I am pleased to share that the P vs NP question has been resolved, establishing that P = NP. The full write‑up and proof sketch are available here: https://huggingface.co/caletechnology/satisfier/blob/main/Solving_the_Boolean_k_SAT_Problem_in__Polynomial_Time.pdf

You can also review and experiment with the accompanying C implementation: https://huggingface.co/caletechnology/satisfier/tree/main

I welcome feedback and discussion on this claim.