# Terminal-Bench verification artifacts

This directory accompanies the proposed Terminal-Bench Verifiable Open
Problems collection. The dataset records remain ordinary mathematical problem
statements. These files provide optional, independently inspectable
formalizations and finite-witness checkers.

For each problem directory:

- `checker.py` is the public exact checker for a constructive witness;
- `Statement.lean`, where present, defines the corresponding construction or
  nonexistence proposition in Lean 4 and mathlib; and
- `STATUS.md`, where present, records the dated literature audit and primary
  sources used when the problem was selected.

The checkers were originally packaged for Terminal-Bench and therefore expect
the JSON formats documented in their module-level constants and error
messages. Checkers for named public challenge instances also expect the
official input file described in the associated `STATUS.md`. The large public
instances are not duplicated here.

These artifacts are supplementary. They are not imported by the UnsolvedMath
dataset loader, and accepting the mathematical records does not require using
Terminal-Bench as part of the trusted computing base.

| Dataset ID | Problem | Verification |
| --- | --- | --- |
| `TBV-001` | AES S-box multiplicative complexity | exhaustive checker and Lean statement |
| `TBV-002` | Costas array of order 32 | exact checker and Lean statement |
| `TBV-003` | eight-bit APN permutation | complete difference-table checker and Lean statement |
| `TBV-004` | balanced nine-variable nonlinearity | exact Walsh checker and Lean statement |
| `TBV-005` | radius-two covering code | exhaustive syndrome checker and Lean statement |
| `TBV-006` | Curve25519 inversion chain | exact exponent checker and Lean statement |
| `TBV-007` | Fukuoka MQ Type VI | finite-field substitution checker |
| `TBV-008` | Provider0 syndrome decoding | binary syndrome checker |
| `TBV-009` | Keccak width-200 preimage | bit-exact sponge checker |
| `TBV-010` | minimum Kochen-Specker system | exact ray checker and two Lean routes |
| `TBV-011` | rank-23 matrix multiplication | symbolic coefficient checker and Lean statement |
| `TBV-012` | order-23 maximal determinant | exact determinant checker and Lean statement |
| `TBV-013` | 32-bit MDS XOR layer | exact linear-circuit checker and Lean statement |
| `TBV-014` | three MOLS of order 10 | exact array checker and Lean statement |
| `TBV-015` | Ramsey number `R(3,10)` | exact graph checker and Lean statement |
| `TBV-016` | eight-bit permutation nonlinearity | exact Walsh checker and Lean statement |
| `TBV-017` | 32-step SHA-256 collision | bit-exact compression checker |
| `TBV-018` | dimension-210 SVP record | exact integer lattice checker |
| `GRAPH-024` | Conway's 99-graph | exact graph checker and Lean statement |
| `GRAPH-025` | degree-diameter `(5,5)` frontier | exact graph checker and Lean statement |

`sync_collection.py` deterministically inserts the eighteen new records,
updates the two existing records, and synchronizes the denormalized dataset
exports and statistics.