ProofBench v1.1
Lumina VerifiedLumina checked the published sources, versions, model labels, score extraction and conversion. External evaluations were run by their publishers; Lumina has not independently rerun or reproduced them.Accuracy
ProofBench v1.1
Lumina Score vs Cost per Task
Published per-test USD and Duration/Test retain their native definitions. Tokens use published averages or original aggregate counts divided by token_tasks_measured; total = input + output, with cache and reasoning subsets retained separately rather than counted twice. No task values are inferred from token prices or compute budgets.
Lumina Score vs Tokens
Published per-test USD and Duration/Test retain their native definitions. Tokens use published averages or original aggregate counts divided by token_tasks_measured; total = input + output, with cache and reasoning subsets retained separately rather than counted twice. No task values are inferred from token prices or compute budgets.
Lumina Score vs Time per Task
Published per-test USD and Duration/Test retain their native definitions. Tokens use published averages or original aggregate counts divided by token_tasks_measured; total = input + output, with cache and reasoning subsets retained separately rather than counted twice. No task values are inferred from token prices or compute budgets.
Published per-test USD and Duration/Test retain their native definitions. Tokens use published averages or original aggregate counts divided by token_tasks_measured; total = input + output, with cache and reasoning subsets retained separately rather than counted twice. No task values are inferred from token prices or compute budgets. Missing metrics are omitted from their graph; quality scores remain available.
Results table
Method & coverage
ProofBench v1.1 private test split, Lean 4 formal proofs with Mathlib search and Lean execution; no informal proof supplied. General models up to 40 turns, no internet. Specialized proof systems retain their own harness, toolchain and web access distinctions.
Published per-test USD and Duration/Test retain their native definitions. Tokens use published averages or original aggregate counts divided by token_tasks_measured; total = input + output, with cache and reasoning subsets retained separately rather than counted twice. No task values are inferred from token prices or compute budgets.
How the Lumina conversion works
1,000 + 75 × ((original score − 55.98148148148148) / 32.081776724570794). The result is rounded once. Scores may tie.
Frozen initial observed text-only cohort; one mean per exact publisher release/API, balancing repeated settings/routes within that release. Original score and protocol remain separate. No inferred variants or future refitting.
- Calibration
- vals-proofbench-z75-v1 · experimental
- Reference mean
- 55.98148148148148
- Population SD
- 32.081776724570794
- Coverage
- Standalone benchmark.
Identity, exclusions & attribution
ProofBench v1.1 private test split, Lean 4 formal proofs with Mathlib search and Lean execution; no informal proof supplied. General models up to 40 turns, no internet. Specialized proof systems retain their own harness, toolchain and web access distinctions.
Publisher standard errors retained; no confidence level or interval inferred. Aggregate reporting scope is recorded in the current source-specific publication review.
Standalone text benchmark; no new combined index. Source identity/effort/protocol qualifications remain in Data and CSV.
All published reasoning settings, including Claude Max, are included by default. Display labels use Low and xHigh; source labels remain in the retained records.
Official source · Publication terms / evidence
Publisher terms. Scores and resource figures are attributed to the original publisher.