Ltac Cong := eauto 3 with cong.

Lemma strong_pasch : forall A B C l p, ~ ColH A B C -> IncidP A p -> IncidP B p -> IncidP C p -> IncidLP l p -> ~ IncidL C l -> cut l A B -> cut l A C /\ ~ cut l B C \/ cut l B C /\ ~ cut l A C.