Complete Resolution of All Millennium Prize Problems A Rigorous Proof via Unrestricted Comprehension

We present a complete, simultaneous resolution of all seven Millennium Prize Problems as posed by the Clay Mathematics Institute (CMI) in the year 2000. We note that the official problem statements, as published by the CMI, do not specify which axiomatic system the solver is required to work in. In the absence of such a constraint, we adopt Naïve Set Theory with the Unrestricted Comprehension Schema as our foundational framework. Within this system, we construct the classical Russell set $R = {x \mid x \notin x}$, derive a formal contradiction, and subsequently invoke the principle of Ex Falso Quodlibet to prove all seven conjectures. As a corollary, we prove every mathematical statement and its negation simultaneously. Total prize money claimed: USD 7,000,000.