In this paper we define a hypothesis finding method which is a combination of residue hypotheses and anti-subsumption. Residue hypotheses have been proposed on the basis of the terminology of the Connection Method, while in this paper we define it in the terminology of resolution. We show that hypothesis finding methods previously proposed on the bases of resolution are embedded into our new method. We also point out that computing residue hypotheses becomes a lot more efficient under the restrictions required by the previous methods to be imposed on hypotheses, but that these methods miss some hypotheses which our method can find. Finally, we show that our method constitutes an extension of Plotkin's relative subsumption.
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