Display Screen or Portion Thereof with Graphical User Interface for a Core Orientation System

FIG. 1 is a front view of a display screen or portion thereof showing a first image of a graphical user interface for a core orientation system in accordance with the present design; FIG. 2 is a front view of a display screen or portion thereof showing a second image of the graphical user interface; FIG. 3 is a front view of a display screen or portion thereof showing a third image of the graphical user interface; FIG. 4 is a front view of a display screen or portion thereof showing a fourth image of the graphical user interface; FIG. 5 is a front view of a display screen or portion thereof showing a fifth image of the graphical user interface; FIG. 6 is a front view of a display screen or portion thereof showing a sixth image of the graphical user interface; FIG. 7 is a front view of a display screen or portion thereof showing a seventh image of the graphical user interface; FIG. 8 is a front view of a display screen or portion thereof showing an eighth image of the graphical user interface; FIG. 9 is a front view of a display screen or portion thereof showing a ninth image of the graphical user interface; FIG. 10 is a front view of a display screen or portion thereof showing a tenth image of the graphical user interface; FIG. 11 is a front view of a display screen or portion thereof showing an eleventh image of the graphical user interface; FIG. 12 is a front view of a display screen or portion thereof showing a twelfth image of the graphical user interface; and, FIG. 13 is a front view of a display screen or portion thereof showing a thirteenth image of the graphical user interface. The appearance of the graphical user interface of the display screen or portion thereof sequentially transitions between the images shown in FIGS. 1 - 13 . The process or period in which the graphical user interface transitions forms no part of the claimed design. The broken line showing of a display screen with graphical user interface is included to illustrate portions of the article and forms no part of the claimed design.