With this data:
2014-06-05 00:00:00.00 >process event1
2014-06-05 00:00:02.00 >process event2
2014-06-05 00:00:03.00 <process event2
2014-06-05 00:00:05.00 <process event1
By running:
splot -w 200 -h 100 -if splot-test.txt -o splot-test.png
Results in:

Notice that the event1 representation does not continue after event2 finishes, as it should.