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+(* Check that arguments of impredicative types are not considered
+ subterms even through commutative cuts on functional arguments
+ (example prepared by Bruno) *)
+
+Inductive IMP : Prop :=
+ CIMP : (forall A:Prop, A->A) -> IMP
+| LIMP : (nat->IMP)->IMP.
+
+Definition i0 := (LIMP (fun _ => CIMP (fun _ x => x))).
+
+Definition Paradox : False :=
+ (fix F y o {struct o} : False :=
+ match y with
+ | tt => fun f =>
+ match f 0 with
+ | CIMP h => F y (h _ o)
+ | _ => F y (f 0)
+ end
+ end match o with LIMP f => f | _ => fun _ => o end) tt i0.