start after the known tsns

weed/mq/logstore/read_log_from_disk.go

@@ -36,7 +36,7 @@ func GenLogOnDiskReadFunc(filerClient filer_pb.FilerClient, t topic.Topic, p top
 				err = fmt.Errorf("unexpected unmarshal mq_pb.Message: %v", err)
 				return
 			}
-			if logEntry.TsNs < starTsNs {
+			if logEntry.TsNs <= starTsNs {
 				pos += 4 + int(size)
 				continue
 			}

weed/mq/logstore/read_parquet_to_log.go

@@ -73,7 +73,7 @@ func GenParquetReadFunc(filerClient filer_pb.FilerClient, t topic.Topic, p topic
 					return processedTsNs, fmt.Errorf("ToRecordValue failed: %v", err)
 				}
 				processedTsNs = recordValue.Fields[SW_COLUMN_NAME_TS].GetInt64Value()
-				if processedTsNs < starTsNs {
+				if processedTsNs <= starTsNs {
 					continue
 				}
 				if stopTsNs != 0 && processedTsNs >= stopTsNs {