X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=ocaml%2Fproblems.ml;h=cd57451a70230816031c6264b75c7c16ab9f3dfe;hb=f7ba4d1225ca4fb09750f3d23b197b8372f1350b;hp=48b20ad258e32259b4c81c5e9a91e4e2089a0e67;hpb=87e0182247e9176ec3612eaf3c7f90b81f43b6f5;p=fireball-separation.git

diff --git a/ocaml/problems.ml b/ocaml/problems.ml
index 48b20ad..cd57451 100644
--- a/ocaml/problems.ml
+++ b/ocaml/problems.ml
@@ -1,107 +1,37 @@
 open Lambda4;;
-let solve_many = List.iter solve;;
+open Util;;
 
-(* p-series problems *)
-let f x = problem_of None [] x in
-solve_many (List.map f [
- (* 2 *) [ "x y"; "x z" ; "x (y z)"];
- (* 4 *) [ "x y"; "x (a. a x)" ; "y (y z)" ];
- (* 5 *) ["a (x. x a) b"; "b (x. x b) a"];
- (* 6 *) ["a (x. x a) b"; "b (x. x b) (c a)"];
- (* 7 *) ["a (x. (x a) (a x x a) (x x) )"];
- (* 8 *) ["x x (x x)"];
- (* 9 *) ["x x (x x x) (x x (x x)) (x x (x x x)) x x"];
- (* 10 *) ["x (y (x a b c))"];
- (* 11 *) ["x x"; "x (y.y)"];
- (* 12 *) ["x x (x x)"; "x x (x (y.y))"];
- (* 13 *) ["x x (x x (x x x x x (x x)))"];
- (* 14 *) ["a (a a (a (a a)) (a (a a)))"];
- (* 15 *) ["a (a (a a)) (a a (a a) (a (a (a a))) (a (a a)) (a a (a a) (a (a (a a))) (a (a a)))) (a a (a a) (a (a (a a))) (a (a a)))"];
- (* 16 *) ["a (a a) (a a (a (a a)) (a (a a)) (a a (a (a a)) a))"];
- (* 17 *) ["b a"; "b (c.a)"];
- (* 18 *) ["a (a a) (a a a (a (a (a a) a)) (a a a (a (a (a a) a))))" ; "a a" ; "a (a a)"];
- (* 19 *) ["a (a a) (a a a (a (a (a a) a)) a)"];
- (* 20 *) ["a (a b) (b (a b) (a (a b))) (a (a b) (a (a b)) (a (a b)) c) (a (a b) (a (a b)) (b (a b)) c (a a (a (a b) (a (a b)) b)) (a (a b) (a (a b)) (b (a b)) (a a) (a c (b (a b)))))"];
- (* 21 *)
-  ["(((y z) (y z)) ((z (y z)) ((y z) (z z))))";
-  "(((z z) x) (y z))";
-  "((z (y z)) ((y z) (z z)))"];
- (* 22 *)
-  ["((z y) ((((y (z y)) x) (y (z y))) ((y (z y)) (z z))))";
-  "((z y) (((((y (z y)) x) (y (z y))) ((y (z y)) (z z))) (((((y (z y)) x) (y (z y))) ((y (z y)) (z z))) ((x y) (z z)))))";
-  "(y ((((y (z y)) x) (y (z y))) ((y (z y)) (z z))))"];
- (* 23 *) (* diverging tests *) (* test p23 leads to test p24 *)
-  ["z z z"; "z (z z) (x. x)"];
- (* 24 *)
-  (* because of the last term, the magic number is 1 and we diverge;
-     but setting the magic number to 0 allows to solve the problem;
-     thus our strategy is incomplete *)
-  ["b b"; "b f"; "f b"; "a (x.x)"];
- (* 25 *)
-  (* because of the last term, the magic number is 1 and we diverge;
-     but setting the magic number to 0 allows to solve the problem;
-     thus our strategy is incomplete *)
-  ["b b"; "b f"; "f b"; "f (x.x)"];
- (* 26 *)
-  (* BUG:
-     0 (n (d (o.n) ...)))
-     After instantiating n, the magic number (for d) should be 2, not 1! *)
-  ["(((x y) (z. (y. (y. z)))) (z. y))";
-  "(((x y) x) (y y))"];
- (* 27 *)
-  ["(((((((z y) (z (z y))) (z (z y))) ((z y) (((z y) (z (z y))) ((z y) x)))) (((((z y) (z (z y))) (z (z y))) x) y)) (((((z y) (z (z y))) (z (z y))) ((z y) (((z y) (z (z y))) ((z y) x)))) (((((z y) (z (z y))) (z (z y))) x) y))) ((((((z y) (z (z y))) (z (z y))) ((z y) (((z y) (z (z y))) ((z y) x)))) (((((z y) (z (z y))) (z (z y))) x) y)) (((((z y) (z (z y))) (z (z y))) ((z y) (((z y) (z (z y))) ((z y) x)))) (((((z y) (z (z y))) (z (z y))) x) y))))";
-  "((((((z y) (z (z y))) (z (z y))) ((z y) (((z y) (z (z y))) ((z y) x)))) (((((z y) (z (z y))) (z (z y))) x) y)) (((((z y) (z (z y))) (z (z y))) ((z y) (((z y) (z (z y))) ((z y) x)))) (((((z y) (z (z y))) (z (z y))) x) y)))";
-  "(((((z y) (z (z y))) (z (z y))) ((z y) (((z y) (z (z y))) ((z y) x)))) (((((z y) (z (z y))) (z (z y))) x) y))"];
- (* 28 *)
-  ["((((z (x. (z. (x. x)))) (z x)) x) (z (x. (z. (x. x)))))";
-   "(((z (x. (z. (x. x)))) (z x)) ((z x) (x. (z. (x. x)))))" ];
- (* 29 *)
-  ["((((((x x) (x x)) (z. (y x))) (z. ((x x) y))) y) ((x x) y))";
-  "(((((x x) (x x)) (z. (y x))) (z. ((x x) y))) y)"];
- (* 30 *)
-  ["((b c) (b. (z a)))";
-  "((v (a. (z v))) ((y (b c)) ((z a) (v y))))";
-  "((v (v. c)) z)";
-  "((v y) (v (a. (z v))))";
-  "((y (b c)) ((z a) (v y)))"];
- (* 31 *)
-  [" (((((((v (((a v) w) (((a v) w) v))) (w. c)) (b (a v))) c) (z. a)) (x. (w. (w. c)))) (((a (y c)) ((y c) ((a v) (w (z. a))))) (w. c)))";
-  "((((((v (((a v) w) (((a v) w) v))) (w. c)) (b (a v))) c) (z. a)) (x. (w. (w. c))))";
-  "(((((b (a v)) (a. (y c))) z) (w. w)) ((a c) c))";
-  "(((((v (((a v) w) (((a v) w) v))) (w. c)) (b (a v))) c) (z. a))";
-  "((((a (y c)) ((y c) ((a v) (w (z. a))))) (w. c)) (x. w))"];
- (* 32 *)
-  ["(((((a y) v) (z a)) (z (((z a) (z a)) (w. v)))) (y. (a y)))";
-  "(((((a y) v) (z a)) (z (((z a) (z a)) (w. v)))) a)";
-  "(((((z a) (z a)) b) (v. (v. (z a)))) (v. ((a y) v)))";
-  "((((a y) v) (z a)) (z (((z a) (z a)) (w. v))))";
-  "((((w (a. (z. ((z a) (z a))))) (v. ((a y) v))) (((z a) (z a)) b)) (w. (((z a) (z a)) (c. (c ((z a) (z a)))))))"
-  ];
- (* 33 *)
-  (* Shows an error when the strategy that minimizes special_k is NOT used *)
-  [ "((((((v (y. v)) (w. (c. y))) ((((a (c. y)) (v w)) ((b (z (a (c. y)))) (b (z (a (c. y)))))) ((a (c. y)) b))) (((y (y (v w))) z) ((((a (c. y)) (v w)) ((b (z (a (c. y)))) (b (z (a (c. y)))))) ((a (c. y)) b)))) (b c)) (((v w) (z (a (c. y)))) ((y b) (b (z (a (c. y)))))))";
-  "((((((a (c. y)) (v w)) ((b (z (a (c. y)))) (b (z (a (c. y)))))) ((a (c. y)) b)) (c. y)) (c. y))";
-  "(((((a (c. y)) (v w)) ((b (z (a (c. y)))) (b (z (a (c. y)))))) ((a (c. y)) b)) (c. y))";
-  "(((((a (c. y)) (v w)) ((b (z (a (c. y)))) (b (z (a (c. y)))))) (b (z (a (c. y))))) ((c b) (b. (b w))))";
-  (* "(((((a (c. y)) b) v) (z (a (c. y)))) (a. (b (z (a (c. y))))))" *) ];
- (* 34 *)
-  [ "b c (b c) (c (d (j. e))) (b c (b c) (j.c f)) (b f (j. k. d)) (b (j. k. l. b c (b c)) (b g)) a";
-  "d (j. e) e (j. c f) (j. c j) b a";
-  "d (j. e) e (j. c f) b (b c (b c) (j. c f)) a";
-  "d (j. e) e (j. c f) b (b c (b c) (j. c f) (g b)) a";
-  "d (j. e) e (j. c f) b (j. k. j (l. e) e (l. k f) b) a";];
- (* 35 *)
-  [ "(((((((((b z) v) (a ((v (y y)) (v (y y))))) (y (v (y y)))) ((w ((a b) z)) (a ((v (y y)) (v (y y)))))) (z ((y (v (y y))) b))) (((y (v (y y))) ((y (v (y y))) x)) ((((c (a b)) (y y)) ((y (v (y y))) b)) (((c (a b)) (y y)) ((y (v (y y))) b))))) (z (z b))) ((y y) (((b z) v) (a ((v (y y)) (v (y y)))))))";
-  "((((((((a b) z) w) (((b z) v) (a ((v (y y)) (v (y y)))))) ((y y) ((y (v (y y))) b))) ((((((c (a b)) (y y)) ((y (v (y y))) b)) (((c (a b)) (y y)) ((y (v (y y))) b))) (((((c (a b)) (y y)) (y (v (y y)))) (z w)) ((w (((v (y y)) (v (y y))) a)) (w (z ((y (v (y y))) b)))))) (z w))) (((((((b z) v) (a ((v (y y)) (v (y y))))) (y (v (y y)))) ((w ((a b) z)) (a ((v (y y)) (v (y y)))))) (z ((y (v (y y))) b))) (c (a b)))) (((((b z) (c b)) (c ((v (y y)) (v (y y))))) (((((c (a b)) (y y)) ((y (v (y y))) b)) (((c (a b)) (y y)) ((y (v (y y))) b))) ((c b) (z (z b))))) (((((((b z) v) (a ((v (y y)) (v (y y))))) (y (v (y y)))) (b (((v (y y)) (v (y y))) ((y y) (z (z b)))))) (((((w ((a b) z)) (a ((v (y y)) (v (y y))))) (((v (y y)) (v (y y))) a)) (((((b z) v) (a ((v (y y)) (v (y y))))) (y (v (y y)))) (b (((v (y y)) (v (y y))) ((y y) (z (z b))))))) (b z))) ((x ((c b) (c b))) (((((b z) v) (a ((v (y y)) (v (y y))))) (y (v (y y)))) ((w ((a b) z)) (a ((v (y y)) (v (y y))))))))))";
-  "((((((((b z) v) (a ((v (y y)) (v (y y))))) (y (v (y y)))) ((w ((a b) z)) (a ((v (y y)) (v (y y)))))) (z ((y (v (y y))) b))) (((y (v (y y))) ((y (v (y y))) x)) ((((c (a b)) (y y)) ((y (v (y y))) b)) (((c (a b)) (y y)) ((y (v (y y))) b))))) (v (y y)))"];
- (* 36 *)
-  [ "(((((((y a) (((z v) (y a)) (b a))) ((b a) (b a))) (((y c) (x a)) (v (((y a) (((z v) (y a)) (b a))) z)))) ((b a) (b a))) ((a c) (b (((y a) (((z v) (y a)) (b a))) (z a))))) ((((((b (((y a) (((z v) (y a)) (b a))) z)) (c ((y (x a)) ((z v) (y a))))) (v (((y a) (((z v) (y a)) (b a))) z))) (((((y a) (((z v) (y a)) (b a))) z) (((z v) (y a)) (c y))) ((x a) (((y a) (((z v) (y a)) (b a))) z)))) ((c ((y (x a)) ((z v) (y a)))) (b (((y a) (((z v) (y a)) (b a))) z)))) ((((b (z a)) (y a)) (y c)) (a (((((y a) (((z v) (y a)) (b a))) ((b a) (b a))) (x a)) ((((y a) (((z v) (y a)) (b a))) z) (((z v) (y a)) (c y))))))))";
-  "(((((((z v) (y a)) (b a)) w) b) (((b a) ((((z v) (y a)) (b a)) w)) ((((z v) (y a)) (b a)) w))) (((b a) ((((y a) (((z v) (y a)) (b a))) ((((y a) (((z v) (y a)) (b a))) ((b a) (b a))) (x a))) w)) (((c y) a) v)))";
-  "(((((((z v) (y a)) (b a)) w) b) (a (((((y a) (((z v) (y a)) (b a))) ((b a) (b a))) (x a)) ((((y a) (((z v) (y a)) (b a))) z) (((z v) (y a)) (c y)))))) ((((y a) (((z v) (y a)) (b a))) ((((y a) (((z v) (y a)) (b a))) ((b a) (b a))) (x a))) x))"];
- (* 37 *) (* issue with eta-equality of terms in ps *)
-  ["x (a y) z"; "x (a z. y z) w"; "a c"];
+let assert_separable x =
+ match solve x with
+ | `Separable _ -> ()
+ | `Unseparable s ->
+   failwith ("assert_separable: unseparable because: " ^ s ^ ".")
+;;
+
+let assert_unseparable x =
+ match solve x with
+ | `Unseparable _ -> ()
+ | `Separable _ ->
+   failwith ("assert_unseparable: separable.")
+;;
+
+let assert_depends x =
+ let c = String.sub (Lambda4.label_of_problem x) 0 1 in
+ if c = "!" then assert_separable x
+  else if c = "?" then assert_unseparable x
+   else (solve x; ())
+;;
 
-]);;
+let main () =
+((* <main> *)
+
+let solve_many = List.iter assert_separable in
+
+(* TODO *)
+(* div under a lambda in conv *)
+(* assert_unseparable (problem_of (Some"`y y") ["x (_. y y)"] []);; *)
+
+List.iter (assert_separable ++ Lambda4.tmp) (Parser.from_file "problems/p");
 
 (* q-series problems *)
 
@@ -109,37 +39,31 @@ let q1 () = problem_of
  None
  ["a d e"]
  ["a b"; "a c"]
- ;;
+ in
 
 let q2 () = problem_of
  None
  ["a d e"]
  ["a b" ]
- ;;
-
-let q3 () = problem_of
- (Some "x")
- ["a d e f"]
- ["a b" ]
- ;;
+ in
 
 let q4 () = problem_of
  None
  ["f (x.a b c d)"]
  ["a b" ]
- ;;
+ in
 
 let q5 () = problem_of
- (Some"x")
- ["(y. x)"]
+ (Some"x x")
  ["x"]
- ;;
+ ["x"]
+ in
 
 let q6 () = problem_of
- (Some"x")
+ (Some"x x")
  ["(y. x z)"]
  ["y"]
- ;;
+ in
 
 let q7 () = problem_of
  (Some "(b (c d (e f f k.(g e))) f)")
@@ -149,23 +73,23 @@ let q7 () = problem_of
  ["(f d (e f) k.e k.l.(c d) (b (g e) k.h) (i b k.l.m.e b) a)";
   "(f d (e f) k.e k.l.(c d) (b (g e) k.h) (d k.e) (f d (e f) k.e) a)";
   "(g (e f) (g e h) (f d (e f) k.e) k.(c d l.(c d)) (g e h) (g f (e f f (e f f k.(g e))) (g (e f)) (b (c d (e f f k.(g e))) (b (g (e f)) (e f)) (b (g (e f)) k.l.e))) a)"]
- ;;
+ in
 
 (**********************)
 
 let q8 () = problem_of
  (Some"x a")
  ["y (x b c)"] ["j"]
-;;
+in
 
 let q9 () = problem_of
  (Some"x a")
  ["y x"] ["a (y a b b b)"]
-;;
+in
 
 let q11 () = problem_of
  (Some "x y")
- ["a (x z)"] [] ;;
+ ["a (x z)"] [] in
 
 let q10 () = problem_of
  (Some "b (k. c) d (e (f g) (k. g)) (k. l. c) (k. l. b (m. c)) (k. l. c) (b (k. c) (k. l. b (m. c)) (k. c f)
@@ -182,17 +106,17 @@ let q10 () = problem_of
 "b (k. c) d (e (f g) (k. g)) (k. l. c) (k. l. b (m. c)) (k. l. m. n. o. p. o) (e (f g) (k. g) (c f) (k. i) f)";
 "b (k. c) d (e (f g) (k. g)) (k. l. c) (k. l. b (m. c)) (k. l. c) (k. b)";
 "e (f g) (k. g) (c f) (k. e) (k. b (l. c)) (c f (k. b (l. c)) (k. l. b (m. k))) (k. b (l. k)) (e (f g) (k. g) (c f) (c f (k. b (l. c)) (k. e)))";
-] ;;
+] in
 
 let m1 () = problem_of None []
  ["y z"; "x z"; "x (a k) u"; "x (a r)"; "x (a k) v"]
 
-;;
+in
 
 let m2 () = problem_of None []
  ["y z"; "x z"; "x (a k) u"; "x (a r)"; "x (a k) v"]
 
-;;
+in
 
 
 let n1 () = problem_of (Some"b (c b) (k. l. c b d) (c e) (k. l. m. f) (g (k. c e) (b (c b) (k. l. c b d) (c e) b)) (f c (h (k. c c g))) (g (k. c e) (k. i) f e (g (k. c e) (k. i) (c b) (c (c e)) (k. l. c b d)) (k. e c (k (l. f))) (g (k. c e) (k. i) e)) (g (k. c e) (k. i) (c b) (f c) b)")
@@ -208,7 +132,7 @@ let n1 () = problem_of (Some"b (c b) (k. l. c b d) (c e) (k. l. m. f) (g (k. c e
 "d h (b (c b) (k. l. c b d) (c e)) (k. g (l. c e) (l. i) (c b) (k c) b) d b (b (c b) (k. l. c b d) (c e) b (g (k. c e) (k. i) (c b)) (k. c)) a";
 "g (k. c e) (k. d d) (k. k k) (e c (d d (d c)) i) (k. g (l. k e) (l. d d)) (g i (b (c b) (k. l. c b d) (e c (d d (d c)) (k. c e (f c)) (k. k (c k) (l. m. c k d) (c e) k (g (l. c e) (l. i) (c k)) (l. c))))) (c b) a";
 "g (k. c e) (k. i) f e (g (k. c e) (k. i) (c b) (c (c e)) (k. l. c b d)) (k. e c (k (l. f))) (g (k. c e) (k. i) e) a"
-] ;;
+] in
 
 let n2 () = problem_of
 (Some"b b (c d) (k. d e) (k. k) (k. l. b)")
@@ -225,7 +149,7 @@ let n2 () = problem_of
 "f (g (k. e)) (k. b b) (c d (k. k d) (k. l. l) c) (k. c d) (k. c) (k. l. m. b b) a";
 "f (g (k. e)) (k. b b) (c d (k. k d) (k. l. l) c) (k. c d) (b (b b) (d (g(d e) (g (k. e)) h) (b b (c d) (k. l. b)) (b (k. h))) (e (b b (c d))) (d (g (d e) (g (k. e)) h) (b b (c d) (k. l. b)) (g (k. e) (k. k)))) (k. d e (l. d e) f) a";
 ]
-;;
+in
 
 let n3 () = problem_of
 (Some"b (k. c (c d e f)) (k. l. f (m. f) (m. f) (m. n. n))")
@@ -241,9 +165,49 @@ let n3 () = problem_of
 "e e (k. k d e (l. l)) (g e) (c d e b (e e (c (c d e f)))) (d (e e (k. k d e (l. l))) (k. k i)) (k. i (l. c (c d e f))) (k. h) a";
 "f (k. f) (k. f) (f h) (f h (c d e (f i))) (k. b) (f i (c d e)) (k. h) a";
 "g e f (f (k. f) (f (k. f) (k. l. f)) (c d e b)) (f (k. f) (k. f) (k. l. l) b) (f (k. h)) (c d e (f i) (e e) (g e) (k. l. e)) (f (k. f) f) (f (k. f) (k. f) (k. l. l) (c (k. i (l. c (c d e f))))) a";
-] ;;
-
-(* main ([p34]);; *)
+] in
+
+solve_many [
+ problem_of
+ (* DISPLAY PROBLEM (main) - measure=965
+    Discriminating sets (deltas):
+    0 <> 1 <> 2 <> 3 <> 4
+ *)(* DIVERGENT  *)
+      (Some"b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (k. b c d (l. c (l k)) (b c (l. e e) (b c d (l. e l) (e e (b (l. m. b)) d (l. d))) (l. c)))")
+   (* CONVERGENT *) [
+   (* _ *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (e e (b (k. l. b)) (k. e k)) (k. e e) (k. g (l. g (m. b c)) (l. i (f g)))";
+   (* _ *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (d b (k. b)) (k. d k (k (l. m. k)) (c (e h))) (b c (k. c (e h)))";
+   (* _ *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (e e (b (k. l. b)) (k. e k)) (k. e e)";
+   (* _ *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (d b (k. b)) (k. d k (k (l. m. k)) (c (e h)))";
+   (* _ *) "b (k. l. b) (e f) (b c d) (e e (b (k. l. b)) d) (e (k. l. b c) (k. l. b k) (b c)) d (e e (e e) (d (k. f)) (b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))))) (e e (b (k. l. b)) (b (k. l. b) (e f) (b c
+ d)) (e e (b (k. l. b)) d (k. d) (b (k. l. b))) (k. b c k (l. e l) (e e (b (l. m. b)) k (l. k)) (f g (c (e h))) (k b (l. b) (f g (e f))) (c (e h))) (k. i (f g) (l. l)))";
+ ] (* NUMERIC    *) [
+   (* 0 *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (d b (k. b)) (k. l. c (l k)) a";
+   (* 1 *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (e e (b (k. l. b)) (k. e k)) a";
+   (* 2 *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (e e (b (k. l. b)) (k. e k)) (k. l. c (k h)) a";
+   (* 3 *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (e e (b (k. l. b)) (k. e k)) (k. l. c (k h)) (d b (b c d (k. c (k h))) (b c d (k. e k) (b c))) a";
+   (* 4 *) "b c d (k. e k) (e e (b (k. l. b)) d (k. d)) (f g (c (e h))) (d b (k. b) (f g (e f))) (c (e h)) (e e (b (k. l. b)) (k. e k)) (k. b k d (l. e l) (e e (b (l. m. b)) d (l. d)) (f g (k (e h)))) a";
+ ];
+ problem_of
+ (* DISPLAY PROBLEM (main) - measure=561
+    Discriminating sets (deltas):
+    0 <> 1 <> 2 <> 3 <> 4
+ *)(* DIVERGENT  *)
+      (Some"b (c b) (k. d) (e f (k. e) (k. b) (f d)) (e f (k. g k) d) (k. c k (c k g))")
+   (* CONVERGENT *) [
+   (* _ *) "c (k. l. l b k) (k. l. d) (e f (k. k) (g e)) (k. l. m. n. n b m) (k. b (b (k e))) (k. g) (e f (k. k (g e) h) b (e (k. g) (h c (g c) f)))";
+   (* _ *) "e f (k. k) (k. l. c b) (k. l. l (k b) g) (k. e f (l. l)) (h c (c (k. l. l b k) (k. l. d) (e f (k. k) (g e))) (k. g e (g e))) (k. g (l. e f g) (l. h c) (g (l. e f g) (l. h c)))";
+   (* _ *) "e f (k. k (g e) h) (g (k. e f g) (c (c b g) (k. l. l b g))) (k. k (g e) h) (k. h) (b (b (g e)) (k. c (l. m. m b l))) (k. l. g l (g l) (m. c b))";
+   (* _ *) "c (k. l. l b k) (k. l. d) (e f (k. k) (g e)) (k. l. m. n. n b m) (k. b (b (k e))) (k. g)";
+   (* _ *) "e f (k. k) (g e) (e f (k. e)) (e f (k. e)) (h c (b (g e) h (k. c (l. m. m k l))))";
+ ] (* NUMERIC    *) [
+   (* 0 *) "c (k. l. l b k) (k. l. d) (e f (k. k) (g e)) (k. l. m. n. n b m) (k. b (b (k e))) (k. i) a";
+   (* 1 *) "e f (k. k (g e) h) (g (k. e f g) (c (c b g) (k. l. l b g))) (k. k (g e) h) (k. h) (b (b (g e)) (k. c (l. m. m b l))) (h (c b) g i) a";
+   (* 2 *) "e f (k. k) (g e) (e f (k. e)) (h (k. g e (g e)) (h (k. g e (g e)))) (k. d) a";
+   (* 3 *) "e f (k. k) (g e) (e f (k. e)) (h (k. g e (g e)) (h (k. g e (g e)))) (k. d) (k. l. m. c k) a";
+   (* 4 *) "g (k. e f g) (k. h c) (b (g e) h (k. c (l. m. m k l))) (k. c b g) (k. e f (l. l) (g e) (e f (l. e))) f a";
+ ]
+];
 
 solve_many (List.map ((|>) ()) ([
  q1 ; q2; (*q3;*) q4 ; q5 ; q6 ;
@@ -258,4 +222,13 @@ solve_many (List.map ((|>) ()) ([
  n1 ;
  n2 ;
  n3
-]));;
+]));
+
+(* </main> *));;
+
+if Array.length Sys.argv = 1
+ then main ()
+else Array.iteri (fun i filename -> if i > 0 then
+ List.iter (assert_depends ++ Lambda4.tmp) (Parser.from_file filename)
+ ) Sys.argv
+;;