src/HOL/Tools/Sledgehammer/sledgehammer_fact_filter.ML
author blanchet
Sat Jun 05 15:07:50 2010 +0200 (2010-06-05 ago)
changeset 37344 40f379944c1e
parent 37171 fc1e20373e6a
child 37345 4402a2bfa204
permissions -rw-r--r--
totally bypass Sledgehammer's relevance filter when facts are given using the "(fact1 ... factn)" syntax;
faster and more reliable
blanchet@35826
     1
(*  Title:      HOL/Tools/Sledgehammer/sledgehammer_fact_filter.ML
wenzelm@33309
     2
    Author:     Jia Meng, Cambridge University Computer Laboratory, NICTA
blanchet@36393
     3
    Author:     Jasmin Blanchette, TU Muenchen
wenzelm@33309
     4
*)
paulson@15452
     5
blanchet@35826
     6
signature SLEDGEHAMMER_FACT_FILTER =
wenzelm@16802
     7
sig
blanchet@35865
     8
  type classrel_clause = Sledgehammer_FOL_Clause.classrel_clause
blanchet@35865
     9
  type arity_clause = Sledgehammer_FOL_Clause.arity_clause
blanchet@35826
    10
  type axiom_name = Sledgehammer_HOL_Clause.axiom_name
blanchet@35865
    11
  type hol_clause = Sledgehammer_HOL_Clause.hol_clause
blanchet@35865
    12
  type hol_clause_id = Sledgehammer_HOL_Clause.hol_clause_id
blanchet@36473
    13
blanchet@35966
    14
  type relevance_override =
blanchet@35966
    15
    {add: Facts.ref list,
blanchet@35966
    16
     del: Facts.ref list,
blanchet@35966
    17
     only: bool}
blanchet@35966
    18
blanchet@37344
    19
  val name_thms_pair_from_ref :
blanchet@37344
    20
    Proof.context -> thm list -> Facts.ref -> string * thm list
paulson@22989
    21
  val tvar_classes_of_terms : term list -> string list
paulson@22989
    22
  val tfree_classes_of_terms : term list -> string list
paulson@22989
    23
  val type_consts_of_terms : theory -> term list -> string list
blanchet@35963
    24
  val get_relevant_facts :
blanchet@36473
    25
    bool -> real -> real -> bool -> int -> bool -> relevance_override
blanchet@36473
    26
    -> Proof.context * (thm list * 'a) -> thm list
blanchet@35963
    27
    -> (thm * (string * int)) list
blanchet@36473
    28
  val prepare_clauses :
blanchet@36473
    29
    bool -> thm list -> thm list -> (thm * (axiom_name * hol_clause_id)) list
blanchet@36473
    30
    -> (thm * (axiom_name * hol_clause_id)) list -> theory
blanchet@36473
    31
    -> axiom_name vector
blanchet@36473
    32
       * (hol_clause list * hol_clause list * hol_clause list *
blanchet@36473
    33
          hol_clause list * classrel_clause list * arity_clause list)
paulson@15347
    34
end;
paulson@15347
    35
blanchet@35826
    36
structure Sledgehammer_Fact_Filter : SLEDGEHAMMER_FACT_FILTER =
paulson@15347
    37
struct
paulson@15347
    38
blanchet@35865
    39
open Sledgehammer_FOL_Clause
blanchet@35865
    40
open Sledgehammer_Fact_Preprocessor
blanchet@35865
    41
open Sledgehammer_HOL_Clause
blanchet@35826
    42
blanchet@35966
    43
type relevance_override =
blanchet@35966
    44
  {add: Facts.ref list,
blanchet@35966
    45
   del: Facts.ref list,
blanchet@35966
    46
   only: bool}
paulson@21070
    47
wenzelm@28477
    48
(***************************************************************)
wenzelm@28477
    49
(* Relevance Filtering                                         *)
wenzelm@28477
    50
(***************************************************************)
mengj@19194
    51
blanchet@35865
    52
fun strip_Trueprop (@{const Trueprop} $ t) = t
paulson@24958
    53
  | strip_Trueprop t = t;
mengj@19194
    54
paulson@24287
    55
(*A surprising number of theorems contain only a few significant constants.
paulson@24287
    56
  These include all induction rules, and other general theorems. Filtering
paulson@24287
    57
  theorems in clause form reveals these complexities in the form of Skolem 
paulson@24287
    58
  functions. If we were instead to filter theorems in their natural form,
paulson@24287
    59
  some other method of measuring theorem complexity would become necessary.*)
paulson@24287
    60
paulson@24287
    61
fun log_weight2 (x:real) = 1.0 + 2.0/Math.ln (x+1.0);
paulson@24287
    62
paulson@24287
    63
(*The default seems best in practice. A constant function of one ignores
paulson@24287
    64
  the constant frequencies.*)
wenzelm@28477
    65
val weight_fn = log_weight2;
paulson@24287
    66
paulson@24287
    67
paulson@24287
    68
(*Including equality in this list might be expected to stop rules like subset_antisym from
paulson@24287
    69
  being chosen, but for some reason filtering works better with them listed. The
paulson@24287
    70
  logical signs All, Ex, &, and --> are omitted because any remaining occurrrences
paulson@24287
    71
  must be within comprehensions.*)
blanchet@35865
    72
val standard_consts =
blanchet@35865
    73
  [@{const_name Trueprop}, @{const_name "==>"}, @{const_name all},
blanchet@35865
    74
   @{const_name "=="}, @{const_name "op |"}, @{const_name Not},
blanchet@35865
    75
   @{const_name "op ="}];
paulson@24287
    76
paulson@24287
    77
paulson@24287
    78
(*** constants with types ***)
paulson@24287
    79
paulson@24287
    80
(*An abstraction of Isabelle types*)
paulson@24287
    81
datatype const_typ =  CTVar | CType of string * const_typ list
paulson@24287
    82
paulson@24287
    83
(*Is the second type an instance of the first one?*)
paulson@24287
    84
fun match_type (CType(con1,args1)) (CType(con2,args2)) = 
paulson@24287
    85
      con1=con2 andalso match_types args1 args2
paulson@24287
    86
  | match_type CTVar _ = true
paulson@24287
    87
  | match_type _ CTVar = false
paulson@24287
    88
and match_types [] [] = true
paulson@24287
    89
  | match_types (a1::as1) (a2::as2) = match_type a1 a2 andalso match_types as1 as2;
paulson@24287
    90
paulson@24287
    91
(*Is there a unifiable constant?*)
paulson@24287
    92
fun uni_mem gctab (c,c_typ) =
paulson@24287
    93
  case Symtab.lookup gctab c of
paulson@24287
    94
      NONE => false
paulson@24287
    95
    | SOME ctyps_list => exists (match_types c_typ) ctyps_list;
paulson@24287
    96
  
paulson@24287
    97
(*Maps a "real" type to a const_typ*)
paulson@24287
    98
fun const_typ_of (Type (c,typs)) = CType (c, map const_typ_of typs) 
paulson@24287
    99
  | const_typ_of (TFree _) = CTVar
paulson@24287
   100
  | const_typ_of (TVar _) = CTVar
paulson@24287
   101
paulson@24287
   102
(*Pairs a constant with the list of its type instantiations (using const_typ)*)
paulson@24287
   103
fun const_with_typ thy (c,typ) = 
paulson@24287
   104
    let val tvars = Sign.const_typargs thy (c,typ)
paulson@24287
   105
    in (c, map const_typ_of tvars) end
paulson@24287
   106
    handle TYPE _ => (c,[]);   (*Variable (locale constant): monomorphic*)   
paulson@24287
   107
paulson@24287
   108
(*Add a const/type pair to the table, but a [] entry means a standard connective,
paulson@24287
   109
  which we ignore.*)
paulson@24287
   110
fun add_const_typ_table ((c,ctyps), tab) =
paulson@24287
   111
  Symtab.map_default (c, [ctyps]) (fn [] => [] | ctyps_list => insert (op =) ctyps ctyps_list) 
paulson@24287
   112
    tab;
paulson@24287
   113
paulson@24287
   114
(*Free variables are included, as well as constants, to handle locales*)
paulson@24287
   115
fun add_term_consts_typs_rm thy (Const(c, typ), tab) =
paulson@24287
   116
      add_const_typ_table (const_with_typ thy (c,typ), tab) 
paulson@24287
   117
  | add_term_consts_typs_rm thy (Free(c, typ), tab) =
paulson@24287
   118
      add_const_typ_table (const_with_typ thy (c,typ), tab) 
paulson@24287
   119
  | add_term_consts_typs_rm thy (t $ u, tab) =
paulson@24287
   120
      add_term_consts_typs_rm thy (t, add_term_consts_typs_rm thy (u, tab))
paulson@24287
   121
  | add_term_consts_typs_rm thy (Abs(_,_,t), tab) = add_term_consts_typs_rm thy (t, tab)
wenzelm@32994
   122
  | add_term_consts_typs_rm _ (_, tab) = tab;
paulson@24287
   123
paulson@24287
   124
(*The empty list here indicates that the constant is being ignored*)
paulson@24287
   125
fun add_standard_const (s,tab) = Symtab.update (s,[]) tab;
paulson@24287
   126
paulson@24287
   127
val null_const_tab : const_typ list list Symtab.table = 
wenzelm@30190
   128
    List.foldl add_standard_const Symtab.empty standard_consts;
paulson@24287
   129
wenzelm@30190
   130
fun get_goal_consts_typs thy = List.foldl (add_term_consts_typs_rm thy) null_const_tab;
paulson@24287
   131
paulson@24287
   132
(*Inserts a dummy "constant" referring to the theory name, so that relevance
paulson@24287
   133
  takes the given theory into account.*)
blanchet@36220
   134
fun const_prop_of theory_relevant th =
blanchet@36220
   135
 if theory_relevant then
paulson@24287
   136
  let val name = Context.theory_name (theory_of_thm th)
paulson@24287
   137
      val t = Const (name ^ ". 1", HOLogic.boolT)
paulson@24287
   138
  in  t $ prop_of th  end
paulson@24287
   139
 else prop_of th;
paulson@24287
   140
paulson@24287
   141
(**** Constant / Type Frequencies ****)
paulson@24287
   142
paulson@24287
   143
(*A two-dimensional symbol table counts frequencies of constants. It's keyed first by
paulson@24287
   144
  constant name and second by its list of type instantiations. For the latter, we need
paulson@24287
   145
  a linear ordering on type const_typ list.*)
paulson@24287
   146
  
paulson@24287
   147
local
paulson@24287
   148
paulson@24287
   149
fun cons_nr CTVar = 0
paulson@24287
   150
  | cons_nr (CType _) = 1;
paulson@24287
   151
paulson@24287
   152
in
paulson@24287
   153
paulson@24287
   154
fun const_typ_ord TU =
paulson@24287
   155
  case TU of
paulson@24287
   156
    (CType (a, Ts), CType (b, Us)) =>
paulson@24287
   157
      (case fast_string_ord(a,b) of EQUAL => dict_ord const_typ_ord (Ts,Us) | ord => ord)
paulson@24287
   158
  | (T, U) => int_ord (cons_nr T, cons_nr U);
paulson@24287
   159
paulson@24287
   160
end;
paulson@24287
   161
wenzelm@31971
   162
structure CTtab = Table(type key = const_typ list val ord = dict_ord const_typ_ord);
paulson@24287
   163
blanchet@36220
   164
fun count_axiom_consts theory_relevant thy ((thm,_), tab) = 
paulson@24287
   165
  let fun count_const (a, T, tab) =
wenzelm@32960
   166
        let val (c, cts) = const_with_typ thy (a,T)
wenzelm@32960
   167
        in  (*Two-dimensional table update. Constant maps to types maps to count.*)
wenzelm@32960
   168
            Symtab.map_default (c, CTtab.empty) 
wenzelm@32960
   169
                               (CTtab.map_default (cts,0) (fn n => n+1)) tab
wenzelm@32960
   170
        end
paulson@24287
   171
      fun count_term_consts (Const(a,T), tab) = count_const(a,T,tab)
wenzelm@32960
   172
        | count_term_consts (Free(a,T), tab) = count_const(a,T,tab)
wenzelm@32960
   173
        | count_term_consts (t $ u, tab) =
wenzelm@32960
   174
            count_term_consts (t, count_term_consts (u, tab))
wenzelm@32960
   175
        | count_term_consts (Abs(_,_,t), tab) = count_term_consts (t, tab)
wenzelm@32960
   176
        | count_term_consts (_, tab) = tab
blanchet@36220
   177
  in  count_term_consts (const_prop_of theory_relevant thm, tab)  end;
paulson@24287
   178
paulson@24287
   179
paulson@24287
   180
(**** Actual Filtering Code ****)
paulson@24287
   181
paulson@24287
   182
(*The frequency of a constant is the sum of those of all instances of its type.*)
paulson@24287
   183
fun const_frequency ctab (c, cts) =
blanchet@36185
   184
  CTtab.fold (fn (cts', m) => match_types cts cts' ? Integer.add m)
blanchet@36185
   185
             (the (Symtab.lookup ctab c)) 0
paulson@24287
   186
paulson@24287
   187
(*Add in a constant's weight, as determined by its frequency.*)
paulson@24287
   188
fun add_ct_weight ctab ((c,T), w) =
wenzelm@28477
   189
  w + weight_fn (real (const_frequency ctab (c,T)));
paulson@24287
   190
paulson@24287
   191
(*Relevant constants are weighted according to frequency, 
paulson@24287
   192
  but irrelevant constants are simply counted. Otherwise, Skolem functions,
paulson@24287
   193
  which are rare, would harm a clause's chances of being picked.*)
paulson@24287
   194
fun clause_weight ctab gctyps consts_typs =
paulson@24287
   195
    let val rel = filter (uni_mem gctyps) consts_typs
paulson@24287
   196
        val rel_weight = List.foldl (add_ct_weight ctab) 0.0 rel
paulson@24287
   197
    in
wenzelm@32960
   198
        rel_weight / (rel_weight + real (length consts_typs - length rel))
paulson@24287
   199
    end;
paulson@24287
   200
    
paulson@24287
   201
(*Multiplies out to a list of pairs: 'a * 'b list -> ('a * 'b) list -> ('a * 'b) list*)
wenzelm@30190
   202
fun add_expand_pairs (x,ys) xys = List.foldl (fn (y,acc) => (x,y)::acc) xys ys;
paulson@24287
   203
paulson@24287
   204
fun consts_typs_of_term thy t = 
paulson@24287
   205
  let val tab = add_term_consts_typs_rm thy (t, null_const_tab)
paulson@24287
   206
  in  Symtab.fold add_expand_pairs tab []  end;
paulson@24287
   207
blanchet@36220
   208
fun pair_consts_typs_axiom theory_relevant thy (p as (thm, _)) =
blanchet@36220
   209
  (p, (consts_typs_of_term thy (const_prop_of theory_relevant thm)));
paulson@24287
   210
paulson@24287
   211
exception ConstFree;
paulson@24287
   212
fun dest_ConstFree (Const aT) = aT
paulson@24287
   213
  | dest_ConstFree (Free aT) = aT
paulson@24287
   214
  | dest_ConstFree _ = raise ConstFree;
paulson@24287
   215
paulson@24287
   216
(*Look for definitions of the form f ?x1 ... ?xn = t, but not reversed.*)
wenzelm@32994
   217
fun defines thy thm gctypes =
paulson@24287
   218
    let val tm = prop_of thm
wenzelm@32960
   219
        fun defs lhs rhs =
paulson@24287
   220
            let val (rator,args) = strip_comb lhs
wenzelm@32960
   221
                val ct = const_with_typ thy (dest_ConstFree rator)
haftmann@33037
   222
            in
haftmann@33037
   223
              forall is_Var args andalso uni_mem gctypes ct andalso
haftmann@33038
   224
                subset (op =) (Term.add_vars rhs [], Term.add_vars lhs [])
paulson@24287
   225
            end
wenzelm@32960
   226
            handle ConstFree => false
paulson@24287
   227
    in    
blanchet@35963
   228
        case tm of
blanchet@35963
   229
          @{const Trueprop} $ (Const (@{const_name "op ="}, _) $ lhs $ rhs) => 
blanchet@35963
   230
            defs lhs rhs 
blanchet@35963
   231
        | _ => false
paulson@24287
   232
    end;
paulson@24287
   233
paulson@24287
   234
type annotd_cls = (thm * (string * int)) * ((string * const_typ list) list);
paulson@24287
   235
       
paulson@24287
   236
(*For a reverse sort, putting the largest values first.*)
paulson@24287
   237
fun compare_pairs ((_,w1),(_,w2)) = Real.compare (w2,w1);
paulson@24287
   238
paulson@24287
   239
(*Limit the number of new clauses, to prevent runaway acceptance.*)
wenzelm@28477
   240
fun take_best max_new (newpairs : (annotd_cls*real) list) =
paulson@24287
   241
  let val nnew = length newpairs
paulson@24287
   242
  in
wenzelm@28477
   243
    if nnew <= max_new then (map #1 newpairs, [])
paulson@24287
   244
    else 
paulson@24287
   245
      let val cls = sort compare_pairs newpairs
wenzelm@28477
   246
          val accepted = List.take (cls, max_new)
paulson@24287
   247
      in
blanchet@35865
   248
        trace_msg (fn () => ("Number of candidates, " ^ Int.toString nnew ^ 
wenzelm@32960
   249
                       ", exceeds the limit of " ^ Int.toString (max_new)));
blanchet@35865
   250
        trace_msg (fn () => ("Effective pass mark: " ^ Real.toString (#2 (List.last accepted))));
blanchet@35865
   251
        trace_msg (fn () => "Actually passed: " ^
paulson@24287
   252
          space_implode ", " (map (fn (((_,(name,_)),_),_) => name) accepted));
paulson@24287
   253
wenzelm@32960
   254
        (map #1 accepted, map #1 (List.drop (cls, max_new)))
paulson@24287
   255
      end
paulson@24287
   256
  end;
paulson@24287
   257
blanchet@36922
   258
fun relevant_clauses ctxt relevance_convergence defs_relevant max_new
blanchet@37344
   259
                     (relevance_override as {add, del, ...}) ctab =
blanchet@36182
   260
  let
blanchet@37344
   261
    val thy = ProofContext.theory_of ctxt
blanchet@37344
   262
    val cnf_for_facts = maps (maps (cnf_axiom thy) o ProofContext.get_fact ctxt)
blanchet@37344
   263
    val add_thms = cnf_for_facts add
blanchet@37344
   264
    val del_thms = cnf_for_facts del
blanchet@37344
   265
    fun iter threshold rel_consts =
blanchet@36182
   266
      let
blanchet@36182
   267
        fun relevant ([], _) [] = []  (* Nothing added this iteration *)
blanchet@37344
   268
          | relevant (newpairs, rejects) [] =
blanchet@36182
   269
            let
blanchet@36182
   270
              val (newrels, more_rejects) = take_best max_new newpairs
blanchet@36182
   271
              val new_consts = maps #2 newrels
blanchet@36182
   272
              val rel_consts' = List.foldl add_const_typ_table rel_consts new_consts
blanchet@37344
   273
              val threshold =
blanchet@37344
   274
                threshold + (1.0 - threshold) / relevance_convergence
wenzelm@32960
   275
            in
blanchet@36182
   276
              trace_msg (fn () => "relevant this iteration: " ^
blanchet@36182
   277
                                  Int.toString (length newrels));
blanchet@37344
   278
              map #1 newrels @ iter threshold rel_consts'
blanchet@37344
   279
                  (more_rejects @ rejects)
wenzelm@32960
   280
            end
blanchet@36182
   281
          | relevant (newrels, rejects)
blanchet@36182
   282
                     ((ax as (clsthm as (thm, (name, n)), consts_typs)) :: axs) =
blanchet@35966
   283
            let
blanchet@37344
   284
              (* FIXME: "add" and "del" don't always work *)
blanchet@35966
   285
              val weight = if member Thm.eq_thm del_thms thm then 0.0
blanchet@35966
   286
                           else if member Thm.eq_thm add_thms thm then 1.0
blanchet@35966
   287
                           else clause_weight ctab rel_consts consts_typs
wenzelm@32960
   288
            in
blanchet@37344
   289
              if weight >= threshold orelse
blanchet@36922
   290
                 (defs_relevant andalso defines thy (#1 clsthm) rel_consts) then
blanchet@36182
   291
                (trace_msg (fn () => name ^ " clause " ^ Int.toString n ^ 
blanchet@36182
   292
                                     " passes: " ^ Real.toString weight);
blanchet@36182
   293
                relevant ((ax, weight) :: newrels, rejects) axs)
blanchet@36182
   294
              else
blanchet@36182
   295
                relevant (newrels, ax :: rejects) axs
wenzelm@32960
   296
            end
blanchet@36182
   297
        in
blanchet@37344
   298
          trace_msg (fn () => "relevant_clauses, current threshold: " ^
blanchet@37344
   299
                              Real.toString threshold);
blanchet@36182
   300
          relevant ([], [])
blanchet@36182
   301
        end
blanchet@36182
   302
  in iter end
wenzelm@32960
   303
        
blanchet@36922
   304
fun relevance_filter ctxt relevance_threshold relevance_convergence
blanchet@36922
   305
                     defs_relevant max_new theory_relevant relevance_override
blanchet@36922
   306
                     thy axioms goals = 
blanchet@35966
   307
  if relevance_threshold > 0.0 then
blanchet@35963
   308
    let
blanchet@36220
   309
      val const_tab = List.foldl (count_axiom_consts theory_relevant thy)
blanchet@35963
   310
                                 Symtab.empty axioms
paulson@24287
   311
      val goal_const_tab = get_goal_consts_typs thy goals
blanchet@35963
   312
      val _ =
blanchet@35963
   313
        trace_msg (fn () => "Initial constants: " ^
blanchet@35963
   314
                            commas (Symtab.keys goal_const_tab))
blanchet@35963
   315
      val relevant =
blanchet@36922
   316
        relevant_clauses ctxt relevance_convergence defs_relevant max_new
blanchet@37344
   317
                         relevance_override const_tab relevance_threshold
blanchet@36922
   318
                         goal_const_tab
blanchet@36220
   319
                         (map (pair_consts_typs_axiom theory_relevant thy)
blanchet@36220
   320
                              axioms)
blanchet@35963
   321
    in
blanchet@35963
   322
      trace_msg (fn () => "Total relevant: " ^ Int.toString (length relevant));
blanchet@35963
   323
      relevant
blanchet@35963
   324
    end
blanchet@35963
   325
  else
blanchet@35963
   326
    axioms;
paulson@24287
   327
paulson@24287
   328
(***************************************************************)
mengj@19768
   329
(* Retrieving and filtering lemmas                             *)
mengj@19768
   330
(***************************************************************)
mengj@19768
   331
paulson@33022
   332
(*** retrieve lemmas and filter them ***)
mengj@19768
   333
mengj@19768
   334
(*Hashing to detect duplicate and variant clauses, e.g. from the [iff] attribute*)
mengj@19768
   335
paulson@22382
   336
fun setinsert (x,s) = Symtab.update (x,()) s;
mengj@19768
   337
paulson@20757
   338
(*Reject theorems with names like "List.filter.filter_list_def" or
paulson@21690
   339
  "Accessible_Part.acc.defs", as these are definitions arising from packages.*)
paulson@20757
   340
fun is_package_def a =
wenzelm@30364
   341
  let val names = Long_Name.explode a
paulson@21690
   342
  in
paulson@21690
   343
     length names > 2 andalso
paulson@21690
   344
     not (hd names = "local") andalso
paulson@21690
   345
     String.isSuffix "_def" a  orelse  String.isSuffix "_defs" a
paulson@21690
   346
  end;
paulson@20757
   347
blanchet@36061
   348
fun mk_clause_table xs =
blanchet@36061
   349
  fold (Termtab.update o `(prop_of o fst)) xs Termtab.empty
paulson@22382
   350
blanchet@36061
   351
fun make_unique xs =
blanchet@36061
   352
  Termtab.fold (cons o snd) (mk_clause_table xs) []
mengj@19768
   353
blanchet@36061
   354
(* Remove existing axiom clauses from the conjecture clauses, as this can
blanchet@36061
   355
   dramatically boost an ATP's performance (for some reason). *)
blanchet@36061
   356
fun subtract_cls ax_clauses =
blanchet@36061
   357
  filter_out (Termtab.defined (mk_clause_table ax_clauses) o prop_of)
mengj@19768
   358
blanchet@37171
   359
fun all_valid_thms respect_no_atp ctxt chained_ths =
paulson@22382
   360
  let
wenzelm@26675
   361
    val global_facts = PureThy.facts_of (ProofContext.theory_of ctxt);
wenzelm@26278
   362
    val local_facts = ProofContext.facts_of ctxt;
wenzelm@33641
   363
    val full_space =
wenzelm@33641
   364
      Name_Space.merge (Facts.space_of global_facts, Facts.space_of local_facts);
wenzelm@33641
   365
wenzelm@33641
   366
    fun valid_facts facts =
wenzelm@33641
   367
      (facts, []) |-> Facts.fold_static (fn (name, ths0) =>
wenzelm@33641
   368
        let
wenzelm@33641
   369
          fun check_thms a =
wenzelm@33641
   370
            (case try (ProofContext.get_thms ctxt) a of
wenzelm@33641
   371
              NONE => false
wenzelm@33641
   372
            | SOME ths1 => Thm.eq_thms (ths0, ths1));
wenzelm@33641
   373
wenzelm@33641
   374
          val name1 = Facts.extern facts name;
wenzelm@33641
   375
          val name2 = Name_Space.extern full_space name;
blanchet@35865
   376
          val ths = filter_out bad_for_atp ths0;
wenzelm@33641
   377
        in
blanchet@36968
   378
          if Facts.is_concealed facts name orelse
blanchet@36227
   379
             (respect_no_atp andalso is_package_def name) then
blanchet@36227
   380
            I
blanchet@36227
   381
          else case find_first check_thms [name1, name2, name] of
blanchet@36227
   382
            NONE => I
blanchet@37171
   383
          | SOME name' =>
blanchet@37171
   384
            cons (name' |> forall (member Thm.eq_thm chained_ths) ths
blanchet@37171
   385
                           ? prefix chained_prefix, ths)
wenzelm@33641
   386
        end);
wenzelm@26675
   387
  in valid_facts global_facts @ valid_facts local_facts end;
paulson@21224
   388
wenzelm@33309
   389
fun multi_name a th (n, pairs) =
wenzelm@33309
   390
  (n + 1, (a ^ "(" ^ Int.toString n ^ ")", th) :: pairs);
paulson@21224
   391
wenzelm@33309
   392
fun add_single_names (a, []) pairs = pairs
wenzelm@33309
   393
  | add_single_names (a, [th]) pairs = (a, th) :: pairs
wenzelm@33309
   394
  | add_single_names (a, ths) pairs = #2 (fold (multi_name a) ths (1, pairs));
paulson@21431
   395
paulson@22382
   396
(*Ignore blacklisted basenames*)
wenzelm@33309
   397
fun add_multi_names (a, ths) pairs =
haftmann@36692
   398
  if member (op =) multi_base_blacklist (Long_Name.base_name a) then pairs
wenzelm@33309
   399
  else add_single_names (a, ths) pairs;
paulson@21224
   400
paulson@21290
   401
fun is_multi (a, ths) = length ths > 1 orelse String.isSuffix ".axioms" a;
paulson@21290
   402
blanchet@36550
   403
(* The single-name theorems go after the multiple-name ones, so that single
blanchet@36550
   404
   names are preferred when both are available. *)
blanchet@37344
   405
fun name_thm_pairs respect_no_atp ctxt name_thms_pairs =
wenzelm@33309
   406
  let
blanchet@37344
   407
    val (mults, singles) = List.partition is_multi name_thms_pairs
blanchet@36550
   408
    val ps = [] |> fold add_single_names singles
blanchet@36550
   409
                |> fold add_multi_names mults
blanchet@36060
   410
  in ps |> respect_no_atp ? filter_out (No_ATPs.member ctxt o snd) end;
paulson@21224
   411
blanchet@37344
   412
fun is_named ("", th) =
blanchet@37344
   413
    (warning ("No name for theorem " ^
blanchet@37344
   414
              Display.string_of_thm_without_context th); false)
blanchet@37344
   415
  | is_named _ = true
blanchet@37344
   416
fun checked_name_thm_pairs respect_no_atp ctxt =
blanchet@37344
   417
  name_thm_pairs respect_no_atp ctxt
blanchet@37344
   418
  #> tap (fn ps => trace_msg
blanchet@37344
   419
                        (fn () => ("Considering " ^ Int.toString (length ps) ^
blanchet@37344
   420
                                   " theorems")))
blanchet@37344
   421
  #> filter is_named
paulson@19894
   422
blanchet@37344
   423
fun name_thms_pair_from_ref ctxt chained_ths xref =
blanchet@37344
   424
  let
blanchet@37344
   425
    val ths = ProofContext.get_fact ctxt xref
blanchet@37344
   426
    val name = Facts.string_of_ref xref
blanchet@37344
   427
               |> forall (member Thm.eq_thm chained_ths) ths
blanchet@37344
   428
                  ? prefix chained_prefix
blanchet@37344
   429
  in (name, ths) end
blanchet@37344
   430
mengj@19768
   431
paulson@21290
   432
(***************************************************************)
paulson@21290
   433
(* Type Classes Present in the Axiom or Conjecture Clauses     *)
paulson@21290
   434
(***************************************************************)
paulson@21290
   435
wenzelm@32952
   436
fun add_classes (sorts, cset) = List.foldl setinsert cset (flat sorts);
paulson@21290
   437
paulson@21290
   438
(*Remove this trivial type class*)
blanchet@35865
   439
fun delete_type cset = Symtab.delete_safe (the_single @{sort HOL.type}) cset;
paulson@21290
   440
paulson@21290
   441
fun tvar_classes_of_terms ts =
wenzelm@29270
   442
  let val sorts_list = map (map #2 o OldTerm.term_tvars) ts
wenzelm@30190
   443
  in  Symtab.keys (delete_type (List.foldl add_classes Symtab.empty sorts_list))  end;
paulson@21290
   444
paulson@21290
   445
fun tfree_classes_of_terms ts =
wenzelm@29270
   446
  let val sorts_list = map (map #2 o OldTerm.term_tfrees) ts
wenzelm@30190
   447
  in  Symtab.keys (delete_type (List.foldl add_classes Symtab.empty sorts_list))  end;
paulson@20526
   448
paulson@21373
   449
(*fold type constructors*)
paulson@21373
   450
fun fold_type_consts f (Type (a, Ts)) x = fold (fold_type_consts f) Ts (f (a,x))
wenzelm@32994
   451
  | fold_type_consts _ _ x = x;
paulson@21373
   452
paulson@21373
   453
val add_type_consts_in_type = fold_type_consts setinsert;
paulson@21373
   454
paulson@21397
   455
(*Type constructors used to instantiate overloaded constants are the only ones needed.*)
paulson@21397
   456
fun add_type_consts_in_term thy =
paulson@21397
   457
  let val const_typargs = Sign.const_typargs thy
paulson@21397
   458
      fun add_tcs (Const cT) x = fold add_type_consts_in_type (const_typargs cT) x
wenzelm@32994
   459
        | add_tcs (Abs (_, _, u)) x = add_tcs u x
paulson@21397
   460
        | add_tcs (t $ u) x = add_tcs t (add_tcs u x)
paulson@21397
   461
        | add_tcs _ x = x
paulson@21397
   462
  in  add_tcs  end
paulson@21373
   463
paulson@21397
   464
fun type_consts_of_terms thy ts =
paulson@21397
   465
  Symtab.keys (fold (add_type_consts_in_term thy) ts Symtab.empty);
paulson@21373
   466
paulson@21373
   467
mengj@19194
   468
(***************************************************************)
mengj@19194
   469
(* ATP invocation methods setup                                *)
mengj@19194
   470
(***************************************************************)
mengj@19194
   471
paulson@20526
   472
(*Ensures that no higher-order theorems "leak out"*)
paulson@24958
   473
fun restrict_to_logic thy true cls = filter (Meson.is_fol_term thy o prop_of o fst) cls
paulson@24958
   474
  | restrict_to_logic thy false cls = cls;
paulson@20526
   475
paulson@21470
   476
(**** Predicates to detect unwanted clauses (prolific or likely to cause unsoundness) ****)
paulson@21470
   477
paulson@21470
   478
(** Too general means, positive equality literal with a variable X as one operand,
paulson@21470
   479
  when X does not occur properly in the other operand. This rules out clearly
paulson@21470
   480
  inconsistent clauses such as V=a|V=b, though it by no means guarantees soundness. **)
wenzelm@21588
   481
paulson@21470
   482
fun occurs ix =
paulson@21470
   483
    let fun occ(Var (jx,_)) = (ix=jx)
paulson@21470
   484
          | occ(t1$t2)      = occ t1 orelse occ t2
paulson@21470
   485
          | occ(Abs(_,_,t)) = occ t
paulson@21470
   486
          | occ _           = false
paulson@21470
   487
    in occ end;
paulson@21470
   488
haftmann@31723
   489
fun is_recordtype T = not (null (Record.dest_recTs T));
paulson@21470
   490
paulson@21470
   491
(*Unwanted equalities include
paulson@21470
   492
  (1) those between a variable that does not properly occur in the second operand,
paulson@21470
   493
  (2) those between a variable and a record, since these seem to be prolific "cases" thms
wenzelm@21588
   494
*)
paulson@21470
   495
fun too_general_eqterms (Var (ix,T), t) = not (occurs ix t) orelse is_recordtype T
paulson@21470
   496
  | too_general_eqterms _ = false;
paulson@21470
   497
blanchet@35865
   498
fun too_general_equality (Const (@{const_name "op ="}, _) $ x $ y) =
paulson@21470
   499
      too_general_eqterms (x,y) orelse too_general_eqterms(y,x)
paulson@21470
   500
  | too_general_equality _ = false;
paulson@21470
   501
wenzelm@29267
   502
fun has_typed_var tycons = exists_subterm
wenzelm@29267
   503
  (fn Var (_, Type (a, _)) => member (op =) tycons a | _ => false);
paulson@21431
   504
paulson@22217
   505
(*Clauses are forbidden to contain variables of these types. The typical reason is that
paulson@22217
   506
  they lead to unsoundness. Note that "unit" satisfies numerous equations like ?X=().
paulson@22217
   507
  The resulting clause will have no type constraint, yielding false proofs. Even "bool"
paulson@22217
   508
  leads to many unsound proofs, though (obviously) only for higher-order problems.*)
blanchet@35865
   509
val unwanted_types = [@{type_name unit}, @{type_name bool}];
paulson@22217
   510
paulson@21470
   511
fun unwanted t =
blanchet@35865
   512
  t = @{prop True} orelse has_typed_var unwanted_types t orelse
paulson@24958
   513
  forall too_general_equality (HOLogic.disjuncts (strip_Trueprop t));
paulson@21470
   514
paulson@21431
   515
(*Clauses containing variables of type "unit" or "bool" are unlikely to be useful and
paulson@21431
   516
  likely to lead to unsound proofs.*)
paulson@22217
   517
fun remove_unwanted_clauses cls = filter (not o unwanted o prop_of o fst) cls;
paulson@21431
   518
blanchet@36473
   519
fun is_first_order thy = forall (Meson.is_fol_term thy) o map prop_of
immler@30536
   520
blanchet@36922
   521
fun get_relevant_facts respect_no_atp relevance_threshold relevance_convergence
blanchet@36922
   522
                       defs_relevant max_new theory_relevant
blanchet@36185
   523
                       (relevance_override as {add, only, ...})
blanchet@37171
   524
                       (ctxt, (chained_ths, _)) goal_cls =
blanchet@36185
   525
  if (only andalso null add) orelse relevance_threshold > 1.0 then
blanchet@36185
   526
    []
blanchet@36185
   527
  else
blanchet@36185
   528
    let
blanchet@36185
   529
      val thy = ProofContext.theory_of ctxt
blanchet@36473
   530
      val is_FO = is_first_order thy goal_cls
blanchet@37344
   531
      val included_cls =
blanchet@37344
   532
        checked_name_thm_pairs respect_no_atp ctxt
blanchet@37344
   533
            (if only then map (name_thms_pair_from_ref ctxt chained_ths) add
blanchet@37344
   534
             else all_valid_thms respect_no_atp ctxt chained_ths)
blanchet@36185
   535
        |> cnf_rules_pairs thy |> make_unique
blanchet@36185
   536
        |> restrict_to_logic thy is_FO
blanchet@36185
   537
        |> remove_unwanted_clauses
blanchet@36185
   538
    in
blanchet@36922
   539
      relevance_filter ctxt relevance_threshold relevance_convergence
blanchet@36922
   540
                       defs_relevant max_new theory_relevant relevance_override
blanchet@36922
   541
                       thy included_cls (map prop_of goal_cls)
blanchet@36185
   542
    end
immler@30536
   543
immler@31752
   544
(* prepare for passing to writer,
immler@31752
   545
   create additional clauses based on the information from extra_cls *)
blanchet@37171
   546
fun prepare_clauses dfg goal_cls chained_ths axcls extra_cls thy =
immler@31409
   547
  let
blanchet@36473
   548
    val is_FO = is_first_order thy goal_cls
blanchet@36061
   549
    val ccls = subtract_cls extra_cls goal_cls
blanchet@35865
   550
    val _ = app (fn th => trace_msg (fn _ => Display.string_of_thm_global thy th)) ccls
immler@30536
   551
    val ccltms = map prop_of ccls
immler@31752
   552
    and axtms = map (prop_of o #1) extra_cls
immler@30536
   553
    val subs = tfree_classes_of_terms ccltms
immler@30536
   554
    and supers = tvar_classes_of_terms axtms
blanchet@35865
   555
    and tycons = type_consts_of_terms thy (ccltms @ axtms)
immler@30536
   556
    (*TFrees in conjecture clauses; TVars in axiom clauses*)
blanchet@35865
   557
    val conjectures = make_conjecture_clauses dfg thy ccls
blanchet@35865
   558
    val (_, extra_clauses) = ListPair.unzip (make_axiom_clauses dfg thy extra_cls)
blanchet@35865
   559
    val (clnames, axiom_clauses) = ListPair.unzip (make_axiom_clauses dfg thy axcls)
blanchet@35865
   560
    val helper_clauses = get_helper_clauses dfg thy is_FO (conjectures, extra_cls, [])
blanchet@35865
   561
    val (supers', arity_clauses) = make_arity_clauses_dfg dfg thy tycons supers
blanchet@35865
   562
    val classrel_clauses = make_classrel_clauses thy subs supers'
immler@30536
   563
  in
immler@31752
   564
    (Vector.fromList clnames,
immler@31865
   565
      (conjectures, axiom_clauses, extra_clauses, helper_clauses, classrel_clauses, arity_clauses))
immler@31409
   566
  end
quigley@15644
   567
paulson@15347
   568
end;