{ "evaluation_id": "EVAL-20260402-155654", "question_id": "REASON-006", "question_text": "Schedule a one-day conference with these constraints:\n\nTALKS: A (90min), B (60min), C (45min), D (30min), E (30min), F (45min)\nROOMS: Main Hall (capacity 500), Room 2 (capacity 100), Room 3 (capacity 50)\nTIME: 9:00 AM - 5:00 PM, with mandatory lunch break 12:00-1:00 PM\n\nCONSTRAINTS:\n1. Talk A must be in Main Hall (expected attendance: 400)\n2. Talk B and C cannot overlap (same speaker)\n3. Talk D must be before Talk E (E builds on D's content)\n4. Talk F requires Room 2's AV equipment\n5. No room can have more than 3 talks total\n6. At least one talk must be running at all times (except lunch)\n7. Talk A cannot start before 10:00 AM (speaker arriving late)\n8. Talk E must end by 3:00 PM (speaker leaving early)\n\nFind a valid schedule or prove none exists.", "category": "reasoning", "timestamp": "2026-02-18T00:00:00.000Z", "display_date": "Feb 18, 2026", "winner": { "name": "GPT-5.4", "provider": "openrouter", "score": 8.32 }, "avg_score": 5.134, "matrix_size": 72, "models_used": [ { "id": "gemini_25_flash", "name": "Gemini 2.5 Flash", "provider": "openrouter" }, { "id": "gemini_31_pro", "name": "Gemini 3.1 Pro", "provider": "openrouter" }, { "id": "deepseek_v4", "name": "DeepSeek V4", "provider": "openrouter" }, { "id": "claude_opus_46", "name": "Claude Opus 4.6", "provider": "openrouter" }, { "id": "gpt_5_4", "name": "GPT-5.4", "provider": "openrouter" }, { "id": "grok_420", "name": "Grok 4.20", "provider": "openrouter" }, { "id": "claude_sonnet_46", "name": "Claude Sonnet 4.6", "provider": "openrouter" }, { "id": "mimo_v2_flash", "name": "MiMo-V2-Flash", "provider": "Xiaomi" }, { "id": "gpt_oss_120b", "name": "GPT-OSS-120B", "provider": "OpenAI" }, { "id": "minimax_m25", "name": "MiniMax M2.5", "provider": "openrouter" } ], "rankings": { "gpt_5_4": { "display_name": "GPT-5.4", "provider": "openrouter", "average_score": 8.32, "score_count": 8, "min_score": 4, "max_score": 10, "rank": 1 }, "grok_420": { "display_name": "Grok 4.20", "provider": "openrouter", "average_score": 7.38, "score_count": 8, "min_score": 3.8, "max_score": 9.8, "rank": 2 }, "claude_sonnet_46": { "display_name": "Claude Sonnet 4.6", "provider": "openrouter", "average_score": 6.92, "score_count": 8, "min_score": 4, "max_score": 9.05, "rank": 3 }, "claude_opus_46": { "display_name": "Claude Opus 4.6", "provider": "openrouter", "average_score": 5.83, "score_count": 9, "min_score": 2.95, "max_score": 9.6, "rank": 4 }, "deepseek_v4": { "display_name": "DeepSeek V4", "provider": "openrouter", "average_score": 5.71, "score_count": 9, "min_score": 2.65, "max_score": 8, "rank": 5 }, "mimo_v2_flash": { "display_name": "MiMo-V2-Flash", "provider": "Xiaomi", "average_score": 5.35, "score_count": 9, "min_score": 3.55, "max_score": 9.25, "rank": 6 }, "gpt_oss_120b": { "display_name": "GPT-OSS-120B", "provider": "OpenAI", "average_score": 5.35, "score_count": 2, "min_score": 0.7, "max_score": 10, "rank": 7 }, "gemini_25_flash": { "display_name": "Gemini 2.5 Flash", "provider": "openrouter", "average_score": 4.62, "score_count": 9, "min_score": 1.8, "max_score": 8.05, "rank": 8 }, "gemini_31_pro": { "display_name": "Gemini 3.1 Pro", "provider": "openrouter", "average_score": 1.51, "score_count": 8, "min_score": 0.2, "max_score": 2.85, "rank": 9 }, "minimax_m25": { "display_name": "MiniMax M2.5", "provider": "openrouter", "average_score": 0.35, "score_count": 2, "min_score": 0.2, "max_score": 0.5, "rank": 10 } }, "judgments": [ { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 8.05, "brief_justification": "Detailed and logical scheduling attempt, but minor gaps in addressing all constraints fully." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 1.85, "brief_justification": "Response is incomplete, does not provide a valid schedule or proof, and lacks sufficient detail or actionable information." }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 3.4, "brief_justification": "" }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 3.9, "brief_justification": "" }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 9.45, "brief_justification": "The model correctly proves that no valid schedule exists by comparing the total talk duration to the required coverage time. The initial false starts reduce clarity slightly, but the final mathematical proof is excellent and definitive." }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 3.8, "brief_justification": "" }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 4, "brief_justification": "" }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 3.8, "brief_justification": "" }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "gpt_oss_120b", "respondent_name": "GPT-OSS-120B", "weighted_score": 0.7, "brief_justification": "" }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 1.8, "brief_justification": "" }, { "judge_key": "gemini_31_pro", "judge_name": "Gemini 3.1 Pro", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 0.5, "brief_justification": "" }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 2.85, "brief_justification": "Incomplete response, lacks solution or proof." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 9.6, "brief_justification": "The response thoroughly addresses all constraints, provides a valid schedule, and includes detailed verification of each constraint. The clarity is high, though the explanation could be slightly more streamlined. The depth and usefulness are excellent, as it not only presents a solution but also iteratively improves it to meet all requirements." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 9.6, "brief_justification": "Correctly identifies the impossibility of the schedule, thoroughly checks constraints, and provides clear reasoning." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 9.25, "brief_justification": "Accurate, thorough, and clearly structured with minor room for deeper optimization." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 8.6, "brief_justification": "Detailed and accurate solution with clear constraint verification." }, { "judge_key": "deepseek_v4", "judge_name": "DeepSeek V4", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 9.25, "brief_justification": "Fully correct and complete schedule with clear verification of all constraints. Well-structured and practical." }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 0.2, "brief_justification": "The response is essentially empty/incomplete. It does not provide a valid schedule or any meaningful analysis. It appears to be a fragment that trails off without addressing any of the constraints or producing a solution. The problem is clearly solvable, and the response fails entirely to demonstrate this." }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 6.5, "brief_justification": "The response demonstrates a solid methodical approach and correctly applies most constraints. However, it is incomplete - it stops mid-analysis without finishing the schedule. Talk E is identified as remaining but never formally scheduled, and Constraint 6 is not fully verified (e.g., the gap from 9:45-10:00 or 10:45-11:30 in some rooms, and critically the entire 1:00-5:00 PM afternoon block after E would need coverage). The partial schedule constructed so far appears mostly valid, but the respo" }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 4, "brief_justification": "The final conclusion that no valid schedule exists is incorrect. Constraint 6 requires at least one talk running at all times, but talks CAN overlap across different rooms, meaning multiple talks can run simultaneously. This means 300 minutes of talk time can cover 420 minutes if talks overlap sufficiently. For example, running 2 talks simultaneously for 120 minutes would cover the gap. The model incorrectly assumed talks must be sequential and that total talk minutes must equal or exceed total " }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 5.75, "brief_justification": "The schedule has a critical flaw with constraint 6. The requirement states 'at least one talk must be running at all times (except lunch)', meaning coverage is needed from 9:00 AM to 5:00 PM (excluding 12:00-1:00 PM). The schedule leaves 14:30-17:00 completely uncovered, which violates constraint 6. The response incorrectly claims the coverage requirement doesn't apply after the last talk, but the constraint clearly says 'at all times' within the 9:00-5:00 window. With only 300 total minutes of " }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 7.4, "brief_justification": "The schedule is valid and satisfies all 8 constraints. The iterative problem-solving approach showing how gaps were identified and resolved is excellent for clarity and depth. However, the schedule is somewhat unusual in that all talks are crammed into the morning, leaving the entire afternoon empty (1:00-5:00 PM), which while technically valid feels like a suboptimal use of the conference day. The constraint verification is thorough and correct. One minor issue: the coverage check at 9:45-10:00" }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 5.15, "brief_justification": "The schedule violates Constraint 6: 'At least one talk must be running at all times (except lunch).' The conference day is 9:00 AM - 5:00 PM, and no talks run from 2:00 PM to 5:00 PM. The response tries to hand-wave this away by reinterpreting the constraint as only applying during 'active hours,' but the problem clearly states the time window is 9-5 with lunch 12-1, meaning talks must cover 9-12 and 1-5. Additionally, the table shows Talk B running 9:00-10:30 but Talk B is only 60 minutes, and " }, { "judge_key": "claude_opus_46", "judge_name": "Claude Opus 4.6", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 4.5, "brief_justification": "The response demonstrates a systematic approach and correctly identifies constraints, but it never arrives at a final valid schedule. It gets stuck in iterative attempts without resolution, leaving the problem unsolved. The work shown is partially correct in constraint analysis, but the repeated failed attempts without a conclusion significantly reduce completeness and usefulness. A valid schedule clearly exists (e.g., placing B in the 11:00-12:00 slot in Room 2 or Room 3 to cover the gap), but " }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 0.65, "brief_justification": "The response is incomplete and does not answer the scheduling task. It only begins a partial feasibility discussion, omits most talks and constraints, provides no valid schedule or proof, and is not practically useful." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 2.65, "brief_justification": "The response is organized and reasons through constraints, but it fails to finish with a valid schedule or impossibility proof. It stops mid-solution, so it does not satisfy the task despite mostly sound partial reasoning." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 3.75, "brief_justification": "The response is organized and checks many constraints, but its final conclusion is incorrect. Constraint 6 requires at least one talk at all times outside lunch, and with only 300 minutes of talks available for 420 required minutes, no valid schedule exists. The answer improperly reinterprets the constraint and leaves large uncovered gaps." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 5.95, "brief_justification": "Well-structured and checks most constraints, but it incorrectly treats 2:30–5:00 PM as permissible idle time despite the requirement that at least one talk run at all times outside lunch. Since the conference day is 9:00–5:00, the proposed schedule is not valid, though the response is otherwise clear and fairly thorough." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 8.8, "brief_justification": "Finds a valid schedule and checks each constraint clearly. Minor presentation awkwardness in the final table due to overlapping row labels, but the underlying schedule is valid and well justified." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 3.75, "brief_justification": "Well-formatted, but the proposed schedule is invalid: B and C are placed in overlapping time blocks despite claiming they are sequential, and constraint 6 is misinterpreted because at least one talk must run for the full conference day outside lunch, not stop at 2:00 PM. It also inconsistently describes F as later/immediately after lunch when scheduled in the morning." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 2.65, "brief_justification": "The response identifies relevant constraints and starts reasoning clearly, but it is incomplete and never provides a valid schedule or a proof of impossibility. It stops mid-analysis, so it fails the main task despite some structured setup." }, { "judge_key": "gpt_5_4", "judge_name": "GPT-5.4", "respondent_key": "minimax_m25", "respondent_name": "MiniMax M2.5", "weighted_score": 0.2, "brief_justification": "The response provides no schedule, proof, or reasoning, so it does not address the task." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 1.85, "brief_justification": "The response is incomplete and does not provide a schedule or proof of impossibility. It appears to be a fragment or cut-off text that fails to address most constraints or produce a valid output." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 6.05, "brief_justification": "The response provides a partial schedule but fails to fully address all constraints, notably constraint 6 (continuous coverage after lunch and before 5 PM) and room talk limits. It leaves E unscheduled in the provided text, creating gaps in the afternoon. Logical structure is clear but incomplete." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 4.45, "brief_justification": "The response contains multiple internal contradictions, inconsistent schedules, and misinterprets constraint 6. It fails to produce a single coherent valid timetable that satisfies all constraints simultaneously, incorrectly claims full coverage is impossible while asserting a solution exists." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 8.25, "brief_justification": "The response correctly identifies the impossibility due to total talk time (300 min) vs required coverage (420 min), with good analysis of constraints. Minor clarity issues from multiple failed attempts before conclusion, but logically sound and thorough." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 4.45, "brief_justification": "Schedule has multiple factual errors: overlapping talks in same room (C and E in Room 3), incomplete table with missing timeslots and inconsistent entries, fails to place all talks properly, and afternoon is left unused despite room limits allowing more talks. Coverage gaps exist and constraint 6 is not fully met. Analysis is superficial and schedule is invalid." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 4.4, "brief_justification": "The schedule contains multiple factual errors violating constraints: B and C overlap (09:00-10:00 and 09:00-10:45 in different rooms), A starts after 10:30 but B is listed in Main Hall conflicting with A's requirement, times are inconsistent (e.g., B described as 09:00-10:00 but table says 09:00-10:30), and the 'at least one talk running' is misinterpreted as not needing coverage until 5 PM. Some constraints are met but critical violations make it invalid." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "gpt_oss_120b", "respondent_name": "GPT-OSS-120B", "weighted_score": 10, "brief_justification": "The response 'None' is factually correct because no valid schedule exists that satisfies all constraints simultaneously." }, { "judge_key": "grok_420", "judge_name": "Grok 4.20", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 5.45, "brief_justification": "The response correctly identifies key constraints and makes valid placements for A, D, E, and F, but fails to produce a complete valid schedule. It repeatedly violates constraint 6 with an 11:30-12:00 gap and does not place talks B and C successfully. The analysis is clear but lacks depth in exploring alternatives like afternoon slots or different room assignments to fill all time slots." }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 1, "brief_justification": "The response is severely incomplete - it appears to be a fragment that cuts off mid-analysis without providing any actual schedule, solution, or meaningful analysis of the constraints. It fails to address virtually all aspects of the scheduling problem." }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 8, "brief_justification": "The response methodically works through the constraints and arrives at a valid schedule. The step-by-step reasoning is clear and well-organized. It correctly identifies room assignments, handles the lunch break, and respects most constraints including D before E, F in Room 2, A in Main Hall, and A not before 10 AM. The response appears to cut off before fully placing Talk E, which is a minor incompleteness issue. Constraint 6 (at least one talk running at all times) is addressed but not fully ve" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 5, "brief_justification": "The response attempts a thorough analysis but is messy and self-contradictory, presenting an initial schedule, identifying gaps, then revising, but still leaving unresolved issues. The final interpretation of Constraint 6 ('at least one talk must be running at all times except lunch') is incorrectly rationalized away—the constraint clearly requires continuous coverage during all non-lunch hours (9-12 and 1-5), which is mathematically impossible with only 300 minutes of talks for 420 minutes of a" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 7, "brief_justification": "The final conclusion is correct—no valid schedule exists due to insufficient total talk time to cover all non-lunch hours. The mathematical proof (300 min talks vs 420 min available) is sound. However, the response is messy with multiple failed attempts shown before reaching the conclusion, which hurts clarity. The reasoning process is visible but disorganized. The response correctly identifies the impossibility but takes a winding path to get there, and some intermediate attempts contain errors" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 8.35, "brief_justification": "The schedule is valid and all constraints are correctly verified. The solution is well-structured and easy to follow. One minor issue: constraint 6 says 'at least one talk must be running at all times (except lunch)' but the schedule ends at 14:30 with nothing running until 5:00 PM - the response dismisses this by saying 'conference ends' but this interpretation isn't explicitly supported by the problem statement. The problem implies the conference runs 9-5, so this gap from 14:30-17:00 could be" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 7.35, "brief_justification": "The schedule is well-presented and satisfies most constraints, but has a critical flaw with constraint 6: 'at least one talk must be running at all times (except lunch).' The schedule ends at 2:00 PM with no talks from 2:00-5:00 PM, violating this constraint. The response incorrectly justifies this by claiming the requirement doesn't mean talks must occupy the entire day, which is a misinterpretation. Additionally, the table shows Talk B running 9:00-10:30 but the verification says it runs 9:00-" }, { "judge_key": "claude_sonnet_46", "judge_name": "Claude Sonnet 4.6", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 4.85, "brief_justification": "The response starts well by systematically addressing constraints but fails to produce a complete, valid schedule. It repeatedly identifies the 11:30-12:00 gap violation and attempts revisions but never resolves the issue or reaches a final answer. The response is cut off mid-sentence, leaving the problem unsolved. While the analytical approach is sound and constraints are correctly identified, the inability to deliver a working schedule or prove impossibility makes this response incomplete and " }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 2.2, "brief_justification": "The response is incomplete, fails to provide a valid schedule or a proof of impossibility, and contains only fragmented reasoning." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 7.75, "brief_justification": "Schedule is logically structured and mostly correct, but missed a constraint violation (Room 3 has 2 talks, not 3, but constraint 6 is satisfied)." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 8.2, "brief_justification": "The model found a valid schedule and verified constraints, though the final schedule has a minor overlap issue (A and D overlap at 10:00-10:15) and the 11:45-12:00 gap analysis was confusing. Overall, it demonstrates good problem-solving and constraint handling." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 8.65, "brief_justification": "Accurate identification of impossibility due to time mismatch, with clear reasoning and structure." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 9, "brief_justification": "Schedule is valid and meets all constraints; minor deduction for not using Room 3, though not required." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 6.05, "brief_justification": "The schedule contains a critical error: Talk C is scheduled from 10:00-10:45 in Room 3, but Talk B is scheduled from 11:00-12:00 in Room 2. The solver incorrectly claims these do not overlap. Since the morning session ends at 12:00, Talk B ends at 12:00. Therefore, Talk B (11:00-12:00) and Talk C (10:00-10:45) overlap from 11:00-10:45. This violates Constraint 2 (B and C cannot overlap)." }, { "judge_key": "mimo_v2_flash", "judge_name": "MiMo-V2-Flash", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 6, "brief_justification": "Attempted schedule but missed filling the 11:30-12:00 gap, violating Constraint 6; incomplete solution with logical gaps." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 4.4, "brief_justification": "The response outlines a plausible partial schedule and reasoning, but it stops short of placing the final talk and verifying all constraints, leaving the solution incomplete and partially inaccurate." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 2.95, "brief_justification": "The proposed schedule misinterprets the continuous coverage constraint, leaves gaps after lunch, and contains contradictory timing adjustments, failing to meet several constraints and providing unclear reasoning." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 7.15, "brief_justification": "Schedule meets most constraints and is clearly presented, but likely violates the continuous coverage requirement after 2:30 PM, reducing correctness and depth." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 9.05, "brief_justification": "The schedule meets all constraints, is fully detailed, clearly presented with tables and step-by-step reasoning, and offers a practical, actionable plan." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 3.55, "brief_justification": "Schedule contains contradictions (B and C overlap) and fails the continuous-talk requirement after 2pm, making it largely incorrect despite a clear layout." }, { "judge_key": "gpt_oss_120b", "judge_name": "GPT-OSS-120B", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 3.4, "brief_justification": "The answer begins a reasonable scheduling attempt but stops abruptly without delivering a full schedule or proof of impossibility, leaving the solution incomplete and only partially correct." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 6.85, "brief_justification": "The model makes a good attempt at scheduling but gets stuck and doesn't provide a final valid schedule. It correctly identifies constraints and attempts to apply them sequentially, but the final solution is incomplete." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 7.6, "brief_justification": "The model provided a schedule and then self-corrected, which is good. However, the final schedule still has a gap from 1:30 PM to 5:00 PM where no talks are running, which violates constraint 6 if interpreted strictly. The interpretation of constraint 6 is key here. If 'at least one talk must be running at all times' means throughout the entire 9-5 period (excluding lunch), then the solution is incorrect. If it means 'while there are talks to be scheduled', then it's mostly correct. The model's " }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 10, "brief_justification": "The model correctly identified the impossibility of the schedule by analyzing the total talk time versus the required continuous coverage, providing a clear and logical proof." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "grok_420", "respondent_name": "Grok 4.20", "weighted_score": 9.8, "brief_justification": "The model successfully found a valid schedule and meticulously verified all constraints, demonstrating a clear understanding of the problem and its requirements. The presentation is clear and easy to follow." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "claude_sonnet_46", "respondent_name": "Claude Sonnet 4.6", "weighted_score": 7, "brief_justification": "The model attempts to create a schedule but makes a critical error by not scheduling any talks in the afternoon, despite having available time and talks that could fit. It also misinterprets the 'B and C cannot overlap' constraint initially, though it corrects itself. The final schedule is incomplete as it leaves the afternoon entirely empty without justification for not scheduling the remaining talks." }, { "judge_key": "gemini_25_flash", "judge_name": "Gemini 2.5 Flash", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 4.4, "brief_justification": "The proposed schedule has multiple errors and does not satisfy several key constraints, particularly regarding talk overlaps and room usage. The justification for constraint satisfaction is often incorrect due to these errors." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "gemini_31_pro", "respondent_name": "Gemini 3.1 Pro", "weighted_score": 1.45, "brief_justification": "Response is severely incomplete - only fragments of analysis appear, with no valid schedule provided and no proof of impossibility. Stops mid-thought without reaching any conclusion." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "deepseek_v4", "respondent_name": "DeepSeek V4", "weighted_score": 5.75, "brief_justification": "Response shows good analytical approach but fails to complete the schedule. It leaves E unscheduled and doesn't verify constraint 6 (continuous talks) for the post-lunch period. The partial solution doesn't prove validity or impossibility." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "claude_opus_46", "respondent_name": "Claude Opus 4.6", "weighted_score": 7, "brief_justification": "Schedule places all talks correctly in rooms and meets most constraints, but has a 9:45-10:00 gap violating continuous coverage. The response attempts to justify this with a questionable interpretation of constraint 6. Also leaves 1:30-5:00 empty but claims all talks are used." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "gpt_5_4", "respondent_name": "GPT-5.4", "weighted_score": 9.6, "brief_justification": "Mathematically proves no valid schedule exists by calculating the 120-minute gap between available time (420 min) and total talk time (300 min), which violates constraint 6 requiring continuous coverage. Thoroughly attempts multiple schedules before reaching the logical conclusion." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "mimo_v2_flash", "respondent_name": "MiMo-V2-Flash", "weighted_score": 6.5, "brief_justification": "The schedule has a critical flaw: from 10:00-10:30 AM, Talk C runs in Room 2 but Main Hall is empty, violating constraint 6 (at least one talk running at all times except lunch). The response is well-structured and verifies each constraint, but misses this overlap gap. Additionally, the schedule ends at 2 PM with 3 hours of empty time, which while not explicitly forbidden, seems suboptimal." }, { "judge_key": "minimax_m25", "judge_name": "MiniMax M2.5", "respondent_key": "gemini_25_flash", "respondent_name": "Gemini 2.5 Flash", "weighted_score": 4.85, "brief_justification": "Clear and methodical analysis of constraints, but response is incomplete - ends abruptly mid-sentence without providing final schedule or conclusion about feasibility." } ], "meta": { "source": "The Multivac (app.themultivac.com)", "methodology": "10x10 blind peer matrix evaluation", "criteria": "correctness, completeness, clarity, depth, usefulness", "self_judgments": "excluded from rankings", "license": "Open data — cite as: The Multivac (2026)" } }