{ "benchmarks": [ { "id": "imo_proof", "label": "IMO-ProofBench" }, { "id": "proofbench", "label": "ProofBench" } ], "experiments": [ { "id": "q9_base", "label": "Qwen3.5-9B · harness methods", "model": "Qwen/Qwen3.5-9B", "seeds": [ 0, 1, 2, 3, 4, 5, 6, 7 ], "description": "Nine proof harnesses, 8 seeds, 8.4M-token trajectory cap, thinking enabled.", "artifact": "qwen35_9b_harness_large_budget_v1", "arms": [ { "id": "direct", "label": "Direct", "description": "One solver call, no verifier." }, { "id": "gvr", "label": "GVR", "description": "Generator → Verifier → Reviser/Generator, up to 3 candidates; the verifier returns a verdict and a ≤600-char critique." }, { "id": "gvr_subagents", "label": "GVR + subagents", "description": "GVR where the generator may spawn up to 3 fresh-context research subagents." }, { "id": "gvr_reference", "label": "GVR + reference", "description": "GVR whose verifier also sees the benchmark reference proof (copied reference spans are filtered from feedback)." }, { "id": "gvr_rationale_score", "label": "GVR · rationale+score", "description": "GVR whose verifier returns a success probability and a ≤1200-char rationale." }, { "id": "gvr_reference_rationale_score", "label": "GVR + reference · rationale+score", "description": "Reference-assisted verifier with the rationale+score feedback." }, { "id": "value_tool", "label": "Value tool", "description": "The solver may call query_success_probability up to 3 times; a fresh-context verifier sees the partial trace and returns only a probability." }, { "id": "value_tool_rationale_score", "label": "Value tool · rationale+score", "description": "Value tool that also returns a rationale." }, { "id": "cch_plan_work_review", "label": "Plan → Work → Review", "description": "Claude-Code-Harness-style plan, work, fresh review and bounded retakes (blind)." } ] }, { "id": "q9_attempt", "label": "Qwen3.5-9B · attempt-conditioned verifiers", "model": "Qwen/Qwen3.5-9B", "seeds": [ 8, 9, 10, 11, 12, 13, 14, 15 ], "description": "24 arms: prior-attempt evidence × GVR/value tool × feedback × reference access; fresh seeds 8–15.", "artifact": "qwen35_9b_attempt_conditioning_v1", "arms": [ { "id": "attempt_solutions_gvr_legacy_no_gold", "label": "GVR · Full solutions · legacy", "description": "GVR whose verifier sees full solutions of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); legacy feedback." }, { "id": "attempt_solutions_gvr_legacy_gold", "label": "GVR · Full solutions · legacy · gold", "description": "GVR whose verifier sees full solutions of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; legacy feedback." }, { "id": "attempt_solutions_gvr_rationale_no_gold", "label": "GVR · Full solutions · rationale", "description": "GVR whose verifier sees full solutions of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); rationale feedback." }, { "id": "attempt_solutions_gvr_rationale_gold", "label": "GVR · Full solutions · rationale · gold", "description": "GVR whose verifier sees full solutions of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; rationale feedback." }, { "id": "attempt_solution_summary_gvr_legacy_no_gold", "label": "GVR · Solution summaries · legacy", "description": "GVR whose verifier sees solution summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); legacy feedback." }, { "id": "attempt_solution_summary_gvr_legacy_gold", "label": "GVR · Solution summaries · legacy · gold", "description": "GVR whose verifier sees solution summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; legacy feedback." }, { "id": "attempt_solution_summary_gvr_rationale_no_gold", "label": "GVR · Solution summaries · rationale", "description": "GVR whose verifier sees solution summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); rationale feedback." }, { "id": "attempt_solution_summary_gvr_rationale_gold", "label": "GVR · Solution summaries · rationale · gold", "description": "GVR whose verifier sees solution summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; rationale feedback." }, { "id": "attempt_thinking_summary_gvr_legacy_no_gold", "label": "GVR · Solution+thinking summaries · legacy", "description": "GVR whose verifier sees solution+thinking summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); legacy feedback." }, { "id": "attempt_thinking_summary_gvr_legacy_gold", "label": "GVR · Solution+thinking summaries · legacy · gold", "description": "GVR whose verifier sees solution+thinking summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; legacy feedback." }, { "id": "attempt_thinking_summary_gvr_rationale_no_gold", "label": "GVR · Solution+thinking summaries · rationale", "description": "GVR whose verifier sees solution+thinking summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); rationale feedback." }, { "id": "attempt_thinking_summary_gvr_rationale_gold", "label": "GVR · Solution+thinking summaries · rationale · gold", "description": "GVR whose verifier sees solution+thinking summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; rationale feedback." }, { "id": "attempt_solutions_value_tool_legacy_no_gold", "label": "Value tool · Full solutions · legacy", "description": "Value tool whose verifier sees full solutions of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); legacy feedback." }, { "id": "attempt_solutions_value_tool_legacy_gold", "label": "Value tool · Full solutions · legacy · gold", "description": "Value tool whose verifier sees full solutions of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; legacy feedback." }, { "id": "attempt_solutions_value_tool_rationale_no_gold", "label": "Value tool · Full solutions · rationale", "description": "Value tool whose verifier sees full solutions of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); rationale feedback." }, { "id": "attempt_solutions_value_tool_rationale_gold", "label": "Value tool · Full solutions · rationale · gold", "description": "Value tool whose verifier sees full solutions of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; rationale feedback." }, { "id": "attempt_solution_summary_value_tool_legacy_no_gold", "label": "Value tool · Solution summaries · legacy", "description": "Value tool whose verifier sees solution summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); legacy feedback." }, { "id": "attempt_solution_summary_value_tool_legacy_gold", "label": "Value tool · Solution summaries · legacy · gold", "description": "Value tool whose verifier sees solution summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; legacy feedback." }, { "id": "attempt_solution_summary_value_tool_rationale_no_gold", "label": "Value tool · Solution summaries · rationale", "description": "Value tool whose verifier sees solution summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); rationale feedback." }, { "id": "attempt_solution_summary_value_tool_rationale_gold", "label": "Value tool · Solution summaries · rationale · gold", "description": "Value tool whose verifier sees solution summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; rationale feedback." }, { "id": "attempt_thinking_summary_value_tool_legacy_no_gold", "label": "Value tool · Solution+thinking summaries · legacy", "description": "Value tool whose verifier sees solution+thinking summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); legacy feedback." }, { "id": "attempt_thinking_summary_value_tool_legacy_gold", "label": "Value tool · Solution+thinking summaries · legacy · gold", "description": "Value tool whose verifier sees solution+thinking summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; legacy feedback." }, { "id": "attempt_thinking_summary_value_tool_rationale_no_gold", "label": "Value tool · Solution+thinking summaries · rationale", "description": "Value tool whose verifier sees solution+thinking summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run); rationale feedback." }, { "id": "attempt_thinking_summary_value_tool_rationale_gold", "label": "Value tool · Solution+thinking summaries · rationale · gold", "description": "Value tool whose verifier sees solution+thinking summaries of 8 labeled prior Direct attempts (seeds 0–7 of the 9B harness run) plus the reference proof; rationale feedback." } ] }, { "id": "q27_base", "label": "Qwen3.8-27B · harness methods", "model": "Qwen/Qwen3.8-27B", "seeds": [ 0, 1, 2 ], "description": "Nine proof harnesses, 3 seeds, 229k-token trajectory cap.", "artifact": "qwen38_27b_harness_v4", "arms": [ { "id": "direct", "label": "Direct", "description": "One solver call, no verifier." }, { "id": "gvr", "label": "GVR", "description": "Generator → Verifier → Reviser/Generator, up to 3 candidates; the verifier returns a verdict and a ≤600-char critique." }, { "id": "gvr_subagents", "label": "GVR + subagents", "description": "GVR where the generator may spawn up to 3 fresh-context research subagents." }, { "id": "gvr_reference", "label": "GVR + reference", "description": "GVR whose verifier also sees the benchmark reference proof (copied reference spans are filtered from feedback)." }, { "id": "gvr_rationale_score", "label": "GVR · rationale+score", "description": "GVR whose verifier returns a success probability and a ≤1200-char rationale." }, { "id": "gvr_reference_rationale_score", "label": "GVR + reference · rationale+score", "description": "Reference-assisted verifier with the rationale+score feedback." }, { "id": "value_tool", "label": "Value tool", "description": "The solver may call query_success_probability up to 3 times; a fresh-context verifier sees the partial trace and returns only a probability." }, { "id": "value_tool_rationale_score", "label": "Value tool · rationale+score", "description": "Value tool that also returns a rationale." }, { "id": "cch_plan_work_review", "label": "Plan → Work → Review", "description": "Claude-Code-Harness-style plan, work, fresh review and bounded retakes (blind)." } ] } ], "status_codes": { "A": "accepted", "L": "cycle_limit", "C": "completed", "P": "protocol_error", "B": "budget_exhausted", "X": "context_exhausted", "F": "failed" }, "verdict_codes": { "c": "correct", "m": "minor_fix", "x": "critical_flaw" }, "cell_fields": [ "seed", "score", "status", "verdicts", "generated_tokens", "calls" ] }