Sewing machine and non-transitory computer-readable medium storing sewing machine control program

A sewing machine includes a cloth thickness detection device, a storage device, and a control device. The cloth thickness detection device detects a cloth thickness of a work cloth. The storage device stores cut data that include a plurality of needle drop points for a cutting needle. The control device modifies a distance between adjacent ones of the needle drop points in the cut data in accordance with the cloth thickness that has been detected by the cloth thickness detection device. Then control device performs cut work on the work cloth using the cutting needle, in accordance with the cut data in which the distance between the adjacent needle drop points has been modified.