I thought a little tutorial might be in order:
IN the image below we have a composition of 4 STLs. The resulting slice is shown on the right.

Half way through, we interrupt the print using the "Kill Job" button. To make sure the already printed pieces don't shift, manually re-enable the print bed heater. Also make note of the layer where we interrupted the print job. In this case layer# 220.

Go back to the object placement tab and remove the part you want to remove, but don't touch the others. Then slice the model again. You should end up with the exact model as before, minus the part you removed. Since you didn't touch the other parts, the location and size of the parts should be exactly the same as before.

Next we need to locate the beginning of the print. Because we used the "verbose g-code" option, we can find it pretty easy, right after the "start g-code", or preamble. You can also tell which layer your looking at, by putting the cursor on a code line, and looking at the bottom of the panel. The layer number will be displayed along with the current g-code line number. Make a note of the line number (in this case #40). Then scroll through the code until you find the layer you want (#220). Notice that there is a discrepancy of 1 layer between the number displayed at the bottom and the number in the G-Code. The reason for it is that the skirt & the first layer are considered layer "0", not "1".

Next put your cursor at the end of the previous line (#263533), hold down the SHIFT key, scroll back up to the first line (#40), and put your cursor at the end of the previous line. The selected g-code will be highlighted in yellow in the visualization panel. Hit the DELETE key. You will be left with only the code starting AFTER the lines you deleted. The visualization panel will show you that code. Also notice that the total number of layers has now changed, to reflect the number of removed layers.

Re-heat the extruder, and when it's ready, extrude a few millimeters of filament to get the flow going, then hit "Run Job". Your print should start on top of the last layer that was printed.
Hope this helps everyone that had a print job go bad half way through.
Have fun.
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To print or, 3D print, that is the question...
SD3 printer w/too many mods, Printrbot Simple Maker Ed., FormLabs Form 1+
AnyCubic Photon, Shining 3D EinScan-S & Atlas 3D scanners...
...and too much time on my hands.