Enemyship

Near-synonym: enmity

Source: wiktionary

Moreover, the cultural grounding of relationship is evident in features of research that do consider personal enemyship, as well as in the relative absence of research about personal enemyship.

Source: wiktionary

Now, if you may remember, until this point both girls had not been truly friends, not in any lasting way that is. It was only that they had just recently, and painfully, forsaken enemyship, and were only just beginning the first processes of friendhood, which was now coming into fruition; And it was here, at this memory, that I believe both girls would recount as their true beginning.

Source: wiktionary

It hath lately been asserted in parliament, that the colonies have no relation to each other but through the parent country, i.e., that Pennsylvania and the Jerseys, and so on for the rest, are sister colonies by the way of England; this is certainly a very roundabout way of proving relation ship, but it is the nearest and only true way of proving enemyship, if I may so call it. France and Spain never were, nor perhaps ever will be our enemies as Americans, but as our being the subjects of Great Britain.

Source: wiktionary