src/HOL/Tools/res_clause.ML
author paulson
Mon Aug 28 18:16:08 2006 +0200 (2006-08-28)
changeset 20422 35a6a4c863f1
parent 20418 7c1aa7872266
child 20790 a9595fdc02b1
permissions -rw-r--r--
removed the (apparently pointless) signature constraint
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(*  Author: Jia Meng, Cambridge University Computer Laboratory
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    ID: $Id$
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    Copyright 2004 University of Cambridge
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ML data structure for storing/printing FOL clauses and arity clauses.
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Typed equality is treated differently.
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*)
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(*FIXME: is this signature necessary? Or maybe define and open a Basic_ResClause?*)
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signature RES_CLAUSE =
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  sig
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  exception CLAUSE of string * term
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  type clause and arityClause and classrelClause
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  type fol_type
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  type typ_var
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  type type_literal
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  val add_typs_aux : (typ_var * string list) list -> type_literal list * type_literal list
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  val arity_clause_thy: theory -> arityClause list 
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  val ascii_of : string -> string
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  val bracket_pack : string list -> string
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  val classrel_clauses_thy: theory -> classrelClause list 
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  val clause_prefix : string 
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  val clause2tptp : clause -> string * string list
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  val const_prefix : string
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  val dfg_write_file:  thm list -> string -> 
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       ((thm * (string * int)) list * classrelClause list * arityClause list) -> string list
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  val fixed_var_prefix : string
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  val gen_tptp_cls : int * string * string * string -> string
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  val gen_tptp_type_cls : int * string * string * string * int -> string
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  val get_axiomName : clause ->  string
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  val init : theory -> unit
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  val isMeta : string -> bool
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  val isTaut : clause -> bool
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  val keep_types : bool ref
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  val list_ord : ('a * 'b -> order) -> 'a list * 'b list -> order
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  val make_axiom_clause : thm -> string * int -> clause option
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  val make_conjecture_clauses : thm list -> clause list
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  val make_fixed_const : string -> string		
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  val make_fixed_type_const : string -> string   
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  val make_fixed_type_var : string -> string
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  val make_fixed_var : string -> string
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  val make_schematic_type_var : string * int -> string
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  val make_schematic_var : string * int -> string
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  val make_type_class : string -> string
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  val mk_fol_type: string * string * fol_type list -> fol_type
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  val mk_typ_var_sort : Term.typ -> typ_var * sort
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  val paren_pack : string list -> string
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  val schematic_var_prefix : string
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  val special_equal : bool ref
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  val string_of_fol_type : fol_type -> string
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  val tconst_prefix : string 
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  val tfree_prefix : string
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  val tptp_arity_clause : arityClause -> string
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  val tptp_classrelClause : classrelClause -> string
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  val tptp_of_typeLit : type_literal -> string
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  val tptp_tfree_clause : string -> string
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  val tptp_write_file: thm list -> string -> 
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       ((thm * (string * int)) list * classrelClause list * arityClause list) -> string list
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  val tvar_prefix : string
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  val union_all : ''a list list -> ''a list
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  val writeln_strs: TextIO.outstream -> TextIO.vector list -> unit
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  val dfg_sign: bool -> string -> string
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  val dfg_of_typeLit: type_literal -> string
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  val get_tvar_strs: (typ_var * sort) list -> string list
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  val gen_dfg_cls: int * string * string * string * string list -> string
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  val add_foltype_funcs: fol_type * int Symtab.table -> int Symtab.table
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  val add_arityClause_funcs: arityClause * int Symtab.table -> int Symtab.table
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  val add_arityClause_preds: arityClause * int Symtab.table -> int Symtab.table
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  val add_classrelClause_preds : classrelClause * int Symtab.table -> int Symtab.table
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  val dfg_tfree_clause : string -> string
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  val string_of_start: string -> string
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  val string_of_descrip : string -> string
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  val string_of_symbols: string -> string -> string
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  val string_of_funcs: (string * int) list -> string
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  val string_of_preds: (string * Int.int) list -> string
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  val dfg_classrelClause: classrelClause -> string
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  val dfg_arity_clause: arityClause -> string
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end;
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structure ResClause =
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struct
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(* Added for typed equality *)
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val special_equal = ref false; (* by default,equality does not carry type information *)
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val eq_typ_wrapper = "typeinfo"; (* default string *)
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val schematic_var_prefix = "V_";
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val fixed_var_prefix = "v_";
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val tvar_prefix = "T_";
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val tfree_prefix = "t_";
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val clause_prefix = "cls_"; 
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val arclause_prefix = "clsarity_" 
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val clrelclause_prefix = "clsrel_";
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val const_prefix = "c_";
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val tconst_prefix = "tc_"; 
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val class_prefix = "class_"; 
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fun union_all xss = foldl (op union) [] xss;
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(*Provide readable names for the more common symbolic functions*)
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val const_trans_table =
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      Symtab.make [("op =", "equal"),
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	  	   ("Orderings.less_eq", "lessequals"),
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		   ("Orderings.less", "less"),
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		   ("op &", "and"),
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		   ("op |", "or"),
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		   ("HOL.plus", "plus"),
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		   ("HOL.minus", "minus"),
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		   ("HOL.times", "times"),
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		   ("Divides.op div", "div"),
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		   ("HOL.divide", "divide"),
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		   ("op -->", "implies"),
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		   ("{}", "emptyset"),
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		   ("op :", "in"),
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		   ("op Un", "union"),
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		   ("op Int", "inter"),
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		   ("List.op @", "append")];
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val type_const_trans_table =
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      Symtab.make [("*", "prod"),
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	  	   ("+", "sum"),
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		   ("~=>", "map")];
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(*Escaping of special characters.
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  Alphanumeric characters are left unchanged.
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  The character _ goes to __
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  Characters in the range ASCII space to / go to _A to _P, respectively.
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  Other printing characters go to _NNN where NNN is the decimal ASCII code.*)
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local
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val A_minus_space = Char.ord #"A" - Char.ord #" ";
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fun ascii_of_c c =
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  if Char.isAlphaNum c then String.str c
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  else if c = #"_" then "__"
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  else if #" " <= c andalso c <= #"/" 
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       then "_" ^ String.str (Char.chr (Char.ord c + A_minus_space))
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  else if Char.isPrint c then ("_" ^ Int.toString (Char.ord c))
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  else ""
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in
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val ascii_of = String.translate ascii_of_c;
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end;
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(* convert a list of strings into one single string; surrounded by brackets *)
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fun paren_pack [] = ""   (*empty argument list*)
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  | paren_pack strings = "(" ^ commas strings ^ ")";
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fun bracket_pack strings = "[" ^ commas strings ^ "]";
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(*Remove the initial ' character from a type variable, if it is present*)
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fun trim_type_var s =
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  if s <> "" andalso String.sub(s,0) = #"'" then String.extract(s,1,NONE)
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  else error ("trim_type: Malformed type variable encountered: " ^ s);
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fun ascii_of_indexname (v,0) = ascii_of v
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  | ascii_of_indexname (v,i) = ascii_of v ^ "_" ^ Int.toString i;
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fun make_schematic_var v = schematic_var_prefix ^ (ascii_of_indexname v);
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fun make_fixed_var x = fixed_var_prefix ^ (ascii_of x);
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fun make_schematic_type_var (x,i) = 
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      tvar_prefix ^ (ascii_of_indexname (trim_type_var x,i));
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fun make_fixed_type_var x = tfree_prefix ^ (ascii_of (trim_type_var x));
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fun lookup_const c =
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    case Symtab.lookup const_trans_table c of
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        SOME c' => c'
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      | NONE => ascii_of c;
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fun lookup_type_const c = 
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    case Symtab.lookup type_const_trans_table c of
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        SOME c' => c'
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      | NONE => ascii_of c;
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fun make_fixed_const "op =" = "equal"   (*MUST BE "equal" because it's built-in to ATPs*)
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  | make_fixed_const c      = const_prefix ^ lookup_const c;
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fun make_fixed_type_const c = tconst_prefix ^ lookup_type_const c;
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fun make_type_class clas = class_prefix ^ ascii_of clas;
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(***** definitions and functions for FOL clauses, for conversion to TPTP or DFG format. *****)
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val keep_types = ref true;
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datatype kind = Axiom | Hypothesis | Conjecture;
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fun name_of_kind Axiom = "axiom"
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  | name_of_kind Hypothesis = "hypothesis"
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  | name_of_kind Conjecture = "conjecture";
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type clause_id = int;
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type axiom_name = string;
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type polarity = bool;
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(**** Isabelle FOL clauses ****)
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type pred_name = string;
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datatype typ_var = FOLTVar of indexname | FOLTFree of string;
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(*FIXME: give the constructors more sensible names*)
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datatype fol_type = AtomV of string
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		  | AtomF of string
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		  | Comp of string * fol_type list;
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fun string_of_fol_type (AtomV x) = x
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  | string_of_fol_type (AtomF x) = x
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  | string_of_fol_type (Comp(tcon,tps)) = 
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      tcon ^ (paren_pack (map string_of_fol_type tps));
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fun mk_fol_type ("Var",x,_) = AtomV(x)
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  | mk_fol_type ("Fixed",x,_) = AtomF(x)
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  | mk_fol_type ("Comp",con,args) = Comp(con,args)
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(*First string is the type class; the second is a TVar or TFfree*)
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datatype type_literal = LTVar of string * string | LTFree of string * string;
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datatype fol_term = UVar of string * fol_type
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                  | Fun of string * fol_type list * fol_term list;
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datatype predicate = Predicate of pred_name * fol_type list * fol_term list;
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datatype literal = Literal of polarity * predicate;
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fun mk_typ_var_sort (TFree(a,s)) = (FOLTFree a,s)
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  | mk_typ_var_sort (TVar(v,s)) = (FOLTVar v,s);
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(*A clause has first-order literals and other, type-related literals*)
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datatype clause = 
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	 Clause of {clause_id: clause_id,
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		    axiom_name: axiom_name,
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		    th: thm,
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		    kind: kind,
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		    literals: literal list,
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		    types_sorts: (typ_var * sort) list};
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fun get_axiomName (Clause cls) = #axiom_name cls;
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exception CLAUSE of string * term;
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fun isFalse (Literal (pol, Predicate(pname,_,[]))) =
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      (pol andalso pname = "c_False") orelse
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      (not pol andalso pname = "c_True")
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  | isFalse _ = false;
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fun isTrue (Literal (pol, Predicate(pname,_,[]))) =
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      (pol andalso pname = "c_True") orelse
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      (not pol andalso pname = "c_False")
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  | isTrue _ = false;
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fun isTaut (Clause {literals,...}) = exists isTrue literals;  
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(*Declarations of the current theory--to allow suppressing types.*)
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val const_typargs = ref (Library.K [] : (string*typ -> typ list));
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fun num_typargs(s,T) = if !keep_types then length (!const_typargs (s,T)) else 0;
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(*Initialize the type suppression mechanism with the current theory before
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    producing any clauses!*)
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fun init thy = (const_typargs := Sign.const_typargs thy);
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(*Flatten a type to a fol_type while accumulating sort constraints on the TFrees and
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  TVars it contains.*)    
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fun type_of (Type (a, Ts)) = 
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      let val (folTyps, ts) = types_of Ts 
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	  val t = make_fixed_type_const a
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      in (Comp(t,folTyps), ts) end
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  | type_of (TFree (a,s)) = (AtomF(make_fixed_type_var a), [(FOLTFree a, s)]) 
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  | type_of (TVar (v, s)) = (AtomV(make_schematic_type_var v), [(FOLTVar v, s)])
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and types_of Ts =
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      let val (folTyps,ts) = ListPair.unzip (map type_of Ts)
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      in (folTyps, union_all ts) end;
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fun const_types_of (c,T) = types_of (!const_typargs (c,T));
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(* Any variables created via the METAHYPS tactical should be treated as
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   universal vars, although it is represented as "Free(...)" by Isabelle *)
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val isMeta = String.isPrefix "METAHYP1_"
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fun pred_name_type (Const(c,T)) = (make_fixed_const c, const_types_of (c,T))
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  | pred_name_type (Free(x,T))  = 
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      if isMeta x then raise CLAUSE("Predicate Not First Order 1", Free(x,T)) 
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      else (make_fixed_var x, ([],[]))
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  | pred_name_type (v as Var _) = raise CLAUSE("Predicate Not First Order 2", v)
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  | pred_name_type t        = raise CLAUSE("Predicate input unexpected", t);
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(* For typed equality *)
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(* here "arg_typ" is the type of "="'s argument's type, not the type of the equality *)
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(* Find type of equality arg *)
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fun eq_arg_type (Type("fun",[T,_])) = 
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    let val (folT,_) = type_of T;
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    in  folT  end;
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fun fun_name_type (Const(c,T)) args = (make_fixed_const c, const_types_of (c,T))
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  | fun_name_type (Free(x,T)) args  = 
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       if isMeta x then raise CLAUSE("Function Not First Order", Free(x,T))
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       else (make_fixed_var x, ([],[]))
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  | fun_name_type f args = raise CLAUSE("Function Not First Order 1", f);
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(*Convert a term to a fol_term while accumulating sort constraints on the TFrees and
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  TVars it contains.*)    
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fun term_of (Var(ind_nm,T)) = 
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      let val (folType,ts) = type_of T
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      in (UVar(make_schematic_var ind_nm, folType), ts) end
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  | term_of (Free(x,T)) = 
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      let val (folType, ts) = type_of T
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      in
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	  if isMeta x then (UVar(make_schematic_var(x,0),folType), ts)
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	  else (Fun(make_fixed_var x, [], []), ts)  (*Frees don't need types!*)
paulson@17230
   324
      end
paulson@18218
   325
  | term_of app = 
paulson@17230
   326
      let val (f,args) = strip_comb app
paulson@18798
   327
	  val (funName,(contys,ts1)) = fun_name_type f args
paulson@18798
   328
	  val (args',ts2) = terms_of args
paulson@17230
   329
      in
paulson@18868
   330
	  (Fun(funName,contys,args'), union_all (ts1::ts2))
paulson@17230
   331
      end
paulson@18798
   332
and terms_of ts = ListPair.unzip (map term_of ts)
paulson@15390
   333
paulson@18856
   334
(*Create a predicate value, again accumulating sort constraints.*)    
paulson@17404
   335
fun pred_of (Const("op =", typ), args) =
paulson@17404
   336
      let val arg_typ = eq_arg_type typ 
paulson@18798
   337
	  val (args',ts) = terms_of args
paulson@17404
   338
	  val equal_name = make_fixed_const "op ="
paulson@17404
   339
      in
paulson@18218
   340
	  (Predicate(equal_name,[arg_typ],args'),
paulson@18856
   341
	   union_all ts)
paulson@17404
   342
      end
paulson@17404
   343
  | pred_of (pred,args) = 
paulson@18856
   344
      let val (pname, (predType,ts1)) = pred_name_type pred
paulson@18798
   345
	  val (args',ts2) = terms_of args
paulson@17404
   346
      in
paulson@18856
   347
	  (Predicate(pname,predType,args'), union_all (ts1::ts2))
paulson@17404
   348
      end;
paulson@15347
   349
paulson@20018
   350
(*Treatment of literals, possibly negated*)
paulson@20018
   351
fun predicate_of ((Const("Not",_) $ P), polarity) = predicate_of (P, not polarity)
paulson@20018
   352
  | predicate_of (term,polarity) = (pred_of (strip_comb term), polarity);
paulson@15347
   353
paulson@17888
   354
fun literals_of_term1 args (Const("Trueprop",_) $ P) = literals_of_term1 args P
paulson@18856
   355
  | literals_of_term1 args (Const("op |",_) $ P $ Q) = 
paulson@18856
   356
      literals_of_term1 (literals_of_term1 args P) Q
paulson@18856
   357
  | literals_of_term1 (lits, ts) P =
paulson@20018
   358
      let val ((pred, ts'), polarity) = predicate_of (P,true)
paulson@20018
   359
	  val lits' = Literal(polarity,pred) :: lits
paulson@17234
   360
      in
paulson@18856
   361
	  (lits', ts union ts')
paulson@17234
   362
      end;
quigley@17150
   363
paulson@18856
   364
val literals_of_term = literals_of_term1 ([],[]);
quigley@17150
   365
mengj@18403
   366
mengj@18403
   367
fun list_ord _ ([],[]) = EQUAL
mengj@18403
   368
  | list_ord _ ([],_) = LESS
mengj@18403
   369
  | list_ord _ (_,[]) = GREATER
paulson@19207
   370
  | list_ord ord (x::xs, y::ys) = 
paulson@19207
   371
      (case ord(x,y) of EQUAL => list_ord ord (xs,ys)
paulson@19207
   372
	 	      | xy_ord => xy_ord);
paulson@19207
   373
		     
paulson@18798
   374
(*Make literals for sorted type variables.  FIXME: can it use map?*) 
quigley@17150
   375
fun sorts_on_typs (_, [])   = ([]) 
paulson@16199
   376
  | sorts_on_typs (v, "HOL.type" :: s) =
paulson@18411
   377
      sorts_on_typs (v,s)                (*IGNORE sort "type"*)
paulson@18798
   378
  | sorts_on_typs ((FOLTVar indx), s::ss) =
paulson@18798
   379
      LTVar(make_type_class s, make_schematic_type_var indx) :: 
paulson@18798
   380
      sorts_on_typs ((FOLTVar indx), ss)
paulson@18798
   381
  | sorts_on_typs ((FOLTFree x), s::ss) =
paulson@18798
   382
      LTFree(make_type_class s, make_fixed_type_var x) :: 
paulson@18798
   383
      sorts_on_typs ((FOLTFree x), ss);
paulson@15347
   384
quigley@17150
   385
paulson@18798
   386
fun pred_of_sort (LTVar (s,ty)) = (s,1)
paulson@18798
   387
|   pred_of_sort (LTFree (s,ty)) = (s,1)
quigley@17150
   388
paulson@16199
   389
(*Given a list of sorted type variables, return two separate lists.
paulson@16199
   390
  The first is for TVars, the second for TFrees.*)
paulson@18856
   391
fun add_typs_aux [] = ([],[])
paulson@18856
   392
  | add_typs_aux ((FOLTVar indx,s)::tss) = 
paulson@17230
   393
      let val vs = sorts_on_typs (FOLTVar indx, s)
paulson@18856
   394
	  val (vss,fss) = add_typs_aux tss
quigley@17150
   395
      in
paulson@18856
   396
	  (vs union vss, fss)
quigley@17150
   397
      end
paulson@18856
   398
  | add_typs_aux ((FOLTFree x,s)::tss) =
paulson@17230
   399
      let val fs = sorts_on_typs (FOLTFree x, s)
paulson@18856
   400
	  val (vss,fss) = add_typs_aux tss
quigley@17150
   401
      in
paulson@18856
   402
	  (vss, fs union fss)
quigley@17150
   403
      end;
quigley@17150
   404
paulson@18920
   405
(** Too general means, positive equality literal with a variable X as one operand,
paulson@18920
   406
  when X does not occur properly in the other operand. This rules out clearly
paulson@18920
   407
  inconsistent clauses such as V=a|V=b, though it by no means guarantees soundness. **)
paulson@18920
   408
paulson@18920
   409
fun occurs a (UVar(b,_)) = a=b
paulson@18920
   410
  | occurs a (Fun (_,_,ts)) = exists (occurs a) ts
paulson@18920
   411
paulson@18920
   412
(*Is the first operand a variable that does not properly occur in the second operand?*)
paulson@18920
   413
fun too_general_terms (UVar _, UVar _) = false
paulson@18920
   414
  | too_general_terms (Fun _, _) = false
paulson@18920
   415
  | too_general_terms (UVar (a,_), t) = not (occurs a t);
paulson@18920
   416
paulson@20018
   417
fun too_general_lit (Literal (true, Predicate("equal",_,[x,y]))) =
paulson@18920
   418
      too_general_terms (x,y) orelse too_general_terms(y,x)
paulson@18920
   419
  | too_general_lit _ = false;
quigley@17150
   420
mengj@20015
   421
mengj@20015
   422
mengj@20015
   423
(** make axiom and conjecture clauses. **)
mengj@20015
   424
mengj@20015
   425
exception MAKE_CLAUSE;
mengj@20015
   426
fun make_clause (clause_id, axiom_name, th, kind) =
paulson@20018
   427
  let val term = prop_of th
paulson@20018
   428
      val (lits,types_sorts) = literals_of_term term
paulson@20018
   429
  in if forall isFalse lits 
paulson@20018
   430
     then error "Problem too trivial for resolution (empty clause)"
paulson@20018
   431
     else if kind=Axiom andalso forall too_general_lit lits 
paulson@20018
   432
     then (Output.debug ("Omitting " ^ axiom_name ^ ": equalities are too general"); 
paulson@20018
   433
           raise MAKE_CLAUSE)
paulson@20018
   434
     else Clause {clause_id = clause_id, axiom_name = axiom_name, th = th, 
paulson@20018
   435
                  kind = kind, literals = lits, types_sorts = types_sorts}
paulson@20018
   436
  end;		     
mengj@20015
   437
mengj@20015
   438
fun get_tvar_strs [] = []
mengj@20015
   439
  | get_tvar_strs ((FOLTVar indx,s)::tss) = 
mengj@20015
   440
      (make_schematic_type_var indx) ins (get_tvar_strs tss)
mengj@20015
   441
  | get_tvar_strs((FOLTFree x,s)::tss) = get_tvar_strs tss
mengj@20015
   442
mengj@20015
   443
(* check if a clause is first-order before making a conjecture clause*)
paulson@20418
   444
fun make_conjecture_clause n th =
paulson@20418
   445
  if Meson.is_fol_term (prop_of th) then make_clause(n, "conjecture", th, Conjecture)
paulson@20418
   446
  else raise CLAUSE("Goal is not FOL", prop_of th);
paulson@20418
   447
  
mengj@20015
   448
fun make_conjecture_clauses_aux _ [] = []
mengj@20015
   449
  | make_conjecture_clauses_aux n (t::ts) =
mengj@20015
   450
      make_conjecture_clause n t :: make_conjecture_clauses_aux (n+1) ts
mengj@20015
   451
mengj@20015
   452
val make_conjecture_clauses = make_conjecture_clauses_aux 0
mengj@20015
   453
mengj@18199
   454
(*before converting an axiom clause to "clause" format, check if it is FOL*)
mengj@19443
   455
fun make_axiom_clause thm (ax_name,cls_id) =
paulson@20022
   456
  if Meson.is_fol_term (prop_of thm) 
paulson@20022
   457
  then (SOME (make_clause(cls_id, ax_name, thm, Axiom)) handle MAKE_CLAUSE => NONE)
paulson@20022
   458
  else (Output.debug ("Omitting " ^ ax_name ^ ": Axiom is not FOL"); NONE)
mengj@20015
   459
    
mengj@19443
   460
fun make_axiom_clauses [] = []
mengj@19443
   461
  | make_axiom_clauses ((thm,(name,id))::thms) =
paulson@20022
   462
      case make_axiom_clause thm (name,id) of 
paulson@20022
   463
          SOME cls => if isTaut cls then make_axiom_clauses thms 
paulson@20022
   464
                      else (name,cls) :: make_axiom_clauses thms
paulson@20022
   465
        | NONE => make_axiom_clauses thms;
mengj@19354
   466
paulson@15347
   467
(**** Isabelle arities ****)
paulson@15347
   468
paulson@15347
   469
exception ARCLAUSE of string;
paulson@15347
   470
 
paulson@15347
   471
type class = string; 
paulson@15347
   472
type tcons = string; 
paulson@15347
   473
paulson@18868
   474
datatype arLit = TConsLit of bool * (class * tcons * string list)
paulson@18868
   475
               | TVarLit of bool * (class * string);
paulson@15347
   476
 
paulson@15347
   477
datatype arityClause =  
paulson@15347
   478
	 ArityClause of {clause_id: clause_id,
paulson@17845
   479
	  	         axiom_name: axiom_name,
paulson@15347
   480
			 kind: kind,
paulson@15347
   481
			 conclLit: arLit,
paulson@15347
   482
			 premLits: arLit list};
paulson@15347
   483
paulson@15347
   484
paulson@18798
   485
fun gen_TVars 0 = []
paulson@18798
   486
  | gen_TVars n = ("T_" ^ Int.toString n) :: gen_TVars (n-1);
paulson@15347
   487
paulson@18411
   488
fun pack_sort(_,[])  = []
paulson@18411
   489
  | pack_sort(tvar, "HOL.type"::srt) = pack_sort(tvar, srt)   (*IGNORE sort "type"*)
paulson@18411
   490
  | pack_sort(tvar, cls::srt) =  (make_type_class cls, tvar) :: pack_sort(tvar, srt);
paulson@15347
   491
    
paulson@18868
   492
fun make_TVarLit (b, (cls,str)) = TVarLit(b, (cls,str));
paulson@18868
   493
fun make_TConsLit (b, (cls,tcons,tvars)) = 
paulson@18868
   494
      TConsLit(b, (make_type_class cls, make_fixed_type_const tcons, tvars));
paulson@15347
   495
paulson@18411
   496
(*Arity of type constructor tcon :: (arg1,...,argN)res*)
paulson@18411
   497
fun make_axiom_arity_clause (tcons, n, (res,args)) =
paulson@17845
   498
   let val nargs = length args
paulson@18798
   499
       val tvars = gen_TVars nargs
paulson@17845
   500
       val tvars_srts = ListPair.zip (tvars,args)
paulson@17845
   501
       val tvars_srts' = union_all(map pack_sort tvars_srts)
paulson@17845
   502
       val false_tvars_srts' = map (pair false) tvars_srts'
paulson@17845
   503
   in
paulson@17845
   504
      ArityClause {clause_id = n, kind = Axiom, 
paulson@18411
   505
                   axiom_name = lookup_type_const tcons,
paulson@18411
   506
                   conclLit = make_TConsLit(true, (res,tcons,tvars)), 
paulson@17845
   507
                   premLits = map make_TVarLit false_tvars_srts'}
paulson@17845
   508
   end;
paulson@15347
   509
paulson@15347
   510
paulson@15347
   511
(**** Isabelle class relations ****)
paulson@15347
   512
paulson@15347
   513
datatype classrelClause = 
paulson@18868
   514
	 ClassrelClause of {axiom_name: axiom_name,
paulson@15347
   515
			    subclass: class,
paulson@18411
   516
			    superclass: class};
paulson@17845
   517
paulson@17845
   518
fun make_axiom_classrelClause n subclass superclass =
paulson@18868
   519
  ClassrelClause {axiom_name = clrelclause_prefix ^ ascii_of subclass ^ 
paulson@18868
   520
                                "_" ^ Int.toString n,
paulson@18868
   521
                  subclass = make_type_class subclass, 
paulson@18868
   522
                  superclass = make_type_class superclass};
paulson@15347
   523
paulson@17845
   524
fun classrelClauses_of_aux n sub [] = []
paulson@18411
   525
  | classrelClauses_of_aux n sub ("HOL.type"::sups) = (*Should be ignored*)
paulson@18411
   526
      classrelClauses_of_aux n sub sups
paulson@17845
   527
  | classrelClauses_of_aux n sub (sup::sups) =
paulson@18868
   528
      make_axiom_classrelClause n sub sup :: classrelClauses_of_aux (n+1) sub sups;
paulson@15347
   529
paulson@18411
   530
fun classrelClauses_of (sub,sups) = classrelClauses_of_aux 0 sub sups;
paulson@17845
   531
wenzelm@19642
   532
val classrel_clauses_thy =
wenzelm@19642
   533
  maps classrelClauses_of o Graph.dest o #classes o Sorts.rep_algebra o Sign.classes_of;
paulson@18868
   534
paulson@18868
   535
paulson@18868
   536
(** Isabelle arities **)
paulson@17845
   537
paulson@17845
   538
fun arity_clause _ (tcons, []) = []
paulson@19155
   539
  | arity_clause n (tcons, ("HOL.type",_)::ars) =  (*ignore*)
paulson@18411
   540
      arity_clause n (tcons,ars)
paulson@17845
   541
  | arity_clause n (tcons, ar::ars) =
paulson@17845
   542
      make_axiom_arity_clause (tcons,n,ar) :: 
paulson@17845
   543
      arity_clause (n+1) (tcons,ars);
paulson@17845
   544
paulson@17845
   545
fun multi_arity_clause [] = []
paulson@19155
   546
  | multi_arity_clause ((tcons,ars) :: tc_arlists) =
paulson@19155
   547
      (*Reversal ensures that older entries always get the same axiom name*)
paulson@19155
   548
      arity_clause 0 (tcons, rev ars)  @  
paulson@19155
   549
      multi_arity_clause tc_arlists 
paulson@17845
   550
paulson@17845
   551
fun arity_clause_thy thy =
wenzelm@19642
   552
  let val arities = thy |> Sign.classes_of
wenzelm@19642
   553
    |> Sorts.rep_algebra |> #arities |> Symtab.dest
wenzelm@19642
   554
    |> map (apsnd (map (fn (c, (_, Ss)) => (c, Ss))));
wenzelm@19521
   555
  in multi_arity_clause (rev arities) end;
paulson@17845
   556
paulson@17845
   557
paulson@18868
   558
(**** Find occurrences of predicates in clauses ****)
paulson@18868
   559
paulson@18868
   560
(*FIXME: multiple-arity checking doesn't work, as update_new is the wrong 
paulson@18868
   561
  function (it flags repeated declarations of a function, even with the same arity)*)
paulson@18868
   562
paulson@18868
   563
fun update_many (tab, keypairs) = foldl (uncurry Symtab.update) tab keypairs;
paulson@18868
   564
paulson@18868
   565
fun add_predicate_preds (Predicate(pname,tys,tms), preds) = 
paulson@18868
   566
  if pname = "equal" then preds (*equality is built-in and requires no declaration*)
paulson@18868
   567
  else Symtab.update (pname, length tys + length tms) preds
paulson@18868
   568
paulson@20018
   569
fun add_literal_preds (Literal(_,pred), preds) = add_predicate_preds (pred,preds)
paulson@18868
   570
paulson@18868
   571
fun add_type_sort_preds ((FOLTVar indx,s), preds) = 
paulson@18868
   572
      update_many (preds, map pred_of_sort (sorts_on_typs (FOLTVar indx, s)))
paulson@18868
   573
  | add_type_sort_preds ((FOLTFree x,s), preds) =
paulson@18868
   574
      update_many (preds, map pred_of_sort (sorts_on_typs (FOLTFree x, s)));
paulson@17845
   575
paulson@18868
   576
fun add_clause_preds (Clause {literals, types_sorts, ...}, preds) =
paulson@18868
   577
  foldl add_literal_preds (foldl add_type_sort_preds preds types_sorts) literals
paulson@18868
   578
  handle Symtab.DUP a => raise ERROR ("predicate " ^ a ^ " has multiple arities")
paulson@18868
   579
paulson@18868
   580
fun add_classrelClause_preds (ClassrelClause {subclass,superclass,...}, preds) =
paulson@18868
   581
  Symtab.update (subclass,1) (Symtab.update (superclass,1) preds);
paulson@17845
   582
paulson@18868
   583
fun add_arityClause_preds (ArityClause {conclLit,...}, preds) =
paulson@18868
   584
  let val TConsLit(_, (tclass, _, _)) = conclLit
paulson@18868
   585
  in  Symtab.update (tclass,1) preds  end;
paulson@18868
   586
paulson@18868
   587
fun preds_of_clauses clauses clsrel_clauses arity_clauses = 
paulson@18868
   588
  Symtab.dest
paulson@18868
   589
    (foldl add_classrelClause_preds 
paulson@18868
   590
      (foldl add_arityClause_preds
paulson@18868
   591
        (foldl add_clause_preds Symtab.empty clauses)
paulson@18868
   592
        arity_clauses)
paulson@18868
   593
      clsrel_clauses)
paulson@18798
   594
paulson@18868
   595
(*** Find occurrences of functions in clauses ***)
paulson@18868
   596
paulson@18868
   597
fun add_foltype_funcs (AtomV _, funcs) = funcs
paulson@18868
   598
  | add_foltype_funcs (AtomF a, funcs) = Symtab.update (a,0) funcs
paulson@18868
   599
  | add_foltype_funcs (Comp(a,tys), funcs) = 
paulson@18868
   600
      foldl add_foltype_funcs (Symtab.update (a, length tys) funcs) tys;
paulson@18868
   601
paulson@20038
   602
fun add_folterm_funcs (UVar(_,ty), funcs) = add_foltype_funcs (ty, funcs)
paulson@18868
   603
  | add_folterm_funcs (Fun(a,tys,tms), funcs) = 
paulson@18868
   604
      foldl add_foltype_funcs 
paulson@18868
   605
	    (foldl add_folterm_funcs (Symtab.update (a, length tys + length tms) funcs) 
paulson@18868
   606
	           tms) 
paulson@18868
   607
	    tys
paulson@18798
   608
paulson@18868
   609
fun add_predicate_funcs (Predicate(_,tys,tms), funcs) = 
paulson@18868
   610
    foldl add_foltype_funcs (foldl add_folterm_funcs funcs tms) tys;
paulson@18868
   611
paulson@20018
   612
fun add_literal_funcs (Literal(_,pred), funcs) = add_predicate_funcs (pred,funcs)
paulson@18868
   613
paulson@20038
   614
(*TFrees are recorded as constants*)
paulson@20038
   615
fun add_type_sort_funcs ((FOLTVar _, _), funcs) = funcs
paulson@20038
   616
  | add_type_sort_funcs ((FOLTFree a, _), funcs) = 
paulson@20038
   617
      Symtab.update (make_fixed_type_var a, 0) funcs
paulson@20038
   618
paulson@18868
   619
fun add_arityClause_funcs (ArityClause {conclLit,...}, funcs) =
paulson@18868
   620
  let val TConsLit(_, (_, tcons, tvars)) = conclLit
paulson@18868
   621
  in  Symtab.update (tcons, length tvars) funcs  end;
paulson@17845
   622
paulson@20038
   623
fun add_clause_funcs (Clause {literals, types_sorts, ...}, funcs) =
paulson@20038
   624
  foldl add_literal_funcs (foldl add_type_sort_funcs funcs types_sorts)
paulson@20038
   625
       literals
paulson@18868
   626
  handle Symtab.DUP a => raise ERROR ("function " ^ a ^ " has multiple arities")
paulson@18868
   627
paulson@18868
   628
fun funcs_of_clauses clauses arity_clauses = 
paulson@18868
   629
  Symtab.dest (foldl add_arityClause_funcs 
paulson@18868
   630
                     (foldl add_clause_funcs Symtab.empty clauses)
paulson@18868
   631
                     arity_clauses)
paulson@18868
   632
paulson@18868
   633
paulson@18868
   634
(**** String-oriented operations ****)
paulson@15347
   635
paulson@15347
   636
fun wrap_eq_type typ t = eq_typ_wrapper ^"(" ^ t ^ "," ^ typ ^ ")";
paulson@15347
   637
paulson@18218
   638
(*Only need to wrap equality's arguments with "typeinfo" if the output clauses are typed 
paulson@18218
   639
 and if we specifically ask for types to be included.   *)
paulson@15347
   640
fun string_of_equality (typ,terms) =
paulson@17230
   641
      let val [tstr1,tstr2] = map string_of_term terms
mengj@18402
   642
	  val typ' = string_of_fol_type typ
paulson@17230
   643
      in
paulson@17230
   644
	  if !keep_types andalso !special_equal 
mengj@18402
   645
	  then "equal(" ^ (wrap_eq_type typ' tstr1) ^ "," ^ 
mengj@18402
   646
		 	  (wrap_eq_type typ' tstr2) ^ ")"
paulson@17230
   647
	  else "equal(" ^ tstr1 ^ "," ^ tstr2 ^ ")"
paulson@17230
   648
      end
paulson@17230
   649
and string_of_term (UVar(x,_)) = x
paulson@18218
   650
  | string_of_term (Fun("equal",[typ],terms)) = string_of_equality(typ,terms)
mengj@20015
   651
  | string_of_term (Fun (name,typs,[])) = name ^ (paren_pack (map string_of_fol_type typs))
paulson@18218
   652
  | string_of_term (Fun (name,typs,terms)) = 
paulson@18218
   653
      let val terms_as_strings = map string_of_term terms
mengj@18402
   654
	  val typs' = if !keep_types then map string_of_fol_type typs else []
paulson@18420
   655
      in  name ^ (paren_pack (terms_as_strings @ typs'))  end;
paulson@15347
   656
paulson@15347
   657
(* before output the string of the predicate, check if the predicate corresponds to an equality or not. *)
paulson@18218
   658
fun string_of_predicate (Predicate("equal",[typ],terms)) = string_of_equality(typ,terms)
paulson@18218
   659
  | string_of_predicate (Predicate(name,typs,terms)) = 
paulson@17230
   660
      let val terms_as_strings = map string_of_term terms
mengj@18402
   661
	  val typs' = if !keep_types then map string_of_fol_type typs else []
paulson@18420
   662
      in  name ^ (paren_pack (terms_as_strings @ typs'))  end;
paulson@17317
   663
paulson@17317
   664
fun string_of_clausename (cls_id,ax_name) = 
paulson@17525
   665
    clause_prefix ^ ascii_of ax_name ^ "_" ^ Int.toString cls_id;
paulson@17317
   666
paulson@17317
   667
fun string_of_type_clsname (cls_id,ax_name,idx) = 
paulson@17525
   668
    string_of_clausename (cls_id,ax_name) ^ "_tcs" ^ (Int.toString idx);
paulson@18863
   669
paulson@18863
   670
(*Write a list of strings to a file*)
paulson@18863
   671
fun writeln_strs os = List.app (fn s => TextIO.output (os,s));
paulson@18863
   672
quigley@17150
   673
    
paulson@18868
   674
(**** Producing DFG files ****)
quigley@17150
   675
paulson@18863
   676
(*Attach sign in DFG syntax: false means negate.*)
paulson@18863
   677
fun dfg_sign true s = s
paulson@18863
   678
  | dfg_sign false s = "not(" ^ s ^ ")"  
paulson@18863
   679
paulson@20018
   680
fun dfg_literal (Literal(pol,pred)) = dfg_sign pol (string_of_predicate pred)
quigley@17150
   681
paulson@18798
   682
fun dfg_of_typeLit (LTVar (s,ty)) = "not(" ^ s ^ "(" ^ ty ^ "))"
paulson@18856
   683
  | dfg_of_typeLit (LTFree (s,ty)) = s ^ "(" ^ ty ^ ")";
quigley@17150
   684
 
paulson@18868
   685
(*Enclose the clause body by quantifiers, if necessary*)
paulson@18868
   686
fun dfg_forall [] body = body  
paulson@18868
   687
  | dfg_forall vars body = "forall([" ^ commas vars ^ "],\n" ^ body ^ ")"
quigley@17150
   688
paulson@18868
   689
fun gen_dfg_cls (cls_id, ax_name, knd, lits, vars) = 
paulson@18868
   690
    "clause( %(" ^ knd ^ ")\n" ^ 
paulson@18868
   691
    dfg_forall vars ("or(" ^ lits ^ ")") ^ ",\n" ^ 
paulson@18863
   692
    string_of_clausename (cls_id,ax_name) ^  ").\n\n";
quigley@17150
   693
paulson@18869
   694
fun dfg_clause_aux (Clause{literals, types_sorts, ...}) = 
paulson@18868
   695
  let val lits = map dfg_literal literals
paulson@18869
   696
      val (tvar_lits,tfree_lits) = add_typs_aux types_sorts
paulson@17230
   697
      val tvar_lits_strs = 
paulson@18869
   698
	  if !keep_types then map dfg_of_typeLit tvar_lits else []
paulson@17230
   699
      val tfree_lits =
paulson@18869
   700
          if !keep_types then map dfg_of_typeLit tfree_lits else []
paulson@17230
   701
  in
paulson@17234
   702
      (tvar_lits_strs @ lits, tfree_lits)
paulson@17230
   703
  end; 
quigley@17150
   704
paulson@20018
   705
fun dfg_folterms (Literal(pol,pred)) = 
paulson@18856
   706
  let val Predicate (_, _, folterms) = pred
paulson@18218
   707
  in  folterms  end
quigley@17150
   708
paulson@17404
   709
fun get_uvars (UVar(a,typ)) = [a] 
paulson@18868
   710
  | get_uvars (Fun (_,typ,tlist)) = union_all(map get_uvars tlist)
paulson@17404
   711
paulson@18868
   712
fun dfg_vars (Clause {literals,...}) =
paulson@18920
   713
  union_all (map get_uvars (List.concat (map dfg_folterms literals)))
quigley@17150
   714
paulson@18798
   715
fun clause2dfg (cls as Clause{axiom_name,clause_id,kind,types_sorts,...}) =
paulson@17230
   716
    let val (lits,tfree_lits) = dfg_clause_aux cls 
paulson@18798
   717
            (*"lits" includes the typing assumptions (TVars)*)
quigley@17150
   718
        val vars = dfg_vars cls
paulson@18798
   719
        val tvars = get_tvar_strs types_sorts
paulson@20038
   720
	val cls_str = gen_dfg_cls(clause_id, axiom_name, name_of_kind kind, 
paulson@20038
   721
	                           commas lits, tvars@vars) 
paulson@18798
   722
    in (cls_str, tfree_lits) end;
quigley@17150
   723
paulson@18798
   724
fun string_of_arity (name, num) =  "(" ^ name ^ "," ^ Int.toString num ^ ")"
quigley@17150
   725
paulson@18856
   726
fun string_of_preds [] = ""
paulson@18856
   727
  | string_of_preds preds = "predicates[" ^ commas(map string_of_arity preds) ^ "].\n";
quigley@17150
   728
paulson@18856
   729
fun string_of_funcs [] = ""
paulson@18856
   730
  | string_of_funcs funcs = "functions[" ^ commas(map string_of_arity funcs) ^ "].\n" ;
quigley@17150
   731
paulson@17234
   732
fun string_of_symbols predstr funcstr = 
paulson@17234
   733
  "list_of_symbols.\n" ^ predstr  ^ funcstr  ^ "end_of_list.\n\n";
quigley@17150
   734
paulson@18798
   735
fun string_of_start name = "begin_problem(" ^ name ^ ").\n\n";
quigley@17150
   736
paulson@18863
   737
fun string_of_descrip name = 
paulson@18868
   738
  "list_of_descriptions.\nname({*" ^ name ^ 
paulson@18868
   739
  "*}).\nauthor({*Isabelle*}).\nstatus(unknown).\ndescription({*auto-generated*}).\nend_of_list.\n\n"
quigley@17150
   740
paulson@18863
   741
fun dfg_tfree_clause tfree_lit =
paulson@18863
   742
  "clause( %(conjecture)\n" ^ "or( " ^ tfree_lit ^ "),\n" ^ "tfree_tcs" ^ ").\n\n"
paulson@18863
   743
paulson@17845
   744
fun string_of_arClauseID (ArityClause {clause_id,axiom_name,...}) =
paulson@17845
   745
    arclause_prefix ^ ascii_of axiom_name ^ "_" ^ Int.toString clause_id;
quigley@17150
   746
paulson@18863
   747
fun dfg_of_arLit (TConsLit(pol,(c,t,args))) =
paulson@18863
   748
      dfg_sign pol (c ^ "(" ^ t ^ paren_pack args ^ ")")
paulson@18863
   749
  | dfg_of_arLit (TVarLit(pol,(c,str))) =
paulson@18863
   750
      dfg_sign pol (c ^ "(" ^ str ^ ")")
paulson@17525
   751
    
paulson@20038
   752
fun dfg_classrelLits sub sup =  "not(" ^ sub ^ "(T)), " ^ sup ^ "(T)";
paulson@17525
   753
paulson@18868
   754
fun dfg_classrelClause (ClassrelClause {axiom_name,subclass,superclass,...}) =
paulson@18868
   755
  "clause(forall([T],\nor( " ^ dfg_classrelLits subclass superclass ^ ")),\n" ^
paulson@18868
   756
  axiom_name ^ ").\n\n";
paulson@18868
   757
      
paulson@18868
   758
fun dfg_arity_clause (arcls as ArityClause{kind,conclLit,premLits,...}) = 
paulson@18868
   759
  let val arcls_id = string_of_arClauseID arcls
paulson@18868
   760
      val knd = name_of_kind kind
paulson@18868
   761
      val TConsLit(_, (_,_,tvars)) = conclLit
paulson@18868
   762
      val lits = map dfg_of_arLit (conclLit :: premLits)
paulson@18863
   763
  in
paulson@18868
   764
      "clause( %(" ^ knd ^ ")\n" ^ 
paulson@18868
   765
      dfg_forall tvars ("or( " ^ commas lits ^ ")") ^ ",\n" ^
paulson@18868
   766
      arcls_id ^ ").\n\n"
paulson@18863
   767
  end;
paulson@18863
   768
paulson@18863
   769
(* write out a subgoal in DFG format to the file "xxxx_N"*)
paulson@20038
   770
fun dfg_write_file thms filename (ax_tuples,classrel_clauses,arity_clauses) = 
paulson@18863
   771
  let 
paulson@19207
   772
    val _ = Output.debug ("Preparing to write the DFG file " ^ filename)
mengj@19719
   773
    val conjectures = make_conjecture_clauses thms
paulson@20038
   774
    val (clnames,axclauses) = ListPair.unzip (make_axiom_clauses ax_tuples)
paulson@18868
   775
    val (dfg_clss, tfree_litss) = ListPair.unzip (map clause2dfg conjectures)
paulson@20038
   776
    val clss = conjectures @ axclauses
paulson@18868
   777
    val funcs = funcs_of_clauses clss arity_clauses
paulson@18868
   778
    and preds = preds_of_clauses clss classrel_clauses arity_clauses
paulson@18863
   779
    and probname = Path.pack (Path.base (Path.unpack filename))
paulson@20038
   780
    val (axstrs, _) = ListPair.unzip (map clause2dfg axclauses)
paulson@18863
   781
    val tfree_clss = map dfg_tfree_clause (union_all tfree_litss) 
paulson@19155
   782
    val out = TextIO.openOut filename
paulson@18863
   783
  in
paulson@18868
   784
    TextIO.output (out, string_of_start probname); 
paulson@18868
   785
    TextIO.output (out, string_of_descrip probname); 
paulson@18868
   786
    TextIO.output (out, string_of_symbols (string_of_funcs funcs) (string_of_preds preds)); 
paulson@18868
   787
    TextIO.output (out, "list_of_clauses(axioms,cnf).\n");
paulson@18868
   788
    writeln_strs out axstrs;
paulson@18868
   789
    List.app (curry TextIO.output out o dfg_classrelClause) classrel_clauses;
paulson@18868
   790
    List.app (curry TextIO.output out o dfg_arity_clause) arity_clauses;
paulson@18868
   791
    TextIO.output (out, "end_of_list.\n\nlist_of_clauses(conjectures,cnf).\n");
paulson@18868
   792
    writeln_strs out tfree_clss;
paulson@18868
   793
    writeln_strs out dfg_clss;
paulson@18868
   794
    TextIO.output (out, "end_of_list.\n\nend_problem.\n");
paulson@20022
   795
    TextIO.closeOut out;
paulson@20022
   796
    clnames
paulson@17525
   797
  end;
quigley@17150
   798
quigley@17150
   799
paulson@18869
   800
(**** Produce TPTP files ****)
paulson@18868
   801
paulson@18868
   802
(*Attach sign in TPTP syntax: false means negate.*)
paulson@18868
   803
fun tptp_sign true s = "++" ^ s
paulson@18868
   804
  | tptp_sign false s = "--" ^ s
paulson@18868
   805
paulson@20018
   806
fun tptp_literal (Literal(pol,pred)) = 
paulson@20018
   807
      (if pol then "++" else "--") ^ string_of_predicate pred;
paulson@15347
   808
paulson@18798
   809
fun tptp_of_typeLit (LTVar (s,ty)) = "--" ^ s ^ "(" ^ ty ^ ")"
paulson@18798
   810
  | tptp_of_typeLit (LTFree (s,ty)) = "++" ^ s ^ "(" ^ ty ^ ")";
paulson@15347
   811
 
paulson@15347
   812
fun gen_tptp_cls (cls_id,ax_name,knd,lits) = 
paulson@17317
   813
    "input_clause(" ^ string_of_clausename (cls_id,ax_name) ^ "," ^ 
paulson@18863
   814
    knd ^ "," ^ lits ^ ").\n";
paulson@15347
   815
paulson@17317
   816
fun gen_tptp_type_cls (cls_id,ax_name,knd,tfree_lit,idx) = 
paulson@17317
   817
    "input_clause(" ^ string_of_type_clsname (cls_id,ax_name,idx) ^ "," ^ 
paulson@18863
   818
    knd ^ ",[" ^ tfree_lit ^ "]).\n";
paulson@15347
   819
paulson@18869
   820
fun tptp_type_lits (Clause {literals, types_sorts, ...}) = 
paulson@18869
   821
    let val lits = map tptp_literal literals
paulson@18869
   822
	val (tvar_lits,tfree_lits) = add_typs_aux types_sorts
paulson@18869
   823
        val tvar_lits_strs =
paulson@18869
   824
            if !keep_types then map tptp_of_typeLit tvar_lits else []
paulson@18869
   825
	val tfree_lits =
paulson@18869
   826
	    if !keep_types then map tptp_of_typeLit tfree_lits else []
paulson@15347
   827
    in
paulson@17305
   828
	(tvar_lits_strs @ lits, tfree_lits)
paulson@15347
   829
    end; 
paulson@15347
   830
paulson@18869
   831
fun clause2tptp (cls as Clause {clause_id, axiom_name, kind, ...}) =
paulson@17422
   832
    let val (lits,tfree_lits) = tptp_type_lits cls 
paulson@17305
   833
            (*"lits" includes the typing assumptions (TVars)*)
paulson@18869
   834
	val knd = name_of_kind kind
paulson@18869
   835
	val cls_str = gen_tptp_cls(clause_id, axiom_name, knd, bracket_pack lits) 
paulson@15608
   836
    in
paulson@15608
   837
	(cls_str,tfree_lits) 
paulson@15608
   838
    end;
paulson@15608
   839
paulson@18863
   840
fun tptp_tfree_clause tfree_lit =
paulson@18863
   841
    "input_clause(" ^ "tfree_tcs," ^ "conjecture" ^ ",[" ^ tfree_lit ^ "]).\n";
paulson@15608
   842
paulson@17525
   843
fun tptp_of_arLit (TConsLit(b,(c,t,args))) =
paulson@18868
   844
      tptp_sign b (c ^ "(" ^ t ^ paren_pack args ^ ")")
paulson@17525
   845
  | tptp_of_arLit (TVarLit(b,(c,str))) =
paulson@18868
   846
      tptp_sign b (c ^ "(" ^ str ^ ")")
paulson@15347
   847
    
paulson@18868
   848
fun tptp_arity_clause (arcls as ArityClause{kind,conclLit,premLits,...}) = 
paulson@18868
   849
  let val arcls_id = string_of_arClauseID arcls
paulson@18868
   850
      val knd = name_of_kind kind
paulson@18868
   851
      val lits = map tptp_of_arLit (conclLit :: premLits)
paulson@18868
   852
  in
paulson@18868
   853
    "input_clause(" ^ arcls_id ^ "," ^ knd ^ "," ^ bracket_pack lits ^ ").\n"
paulson@18868
   854
  end;
paulson@15347
   855
paulson@15347
   856
fun tptp_classrelLits sub sup = 
paulson@15347
   857
    let val tvar = "(T)"
paulson@15347
   858
    in 
paulson@18411
   859
	"[--" ^ sub ^ tvar ^ ",++" ^ sup ^ tvar ^ "]"
paulson@15347
   860
    end;
paulson@15347
   861
paulson@18868
   862
fun tptp_classrelClause (ClassrelClause {axiom_name,subclass,superclass,...}) =
paulson@18868
   863
  "input_clause(" ^ axiom_name ^ ",axiom," ^ tptp_classrelLits subclass superclass ^ ").\n" 
quigley@17150
   864
paulson@18863
   865
(* write out a subgoal as tptp clauses to the file "xxxx_N"*)
paulson@20038
   866
fun tptp_write_file thms filename (ax_tuples,classrel_clauses,arity_clauses) =
paulson@18863
   867
  let
paulson@19207
   868
    val _ = Output.debug ("Preparing to write the TPTP file " ^ filename)
mengj@19443
   869
    val clss = make_conjecture_clauses thms
paulson@20038
   870
    val (clnames,axclauses) = ListPair.unzip (make_axiom_clauses ax_tuples)
paulson@18863
   871
    val (tptp_clss,tfree_litss) = ListPair.unzip (map clause2tptp clss)
paulson@18863
   872
    val tfree_clss = map tptp_tfree_clause (foldl (op union_string) [] tfree_litss)
paulson@18863
   873
    val out = TextIO.openOut filename
paulson@18863
   874
  in
paulson@20038
   875
    List.app (curry TextIO.output out o #1 o clause2tptp) axclauses;
paulson@18863
   876
    writeln_strs out tfree_clss;
paulson@18863
   877
    writeln_strs out tptp_clss;
paulson@18868
   878
    List.app (curry TextIO.output out o tptp_classrelClause) classrel_clauses;
paulson@18868
   879
    List.app (curry TextIO.output out o tptp_arity_clause) arity_clauses;
paulson@20022
   880
    TextIO.closeOut out;
paulson@20022
   881
    clnames
paulson@18863
   882
  end;
paulson@18863
   883
paulson@15347
   884
end;