History of the Peloponnesian War

The Athenians now sailed back to Naupactus, and the Corinthians immediately set up a trophy as victors, because they had disabled a greater number of the enemy's ships. Moreover they held that they had not been worsted, for the very same reason that their opponent held that he had not been victorious; the Corinthians considering that they were conquerors, if not decidedly conquered, and the Athenians thinking themselves vanquished, because not decidedly victorious.

However, when the Peloponnesians sailed off and their land forces had dispersed, the Athenians also set up a trophy as victors in Achaia, about two miles and a quarter from Erineus, the Corinthian station.