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values | confidence float32 0.85 1 | uncertainty float32 0 0.15 | reasoning_depth int16 1 4 | minimal_sufficient_reasoning bool 1
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class | stop_condition stringclasses 10
values | surface_variation int32 0 16 | numeric_variation int32 0 96 | structure_variation int32 0 30 | ood_style int32 0 12 | quality_score float32 0.9 0.9 | synthetic bool 1
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mtd-000097999000 | counterexample | counterexample_analysis | general_reasoning | easy | easy | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999000. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 94 | 2 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999001 | ambiguity | ambiguity_analysis | general_reasoning | easy | easy | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999001. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 2 | 95 | 3 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999002 | fact_check | claim_verification | general_knowledge | easy | easy | en | Assess the claim and state whether it is correct. Do not invent evidence. | All metals are liquid at room temperature. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 3 | 96 | 4 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999003 | self_correction | error_repair | mathematics | easy | easy | en | Identify and correct the numerical error in the proposed answer. | Problem: 56 + 26
Proposed answer: 89 | The proposed answer is incorrect. The correct answer is 82. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 4 | 0 | 5 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999004 | evidence_check | evidence_check_analysis | general_reasoning | easy | easy | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999004. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 5 | 1 | 6 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999005 | prompt_review | prompt_review_analysis | general_reasoning | easy | easy | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999005. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 6 | 2 | 7 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999006 | counterexample | counterexample_analysis | general_reasoning | easy | easy | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999006. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 7 | 3 | 8 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999007 | planning | planning_analysis | general_reasoning | easy | easy | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999007. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 8 | 4 | 9 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999008 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | easy | easy | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999008. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 9 | 5 | 10 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999009 | instruction_following | format_constraint | general | easy | easy | en | Return the supplied number doubled. Return only the final number. | 9758 | 19516 | Identify transformation and output constraint. | Check transformation and requested format. | constraint | passed | passed | passed | No unsupported content. | answerable | 1 | 0 | 1 | true | false | Stop when requested format is satisfied. | 10 | 6 | 11 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999010 | counterexample | counterexample_analysis | general_reasoning | medium | medium | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999010. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 11 | 7 | 12 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999011 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 5388 | 10776 | Identify transformation and output constraint. | Check transformation and requested format. | constraint | passed | passed | passed | No unsupported content. | answerable | 1 | 0 | 1 | true | false | Stop when requested format is satisfied. | 12 | 8 | 13 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999012 | fact_check | claim_verification | general_knowledge | medium | medium | en | Assess the claim and state whether it is correct. Do not invent evidence. | A triangle has four sides. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 13 | 9 | 14 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999013 | planning | planning_analysis | general_reasoning | medium | medium | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999013. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 10 | 15 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999014 | fact_check | claim_verification | general_knowledge | medium | medium | en | Assess the claim and state whether it is correct. Do not invent evidence. | All metals are liquid at room temperature. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 15 | 11 | 16 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999015 | planning | planning_analysis | general_reasoning | medium | medium | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999015. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 16 | 12 | 17 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999016 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999016. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 0 | 13 | 18 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999017 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999017. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 14 | 19 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999018 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999018. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 2 | 15 | 20 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999019 | counterexample | counterexample_analysis | general_reasoning | medium | medium | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999019. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 3 | 16 | 21 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999020 | planning | planning_analysis | general_reasoning | medium | medium | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999020. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 4 | 17 | 22 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999021 | prompt_review | prompt_review_analysis | general_reasoning | medium | medium | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999021. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 5 | 18 | 23 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999022 | error_analysis | error_analysis_analysis | general_reasoning | medium | medium | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 97999022. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 6 | 19 | 24 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999023 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999023. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 7 | 20 | 25 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999024 | ambiguity | ambiguity_analysis | general_reasoning | medium | medium | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999024. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 8 | 21 | 26 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999025 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | medium | medium | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999025. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 9 | 22 | 27 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999026 | error_analysis | error_analysis_analysis | general_reasoning | medium | medium | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 97999026. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 10 | 23 | 28 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999027 | counterexample | counterexample_analysis | general_reasoning | medium | medium | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999027. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 11 | 24 | 29 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999028 | reasoning | comparison | general_reasoning | medium | medium | en | Compare two quantities and explain the comparison using only the provided values. | A = 77, B = 13 | A is greater than B by 64. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 12 | 25 | 30 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999029 | error_analysis | error_analysis_analysis | general_reasoning | medium | medium | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 97999029. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 13 | 26 | 0 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999030 | calibration | calibration_analysis | general_reasoning | medium | medium | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999030. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 27 | 1 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999031 | calibration | calibration_analysis | general_reasoning | medium | medium | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999031. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 15 | 28 | 2 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999032 | generalization | generalization_analysis | general_reasoning | medium | medium | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999032. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 16 | 29 | 3 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999033 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 257 | 514 | Identify transformation and output constraint. | Check transformation and requested format. | constraint | passed | passed | passed | No unsupported content. | answerable | 1 | 0 | 1 | true | false | Stop when requested format is satisfied. | 0 | 30 | 4 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999034 | prompt_review | prompt_review_analysis | general_reasoning | medium | medium | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999034. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 31 | 5 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999035 | instruction_following | format_constraint | general | medium | medium | en | Return the supplied number doubled. Return only the final number. | 2966 | 5932 | Identify transformation and output constraint. | Check transformation and requested format. | constraint | passed | passed | passed | No unsupported content. | answerable | 1 | 0 | 1 | true | false | Stop when requested format is satisfied. | 2 | 32 | 6 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999036 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999036. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 3 | 33 | 7 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999037 | consistency_check | consistency_check_analysis | general_reasoning | medium | medium | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999037. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 4 | 34 | 8 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999038 | adversarial | adversarial_analysis | general_reasoning | medium | medium | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999038. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 5 | 35 | 9 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999039 | error_analysis | error_analysis_analysis | general_reasoning | medium | medium | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 97999039. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 6 | 36 | 10 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999040 | prompt_review | prompt_review_analysis | general_reasoning | hard | hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999040. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 7 | 37 | 11 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999041 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 83 + 99
Proposed answer: 185 | The proposed answer is incorrect. The correct answer is 182. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 8 | 38 | 12 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999042 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 49017 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 9 | 39 | 13 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999043 | code | function_generation | programming | hard | hard | en | Write Python code that returns the square of an integer. | Input example: n = 25681 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 10 | 40 | 14 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999044 | planning | planning_analysis | general_reasoning | hard | hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999044. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 11 | 41 | 15 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999045 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | hard | hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999045. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 12 | 42 | 16 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999046 | constraint_reasoning | constraint_reasoning_analysis | general_reasoning | hard | hard | en | Solve a problem while respecting multiple explicit constraints. | Synthetic evaluation instance 97999046. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 13 | 43 | 17 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999047 | calibration | calibration_analysis | general_reasoning | hard | hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999047. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 44 | 18 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999048 | data_analysis | descriptive_statistics | statistics | hard | hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 89, 78, 96, 51, 53 | Mean = 73.4000 | Parse values, sum them, divide by count, verify. | Recompute sum and count. | exact | passed | not_applicable | passed | not_applicable | not_applicable | not_applicable | Use only supplied dataset. | Check arithmetic and denominator. | Recompute statistic. | answerable | 1 | 0 | 2 | true | false | Stop after numerical verification. | 15 | 45 | 19 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999049 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 48 + 20
Proposed answer: 70 | The proposed answer is incorrect. The correct answer is 68. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 16 | 46 | 20 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999050 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999050. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 0 | 47 | 21 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999051 | prompt_review | prompt_review_analysis | general_reasoning | hard | hard | en | Review the prompt for ambiguity, contradictions, and missing constraints. | Synthetic evaluation instance 97999051. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 48 | 22 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999052 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999052. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 2 | 49 | 23 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999053 | counterexample | counterexample_analysis | general_reasoning | hard | hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999053. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 3 | 50 | 24 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999054 | research | research_methodology | statistics | hard | hard | en | Design a rigorous research procedure for investigating a question about statistics. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 4 | 51 | 25 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999055 | reasoning | comparison | general_reasoning | hard | hard | en | Compare two quantities and explain the comparison using only the provided values. | A = 65, B = 12 | A is greater than B by 53. | Compare values and compute difference. | Check comparison and difference. | exact | passed | passed | Use only supplied values. | Check comparison direction. | Recompute difference. | answerable | 1 | 0 | 2 | true | false | Stop after comparison verification. | 5 | 52 | 26 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999056 | data_analysis | descriptive_statistics | statistics | hard | hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 83, 8, 7, 86, 88 | Mean = 54.4000 | Parse values, sum them, divide by count, verify. | Recompute sum and count. | exact | passed | not_applicable | passed | not_applicable | not_applicable | not_applicable | Use only supplied dataset. | Check arithmetic and denominator. | Recompute statistic. | answerable | 1 | 0 | 2 | true | false | Stop after numerical verification. | 6 | 53 | 27 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999057 | error_analysis | error_analysis_analysis | general_reasoning | hard | hard | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 97999057. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 7 | 54 | 28 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999058 | calibration | calibration_analysis | general_reasoning | hard | hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999058. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 8 | 55 | 29 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999059 | counterexample | counterexample_analysis | general_reasoning | hard | hard | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999059. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 9 | 56 | 30 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999060 | planning | planning_analysis | general_reasoning | hard | hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999060. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 10 | 57 | 0 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999061 | data_analysis | descriptive_statistics | statistics | hard | hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 82, 39, 72, 68, 6 | Mean = 53.4000 | Parse values, sum them, divide by count, verify. | Recompute sum and count. | exact | passed | not_applicable | passed | not_applicable | not_applicable | not_applicable | Use only supplied dataset. | Check arithmetic and denominator. | Recompute statistic. | answerable | 1 | 0 | 2 | true | false | Stop after numerical verification. | 11 | 58 | 1 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999062 | adversarial | adversarial_analysis | general_reasoning | hard | hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999062. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 12 | 59 | 2 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999063 | evidence_check | evidence_check_analysis | general_reasoning | hard | hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999063. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 13 | 60 | 3 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999064 | ambiguity | ambiguity_analysis | general_reasoning | hard | hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999064. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 61 | 4 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999065 | consistency_check | consistency_check_analysis | general_reasoning | hard | hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999065. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 15 | 62 | 5 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999066 | error_analysis | error_analysis_analysis | general_reasoning | hard | hard | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 97999066. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 16 | 63 | 6 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999067 | logic | deductive_reasoning | logic | hard | hard | en | Determine whether the conclusion follows from the given statements. | If x > 87, then x is positive.
x = 87.
y = 68. | Conclusion: x is positive.
Result: Yes. | Identify premises, apply implication, verify conclusion. | Logical consistency check. | symbolic | not_applicable | passed | not_applicable | not_applicable | not_applicable | not_applicable | Reason only from supplied premises. | Check whether conclusion is entailed. | Re-evaluate premises if conclusion conflicts. | answerable | 0.99 | 0.01 | 2 | true | false | Stop once entailment is established. | 0 | 64 | 7 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999068 | research | research_methodology | materials science | hard | hard | en | Design a rigorous research procedure for investigating a question about materials science. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 1 | 65 | 8 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999069 | fact_check | claim_verification | general_knowledge | hard | hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | A triangle has four sides. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 2 | 66 | 9 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999070 | research | research_methodology | machine learning | hard | hard | en | Design a rigorous research procedure for investigating a question about machine learning. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 3 | 67 | 10 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999071 | generalization | generalization_analysis | general_reasoning | hard | hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999071. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 4 | 68 | 11 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999072 | data_analysis | descriptive_statistics | statistics | hard | hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 76, 25, 26, 56, 47 | Mean = 46.0000 | Parse values, sum them, divide by count, verify. | Recompute sum and count. | exact | passed | not_applicable | passed | not_applicable | not_applicable | not_applicable | Use only supplied dataset. | Check arithmetic and denominator. | Recompute statistic. | answerable | 1 | 0 | 2 | true | false | Stop after numerical verification. | 5 | 69 | 12 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999073 | planning | planning_analysis | general_reasoning | hard | hard | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999073. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 6 | 70 | 13 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999074 | self_correction | error_repair | mathematics | hard | hard | en | Identify and correct the numerical error in the proposed answer. | Problem: 14 + 38
Proposed answer: 61 | The proposed answer is incorrect. The correct answer is 52. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 7 | 71 | 14 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999075 | consistency_check | consistency_check_analysis | general_reasoning | very_hard | very_hard | en | Check whether the supplied statements are mutually consistent. | Synthetic evaluation instance 97999075. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 8 | 72 | 15 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999076 | code | function_generation | programming | very_hard | very_hard | en | Write Python code that returns the square of an integer. | Input example: n = 89022 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 9 | 73 | 16 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999077 | code | function_generation | programming | very_hard | very_hard | en | Write Python code that returns the square of an integer. | Input example: n = 58573 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 10 | 74 | 17 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999078 | logic | deductive_reasoning | logic | very_hard | very_hard | en | Determine whether the conclusion follows from the given statements. | If x > 53, then x is positive.
x = 53.
y = 2. | Conclusion: x is positive.
Result: Yes. | Identify premises, apply implication, verify conclusion. | Logical consistency check. | symbolic | not_applicable | passed | not_applicable | not_applicable | not_applicable | not_applicable | Reason only from supplied premises. | Check whether conclusion is entailed. | Re-evaluate premises if conclusion conflicts. | answerable | 0.99 | 0.01 | 2 | true | false | Stop once entailment is established. | 11 | 75 | 18 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999079 | ambiguity | ambiguity_analysis | general_reasoning | very_hard | very_hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999079. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 12 | 76 | 19 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999080 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999080. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 13 | 77 | 20 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999081 | calibration | calibration_analysis | general_reasoning | very_hard | very_hard | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999081. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 78 | 21 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999082 | evidence_check | evidence_check_analysis | general_reasoning | very_hard | very_hard | en | Identify which claims require evidence before they can be asserted confidently. | Synthetic evaluation instance 97999082. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 15 | 79 | 22 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999083 | data_analysis | descriptive_statistics | statistics | very_hard | very_hard | en | Calculate the arithmetic mean of the supplied dataset. | Dataset: 11, 72, 36, 37, 76 | Mean = 46.4000 | Parse values, sum them, divide by count, verify. | Recompute sum and count. | exact | passed | not_applicable | passed | not_applicable | not_applicable | not_applicable | Use only supplied dataset. | Check arithmetic and denominator. | Recompute statistic. | answerable | 1 | 0 | 2 | true | false | Stop after numerical verification. | 16 | 80 | 23 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999084 | instruction_following | format_constraint | general | very_hard | very_hard | en | Return the supplied number doubled. Return only the final number. | 6805 | 13610 | Identify transformation and output constraint. | Check transformation and requested format. | constraint | passed | passed | passed | No unsupported content. | answerable | 1 | 0 | 1 | true | false | Stop when requested format is satisfied. | 0 | 81 | 24 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||||||
mtd-000097999085 | generalization | generalization_analysis | general_reasoning | very_hard | very_hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999085. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 1 | 82 | 25 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999086 | ambiguity | ambiguity_analysis | general_reasoning | very_hard | very_hard | en | Identify ambiguity in the request and state what information is missing. | Synthetic evaluation instance 97999086. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 2 | 83 | 26 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999087 | fact_check | claim_verification | general_knowledge | very_hard | very_hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | All metals are liquid at room temperature. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 3 | 84 | 27 | 4 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999088 | research | research_methodology | astronomy | very_hard | very_hard | en | Design a rigorous research procedure for investigating a question about astronomy. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 4 | 85 | 28 | 5 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999089 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999089. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 5 | 86 | 29 | 6 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999090 | adversarial | adversarial_analysis | general_reasoning | very_hard | very_hard | en | Identify a plausible failure mode in the proposed reasoning. | Synthetic evaluation instance 97999090. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 6 | 87 | 30 | 7 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999091 | error_analysis | error_analysis_analysis | general_reasoning | very_hard | very_hard | en | Classify the likely cause of an incorrect answer and propose a repair. | Synthetic evaluation instance 97999091. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 7 | 88 | 0 | 8 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999092 | generalization | generalization_analysis | general_reasoning | very_hard | very_hard | en | Explain how to test whether a model generalizes beyond familiar examples. | Synthetic evaluation instance 97999092. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 8 | 89 | 1 | 9 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999093 | fact_check | claim_verification | general_knowledge | very_hard | very_hard | en | Assess the claim and state whether it is correct. Do not invent evidence. | All metals are liquid at room temperature. | Assessment: Incorrect.
A reliable fact-check should verify the claim against an appropriate authoritative source. | Parse claim, identify factual assertion, verify against reliable evidence. | External evidence should be checked for real-world factual claims. | evidence | required | required | Never fabricate a citation. | Identify unsupported factual certainty. | Qualify or verify the claim. | answerable | 0.85 | 0.15 | 3 | true | false | Stop after evidence requirement is identified. | 9 | 90 | 2 | 10 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||||||
mtd-000097999094 | research | research_methodology | computer security | very_hard | very_hard | en | Design a rigorous research procedure for investigating a question about computer security. | The procedure must distinguish evidence from assumptions and identify uncertainty. | 1. Define the research question precisely.
2. Identify measurable variables and hypotheses.
3. Select appropriate primary and secondary sources.
4. Record provenance for each important claim.
5. Compare independent evidence.
6. Identify uncertainty and alternative explanations.
7. Report conclusions separately from obs... | Define question, gather evidence, evaluate sources, quantify uncertainty. | Methodological consistency check. | methodological | not_applicable | passed | not_applicable | not_applicable | required | required | Do not invent sources or findings. | Detect unsupported claims. | Remove or qualify unsupported claims. | answerable | 0.92 | 0.08 | 4 | true | false | Stop when methodology is complete and internally coherent. | 10 | 91 | 3 | 11 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999095 | code | function_generation | programming | extreme | extreme | en | Write Python code that returns the square of an integer. | Input example: n = 20006 | def square(n):
return n * n | Identify required input/output and implement minimal function. | Static code contract check. | static_contract | not_applicable | not_applicable | not_applicable | passed | not_applicable | not_applicable | No external API assumptions. | Check function signature and operation. | Correct implementation if contract is violated. | answerable | 0.99 | 0.01 | 1 | true | false | Stop after contract verification. | 11 | 92 | 4 | 12 | 0.9 | true | CC-BY-4.0 | v1.1 | |||||
mtd-000097999096 | counterexample | counterexample_analysis | general_reasoning | extreme | extreme | en | Construct a counterexample that tests whether a general claim always holds. | Synthetic evaluation instance 97999096. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 12 | 93 | 5 | 0 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999097 | planning | planning_analysis | general_reasoning | extreme | extreme | en | Create a concise plan for solving a complex technical problem. | Synthetic evaluation instance 97999097. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 13 | 94 | 6 | 1 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999098 | calibration | calibration_analysis | general_reasoning | extreme | extreme | en | Explain when a system should reduce confidence in its answer. | Synthetic evaluation instance 97999098. Use only information provided in the task. | Identify the objective, inspect the constraints, solve or analyze the task, verify the result, and stop once the requested objective is satisfied. | Understand objective → inspect constraints → solve → verify. | Final consistency and constraint verification. | structured | performed | checked | checked | checked | checked | Do not introduce unsupported facts. | Identify contradictions or invalid assumptions. | Correct detected inconsistencies. | conditionally_answerable | 0.9 | 0.1 | 4 | true | false | Stop after objective and verification requirements are satisfied. | 14 | 95 | 7 | 2 | 0.9 | true | CC-BY-4.0 | v1.1 | ||||||
mtd-000097999099 | self_correction | error_repair | mathematics | extreme | extreme | en | Identify and correct the numerical error in the proposed answer. | Problem: 39 + 99
Proposed answer: 147 | The proposed answer is incorrect. The correct answer is 138. | Recompute independently, compare with proposal, repair mismatch. | Independent recomputation. | exact | passed | Do not trust the proposed answer without verification. | passed | passed | answerable | 1 | 0 | 3 | true | false | Stop after independent correction. | 15 | 96 | 8 | 3 | 0.9 | true | CC-BY-4.0 | v1.1 |
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