Reference for Ketubot 84:15

איתיביה ר"ש פוטר שאינו משלם קנס על פי עצמו טעמא דלא עמד בדין הא עמד בדין דמשלם על פי עצמו קרבן שבועה נמי מיחייב

He raised another objection: R. Shimon exempts him for one does not pay a fine based on one’s own admission. The reason is because he has not been convicted but if he had been convicted, since he does pay even on his own admission, he would be liable to bring a sacrifice for a false oath.

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