Fixes https://trac.ffmpeg.org/ticket/5940#ticket

---
 libavformat/hlsenc.c | 1 +
 1 file changed, 1 insertion(+)

diff --git a/libavformat/hlsenc.c b/libavformat/hlsenc.c
index 9ca2df7..80a598a 100644
--- a/libavformat/hlsenc.c
+++ b/libavformat/hlsenc.c
@@ -183,6 +183,7 @@ static int hls_delete_old_segments(HLSContext *hls) {
     segment = hls->old_segments;
     while (segment) {
         playlist_duration -= segment->duration;
+        initial_prog_date_time += segment->duration;
         previous_segment = segment;
         segment = previous_segment->next;
         if (playlist_duration <= -previous_segment->duration) {
-- 
2.10.0
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