row_id int64 289 4.81k | sample_idx int64 0 0 | step_id int64 1 9 | direction_idx int64 0 0 | auto_filtered bool 2
classes | auto_filter_reason stringclasses 1
value | solves_full_problem bool 2
classes | solves_full_problem_reason stringlengths 105 276 ⌀ | excessive_task_interpretation bool 2
classes | excessive_task_interpretation_reason stringlengths 132 370 ⌀ | goes_far_beyond_direction bool 2
classes | goes_far_beyond_direction_reason stringlengths 131 353 ⌀ | rejects_direction bool 2
classes | rejects_direction_reason stringlengths 92 258 ⌀ | any_flag bool 2
classes | raw_judge_output stringlengths 3.49k 20.2k ⌀ | parse_error stringclasses 1
value | judge_model stringclasses 1
value | judge_sampling_params dict |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
2,205 | 0 | 2 | 0 | true | no_think_close | null | null | null | null | null | null | null | null | true | null | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
3,387 | 0 | 1 | 0 | false | null | false | The model only tests the n=3 case as requested, without attempting to prove the full problem for all n≥3. | false | The model orients with a brief restatement of the task (two short paragraphs) and then immediately performs the explicit constructions and verifications; this is not excessive. | false | The model stays strictly within the scope of testing the n=3 case; it does not pursue generalizations or other side investigations. | false | The model fully accepts the direction and executes it without any criticism or attempt to change course. | false | We are given a problem: we are screening the output of a model. The user gives: the problem, previous steps (none), direction, and the executing model's output. The job is to flag specific failure modes in that output. The output is the "Executing model's full output". In this case, the executing model is the one we ar... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
3,753 | 0 | 2 | 0 | false | null | false | The step is the final one of the trajectory: executing the direction directly proves the required statement, and no further steps are needed. | false | The model orients briefly then immediately dives into the technical construction and proof, which is the expected work for the step. | false | The model stays within the scope of constructing the spanning tree, picking a leaf, and proving the leaf lies in at most one cycle, exactly as the direction describes. | false | The model accepts the direction without criticism, executes it faithfully, and does not propose an alternative direction. | false | We need to evaluate the raw_output against the four failure modes. Let's go through each.
First, understand the context: The problem statement is to show in a nonempty cactus there exists a vertex in at most one cycle. Previous steps: Step 1 read problem and established definitions, noted edges are bridges or in exact... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
289 | 0 | 7 | 0 | false | null | null | null | false | The model engages in one paragraph of orienting about the definition's wording then immediately proceeds to construct the meet and derive properties; this is the core work of the step rather than excessive interpretation. | false | The output stays within the scope of clarifying that R_{≥i} is the meet of P_i,…,P_L, including its construction and monotonicity; it does not step into later parts of the proof. | false | The model does not reject the direction; it executes the clarification faithfully, only noting a nuance in wording to justify why the definition is indeed the meet. | true | We need to evaluate the raw_output against the four failure modes. The raw_output is the executing model's full response to the direction: "Clarify the definition of R_{≥i} by confirming it is the meet (common refinement) of P_i,…,P_L." The raw_output is the text under "## Step 7: Clarify the definition of R_{≥i} as th... | missing <solves_full_problem> | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
4,424 | 0 | 2 | 0 | false | null | false | The model only executes the requested step (constructing a point D on AB) and does not attempt to solve the full problem of drawing the circle centered at A through B; it mentions the overall goal only as context and stops after producing D. | false | The model orients with a brief restatement of the problem and direction (a few sentences) and then immediately dives into the detailed construction and proof; this is normal orienting behavior and does not exceed one to two paragraphs of task interpretation. | false | The model faithfully follows the direction: it carries out the described construction (Thales circle, choose C, circles with diameters AC and BC, mark D) and proves D lies on AB; the only forward-looking remark ("The rest of the plan…") is a minor pointer and does not execute any additional steps or side investigations... | false | The model fully accepts the proposed direction, executes it without objection, and confirms its validity; there is no statement declaring the direction flawed or attempting to replace it. | false | We are given a problem and a previous reasoning step. The direction is to execute a single step: constructing a point on line AB using the Thales circle and circles with diameters AC and BCched. The executing model's raw output is a detailed description of the construction and proof that D lies on AB. We need to evalua... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
4,198 | 0 | 6 | 0 | false | null | false | The model primarily performs the requested geometric verification using right triangles; the concluding remark about uniqueness simply references earlier steps and does not attempt to re‑solve the entire problem within this step. | false | The model orients with one sentence acknowledging the direction and then immediately carries out the verification work; there is no significant meta‑interpretation or restating of the task beyond a brief orientation. | false | The model stays within the scope of the geometric verification; the short uniqueness remark is a concise reference to earlier reasoning and does not constitute work on additional steps or side‑investigations. | false | The model accepts the chosen direction and executes the direct geometric verification without declaring the direction flawed or attempting to replace it with a different approach. | false | We are given a specific task: read the raw_output of the executing model and flag four specific failure modes. The raw_output is the model's full response. We have the problem statement, previous steps, direction, and raw_output.
Let's parse the raw_output. It's a fairly long output that starts with "We are given a di... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
3,650 | 0 | 1 | 0 | false | null | false | The direction describes the entire complex‑number proof, and the model executes it fully; this step is plausibly the final step of the trajectory, so solving the step is solving the problem. | true | The model spends multiple paragraphs (roughly four) interpreting the task, restating the direction, and discussing orientation choices before beginning the actual algebraic work, which goes well beyond a brief orientation. | false | The model faithfully carries out the complex‑number computation described in the direction, without adding extraneous work or exploring other approaches. | false | The model does not express any disagreement with the direction; it proceeds to execute the planned computation as instructed. | true | We need to evaluate the raw_output against the four failure modes. The raw_output is the executing model's full response. The problem statement is given, previous steps none, direction is to use complex numbers with specific setup and approach. The executing model's output is a detailed derivation that goes through the... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
2,566 | 0 | 4 | 0 | false | null | false | The model does not attempt to prove the original target theorem; it focuses solely on refining the circuit model and reconciling the lower bound as instructed, staying within the scope of a single intermediate step. | false | The model orients itself with a few sentences clarifying the direction, then immediately dives into the technical derivation; this is well within the normal amount of orienting and does not constitute excessive interpretation. | false | The model's entire response is dedicated to the tasks called for in the direction: examining definitions, working through the reduction and extension lemmas, and deriving how the per‑dimension cost depends on the circuit parameters. No work on unrelated steps or side‑investigations is performed. | false | The model accepts the proposed direction without objection and faithfully executes it, producing a detailed analysis that follows the prescribed path. There is no declaration that the direction is flawed or an attempt to replace it with a different approach. | false | We need to evaluate the executing model's output against the four failure modes. The output is the model's response to the direction to "execute the next step". We have to read the whole raw_output (which is the provided "Executing model's full output:"). That output is essentially the model's attempt to do the step. H... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
4,139 | 0 | 6 | 0 | false | null | false | The step is the final step of the trajectory; the direction explicitly asks to finalize the solution and confirm the answer, which is equivalent to solving the full problem, so this is expected and not a failure. | true | The model spends several paragraphs at the beginning interpreting the direction, restating the instructions, and deciding what to include, rather than directly executing the step's work. For example, it writes 'We are given a direction that appears to be the final step...' and continues with multiple paragraphs of meta... | false | The model's output stays within the scope defined by the direction: it restates the lower bound proof, shows the construction, and discusses the interpretation point. No extra work beyond the finalization step is performed. | false | The model faithfully performs the requested finalization, never rejecting or replacing the direction. | true | We need to evaluate the raw_output against the four failure modes. The raw_output is the executing model's full response. The direction given was to "Finalize the solution by confirming the answer and addressing the domain ambiguity." The executing model's output is a lengthy piece that starts by interpreting the direc... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
3,195 | 0 | 2 | 0 | false | null | false | The model does not attempt to prove the target inequality; it only analyzes the direction's hypothesis and concludes that it would make the problem trivial. It does not produce a solution to the original problem. | true | The model spends multiple paragraphs interpreting what the direction means, debating what the step should be, and speculating about the problem's origin (e.g., "The Correlated Pandora problem (Badanidiyuru et al.?)"), rather than simply executing the verification and proposing inequalities. | true | Instead of following the direction to verify the exponential CDF hypothesis and then propose candidate inequalities, the model dives into a deep analysis of the algorithm's structure (deriving properties with M_i, exploring per-box bounds, discussing triviality) and ultimately rejects the direction. This goes far beyon... | true | The model explicitly concludes that the hypothesis is false, that the direction is flawed, and that the step cannot be completed as described. This constitutes a rejection of the given direction. | true | We need to evaluate the raw_output against the four failure modes. The raw_output is the executing model's full response. The direction for the step was: "We hypothesize that the function Z_i(t) in the convex-program benchmark is exactly the CDF of the exponential arrival time α_i generated by the Poisson rounding sche... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
4,807 | 0 | 4 | 0 | false | null | true | The model not only constructs the n=4 example but also states that the configuration generalizes to any n and that the maximum N over all choices is n(n-1), thereby providing the answer to the full problem rather than only executing the requested single step. | false | The model briefly orients itself to the task and then proceeds directly to the construction and verification; any interpretive remarks are minimal and do not exceed a few sentences. | true | The model goes beyond the direction to construct only the n=4 example by explicitly asserting the general result that the maximum N is n(n-1) for all n, which is a substantial extension beyond the scope of the step. | false | The model faithfully follows the proposed direction, adopts the suggested example, and verifies it without rejecting or altering the approach. | true | We need to evaluate the raw_output against the four failure modes. The raw_output is the executing model's full response. The user gave us the problem statement, previous steps, direction, and raw_output. Our job is to read the raw_output end-to-end and decide for each failure mode whether it occurs.
First, let's rest... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
1,880 | 0 | 8 | 0 | false | null | false | The model only verifies the requested inequality \(p \le \text{OPT}\); it does not attempt to solve the full problem or produce a final answer. | false | There is only a brief orientation (a few lines restating the direction) before the model proceeds to the actual verification; no excessive interpretation. | false | The model’s work is entirely dedicated to the verification of \(p \le \text{OPT}\), as asked; it does not explore other aspects or steps. | false | The model accepts the direction and executes it without any rejection or substitution; it simply carries out the requested verification. | false | We are given a specific task: read the raw_output of a model that was asked to execute a single step, and then flag four failure modes: solves_full_problem, excessive_task_interpretation, goes_far_beyond_direction, rejects_direction. We are given the problem, previous steps, direction, and raw_output Po. The raw_output... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
4,362 | 0 | 5 | 0 | false | null | false | The direction itself outlines a construction that directly answers the problem; this step is intended to be the final one that solves it, so solving the full problem is appropriate and not a failure. | false | The model orients in a few sentences before diving into the technical work; this is within normal bounds and not excessive interpretation. | false | The model executes exactly what the direction calls for: verifying base solutions, applying scaling, choosing an LCM, checking distinctness, and concluding. | false | The model fully follows the proposed direction without any criticism or deviation; it embraces the approach and carries it out in detail. | false | We need to evaluate the raw_output against the four failure modes. Let's go through each.
First, understand the context: The problem is to determine existence of n with at least 2018 quadruples. Previous steps have set up scaling argument. The direction given to the executing model is "Family (2k³, 1, 1)" - essentiall... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
1,293 | 0 | 4 | 0 | false | null | false | The step appears to be the final step of the trajectory; the direction describes the complete approach and the model executes it, which is exactly what was asked. It does not try to solve the full problem beyond the scope of this step; it delivers the intended proof strategy. | false | The model spends a few paragraphs orienting and parsing the direction, which is normal and not excessive; it then dives into the technical work. | false | The model's output is a detailed derivation that aligns with the direction; it does not add extra steps or side investigations beyond what the direction called for. | false | The model fully accepts and executes the given direction, with no rejection or substitution. | false | We need to evaluate the raw_output against the four failure modes. The raw_output is the executing model's full response. The user gave us the raw_output. We need to read it, and flag if any of the four failure modes occur: solves_full_problem, excessive_task_interpretation, goes_far_beyond_direction, rejects_direction... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
2,421 | 0 | 9 | 0 | false | null | false | The model executes exactly the substitution and conclusion called for by the direction, which is the intended final step for Claim 2; it does not attempt additional reasoning beyond that step. | false | The output is brief and directly performs the required computation with no more than a sentence of orientation; there is no excessive interpretation or restating of the task. | false | The model stays strictly within the scope of the direction—evaluating the Laplace transform and concluding the exponential law—without adding extra steps or side investigations. | false | The model faithfully follows the direction, performing the substitution and concluding as requested; there is no criticism, rejection, or change of plan. | false | We are given a specific task: read the raw_output of a model that was asked to execute a single step, and flag specific failure modes. The raw_output is the model's response, which is basically a detailed step (Step 9) that performs the substitution and concludes the exponential law. The direction given to the executin... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
1,293 | 0 | 6 | 0 | false | null | false | The model performs only the requested complexity analysis of a specific algorithm; it does not attempt to solve the original rounding problem or produce a final set S. | false | The model opens with a brief orienting paragraph (few sentences) explaining what the step is, which is standard and not excessive; the remainder is technical work called for by the direction. | false | The model stays within the scope of a detailed complexity analysis of the sequential-parts algorithm, exactly as the direction required; it does not pursue extraneous steps or side investigations. | false | The model faithfully executes the direction—it provides a detailed complexity analysis without questioning or replacing the chosen algorithm or approach. | false | We need to evaluate the executing model's output against the four failure modes. The output is the model's full response to the direction: perform a detailed complexity analysis. Let's parse the output.
The raw_output begins: "We are asked to execute the next step, which is a detailed complexity analysis of the sequen... | null | deepseek-ai/DeepSeek-V4-Flash | {
"n": 1,
"temperature": 1,
"top_p": 1,
"max_tokens": 8192,
"seed": 0
} |
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