verification/terminal-bench/README.md

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.