What did the experiment of Hafele and Keating exactly prove with respect to the Special relativity and the intrinsic change of time?

According to A. G. Kelly PhD, the Original Test Results and H & K alterations (ns) are:

Eastward                                      Westward

Clock Test       First      Second    Test        First      Second

No      Results Change Change    Results Change Change

120      -196        -52        -57           +413      +240       +277

361        -54       -110       -74             -44        +74        +284

408     +166         +3        -55           +101      +209       +266

447        -97        -56        -51             +26      +116       +266

Average ---         -54        -59              ---        +160       +273

The bold results are opposite to the SRT prediction.

For the calculus, Hafele and Keating used the non-rotating Earth as the preferred reference frame.

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