The purpose of the affidavit is to affirm the facts stated regarding their non-cohabitation for legal purposes. It is a credibility test.All forms must be submitted in duplicate. AFFIDAVIT OF NON-COHABITATION. I,. , the petitioner in the above-entitled matter, first being duly sworn, say: I have not cohabited with since . Date. Complete the following information, whether filing Motion and Affidavit or Counter Affidavit. The first, and probably simplest, way to establish paternity is through an Acknowledgement of Paternity Affidavit. The purpose of the execution of this affidavit is to affirm the facts alleged herein and for whatever legal purpose it may serve. This form can be used to file an affidavit in support of court papers in the Cuyahoga County Domestic Relations Court. This page will walk you through the process of filling out and filing these forms.