src/HOL/Tools/Sledgehammer/sledgehammer_fact_filter.ML
author blanchet
Sat Jun 05 16:39:23 2010 +0200 (2010-06-05 ago)
changeset 37347 635425a442e8
parent 37345 4402a2bfa204
child 37348 3ad1bfd2de46
permissions -rw-r--r--
show more respect for user-specified facts, even if they could lead to unsound proofs + don't throw away "unsound" theorems in "full_type" mode, since they are then sound
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(*  Title:      HOL/Tools/Sledgehammer/sledgehammer_fact_filter.ML
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    Author:     Jia Meng, Cambridge University Computer Laboratory, NICTA
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    Author:     Jasmin Blanchette, TU Muenchen
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*)
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signature SLEDGEHAMMER_FACT_FILTER =
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sig
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  type classrel_clause = Sledgehammer_FOL_Clause.classrel_clause
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  type arity_clause = Sledgehammer_FOL_Clause.arity_clause
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  type axiom_name = Sledgehammer_HOL_Clause.axiom_name
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  type hol_clause = Sledgehammer_HOL_Clause.hol_clause
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  type hol_clause_id = Sledgehammer_HOL_Clause.hol_clause_id
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  type relevance_override =
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    {add: Facts.ref list,
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     del: Facts.ref list,
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     only: bool}
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  val name_thms_pair_from_ref :
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    Proof.context -> thm list -> Facts.ref -> string * thm list
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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 relevant_facts :
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    bool -> bool -> real -> real -> bool -> int -> bool -> relevance_override
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    -> Proof.context * (thm list * 'a) -> thm list
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    -> (thm * (string * int)) list
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  val prepare_clauses :
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    bool -> thm list -> thm list -> (thm * (axiom_name * hol_clause_id)) list
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    -> (thm * (axiom_name * hol_clause_id)) list -> theory
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    -> axiom_name vector
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       * (hol_clause list * hol_clause list * hol_clause list *
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          hol_clause list * classrel_clause list * arity_clause list)
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end;
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structure Sledgehammer_Fact_Filter : SLEDGEHAMMER_FACT_FILTER =
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struct
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open Sledgehammer_FOL_Clause
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open Sledgehammer_Fact_Preprocessor
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open Sledgehammer_HOL_Clause
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type relevance_override =
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  {add: Facts.ref list,
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   del: Facts.ref list,
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   only: bool}
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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 =
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  [@{const_name Trueprop}, @{const_name "==>"}, @{const_name all},
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   @{const_name "=="}, @{const_name "op |"}, @{const_name Not},
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   @{const_name "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 _ (_, 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_relevant th =
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 if theory_relevant 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 = Table(type key = const_typ list val ord = dict_ord const_typ_ord);
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fun count_axiom_consts theory_relevant 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_relevant 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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  CTtab.fold (fn (cts', m) => match_types cts cts' ? Integer.add m)
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             (the (Symtab.lookup ctab c)) 0
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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_relevant thy (p as (thm, _)) =
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  (p, (consts_typs_of_term thy (const_prop_of theory_relevant 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 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
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              forall is_Var args andalso uni_mem gctypes ct andalso
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                subset (op =) (Term.add_vars rhs [], 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
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          @{const Trueprop} $ (Const (@{const_name "op ="}, _) $ lhs $ rhs) => 
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            defs lhs rhs 
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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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        trace_msg (fn () => ("Number of candidates, " ^ Int.toString nnew ^ 
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                       ", exceeds the limit of " ^ Int.toString (max_new)));
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        trace_msg (fn () => ("Effective pass mark: " ^ Real.toString (#2 (List.last accepted))));
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        trace_msg (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 cnf_for_facts ctxt =
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  let val thy = ProofContext.theory_of ctxt in
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    maps (maps (cnf_axiom thy) o ProofContext.get_fact ctxt)
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  end
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fun relevant_clauses ctxt relevance_convergence defs_relevant max_new
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                     (relevance_override as {add, del, ...}) ctab =
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  let
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    val thy = ProofContext.theory_of ctxt
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    val add_thms = cnf_for_facts ctxt add
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    val del_thms = cnf_for_facts ctxt del
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    fun iter threshold rel_consts =
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      let
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        fun relevant ([], _) [] = []  (* Nothing added this iteration *)
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          | relevant (newpairs, rejects) [] =
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            let
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              val (newrels, more_rejects) = take_best max_new newpairs
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              val new_consts = maps #2 newrels
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              val rel_consts' = List.foldl add_const_typ_table rel_consts new_consts
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              val threshold =
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                threshold + (1.0 - threshold) / relevance_convergence
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            in
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              trace_msg (fn () => "relevant this iteration: " ^
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                                  Int.toString (length newrels));
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              map #1 newrels @ iter threshold rel_consts'
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                  (more_rejects @ rejects)
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            end
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          | relevant (newrels, rejects)
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                     ((ax as (clsthm as (thm, (name, n)), consts_typs)) :: axs) =
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            let
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              val weight = if member Thm.eq_thm add_thms thm then 1.0
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                           else if member Thm.eq_thm del_thms thm then 0.0
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                           else clause_weight ctab rel_consts consts_typs
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            in
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              if weight >= threshold orelse
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                 (defs_relevant andalso defines thy (#1 clsthm) rel_consts) then
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                (trace_msg (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
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                relevant (newrels, ax :: rejects) axs
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            end
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        in
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          trace_msg (fn () => "relevant_clauses, current threshold: " ^
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                              Real.toString threshold);
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          relevant ([], [])
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        end
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  in iter end
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fun relevance_filter ctxt relevance_threshold relevance_convergence
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                     defs_relevant max_new theory_relevant relevance_override
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                     thy axioms goals = 
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  if relevance_threshold > 0.0 then
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    let
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      val const_tab = List.foldl (count_axiom_consts theory_relevant thy)
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   313
                                 Symtab.empty axioms
paulson@24287
   314
      val goal_const_tab = get_goal_consts_typs thy goals
blanchet@35963
   315
      val _ =
blanchet@35963
   316
        trace_msg (fn () => "Initial constants: " ^
blanchet@35963
   317
                            commas (Symtab.keys goal_const_tab))
blanchet@35963
   318
      val relevant =
blanchet@36922
   319
        relevant_clauses ctxt relevance_convergence defs_relevant max_new
blanchet@37344
   320
                         relevance_override const_tab relevance_threshold
blanchet@36922
   321
                         goal_const_tab
blanchet@36220
   322
                         (map (pair_consts_typs_axiom theory_relevant thy)
blanchet@36220
   323
                              axioms)
blanchet@35963
   324
    in
blanchet@35963
   325
      trace_msg (fn () => "Total relevant: " ^ Int.toString (length relevant));
blanchet@35963
   326
      relevant
blanchet@35963
   327
    end
blanchet@35963
   328
  else
blanchet@35963
   329
    axioms;
paulson@24287
   330
paulson@24287
   331
(***************************************************************)
mengj@19768
   332
(* Retrieving and filtering lemmas                             *)
mengj@19768
   333
(***************************************************************)
mengj@19768
   334
paulson@33022
   335
(*** retrieve lemmas and filter them ***)
mengj@19768
   336
mengj@19768
   337
(*Hashing to detect duplicate and variant clauses, e.g. from the [iff] attribute*)
mengj@19768
   338
paulson@22382
   339
fun setinsert (x,s) = Symtab.update (x,()) s;
mengj@19768
   340
paulson@20757
   341
(*Reject theorems with names like "List.filter.filter_list_def" or
paulson@21690
   342
  "Accessible_Part.acc.defs", as these are definitions arising from packages.*)
paulson@20757
   343
fun is_package_def a =
wenzelm@30364
   344
  let val names = Long_Name.explode a
paulson@21690
   345
  in
paulson@21690
   346
     length names > 2 andalso
paulson@21690
   347
     not (hd names = "local") andalso
paulson@21690
   348
     String.isSuffix "_def" a  orelse  String.isSuffix "_defs" a
paulson@21690
   349
  end;
paulson@20757
   350
blanchet@36061
   351
fun mk_clause_table xs =
blanchet@36061
   352
  fold (Termtab.update o `(prop_of o fst)) xs Termtab.empty
paulson@22382
   353
blanchet@36061
   354
fun make_unique xs =
blanchet@36061
   355
  Termtab.fold (cons o snd) (mk_clause_table xs) []
mengj@19768
   356
blanchet@36061
   357
(* Remove existing axiom clauses from the conjecture clauses, as this can
blanchet@36061
   358
   dramatically boost an ATP's performance (for some reason). *)
blanchet@36061
   359
fun subtract_cls ax_clauses =
blanchet@36061
   360
  filter_out (Termtab.defined (mk_clause_table ax_clauses) o prop_of)
mengj@19768
   361
blanchet@37345
   362
fun all_name_thms_pairs respect_no_atp ctxt chained_ths =
paulson@22382
   363
  let
wenzelm@26675
   364
    val global_facts = PureThy.facts_of (ProofContext.theory_of ctxt);
wenzelm@26278
   365
    val local_facts = ProofContext.facts_of ctxt;
wenzelm@33641
   366
    val full_space =
wenzelm@33641
   367
      Name_Space.merge (Facts.space_of global_facts, Facts.space_of local_facts);
wenzelm@33641
   368
wenzelm@33641
   369
    fun valid_facts facts =
wenzelm@33641
   370
      (facts, []) |-> Facts.fold_static (fn (name, ths0) =>
wenzelm@33641
   371
        let
wenzelm@33641
   372
          fun check_thms a =
wenzelm@33641
   373
            (case try (ProofContext.get_thms ctxt) a of
wenzelm@33641
   374
              NONE => false
wenzelm@33641
   375
            | SOME ths1 => Thm.eq_thms (ths0, ths1));
wenzelm@33641
   376
wenzelm@33641
   377
          val name1 = Facts.extern facts name;
wenzelm@33641
   378
          val name2 = Name_Space.extern full_space name;
blanchet@37347
   379
          val ths = filter_out is_bad_for_atp ths0;
wenzelm@33641
   380
        in
blanchet@36968
   381
          if Facts.is_concealed facts name orelse
blanchet@36227
   382
             (respect_no_atp andalso is_package_def name) then
blanchet@36227
   383
            I
blanchet@36227
   384
          else case find_first check_thms [name1, name2, name] of
blanchet@36227
   385
            NONE => I
blanchet@37171
   386
          | SOME name' =>
blanchet@37171
   387
            cons (name' |> forall (member Thm.eq_thm chained_ths) ths
blanchet@37171
   388
                           ? prefix chained_prefix, ths)
wenzelm@33641
   389
        end);
wenzelm@26675
   390
  in valid_facts global_facts @ valid_facts local_facts end;
paulson@21224
   391
wenzelm@33309
   392
fun multi_name a th (n, pairs) =
wenzelm@33309
   393
  (n + 1, (a ^ "(" ^ Int.toString n ^ ")", th) :: pairs);
paulson@21224
   394
wenzelm@33309
   395
fun add_single_names (a, []) pairs = pairs
wenzelm@33309
   396
  | add_single_names (a, [th]) pairs = (a, th) :: pairs
wenzelm@33309
   397
  | add_single_names (a, ths) pairs = #2 (fold (multi_name a) ths (1, pairs));
paulson@21431
   398
paulson@22382
   399
(*Ignore blacklisted basenames*)
wenzelm@33309
   400
fun add_multi_names (a, ths) pairs =
haftmann@36692
   401
  if member (op =) multi_base_blacklist (Long_Name.base_name a) then pairs
wenzelm@33309
   402
  else add_single_names (a, ths) pairs;
paulson@21224
   403
paulson@21290
   404
fun is_multi (a, ths) = length ths > 1 orelse String.isSuffix ".axioms" a;
paulson@21290
   405
blanchet@36550
   406
(* The single-name theorems go after the multiple-name ones, so that single
blanchet@36550
   407
   names are preferred when both are available. *)
blanchet@37344
   408
fun name_thm_pairs respect_no_atp ctxt name_thms_pairs =
wenzelm@33309
   409
  let
blanchet@37344
   410
    val (mults, singles) = List.partition is_multi name_thms_pairs
blanchet@36550
   411
    val ps = [] |> fold add_single_names singles
blanchet@36550
   412
                |> fold add_multi_names mults
blanchet@36060
   413
  in ps |> respect_no_atp ? filter_out (No_ATPs.member ctxt o snd) end;
paulson@21224
   414
blanchet@37344
   415
fun is_named ("", th) =
blanchet@37344
   416
    (warning ("No name for theorem " ^
blanchet@37344
   417
              Display.string_of_thm_without_context th); false)
blanchet@37344
   418
  | is_named _ = true
blanchet@37344
   419
fun checked_name_thm_pairs respect_no_atp ctxt =
blanchet@37344
   420
  name_thm_pairs respect_no_atp ctxt
blanchet@37344
   421
  #> tap (fn ps => trace_msg
blanchet@37344
   422
                        (fn () => ("Considering " ^ Int.toString (length ps) ^
blanchet@37344
   423
                                   " theorems")))
blanchet@37344
   424
  #> filter is_named
paulson@19894
   425
blanchet@37344
   426
fun name_thms_pair_from_ref ctxt chained_ths xref =
blanchet@37344
   427
  let
blanchet@37344
   428
    val ths = ProofContext.get_fact ctxt xref
blanchet@37344
   429
    val name = Facts.string_of_ref xref
blanchet@37344
   430
               |> forall (member Thm.eq_thm chained_ths) ths
blanchet@37344
   431
                  ? prefix chained_prefix
blanchet@37344
   432
  in (name, ths) end
blanchet@37344
   433
mengj@19768
   434
paulson@21290
   435
(***************************************************************)
paulson@21290
   436
(* Type Classes Present in the Axiom or Conjecture Clauses     *)
paulson@21290
   437
(***************************************************************)
paulson@21290
   438
wenzelm@32952
   439
fun add_classes (sorts, cset) = List.foldl setinsert cset (flat sorts);
paulson@21290
   440
paulson@21290
   441
(*Remove this trivial type class*)
blanchet@35865
   442
fun delete_type cset = Symtab.delete_safe (the_single @{sort HOL.type}) cset;
paulson@21290
   443
paulson@21290
   444
fun tvar_classes_of_terms ts =
wenzelm@29270
   445
  let val sorts_list = map (map #2 o OldTerm.term_tvars) ts
wenzelm@30190
   446
  in  Symtab.keys (delete_type (List.foldl add_classes Symtab.empty sorts_list))  end;
paulson@21290
   447
paulson@21290
   448
fun tfree_classes_of_terms ts =
wenzelm@29270
   449
  let val sorts_list = map (map #2 o OldTerm.term_tfrees) ts
wenzelm@30190
   450
  in  Symtab.keys (delete_type (List.foldl add_classes Symtab.empty sorts_list))  end;
paulson@20526
   451
paulson@21373
   452
(*fold type constructors*)
paulson@21373
   453
fun fold_type_consts f (Type (a, Ts)) x = fold (fold_type_consts f) Ts (f (a,x))
wenzelm@32994
   454
  | fold_type_consts _ _ x = x;
paulson@21373
   455
paulson@21373
   456
val add_type_consts_in_type = fold_type_consts setinsert;
paulson@21373
   457
paulson@21397
   458
(*Type constructors used to instantiate overloaded constants are the only ones needed.*)
paulson@21397
   459
fun add_type_consts_in_term thy =
paulson@21397
   460
  let val const_typargs = Sign.const_typargs thy
paulson@21397
   461
      fun add_tcs (Const cT) x = fold add_type_consts_in_type (const_typargs cT) x
wenzelm@32994
   462
        | add_tcs (Abs (_, _, u)) x = add_tcs u x
paulson@21397
   463
        | add_tcs (t $ u) x = add_tcs t (add_tcs u x)
paulson@21397
   464
        | add_tcs _ x = x
paulson@21397
   465
  in  add_tcs  end
paulson@21373
   466
paulson@21397
   467
fun type_consts_of_terms thy ts =
paulson@21397
   468
  Symtab.keys (fold (add_type_consts_in_term thy) ts Symtab.empty);
paulson@21373
   469
paulson@21373
   470
mengj@19194
   471
(***************************************************************)
mengj@19194
   472
(* ATP invocation methods setup                                *)
mengj@19194
   473
(***************************************************************)
mengj@19194
   474
paulson@20526
   475
(*Ensures that no higher-order theorems "leak out"*)
paulson@24958
   476
fun restrict_to_logic thy true cls = filter (Meson.is_fol_term thy o prop_of o fst) cls
paulson@24958
   477
  | restrict_to_logic thy false cls = cls;
paulson@20526
   478
blanchet@37347
   479
(**** Predicates to detect unwanted clauses (prolific or likely to cause
blanchet@37347
   480
      unsoundness) ****)
paulson@21470
   481
paulson@21470
   482
(** Too general means, positive equality literal with a variable X as one operand,
paulson@21470
   483
  when X does not occur properly in the other operand. This rules out clearly
paulson@21470
   484
  inconsistent clauses such as V=a|V=b, though it by no means guarantees soundness. **)
wenzelm@21588
   485
paulson@21470
   486
fun occurs ix =
paulson@21470
   487
    let fun occ(Var (jx,_)) = (ix=jx)
paulson@21470
   488
          | occ(t1$t2)      = occ t1 orelse occ t2
paulson@21470
   489
          | occ(Abs(_,_,t)) = occ t
paulson@21470
   490
          | occ _           = false
paulson@21470
   491
    in occ end;
paulson@21470
   492
haftmann@31723
   493
fun is_recordtype T = not (null (Record.dest_recTs T));
paulson@21470
   494
paulson@21470
   495
(*Unwanted equalities include
paulson@21470
   496
  (1) those between a variable that does not properly occur in the second operand,
paulson@21470
   497
  (2) those between a variable and a record, since these seem to be prolific "cases" thms
wenzelm@21588
   498
*)
paulson@21470
   499
fun too_general_eqterms (Var (ix,T), t) = not (occurs ix t) orelse is_recordtype T
paulson@21470
   500
  | too_general_eqterms _ = false;
paulson@21470
   501
blanchet@35865
   502
fun too_general_equality (Const (@{const_name "op ="}, _) $ x $ y) =
paulson@21470
   503
      too_general_eqterms (x,y) orelse too_general_eqterms(y,x)
paulson@21470
   504
  | too_general_equality _ = false;
paulson@21470
   505
wenzelm@29267
   506
fun has_typed_var tycons = exists_subterm
wenzelm@29267
   507
  (fn Var (_, Type (a, _)) => member (op =) tycons a | _ => false);
paulson@21431
   508
blanchet@37347
   509
(* Clauses are forbidden to contain variables of these types. The typical reason
blanchet@37347
   510
   is that they lead to unsoundness. Note that "unit" satisfies numerous
blanchet@37347
   511
   equations like "?x = ()". The resulting clause will have no type constraint,
blanchet@37347
   512
   yielding false proofs. Even "bool" leads to many unsound proofs, though only
blanchet@37347
   513
   for higher-order problems. *)
blanchet@37347
   514
val dangerous_types = [@{type_name unit}, @{type_name bool}];
paulson@22217
   515
blanchet@37347
   516
(* Clauses containing variables of type "unit" or "bool" or of the form
blanchet@37347
   517
   "?x = A | ?x = B | ?x = C" are likely to lead to unsound proofs if types are
blanchet@37347
   518
   omitted. *)
blanchet@37347
   519
fun is_dangerous_term _ @{prop True} = true
blanchet@37347
   520
  | is_dangerous_term full_types t =
blanchet@37347
   521
    not full_types andalso 
blanchet@37347
   522
    (has_typed_var dangerous_types t orelse
blanchet@37347
   523
     forall too_general_equality (HOLogic.disjuncts (strip_Trueprop t)))
paulson@21470
   524
blanchet@37347
   525
fun is_dangerous_theorem full_types add_thms thm =
blanchet@37347
   526
  not (member Thm.eq_thm add_thms thm) andalso
blanchet@37347
   527
  is_dangerous_term full_types (prop_of thm)
blanchet@37347
   528
blanchet@37347
   529
fun remove_dangerous_clauses full_types add_thms =
blanchet@37347
   530
  filter_out (is_dangerous_theorem full_types add_thms o fst)
paulson@21431
   531
blanchet@36473
   532
fun is_first_order thy = forall (Meson.is_fol_term thy) o map prop_of
immler@30536
   533
blanchet@37347
   534
fun relevant_facts full_types respect_no_atp relevance_threshold
blanchet@37347
   535
                   relevance_convergence defs_relevant max_new theory_relevant
blanchet@37347
   536
                   (relevance_override as {add, del, only})
blanchet@37347
   537
                   (ctxt, (chained_ths, _)) goal_cls =
blanchet@36185
   538
  if (only andalso null add) orelse relevance_threshold > 1.0 then
blanchet@36185
   539
    []
blanchet@36185
   540
  else
blanchet@36185
   541
    let
blanchet@36185
   542
      val thy = ProofContext.theory_of ctxt
blanchet@37347
   543
      val add_thms = cnf_for_facts ctxt add
blanchet@37345
   544
      val has_override = not (null add) orelse not (null del)
blanchet@36473
   545
      val is_FO = is_first_order thy goal_cls
blanchet@37345
   546
      val axioms =
blanchet@37344
   547
        checked_name_thm_pairs respect_no_atp ctxt
blanchet@37344
   548
            (if only then map (name_thms_pair_from_ref ctxt chained_ths) add
blanchet@37345
   549
             else all_name_thms_pairs respect_no_atp ctxt chained_ths)
blanchet@37345
   550
        |> cnf_rules_pairs thy
blanchet@37345
   551
        |> not has_override ? make_unique
blanchet@36185
   552
        |> restrict_to_logic thy is_FO
blanchet@37347
   553
        |> not only ? remove_dangerous_clauses full_types add_thms
blanchet@36185
   554
    in
blanchet@36922
   555
      relevance_filter ctxt relevance_threshold relevance_convergence
blanchet@36922
   556
                       defs_relevant max_new theory_relevant relevance_override
blanchet@37345
   557
                       thy axioms (map prop_of goal_cls)
blanchet@37345
   558
      |> has_override ? make_unique
blanchet@36185
   559
    end
immler@30536
   560
immler@31752
   561
(* prepare for passing to writer,
immler@31752
   562
   create additional clauses based on the information from extra_cls *)
blanchet@37171
   563
fun prepare_clauses dfg goal_cls chained_ths axcls extra_cls thy =
immler@31409
   564
  let
blanchet@36473
   565
    val is_FO = is_first_order thy goal_cls
blanchet@36061
   566
    val ccls = subtract_cls extra_cls goal_cls
blanchet@35865
   567
    val _ = app (fn th => trace_msg (fn _ => Display.string_of_thm_global thy th)) ccls
immler@30536
   568
    val ccltms = map prop_of ccls
immler@31752
   569
    and axtms = map (prop_of o #1) extra_cls
immler@30536
   570
    val subs = tfree_classes_of_terms ccltms
immler@30536
   571
    and supers = tvar_classes_of_terms axtms
blanchet@35865
   572
    and tycons = type_consts_of_terms thy (ccltms @ axtms)
immler@30536
   573
    (*TFrees in conjecture clauses; TVars in axiom clauses*)
blanchet@35865
   574
    val conjectures = make_conjecture_clauses dfg thy ccls
blanchet@35865
   575
    val (_, extra_clauses) = ListPair.unzip (make_axiom_clauses dfg thy extra_cls)
blanchet@35865
   576
    val (clnames, axiom_clauses) = ListPair.unzip (make_axiom_clauses dfg thy axcls)
blanchet@35865
   577
    val helper_clauses = get_helper_clauses dfg thy is_FO (conjectures, extra_cls, [])
blanchet@35865
   578
    val (supers', arity_clauses) = make_arity_clauses_dfg dfg thy tycons supers
blanchet@35865
   579
    val classrel_clauses = make_classrel_clauses thy subs supers'
immler@30536
   580
  in
immler@31752
   581
    (Vector.fromList clnames,
immler@31865
   582
      (conjectures, axiom_clauses, extra_clauses, helper_clauses, classrel_clauses, arity_clauses))
immler@31409
   583
  end
quigley@15644
   584
paulson@15347
   585
end;