Conventional indirectness (indirect speech acts) can be explained as compromise solutions of a conflict between Constitutive (Clarity) and Normative (Politeness) Rules of Interaction. The notion of conventional indirectness is extended here beyond simple speech acts to complex speech acts or speech act schemata. The Disarm Schema and its sub-type the Double-Bind Schema are introduced and the inferences of the latter are described and discussed as to their theoretical status. The analysis is then extended to a statement made by President Reagan at a news conference on Nicaragua in 1983. This statement is in the form of a Yes-but-Schema that bears partial resemblance to the Double-Bind Schema. It is shown that the construct of `Inter-Schema Inference Transfer' is needed to account for the contradictory illocutionary and perlocutionary forces the utterance has in a context where interlocutors of conflicting allegiances are addressed.