A determination of the $C!P$-even fraction $F_+$ in the decay $D^0 o
K^+K^-pi^+pi^-$ is presented. Using $2.93$ fb$^{-1}$ of
$e^+e^- opsi(3770) o Dar{D}$ data collected by the BESIII detector, one
charm meson is reconstructed in the signal mode and the other in a $C!P$
eigenstate or the decay $D o K_{S, L}^0pi^+pi^-$. Analysis of the relative
rates of these double-tagged events yields the result $F_+ = 0.730 pm 0.037
pm 0.021$, where the first uncertainty is statistical and the second is
systematic. This is the first model-independent measurement of $F_+$ in $D^0
o K^+K^-pi^+pi^-$ decays.
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