Datasets:
ModeBench Levels 4 and 5
Ten configs extending the ModeBench release with two harder difficulty levels,
five domains each, in the same row surface as Levels 1-3: problem, answer
(an executable specification carrying its own verifier), and
answer_mode_count.
Admission status
Level 5 is admitted. All five domains cleared held-out confirmation against 128 fresh rows each, 4096 attempts per domain, replayed through the original graders, with worst margins of 0.43 to 0.92 of tolerance. Level 5 carries the same warrant as Levels 1-3.
Level 4 cleared four of five and is not admitted. Countdown, graph colouring, pantry and python factors are difficulty-matched at 0.20, 0.34, 0.81 and 0.32 of tolerance. MathIR missed its pass@1 gate at 1.07 of tolerance: it measured 0.0864 against a 0.0437 target on a 0.04 tolerance. A Level 4 MathIR result should not be reported as difficulty-matched; the other four Level 4 domains may be.
The Level 4 MathIR dataset is sound and verified — the target is what is out of reach. It pairs pass@1 0.0437 with pass@8 0.2402, a heterogeneity gap of 0.060, while every 7B MathIR construction measured runs a gap of 0.169 to 0.398: success concentrates on few prompts, so raising pass@8 into its band drives pass@1 through its ceiling and the two gates cannot be satisfied together. Three difficulty mechanisms were measured — family choice, binding magnitude and denominator structure — and all fail the same way. The same law is difficulty-matched at 14B and ships in Level 5.
Splits
| level | domains | train | dev | eval |
|---|---|---|---|---|
| 4 | 5 | 384 | 128 | 128 |
| 5 | 5 | 384 | 128 | 128 |
Every split was verified against the row digest frozen in its dataset identity, then round-tripped through Parquet and re-read to confirm rows, feature types and column order are unchanged.
Configs
level4_countdown— difficulty-matched: yes, statusheldout_confirmed_difficulty_matchedlevel4_graph_coloring— difficulty-matched: yes, statusheldout_confirmed_difficulty_matchedlevel4_mathir— difficulty-matched: no, statusheldout_confirmed_not_difficulty_matchedlevel4_pantry_plan— difficulty-matched: yes, statusheldout_confirmed_difficulty_matchedlevel4_python_factors— difficulty-matched: yes, statusheldout_confirmed_difficulty_matchedlevel5_countdown— difficulty-matched: yes, statusadmitted_difficulty_matchedlevel5_graph_coloring— difficulty-matched: yes, statusadmitted_difficulty_matchedlevel5_mathir— difficulty-matched: yes, statusadmitted_difficulty_matchedlevel5_pantry_plan— difficulty-matched: yes, statusadmitted_difficulty_matchedlevel5_python_factors— difficulty-matched: yes, statusadmitted_difficulty_matched