src/HOL/Tools/res_atp.ML
author wenzelm
Sun Mar 01 23:36:12 2009 +0100 (2009-03-01)
changeset 30190 479806475f3c
parent 30151 629f3a92863e
child 30242 aea5d7fa7ef5
permissions -rw-r--r--
use long names for old-style fold combinators;
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(*  Author: Jia Meng, Cambridge University Computer Laboratory, NICTA *)
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signature RES_ATP =
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sig
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  datatype mode = Auto | Fol | Hol
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  val tvar_classes_of_terms : term list -> string list
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  val tfree_classes_of_terms : term list -> string list
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  val type_consts_of_terms : theory -> term list -> string list
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  val write_problem_files : bool -> int -> bool
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    -> (int -> Path.T) -> Proof.context * thm list * thm
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    -> string list * ResHolClause.axiom_name Vector.vector list
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end;
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structure ResAtp: RES_ATP =
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struct
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(********************************************************************)
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(* some settings for both background automatic ATP calling procedure*)
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(* and also explicit ATP invocation methods                         *)
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(********************************************************************)
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(*Translation mode can be auto-detected, or forced to be first-order or higher-order*)
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datatype mode = Auto | Fol | Hol;
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val linkup_logic_mode = Auto;
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(*** background linkup ***)
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val run_blacklist_filter = true;
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(*** relevance filter parameters ***)
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val run_relevance_filter = true;
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val pass_mark = 0.5;
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val convergence = 3.2;    (*Higher numbers allow longer inference chains*)
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val follow_defs = false;  (*Follow definitions. Makes problems bigger.*)
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val include_all = true;
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val include_simpset = false;
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val include_claset = false;
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val include_atpset = true;
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(***************************************************************)
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(* Relevance Filtering                                         *)
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(***************************************************************)
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fun strip_Trueprop (Const("Trueprop",_) $ t) = t
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  | strip_Trueprop t = t;
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(*A surprising number of theorems contain only a few significant constants.
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  These include all induction rules, and other general theorems. Filtering
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  theorems in clause form reveals these complexities in the form of Skolem 
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  functions. If we were instead to filter theorems in their natural form,
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  some other method of measuring theorem complexity would become necessary.*)
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fun log_weight2 (x:real) = 1.0 + 2.0/Math.ln (x+1.0);
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(*The default seems best in practice. A constant function of one ignores
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  the constant frequencies.*)
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val weight_fn = log_weight2;
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(*Including equality in this list might be expected to stop rules like subset_antisym from
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  being chosen, but for some reason filtering works better with them listed. The
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  logical signs All, Ex, &, and --> are omitted because any remaining occurrrences
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  must be within comprehensions.*)
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val standard_consts = ["Trueprop","==>","all","==","op |","Not","op ="];
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(*** constants with types ***)
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(*An abstraction of Isabelle types*)
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datatype const_typ =  CTVar | CType of string * const_typ list
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(*Is the second type an instance of the first one?*)
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fun match_type (CType(con1,args1)) (CType(con2,args2)) = 
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      con1=con2 andalso match_types args1 args2
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  | match_type CTVar _ = true
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  | match_type _ CTVar = false
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and match_types [] [] = true
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  | match_types (a1::as1) (a2::as2) = match_type a1 a2 andalso match_types as1 as2;
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(*Is there a unifiable constant?*)
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fun uni_mem gctab (c,c_typ) =
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  case Symtab.lookup gctab c of
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      NONE => false
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    | SOME ctyps_list => exists (match_types c_typ) ctyps_list;
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(*Maps a "real" type to a const_typ*)
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fun const_typ_of (Type (c,typs)) = CType (c, map const_typ_of typs) 
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  | const_typ_of (TFree _) = CTVar
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  | const_typ_of (TVar _) = CTVar
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(*Pairs a constant with the list of its type instantiations (using const_typ)*)
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fun const_with_typ thy (c,typ) = 
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    let val tvars = Sign.const_typargs thy (c,typ)
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    in (c, map const_typ_of tvars) end
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    handle TYPE _ => (c,[]);   (*Variable (locale constant): monomorphic*)   
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(*Add a const/type pair to the table, but a [] entry means a standard connective,
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  which we ignore.*)
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fun add_const_typ_table ((c,ctyps), tab) =
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  Symtab.map_default (c, [ctyps]) (fn [] => [] | ctyps_list => insert (op =) ctyps ctyps_list) 
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    tab;
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(*Free variables are included, as well as constants, to handle locales*)
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fun add_term_consts_typs_rm thy (Const(c, typ), tab) =
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      add_const_typ_table (const_with_typ thy (c,typ), tab) 
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  | add_term_consts_typs_rm thy (Free(c, typ), tab) =
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      add_const_typ_table (const_with_typ thy (c,typ), tab) 
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  | add_term_consts_typs_rm thy (t $ u, tab) =
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      add_term_consts_typs_rm thy (t, add_term_consts_typs_rm thy (u, tab))
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  | add_term_consts_typs_rm thy (Abs(_,_,t), tab) = add_term_consts_typs_rm thy (t, tab)
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  | add_term_consts_typs_rm thy (_, tab) = tab;
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(*The empty list here indicates that the constant is being ignored*)
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fun add_standard_const (s,tab) = Symtab.update (s,[]) tab;
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val null_const_tab : const_typ list list Symtab.table = 
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    List.foldl add_standard_const Symtab.empty standard_consts;
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fun get_goal_consts_typs thy = List.foldl (add_term_consts_typs_rm thy) null_const_tab;
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(*Inserts a dummy "constant" referring to the theory name, so that relevance
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  takes the given theory into account.*)
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fun const_prop_of theory_const th =
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 if theory_const then
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  let val name = Context.theory_name (theory_of_thm th)
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      val t = Const (name ^ ". 1", HOLogic.boolT)
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  in  t $ prop_of th  end
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 else prop_of th;
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(**** Constant / Type Frequencies ****)
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(*A two-dimensional symbol table counts frequencies of constants. It's keyed first by
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  constant name and second by its list of type instantiations. For the latter, we need
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  a linear ordering on type const_typ list.*)
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local
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fun cons_nr CTVar = 0
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  | cons_nr (CType _) = 1;
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in
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fun const_typ_ord TU =
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  case TU of
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    (CType (a, Ts), CType (b, Us)) =>
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      (case fast_string_ord(a,b) of EQUAL => dict_ord const_typ_ord (Ts,Us) | ord => ord)
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  | (T, U) => int_ord (cons_nr T, cons_nr U);
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end;
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structure CTtab = TableFun(type key = const_typ list val ord = dict_ord const_typ_ord);
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fun count_axiom_consts theory_const thy ((thm,_), tab) = 
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  let fun count_const (a, T, tab) =
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	let val (c, cts) = const_with_typ thy (a,T)
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	in  (*Two-dimensional table update. Constant maps to types maps to count.*)
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	    Symtab.map_default (c, CTtab.empty) 
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	                       (CTtab.map_default (cts,0) (fn n => n+1)) tab
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	end
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      fun count_term_consts (Const(a,T), tab) = count_const(a,T,tab)
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	| count_term_consts (Free(a,T), tab) = count_const(a,T,tab)
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	| count_term_consts (t $ u, tab) =
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	    count_term_consts (t, count_term_consts (u, tab))
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	| count_term_consts (Abs(_,_,t), tab) = count_term_consts (t, tab)
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	| count_term_consts (_, tab) = tab
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  in  count_term_consts (const_prop_of theory_const thm, tab)  end;
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(**** Actual Filtering Code ****)
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(*The frequency of a constant is the sum of those of all instances of its type.*)
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fun const_frequency ctab (c, cts) =
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  let val pairs = CTtab.dest (the (Symtab.lookup ctab c))
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      fun add ((cts',m), n) = if match_types cts cts' then m+n else n
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  in  List.foldl add 0 pairs  end;
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(*Add in a constant's weight, as determined by its frequency.*)
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fun add_ct_weight ctab ((c,T), w) =
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  w + weight_fn (real (const_frequency ctab (c,T)));
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(*Relevant constants are weighted according to frequency, 
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  but irrelevant constants are simply counted. Otherwise, Skolem functions,
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  which are rare, would harm a clause's chances of being picked.*)
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fun clause_weight ctab gctyps consts_typs =
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    let val rel = filter (uni_mem gctyps) consts_typs
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        val rel_weight = List.foldl (add_ct_weight ctab) 0.0 rel
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    in
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	rel_weight / (rel_weight + real (length consts_typs - length rel))
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    end;
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(*Multiplies out to a list of pairs: 'a * 'b list -> ('a * 'b) list -> ('a * 'b) list*)
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fun add_expand_pairs (x,ys) xys = List.foldl (fn (y,acc) => (x,y)::acc) xys ys;
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fun consts_typs_of_term thy t = 
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  let val tab = add_term_consts_typs_rm thy (t, null_const_tab)
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  in  Symtab.fold add_expand_pairs tab []  end;
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fun pair_consts_typs_axiom theory_const thy (thm,name) =
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    ((thm,name), (consts_typs_of_term thy (const_prop_of theory_const thm)));
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exception ConstFree;
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fun dest_ConstFree (Const aT) = aT
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  | dest_ConstFree (Free aT) = aT
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  | dest_ConstFree _ = raise ConstFree;
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(*Look for definitions of the form f ?x1 ... ?xn = t, but not reversed.*)
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fun defines thy (thm,(name,n)) gctypes =
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    let val tm = prop_of thm
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	fun defs lhs rhs =
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            let val (rator,args) = strip_comb lhs
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		val ct = const_with_typ thy (dest_ConstFree rator)
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            in  forall is_Var args andalso uni_mem gctypes ct andalso
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                Term.add_vars rhs [] subset Term.add_vars lhs []
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            end
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	    handle ConstFree => false
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    in    
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	case tm of Const ("Trueprop",_) $ (Const("op =",_) $ lhs $ rhs) => 
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		   defs lhs rhs andalso
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		   (Output.debug (fn () => "Definition found: " ^ name ^ "_" ^ Int.toString n); true)
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		 | _ => false
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    end;
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type annotd_cls = (thm * (string * int)) * ((string * const_typ list) list);
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(*For a reverse sort, putting the largest values first.*)
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fun compare_pairs ((_,w1),(_,w2)) = Real.compare (w2,w1);
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(*Limit the number of new clauses, to prevent runaway acceptance.*)
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fun take_best max_new (newpairs : (annotd_cls*real) list) =
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  let val nnew = length newpairs
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  in
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    if nnew <= max_new then (map #1 newpairs, [])
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    else 
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      let val cls = sort compare_pairs newpairs
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          val accepted = List.take (cls, max_new)
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      in
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        Output.debug (fn () => ("Number of candidates, " ^ Int.toString nnew ^ 
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		       ", exceeds the limit of " ^ Int.toString (max_new)));
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        Output.debug (fn () => ("Effective pass mark: " ^ Real.toString (#2 (List.last accepted))));
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        Output.debug (fn () => "Actually passed: " ^
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          space_implode ", " (map (fn (((_,(name,_)),_),_) => name) accepted));
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	(map #1 accepted, map #1 (List.drop (cls, max_new)))
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      end
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  end;
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fun relevant_clauses max_new thy ctab p rel_consts =
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  let fun relevant ([],_) [] = [] : (thm * (string * int)) list  (*Nothing added this iteration*)
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	| relevant (newpairs,rejects) [] =
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	    let val (newrels,more_rejects) = take_best max_new newpairs
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		val new_consts = List.concat (map #2 newrels)
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		val rel_consts' = List.foldl add_const_typ_table rel_consts new_consts
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		val newp = p + (1.0-p) / convergence
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	    in
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              Output.debug (fn () => ("relevant this iteration: " ^ Int.toString (length newrels)));
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	       (map #1 newrels) @ 
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	       (relevant_clauses max_new thy ctab newp rel_consts' (more_rejects@rejects))
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	    end
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	| relevant (newrels,rejects) ((ax as (clsthm as (_,(name,n)),consts_typs)) :: axs) =
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	    let val weight = clause_weight ctab rel_consts consts_typs
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	    in
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	      if p <= weight orelse (follow_defs andalso defines thy clsthm rel_consts)
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	      then (Output.debug (fn () => (name ^ " clause " ^ Int.toString n ^ 
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	                                    " passes: " ^ Real.toString weight));
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	            relevant ((ax,weight)::newrels, rejects) axs)
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	      else relevant (newrels, ax::rejects) axs
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	    end
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    in  Output.debug (fn () => ("relevant_clauses, current pass mark = " ^ Real.toString p));
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        relevant ([],[]) 
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    end;
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fun relevance_filter max_new theory_const thy axioms goals = 
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 if run_relevance_filter andalso pass_mark >= 0.1
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 then
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  let val _ = Output.debug (fn () => "Start of relevance filtering");
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      val const_tab = List.foldl (count_axiom_consts theory_const thy) Symtab.empty axioms
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      val goal_const_tab = get_goal_consts_typs thy goals
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      val _ = Output.debug (fn () => ("Initial constants: " ^
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                                 space_implode ", " (Symtab.keys goal_const_tab)));
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      val rels = relevant_clauses max_new thy const_tab (pass_mark) 
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                   goal_const_tab  (map (pair_consts_typs_axiom theory_const thy) axioms)
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  in
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      Output.debug (fn () => ("Total relevant: " ^ Int.toString (length rels)));
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      rels
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  end
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 else axioms;
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(***************************************************************)
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(* Retrieving and filtering lemmas                             *)
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(***************************************************************)
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(*** white list and black list of lemmas ***)
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(*The rule subsetI is frequently omitted by the relevance filter. This could be theory data
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  or identified with ATPset (which however is too big currently)*)
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val whitelist = [subsetI];
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(*** retrieve lemmas from clasimpset and atpset, may filter them ***)
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(*Hashing to detect duplicate and variant clauses, e.g. from the [iff] attribute*)
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fun setinsert (x,s) = Symtab.update (x,()) s;
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(*Reject theorems with names like "List.filter.filter_list_def" or
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  "Accessible_Part.acc.defs", as these are definitions arising from packages.*)
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fun is_package_def a =
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  let val names = NameSpace.explode a
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  in
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     length names > 2 andalso
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     not (hd names = "local") andalso
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     String.isSuffix "_def" a  orelse  String.isSuffix "_defs" a
paulson@21690
   313
  end;
paulson@20757
   314
mengj@19768
   315
(** a hash function from Term.term to int, and also a hash table **)
mengj@19768
   316
val xor_words = List.foldl Word.xorb 0w0;
mengj@19768
   317
mengj@19768
   318
fun hashw_term ((Const(c,_)), w) = Polyhash.hashw_string (c,w)
paulson@20661
   319
  | hashw_term ((Free(a,_)), w) = Polyhash.hashw_string (a,w)
mengj@19768
   320
  | hashw_term ((Var(_,_)), w) = w
paulson@20661
   321
  | hashw_term ((Bound i), w) = Polyhash.hashw_int(i,w)
mengj@19768
   322
  | hashw_term ((Abs(_,_,t)), w) = hashw_term (t, w)
mengj@19768
   323
  | hashw_term ((P$Q), w) = hashw_term (Q, (hashw_term (P, w)));
mengj@19768
   324
paulson@21070
   325
fun hash_literal (Const("Not",_)$P) = Word.notb(hashw_term(P,0w0))
paulson@21070
   326
  | hash_literal P = hashw_term(P,0w0);
mengj@19768
   327
paulson@24958
   328
fun hash_term t = Word.toIntX (xor_words (map hash_literal (HOLogic.disjuncts (strip_Trueprop t))));
mengj@19768
   329
mengj@19768
   330
fun equal_thm (thm1,thm2) = Term.aconv(prop_of thm1, prop_of thm2);
paulson@20457
   331
paulson@22382
   332
exception HASH_CLAUSE;
paulson@22382
   333
mengj@19768
   334
(*Create a hash table for clauses, of the given size*)
mengj@19768
   335
fun mk_clause_table n =
paulson@20457
   336
      Polyhash.mkTable (hash_term o prop_of, equal_thm)
mengj@19768
   337
                       (n, HASH_CLAUSE);
mengj@19768
   338
paulson@20457
   339
(*Use a hash table to eliminate duplicates from xs. Argument is a list of
paulson@20868
   340
  (thm * (string * int)) tuples. The theorems are hashed into the table. *)
wenzelm@21588
   341
fun make_unique xs =
paulson@20868
   342
  let val ht = mk_clause_table 7000
paulson@20457
   343
  in
wenzelm@22130
   344
      Output.debug (fn () => ("make_unique gets " ^ Int.toString (length xs) ^ " clauses"));
wenzelm@21588
   345
      app (ignore o Polyhash.peekInsert ht) xs;
paulson@20868
   346
      Polyhash.listItems ht
paulson@20457
   347
  end;
mengj@19768
   348
paulson@20868
   349
(*Remove existing axiom clauses from the conjecture clauses, as this can dramatically
paulson@20868
   350
  boost an ATP's performance (for some reason)*)
wenzelm@21588
   351
fun subtract_cls c_clauses ax_clauses =
paulson@20868
   352
  let val ht = mk_clause_table 2200
paulson@20868
   353
      fun known x = isSome (Polyhash.peek ht x)
paulson@20868
   354
  in
wenzelm@21588
   355
      app (ignore o Polyhash.peekInsert ht) ax_clauses;
wenzelm@21588
   356
      filter (not o known) c_clauses
paulson@20868
   357
  end;
mengj@19768
   358
wenzelm@26675
   359
fun valid_facts facts =
wenzelm@26691
   360
  Facts.fold_static (fn (name, ths) =>
wenzelm@28477
   361
    if run_blacklist_filter andalso is_package_def name then I
wenzelm@26691
   362
    else
wenzelm@26691
   363
      let val xname = Facts.extern facts name in
wenzelm@26691
   364
        if NameSpace.is_hidden xname then I
wenzelm@26691
   365
        else cons (xname, filter_out ResAxioms.bad_for_atp ths)
wenzelm@26691
   366
      end) facts [];
wenzelm@26675
   367
paulson@21224
   368
fun all_valid_thms ctxt =
paulson@22382
   369
  let
wenzelm@26675
   370
    val global_facts = PureThy.facts_of (ProofContext.theory_of ctxt);
wenzelm@26278
   371
    val local_facts = ProofContext.facts_of ctxt;
wenzelm@26675
   372
  in valid_facts global_facts @ valid_facts local_facts end;
paulson@21224
   373
wenzelm@21588
   374
fun multi_name a (th, (n,pairs)) =
paulson@21224
   375
  (n+1, (a ^ "(" ^ Int.toString n ^ ")", th) :: pairs)
paulson@21224
   376
paulson@22382
   377
fun add_single_names ((a, []), pairs) = pairs
paulson@22382
   378
  | add_single_names ((a, [th]), pairs) = (a,th)::pairs
wenzelm@30190
   379
  | add_single_names ((a, ths), pairs) = #2 (List.foldl (multi_name a) (1,pairs) ths);
paulson@21431
   380
paulson@22382
   381
(*Ignore blacklisted basenames*)
wenzelm@21588
   382
fun add_multi_names ((a, ths), pairs) =
paulson@24854
   383
  if (Sign.base_name a) mem_string ResAxioms.multi_base_blacklist  then pairs
paulson@22382
   384
  else add_single_names ((a, ths), pairs);
paulson@21224
   385
paulson@21290
   386
fun is_multi (a, ths) = length ths > 1 orelse String.isSuffix ".axioms" a;
paulson@21290
   387
paulson@24286
   388
(*The single theorems go BEFORE the multiple ones. Blacklist is applied to all.*)
wenzelm@21588
   389
fun name_thm_pairs ctxt =
paulson@21290
   390
  let val (mults,singles) = List.partition is_multi (all_valid_thms ctxt)
paulson@24286
   391
      val ht = mk_clause_table 900   (*ht for blacklisted theorems*)
wenzelm@28477
   392
      fun blacklisted x = run_blacklist_filter andalso isSome (Polyhash.peek ht x)
paulson@24286
   393
  in
paulson@24286
   394
      app (fn th => ignore (Polyhash.peekInsert ht (th,()))) (ResBlacklist.get ctxt);
paulson@24286
   395
      filter (not o blacklisted o #2)
wenzelm@30190
   396
        (List.foldl add_single_names (List.foldl add_multi_names [] mults) singles)
paulson@24286
   397
  end;
paulson@21224
   398
wenzelm@26928
   399
fun check_named ("",th) = (warning ("No name for theorem " ^ Display.string_of_thm th); false)
paulson@21224
   400
  | check_named (_,th) = true;
paulson@19894
   401
wenzelm@26928
   402
fun display_thm (name,th) = Output.debug (fn () => name ^ ": " ^ Display.string_of_thm th);
paulson@22193
   403
mengj@19768
   404
(* get lemmas from claset, simpset, atpset and extra supplied rules *)
wenzelm@21588
   405
fun get_clasimp_atp_lemmas ctxt user_thms =
paulson@19894
   406
  let val included_thms =
wenzelm@28477
   407
        if include_all
wenzelm@21588
   408
        then (tap (fn ths => Output.debug
wenzelm@22130
   409
                     (fn () => ("Including all " ^ Int.toString (length ths) ^ " theorems")))
wenzelm@21588
   410
                  (name_thm_pairs ctxt))
wenzelm@21588
   411
        else
wenzelm@21588
   412
        let val claset_thms =
wenzelm@28477
   413
                if include_claset then ResAxioms.claset_rules_of ctxt
wenzelm@21588
   414
                else []
wenzelm@21588
   415
            val simpset_thms =
wenzelm@28477
   416
                if include_simpset then ResAxioms.simpset_rules_of ctxt
wenzelm@21588
   417
                else []
wenzelm@21588
   418
            val atpset_thms =
wenzelm@28477
   419
                if include_atpset then ResAxioms.atpset_rules_of ctxt
wenzelm@21588
   420
                else []
paulson@22193
   421
            val _ = (Output.debug (fn () => "ATP theorems: ");  app display_thm atpset_thms)
wenzelm@21588
   422
        in  claset_thms @ simpset_thms @ atpset_thms  end
wenzelm@21588
   423
      val user_rules = filter check_named
paulson@22382
   424
                         (map ResAxioms.pairname
paulson@24215
   425
                           (if null user_thms then whitelist else user_thms))
paulson@19894
   426
  in
paulson@21224
   427
      (filter check_named included_thms, user_rules)
paulson@19894
   428
  end;
mengj@19768
   429
paulson@21290
   430
(***************************************************************)
paulson@21290
   431
(* Type Classes Present in the Axiom or Conjecture Clauses     *)
paulson@21290
   432
(***************************************************************)
paulson@21290
   433
wenzelm@30190
   434
fun add_classes (sorts, cset) = List.foldl setinsert cset (List.concat sorts);
paulson@21290
   435
paulson@21290
   436
(*Remove this trivial type class*)
paulson@21290
   437
fun delete_type cset = Symtab.delete_safe "HOL.type" cset;
paulson@21290
   438
paulson@21290
   439
fun tvar_classes_of_terms ts =
wenzelm@29270
   440
  let val sorts_list = map (map #2 o OldTerm.term_tvars) ts
wenzelm@30190
   441
  in  Symtab.keys (delete_type (List.foldl add_classes Symtab.empty sorts_list))  end;
paulson@21290
   442
paulson@21290
   443
fun tfree_classes_of_terms ts =
wenzelm@29270
   444
  let val sorts_list = map (map #2 o OldTerm.term_tfrees) ts
wenzelm@30190
   445
  in  Symtab.keys (delete_type (List.foldl add_classes Symtab.empty sorts_list))  end;
paulson@20526
   446
paulson@21373
   447
(*fold type constructors*)
paulson@21373
   448
fun fold_type_consts f (Type (a, Ts)) x = fold (fold_type_consts f) Ts (f (a,x))
paulson@21373
   449
  | fold_type_consts f T x = x;
paulson@21373
   450
paulson@21373
   451
val add_type_consts_in_type = fold_type_consts setinsert;
paulson@21373
   452
paulson@21397
   453
(*Type constructors used to instantiate overloaded constants are the only ones needed.*)
paulson@21397
   454
fun add_type_consts_in_term thy =
paulson@21397
   455
  let val const_typargs = Sign.const_typargs thy
paulson@21397
   456
      fun add_tcs (Const cT) x = fold add_type_consts_in_type (const_typargs cT) x
paulson@21397
   457
        | add_tcs (Abs (_, T, u)) x = add_tcs u x
paulson@21397
   458
        | add_tcs (t $ u) x = add_tcs t (add_tcs u x)
paulson@21397
   459
        | add_tcs _ x = x
paulson@21397
   460
  in  add_tcs  end
paulson@21373
   461
paulson@21397
   462
fun type_consts_of_terms thy ts =
paulson@21397
   463
  Symtab.keys (fold (add_type_consts_in_term thy) ts Symtab.empty);
paulson@21373
   464
paulson@21373
   465
mengj@19194
   466
(***************************************************************)
mengj@19194
   467
(* ATP invocation methods setup                                *)
mengj@19194
   468
(***************************************************************)
mengj@19194
   469
paulson@20526
   470
(*Ensures that no higher-order theorems "leak out"*)
paulson@24958
   471
fun restrict_to_logic thy true cls = filter (Meson.is_fol_term thy o prop_of o fst) cls
paulson@24958
   472
  | restrict_to_logic thy false cls = cls;
paulson@20526
   473
paulson@21470
   474
(**** Predicates to detect unwanted clauses (prolific or likely to cause unsoundness) ****)
paulson@21470
   475
paulson@21470
   476
(** Too general means, positive equality literal with a variable X as one operand,
paulson@21470
   477
  when X does not occur properly in the other operand. This rules out clearly
paulson@21470
   478
  inconsistent clauses such as V=a|V=b, though it by no means guarantees soundness. **)
wenzelm@21588
   479
paulson@21470
   480
fun occurs ix =
paulson@21470
   481
    let fun occ(Var (jx,_)) = (ix=jx)
paulson@21470
   482
          | occ(t1$t2)      = occ t1 orelse occ t2
paulson@21470
   483
          | occ(Abs(_,_,t)) = occ t
paulson@21470
   484
          | occ _           = false
paulson@21470
   485
    in occ end;
paulson@21470
   486
paulson@21470
   487
fun is_recordtype T = not (null (RecordPackage.dest_recTs T));
paulson@21470
   488
paulson@21470
   489
(*Unwanted equalities include
paulson@21470
   490
  (1) those between a variable that does not properly occur in the second operand,
paulson@21470
   491
  (2) those between a variable and a record, since these seem to be prolific "cases" thms
wenzelm@21588
   492
*)
paulson@21470
   493
fun too_general_eqterms (Var (ix,T), t) = not (occurs ix t) orelse is_recordtype T
paulson@21470
   494
  | too_general_eqterms _ = false;
paulson@21470
   495
paulson@21470
   496
fun too_general_equality (Const ("op =", _) $ x $ y) =
paulson@21470
   497
      too_general_eqterms (x,y) orelse too_general_eqterms(y,x)
paulson@21470
   498
  | too_general_equality _ = false;
paulson@21470
   499
paulson@21470
   500
(* tautologous? *)
paulson@21470
   501
fun is_taut (Const ("Trueprop", _) $ Const ("True", _)) = true
paulson@21470
   502
  | is_taut _ = false;
paulson@21470
   503
wenzelm@29267
   504
fun has_typed_var tycons = exists_subterm
wenzelm@29267
   505
  (fn Var (_, Type (a, _)) => member (op =) tycons a | _ => false);
paulson@21431
   506
paulson@22217
   507
(*Clauses are forbidden to contain variables of these types. The typical reason is that
paulson@22217
   508
  they lead to unsoundness. Note that "unit" satisfies numerous equations like ?X=().
paulson@22217
   509
  The resulting clause will have no type constraint, yielding false proofs. Even "bool"
paulson@22217
   510
  leads to many unsound proofs, though (obviously) only for higher-order problems.*)
paulson@24215
   511
val unwanted_types = ["Product_Type.unit","bool"];
paulson@22217
   512
paulson@21470
   513
fun unwanted t =
paulson@24958
   514
  is_taut t orelse has_typed_var unwanted_types t orelse
paulson@24958
   515
  forall too_general_equality (HOLogic.disjuncts (strip_Trueprop t));
paulson@21470
   516
paulson@21431
   517
(*Clauses containing variables of type "unit" or "bool" are unlikely to be useful and
paulson@21431
   518
  likely to lead to unsound proofs.*)
paulson@22217
   519
fun remove_unwanted_clauses cls = filter (not o unwanted o prop_of o fst) cls;
paulson@21431
   520
wenzelm@28477
   521
(* TODO: problem file for *one* subgoal would be sufficient *)
wenzelm@28477
   522
(*Write out problem files for each subgoal.
wenzelm@28477
   523
  Argument probfile generates filenames from subgoal-number
wenzelm@28477
   524
  Arguments max_new and theory_const are booleans controlling relevance_filter
wenzelm@28477
   525
    (necessary for different provers)
immler@30151
   526
*)
immler@30151
   527
fun write_problem_files dfg max_new theory_const probfile (ctxt, chain_ths, th) =
wenzelm@28477
   528
  let val goals = Thm.prems_of th
paulson@17717
   529
      val thy = ProofContext.theory_of ctxt
paulson@20457
   530
      fun get_neg_subgoals [] _ = []
wenzelm@22865
   531
        | get_neg_subgoals (gl::gls) n = #1 (ResAxioms.neg_conjecture_clauses th n) ::
paulson@21999
   532
                                         get_neg_subgoals gls (n+1)
paulson@20526
   533
      val goal_cls = get_neg_subgoals goals 1
paulson@25243
   534
                     handle THM ("assume: variables", _, _) => 
paulson@25243
   535
                       error "Sledgehammer: Goal contains type variables (TVars)"                       
wenzelm@28477
   536
      val isFO = case linkup_logic_mode of
paulson@24958
   537
			  Auto => forall (Meson.is_fol_term thy) (map prop_of (List.concat goal_cls))
paulson@24958
   538
			| Fol => true
paulson@24958
   539
			| Hol => false
paulson@24546
   540
      val (included_thms,white_thms) = get_clasimp_atp_lemmas ctxt chain_ths
wenzelm@27178
   541
      val included_cls = included_thms |> ResAxioms.cnf_rules_pairs thy |> make_unique
paulson@24958
   542
                                       |> restrict_to_logic thy isFO
paulson@21470
   543
                                       |> remove_unwanted_clauses
wenzelm@27178
   544
      val white_cls = ResAxioms.cnf_rules_pairs thy white_thms
paulson@20526
   545
      (*clauses relevant to goal gl*)
wenzelm@28477
   546
      val axcls_list = map (fn ngcls => white_cls @ relevance_filter max_new theory_const thy included_cls (map prop_of ngcls)) goal_cls
immler@30151
   547
      val writer = if dfg then ResHolClause.dfg_write_file else ResHolClause.tptp_write_file
paulson@20526
   548
      fun write_all [] [] _ = []
wenzelm@21588
   549
        | write_all (ccls::ccls_list) (axcls::axcls_list) k =
wenzelm@28477
   550
            let val fname = File.platform_path (probfile k)
paulson@20868
   551
                val axcls = make_unique axcls
wenzelm@26928
   552
                val _ = app (fn th => Output.debug (fn _ => Display.string_of_thm th)) ccls
paulson@20868
   553
                val ccls = subtract_cls ccls axcls
wenzelm@26928
   554
                val _ = app (fn th => Output.debug (fn _ => Display.string_of_thm th)) ccls
paulson@21431
   555
                val ccltms = map prop_of ccls
paulson@21373
   556
                and axtms = map (prop_of o #1) axcls
paulson@21431
   557
                val subs = tfree_classes_of_terms ccltms
paulson@21431
   558
                and supers = tvar_classes_of_terms axtms
paulson@21431
   559
                and tycons = type_consts_of_terms thy (ccltms@axtms)
paulson@21290
   560
                (*TFrees in conjecture clauses; TVars in axiom clauses*)
immler@30151
   561
                val (supers',arity_clauses) = ResClause.make_arity_clauses_dfg dfg thy tycons supers
paulson@22645
   562
                val classrel_clauses = ResClause.make_classrel_clauses thy subs supers'
paulson@24958
   563
                val clnames = writer thy isFO ccls fname (axcls,classrel_clauses,arity_clauses) []
paulson@21888
   564
                val thm_names = Vector.fromList clnames
paulson@20870
   565
            in  (thm_names,fname) :: write_all ccls_list axcls_list (k+1)  end
paulson@20870
   566
      val (thm_names_list, filenames) = ListPair.unzip (write_all goal_cls axcls_list 1)
mengj@19194
   567
  in
paulson@20870
   568
      (filenames, thm_names_list)
mengj@19194
   569
  end;
quigley@15644
   570
paulson@15347
   571
end;