify decision boundaries but are not yet reliable enough to close the oracle gap autonomously. We therefore avoid treating the oracle router as a deployable method in the main text, and interpret boundary-sensitive SRT as a diagnostic upper bound that quantifies the value of boundary alignment. A.4 Prompt Development and Held-Out Evaluation SRT is implemented as a lightweight inference-time intervention. To separate diagnostic prompting from test-set overfitting, we distinguish four types of prompt conditions. Generic SRT prompts instantiate the same StateāRelevanceāTarget pattern across all examples within a stage and are the primary prompt-level intervention. These prompts were finalized before evaluation on the reported test splits and are reported in full in the released code. Relation-specific and boundary-specific prompts test whether the process prior must be aligned to a particular visual decision boundary. Where such prompts were developed on a development subset, we report the split explicitly and evaluate the frozen prompt on held-out examples. The relation-specific routing condition for Qwen is evaluated on test400 because it subdivides items by spatial relation, and dev100 does not supply enough items per relation. Scenario SRT v2 variants (Table C6) are exploratory reformulations introduced during error inspection on the supporting process families, after the primary Default / Generic SRT / Scenario SRT / Boundary Router conditions had already been frozen and evaluated. They were not tuned against a held-out split and are not incorporated into any main-paper aggregate or comparative claim. We report them only as failure-analysis evidence. Model-specific semantic adaptations are exploratory diagnostic probes, not deployable methods. The GLM under+beneath rewrite achieves 100% on a 13-item diagnostic subset compared to 79% default. This prompt was developed and evaluated on the same 13-item subset. We report it only as a failure-analysis probe suggesting that GLMās failure on this relation pair stems from instruction interpretation rather than visual perception; the subset is far too small to support a confidence interval or any generalization claim, and the probe is excluded from all comparative tables. The semantics-sensitive pattern we assign to GLM in Appendix E.1 rests on its null response to generic priors in S3 together with this probe, the latter as illustrative rather than confirmatory evidence. A.5 Scope and Limitations SRT is not a universal prompt that monotonically improves every VLM. One of our main findings is precisely that structured process priors interact strongly with model behavior: some models benefit from explicit process structure, while others degrade when the prior is too generic or misaligned with the visual decision boundary. The oracle condition is an upper bound, not a method. The boundary-sensitive condition demonstrates that the right process prior can repair many failures when the relevant boundary is known, but the large gap between self-routing (47.8% / 42.8%) and oracle routing (86.1% / 85.0%) indicates that automatic process-boundary detection remains unresolved, and the self-routerās marginal gains (+1.7 / +0.6 p) do not reach significance at current sample sizes. SRT is therefore best understood as a diagnostic framework and an upper-bound intervention, not a deployment-ready system. The label-only control is not schema-matched. Oracle SRT supplies a structured output schema that the label-only control does not, and their parse rates differ by 12ā21 p (Appendix A.1). The margin between them therefore combines process content with output structure and does not isolate the former. A schema-matched label-only conditionācorrect boundary, candidate labels, and the same output schema, but no process descriptionāwould separate them, and we identify it as the necessary next control. The default ā label-only contrast, which carries the candidate-space-reduction claim, is free of this confound. Uneven split coverage in S2. Four of five models are evaluated only on dev100 (n=100), where the Wilson intervals span roughly 18ā20 p and only the largest effect (Geminiās +43 p) is separable. The relation-routing conditions were run on test400 for Qwen alone. We therefore report the five S2 transfer patterns as patterns that recur across S2 and S3 rather than as individually established effects, and Table C3 marks which comparison clears the interval test. Extending test400 coverage to the remaining four models is the cheapest available improvement to the statistical standing of the S2 analysis. Statistical scope in S3. Family-level results rest on n=60 per model, and we do not claim statistical significance for any single-family point-estimate comparison smaller than roughly 15 p under the parseable-only, unpaired convention used in Table C4. The paired analysis in Appendix B.1 relaxes this concern for Craft and Mobility specifically, where a matched item-level comparison finds a statistically reliable effect that the unpaired comparison in Table C4 does not resolve. Coverage. Although our benchmark covers nine process families across five frontier models, it is diagnostic rather than exhaustive. Larger-scale evaluation with more process domains, stronger automatic routers, and extended inter-annotator agreement analysis would further strengthen the generality of the conclusions. Appendix B Additional Controls and Baselines B.1 Decomposing the Oracle Boundary Router Gain Table B1 decomposes the oracle boundary router gain into two sequential steps: candidate-space reduction (Default ā Label-only) and a further margin attributable to the boundary-aligned process description (Label-only ā Oracle SRT). All figures use the unparseable = incorrect convention on the three-way paired intersection per family (Appendix A.1). Label-only control. The model receives the oracle boundary identifier and the two candidate stage labels but no SRT process description, controlling for candidate-space reduction while withholding process content. Candidate-space reduction (Default ā Label-only). On physical state transition and assembly, supplying the oracle boundary and two candidate labels raises accuracy by +29.3+29.3 and +9.6+9.6 p respectively. On navigation/traffic and object-use affordance, the same information produces ā3.8-3.8 p, a slight decline. The difference is within sampling error at n=240, and we report it because its direction is the same in both families: constraining the model to a two-alternative choice without a process prior does not help, and may slightly hurt. This is the cleanest contrast in our control set, since neither condition supplies an output schema, and it supports the main-text claim that candidate-space reduction alone is insufficient. Process alignment (Label-only ā Oracle SRT). Oracle SRT exceeds label-only on all four standardized families, by +21.0+21.0 to +27.9+27.9 p. McNemar tests on item-level paired responses confirm the gap is statistically reliable in every family (Table B2; all p<0.001p<0.001). As stated in Appendix A.1, this margin reflects the joint contribution of process content and output schema; a schema-matched label-only condition is required to isolate process content, and we identify it as the necessary next control. Table 7: B1: Decomposition of the oracle boundary router gain. The four standardized families are computed on the three-way paired intersection with unparseable = incorrect (Appendix A.1); physical uses five models (n=300) and the other three use four (n=240). Supporting families use the parseable-only convention and are not paired here; see Table B1ā² for the paired version of Cleaning, Craft, and Mobility. CSR = Label-only ā- Default; Ī = Oracle SRT ā- Label-only. Family Default Label-only Oracle SRT CSR Standardized (paired) Physical 26.3 [21.7,31.6] 55.7 [50.0,61.2] 76.7 [71.6,81.1] +29.3 +21.0 Assembly 46.2 [40.1,52.6] 55.8 [49.5,62.0] 78.8 [73.1,83.5] 0+9.6 +22.9 Traffic 47.1 [40.9,53.4] 43.3 [37.2,49.7] 71.2 [65.2,76.6] 0ā-3.8 +27.9 Affordance 37.1 [31.2,43.4] 33.3 [27.7,39.5] 57.5 [51.2,63.6] 0ā-3.8 +24.2 Supporting (unpaired, parseable-only) Cleaning 38.2 59.6 45.4 +21.4 ā-14.3 Craft 44.9 84.2 49.1 +39.3 ā-35.1 Mobility 64.7 70.2 59.8 0+5.5 ā-10.4 Tool-use 72.3 79.6 oracle condition not run Ī reflects the joint contribution of process content and output schema (Appendix A.1). Table 8: B2: McNemar test, label-only vs. oracle SRT, computed from item-level paired responses (unparseable = incorrect). b = label-only correct and oracle wrong; c = oracle correct and label-only wrong; cābc-b equals the net item-count gain in the paired set. Ļ2Ļ^2 with continuity correction. Family n b c cābc-b Ļ2Ļ^2 p Physical 300 29 92 63 31.8 <<0.001 Assembly 240 20 75 55 30.7 <<0.001 Traffic 240 14 81 67 45.9 <<0.001 Affordance 240 18 76 58 34.6 <<0.001 Three supporting families reverse the sign, and the reversal is confirmed by paired tests. On Cleaning, Craft, and Mobility, oracle SRT falls below label-only. Unlike the four standardized families, these three were not originally paired at the item level; we constructed the same three-way intersection used above to obtain paired figures directly comparable to Table B1 and Table B2. Table B1ā² reports the paired accuracies and Table B2ā² the corresponding McNemar tests. The reversal holds under pairing in all three families, though its statistical strength varies. On Craft, the effect is large and clearly significant (79.2% ā 42.9%, b=88, c=4, exact p<0.001p<0.001): almost all of the disagreement between conditions runs in the direction of label-only being correct and oracle SRT being wrong. On Mobility, the effect is smaller but still significant (53.4% ā 46.4%, b=159, c=122, Ļ2=4.6Ļ^2=4.6, p=0.032p=0.032). On Cleaning, the point estimate is in the same direction (46.4% ā 43.2%) but the paired test does not reach significance at this sample size (b=75, c=66, Ļ2=0.5Ļ^2=0.5, p=0.50p=0.50). Two of the three reversed families are therefore statistically confirmed, not merely suggestive point estimates, which strengthens rather than weakens the case that this is a real phenomenon requiring explanation rather than a sampling artifact. Table 9: B1ā²: Label-only versus oracle SRT on the three reversed families, paired at the item level (unparseable = incorrect, five models), the same convention as Table B1. Family n Label-only Oracle SRT Cleaning 280 46.4 [40.7,52.3] 43.2 [37.5,49.1] ā-3.2 Craft 231 79.2 [73.5,84.0] 42.9 [36.6,49.3] ā-36.3 Mobility 530 53.4 [49.1,57.6] 46.4 [42.2,50.7] ā-7.0 Table 10: B2ā²: McNemar test, label-only vs. oracle SRT, three reversed families. b = label-only correct and oracle wrong; c = oracle correct and label-only wrong; note b>cb>c throughout, the reverse of Table B2. Exact binomial test for Craft given the extreme imbalance; Ļ2Ļ^2 with continuity correction otherwise. Family n b c Ļ2Ļ^2 p Cleaning 280 75 66 0.5 0.50 Craft 231 88 4 74.9 <<0.001 Mobility 530 159 122 4.6 0.032 The reversal is not predicted by the process-overload account we offer elsewhere, which concerns priorāboundary mismatch and should not apply once the correct boundary has been supplied. Section E.4 offers a structural, information-theoretic explanation consistent with these paired results: label-only accuracy in these three families (46.4ā79.2%) is already substantially higher than on the four standardized families (33.3ā57.3%, Table B1), leaving little room for an added process description to contribute new information, while still adding interpretive cost. We restrict our causal claims about process alignment improving performance to the four standardized families, and treat the paired reversal on Craft and Mobility as an established, opposite-direction effect that the boundary-alignment account must also explain, which Section E.4 does. Table B3 disaggregates the label-only comparison by model on the four standardized families. Table 11: B3: Label-only vs. oracle SRT by model, micro-averaged across the standardized families for which that model has oracle outputs (parseable-only convention). Mistral covers physical state transition and assembly. Model Default Label-only Oracle SRT GPT-5.4-mini 35.5 73.8 84.6 +10.9 Qwen2.5-VL-72B 37.1 69.5 76.7 +7.2 Gemini-3.1-Pro 32.5 57.5 67.7 +10.2 GLM-4.6V 44.6 61.8 60.4 ā-1.4 Mistral-Small-3.2 38.3 63.3 80.0 +16.7 Four of five models show a positive margin; GLM is the exception, consistent with the process-overload pattern observed for it elsewhere. B.2 SRT versus CoT-Style Baselines To evaluate whether oracle SRTās gains arise from structured prompting in general rather than from boundary-aligned process priors specifically, we compare SRT against five CoT-style baselines: plain CoT, multimodal CoT, self-verification, LLaVA-CoT-style reasoning, and grounded CoT. All baselines encourage intermediate reasoning before answering but do not enforce the SRT invariants or align the prior to a specific decision boundary. All figures in this subsection use the parseable-only convention and the full five-model set, matching Table C4 and the main text. On the four standardized families, oracle boundary SRT outperforms the best CoT baseline by 20.4ā35.7 p (Table B4). Pooled across the four families (n=1,200), the oracle interval [70.8,75.8][70.8,75.8] is disjoint from the best-CoT interval [43.8,49.4][43.8,49.4]. Generic SRTāthe only deployable conditionāperforms comparably to or below the best CoT baseline on all four families, and its pooled interval overlaps that of the best CoT baseline. The comparison therefore supports a conditional claim rather than a general one: structured prompting alone does not distinguish SRT from CoT, and SRTās advantage appears only when the decision boundary is supplied. Table 12: B4: SRT vs. CoT-style baselines (accuracy %, five-model averages, parseable-only convention). Best CoT = best of five CoT conditions. Wilson 95% CIs given for the pooled row (n=1,200). Family Def. Best CoT Generic Oracle Physical 26.7 44.3 38.3 80.0 +35.7 Assembly 44.7 50.0 44.0 79.7 +29.7 Traffic 52.7 52.7 48.3 74.3 +21.7 Affordance 37.0 39.3 32.7 59.7 +20.4 Aggregate 40.3 [37.6,43.1] 46.6 [43.8,49.4] 40.8 [38.1,43.6] 73.4 [70.8,75.8] +26.9 The oracle column benefits from ground-truth boundary information unavailable to the CoT baselines; the comparison quantifies the value of that information under a fixed verification structure, and is not a like-for-like method comparison. Appendix C Confidence Intervals and Per-Model Results All intervals in this appendix are Wilson 95% binomial confidence intervals computed over item-level accuracy under the parseable-only convention, matching the main text. Because conditions are evaluated on the same items, overlapping intervals do not by themselves imply the absence of a paired difference; we use interval overlap only as a conservative screen, and report paired tests where a specific comparison carries a claim (Table B2, Table B2ā²). Table C1 reconciles this with the paired convention used in Appendix B. Table 13: C1: Correspondence between the two accuracy conventions, for the oracle SRT condition. Appendix B pairs items across three conditions and counts unparseable responses as incorrect; the main text and the remainder of Appendix C use all parseable responses from all available models. Family App. B (paired) Main text / App. C Physical 76.7 (n=300) 80.0 (n=300) Assembly 78.8 (n=240) 79.7 (n=300) Traffic 71.2 (n=240) 74.3 (n=300) Affordance 57.5 (n=240) 59.7 (n=300) Table 14: C2: COCO T1/T2 pooled accuracy under the parseable-only convention. Actual pooled n per condition, not the nominal 5Ć457=2,2855Ć457=2,285 or 5Ć330=1,6505Ć330=1,650, because three modelsā evaluation files are capped at 100 items; see footnote. T1 correct policy = not-answer (clarify or enumerate); T2 correct policy = answer. Set Task n Default Evidence Marked VS COCO T1 1214ā1219ā 2.5 [1.7,3.5] 45.3 [42.4,48.2] 10.7 [9.1,12.6] 90.4 [88.6,91.9] COCO T2 865ā961ā” 96.3 [94.8,97.4] 96.1 [94.7,97.2] 99.5 [98.8,99.8] 99.6 [98.9,99.8] ā T1 actual n: 1214 (Default) / 1126 (Evidence) / 1219 (Marked) / 1218 (VS). ā” T2 actual n: 865 (Default) / 960 (Evidence, Marked) / 961 (VS). Both rows: Gemini, GLM, and Mistral files are capped at 100 items each; Qwen T1 Evidence contains 360 records and Qwen T2 Default contains 234. Unparseable responses treated as incorrect. Table 15: C3: S2 VSR accuracy with Wilson 95% confidence intervals. Each row is a condition that was evaluated; conditions not run for a model are omitted rather than listed as empty. All cross-model comparisons use dev100; test400 was run for Qwen only. Geminiās default-to-verify difference is the only S2 comparison whose intervals are disjoint. Model Split Condition Accuracy [95% CI] Qwen2.5-VL-72B dev100 default 76.0 [66.8, 83.3] Qwen2.5-VL-72B dev100 evidence 85.0 [76.7, 90.7] Qwen2.5-VL-72B dev100 verify 80.0 [71.1, 86.7] Qwen2.5-VL-72B test400 default 78.5 [74.2, 82.2] Qwen2.5-VL-72B test400 evidence 78.5 [74.2, 82.2] Qwen2.5-VL-72B test400 verify 77.5 [73.2, 81.3] Qwen2.5-VL-72B test400 learned router (v1) 80.0 [75.8, 83.6] Qwen2.5-VL-72B test400 relation-specific routing 84.0 [80.1, 87.3] GPT-5.4-mini dev100 default 66.0 [56.3, 74.5] GPT-5.4-mini dev100 evidence 71.0 [61.5, 79.0] GPT-5.4-mini dev100 verify 77.0 [67.8, 84.2] Mistral-Small-3.2 dev100 default 73.0 [63.6, 80.7] Mistral-Small-3.2 dev100 evidence 71.0 [61.5, 79.0] Mistral-Small-3.2 dev100 verify 70.0 [60.4, 78.1] Gemini-3.1-Pro dev100 default 44.0 [34.7, 53.8] Gemini-3.1-Pro dev100 evidence 86.0 [77.9, 91.5] Gemini-3.1-Pro dev100 verify 87.0 [79.0, 92.2] GLM-4.6V dev100 default 79.0 [70.0, 85.8] GLM-4.6V dev100 verify ā GLM-4.6V was not evaluated under the verify condition on dev100. The under+beneath diagnostic probe (n=13, Appendix A.4) does not constitute a dev100 condition result. Table 16: C4: S3 process-family accuracy with Wilson 95% confidence intervals, five-model averages, parseable-only convention (n=300 per cell for the four standardized families). These are the values reported in the main text. See Table B1ā² for a paired re-analysis of Cleaning, Craft, and Mobility. Family Default Generic SRT Scenario SRT Boundary Router Physical 26.7 [22.0, 31.9] 38.3 [33.0, 43.9] 37.7 [32.4, 43.3] 80.0 [75.1, 84.1] Assembly 44.7 [39.1, 50.3] 44.0 [38.5, 49.7] 39.7 [34.3, 45.3] 79.7 [74.8, 83.8] Traffic 52.7 [47.0, 58.2] 48.3 [42.7, 54.0] 41.7 [36.2, 47.3] 74.3 [69.1, 78.9] Affordance 37.0 [31.7, 42.6] 32.7 [27.6, 38.2] 30.7 [25.7, 36.1] 59.7 [54.0, 65.1] Cleaning 38.2 [32.7, 44.0] 29.3 [24.3, 34.9] 28.9 [23.9, 34.5] 45.4 [39.6, 51.2] Craftā 44.9 [40.0, 49.9] 45.5 [40.6, 50.4] 51.2 [46.2, 56.1] 49.1 [44.1, 54.1] Mobilityā 64.7 [60.6, 68.7] 58.1 [53.9, 62.2] 57.4 [53.1, 61.5] 59.8 [55.6, 63.9] Tool-use 72.3 [66.6, 77.4] 52.7 [46.6, 58.7] 68.1 [62.2, 73.4] not run All listed families (n=2,655) 48.7 [46.8, 50.6] 44.9 [43.0, 46.8] 45.5 [43.6, 47.4] 63.2 [61.3, 65.1]§ ā Unpaired CI overlaps with default; the paired analysis in Table B1ā²/B2ā² finds a significant reversal for Craft and Mobility (not for Cleaning) using a matched item-level design. § The boundary-router aggregate pools the seven families with router data (n=2,395). Sports was evaluated under Default and Generic SRT only; its per-model results are in Table C5. Table 17: C5: Supporting families, per-model results (%). Targeted is the intervention condition designated for that family before evaluation (named in the last column), not a per-model maximum; Ī is therefore negative where the designated intervention underperforms the default. Point estimates on per-model subsets. Family Model Default Targeted Condition Sports GPT-5.4-mini 83.9 90.3 +6.5 Generic Qwen2.5-VL-72B 93.5 93.5 +0.0 Generic Gemini-3.1-Pro 71.0 74.2 +3.2 Generic GLM-4.6V 77.4 74.2 ā-3.2 Generic Mistral-3.2 77.4 71.0 ā-6.5 Generic Tool-use GPT-5.4-mini 63.5 73.1 +9.6 Scenario Qwen2.5-VL-72B 80.8 82.7 +1.9 Scenario Gemini-3.1-Pro 59.6 36.5 ā-23.1 Scenario GLM-4.6V 78.8 61.5 ā-17.3 Scenario Mistral-3.2 78.8 86.5 +7.7 Scenario Cleaning GPT-5.4-mini 26.8 66.1 +39.3 B-Router Qwen2.5-VL-72B 39.3 51.8 +12.5 B-Router Gemini-3.1-Pro 33.9 28.6 ā-5.4 Scenario v2 GLM-4.6V 37.5 30.4 ā-7.1 B-Router Mistral-3.2 53.6 62.5 +8.9 B-Router Craftā GPT-5.4-mini 46.8 58.4 +11.7 Scenario Qwen2.5-VL-72B 50.6 63.6 +13.0 Scenario Gemini-3.1-Pro 33.8 39.0 +5.2 B-Router GLM-4.6V 48.1 37.7 ā-10.4 Scenario v2 Mistral-3.2 45.5 63.6 +18.2 Scenario Mobilityā GPT-5.4-mini 67.0 67.0 +0.0 B-Router Qwen2.5-VL-72B 63.2 75.5 +12.3 B-Router Gemini-3.1-Pro 68.9 72.6 +3.8 B-Router GLM-4.6V 62.3 62.3 +0.0 B-Router Mistral-3.2 62.3 68.9 +6.6 B-Router ā Unpaired CI overlaps default (Table C4); see Table B1ā²/B2ā² for the paired re-analysis. Table 18: C6: Exploratory Scenario SRT v2 variants (accuracy %, Wilson 95% CI). Introduced after the primary conditions were frozen; excluded from all main-paper aggregate and comparative claims. Family Scenario SRT v2 Interpretation Tool-use 61.9 [55.9, 67.6] below v1 scenario SRT Cleaning 41.1 [35.5, 46.9] overlaps default Craft 48.3 [43.4, 53.3] overlaps v1 Mobility 50.8 [46.5, 55.0] below default Appendix D Mechanism and Design Validation This section expands the ablation summarized in Table 3 of the main text. We evaluate the two families with the strongest process-failure signal (physical state transition and assembly/construction) across three models (GPT-5.4-mini, Qwen2.5-VL-72B, Mistral-Small-3.2), to examine three design questions: whether all three SRT components are necessary, whether boundary alignment rather than boundary-level specificity drives the oracle gain, and whether automatic boundary routing is feasible. Table D1 reports the same point estimates as Table 3 together with Wilson 95% confidence intervals. These three-model averages (n=180 per condition per family) are not directly comparable either to the five-model results in Appendix C or to the paired analysis in Appendix B. Table 19: D1: Ablation results with Wilson 95% CI (accuracy %, three-model average: GPT-5.4-mini, Qwen2.5-VL-72B, Mistral-Small-3.2; n=180 per condition per family; parseable-only convention). Point estimates match Table 3 of the main text. ā = boundary alignment ablation; ā” = routing feasibility ablation. Condition Physical Assembly Default 29.4 [23.3,36.5] 44.4 [37.4,51.7] Visual evidence only 51.1 [43.9,58.3] 45.6 [38.4,52.8] Policy only (T) 15.6 [11.0,21.6] 33.9 [27.4,41.1] S+T 27.8 [21.8,34.7] 40.6 [33.7,47.9] R+T 41.1 [34.2,48.4] 41.6 [34.7,49.0] S+R, no T 35.0 [28.4,42.2] 40.0 [33.1,47.3] Full SRT (S+R+T) 46.1 [39.0,53.4] 42.2 [35.2,49.5] Wrong boundary routerā 26.7 [20.7,33.6] 30.5 [24.3,37.6] Full SRT (repeated)ā 46.1 [39.0,53.4] 42.2 [35.2,49.5] Self-router SRTā” 47.8 [40.6,55.0] 42.8 [35.8,50.1] Oracle boundary SRTā” 86.1 [80.3,90.4] 85.0 [79.1,89.5] Component necessity. Removing Target Commitment (S+R, no T) reduces performance on both families (35.0% vs. 46.1% on physical; 40.0% vs. 42.2% on assembly), showing that evidence extraction without a commitment step is insufficient. Removing Relevance Verification (S+T) degrades physical substantially (27.8% vs. 46.1%). Policy only (T) falls below default on physical, the one component comparison whose intervals are disjoint ([11.0,21.6][11.0,21.6] vs. [23.3,36.5][23.3,36.5]), confirming that decision constraints without visual grounding are actively counterproductive. Full SRT outperforms all partial configurations on physical; on assembly the partial configurations fall within 2 p of one another with heavily overlapping intervals, and we do not read that ordering as established. Alignment, not specificity. A wrong boundary routerāreceiving boundary-specific information from the incorrect boundaryāperforms worse than full generic SRT on both families (26.7% vs. 46.1% on physical, intervals disjoint; 30.5% vs. 42.2% on assembly) and falls below default on assembly. Because it supplies the same quantity and format of boundary-level detail as the oracle condition, this rules out prompt specificity: what matters is that the supplied boundary is the correct one. This comparison is internal to Table D1 and uses a single convention and model set throughout. What the controls jointly establish. The wrong-boundary control excludes prompt specificity as the source of the oracle advantage over generic SRT. The label-only control (Appendix B.1) locates the remainder: supplying the boundary as a bare two-alternative choice gains +29.3+29.3 p on physical but ā3.8-3.8 p on both traffic and affordance, so candidate-space reduction is not by itself reliably helpful, while adding the aligned process description yields a further +21.0+21.0 to +27.9+27.9 p on all four standardized families (McNemar p<0.001p<0.001, Table B2). Supplying the correct boundary therefore matters, but what carries the gain is the aligned process description accompanying it, andāper Section E.4āonly when that description has room to contribute information the boundary and candidate labels have not already supplied. We do not claim to have isolated process content from output structure within that description; see Appendix A.5. Routing feasibility. A self-router achieves 47.8% / 42.8%, nominally above generic SRT (46.1% / 42.2%), but the intervals are almost coincident on physical ([40.6,55.0][40.6,55.0] vs. [39.0,53.4][39.0,53.4]) and the +1.7+1.7 and +0.6+0.6 p differences are not statistically established. The oracle remains far above both (86.1% / 85.0%), with intervals disjoint from every other condition in Table D1. Self-router boundary-prediction accuracy is 60.0% / 36.7% (GPT), 35.0% / 40.0% (Qwen), and 61.7% / 46.7% (Mistral). Models can partially identify decision boundaries but are not yet reliable enough to close the oracle gap. Automatic boundary identification is the primary bottleneck for a deployable boundary-sensitive SRT system. Appendix E Discussion E.1 Reading the Results: Five Transfer Patterns That the same process prior helps some models and harms others is, in isolation, unsurprising: language models are known to shift by tens of accuracy points under semantically equivalent reformulations of a prompt, and this brittleness survives instruction tuning (Sclar et al., 2024). What we observe in S2 and S3 appears not to be this kind of format noise: the patterns recur across two different task domains. We describe them as patterns rather than as established profiles. At n=100 on dev100, only Geminiās difference has disjoint intervals (Table C3), and Qwenās relation-routing result comes from test400, which was not run for the other models; the remaining patterns rest on consistency between S2 and S3 rather than on within-stage significance. The mechanistic readings below are interpretiveāwe have no access to training recipes or internal representationsāand organize the observations rather than establish mechanisms. Generic-compatible (Gemini): instruction-following dominance. Generic SRT raises Gemini from 44.0% to 87.0% (+43.0 p) on dev100, the one S2 effect whose intervals are disjoint ([34.7,53.8][34.7,53.8] vs. [79.0,92.2][79.0,92.2]; Table C3), yet the same prior costs it 31.731.7 p on the traffic family when the scaffold does not match the scene. Gemini is also the model whose S1 behavior is repaired by improved visual access alone (76.0% under annotation without a process prior, versus 0.0ā9.8% for the other four models; Table 2). This two-sided behavior is what one would expect of a model that lets an instruction override its own visual grounding; the same disposition underlies sycophancy, where a model defers to the framing supplied in the prompt even against the evidence, and where ordinary chain-of-thought does not repair the deference (Sharma et al., 2024). Verification-oriented (GPT). Lightweight verification improves GPT from 66.0% to 77.0% (+11.0 p) on dev100, while heavier semantic constraints add nothing further. This is consistent with a model that already carries internal self-consistency machinery of the kind sampling-based self-consistency exploits (Wang et al., 2022), for which the most effective prior activates existing behavior rather than overwriting it with a new vocabulary. At n=100 this difference does not clear the interval test (Table C3), and we rely on its replication in S3 rather than on the S2 point estimate alone. Relation-routed (Qwen). Qwenās gains concentrate in relation-specific routing, which improves test400 accuracy from 78.5% to 84.0% (+5.5 p), rather than in generic process priors (test400 verify: 77.5%). This suggests relational representations that a generic prior leaves dormant and that a prior naming the relevant relation type engages directly. Large-scale visual pre-training emphasizing object-relation learning, as in Qwen2.5-VL (Bai et al., 2025), is a plausible source of such representations. Because the relation-routing conditions were run only for Qwen, we cannot say whether this pattern is specific to Qwen or would appear in other models under the same condition. Semantics-sensitive (GLM). Generic priors produce no improvement for GLM in S3 (Table C4), and GLM is the one model with a negative label-only margin in Table B3. A model-aligned semantic rewrite reaches 100% on a 13-item diagnostic subset (Appendix A.4); the subset is too small to establish anything, but it is consistent with the failure lying in how GLM reads the wording of an instruction rather than in what it can perceive. This would be the semantic face of prompt sensitivity (Sclar et al., 2024), where whether a prior fires is gated by lexical alignment with the modelās internal vocabulary rather than by the reasoning structure it encodes. Adaptation-sensitive (Mistral). Generic verification slightly reduces Mistralās performance on dev100 (73.0% to 70.0%), while in S3 targeted routing restores and surpasses the baseline on several families (Table C5): what it needs is not more structure but structure applied only when the decision requires it. This mirrors evidence that chain-of-thought helps mainly on mathematical and symbolic tasks (Sprague et al., 2025), and that imposing explicit reasoning can lower accuracy for models that already answer well through a direct pathway (Liu et al., 2024a). A training-level hypothesis. The five patterns are consistent with three training-level factors: instruction-compliance strength, internal-vocabulary alignment, and reasoning-pathway rigidity. We cannot test these directly, but they yield a falsifiable prediction: a modelās benefit from process priors should correlate with its instruction-following score, for example IFEval (Zhou et al., 2023), and anti-correlate with its performance on direct-answer benchmarks that penalize over-reasoning. Testing this would move process-prior compatibility from an empirical taxonomy toward a mechanistic account. E.2 Three General Principles Process failure is distinct from perceptual failure. The dominant account of VLM error is perceptual: models fail to integrate multiple visual cues, and much of what is scored as a reasoning error is really a perception error (Tong et al., 2024). Our S1 results sit outside this account. Under the default condition models almost always commit to a single answer while referential ambiguity is unresolved (over-answer rates of 95.8% to 100% on COCO), and even when explicitly required to enumerate visible candidates first, four of five models still commit to a single answer in 48.9% to 85.0% of cases. The dissociation is what settles the matter: supplying visual annotation without a decision process leaves policy accuracy at 0.0ā9.8% for four of the five models, while adding an explicit inspectājudgeādecide structure on top of the same visual access raises it to 87.0ā91.0% for those same four, with unambiguous-referent performance intact (Task 2 at 99ā100% under both conditions; Table C2), which rules out a trivial always-clarify strategy. The effect holds for every one of the four models individually, not only in aggregate. What is missing is therefore not visual access but the step that binds perceived evidence to a decision. This is the same decoupling documented for unfaithful chain-of-thought, where the verbalized process need not be what drives the answer (Turpin et al., 2023), and it echoes the visual-question setting, where a model picks one plausible referent and proceeds as if certain rather than seeking clarification (Jian et al., 2025; Testoni et al., 2025). Process-prior compatibility is an independent capability dimension. This compatibility is not the prompt-format brittleness above: brittleness is sensitivity to surface perturbations, whereas what we observe recurs across two task domains and tracks boundary alignment. Because models with near-identical reasoning accuracy respond oppositely to the same prior (S2, S3), the ability to use an external process prior appears not to be readable off conventional benchmarks. As VLMs move into settings that supply structured guidance, this dimension merits measurement alongside instruction-following and compositional reasoning: presenting one prior at increasing specificity (generic, then relation-targeted, then boundary-specific) and tracking the gain trajectory separates prior-receptive, scaffold-sensitive, and prior-averse models. Boundary alignment governs the value of a prior. The most general principle is that a prior helps in proportion not to how much it says but to how well it matches the decision boundary of the current scene. Two controls support this with different scope. The wrong-boundary control is the cleaner of the two: holding the quantity, format, and model set fixed, a prior aligned to the wrong boundary falls below both generic SRT and (on assembly) the default baseline, with disjoint intervals on physical (Table D1). The label-only control shows that supplying the correct boundary as a bare two-alternative choice yields a large gain on physical, a modest one on assembly, and none on traffic or affordance, while adding the aligned process description yields a further 21ā28 p on all four (Tables B1 and B2). That further margin is not yet separated from the output schema the description carries (Appendix A.5). The principle is established only for the known-boundary regime. A self-router is directionally feasible without oracle annotations (47.8% and 42.8% on physical and assembly), but its gains over generic SRT do not reach significance at current sample sizes, so we treat it as a design direction rather than a finished method. E.3 The Marginal Value of a Prior Depends on the Information Already Available The paired results in Appendix B.1 (Table B1ā², Table B2ā²) reveal a pattern that the boundary-alignment account above does not by itself explain, and that turns out to generalize the account rather than contradict it. The phenomenon. On the four standardized families, oracle boundary SRT substantially exceeds label-only (+21.0+21.0 to +27.9+27.9 p, McNemar p<0.001p<0.001 in every family; Table B2). On Cleaning, Craft, and Mobility, the same comparison reverses: oracle SRT falls below label-only, and the reversal is confirmed by paired McNemar tests on two of the three families (Craft: b=88, c=4, exact p<0.001p<0.001; Mobility: b=159, c=122, Ļ2Ļ^2=4.6, p=0.032; Cleaning: b=75, c=66, Ļ2Ļ^2=0.5, p=0.50, directionally consistent but not significant at this sample size). This is not sampling noise on two of three families, and the oracle boundary is, by construction, always the correct one in this comparisonāso the reversal cannot be explained by the priorāboundary mismatch that accounts for process overload elsewhere in this paper (Appendix E.1). A different explanation is required. Ruling out the obvious explanations. Three explanations can be ruled out directly from the design of the comparison. First, it is not a boundary-alignment failure: the oracle condition supplies the ground-truth boundary in all seven families, including the three that reverse. Second, it is not attributable to family-specific model incompetence: the same five models that show large, consistent gains on the four standardized families are the ones producing the reversal on Craft and Mobility. Third, it is not explained by sample size alone: Mobility, the family with the largest n (530), still shows a significant reversal, while Cleaning, with a comparable design and the smallest effect, does not reach significanceāthe pattern tracks something about the families themselves, not merely statistical power. The variable that separates the two groups. Table B1ā² and Table B1 together allow a direct comparison that neither table shows in isolation: the level of label-only accuracy, independent of what happens when a process description is added on top of it. Group Families Label-only accuracy A (gain from oracle SRT) Physical, Assembly, Traffic, Affordance 33.3%ā57.3% B (loss from oracle SRT) Cleaning, Mobility, Craft 46.4%ā79.2% Group Bās label-only accuracy is systematically higher, and in the most extreme case (Craft, 79.2%) is already close to a practical ceiling for a task of this kind. The boundary and the two candidate stage labels alone are already close to sufficient for a correct decision in these three families; in the four standardized families, they are not. An information-theoretic reading. This grouping variable has a natural interpretation. Let Y be the correct stage label and let XloX_lo denote the information available under label-only (the oracle boundary identifier together with the two candidate labels). Label-only accuracy is, to first approximation, a monotonic function of Iā”(Y,Xlo)I(Y;X_lo), the mutual information between the correct label and the label-only condition: high label-only accuracy indicates that XloX_lo already resolves most of the uncertainty in Y, i.e., that the residual conditional entropy Hā”(Yā£Xlo)H(Y X_lo) is small. Oracle SRT supplies additional information, the process description XprocX_proc, on top of XloX_lo. The information-theoretic upper bound on what XprocX_proc can contribute is exactly this residual entropy: XprocX_proc can only reduce uncertainty that XloX_lo has not already resolved, formally Iā”(Y;Xprocā£Xlo)ā¤Hā”(Yā£Xlo)I(Y;X_proc X_lo)⤠H(Y X_lo). When Hā”(Yā£Xlo)H(Y X_lo) is already smallāas it is in Group B, where label-only accuracy is highāthe ceiling on how much a process description can help is correspondingly low, regardless of how well that description is written or how well it is aligned to the boundary. Why the effect is negative rather than merely absent. A vanishing information ceiling predicts Īā0 ā 0, not the substantial negative Ī observed on Craft (ā36.3-36.3 p) and Mobility (ā7.0-7.0 p). The information-theoretic bound explains why the process description cannot help in Group B; it does not by itself explain why supplying it hurts. The additional step is that XprocX_proc is not a costless addition to the prompt. It lengthens the input, introduces additional candidate evidence the model must weigh, and requires the model to adjudicate between what the process description suggests and what the label-only information alone would have supported. When XprocX_proc carries little information the model did not already have (small Hā”(Yā£Xlo)H(Y X_lo)), this adjudication step is pure overhead: it creates opportunities for the model to be talked out of an otherwise correct label-only-level judgment without any compensating information gain. This is the same mechanism identified at the model level in Appendix E.1 for GLM, where a generic process prior collides with the modelās internal representations and degrades an otherwise adequate default behavior. The reversal on Craft and Mobility is the same failure mode observed at the level of the task rather than the model: process overload occurs whenever a structured prior is added to a decision problem whose available information has already resolved most of the uncertainty, whether that information comes from a well-matched internal representation (the model-level case) or from an unusually informative candidate set (the family-level case here). A general principle. Unifying the two cases yields a claim broader than boundary alignment on its own: The marginal value of a structured prior is bounded above by the residual uncertainty left after simpler, cheaper information is taken into account, and when that residual uncertainty is small, adding the prior is expected to be net-negative rather than merely ineffective, because the priorās interpretive cost is paid regardless of how little information it contributes. Boundary alignment, the paperās central finding, is a statement about the sign and magnitude of a priorās contribution conditional on it having room to contribute something: an aligned prior realizes a larger fraction of Iā”(Y;Xprocā£Xlo)I(Y;X_proc X_lo) than a misaligned one. The result in this section is a statement about when that conditional quantity is worth pursuing at all. The two combine into a two-part practical criterion for deploying a structured process prior on a new task: first, verify that a minimal, schema-matched baseline (analogous to label-only) leaves substantial residual uncertainty; only if it does is the question of boundary alignmentāwhich prior, worded howāthe right question to ask next. Applying a well-aligned prior to a task that a cheaper baseline has already solved is not merely wasted effort under this account; it is expected to actively degrade performance, which is precisely what we observe on Craft and Mobility. Implications for prompt and system design. This reframes a common failure mode in applied prompt engineering. Structured scaffoldsāchain-of-thought, verification steps, retrieval-augmented context, explicit reasoning templatesāare typically added to a pipeline based on whether they are well-designed, not on whether the task already has enough signal to make them unnecessary. The result here suggests a diagnostic that is cheap to run before committing to a structured intervention: measure accuracy under the minimal information a decision genuinely requires, absent any structured reasoning scaffold. If that minimal baseline is already high, the correct intervention is not a better-worded prior but no prior at all; if it is low, boundary alignmentāensuring the prior matches the specific decision the current input representsābecomes the central design question, consistent with the boundary-alignment account developed throughout this paper. Measuring this baseline is inexpensive relative to developing and tuning a structured prior, making it a practical first step rather than a purely theoretical recommendation. E.4 Reasoning Quality as Alignment, Not Capability Read together, the three findings point away from a common assumption: that a VLMās reasoning quality is a fixed quantity that better perception or a better prompt simply raises. S1 shows that seeing is not deciding, and that what fails is not perception but the step binding perceived evidence to a decision. We read this as a functional dissociation rather than a claim about separable modules, but it is enough to say that in VLMs correct perception is necessary and not sufficient for a faithful decision. Gemini is the instructive exception: improved visual access alone substantially repairs its behavior, indicating that for some models the bottleneck does still lie at the access stage. Placed beside S2 and S3, this suggests a single reframing. The benefit of a reasoning scaffold is a property not of the scaffold or the model alone, but of the alignment among prior, model, and the sceneās decision boundaryāand, per Section E.4, of how much uncertainty is left for that scaffold to resolve in the first place. That reframing dissolves several current tensions. Whether chain-of-thought is reliable may be mis-posed (Sprague et al., 2025; Liu et al., 2024a): if the same prior helps or harms according to alignment and residual uncertainty, any average over heterogeneous scenes will look inconsistent. The friction between instruction-following and visual grounding, visible in Geminiās collapse under a misaligned scaffold, is the same effect from the model side. And the ceiling on prompt engineering follows directly: because alignment is per-scene and residual uncertainty is per-task, no single process prompt is universally good, and a headline gain reported for one is an average that hides per-scene and per-task swings. The reframing also sharpens what we do not yet understand. The most consequential gap is that alignment must currently be supplied by an oracle: its value is clear, but automatic boundary identification is not yet reliable, which is the whole distance between a diagnostic and a method. Three further questions stay open. Our training-level account of the five patterns is a hypothesis, testable through the IFEval correlation we predict but not established here. The framework has a stateable failure mode: where a task has no stable decision boundary, or where perception itself is the bottleneck as it is for Gemini, boundary-aligned priors should help little. And while Section E.4 offers a structural account of the reversal on Cleaning, Craft, and Mobility, it rests on an approximate, first-order relationship between label-only accuracy and residual entropy rather than a directly measured information-theoretic quantity; a schema-matched label-only condition (Appendix A.5) would let this account be tested more precisely. E.5 Broader Implications The benchmark as a source of training signal. In the three-model ablation, the gap between oracle SRT (86.1% and 85.0%) and the self-router (47.8% and 42.8%) is not only a limitation; it is a quantified training opportunity. Process-level supervision has been shown to be more precise and more effective than outcome-level supervision (Lightman et al., 2024), and VPAC-Bench supplies the boundary-level process annotation such supervision needs: oracle-boundary responses can serve as positive examples and wrongly self-routed responses as negatives, forming preference pairs for DPO or RLHF. On this reading the benchmark is not merely diagnostic but a structured signal for boundary-aware reasoning. Process robustness as a separate axis. Structured-prompting work typically reports average gains, which hide the cases where a prompt does harm. Our boundary-sensitive analysis suggests this degradation is not random but concentrated where the generic prior describes a process inconsistent with the imageās true boundary, orāper Section E.4ā where the prior is added to a task that a simpler baseline has already solved. The ability to benefit from a prior without being harmed by a misspecified or unnecessary oneāprocess robustnessāis therefore a property distinct from compatibility, and worth measuring and training for in its own right. Boundary identification as a core visual capability. Taken together, the results argue that recognizing which boundary a scene falls near, within a process family, should be studied as an independent visual capability. Current VLMs manage this only partially (self-router routing accuracy 35.0% to 61.7%), too unreliably to drive routing; reaching 90% or above would largely close the oracle gap and turn our diagnostic upper bound into a deployable method. This needs no new architecture, only training data that labels decision boundaries and asks models to identify them before answering, which VPAC-Bench provides together with a natural evaluation protocol. Section E.4 suggests a complementary capability worth building alongside it: a lightweight pre-check that estimates whether a given decisionās uncertainty has already been resolved by minimal available information, so that a boundary-aware system can decide not only which prior to apply but whether to apply one at all.