resolves YES if there is no confirmed nuclear accident on a vessel under control and operation of the US navy
In the US, UK and French navies there has never been a nuclear plant accident.
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The US Navy has accumulated over 6200 reactor-years of accident-free experience involving 526 nuclear reactor cores over the course of 240 million kilometres, without a single radiological incident, over a period of more than 50 years. It operated 81 nuclear-powered ships (11 aircraft carriers, 70 submarines – 18 SSBN/SSGN, 52 SSN) with 92 reactors in 2017. There were 10 Nimitz-class carriers in service (CVN 68-77), each designed for 50-year service life with one mid-life refuelling and complex overhaul of their two A4W Westinghouse reactors*. The Gerald Ford class (CVN 78 on) has a similar hull and some 800 fewer crew and two more powerful Bechtel A1B reactors driving four shafts as well as the electromagnetic aircraft launch system. It has an expected service life of 90 years. The Ohio-class SSBNs have a service life of 42 years.
thank you hyman g rickover o7

Having become a naval engineering duty officer (EDO) in 1937 after serving as both a surface ship and submarine-qualified unrestricted line officer, his substantial legacy of technical achievements includes the United States Navy's continuing record of zero reactor accidents.[7][8]