module LA = LexiconAst;;
module PT = CicNotationPt;;
module A = Ast;;
+
+type sort = Prop | Univ;;
+
let floc = HExtlib.dummy_floc;;
+
+let paramod_timeout = ref 600;;
+let depth = ref 10;;
+
let universe = "Univ" ;;
+let prop = "Prop";;
let kw = [
"and","myand"
;;
let rec collect_arities_from_term = function
- | A.Constant name -> [name,0]
- | A.Variable name -> []
+ | A.Constant name -> [name,(0,Univ)]
+ | A.Variable name -> [name,(0,Univ)]
| A.Function (name,l) ->
- (name,List.length l)::List.flatten (List.map collect_arities_from_term l)
+ (name,(List.length l,Univ))::
+ List.flatten (List.map collect_arities_from_term l)
;;
let rec collect_fv_from_term = function
let collect_arities_from_atom a =
let aux = function
- | A.Proposition name -> assert false
- | A.Predicate _ -> assert false
+ | A.Proposition name -> [name,(0,Prop)]
+ | A.Predicate (name,args) ->
+ (name,(List.length args,Prop)) ::
+ (List.flatten (List.map collect_arities_from_term args))
| A.True -> []
| A.False -> []
- | A.Eq (t1,t2) -> collect_arities_from_term t1 @ collect_arities_from_term t2
- | A.NotEq (t1,t2) -> collect_arities_from_term t1 @ collect_arities_from_term t2
+ | A.Eq (t1,t2) ->
+ collect_arities_from_term t1 @ collect_arities_from_term t2
+ | A.NotEq (t1,t2) ->
+ collect_arities_from_term t1 @ collect_arities_from_term t2
in
- aux a
+ HExtlib.list_uniq (List.sort compare (List.flatten (List.map aux a)))
;;
let collect_fv_from_atom a =
let aux = function
- | A.Proposition name -> assert false
- | A.Predicate _ -> assert false
+ | A.Proposition name -> [name]
+ | A.Predicate (name,args) ->
+ name :: List.flatten (List.map collect_fv_from_term args)
| A.True -> []
| A.False -> []
| A.Eq (t1,t2) -> collect_fv_from_term t1 @ collect_fv_from_term t2
| A.NotEq (t1,t2) -> collect_fv_from_term t1 @ collect_fv_from_term t2
in
- HExtlib.list_uniq (List.sort compare (aux a))
+ let rec aux2 = function
+ | [] -> []
+ | hd::tl -> aux hd @ aux2 tl
+ in
+ HExtlib.list_uniq (List.sort compare (aux2 a))
;;
-let collect_fv_from_formulae = function
- | A.Disjunction _ -> assert false
+let rec collect_fv_from_formulae = function
+ | A.Disjunction (a,b) ->
+ collect_fv_from_formulae a @ collect_fv_from_formulae b
| A.NegAtom a
- | A.Atom a -> collect_fv_from_atom a
+ | A.Atom a -> collect_fv_from_atom [a]
;;
let rec convert_term = function
PT.Appl (mk_ident name :: List.map convert_term args)
;;
-let atom_of_formula = function
- | A.Disjunction _ -> assert false
- | A.NegAtom a -> a (* removes the negation *)
- | A.Atom a -> a
+let rec atom_of_formula neg pos = function
+ | A.Disjunction (a,b) ->
+ let neg, pos = atom_of_formula neg pos a in
+ atom_of_formula neg pos b
+ | A.NegAtom a -> a::neg, pos
+ | A.Atom (A.NotEq (a,b)) -> (A.Eq (a,b) :: neg), pos
+ | A.Atom a -> neg, a::pos
+;;
+
+let atom_of_formula f =
+ let neg, pos = atom_of_formula [] [] f in
+ neg @ pos
;;
-let rec mk_arrow component = function
- | 0 -> mk_ident component
+let rec mk_arrow component tail = function
+ | 0 -> begin
+ match tail with
+ | Prop -> mk_ident prop
+ | Univ -> mk_ident universe
+ end
| n ->
PT.Binder
(`Forall,
((mk_ident "_"),Some (mk_ident component)),
- mk_arrow component (n-1))
+ mk_arrow component tail (n-1))
;;
let build_ctx_for_arities univesally arities t =
let binder = if univesally then `Forall else `Exists in
let rec aux = function
| [] -> t
- | (name,nargs)::tl ->
+ | (name,(nargs,sort))::tl ->
PT.Binder
(binder,
- (mk_ident name,Some (mk_arrow universe nargs)),
+ (mk_ident name,Some (mk_arrow universe sort nargs)),
aux tl)
in
aux arities
let convert_atom universally a =
let aux = function
- | A.Proposition _ -> assert false
+ | A.Proposition p -> mk_ident p
| A.Predicate (name,params) ->
- prerr_endline ("Predicate is unsupported: " ^ name);
- assert false
+ PT.Appl ((mk_ident name) :: (List.map convert_term params))
| A.True -> mk_ident "True"
| A.False -> mk_ident "False"
| A.Eq (l,r)
| A.NotEq (l,r) -> (* removes the negation *)
PT.Appl [mk_ident "eq";mk_ident universe;convert_term l;convert_term r]
in
+ let rec aux2 = function
+ | [] -> assert false
+ | [x] -> aux x
+ | he::tl ->
+ if universally then
+ PT.Binder (`Forall, (mk_ident "_", Some (aux he)), aux2 tl)
+ else
+ PT.Appl [mk_ident "And";aux he;aux2 tl]
+ in
+ let arities = collect_arities_from_atom a in
+ let fv = collect_fv_from_atom a in
build_ctx_for_arities universally
- (List.map (fun x -> (x,0)) (collect_fv_from_atom a)) (aux a)
+ (List.filter
+ (function (x,(0,Univ)) -> List.mem x fv | _-> false)
+ arities)
+ (aux2 a)
;;
let collect_arities atom ctx =
- let atoms = atom::(List.map atom_of_formula ctx) in
- HExtlib.list_uniq (List.sort (fun (a,_) (b,_) -> compare a b)
- (List.flatten (List.map collect_arities_from_atom atoms)))
+ let atoms = atom@(List.flatten (List.map atom_of_formula ctx)) in
+ collect_arities_from_atom atoms
+;;
+
+let collect_arities_from_formulae f =
+ let rec collect_arities_from_formulae = function
+ | A.Disjunction (a,b) ->
+ collect_arities_from_formulae a @ collect_arities_from_formulae b
+ | A.NegAtom a
+ | A.Atom a -> collect_arities_from_atom [a]
+ in
+ HExtlib.list_uniq (List.sort compare (collect_arities_from_formulae f))
;;
-let assert_formulae_is_1eq_negated f =
+let is_formulae_1eq_negated f =
let atom = atom_of_formula f in
match atom with
- | A.Eq (l,r) -> failwith "Negated formula is not negated"
- | A.NotEq (l,r) -> ()
- | _ -> failwith "Not a unit equality formula"
+ | [A.NotEq (l,r)] -> true
+ | _ -> false
;;
+let collect_fv_1stord_from_formulae f =
+ let arities = collect_arities_from_formulae f in
+ let fv = collect_fv_from_formulae f in
+ List.map fst
+ (List.filter (function (x,(0,Univ)) -> List.mem x fv | _-> false) arities)
+;;
+
let rec convert_formula fv no_arities context f =
let atom = atom_of_formula f in
let t = convert_atom (fv = []) atom in
;;
let check_if_atom_is_negative = function
- | A.True | A.False | A.Proposition _ | A.Predicate _ -> assert false
+ | A.True -> false
+ | A.False -> true
+ | A.Proposition _ -> false
+ | A.Predicate _ -> false
| A.Eq _ -> false
| A.NotEq _ -> true
;;
-let check_if_formula_is_negative = function
- | A.Disjunction _ -> assert false
+let rec check_if_formula_is_negative = function
+ | A.Disjunction (a,b) ->
+ check_if_formula_is_negative a && check_if_formula_is_negative b
| A.NegAtom a -> not (check_if_atom_is_negative a)
| A.Atom a -> check_if_atom_is_negative a
;;
-let convert_ast statements context = function
+let ng_generate_tactics fv ueq_case context arities =
+ [ GA.Executable(floc,GA.NTactic(floc,
+ [GA.NIntro (floc,"Univ") ; GA.NDot(floc)])) ]
+ @
+ (HExtlib.list_mapi
+ (fun (name,_) _->
+ GA.Executable(floc,GA.NTactic(floc,
+ [GA.NIntro (floc,(try List.assoc name kw with Not_found -> name));
+ GA.NDot(floc)])))
+ arities)
+ @
+ (HExtlib.list_mapi
+ (fun _ i->
+ GA.Executable(floc,GA.NTactic(floc,
+ [GA.NIntro (floc,"H"^string_of_int i);GA.NDot(floc)])))
+ context)
+ @
+(if fv <> [] then
+ (List.flatten
+ (List.map
+ (fun _ ->
+ [GA.Executable(floc,GA.NTactic(floc,
+ [GA.NApply (floc,
+ PT.Appl
+ [mk_ident "ex_intro";PT.Implicit `JustOne;PT.Implicit `JustOne;
+ PT.Implicit `JustOne;PT.Implicit `JustOne]);GA.NBranch floc]));
+ GA.Executable(floc,GA.NTactic(floc,
+ [GA.NPos (floc,[2])]))])
+ fv))
+ else [])@
+ [GA.Executable(floc,GA.NTactic(floc, [
+ if (*ueq_case*) true then
+ GA.NAuto (floc,(Some
+ HExtlib.list_mapi
+ (fun _ i ->
+ mk_ident ("H" ^ string_of_int i))
+ context
+ ,[]))
+ else
+ GA.NAuto (floc,(None,[
+ "depth",string_of_int 5;
+ "width",string_of_int 5;
+ "size",string_of_int 20;
+ "timeout",string_of_int 10;
+ ]))
+ ;
+ GA.NSemicolon(floc)]));
+(*
+ GA.Executable(floc,GA.NTactic(floc, Some (GA.Try(floc,
+ GA.Assumption floc)), GA.Dot(floc)))
+*)
+ ]@
+(if fv <> [] then
+ (List.flatten
+ (List.map
+ (fun _ ->
+ [GA.Executable(floc,GA.NTactic(floc, [GA.NShift floc;
+ GA.NSkip floc; GA.NMerge floc]))])
+ fv))
+ else [])@
+ [GA.Executable(floc,GA.NTactic(floc,[GA.NTry(floc, GA.NAssumption(floc));
+ GA.NSemicolon(floc)]))]@
+ [GA.Executable(floc,GA.NCommand(floc, GA.NQed(floc)))]
+;;
+
+let generate_tactics fv ueq_case =
+ [GA.Executable(floc,GA.Tactic(floc, Some
+ (GA.Intros (floc,(None,[]))),GA.Dot(floc)))] @
+(if fv <> [] then
+ (List.flatten
+ (List.map
+ (fun _ ->
+ [GA.Executable(floc,GA.Tactic(floc, Some
+ (GA.Exists floc),GA.Branch floc));
+ GA.Executable(floc,GA.Tactic(floc, None,
+ (GA.Pos (floc,[2]))))])
+ fv))
+ else [])@
+ [GA.Executable(floc,GA.Tactic(floc, Some (
+ if true (*ueq_case*) then
+ GA.AutoBatch (floc,(None,["paramodulation","";
+ "timeout",string_of_int !paramod_timeout]))
+ else
+ GA.AutoBatch (floc,(None,[
+ "depth",string_of_int 5;
+ "width",string_of_int 5;
+ "size",string_of_int 20;
+ "timeout",string_of_int 10;
+ ]))
+ ),
+ GA.Semicolon(floc)));
+ GA.Executable(floc,GA.Tactic(floc, Some (GA.Try(floc,
+ GA.Assumption floc)), GA.Dot(floc)))
+ ]@
+(if fv <> [] then
+ (List.flatten
+ (List.map
+ (fun _ ->
+ [GA.Executable(floc,GA.Tactic(floc, None, GA.Shift floc));
+ GA.Executable(floc,GA.NonPunctuationTactical(floc, GA.Skip floc,
+ (GA.Merge floc)))])
+ fv))
+ else [])@
+ [GA.Executable(floc,GA.Command(floc, GA.Print(floc,"proofterm")));
+ GA.Executable(floc,GA.Command(floc, GA.Qed(floc)))]
+;;
+
+let convert_ast ng statements context = function
| A.Comment s ->
let s = String.sub s 1 (String.length s - 1) in
let s =
| A.Negated_conjecture when not (check_if_formula_is_negative f) ->
statements, f::context
| A.Negated_conjecture ->
- assert_formulae_is_1eq_negated f;
- let fv = collect_fv_from_formulae f in
-(*
- if fv <> [] then
- prerr_endline ("FREE VARIABLES: " ^ String.concat "," fv);
-*)
+ let ueq_case = is_formulae_1eq_negated f in
+ let fv = collect_fv_1stord_from_formulae f in
+ let old_f = f in
let f =
PT.Binder
(`Forall,
- (mk_ident universe,Some (PT.Sort `Set)),
+ (mk_ident universe,Some (PT.Sort (`Type (CicUniv.fresh ())))),
convert_formula fv false context f)
in
- let o = PT.Theorem (`Theorem,name,f,None) in
- statements @ [
- GA.Executable(floc,GA.Command(floc,GA.Obj(floc,o)));
- GA.Executable(floc,GA.Tactical(floc, GA.Tactic(floc,
- GA.Intros (floc,None,[])),Some (GA.Dot(floc))))] @
- (if fv <> [] then
- (List.flatten
- (List.map
- (fun _ ->
- [GA.Executable(floc,GA.Tactical(floc, GA.Tactic(floc,
- GA.Exists floc),Some (GA.Branch floc)));
- GA.Executable(floc,GA.Tactical(floc,
- GA.Pos (floc,[2]),None))])
- fv))
- else [])@
- [GA.Executable(floc,GA.Tactical(floc, GA.Tactic(floc,
- GA.Auto (floc,["paramodulation",""])),
- Some (GA.Dot(floc))));
- GA.Executable(floc,GA.Tactical(floc, GA.Try(floc,
- GA.Tactic (floc, GA.Assumption floc)), Some (GA.Dot(floc))))
- ]@
- (if fv <> [] then
- (List.flatten
- (List.map
- (fun _ ->
- [GA.Executable(floc,GA.Tactical(floc, GA.Shift floc, None));
- GA.Executable(floc,GA.Tactical(floc, GA.Skip floc,Some
- (GA.Merge floc)))])
- fv))
- else [])@
- [GA.Executable(floc,GA.Command(floc, GA.Print(floc,"proofterm")));
- GA.Executable(floc,GA.Command(floc, GA.Qed(floc)))],
+ let o = PT.Theorem (`Theorem,name,f,None,`Regular) in
+ (statements @
+ [ GA.Executable(floc,GA.Command(floc,
+ (*if ng then GA.NObj (floc,o) else*) GA.Obj(floc,o))); ] @
+ if ng then
+ ng_generate_tactics fv ueq_case context
+ (let atom = atom_of_formula old_f in collect_arities atom context)
+ else generate_tactics fv ueq_case),
context
| A.Definition
| A.Lemma
;;
(* MAIN *)
-let tptp2grafite ?raw_preamble ~tptppath ~filename () =
+let tptp2grafite ?(timeout=600) ?(def_depth=10) ?raw_preamble ~tptppath ~filename ~ng () =
+ paramod_timeout := timeout;
+ depth := def_depth;
let rec aux = function
| [] -> []
| ((A.Inclusion (file,_)) as hd) :: tl ->
let grafite_ast_statements,_ =
List.fold_left
(fun (st, ctx) f ->
- let newst, ctx = convert_ast st ctx f in
+ let newst, ctx = convert_ast ng st ctx f in
newst, ctx)
([],[]) statements
in
* which will show up using the following command line:
* ./tptp2grafite -tptppath ~tassi/TPTP-v3.1.1 GRP170-1 *)
let width = max_int in
- let term_pp content_term =
+ let term_pp prec content_term =
let pres_term = TermContentPres.pp_ast content_term in
- let dummy_tbl = Hashtbl.create 1 in
- let markup = CicNotationPres.render dummy_tbl pres_term in
- let s = BoxPp.render_to_string List.hd width markup in
+ let lookup_uri = fun _ -> None in
+ let markup = CicNotationPres.render ~lookup_uri ~prec pres_term in
+ let s = BoxPp.render_to_string List.hd width markup ~map_unicode_to_tex:false in
Pcre.substitute
- ~pat:"\\\\forall [Ha-z][a-z0-9_]*" ~subst:(fun x -> "\n" ^ x) s
+ ~rex:(Pcre.regexp ~flags:[`UTF8] "∀[Ha-z][a-z0-9_]*") ~subst:(fun x -> "\n" ^ x)
+ s
in
- CicNotationPp.set_pp_term term_pp;
+ CicNotationPp.set_pp_term (term_pp 90);
let lazy_term_pp = fun x -> assert false in
- let obj_pp = CicNotationPp.pp_obj in
- GrafiteAstPp.pp_statement ~term_pp ~lazy_term_pp ~obj_pp t
+ let obj_pp = CicNotationPp.pp_obj CicNotationPp.pp_term in
+ Pcre.replace ~pat:"theorem" ~templ:"ntheorem"
+ (GrafiteAstPp.pp_statement
+ ~map_unicode_to_tex:false ~term_pp:(term_pp 19) ~lazy_term_pp ~obj_pp t)
in
let buri = Pcre.replace ~pat:"\\.p$" ("cic:/matita/TPTP/" ^ filename) in
let extra_statements_start = [
- GA.Executable(floc,GA.Command(floc,
- GA.Set(floc,"baseuri",buri)))]
+ (*GA.Executable(floc,GA.Command(floc,
+ GA.Set(floc,"baseuri",buri)))*)]
in
let preamble =
match raw_preamble with
| None ->
- pp (GA.Executable(floc,
- GA.Command(floc,GA.Include(floc,"logic/equality.ma"))))
+ pp
+ (GA.Executable(floc,
+ GA.Command(floc,GA.Include(floc,true,`OldAndNew,"logic/equality.ma"))))
| Some s -> s buri
in
let extra_statements_end = [] in