X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=ocaml%2Fproblems.ml;h=bd3e880092291adc104a140a3604e0a5917d0e6a;hb=db562ac015ffc6c1a08c226b4eef7790b21661cd;hp=8a1915c76769665e728098ae4ab636c8d4c9af4b;hpb=11c318fb43c265aade98c4240421967432052ca3;p=fireball-separation.git

diff --git a/ocaml/problems.ml b/ocaml/problems.ml
index 8a1915c..bd3e880 100644
--- a/ocaml/problems.ml
+++ b/ocaml/problems.ml
@@ -1,237 +1,75 @@
 open Lambda4;;
-let magic strings = problem_of None [] strings;;
-let solve_many = List.iter solve;;
-
-let p2 = magic [ "x y"; "x z" ; "x (y z)"]
-
-let p4 = magic
-  [ "x y"; "x (a. a x)" ; "y (y z)" ]
-
-let p5 = magic
-  ["a (x. x a) b"; "b (x. x b) a"]
-;;
-
-let p6 = magic
-  ["a (x. x a) b"; "b (x. x b) (c a)"]
-
-;;
-
-let p7 = magic
-  ["a (x. (x a)(a x x a)(x x) )"]
-
-;;
-
-let p8 = magic
-  ["x x (x x)"]
-
-;;
-
-let p9 = magic
-  ["x x (x x x) (x x (x x)) (x x (x x x)) x x"]
+open Util;;
 
+let assert_separable x =
+ match solve x with
+ | _, `Separable _ -> ()
+ | _, `Unseparable s ->
+   failwith ("assert_separable: unseparable because: " ^ s ^ ".")
 ;;
 
-let p10 = magic
-  ["x (y (x a b c))"]
-
+let assert_unseparable x =
+ match solve x with
+ | _, `Unseparable _ -> ()
+ | _, `Separable _ ->
+   failwith ("assert_unseparable: separable.")
 ;;
 
-let p11 = magic
-  ["x x"; "x (y.y)"]
-
+let assert_depends x =
+ let c = String.sub (Lambda4.label_of_problem (fst x)) 0 1 in
+ if c = "!" then assert_separable x
+  else if c = "?" then assert_unseparable x
+   else (solve x; ())
 ;;
 
-let p12 = magic
-  ["x x (x x)"; "x x (x (y.y))"]
+let main () =
+((* <main> *)
 
-;;
+let solve_many = List.iter assert_separable in
 
-let p13 = magic
-  ["x x (x x (x x x x x (x x)))"]
+(* TODO *)
+(* div under a lambda in conv *)
+(* assert_unseparable (problem_of (Some"`y y") ["x (_. y y)"] []);; *)
 
-;;
-
-let p14 = magic
-  ["a (a a (a (a a)) (a (a a)))"]
+List.iter (assert_separable ++ Lambda4.tmp) (Parser.from_file "problems/p");
 
-;;
-
-let p15 = magic
-  ["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)))"]
-
-;;
-
-let p16 = magic
-  ["a (a a) (a a (a (a a)) (a (a a)) (a a (a (a a)) a))"]
-
-;;
-
-let p17 = magic
-  ["b a"; "b (c.a)"]
-
-;;
-
-let p18 = magic
-  ["a (a a) (a a a (a (a (a a) a)) (a a a (a (a (a a) a))))" ; "a a" ; "a (a a)"]
-
-;;
-
-let p19 = magic
-  ["a (a a) (a a a (a (a (a a) a)) a)"]
-
-;;
-
-let p20 = magic
-  ["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)))))"];;
-
-let p21 = magic
-  ["(((y z) (y z)) ((z (y z)) ((y z) (z z))))";
-   "(((z z) x) (y z))";
-   "((z (y z)) ((y z) (z z)))"
-] ;;
-
-let p22 = magic
-["((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))))"] ;;
-
-(* diverging tests *)
-(* test p23 leads to test p24 *)
-let p23 = magic
-["z z z"; "z (z z) (x. x)"] ;;
-
-(* 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 *)
-let p24 = magic
-["b b"; "b f"; "f b"; "a (x.x)"] ;;
-
-(* 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 *)
-let p25 = magic
-["b b"; "b f"; "f b"; "f (x.x)"] ;;
-
-(* BUG:
-   0 (n (d (o.n) ...)))
-   After instantiating n, the magic number (for d) should be 2, not 1! *)
-let p26 = magic
-["(((x y) (z. (y. (y. z)))) (z. y))";
-"(((x y) x) (y y))"] ;;
-
-let p27 = magic
-["(((((((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))"] ;;
-
-let p28 = magic
-["((((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)))))" ] ;;
-
-let p29 = magic
-["((((((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)"] ;;
-
-let p30 = magic
-["((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)))"] ;;
-
-let p31 = magic
-[" (((((((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))"] ;;
-
-let p32 = magic
-["(((((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)))))))"
-] ;;
-
-(* Shows an error when the strategy that minimizes special_k is NOT used *)
-let p33 = magic
-[
-"((((((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))))))" *)
-] ;;
-
-let p34 = magic [
-"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";
-] ;;
-(* 0: (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)
-1: (d j.e e j.(c f) j.(c j) b a)
-2: (d j.e e j.(c f) b (b c (b c) j.(c f)) a)
-3: (d j.e e j.(c f) b (b c (b c) j.(c f) (g b)) a)
-4: (d j.e e j.(c f) b j.k.(j l.e e l.(k f) b) a) *)
-
-let p35 = magic [
-"(((((((((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)))"
-] ;;
-
-let p36 = magic
-[
-"(((((((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))"
-] ;;
-
-(* issue with eta-equality of terms in ps *)
-let p37 = magic
-  ["x (a y) z"; "x (a z. y z) w"; "a c"]
-  ;;
-
-(**********************)
+(* q-series problems *)
 
 let q1 () = problem_of
  None
  ["a d e"]
  ["a b"; "a c"]
- ;;
+ in
 
 let q2 () = problem_of
  None
  ["a d e"]
  ["a b" ]
- ;;
+ in
 
 let q3 () = problem_of
  (Some "x y")
  ["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")
  ["(y. x)"]
  ["x"]
- ;;
+ in
 
 let q6 () = problem_of
  (Some"x w")
  ["(y. x z)"]
  ["y"]
- ;;
+ in
 
 let q7 () = problem_of
  (Some "(b (c d (e f f k.(g e))) f)")
@@ -241,23 +79,23 @@ 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)
@@ -274,17 +112,17 @@ 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)")
@@ -300,7 +138,7 @@ 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)")
@@ -317,7 +155,7 @@ 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))")
@@ -333,28 +171,14 @@ 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";
-] ;;
+] in
 
 (* ************************************************************************** *)
 
-let o1 () = problem_of None [] ["x a b"; "x (_. BOT) c"] ;;
-let o2 () = problem_of None [] ["x (y (_. BOT) a) c"; "x (y a PAC) d"] ;;
-let o3 () = problem_of
- (Some"y (x a1 BOMB c) (x BOMB b1 d)")
- [ "y (x a2 BOMB c) (x BOMB b1 d)";
- "y (x a1 BOMB c) (x BOMB b2 d)";] [] ;;
-let o4 () = problem_of (Some"x BOMB a1 c")
- [ "x y BOMB d"; "x BOMB a2 c" ] [] ;;
-let o5 () = problem_of (Some"BOT") [] [] ;;
-let o6 () = problem_of (Some"x BOMB") ["x y"] [];;
-
-solve_many (List.map ((|>) ()) [
- o1; o2; o3; o4; o5; o6
-]);;
-
-(*should_fail(fun () -> problem_of None ["BOT"] []);;
-should_fail(fun () -> problem_of (Some"x y") ["x BOMB"] []);;
-should_fail(fun () -> problem_of (Some"x y z") ["x BOMB z"; "x y y"] []);;*)
+List.iter (assert_separable ++ Lambda4.tmp) (Parser.from_file "problems/o");
+
+assert_unseparable(problem_of (Some"x y") ["x BOMB"] []);
+assert_unseparable(problem_of (Some"x y z") ["x BOMB z"; "x y y"] []);
 
 solve_many [
  problem_of
@@ -377,7 +201,7 @@ solve_many [
    (* 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
+ problem_of
  (* DISPLAY PROBLEM (main) - measure=561
     Discriminating sets (deltas):
     0 <> 1 <> 2 <> 3 <> 4
@@ -395,21 +219,25 @@ solve_many [
    (* 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";
- ]*)
-];;
-
-(*failwith "OKAy";;*)
-
-solve_many ([
- p2 ; p4 ; p5 ; p6 ; p7 ; p8 ; p9 ; p10 ; p11 ; p12 ; p13 ;
- p14 ; p15 ; p16 ; p17 ; p18 ; p19 ; p20 ; p21 ; p22 ; p23 ;
- p24 ; p25 ; p26 ; p27 ; p28 ; p29 ; p30 ; p31 ; p32 ; p33 ;
- p34 ;
- p35 ;
- p36 ;
- p37 ;
- p24 ; p25 ;
-] @ List.map ((|>) ()) ([
+ ]
+];
+
+(* This fails *)
+(* solve (problem_of
+ (Some"x PAC PAC PAC PAC PAC a")
+ ["x PAC PAC PAC PAC PAC b"]
+ ["y x"; "y z"]
+ (* In general:
+ DIV x (n times PAC) a
+ CON x (n times PAC) b
+ 1 y (m times lambda. x) 0
+ 2 y z 0
+ when x steps on the n+1-th argument,
+ y must apply n+m+1 variables
+ Thus special_k must be >=n+m+1 *)
+);; *)
+
+solve_many (List.map ((|>) ()) ([
  q1 ; q2; q3; q4 ; q5 ; q6 ;
  q7 ;
  q8 ;
@@ -422,4 +250,13 @@ solve_many ([
  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
+;;