The Paradox of Special vs. General Theory of Relativity

Two clocks \textit{C1} and \textit{C2} are synchronized on the earth. Then clock \textit{C2} is flying with a uniform speed at an altitude \textit{h \textgreater 0} above the earth. \begin{enumerate} \item According to the Special Theory of Relativity there is \underline {symmetry} of time dilation between \textit{C1} and \textit{C2} \item But, according to the General Theory of Relativity, there is an \underline {asymmetry} of time between \textit{C1} and \textit{C2}, since the clock \textit{C1} is running slower down in the gravitational field than the clock \textit{C2} which is running faster at a higher altitude \end{enumerate}