Primary sources consulted for F431: 1. Cache-a-lot: Pushing the Limits of Unsatisfiable Core Reuse in SMT-Based Program Analysis (2025): https://arxiv.org/abs/2504.07642 2. cvc5 official proof production documentation: https://cvc5.github.io/docs/cvc5-1.3.1/proofs/proofs.html 3. cvc5 1.3.4 official release: https://github.com/cvc5/cvc5/releases/tag/cvc5-1.3.4 4. Real-time Proof Checking for Distributed Incremental SAT Solving, TACAS 2026: https://doi.org/10.1007/978-3-032-22752-2_18 5. A Natively Parallel Proof Framework for Clause-Sharing SAT Solving (PalRUP), SAT 2026: https://doi.org/10.4230/LIPIcs.SAT.2026.17 6. CaDiCaL 3.0, SAT 2026: https://doi.org/10.4230/LIPIcs.SAT.2026.40 7. PSCache, FSE 2024: https://doi.org/10.1145/3660817 8. Green constraint reuse infrastructure: https://www.cs.sun.ac.za/~jaco/PAPERS/vgd12.pdf Interpretation: F431 migrates structural variable-substitution core matching into the existing proof-carrying QF_BV and QueryStore authority chain. Its current variable domain is 8-bit input reads. It does not claim to reproduce all SMT sorts, evaluation targets, or measured reuse rates from Cache-a-lot.