History of the Peloponnesian War

But when the Athenians had sailed back to Naupactus, the Corinthians at once set up a trophy in token of victory, because a larger number of the enemy's ships had been disabled by them, and they considered that they had not been beaten for the very reason that made the other side consider themselves not victorious. For the Corinthians regarded themselves as conquerors if they were not decisively beaten, and the Athenians considered themselves defeated if they were not decisively victorious.

When, however, the Peloponnesians had sailed away and their army on land had dispersed, the Athenians also set up a trophy in token of victory, in Achaea at a distance of about twenty stadia from Erineus, where the Corinthians were formerly stationed. And so the sea-fight ended.