Hint Resolve col_permutation_1 col_permutation_2
col_permutation_3 col_permutation_4 col_permutation_5 : sTarski.
Hint Resolve col_permutation_1 col_permutation_2
col_permutation_3 col_permutation_4 col_permutation_5 : Col.
Ltac Col := eauto with Col.
(** Trivial lemmas for Col. *)

(* Specifications: *)
Lemma col_trivial_1 : forall A B, Col A A B.
Lemma col_trivial_2 : forall A B, Col A B B.
Lemma col_trivial_3 : forall A B, Col A B A.
Hint Resolve col_trivial_1 col_trivial_2 col_trivial_3 : Tarski.
Lemma l4_13 : forall A B C A' B' C',
Col A B C -> Cong_3 A B C A' B' C' -> Col A' B' C'.
Lemma l4_14 :  forall A B C A' B',
Col A B C -> Cong A B A' B' ->
exists C', Cong_3 A B C A' B' C'.