src/HOL/Tools/res_clause.ML
author paulson
Mon Mar 14 17:04:10 2005 +0100 (2005-03-14)
changeset 15608 f161fa6f8fd5
parent 15531 08c8dad8e399
child 15610 f855fd163b62
permissions -rw-r--r--
bug fixes involving typechecking clauses
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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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signature RES_CLAUSE =
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  sig
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    exception ARCLAUSE of string
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    exception CLAUSE of string
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    type arityClause 
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    type classrelClause
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    val classrelClauses_of :
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       string * string list -> classrelClause list
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    type clause
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    val keep_types : bool ref
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    val make_axiom_arity_clause :
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       string * (string * string list list) -> arityClause
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    val make_axiom_classrelClause :
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       string * string option -> classrelClause
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    val make_axiom_clause : Term.term -> string * int -> clause
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    val make_axiom_clause_thm : Thm.thm -> string * int -> clause
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    val make_conjecture_clause : Term.term -> clause
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    val make_conjecture_clause_thm : Thm.thm -> clause
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    val make_hypothesis_clause : Term.term -> clause
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    val make_hypothesis_clause_thm : Thm.thm -> clause
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    val special_equal : bool ref
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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_clause : clause -> string list
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    val tptp_clauses2str : string list -> string
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    val typed : unit -> unit
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    val untyped : unit -> unit
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    val clause2tptp : clause -> string * string list
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    val tfree_clause : string -> string
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  end;
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structure ResClause : RES_CLAUSE =
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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 = "Typ_";
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val tfree_prefix = "typ_";
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val clause_prefix = "cls_"; 
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val arclause_prefix = "arcls_" 
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val const_prefix = "const_";
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val tconst_prefix = "tconst_"; 
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val class_prefix = "clas_"; 
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(**** some useful functions ****)
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val const_trans_table =
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      Symtab.make [("op =", "equal"),
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	  	   ("op <=", "lessequals"),
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		   ("op <", "less"),
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		   ("op &", "and"),
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		   ("op |", "or"),
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		   ("op -->", "implies"),
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		   ("op :", "in"),
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		   ("op Un", "union"),
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		   ("op Int", "inter")];
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fun ascii_of_c c =
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    let val n = ord c
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    in
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	(if ((n < 48) orelse (n > 57 andalso n < 65) orelse 
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	   (n > 90 andalso n < 97) orelse (n > 122)) then ("_asc" ^ string_of_int n ^ "_")
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							 else c)
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    end;
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fun ascii_of s = implode(map ascii_of_c (explode s));
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(* another version of above functions that remove chars that may not be allowed by Vampire *)
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fun make_schematic_var v = schematic_var_prefix ^ (ascii_of 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 v = tvar_prefix ^ (ascii_of v);
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fun make_fixed_type_var x = tfree_prefix ^ (ascii_of x);
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fun make_fixed_const c = const_prefix ^ (ascii_of c);
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fun make_fixed_type_const c = tconst_prefix ^ (ascii_of c);
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fun make_type_class clas = class_prefix ^ (ascii_of clas);
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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 =>  make_fixed_const c;
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(***** definitions and functions for FOL clauses, prepared for conversion into TPTP format or SPASS format. *****)
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val keep_types = ref true; (* default is true *)
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fun untyped () = (keep_types := false);
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fun typed () = (keep_types := 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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type indexname = Term.indexname;
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(* "tag" is used for vampire specific syntax  *)
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type tag = bool; 
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fun string_of_indexname (name,index) = name ^ "_" ^ (string_of_int index);
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val id_ref = ref 0;
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fun generate_id () = 
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     let val id = !id_ref
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     in
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	 (id_ref:=id + 1; id)
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     end;
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(**** Isabelle FOL clauses ****)
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(* by default it is false *)
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val tagged = ref false;
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type pred_name = string;
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type sort = Term.sort;
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type fol_type = string;
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datatype type_literal = LTVar of string | LTFree of string;
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datatype folTerm = UVar of string * fol_type| Fun of string * fol_type * folTerm list;
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datatype predicate = Predicate of pred_name * fol_type * folTerm list;
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datatype literal = Literal of polarity * predicate * tag;
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datatype typ_var = FOLTVar of indexname | FOLTFree of string;
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(* ML datatype used to repsent one single clause: disjunction of 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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		    kind: kind,
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		    literals: literal list,
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		    types_sorts: (typ_var * sort) list, 
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                    tvar_type_literals: type_literal list, 
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                    tfree_type_literals: type_literal list };
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exception CLAUSE of string;
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(*** make clauses ***)
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fun make_clause (clause_id,axiom_name,kind,literals,types_sorts,tvar_type_literals,tfree_type_literals) =
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     Clause {clause_id = clause_id, axiom_name = axiom_name, kind = kind, literals = literals, types_sorts = types_sorts,tvar_type_literals = tvar_type_literals,tfree_type_literals = tfree_type_literals};
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fun type_of (Type (a, [])) = (make_fixed_type_const a,[]) 
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  | type_of (Type (a, Ts)) = 
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    let val foltyps_ts = map type_of Ts
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        val (folTyps,ts) = ResLib.unzip foltyps_ts
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        val ts' = ResLib.flat_noDup ts
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    in    
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        (((make_fixed_type_const a) ^ (ResLib.list_to_string folTyps)),ts') 
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    end
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  | type_of (TFree (a, s)) = (make_fixed_type_var a, [((FOLTFree a),s)])
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  | type_of (TVar (v, s))  = (make_schematic_type_var (string_of_indexname v), [((FOLTVar v),s)]);
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(* added: checkMeta: string -> bool *)
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(* Any meta vars like ?x should be treated as universal vars,although it is represented as "Free(...)" by Isabelle *)
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fun checkMeta s =
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    let val chars = explode s
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    in
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	["M", "E", "T", "A", "H", "Y", "P", "1"] prefix chars
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    end;
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fun pred_name_type (Const(c,T)) = (lookup_const c,type_of T)
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  | pred_name_type (Free(x,T))  = 
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    let val is_meta = checkMeta x
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    in
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	if is_meta then (raise CLAUSE("Predicate Not First Order")) else
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	(make_fixed_var x,type_of T)
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    end
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  | pred_name_type (Var(_,_))   = raise CLAUSE("Predicate Not First Order")
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  | pred_name_type _          = raise CLAUSE("Predicate input unexpected");
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fun fun_name_type (Const(c,T)) = (lookup_const c,type_of T)
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  | fun_name_type (Free(x,T)) = (make_fixed_var x,type_of T)
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  | fun_name_type _ = raise CLAUSE("Function Not First Order");
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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
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	(UVar(make_schematic_var(string_of_indexname ind_nm),folType),ts)
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    end
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  | term_of (Free(x,T)) = 
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    let val is_meta = checkMeta x
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	val (folType,ts) = type_of T
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    in
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	if is_meta then (UVar(make_schematic_var x,folType),ts)
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	else
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            (Fun(make_fixed_var x,folType,[]),ts)
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    end
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  | term_of (Const(c,T)) = 
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    let val (folType,ts) = type_of T
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     in
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        (Fun(lookup_const c,folType,[]),ts)
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    end    
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  | term_of (app as (t $ a)) = 
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    let val (f,args) = strip_comb app
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        fun term_of_aux () = 
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            let val (funName,(funType,ts1)) = fun_name_type f
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                 val (args',ts2) = ResLib.unzip (map term_of args)
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                 val ts3 = ResLib.flat_noDup (ts1::ts2)
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            in
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		(Fun(funName,funType,args'),ts3)
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            end
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    in
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        case f of Const(_,_) => term_of_aux ()
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                | Free(s,_)  => if (checkMeta s) then (raise CLAUSE("Function Not First Order")) else term_of_aux ()
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                | _          => raise CLAUSE("Function Not First Order")
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    end
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  | term_of _ = raise CLAUSE("Function Not First Order"); 
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(* For type 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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local
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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
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	folT
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    end;
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in
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fun pred_of_eq ((Const ("op =", typ)),args) =
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    let val arg_typ = eq_arg_type typ 
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	val (args',ts) = ResLib.unzip (map term_of args)
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	val equal_name = lookup_const "op ="
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    in
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	(Predicate(equal_name,arg_typ,args'),ResLib.flat_noDup ts)
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    end;
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end;
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(* changed for non-equality predicate *)
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(* The input "pred" cannot be an equality *)
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fun pred_of_nonEq (pred,args) = 
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    let val (predName,(predType,ts1)) = pred_name_type pred
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	val (args',ts2) = ResLib.unzip (map term_of args)
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	val ts3 = ResLib.flat_noDup (ts1::ts2)
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    in
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	(Predicate(predName,predType,args'),ts3)
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    end;
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(* Changed for typed equality *)
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(* First check if the predicate is an equality or not, then call different functions for equality and non-equalities *)
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fun predicate_of term =
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    let val (pred,args) = strip_comb term
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    in
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	case pred of (Const ("op =", _)) => pred_of_eq (pred,args)
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		   | _ => pred_of_nonEq (pred,args)
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    end;
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fun literals_of_term ((Const("Trueprop",_) $ P),lits_ts) = literals_of_term(P,lits_ts)
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  | literals_of_term ((Const("op |",_) $ P $ Q),(lits,ts)) = 
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    let val (lits',ts') = literals_of_term(P,(lits,ts))
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    in
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        literals_of_term(Q,(lits',ts'))
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    end
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  | literals_of_term ((Const("Not",_) $ P),(lits,ts)) = 
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    let val (pred,ts') = predicate_of P
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        val lits' = Literal(false,pred,false) :: lits
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        val ts'' = ResLib.no_rep_app ts ts'
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    in
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        (lits',ts'')
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    end
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  | literals_of_term (P,(lits,ts)) = 
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    let val (pred,ts') = predicate_of P
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        val lits' = Literal(true,pred,false) :: lits
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        val ts'' = ResLib.no_rep_app ts ts' 
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    in
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        (lits',ts'')
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    end
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  | literals_of_term _ = raise CLAUSE("Unexpected clause format");
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fun literals_of_thm thm = 
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    let val term_of_thm = prop_of thm
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    in
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	literals_of_term (term_of_thm,([],[]))
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    end;
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fun sorts_on_typs (_, []) = []
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  | sorts_on_typs ((FOLTVar(indx)), [s]) = [LTVar((make_type_class s) ^ "(" ^ (make_schematic_type_var(string_of_indexname indx)) ^ ")")]
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  | sorts_on_typs ((FOLTVar(indx)), (s::ss))=  LTVar((make_type_class s) ^ "(" ^ (make_schematic_type_var(string_of_indexname indx)) ^ ")") :: (sorts_on_typs ((FOLTVar(indx)), ss))
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  | sorts_on_typs ((FOLTFree(x)), [s]) = [LTFree((make_type_class s) ^ "(" ^ (make_fixed_type_var(x)) ^ ")")]
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  | sorts_on_typs ((FOLTFree(x)), (s::ss)) = LTFree((make_type_class s) ^ "(" ^ (make_fixed_type_var(x)) ^ ")") :: (sorts_on_typs ((FOLTFree(x)), ss));
paulson@15347
   352
paulson@15347
   353
paulson@15347
   354
fun add_typs_aux [] = ([],[])
paulson@15347
   355
  | add_typs_aux ((FOLTVar(indx),s)::tss) = 
paulson@15347
   356
    let val vs = sorts_on_typs (FOLTVar(indx),s)
paulson@15347
   357
        val (vss,fss) = add_typs_aux tss
paulson@15347
   358
    in
paulson@15347
   359
        (ResLib.no_rep_app vs vss,fss)
paulson@15347
   360
    end
paulson@15347
   361
  | add_typs_aux ((FOLTFree(x),s)::tss) =
paulson@15347
   362
    let val fs = sorts_on_typs (FOLTFree(x),s)
paulson@15347
   363
        val (vss,fss) = add_typs_aux tss
paulson@15347
   364
    in
paulson@15347
   365
        (vss,ResLib.no_rep_app fs fss)
paulson@15347
   366
    end;
paulson@15347
   367
paulson@15347
   368
paulson@15347
   369
fun add_typs (Clause cls) = 
paulson@15347
   370
    let val ts = #types_sorts cls
paulson@15347
   371
    in
paulson@15347
   372
	add_typs_aux ts
paulson@15347
   373
    end;    
paulson@15347
   374
paulson@15347
   375
paulson@15347
   376
paulson@15347
   377
paulson@15347
   378
(** make axiom clauses, hypothesis clauses and conjecture clauses. **)
paulson@15347
   379
paulson@15347
   380
local 
paulson@15347
   381
    fun replace_dot "." = "_"
paulson@15347
   382
      | replace_dot c = c;
paulson@15347
   383
paulson@15347
   384
in
paulson@15347
   385
paulson@15347
   386
fun proper_ax_name ax_name = 
paulson@15347
   387
    let val chars = explode ax_name
paulson@15347
   388
    in
paulson@15347
   389
	implode (map replace_dot chars)
paulson@15347
   390
    end;
paulson@15347
   391
end;
paulson@15347
   392
paulson@15347
   393
fun make_axiom_clause_thm thm (name,number)=
paulson@15347
   394
    let val (lits,types_sorts) = literals_of_thm thm
paulson@15347
   395
	val cls_id = number
paulson@15347
   396
	val (tvar_lits,tfree_lits) = add_typs_aux types_sorts
paulson@15347
   397
	val ax_name = proper_ax_name name
paulson@15347
   398
    in 
paulson@15347
   399
	make_clause(cls_id,ax_name,Axiom,lits,types_sorts,tvar_lits,tfree_lits)
paulson@15347
   400
    end;
paulson@15347
   401
   
paulson@15347
   402
fun make_hypothesis_clause_thm thm =
paulson@15347
   403
    let val (lits,types_sorts) = literals_of_thm thm
paulson@15347
   404
	val cls_id = generate_id()
paulson@15347
   405
	val (tvar_lits,tfree_lits) = add_typs_aux types_sorts
paulson@15347
   406
    in
paulson@15347
   407
	make_clause(cls_id,"",Hypothesis,lits,types_sorts,tvar_lits,tfree_lits)
paulson@15347
   408
    end;
paulson@15347
   409
paulson@15347
   410
paulson@15347
   411
fun make_conjecture_clause_thm thm =
paulson@15347
   412
    let val (lits,types_sorts) = literals_of_thm thm
paulson@15347
   413
	val cls_id = generate_id()
paulson@15347
   414
	val (tvar_lits,tfree_lits) = add_typs_aux types_sorts
paulson@15347
   415
    in
paulson@15347
   416
	make_clause(cls_id,"",Conjecture,lits,types_sorts,tvar_lits,tfree_lits)
paulson@15347
   417
    end;
paulson@15347
   418
paulson@15347
   419
paulson@15347
   420
fun make_axiom_clause term (name,number)=
paulson@15347
   421
    let val (lits,types_sorts) = literals_of_term (term,([],[]))
paulson@15347
   422
	val cls_id = number
paulson@15347
   423
	val (tvar_lits,tfree_lits) = add_typs_aux types_sorts
paulson@15347
   424
	val ax_name = proper_ax_name name
paulson@15347
   425
    in 
paulson@15347
   426
	make_clause(cls_id,ax_name,Axiom,lits,types_sorts,tvar_lits,tfree_lits)
paulson@15347
   427
    end;
paulson@15347
   428
paulson@15347
   429
paulson@15347
   430
fun make_hypothesis_clause term =
paulson@15347
   431
    let val (lits,types_sorts) = literals_of_term (term,([],[]))
paulson@15347
   432
	val cls_id = generate_id()
paulson@15347
   433
	val (tvar_lits,tfree_lits) = add_typs_aux types_sorts
paulson@15347
   434
    in
paulson@15347
   435
	make_clause(cls_id,"",Hypothesis,lits,types_sorts,tvar_lits,tfree_lits)
paulson@15347
   436
    end;
paulson@15347
   437
    
paulson@15347
   438
 
paulson@15347
   439
fun make_conjecture_clause term =
paulson@15347
   440
    let val (lits,types_sorts) = literals_of_term (term,([],[]))
paulson@15347
   441
	val cls_id = generate_id()
paulson@15347
   442
	val (tvar_lits,tfree_lits) = add_typs_aux types_sorts
paulson@15347
   443
    in
paulson@15347
   444
	make_clause(cls_id,"",Conjecture,lits,types_sorts,tvar_lits,tfree_lits)
paulson@15347
   445
    end;
paulson@15347
   446
 
paulson@15347
   447
paulson@15347
   448
 
paulson@15347
   449
(**** Isabelle arities ****)
paulson@15347
   450
paulson@15347
   451
exception ARCLAUSE of string;
paulson@15347
   452
 
paulson@15347
   453
paulson@15347
   454
type class = string; 
paulson@15347
   455
type tcons = string; 
paulson@15347
   456
paulson@15347
   457
paulson@15347
   458
datatype arLit = TConsLit of bool * (class * tcons * string list) | TVarLit of bool * (class * string);
paulson@15347
   459
 
paulson@15347
   460
datatype arityClause =  
paulson@15347
   461
	 ArityClause of {clause_id: clause_id,
paulson@15347
   462
			 kind: kind,
paulson@15347
   463
			 conclLit: arLit,
paulson@15347
   464
			 premLits: arLit list};
paulson@15347
   465
paulson@15347
   466
paulson@15347
   467
fun get_TVars 0 = []
paulson@15347
   468
  | get_TVars n = ("T_" ^ (string_of_int n)) :: get_TVars (n-1);
paulson@15347
   469
paulson@15347
   470
paulson@15347
   471
paulson@15347
   472
fun pack_sort(_,[])  = raise ARCLAUSE("Empty Sort Found") 
paulson@15347
   473
  | pack_sort(tvar, [cls]) = [(make_type_class cls, tvar)] 
paulson@15347
   474
  | pack_sort(tvar, cls::srt) =  (make_type_class cls,tvar) :: (pack_sort(tvar, srt));
paulson@15347
   475
    
paulson@15347
   476
    
paulson@15347
   477
fun make_TVarLit (b,(cls,str)) = TVarLit(b,(cls,str));
paulson@15347
   478
fun make_TConsLit (b,(cls,tcons,tvars)) = TConsLit(b,(make_type_class cls,make_fixed_type_const tcons,tvars));
paulson@15347
   479
paulson@15347
   480
paulson@15347
   481
fun make_arity_clause (clause_id,kind,conclLit,premLits) =
paulson@15347
   482
    ArityClause {clause_id = clause_id, kind = kind, conclLit = conclLit, premLits = premLits};
paulson@15347
   483
paulson@15347
   484
paulson@15347
   485
fun make_axiom_arity_clause (tcons,(res,args)) =
paulson@15347
   486
     let val cls_id = generate_id()
paulson@15347
   487
	 val nargs = length args
paulson@15347
   488
	 val tvars = get_TVars nargs
paulson@15347
   489
	 val conclLit = make_TConsLit(true,(res,tcons,tvars))
paulson@15347
   490
         val tvars_srts = ResLib.zip tvars args
paulson@15347
   491
	 val tvars_srts' = ResLib.flat_noDup(map pack_sort tvars_srts)
paulson@15347
   492
         val false_tvars_srts' = ResLib.pair_ins false tvars_srts'
paulson@15347
   493
	 val premLits = map make_TVarLit false_tvars_srts'
paulson@15347
   494
     in
paulson@15347
   495
	 make_arity_clause (cls_id,Axiom,conclLit,premLits)
paulson@15347
   496
     end;
paulson@15347
   497
    
paulson@15347
   498
paulson@15347
   499
paulson@15347
   500
(**** Isabelle class relations ****)
paulson@15347
   501
paulson@15347
   502
paulson@15347
   503
datatype classrelClause = 
paulson@15347
   504
	 ClassrelClause of {clause_id: clause_id,
paulson@15347
   505
			    subclass: class,
skalberg@15531
   506
			    superclass: class option};
paulson@15347
   507
paulson@15347
   508
fun make_classrelClause (clause_id,subclass,superclass) =
paulson@15347
   509
    ClassrelClause {clause_id = clause_id,subclass = subclass, superclass = superclass};
paulson@15347
   510
paulson@15347
   511
paulson@15347
   512
fun make_axiom_classrelClause (subclass,superclass) =
paulson@15347
   513
    let val cls_id = generate_id()
paulson@15347
   514
	val sub = make_type_class subclass
skalberg@15531
   515
	val sup = case superclass of NONE => NONE 
skalberg@15531
   516
				   | SOME s => SOME (make_type_class s)
paulson@15347
   517
    in
paulson@15347
   518
	make_classrelClause(cls_id,sub,sup)
paulson@15347
   519
    end;
paulson@15347
   520
paulson@15347
   521
paulson@15347
   522
paulson@15347
   523
fun classrelClauses_of_aux (sub,[]) = []
skalberg@15531
   524
  | classrelClauses_of_aux (sub,(sup::sups)) = make_axiom_classrelClause(sub,SOME sup) :: (classrelClauses_of_aux (sub,sups));
paulson@15347
   525
paulson@15347
   526
paulson@15347
   527
fun classrelClauses_of (sub,sups) = 
skalberg@15531
   528
    case sups of [] => [make_axiom_classrelClause (sub,NONE)]
paulson@15347
   529
	       | _ => classrelClauses_of_aux (sub, sups);
paulson@15347
   530
paulson@15347
   531
paulson@15347
   532
paulson@15347
   533
(***** convert clauses to tptp format *****)
paulson@15347
   534
paulson@15347
   535
paulson@15347
   536
fun string_of_clauseID (Clause cls) = clause_prefix ^ (string_of_int (#clause_id cls));
paulson@15347
   537
paulson@15347
   538
paulson@15347
   539
fun string_of_kind (Clause cls) = name_of_kind (#kind cls);
paulson@15347
   540
paulson@15347
   541
fun string_of_axiomName (Clause cls) = #axiom_name cls;
paulson@15347
   542
paulson@15347
   543
fun string_of_term (UVar(x,_)) = x
paulson@15347
   544
  | string_of_term (Fun (name,typ,[])) = name
paulson@15347
   545
  | string_of_term (Fun (name,typ,terms)) = 
paulson@15347
   546
    let val terms' = map string_of_term terms
paulson@15347
   547
    in
paulson@15347
   548
        if (!keep_types) then name ^ (ResLib.list_to_string (typ :: terms'))
paulson@15347
   549
        else name ^ (ResLib.list_to_string terms')
paulson@15347
   550
    end;
paulson@15347
   551
paulson@15347
   552
paulson@15347
   553
paulson@15347
   554
(****!!!! Changed for typed equality !!!!****)
paulson@15347
   555
fun wrap_eq_type typ t = eq_typ_wrapper ^"(" ^ t ^ "," ^ typ ^ ")";
paulson@15347
   556
paulson@15347
   557
paulson@15347
   558
(****!!!! Changed for typed equality !!!!****)
paulson@15347
   559
(* Only need to wrap equality's arguments with "typeinfo" if the output clauses are typed && if we specifically ask for types to be included.   *)
paulson@15347
   560
fun string_of_equality (typ,terms) =
paulson@15347
   561
    let val [tstr1,tstr2] = map string_of_term terms
paulson@15347
   562
    in
paulson@15347
   563
	if ((!keep_types) andalso (!special_equal)) then 
paulson@15347
   564
	    "equal(" ^ (wrap_eq_type typ tstr1) ^ "," ^ (wrap_eq_type typ tstr2) ^ ")"
paulson@15347
   565
	else
paulson@15347
   566
	    "equal(" ^ tstr1 ^ "," ^ tstr2 ^ ")"
paulson@15347
   567
    end;
paulson@15347
   568
paulson@15347
   569
paulson@15347
   570
paulson@15347
   571
(* Changed for typed equality *)
paulson@15347
   572
(* before output the string of the predicate, check if the predicate corresponds to an equality or not. *)
paulson@15347
   573
fun string_of_predicate (Predicate("equal",typ,terms)) = string_of_equality(typ,terms)
paulson@15347
   574
  | string_of_predicate (Predicate(name,_,[])) = name 
paulson@15347
   575
  | string_of_predicate (Predicate(name,typ,terms)) = 
paulson@15347
   576
    let val terms_as_strings = map string_of_term terms
paulson@15347
   577
    in
paulson@15347
   578
        if (!keep_types) then name ^ (ResLib.list_to_string  (typ :: terms_as_strings))
paulson@15347
   579
        else name ^ (ResLib.list_to_string terms_as_strings) 
paulson@15347
   580
    end;
paulson@15347
   581
paulson@15347
   582
    
paulson@15347
   583
paulson@15347
   584
paulson@15347
   585
fun tptp_literal (Literal(pol,pred,tag)) =
paulson@15347
   586
    let val pred_string = string_of_predicate pred
paulson@15347
   587
	val tagged_pol = if (tag andalso !tagged) then (if pol then "+++" else "---")
paulson@15347
   588
                         else (if pol then "++" else "--")
paulson@15347
   589
     in
paulson@15347
   590
	tagged_pol ^ pred_string
paulson@15347
   591
    end;
paulson@15347
   592
paulson@15347
   593
paulson@15347
   594
paulson@15347
   595
fun tptp_of_typeLit (LTVar x) = "--" ^ x
paulson@15347
   596
  | tptp_of_typeLit (LTFree x) = "++" ^ x;
paulson@15347
   597
 
paulson@15347
   598
paulson@15347
   599
fun gen_tptp_cls (cls_id,ax_name,knd,lits) = 
paulson@15347
   600
    let val ax_str = (if ax_name = "" then "" else ("_" ^ ax_name))
paulson@15347
   601
    in
paulson@15347
   602
	"input_clause(" ^ cls_id ^ ax_str ^ "," ^ knd ^ "," ^ lits ^ ")."
paulson@15347
   603
    end;
paulson@15347
   604
paulson@15347
   605
paulson@15347
   606
fun gen_tptp_type_cls (cls_id,knd,tfree_lit,idx) = "input_clause(" ^ cls_id ^ "_tcs" ^ (string_of_int idx) ^ "," ^ knd ^ ",[" ^ tfree_lit ^ "]).";
paulson@15347
   607
paulson@15347
   608
paulson@15347
   609
fun tptp_clause_aux (Clause cls) = 
paulson@15347
   610
    let val lits = map tptp_literal (#literals cls)
paulson@15347
   611
	val tvar_lits_strs = if (!keep_types) then (map tptp_of_typeLit (#tvar_type_literals cls)) else []
paulson@15347
   612
	val tfree_lits = if (!keep_types) then (map tptp_of_typeLit (#tfree_type_literals cls)) else []
paulson@15347
   613
    in
paulson@15347
   614
	(tvar_lits_strs @ lits,tfree_lits)
paulson@15347
   615
    end; 
paulson@15347
   616
paulson@15608
   617
paulson@15347
   618
fun tptp_clause cls =
paulson@15347
   619
    let val (lits,tfree_lits) = tptp_clause_aux cls (*"lits" includes the typing assumptions (TVars)*)
paulson@15347
   620
	val cls_id = string_of_clauseID cls
paulson@15347
   621
	val ax_name = string_of_axiomName cls
paulson@15347
   622
	val knd = string_of_kind cls
paulson@15347
   623
	val lits_str = ResLib.list_to_string' lits
paulson@15347
   624
	val cls_str = gen_tptp_cls(cls_id,ax_name,knd,lits_str) 			fun typ_clss k [] = []
paulson@15347
   625
          | typ_clss k (tfree :: tfrees) = 
paulson@15347
   626
            (gen_tptp_type_cls(cls_id,knd,tfree,k)) ::  (typ_clss (k+1) tfrees)
paulson@15347
   627
    in 
paulson@15347
   628
	cls_str :: (typ_clss 0 tfree_lits)
paulson@15347
   629
    end;
paulson@15347
   630
paulson@15347
   631
paulson@15608
   632
fun clause2tptp cls =
paulson@15608
   633
    let val (lits,tfree_lits) = tptp_clause_aux cls (*"lits" includes the typing assumptions (TVars)*)
paulson@15608
   634
	val cls_id = string_of_clauseID cls
paulson@15608
   635
	val ax_name = string_of_axiomName cls
paulson@15608
   636
	val knd = string_of_kind cls
paulson@15608
   637
	val lits_str = ResLib.list_to_string' lits
paulson@15608
   638
	val cls_str = gen_tptp_cls(cls_id,ax_name,knd,lits_str) 
paulson@15608
   639
    in
paulson@15608
   640
	(cls_str,tfree_lits) 
paulson@15608
   641
    end;
paulson@15608
   642
paulson@15608
   643
paulson@15608
   644
fun tfree_clause tfree_lit = "input_clause(" ^ "tfree_tcs," ^ "conjecture" ^ ",[" ^ tfree_lit ^ "]).";
paulson@15608
   645
paulson@15347
   646
val delim = "\n";
paulson@15347
   647
val tptp_clauses2str = ResLib.list2str_sep delim; 
paulson@15347
   648
     
paulson@15347
   649
paulson@15347
   650
fun string_of_arClauseID (ArityClause arcls) = arclause_prefix ^ string_of_int(#clause_id arcls);
paulson@15347
   651
paulson@15347
   652
paulson@15347
   653
fun string_of_arLit (TConsLit(b,(c,t,args))) =
paulson@15347
   654
    let val pol = if b then "++" else "--"
paulson@15347
   655
	val  arg_strs = (case args of [] => "" | _ => ResLib.list_to_string args)
paulson@15347
   656
    in 
paulson@15347
   657
	pol ^ c ^ "(" ^ t ^ arg_strs ^ ")"
paulson@15347
   658
    end
paulson@15347
   659
  | string_of_arLit (TVarLit(b,(c,str))) =
paulson@15347
   660
    let val pol = if b then "++" else "--"
paulson@15347
   661
    in
paulson@15347
   662
	pol ^ c ^ "(" ^ str ^ ")"
paulson@15347
   663
    end;
paulson@15347
   664
    
paulson@15347
   665
paulson@15347
   666
fun string_of_conclLit (ArityClause arcls) = string_of_arLit (#conclLit arcls);
paulson@15347
   667
     
paulson@15347
   668
paulson@15347
   669
fun strings_of_premLits (ArityClause arcls) = map string_of_arLit (#premLits arcls);
paulson@15347
   670
		
paulson@15347
   671
paulson@15347
   672
fun string_of_arKind (ArityClause arcls) = name_of_kind(#kind arcls);
paulson@15347
   673
paulson@15347
   674
fun tptp_arity_clause arcls = 
paulson@15347
   675
    let val arcls_id = string_of_arClauseID arcls
paulson@15347
   676
	val concl_lit = string_of_conclLit arcls
paulson@15347
   677
	val prems_lits = strings_of_premLits arcls
paulson@15347
   678
	val knd = string_of_arKind arcls
paulson@15347
   679
	val all_lits = concl_lit :: prems_lits
paulson@15347
   680
    in
paulson@15452
   681
	"input_clause(" ^ arcls_id ^ "," ^ knd ^ "," ^ (ResLib.list_to_string' all_lits) ^ ")."
paulson@15347
   682
	
paulson@15347
   683
    end;
paulson@15347
   684
paulson@15347
   685
paulson@15347
   686
val clrelclause_prefix = "relcls_";
paulson@15347
   687
paulson@15347
   688
paulson@15347
   689
fun tptp_classrelLits sub sup = 
paulson@15347
   690
    let val tvar = "(T)"
paulson@15347
   691
    in 
skalberg@15531
   692
	case sup of NONE => "[++" ^ sub ^ tvar ^ "]"
skalberg@15531
   693
		  | (SOME supcls) =>  "[--" ^ sub ^ tvar ^ ",++" ^ supcls ^ tvar ^ "]"
paulson@15347
   694
    end;
paulson@15347
   695
paulson@15347
   696
paulson@15347
   697
fun tptp_classrelClause (ClassrelClause cls) =
paulson@15347
   698
    let val relcls_id = clrelclause_prefix ^ string_of_int(#clause_id cls)
paulson@15347
   699
	val sub = #subclass cls
paulson@15347
   700
	val sup = #superclass cls
paulson@15347
   701
	val lits = tptp_classrelLits sub sup
paulson@15347
   702
    in
paulson@15347
   703
	"input_clause(" ^ relcls_id ^ ",axiom," ^ lits ^ ")."
paulson@15347
   704
    end; 
paulson@15347
   705
    
paulson@15347
   706
end;