src/HOL/Tools/Sledgehammer/sledgehammer_translate.ML
author blanchet
Fri, 20 Aug 2010 10:58:01 +0200
changeset 38608 01ed56c46259
parent 38606 3003ddbd46d9
child 38610 5266689abbc1
permissions -rw-r--r--
beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly); another consequence of the transition to FOF
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     1
(*  Title:      HOL/Tools/Sledgehammer/sledgehammer_translate.ML
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     2
    Author:     Fabian Immler, TU Muenchen
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     3
    Author:     Makarius
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     4
    Author:     Jasmin Blanchette, TU Muenchen
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     5
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     6
Translation of HOL to FOL.
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     7
*)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     8
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
     9
signature SLEDGEHAMMER_TRANSLATE =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    10
sig
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    11
  type 'a problem = 'a ATP_Problem.problem
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    12
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    13
  val axiom_prefix : string
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    14
  val conjecture_prefix : string
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    15
  val helper_prefix : string
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    16
  val class_rel_clause_prefix : string
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    17
  val arity_clause_prefix : string
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    18
  val tfrees_name : string
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    19
  val prepare_problem :
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    20
    Proof.context -> bool -> bool -> bool -> bool -> term list -> term
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    21
    -> (string * thm) list
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    22
    -> string problem * string Symtab.table * int * string Vector.vector
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    23
end;
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    24
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    25
structure Sledgehammer_Translate : SLEDGEHAMMER_TRANSLATE =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    26
struct
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    27
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    28
open ATP_Problem
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    29
open Metis_Clauses
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    30
open Sledgehammer_Util
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    31
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    32
val axiom_prefix = "ax_"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    33
val conjecture_prefix = "conj_"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    34
val helper_prefix = "help_"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    35
val class_rel_clause_prefix = "clrel_";
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    36
val arity_clause_prefix = "arity_"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    37
val tfrees_name = "tfrees"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    38
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    39
(* Freshness almost guaranteed! *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    40
val sledgehammer_weak_prefix = "Sledgehammer:"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    41
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    42
datatype fol_formula =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    43
  FOLFormula of {name: string,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    44
                 kind: kind,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    45
                 combformula: (name, combterm) formula,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    46
                 ctypes_sorts: typ list}
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    47
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    48
fun mk_anot phi = AConn (ANot, [phi])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    49
fun mk_aconn c phi1 phi2 = AConn (c, [phi1, phi2])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    50
fun mk_ahorn [] phi = phi
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    51
  | mk_ahorn (phi :: phis) psi =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    52
    AConn (AImplies, [fold (mk_aconn AAnd) phis phi, psi])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    53
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    54
fun combformula_for_prop thy =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    55
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    56
    val do_term = combterm_from_term thy
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    57
    fun do_quant bs q s T t' =
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
    58
      let val s = Name.variant (map fst bs) s in
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
    59
        do_formula ((s, T) :: bs) t'
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
    60
        #>> (fn phi => AQuant (q, [`make_bound_var s], phi))
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
    61
      end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    62
    and do_conn bs c t1 t2 =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    63
      do_formula bs t1 ##>> do_formula bs t2
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    64
      #>> (fn (phi1, phi2) => AConn (c, [phi1, phi2]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    65
    and do_formula bs t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    66
      case t of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    67
        @{const Not} $ t1 =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    68
        do_formula bs t1 #>> (fn phi => AConn (ANot, [phi]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    69
      | Const (@{const_name All}, _) $ Abs (s, T, t') =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    70
        do_quant bs AForall s T t'
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    71
      | Const (@{const_name Ex}, _) $ Abs (s, T, t') =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    72
        do_quant bs AExists s T t'
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    73
      | @{const "op &"} $ t1 $ t2 => do_conn bs AAnd t1 t2
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    74
      | @{const "op |"} $ t1 $ t2 => do_conn bs AOr t1 t2
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    75
      | @{const "op -->"} $ t1 $ t2 => do_conn bs AImplies t1 t2
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    76
      | Const (@{const_name "op ="}, Type (_, [@{typ bool}, _])) $ t1 $ t2 =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    77
        do_conn bs AIff t1 t2
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    78
      | _ => (fn ts => do_term bs (Envir.eta_contract t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    79
                       |>> AAtom ||> union (op =) ts)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    80
  in do_formula [] end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    81
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    82
(* Converts an elim-rule into an equivalent theorem that does not have the
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    83
   predicate variable. Leaves other theorems unchanged. We simply instantiate
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    84
   the conclusion variable to False. (Cf. "transform_elim_term" in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    85
   "ATP_Systems".) *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    86
fun transform_elim_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    87
  case Logic.strip_imp_concl t of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    88
    @{const Trueprop} $ Var (z, @{typ bool}) =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    89
    subst_Vars [(z, @{const False})] t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    90
  | Var (z, @{typ prop}) => subst_Vars [(z, @{prop False})] t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    91
  | _ => t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    92
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    93
fun presimplify_term thy =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    94
  Skip_Proof.make_thm thy
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    95
  #> Meson.presimplify
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    96
  #> prop_of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    97
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    98
fun concealed_bound_name j = sledgehammer_weak_prefix ^ Int.toString j
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    99
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   100
  subst_bounds (map (Free o apfst concealed_bound_name)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   101
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   102
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   103
  subst_atomic (map (fn (j, T) => (Free (concealed_bound_name j, T), Bound j))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   104
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   105
38608
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   106
(* Removes the lambdas from an equation of the form "t = (%x. u)".
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   107
   (Cf. "extensionalize_theorem" in "Clausifier".) *)
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   108
fun extensionalize_term t =
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   109
  let
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   110
    fun aux j (@{const Trueprop} $ t') = @{const Trueprop} $ aux j t'
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   111
      | aux j (t as Const (s, Type (_, [Type (_, [_, T']),
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   112
                                        Type (_, [_, res_T])]))
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   113
                    $ t2 $ Abs (var_s, var_T, t')) =
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   114
        if s = @{const_name "op ="} orelse s = @{const_name "=="} then
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   115
          let val var_t = Var ((var_s, j), var_T) in
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   116
            Const (s, T' --> T' --> res_T)
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   117
              $ betapply (t2, var_t) $ subst_bound (var_t, t')
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   118
            |> aux (j + 1)
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   119
          end
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   120
        else
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   121
          t
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   122
      | aux _ t = t
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   123
  in aux (maxidx_of_term t + 1) t end
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   124
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   125
fun introduce_combinators_in_term ctxt kind t =
38491
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   126
  let val thy = ProofContext.theory_of ctxt in
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   127
    if Meson.is_fol_term thy t then
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   128
      t
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   129
    else
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   130
      let
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   131
        fun aux Ts t =
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   132
          case t of
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   133
            @{const Not} $ t1 => @{const Not} $ aux Ts t1
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   134
          | (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') =>
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   135
            t0 $ Abs (s, T, aux (T :: Ts) t')
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   136
          | (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') =>
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   137
            t0 $ Abs (s, T, aux (T :: Ts) t')
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   138
          | (t0 as @{const "op &"}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   139
          | (t0 as @{const "op |"}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   140
          | (t0 as @{const "op -->"}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   141
          | (t0 as Const (@{const_name "op ="}, Type (_, [@{typ bool}, _])))
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   142
              $ t1 $ t2 =>
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   143
            t0 $ aux Ts t1 $ aux Ts t2
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   144
          | _ => if not (exists_subterm (fn Abs _ => true | _ => false) t) then
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   145
                   t
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   146
                 else
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   147
                   t |> conceal_bounds Ts
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   148
                     |> Envir.eta_contract
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   149
                     |> cterm_of thy
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   150
                     |> Clausifier.introduce_combinators_in_cterm
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   151
                     |> prop_of |> Logic.dest_equals |> snd
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   152
                     |> reveal_bounds Ts
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   153
        val ([t], ctxt') = Variable.import_terms true [t] ctxt
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   154
      in t |> aux [] |> singleton (Variable.export_terms ctxt' ctxt) end
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   155
      handle THM _ =>
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   156
             (* A type variable of sort "{}" will make abstraction fail. *)
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   157
             case kind of
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   158
               Axiom => HOLogic.true_const
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   159
             | Conjecture => HOLogic.false_const
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   160
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   161
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   162
(* Metis's use of "resolve_tac" freezes the schematic variables. We simulate the
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   163
   same in Sledgehammer to prevent the discovery of unreplable proofs. *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   164
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   165
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   166
    fun aux (t $ u) = aux t $ aux u
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   167
      | aux (Abs (s, T, t)) = Abs (s, T, aux t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   168
      | aux (Var ((s, i), T)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   169
        Free (sledgehammer_weak_prefix ^ s ^ "_" ^ string_of_int i, T)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   170
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   171
  in t |> exists_subterm is_Var t ? aux end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   172
38604
cda5f2000427 improve atomization
blanchet
parents: 38589
diff changeset
   173
(* "Object_Logic.atomize_term" isn't as powerful as it could be; for example,
cda5f2000427 improve atomization
blanchet
parents: 38589
diff changeset
   174
    it leaves metaequalities over "prop"s alone. *)
38605
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   175
val atomize_term =
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   176
  let
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   177
    fun aux (@{const Trueprop} $ t1) = t1
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   178
      | aux (Const (@{const_name all}, _) $ Abs (s, T, t')) =
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   179
        HOLogic.all_const T $ Abs (s, T, aux t')
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   180
      | aux (@{const "==>"} $ t1 $ t2) = HOLogic.mk_imp (pairself aux (t1, t2))
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   181
      | aux (Const (@{const_name "=="}, Type (_, [@{typ prop}, _])) $ t1 $ t2) =
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   182
        HOLogic.eq_const HOLogic.boolT $ aux t1 $ aux t2
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   183
      | aux (Const (@{const_name "=="}, Type (_, [T, _])) $ t1 $ t2) =
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   184
        HOLogic.eq_const T $ t1 $ t2
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   185
      | aux _ = raise Fail "aux"
970ee38495e4 fix atomize
blanchet
parents: 38604
diff changeset
   186
  in perhaps (try aux) end
38604
cda5f2000427 improve atomization
blanchet
parents: 38589
diff changeset
   187
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   188
(* making axiom and conjecture formulas *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   189
fun make_formula ctxt presimp (name, kind, t) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   190
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   191
    val thy = ProofContext.theory_of ctxt
38608
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   192
    val t = t |> Envir.beta_eta_contract
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   193
              |> transform_elim_term
38604
cda5f2000427 improve atomization
blanchet
parents: 38589
diff changeset
   194
              |> atomize_term
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   195
    val t = t |> fastype_of t = HOLogic.boolT ? HOLogic.mk_Trueprop
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   196
              |> extensionalize_term
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   197
              |> presimp ? presimplify_term thy
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   198
              |> perhaps (try (HOLogic.dest_Trueprop))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   199
              |> introduce_combinators_in_term ctxt kind
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   200
              |> kind = Conjecture ? freeze_term
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   201
    val (combformula, ctypes_sorts) = combformula_for_prop thy t []
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   202
  in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   203
    FOLFormula {name = name, combformula = combformula, kind = kind,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   204
                ctypes_sorts = ctypes_sorts}
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   205
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   206
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   207
fun make_axiom ctxt presimp (name, th) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   208
  (name, make_formula ctxt presimp (name, Axiom, prop_of th))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   209
fun make_conjectures ctxt ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   210
  map2 (fn j => fn t => make_formula ctxt true (Int.toString j, Conjecture, t))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   211
       (0 upto length ts - 1) ts
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   212
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   213
(** Helper facts **)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   214
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   215
fun count_combterm (CombConst ((s, _), _, _)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   216
    Symtab.map_entry s (Integer.add 1)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   217
  | count_combterm (CombVar _) = I
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   218
  | count_combterm (CombApp (t1, t2)) = fold count_combterm [t1, t2]
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   219
fun count_combformula (AQuant (_, _, phi)) = count_combformula phi
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   220
  | count_combformula (AConn (_, phis)) = fold count_combformula phis
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   221
  | count_combformula (AAtom tm) = count_combterm tm
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   222
fun count_fol_formula (FOLFormula {combformula, ...}) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   223
  count_combformula combformula
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   224
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   225
val optional_helpers =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   226
  [(["c_COMBI", "c_COMBK"], @{thms COMBI_def COMBK_def}),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   227
   (["c_COMBB", "c_COMBC"], @{thms COMBB_def COMBC_def}),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   228
   (["c_COMBS"], @{thms COMBS_def})]
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   229
val optional_typed_helpers =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   230
  [(["c_True", "c_False"], @{thms True_or_False}),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   231
   (["c_If"], @{thms if_True if_False True_or_False})]
38606
3003ddbd46d9 encode "fequal" reasoning rules in Metis problem, just as is done for Sledgehammer -- otherwise any proof that relies on "fequal" found by Sledgehammer can't be reconstructed
blanchet
parents: 38605
diff changeset
   232
val mandatory_helpers = @{thms fequal_def}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   233
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   234
val init_counters =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   235
  Symtab.make (maps (maps (map (rpair 0) o fst))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   236
                    [optional_helpers, optional_typed_helpers])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   237
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   238
fun get_helper_facts ctxt is_FO full_types conjectures axioms =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   239
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   240
    val ct = fold (fold count_fol_formula) [conjectures, axioms] init_counters
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   241
    fun is_needed c = the (Symtab.lookup ct c) > 0
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   242
  in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   243
    (optional_helpers
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   244
     |> full_types ? append optional_typed_helpers
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   245
     |> maps (fn (ss, ths) =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   246
                 if exists is_needed ss then map (`Thm.get_name_hint) ths
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   247
                 else [])) @
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   248
    (if is_FO then [] else map (`Thm.get_name_hint) mandatory_helpers)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   249
    |> map (snd o make_axiom ctxt false)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   250
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   251
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   252
fun meta_not t = @{const "==>"} $ t $ @{prop False}
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   253
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   254
fun prepare_formulas ctxt full_types hyp_ts concl_t axioms =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   255
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   256
    val thy = ProofContext.theory_of ctxt
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   257
    val axiom_ts = map (prop_of o snd) axioms
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   258
    val hyp_ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   259
      if null hyp_ts then
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   260
        []
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   261
      else
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   262
        (* Remove existing axioms from the conjecture, as this can dramatically
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   263
           boost an ATP's performance (for some reason). *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   264
        let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   265
          val axiom_table = fold (Termtab.update o rpair ()) axiom_ts
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   266
                                 Termtab.empty
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   267
        in hyp_ts |> filter_out (Termtab.defined axiom_table) end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   268
    val goal_t = Logic.list_implies (hyp_ts, concl_t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   269
    val is_FO = Meson.is_fol_term thy goal_t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   270
    val subs = tfree_classes_of_terms [goal_t]
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   271
    val supers = tvar_classes_of_terms axiom_ts
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   272
    val tycons = type_consts_of_terms thy (goal_t :: axiom_ts)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   273
    (* TFrees in the conjecture; TVars in the axioms *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   274
    val conjectures = map meta_not hyp_ts @ [concl_t] |> make_conjectures ctxt
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   275
    val (axiom_names, axioms) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   276
      ListPair.unzip (map (make_axiom ctxt true) axioms)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   277
    val helper_facts = get_helper_facts ctxt is_FO full_types conjectures axioms
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   278
    val (supers', arity_clauses) = make_arity_clauses thy tycons supers
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   279
    val class_rel_clauses = make_class_rel_clauses thy subs supers'
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   280
  in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   281
    (Vector.fromList axiom_names,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   282
     (conjectures, axioms, helper_facts, class_rel_clauses, arity_clauses))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   283
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   284
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   285
fun wrap_type ty t = ATerm ((type_wrapper_name, type_wrapper_name), [ty, t])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   286
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   287
fun fo_term_for_combtyp (CombTVar name) = ATerm (name, [])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   288
  | fo_term_for_combtyp (CombTFree name) = ATerm (name, [])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   289
  | fo_term_for_combtyp (CombType (name, tys)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   290
    ATerm (name, map fo_term_for_combtyp tys)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   291
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   292
fun fo_literal_for_type_literal (TyLitVar (class, name)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   293
    (true, ATerm (class, [ATerm (name, [])]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   294
  | fo_literal_for_type_literal (TyLitFree (class, name)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   295
    (true, ATerm (class, [ATerm (name, [])]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   296
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   297
fun formula_for_fo_literal (pos, t) = AAtom t |> not pos ? mk_anot
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   298
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   299
fun fo_term_for_combterm full_types =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   300
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   301
    fun aux top_level u =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   302
      let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   303
        val (head, args) = strip_combterm_comb u
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   304
        val (x, ty_args) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   305
          case head of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   306
            CombConst (name as (s, s'), _, ty_args) =>
38496
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   307
            let val ty_args = if full_types then [] else ty_args in
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   308
              if s = "equal" then
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   309
                if top_level andalso length args = 2 then (name, [])
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   310
                else (("c_fequal", @{const_name fequal}), ty_args)
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   311
              else if top_level then
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   312
                case s of
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   313
                  "c_False" => (("$false", s'), [])
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   314
                | "c_True" => (("$true", s'), [])
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   315
                | _ => (name, ty_args)
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   316
              else
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   317
                (name, ty_args)
dafcd0d19b11 repair translation of "c_fequal"
blanchet
parents: 38491
diff changeset
   318
            end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   319
          | CombVar (name, _) => (name, [])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   320
          | CombApp _ => raise Fail "impossible \"CombApp\""
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   321
        val t = ATerm (x, map fo_term_for_combtyp ty_args @
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   322
                          map (aux false) args)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   323
    in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   324
      if full_types then wrap_type (fo_term_for_combtyp (combtyp_of u)) t else t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   325
    end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   326
  in aux true end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   327
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   328
fun formula_for_combformula full_types =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   329
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   330
    fun aux (AQuant (q, xs, phi)) = AQuant (q, xs, aux phi)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   331
      | aux (AConn (c, phis)) = AConn (c, map aux phis)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   332
      | aux (AAtom tm) = AAtom (fo_term_for_combterm full_types tm)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   333
  in aux end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   334
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   335
fun formula_for_axiom full_types (FOLFormula {combformula, ctypes_sorts, ...}) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   336
  mk_ahorn (map (formula_for_fo_literal o fo_literal_for_type_literal)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   337
                (type_literals_for_types ctypes_sorts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   338
           (formula_for_combformula full_types combformula)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   339
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   340
fun problem_line_for_fact prefix full_types
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   341
                          (formula as FOLFormula {name, kind, ...}) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   342
  Fof (prefix ^ ascii_of name, kind, formula_for_axiom full_types formula)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   343
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   344
fun problem_line_for_class_rel_clause (ClassRelClause {name, subclass,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   345
                                                       superclass, ...}) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   346
  let val ty_arg = ATerm (("T", "T"), []) in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   347
    Fof (class_rel_clause_prefix ^ ascii_of name, Axiom,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   348
         AConn (AImplies, [AAtom (ATerm (subclass, [ty_arg])),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   349
                           AAtom (ATerm (superclass, [ty_arg]))]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   350
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   351
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   352
fun fo_literal_for_arity_literal (TConsLit (c, t, args)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   353
    (true, ATerm (c, [ATerm (t, map (fn arg => ATerm (arg, [])) args)]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   354
  | fo_literal_for_arity_literal (TVarLit (c, sort)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   355
    (false, ATerm (c, [ATerm (sort, [])]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   356
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   357
fun problem_line_for_arity_clause (ArityClause {name, conclLit, premLits,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   358
                                                ...}) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   359
  Fof (arity_clause_prefix ^ ascii_of name, Axiom,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   360
       mk_ahorn (map (formula_for_fo_literal o apfst not
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   361
                      o fo_literal_for_arity_literal) premLits)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   362
                (formula_for_fo_literal
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   363
                     (fo_literal_for_arity_literal conclLit)))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   364
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   365
fun problem_line_for_conjecture full_types
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   366
                                (FOLFormula {name, kind, combformula, ...}) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   367
  Fof (conjecture_prefix ^ name, kind,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   368
       formula_for_combformula full_types combformula)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   369
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   370
fun free_type_literals_for_conjecture (FOLFormula {ctypes_sorts, ...}) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   371
  map fo_literal_for_type_literal (type_literals_for_types ctypes_sorts)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   372
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   373
fun problem_line_for_free_type lit =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   374
  Fof (tfrees_name, Conjecture, mk_anot (formula_for_fo_literal lit))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   375
fun problem_lines_for_free_types conjectures =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   376
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   377
    val litss = map free_type_literals_for_conjecture conjectures
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   378
    val lits = fold (union (op =)) litss []
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   379
  in map problem_line_for_free_type lits end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   380
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   381
(** "hBOOL" and "hAPP" **)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   382
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   383
type const_info = {min_arity: int, max_arity: int, sub_level: bool}
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   384
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   385
fun consider_term top_level (ATerm ((s, _), ts)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   386
  (if is_tptp_variable s then
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   387
     I
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   388
   else
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   389
     let val n = length ts in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   390
       Symtab.map_default
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   391
           (s, {min_arity = n, max_arity = 0, sub_level = false})
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   392
           (fn {min_arity, max_arity, sub_level} =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   393
               {min_arity = Int.min (n, min_arity),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   394
                max_arity = Int.max (n, max_arity),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   395
                sub_level = sub_level orelse not top_level})
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   396
     end)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   397
  #> fold (consider_term (top_level andalso s = type_wrapper_name)) ts
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   398
fun consider_formula (AQuant (_, _, phi)) = consider_formula phi
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   399
  | consider_formula (AConn (_, phis)) = fold consider_formula phis
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   400
  | consider_formula (AAtom tm) = consider_term true tm
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   401
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   402
fun consider_problem_line (Fof (_, _, phi)) = consider_formula phi
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   403
fun consider_problem problem = fold (fold consider_problem_line o snd) problem
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   404
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   405
fun const_table_for_problem explicit_apply problem =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   406
  if explicit_apply then NONE
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   407
  else SOME (Symtab.empty |> consider_problem problem)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   408
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   409
fun min_arity_of thy full_types NONE s =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   410
    (if s = "equal" orelse s = type_wrapper_name orelse
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   411
        String.isPrefix type_const_prefix s orelse
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   412
        String.isPrefix class_prefix s then
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   413
       16383 (* large number *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   414
     else if full_types then
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   415
       0
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   416
     else case strip_prefix_and_undo_ascii const_prefix s of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   417
       SOME s' => num_type_args thy (invert_const s')
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   418
     | NONE => 0)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   419
  | min_arity_of _ _ (SOME the_const_tab) s =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   420
    case Symtab.lookup the_const_tab s of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   421
      SOME ({min_arity, ...} : const_info) => min_arity
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   422
    | NONE => 0
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   423
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   424
fun full_type_of (ATerm ((s, _), [ty, _])) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   425
    if s = type_wrapper_name then ty else raise Fail "expected type wrapper"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   426
  | full_type_of _ = raise Fail "expected type wrapper"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   427
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   428
fun list_hAPP_rev _ t1 [] = t1
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   429
  | list_hAPP_rev NONE t1 (t2 :: ts2) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   430
    ATerm (`I "hAPP", [list_hAPP_rev NONE t1 ts2, t2])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   431
  | list_hAPP_rev (SOME ty) t1 (t2 :: ts2) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   432
    let val ty' = ATerm (`make_fixed_type_const @{type_name fun},
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   433
                         [full_type_of t2, ty]) in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   434
      ATerm (`I "hAPP", [wrap_type ty' (list_hAPP_rev (SOME ty') t1 ts2), t2])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   435
    end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   436
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   437
fun repair_applications_in_term thy full_types const_tab =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   438
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   439
    fun aux opt_ty (ATerm (name as (s, _), ts)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   440
      if s = type_wrapper_name then
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   441
        case ts of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   442
          [t1, t2] => ATerm (name, [aux NONE t1, aux (SOME t1) t2])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   443
        | _ => raise Fail "malformed type wrapper"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   444
      else
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   445
        let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   446
          val ts = map (aux NONE) ts
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   447
          val (ts1, ts2) = chop (min_arity_of thy full_types const_tab s) ts
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   448
        in list_hAPP_rev opt_ty (ATerm (name, ts1)) (rev ts2) end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   449
  in aux NONE end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   450
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   451
fun boolify t = ATerm (`I "hBOOL", [t])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   452
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   453
(* True if the constant ever appears outside of the top-level position in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   454
   literals, or if it appears with different arities (e.g., because of different
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   455
   type instantiations). If false, the constant always receives all of its
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   456
   arguments and is used as a predicate. *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   457
fun is_predicate NONE s =
38589
b03f8fe043ec added "max_relevant_per_iter" option to Sledgehammer
blanchet
parents: 38518
diff changeset
   458
    s = "equal" orelse s = "$false" orelse s = "$true" orelse
b03f8fe043ec added "max_relevant_per_iter" option to Sledgehammer
blanchet
parents: 38518
diff changeset
   459
    String.isPrefix type_const_prefix s orelse String.isPrefix class_prefix s
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   460
  | is_predicate (SOME the_const_tab) s =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   461
    case Symtab.lookup the_const_tab s of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   462
      SOME {min_arity, max_arity, sub_level} =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   463
      not sub_level andalso min_arity = max_arity
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   464
    | NONE => false
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   465
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   466
fun repair_predicates_in_term const_tab (t as ATerm ((s, _), ts)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   467
  if s = type_wrapper_name then
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   468
    case ts of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   469
      [_, t' as ATerm ((s', _), _)] =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   470
      if is_predicate const_tab s' then t' else boolify t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   471
    | _ => raise Fail "malformed type wrapper"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   472
  else
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   473
    t |> not (is_predicate const_tab s) ? boolify
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   474
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   475
fun close_universally phi =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   476
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   477
    fun term_vars bounds (ATerm (name as (s, _), tms)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   478
        (is_tptp_variable s andalso not (member (op =) bounds name))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   479
          ? insert (op =) name
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   480
        #> fold (term_vars bounds) tms
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   481
    fun formula_vars bounds (AQuant (q, xs, phi)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   482
        formula_vars (xs @ bounds) phi
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   483
      | formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   484
      | formula_vars bounds (AAtom tm) = term_vars bounds tm
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   485
  in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   486
    case formula_vars [] phi [] of [] => phi | xs => AQuant (AForall, xs, phi)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   487
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   488
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   489
fun repair_formula thy explicit_forall full_types const_tab =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   490
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   491
    fun aux (AQuant (q, xs, phi)) = AQuant (q, xs, aux phi)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   492
      | aux (AConn (c, phis)) = AConn (c, map aux phis)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   493
      | aux (AAtom tm) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   494
        AAtom (tm |> repair_applications_in_term thy full_types const_tab
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   495
                  |> repair_predicates_in_term const_tab)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   496
  in aux #> explicit_forall ? close_universally end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   497
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   498
fun repair_problem_line thy explicit_forall full_types const_tab
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   499
                        (Fof (ident, kind, phi)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   500
  Fof (ident, kind, repair_formula thy explicit_forall full_types const_tab phi)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   501
fun repair_problem_with_const_table thy =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   502
  map o apsnd o map ooo repair_problem_line thy
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   503
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   504
fun repair_problem thy explicit_forall full_types explicit_apply problem =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   505
  repair_problem_with_const_table thy explicit_forall full_types
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   506
      (const_table_for_problem explicit_apply problem) problem
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   507
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   508
fun prepare_problem ctxt readable_names explicit_forall full_types
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   509
                    explicit_apply hyp_ts concl_t axiom_ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   510
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   511
    val thy = ProofContext.theory_of ctxt
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   512
    val (axiom_names, (conjectures, axioms, helper_facts, class_rel_clauses,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   513
                       arity_clauses)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   514
      prepare_formulas ctxt full_types hyp_ts concl_t axiom_ts
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   515
    val axiom_lines = map (problem_line_for_fact axiom_prefix full_types) axioms
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   516
    val helper_lines =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   517
      map (problem_line_for_fact helper_prefix full_types) helper_facts
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   518
    val conjecture_lines =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   519
      map (problem_line_for_conjecture full_types) conjectures
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   520
    val tfree_lines = problem_lines_for_free_types conjectures
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   521
    val class_rel_lines =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   522
      map problem_line_for_class_rel_clause class_rel_clauses
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   523
    val arity_lines = map problem_line_for_arity_clause arity_clauses
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   524
    (* Reordering these might or might not confuse the proof reconstruction
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   525
       code or the SPASS Flotter hack. *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   526
    val problem =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   527
      [("Relevant facts", axiom_lines),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   528
       ("Class relationships", class_rel_lines),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   529
       ("Arity declarations", arity_lines),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   530
       ("Helper facts", helper_lines),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   531
       ("Conjectures", conjecture_lines),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   532
       ("Type variables", tfree_lines)]
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   533
      |> repair_problem thy explicit_forall full_types explicit_apply
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   534
    val (problem, pool) = nice_tptp_problem readable_names problem
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   535
    val conjecture_offset =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   536
      length axiom_lines + length class_rel_lines + length arity_lines
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   537
      + length helper_lines
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   538
  in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   539
    (problem,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   540
     case pool of SOME the_pool => snd the_pool | NONE => Symtab.empty,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   541
     conjecture_offset, axiom_names)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   542
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   543
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   544
end;