Evaluate $f = x_1 \lor x_2 \lor x_3x_4$ only via $\oplus$
$x_1 \lor x_2 \lor x_3x_4 = (x_1 \oplus x_2 \oplus x_1x_2) \lor x_3x_4 = (x_1 \oplus x_2 \oplus x_1x_2) \oplus x_3x_4 \oplus (x_1 \oplus x_2 \oplus x_1x_2)x_3x_4$
How can one get rid of the conjunction?
Any ideas?