src/HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML
author blanchet
Sun, 01 May 2011 18:37:24 +0200
changeset 42541 8938507b2054
parent 42540 77d9915e6a11
child 42542 024920b65ce2
permissions -rw-r--r--
move type declarations to the front, for TFF-compliance
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
40114
blanchet
parents: 40069
diff changeset
     1
(*  Title:      HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML
38282
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
39494
bf7dd4902321 rename "Metis_Clauses" to "Metis_Translate" for consistency with "Sledgehammer_Translate"
blanchet
parents: 39452
diff changeset
     6
Translation of HOL to FOL for Sledgehammer.
38282
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
40068
ed2869dd9bfa renamed modules
blanchet
parents: 40067
diff changeset
     9
signature SLEDGEHAMMER_ATP_TRANSLATE =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    10
sig
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
    11
  type 'a fo_term = 'a ATP_Problem.fo_term
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    12
  type 'a problem = 'a ATP_Problem.problem
40114
blanchet
parents: 40069
diff changeset
    13
  type translated_formula
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    14
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
    15
  datatype type_system =
42523
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    16
    Many_Typed |
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
    17
    Tags of bool |
42523
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    18
    Args of bool |
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    19
    Mangled of bool |
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
    20
    No_Types
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
    21
40204
da97d75e20e6 standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents: 40145
diff changeset
    22
  val fact_prefix : string
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    23
  val conjecture_prefix : string
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
    24
  val boolify_name : string
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
    25
  val explicit_app_name : string
42449
494e4ac5b0f8 detect some unsound proofs before showing them to the user
blanchet
parents: 42361
diff changeset
    26
  val is_type_system_sound : type_system -> bool
494e4ac5b0f8 detect some unsound proofs before showing them to the user
blanchet
parents: 42361
diff changeset
    27
  val type_system_types_dangerous_types : type_system -> bool
41136
30bedf58b177 implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
blanchet
parents: 41134
diff changeset
    28
  val num_atp_type_args : theory -> type_system -> string -> int
41088
54eb8e7c7f9b clarified terminology
blanchet
parents: 40204
diff changeset
    29
  val translate_atp_fact :
41990
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
    30
    Proof.context -> bool -> (string * 'a) * thm
41091
0afdf5cde874 implicitly call the minimizer for SMT solvers that don't return an unsat core
blanchet
parents: 41088
diff changeset
    31
    -> translated_formula option * ((string * 'a) * thm)
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
    32
  val unmangled_const : string -> string * string fo_term list
40059
6ad9081665db use consistent terminology in Sledgehammer: "prover = ATP or SMT solver or ..."
blanchet
parents: 39975
diff changeset
    33
  val prepare_atp_problem :
42521
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
    34
    Proof.context -> bool -> type_system -> bool -> term list -> term
41091
0afdf5cde874 implicitly call the minimizer for SMT solvers that don't return an unsat core
blanchet
parents: 41088
diff changeset
    35
    -> (translated_formula option * ((string * 'a) * thm)) list
42541
8938507b2054 move type declarations to the front, for TFF-compliance
blanchet
parents: 42540
diff changeset
    36
    -> string problem * string Symtab.table * int * int
8938507b2054 move type declarations to the front, for TFF-compliance
blanchet
parents: 42540
diff changeset
    37
       * (string * 'a) list vector
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
    38
  val atp_problem_weights : string problem -> (string * real) list
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    39
end;
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    40
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
    41
structure Sledgehammer_ATP_Translate : SLEDGEHAMMER_ATP_TRANSLATE =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    42
struct
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    43
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    44
open ATP_Problem
39494
bf7dd4902321 rename "Metis_Clauses" to "Metis_Translate" for consistency with "Sledgehammer_Translate"
blanchet
parents: 39452
diff changeset
    45
open Metis_Translate
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    46
open Sledgehammer_Util
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    47
40204
da97d75e20e6 standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents: 40145
diff changeset
    48
val fact_prefix = "fact_"
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    49
val conjecture_prefix = "conj_"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    50
val helper_prefix = "help_"
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
    51
val type_decl_prefix = "type_"
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    52
val class_rel_clause_prefix = "clrel_";
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    53
val arity_clause_prefix = "arity_"
39975
7c50d5ca5c04 avoid generating several formulas with the same name ("tfrees")
blanchet
parents: 39954
diff changeset
    54
val tfree_prefix = "tfree_"
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    55
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
    56
val boolify_name = "hBOOL"
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
    57
val explicit_app_name = "hAPP"
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    58
val is_base = "is"
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    59
val type_prefix = "ty_"
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    60
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    61
fun make_type ty = type_prefix ^ ascii_of ty
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    62
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
    63
(* official TPTP TFF syntax *)
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
    64
val tff_bool_type = "$o"
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
    65
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    66
(* Freshness almost guaranteed! *)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    67
val sledgehammer_weak_prefix = "Sledgehammer:"
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    68
40114
blanchet
parents: 40069
diff changeset
    69
type translated_formula =
38752
6628adcae4a7 consider "locality" when assigning weights to facts
blanchet
parents: 38748
diff changeset
    70
  {name: string,
42525
7a506b0b644f distinguish FOF and TFF (typed first-order) in ATP abstract syntax tree
blanchet
parents: 42524
diff changeset
    71
   kind: formula_kind,
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    72
   combformula: (name, combtyp, combterm) formula,
38752
6628adcae4a7 consider "locality" when assigning weights to facts
blanchet
parents: 38748
diff changeset
    73
   ctypes_sorts: typ list}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
    74
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
    75
datatype type_system =
42523
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    76
  Many_Typed |
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
    77
  Tags of bool |
42523
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    78
  Args of bool |
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    79
  Mangled of bool |
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
    80
  No_Types
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
    81
42523
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    82
fun is_type_system_sound Many_Typed = true
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    83
  | is_type_system_sound (Tags full_types) = full_types
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    84
  | is_type_system_sound (Args full_types) = full_types
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    85
  | is_type_system_sound (Mangled full_types) = full_types
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    86
  | is_type_system_sound No_Types = false
42449
494e4ac5b0f8 detect some unsound proofs before showing them to the user
blanchet
parents: 42361
diff changeset
    87
494e4ac5b0f8 detect some unsound proofs before showing them to the user
blanchet
parents: 42361
diff changeset
    88
fun type_system_types_dangerous_types (Tags _) = true
42523
08346ea46a59 added (without implementation yet) new type encodings for Sledgehammer/ATP
blanchet
parents: 42522
diff changeset
    89
  | type_system_types_dangerous_types type_sys = is_type_system_sound type_sys
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
    90
42524
3df98f0de5a0 remove experimental feature ("risky overload")
blanchet
parents: 42523
diff changeset
    91
fun dont_need_type_args type_sys s =
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    92
  s <> is_base andalso
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    93
  (member (op =) [@{const_name HOL.eq}, @{const_name Metis.fequal}] s orelse
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    94
   case type_sys of
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
    95
     Many_Typed => false
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    96
   | Tags full_types => full_types
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
    97
   | Args _ => false
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
    98
   | Mangled _ => false
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
    99
   | No_Types => true)
41136
30bedf58b177 implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
blanchet
parents: 41134
diff changeset
   100
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   101
datatype type_arg_policy = No_Type_Args | Explicit_Type_Args | Mangled_Types
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   102
42524
3df98f0de5a0 remove experimental feature ("risky overload")
blanchet
parents: 42523
diff changeset
   103
fun type_arg_policy type_sys s =
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   104
  if dont_need_type_args type_sys s then
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   105
    No_Type_Args
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   106
  else
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   107
    case type_sys of
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   108
      Many_Typed => Mangled_Types
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   109
    | Mangled _ => Mangled_Types
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   110
    | _ => Explicit_Type_Args
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   111
41136
30bedf58b177 implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
blanchet
parents: 41134
diff changeset
   112
fun num_atp_type_args thy type_sys s =
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   113
  if type_arg_policy type_sys s = Explicit_Type_Args then
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   114
    if s = is_base then 1 else num_type_args thy s
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   115
  else
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   116
    0
41136
30bedf58b177 implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
blanchet
parents: 41134
diff changeset
   117
42353
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   118
fun atp_type_literals_for_types type_sys kind Ts =
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   119
  if type_sys = No_Types then
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   120
    []
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   121
  else
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   122
    Ts |> type_literals_for_types
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   123
       |> filter (fn TyLitVar _ => kind <> Conjecture
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   124
                   | TyLitFree _ => kind = Conjecture)
41137
8b634031b2a5 implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents: 41136
diff changeset
   125
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   126
fun mk_anot phi = AConn (ANot, [phi])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   127
fun mk_aconn c phi1 phi2 = AConn (c, [phi1, phi2])
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   128
fun mk_aconns c phis =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   129
  let val (phis', phi') = split_last phis in
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   130
    fold_rev (mk_aconn c) phis' phi'
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   131
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   132
fun mk_ahorn [] phi = phi
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   133
  | mk_ahorn phis psi = AConn (AImplies, [mk_aconns AAnd phis, psi])
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   134
fun mk_aquant _ [] phi = phi
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   135
  | mk_aquant q xs (phi as AQuant (q', xs', phi')) =
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   136
    if q = q' then AQuant (q, xs @ xs', phi') else AQuant (q, xs, phi)
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   137
  | mk_aquant q xs phi = AQuant (q, xs, phi)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   138
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   139
fun close_universally atom_vars phi =
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   140
  let
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   141
    fun formula_vars bounds (AQuant (_, xs, phi)) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   142
        formula_vars (map fst xs @ bounds) phi
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   143
      | formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   144
      | formula_vars bounds (AAtom tm) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   145
        union (op =) (atom_vars tm []
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   146
                      |> filter_out (member (op =) bounds o fst))
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   147
  in mk_aquant AForall (formula_vars [] phi []) phi end
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   148
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   149
fun combterm_vars (CombApp (tm1, tm2)) = fold combterm_vars [tm1, tm2]
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   150
  | combterm_vars (CombConst _) = I
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   151
  | combterm_vars (CombVar (name, ty)) = insert (op =) (name, SOME ty)
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   152
val close_combformula_universally = close_universally combterm_vars
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   153
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   154
fun term_vars (ATerm (name as (s, _), tms)) =
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   155
  is_atp_variable s ? insert (op =) (name, NONE)
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   156
  #> fold term_vars tms
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   157
val close_formula_universally = close_universally term_vars
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   158
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   159
fun combformula_for_prop thy eq_as_iff =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   160
  let
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   161
    fun do_term bs t ts =
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   162
      combterm_from_term thy bs (Envir.eta_contract t)
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   163
      |>> AAtom ||> union (op =) ts
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   164
    fun do_quant bs q s T t' =
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   165
      let val s = Name.variant (map fst bs) s in
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   166
        do_formula ((s, T) :: bs) t'
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   167
        #>> mk_aquant q [(`make_bound_var s, SOME (combtyp_from_typ T))]
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   168
      end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   169
    and do_conn bs c t1 t2 =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   170
      do_formula bs t1 ##>> do_formula bs t2
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   171
      #>> uncurry (mk_aconn c)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   172
    and do_formula bs t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   173
      case t of
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   174
        @{const Not} $ t1 => do_formula bs t1 #>> mk_anot
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   175
      | 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
   176
        do_quant bs AForall s T t'
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   177
      | 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
   178
        do_quant bs AExists s T t'
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   179
      | @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   180
      | @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38752
diff changeset
   181
      | @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38829
diff changeset
   182
      | Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 =>
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   183
        if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   184
      | _ => do_term bs t
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   185
  in do_formula [] end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   186
38618
5536897d04c2 remove trivial facts
blanchet
parents: 38613
diff changeset
   187
val presimplify_term = prop_of o Meson.presimplify oo Skip_Proof.make_thm
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   188
41491
a2ad5b824051 eliminated Int.toString;
wenzelm
parents: 41406
diff changeset
   189
fun concealed_bound_name j = sledgehammer_weak_prefix ^ string_of_int j
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   190
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   191
  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
   192
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   193
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   194
  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
   195
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   196
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
   197
(* Removes the lambdas from an equation of the form "t = (%x. u)".
39890
a1695e2169d0 finished renaming file and module
blanchet
parents: 39886
diff changeset
   198
   (Cf. "extensionalize_theorem" in "Meson_Clausify".) *)
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
   199
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
   200
  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
   201
    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
   202
      | 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
   203
                                        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
   204
                    $ t2 $ Abs (var_s, var_T, t')) =
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38829
diff changeset
   205
        if s = @{const_name HOL.eq} orelse s = @{const_name "=="} then
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
   206
          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
   207
            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
   208
              $ 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
   209
            |> 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
   210
          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
   211
        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
   212
          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
   213
      | 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
   214
  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
   215
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   216
fun introduce_combinators_in_term ctxt kind t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   217
  let val thy = Proof_Context.theory_of ctxt in
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
   218
    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
   219
      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
   220
    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
   221
      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
   222
        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
   223
          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
   224
            @{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
   225
          | (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
   226
            t0 $ Abs (s, T, aux (T :: Ts) t')
38652
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   227
          | (t0 as Const (@{const_name All}, _)) $ t1 =>
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   228
            aux Ts (t0 $ eta_expand Ts t1 1)
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
   229
          | (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
   230
            t0 $ Abs (s, T, aux (T :: Ts) t')
38652
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   231
          | (t0 as Const (@{const_name Ex}, _)) $ t1 =>
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   232
            aux Ts (t0 $ eta_expand Ts t1 1)
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   233
          | (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   234
          | (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38752
diff changeset
   235
          | (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38829
diff changeset
   236
          | (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])))
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
   237
              $ 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
   238
            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
   239
          | _ => 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
   240
                   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
   241
                 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
   242
                   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
   243
                     |> 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
   244
                     |> cterm_of thy
39890
a1695e2169d0 finished renaming file and module
blanchet
parents: 39886
diff changeset
   245
                     |> Meson_Clausify.introduce_combinators_in_cterm
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
   246
                     |> 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
   247
                     |> reveal_bounds Ts
39370
f8292d3020db use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents: 39005
diff changeset
   248
        val (t, ctxt') = Variable.import_terms true [t] ctxt |>> the_single
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
   249
      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
   250
      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
   251
             (* A type variable of sort "{}" will make abstraction fail. *)
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   252
             if kind = Conjecture then HOLogic.false_const
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   253
             else HOLogic.true_const
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
   254
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   255
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   256
(* Metis's use of "resolve_tac" freezes the schematic variables. We simulate the
42353
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   257
   same in Sledgehammer to prevent the discovery of unreplayable proofs. *)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   258
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   259
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   260
    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
   261
      | 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
   262
      | aux (Var ((s, i), T)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   263
        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
   264
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   265
  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
   266
40204
da97d75e20e6 standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents: 40145
diff changeset
   267
(* making fact and conjecture formulas *)
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   268
fun make_formula ctxt eq_as_iff presimp name kind t =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   269
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   270
    val thy = Proof_Context.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
   271
    val t = t |> Envir.beta_eta_contract
38652
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   272
              |> transform_elim_term
41211
1e2e16bc0077 no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents: 41199
diff changeset
   273
              |> Object_Logic.atomize_term thy
38652
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   274
    val need_trueprop = (fastype_of t = HOLogic.boolT)
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   275
    val t = t |> need_trueprop ? HOLogic.mk_Trueprop
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   276
              |> extensionalize_term
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   277
              |> presimp ? presimplify_term thy
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   278
              |> perhaps (try (HOLogic.dest_Trueprop))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   279
              |> introduce_combinators_in_term ctxt kind
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   280
              |> kind <> Axiom ? freeze_term
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   281
    val (combformula, ctypes_sorts) = combformula_for_prop thy eq_as_iff t []
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   282
  in
38752
6628adcae4a7 consider "locality" when assigning weights to facts
blanchet
parents: 38748
diff changeset
   283
    {name = name, combformula = combformula, kind = kind,
6628adcae4a7 consider "locality" when assigning weights to facts
blanchet
parents: 38748
diff changeset
   284
     ctypes_sorts = ctypes_sorts}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   285
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   286
41990
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   287
fun make_fact ctxt keep_trivial eq_as_iff presimp ((name, _), th) =
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   288
  case (keep_trivial,
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   289
        make_formula ctxt eq_as_iff presimp name Axiom (prop_of th)) of
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   290
    (false, {combformula = AAtom (CombConst (("c_True", _), _, _)), ...}) =>
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   291
    NONE
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   292
  | (_, formula) => SOME formula
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   293
fun make_conjecture ctxt ts =
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   294
  let val last = length ts - 1 in
41491
a2ad5b824051 eliminated Int.toString;
wenzelm
parents: 41406
diff changeset
   295
    map2 (fn j => make_formula ctxt true true (string_of_int j)
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   296
                               (if j = last then Conjecture else Hypothesis))
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   297
         (0 upto last) ts
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   298
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   299
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   300
(** Helper facts **)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   301
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   302
fun fold_formula f (AQuant (_, _, phi)) = fold_formula f phi
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   303
  | fold_formula f (AConn (_, phis)) = fold (fold_formula f) phis
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   304
  | fold_formula f (AAtom tm) = f tm
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   305
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   306
fun count_term (ATerm ((s, _), tms)) =
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   307
  (if is_atp_variable s then I
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   308
   else Symtab.map_entry s (Integer.add 1))
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   309
  #> fold count_term tms
41406
062490d081b9 made SML/NJ happy;
wenzelm
parents: 41384
diff changeset
   310
fun count_formula x = fold_formula count_term x
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   311
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   312
val init_counters =
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   313
  metis_helpers |> map fst |> sort_distinct string_ord |> map (rpair 0)
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   314
  |> Symtab.make
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   315
42521
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   316
fun get_helper_facts ctxt type_sys formulas =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   317
  let
42449
494e4ac5b0f8 detect some unsound proofs before showing them to the user
blanchet
parents: 42361
diff changeset
   318
    val no_dangerous_types = type_system_types_dangerous_types type_sys
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   319
    val ct = init_counters |> fold count_formula formulas
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   320
    fun is_used s = the (Symtab.lookup ct s) > 0
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   321
    fun dub c needs_full_types (th, j) =
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   322
      ((c ^ "_" ^ string_of_int j ^ (if needs_full_types then "ft" else ""),
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   323
        false), th)
41990
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   324
    fun make_facts eq_as_iff = map_filter (make_fact ctxt false eq_as_iff false)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   325
  in
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   326
    (metis_helpers
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   327
     |> filter (is_used o fst)
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   328
     |> maps (fn (c, (needs_full_types, ths)) =>
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   329
                 if needs_full_types andalso not no_dangerous_types then
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   330
                   []
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   331
                 else
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   332
                   ths ~~ (1 upto length ths)
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   333
                   |> map (dub c needs_full_types)
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   334
                   |> make_facts (not needs_full_types)),
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   335
     if type_sys = Tags false then
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   336
       let
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   337
         fun var s = ATerm (`I s, [])
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   338
         fun tag tm = ATerm (`I type_tag_name, [var "X", tm])
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   339
       in
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   340
         [Formula (Fof, helper_prefix ^ ascii_of "ti_ti", Axiom,
42527
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   341
                   AAtom (ATerm (`I "equal",
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   342
                                 [tag (tag (var "Y")), tag (var "Y")]))
42529
747736d8b47e added "useful_info" argument to ATP formulas -- this will probably be useful later to specify intro, simp, elim to SPASS
blanchet
parents: 42528
diff changeset
   343
                   |> close_formula_universally, NONE, NONE)]
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   344
       end
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   345
     else
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   346
       [])
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   347
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   348
41990
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   349
fun translate_atp_fact ctxt keep_trivial =
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   350
  `(make_fact ctxt keep_trivial true true)
39004
f1b465f889b5 translate the axioms to FOF once and for all ATPs
blanchet
parents: 39003
diff changeset
   351
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
   352
fun translate_formulas ctxt type_sys hyp_ts concl_t rich_facts =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   353
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   354
    val thy = Proof_Context.theory_of ctxt
41091
0afdf5cde874 implicitly call the minimizer for SMT solvers that don't return an unsat core
blanchet
parents: 41088
diff changeset
   355
    val fact_ts = map (prop_of o snd o snd) rich_facts
0afdf5cde874 implicitly call the minimizer for SMT solvers that don't return an unsat core
blanchet
parents: 41088
diff changeset
   356
    val (facts, fact_names) =
0afdf5cde874 implicitly call the minimizer for SMT solvers that don't return an unsat core
blanchet
parents: 41088
diff changeset
   357
      rich_facts
0afdf5cde874 implicitly call the minimizer for SMT solvers that don't return an unsat core
blanchet
parents: 41088
diff changeset
   358
      |> map_filter (fn (NONE, _) => NONE
0afdf5cde874 implicitly call the minimizer for SMT solvers that don't return an unsat core
blanchet
parents: 41088
diff changeset
   359
                      | (SOME fact, (name, _)) => SOME (fact, name))
0afdf5cde874 implicitly call the minimizer for SMT solvers that don't return an unsat core
blanchet
parents: 41088
diff changeset
   360
      |> ListPair.unzip
40204
da97d75e20e6 standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents: 40145
diff changeset
   361
    (* Remove existing facts from the conjecture, as this can dramatically
39005
42fcb25de082 minor refactoring
blanchet
parents: 39004
diff changeset
   362
       boost an ATP's performance (for some reason). *)
40204
da97d75e20e6 standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents: 40145
diff changeset
   363
    val hyp_ts = hyp_ts |> filter_out (member (op aconv) fact_ts)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   364
    val goal_t = Logic.list_implies (hyp_ts, concl_t)
42353
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   365
    val all_ts = goal_t :: fact_ts
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   366
    val subs = tfree_classes_of_terms all_ts
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   367
    val supers = tvar_classes_of_terms all_ts
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   368
    val tycons = type_consts_of_terms thy all_ts
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   369
    val conjs = make_conjecture ctxt (hyp_ts @ [concl_t])
41137
8b634031b2a5 implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents: 41136
diff changeset
   370
    val (supers', arity_clauses) =
8b634031b2a5 implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents: 41136
diff changeset
   371
      if type_sys = No_Types then ([], [])
8b634031b2a5 implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents: 41136
diff changeset
   372
      else make_arity_clauses thy tycons supers
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   373
    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
   374
  in
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   375
    (fact_names |> map single, (conjs, facts, class_rel_clauses, arity_clauses))
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   376
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   377
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   378
fun tag_with_type ty t = ATerm (`I type_tag_name, [ty, t])
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   379
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   380
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
   381
  | 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
   382
  | fo_term_for_combtyp (CombType (name, tys)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   383
    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
   384
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   385
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
   386
    (true, ATerm (class, [ATerm (name, [])]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   387
  | 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
   388
    (true, ATerm (class, [ATerm (name, [])]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   389
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   390
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
   391
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   392
(* Finite types such as "unit", "bool", "bool * bool", and "bool => bool" are
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   393
   considered dangerous because their "exhaust" properties can easily lead to
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   394
   unsound ATP proofs. The checks below are an (unsound) approximation of
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   395
   finiteness. *)
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   396
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   397
fun is_dtyp_dangerous _ (Datatype_Aux.DtTFree _) = true
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   398
  | is_dtyp_dangerous ctxt (Datatype_Aux.DtType (s, Us)) =
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   399
    is_type_constr_dangerous ctxt s andalso forall (is_dtyp_dangerous ctxt) Us
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   400
  | is_dtyp_dangerous _ (Datatype_Aux.DtRec _) = false
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   401
and is_type_dangerous ctxt (Type (s, Ts)) =
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   402
    is_type_constr_dangerous ctxt s andalso forall (is_type_dangerous ctxt) Ts
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   403
  | is_type_dangerous _ _ = false
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   404
and is_type_constr_dangerous ctxt s =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   405
  let val thy = Proof_Context.theory_of ctxt in
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   406
    case Datatype_Data.get_info thy s of
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   407
      SOME {descr, ...} =>
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   408
      forall (fn (_, (_, _, constrs)) =>
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   409
                 forall (forall (is_dtyp_dangerous ctxt) o snd) constrs) descr
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   410
    | NONE =>
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   411
      case Typedef.get_info ctxt s of
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   412
        ({rep_type, ...}, _) :: _ => is_type_dangerous ctxt rep_type
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   413
      | [] => true
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   414
  end
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   415
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   416
fun is_combtyp_dangerous ctxt (CombType ((s, _), tys)) =
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   417
    (case strip_prefix_and_unascii type_const_prefix s of
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   418
       SOME s' => forall (is_combtyp_dangerous ctxt) tys andalso
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   419
                  is_type_constr_dangerous ctxt (invert_const s')
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   420
     | NONE => false)
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   421
  | is_combtyp_dangerous _ _ = false
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   422
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   423
fun should_tag_with_type ctxt (Tags full_types) ty =
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   424
    full_types orelse is_combtyp_dangerous ctxt ty
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   425
  | should_tag_with_type _ _ _ = false
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   426
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   427
val fname_table =
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   428
  [("c_False", (0, ("c_fFalse", @{const_name Metis.fFalse}))),
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   429
   ("c_True", (0, ("c_fTrue", @{const_name Metis.fTrue}))),
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   430
   ("c_Not", (1, ("c_fNot", @{const_name Metis.fNot}))),
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   431
   ("c_conj", (2, ("c_fconj", @{const_name Metis.fconj}))),
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   432
   ("c_disj", (2, ("c_fdisj", @{const_name Metis.fdisj}))),
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   433
   ("c_implies", (2, ("c_fimplies", @{const_name Metis.fimplies}))),
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   434
   ("equal", (2, ("c_fequal", @{const_name Metis.fequal})))]
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   435
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   436
(* We are crossing our fingers that it doesn't clash with anything else. *)
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   437
val mangled_type_sep = "\000"
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   438
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   439
fun mangled_combtyp_component f (CombTFree name) = f name
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   440
  | mangled_combtyp_component f (CombTVar name) =
42236
2088895a37c6 temporarily allow useless encoding of helper facts (e.g. fequal_def) instead of throwing exception
blanchet
parents: 42233
diff changeset
   441
    f name (* FIXME: shouldn't happen *)
2088895a37c6 temporarily allow useless encoding of helper facts (e.g. fequal_def) instead of throwing exception
blanchet
parents: 42233
diff changeset
   442
    (* raise Fail "impossible schematic type variable" *)
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   443
  | mangled_combtyp_component f (CombType (name, tys)) =
42540
77d9915e6a11 use postfix syntax for mangled types, for consistency with unmangled
blanchet
parents: 42539
diff changeset
   444
    f name ^ "(" ^ commas (map (mangled_combtyp_component f) tys) ^ ")"
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   445
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   446
fun mangled_combtyp ty =
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   447
  (make_type (mangled_combtyp_component fst ty),
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   448
   mangled_combtyp_component snd ty)
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   449
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   450
fun mangled_type_suffix f g tys =
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   451
  fold_rev (curry (op ^) o g o prefix mangled_type_sep
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   452
            o mangled_combtyp_component f) tys ""
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   453
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   454
fun mangled_const_fst ty_args s = s ^ mangled_type_suffix fst ascii_of ty_args
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   455
fun mangled_const_snd ty_args s' = s' ^ mangled_type_suffix snd I ty_args
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   456
fun mangled_const ty_args (s, s') =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   457
  (mangled_const_fst ty_args s, mangled_const_snd ty_args s')
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   458
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   459
val parse_mangled_ident =
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   460
  Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   461
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   462
fun parse_mangled_type x =
42540
77d9915e6a11 use postfix syntax for mangled types, for consistency with unmangled
blanchet
parents: 42539
diff changeset
   463
  (parse_mangled_ident
77d9915e6a11 use postfix syntax for mangled types, for consistency with unmangled
blanchet
parents: 42539
diff changeset
   464
   -- Scan.optional ($$ "(" |-- Scan.optional parse_mangled_types [] --| $$ ")")
77d9915e6a11 use postfix syntax for mangled types, for consistency with unmangled
blanchet
parents: 42539
diff changeset
   465
                    [] >> ATerm) x
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   466
and parse_mangled_types x =
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   467
  (parse_mangled_type ::: Scan.repeat ($$ "," |-- parse_mangled_type)) x
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   468
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   469
fun unmangled_type s =
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   470
  s |> suffix ")" |> raw_explode
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   471
    |> Scan.finite Symbol.stopper
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   472
           (Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   473
                                                quote s)) parse_mangled_type))
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   474
    |> fst
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   475
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   476
fun unmangled_const s =
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   477
  let val ss = space_explode mangled_type_sep s in
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   478
    (hd ss, map unmangled_type (tl ss))
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   479
  end
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   480
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   481
fun pred_combtyp ty =
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   482
  case combtyp_from_typ @{typ "unit => bool"} of
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   483
    CombType (name, [_, bool_ty]) => CombType (name, [ty, bool_ty])
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   484
  | _ => raise Fail "expected two-argument type constructor"
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   485
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   486
fun has_type_combatom ty tm =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   487
  CombApp (CombConst ((const_prefix ^ is_base, is_base), pred_combtyp ty, [ty]),
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   488
           tm)
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   489
  |> AAtom
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   490
42530
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   491
fun formula_for_combformula ctxt type_sys =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   492
  let
42530
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   493
    fun do_term top_level u =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   494
      let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   495
        val (head, args) = strip_combterm_comb u
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   496
        val (x, ty_args) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   497
          case head of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   498
            CombConst (name as (s, s'), _, ty_args) =>
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   499
            (case AList.lookup (op =) fname_table s of
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   500
               SOME (n, fname) =>
41150
54b3c9c05664 make sure first-order occurrences of "False" and "True" are handled correctly -- this broke when adding proper support for higher-order occurrences
blanchet
parents: 41149
diff changeset
   501
               (if top_level andalso length args = n then
54b3c9c05664 make sure first-order occurrences of "False" and "True" are handled correctly -- this broke when adding proper support for higher-order occurrences
blanchet
parents: 41149
diff changeset
   502
                  case s of
54b3c9c05664 make sure first-order occurrences of "False" and "True" are handled correctly -- this broke when adding proper support for higher-order occurrences
blanchet
parents: 41149
diff changeset
   503
                    "c_False" => ("$false", s')
54b3c9c05664 make sure first-order occurrences of "False" and "True" are handled correctly -- this broke when adding proper support for higher-order occurrences
blanchet
parents: 41149
diff changeset
   504
                  | "c_True" => ("$true", s')
54b3c9c05664 make sure first-order occurrences of "False" and "True" are handled correctly -- this broke when adding proper support for higher-order occurrences
blanchet
parents: 41149
diff changeset
   505
                  | _ => name
54b3c9c05664 make sure first-order occurrences of "False" and "True" are handled correctly -- this broke when adding proper support for higher-order occurrences
blanchet
parents: 41149
diff changeset
   506
                else
54b3c9c05664 make sure first-order occurrences of "False" and "True" are handled correctly -- this broke when adding proper support for higher-order occurrences
blanchet
parents: 41149
diff changeset
   507
                  fname, [])
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   508
             | NONE =>
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   509
               case strip_prefix_and_unascii const_prefix s of
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   510
                 NONE => (name, ty_args)
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   511
               | SOME s'' =>
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   512
                 let val s'' = invert_const s'' in
42524
3df98f0de5a0 remove experimental feature ("risky overload")
blanchet
parents: 42523
diff changeset
   513
                   case type_arg_policy type_sys s'' of
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   514
                     No_Type_Args => (name, [])
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   515
                   | Explicit_Type_Args => (name, ty_args)
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   516
                   | Mangled_Types => (mangled_const ty_args name, [])
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   517
                 end)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   518
          | CombVar (name, _) => (name, [])
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   519
          | CombApp _ => raise Fail "impossible \"CombApp\""
42530
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   520
        val t = ATerm (x, map fo_term_for_combtyp ty_args @
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   521
                          map (do_term false) args)
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   522
        val ty = combtyp_of u
42530
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   523
      in
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   524
        t |> (if should_tag_with_type ctxt type_sys ty then
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   525
                tag_with_type (fo_term_for_combtyp ty)
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   526
              else
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   527
                I)
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   528
      end
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   529
    val do_bound_type =
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   530
      if type_sys = Many_Typed then SOME o mangled_combtyp else K NONE
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   531
    val do_out_of_bound_type =
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   532
      if member (op =) [Args true, Mangled true] type_sys then
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   533
        (fn (s, ty) =>
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   534
            has_type_combatom ty (CombVar (s, ty))
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   535
            |> formula_for_combformula ctxt type_sys |> SOME)
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   536
      else
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   537
        K NONE
42530
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   538
    fun do_formula (AQuant (q, xs, phi)) =
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   539
        AQuant (q, xs |> map (apsnd (fn NONE => NONE
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   540
                                      | SOME ty => do_bound_type ty)),
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   541
                (if q = AForall then mk_ahorn else fold_rev (mk_aconn AAnd))
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   542
                    (map_filter
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   543
                         (fn (_, NONE) => NONE
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   544
                           | (s, SOME ty) => do_out_of_bound_type (s, ty)) xs)
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   545
                    (do_formula phi))
42530
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   546
      | do_formula (AConn (c, phis)) = AConn (c, map do_formula phis)
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   547
      | do_formula (AAtom tm) = AAtom (do_term true tm)
f64c546efe8c fixed type of ATP quantifier types (sic)
blanchet
parents: 42529
diff changeset
   548
  in do_formula end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   549
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   550
fun formula_for_fact ctxt type_sys
40204
da97d75e20e6 standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents: 40145
diff changeset
   551
                     ({combformula, ctypes_sorts, ...} : translated_formula) =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   552
  mk_ahorn (map (formula_for_fo_literal o fo_literal_for_type_literal)
42353
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   553
                (atp_type_literals_for_types type_sys Axiom ctypes_sorts))
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   554
           (formula_for_combformula ctxt type_sys
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   555
                                    (close_combformula_universally combformula))
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   556
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   557
fun logic_for_type_sys Many_Typed = Tff
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   558
  | logic_for_type_sys _ = Fof
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   559
42180
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
   560
(* Each fact is given a unique fact number to avoid name clashes (e.g., because
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
   561
   of monomorphization). The TPTP explicitly forbids name clashes, and some of
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
   562
   the remote provers might care. *)
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
   563
fun problem_line_for_fact ctxt prefix type_sys
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
   564
                          (j, formula as {name, kind, ...}) =
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   565
  Formula (logic_for_type_sys type_sys,
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   566
           prefix ^ string_of_int j ^ "_" ^ ascii_of name, kind,
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   567
           formula_for_fact ctxt type_sys formula, NONE, NONE)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   568
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   569
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
   570
                                                       superclass, ...}) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   571
  let val ty_arg = ATerm (("T", "T"), []) in
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   572
    Formula (Fof, class_rel_clause_prefix ^ ascii_of name, Axiom,
42527
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   573
             AConn (AImplies, [AAtom (ATerm (subclass, [ty_arg])),
42529
747736d8b47e added "useful_info" argument to ATP formulas -- this will probably be useful later to specify intro, simp, elim to SPASS
blanchet
parents: 42528
diff changeset
   574
                               AAtom (ATerm (superclass, [ty_arg]))]),
747736d8b47e added "useful_info" argument to ATP formulas -- this will probably be useful later to specify intro, simp, elim to SPASS
blanchet
parents: 42528
diff changeset
   575
             NONE, NONE)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   576
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   577
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   578
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
   579
    (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
   580
  | 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
   581
    (false, ATerm (c, [ATerm (sort, [])]))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   582
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   583
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
   584
                                                ...}) =
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   585
  Formula (Fof, arity_clause_prefix ^ ascii_of name, Axiom,
42527
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   586
           mk_ahorn (map (formula_for_fo_literal o apfst not
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   587
                          o fo_literal_for_arity_literal) premLits)
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   588
                    (formula_for_fo_literal
42529
747736d8b47e added "useful_info" argument to ATP formulas -- this will probably be useful later to specify intro, simp, elim to SPASS
blanchet
parents: 42528
diff changeset
   589
                         (fo_literal_for_arity_literal conclLit)), NONE, NONE)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   590
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   591
fun problem_line_for_conjecture ctxt type_sys
40114
blanchet
parents: 40069
diff changeset
   592
        ({name, kind, combformula, ...} : translated_formula) =
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   593
  Formula (logic_for_type_sys type_sys, conjecture_prefix ^ name, kind,
42527
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   594
           formula_for_combformula ctxt type_sys
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   595
                                   (close_combformula_universally combformula),
42529
747736d8b47e added "useful_info" argument to ATP formulas -- this will probably be useful later to specify intro, simp, elim to SPASS
blanchet
parents: 42528
diff changeset
   596
           NONE, NONE)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   597
42353
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   598
fun free_type_literals type_sys ({ctypes_sorts, ...} : translated_formula) =
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   599
  ctypes_sorts |> atp_type_literals_for_types type_sys Conjecture
41137
8b634031b2a5 implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents: 41136
diff changeset
   600
               |> map fo_literal_for_type_literal
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   601
39975
7c50d5ca5c04 avoid generating several formulas with the same name ("tfrees")
blanchet
parents: 39954
diff changeset
   602
fun problem_line_for_free_type j lit =
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   603
  Formula (Fof, tfree_prefix ^ string_of_int j, Hypothesis,
42529
747736d8b47e added "useful_info" argument to ATP formulas -- this will probably be useful later to specify intro, simp, elim to SPASS
blanchet
parents: 42528
diff changeset
   604
           formula_for_fo_literal lit, NONE, NONE)
42353
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   605
fun problem_lines_for_free_types type_sys facts =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   606
  let
42353
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   607
    val litss = map (free_type_literals type_sys) facts
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   608
    val lits = fold (union (op =)) litss []
39975
7c50d5ca5c04 avoid generating several formulas with the same name ("tfrees")
blanchet
parents: 39954
diff changeset
   609
  in map2 problem_line_for_free_type (0 upto length lits - 1) lits end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   610
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   611
(** "hBOOL" and "hAPP" **)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   612
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   613
type sym_info = {min_arity: int, max_arity: int, fun_sym: bool}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   614
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   615
fun consider_term_syms top_level (ATerm ((s, _), ts)) =
39452
70a57e40f795 factored out TSTP/SPASS/Vampire proof parsing;
blanchet
parents: 39370
diff changeset
   616
  (if is_atp_variable s then
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   617
     I
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   618
   else
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   619
     let val n = length ts in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   620
       Symtab.map_default
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   621
           (s, {min_arity = n, max_arity = 0, fun_sym = false})
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   622
           (fn {min_arity, max_arity, fun_sym} =>
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   623
               {min_arity = Int.min (n, min_arity),
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   624
                max_arity = Int.max (n, max_arity),
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   625
                fun_sym = fun_sym orelse not top_level})
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   626
     end)
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   627
  #> fold (consider_term_syms (top_level andalso s = type_tag_name)) ts
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   628
val consider_formula_syms = fold_formula (consider_term_syms true)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   629
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   630
fun consider_problem_line_syms (Type_Decl _) = I
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   631
  | consider_problem_line_syms (Formula (_, _, _, phi, _, _)) =
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   632
    consider_formula_syms phi
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   633
fun consider_problem_syms problem =
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   634
  fold (fold consider_problem_line_syms o snd) problem
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   635
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   636
(* The "equal" entry is needed for helper facts if the problem otherwise does
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   637
   not involve equality. *)
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   638
val default_entries =
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   639
  [("equal", {min_arity = 2, max_arity = 2, fun_sym = false})]
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   640
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   641
fun sym_table_for_problem explicit_apply problem =
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   642
  if explicit_apply then
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   643
    NONE
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   644
  else
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   645
    SOME (Symtab.empty |> fold Symtab.default default_entries
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   646
                       |> consider_problem_syms problem)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   647
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
   648
fun min_arity_of thy type_sys NONE s =
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   649
    (if s = "equal" orelse s = type_tag_name orelse
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   650
        String.isPrefix type_const_prefix s orelse
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   651
        String.isPrefix class_prefix s then
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   652
       16383 (* large number *)
38748
69fea359d3f8 renaming
blanchet
parents: 38698
diff changeset
   653
     else case strip_prefix_and_unascii const_prefix s of
42524
3df98f0de5a0 remove experimental feature ("risky overload")
blanchet
parents: 42523
diff changeset
   654
       SOME s' => s' |> unmangled_const |> fst |> invert_const
3df98f0de5a0 remove experimental feature ("risky overload")
blanchet
parents: 42523
diff changeset
   655
                     |> num_atp_type_args thy type_sys
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   656
     | NONE => 0)
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   657
  | min_arity_of _ _ (SOME sym_tab) s =
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   658
    case Symtab.lookup sym_tab s of
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   659
      SOME ({min_arity, ...} : sym_info) => min_arity
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   660
    | NONE => 0
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   661
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   662
fun full_type_of (ATerm ((s, _), [ty, _])) =
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   663
    if s = type_tag_name then SOME ty else NONE
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   664
  | full_type_of _ = NONE
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   665
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   666
fun list_hAPP_rev _ t1 [] = t1
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   667
  | list_hAPP_rev NONE t1 (t2 :: ts2) =
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   668
    ATerm (`I explicit_app_name, [list_hAPP_rev NONE t1 ts2, t2])
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   669
  | list_hAPP_rev (SOME ty) t1 (t2 :: ts2) =
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   670
    case full_type_of t2 of
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   671
      SOME ty2 =>
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   672
      let val ty' = ATerm (`make_fixed_type_const @{type_name fun},
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   673
                           [ty2, ty]) in
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   674
        ATerm (`I explicit_app_name,
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   675
               [tag_with_type ty' (list_hAPP_rev (SOME ty') t1 ts2), t2])
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   676
      end
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   677
    | NONE => list_hAPP_rev NONE t1 (t2 :: ts2)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   678
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   679
fun repair_applications_in_term thy type_sys sym_tab =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   680
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   681
    fun aux opt_ty (ATerm (name as (s, _), ts)) =
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   682
      if s = type_tag_name then
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   683
        case ts of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   684
          [t1, t2] => ATerm (name, [aux NONE t1, aux (SOME t1) t2])
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   685
        | _ => raise Fail "malformed type tag"
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   686
      else
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   687
        let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   688
          val ts = map (aux NONE) ts
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   689
          val (ts1, ts2) = chop (min_arity_of thy type_sys sym_tab s) ts
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   690
        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
   691
  in aux NONE end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   692
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   693
fun boolify t = ATerm (`I boolify_name, [t])
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   694
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   695
(* 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
   696
   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
   697
   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
   698
   arguments and is used as a predicate. *)
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   699
fun is_pred_sym NONE s =
38589
b03f8fe043ec added "max_relevant_per_iter" option to Sledgehammer
blanchet
parents: 38518
diff changeset
   700
    s = "equal" orelse s = "$false" orelse s = "$true" orelse
b03f8fe043ec added "max_relevant_per_iter" option to Sledgehammer
blanchet
parents: 38518
diff changeset
   701
    String.isPrefix type_const_prefix s orelse String.isPrefix class_prefix s
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   702
  | is_pred_sym (SOME sym_tab) s =
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   703
    case Symtab.lookup sym_tab s of
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   704
      SOME {min_arity, max_arity, fun_sym} =>
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   705
      not fun_sym andalso min_arity = max_arity
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   706
    | NONE => false
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   707
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   708
fun repair_predicates_in_term pred_sym_tab (t as ATerm ((s, _), ts)) =
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   709
  if s = type_tag_name then
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   710
    case ts of
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   711
      [_, t' as ATerm ((s', _), _)] =>
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   712
      if is_pred_sym pred_sym_tab s' then t' else boolify t
41138
eb80538166b6 implemented partially-typed "tags" type encoding
blanchet
parents: 41137
diff changeset
   713
    | _ => raise Fail "malformed type tag"
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   714
  else
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   715
    t |> not (is_pred_sym pred_sym_tab s) ? boolify
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   716
42521
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   717
fun repair_formula thy type_sys sym_tab =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   718
  let
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   719
    val pred_sym_tab = case type_sys of Tags _ => NONE | _ => sym_tab
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   720
    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
   721
      | 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
   722
      | aux (AAtom tm) =
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   723
        AAtom (tm |> repair_applications_in_term thy type_sys sym_tab
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   724
                  |> repair_predicates_in_term pred_sym_tab)
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   725
  in aux #> close_formula_universally end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   726
42527
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   727
fun repair_problem_line thy type_sys sym_tab
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   728
        (Formula (logic, ident, kind, phi, source, useful_info)) =
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   729
    Formula (logic, ident, kind, repair_formula thy type_sys sym_tab phi,
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   730
             source, useful_info)
42528
a15f0db2bcaf added support for TFF type declarations
blanchet
parents: 42527
diff changeset
   731
  | repair_problem_line _ _ _ _ = raise Fail "unexpected non-formula"
42521
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   732
fun repair_problem thy = map o apsnd o map oo repair_problem_line thy
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   733
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   734
fun is_const_relevant type_sys sym_tab unmangled_s s =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   735
  not (String.isPrefix bound_var_prefix unmangled_s) andalso
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   736
  unmangled_s <> "equal" andalso
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   737
  (type_sys = Many_Typed orelse not (is_pred_sym sym_tab s))
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   738
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   739
fun consider_combterm_consts type_sys sym_tab tm =
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   740
  let val (head, args) = strip_combterm_comb tm in
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   741
    (case head of
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   742
       CombConst ((s, s'), ty, ty_args) =>
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   743
       (* FIXME: exploit type subsumption *)
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   744
       is_const_relevant type_sys sym_tab s
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   745
                         (s |> member (op =) [Many_Typed, Mangled true] type_sys
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   746
                               ? mangled_const_fst ty_args)
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   747
       ? Symtab.insert_list (op =) (s, (s', ty_args, ty))
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   748
     | _ => I) (* FIXME: hAPP on var *)
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   749
    #> fold (consider_combterm_consts type_sys sym_tab) args
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   750
  end
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   751
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   752
fun consider_fact_consts type_sys sym_tab
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   753
                         ({combformula, ...} : translated_formula) =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   754
  fold_formula (consider_combterm_consts type_sys sym_tab) combformula
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   755
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   756
fun const_table_for_facts type_sys sym_tab facts =
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   757
  Symtab.empty |> member (op =) [Many_Typed, Args true, Mangled true] type_sys
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   758
                  ? fold (consider_fact_consts type_sys sym_tab) facts
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   759
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   760
fun strip_and_map_combtyp f (ty as CombType ((s, _), tys)) =
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   761
    (case (strip_prefix_and_unascii type_const_prefix s, tys) of
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   762
       (SOME @{type_name fun}, [dom_ty, ran_ty]) =>
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   763
       strip_and_map_combtyp f ran_ty |>> cons (f dom_ty)
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   764
     | _ => ([], f ty))
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   765
  | strip_and_map_combtyp f ty = ([], f ty)
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   766
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   767
fun type_decl_line_for_const_entry ctxt type_sys sym_tab s (s', ty_args, ty) =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   768
  if type_sys = Many_Typed then
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   769
    let
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   770
      val (arg_tys, res_ty) = strip_and_map_combtyp mangled_combtyp ty
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   771
      val (s, s') = (s, s') |> mangled_const ty_args
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   772
    in
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   773
      Type_Decl (type_decl_prefix ^ ascii_of s, (s, s'), arg_tys,
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   774
                 if is_pred_sym sym_tab s then `I tff_bool_type else res_ty)
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   775
    end
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   776
  else
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   777
    let
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   778
      val (arg_tys, res_ty) = strip_and_map_combtyp I ty
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   779
      val bounds =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   780
        map (`I o make_bound_var o string_of_int) (1 upto length arg_tys)
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   781
        ~~ map SOME arg_tys
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   782
      val bound_tms =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   783
        map (fn (name, ty) => CombConst (name, the ty, [])) bounds
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   784
    in
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   785
      Formula (Fof, type_decl_prefix ^ ascii_of s, Axiom,
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   786
               mk_aquant AForall bounds
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   787
                         (has_type_combatom res_ty
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   788
                              (fold (curry (CombApp o swap)) bound_tms
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   789
                                    (CombConst ((s, s'), ty, ty_args))))
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   790
               |> formula_for_combformula ctxt type_sys,
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   791
               NONE, NONE)
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   792
    end
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   793
fun type_decl_lines_for_const ctxt type_sys sym_tab (s, xs) =
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   794
  map (type_decl_line_for_const_entry ctxt type_sys sym_tab s) xs
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   795
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   796
fun add_extra_type_decl_lines Many_Typed =
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   797
    cons (Type_Decl (type_decl_prefix ^ boolify_name, `I boolify_name,
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   798
                     [mangled_combtyp (combtyp_from_typ @{typ bool})],
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   799
                     `I tff_bool_type))
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   800
  | add_extra_type_decl_lines _ = I
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   801
42541
8938507b2054 move type declarations to the front, for TFF-compliance
blanchet
parents: 42540
diff changeset
   802
val type_declsN = "Type declarations"
41157
blanchet
parents: 41150
diff changeset
   803
val factsN = "Relevant facts"
blanchet
parents: 41150
diff changeset
   804
val class_relsN = "Class relationships"
blanchet
parents: 41150
diff changeset
   805
val aritiesN = "Arity declarations"
blanchet
parents: 41150
diff changeset
   806
val helpersN = "Helper facts"
blanchet
parents: 41150
diff changeset
   807
val conjsN = "Conjectures"
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   808
val free_typesN = "Type variables"
41157
blanchet
parents: 41150
diff changeset
   809
blanchet
parents: 41150
diff changeset
   810
fun offset_of_heading_in_problem _ [] j = j
blanchet
parents: 41150
diff changeset
   811
  | offset_of_heading_in_problem needle ((heading, lines) :: problem) j =
blanchet
parents: 41150
diff changeset
   812
    if heading = needle then j
blanchet
parents: 41150
diff changeset
   813
    else offset_of_heading_in_problem needle problem (j + length lines)
blanchet
parents: 41150
diff changeset
   814
42521
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   815
fun prepare_atp_problem ctxt readable_names type_sys explicit_apply hyp_ts
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   816
                        concl_t facts =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   817
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   818
    val thy = Proof_Context.theory_of ctxt
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   819
    val (fact_names, (conjs, facts, class_rel_clauses, arity_clauses)) =
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
   820
      translate_formulas ctxt type_sys hyp_ts concl_t facts
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   821
    (* Reordering these might confuse the proof reconstruction code or the SPASS
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   822
       Flotter hack. *)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   823
    val problem =
42541
8938507b2054 move type declarations to the front, for TFF-compliance
blanchet
parents: 42540
diff changeset
   824
      [(type_declsN, []),
8938507b2054 move type declarations to the front, for TFF-compliance
blanchet
parents: 42540
diff changeset
   825
       (factsN, map (problem_line_for_fact ctxt fact_prefix type_sys)
42180
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
   826
                    (0 upto length facts - 1 ~~ facts)),
41157
blanchet
parents: 41150
diff changeset
   827
       (class_relsN, map problem_line_for_class_rel_clause class_rel_clauses),
blanchet
parents: 41150
diff changeset
   828
       (aritiesN, map problem_line_for_arity_clause arity_clauses),
blanchet
parents: 41150
diff changeset
   829
       (helpersN, []),
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   830
       (conjsN, map (problem_line_for_conjecture ctxt type_sys) conjs),
42353
7797efa897a1 correctly handle TFrees that occur in (local) facts -- Metis did the right thing here but Sledgehammer was incorrectly generating spurious preconditions such as "dense_linorder(t_a)"
blanchet
parents: 42237
diff changeset
   831
       (free_typesN, problem_lines_for_free_types type_sys (facts @ conjs))]
42520
d1f7c4a01dbe renamings
blanchet
parents: 42449
diff changeset
   832
    val sym_tab = sym_table_for_problem explicit_apply problem
42521
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   833
    val problem = problem |> repair_problem thy type_sys sym_tab
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   834
    val helper_facts =
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   835
      problem |> maps (map_filter (fn Formula (_, _, _, phi, _, _) => SOME phi
42528
a15f0db2bcaf added support for TFF type declarations
blanchet
parents: 42527
diff changeset
   836
                                    | _ => NONE) o snd)
42527
6a9458524f01 reintroduced constructor for formulas, and automatically detect which logic to use (TFF or FOF) to avoid clutter
blanchet
parents: 42526
diff changeset
   837
              |> get_helper_facts ctxt type_sys
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   838
    val const_tab = const_table_for_facts type_sys sym_tab (conjs @ facts)
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   839
    val type_decl_lines =
42534
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   840
      Symtab.fold_rev (append o type_decl_lines_for_const ctxt type_sys sym_tab)
46e690db16b8 fake type declarations for full-type args and mangled type encodings, so that type assumptions can be discharged
blanchet
parents: 42533
diff changeset
   841
                      const_tab []
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   842
      |> add_extra_type_decl_lines type_sys
41157
blanchet
parents: 41150
diff changeset
   843
    val helper_lines =
42521
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   844
      helper_facts
42180
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
   845
      |>> map (pair 0
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
   846
               #> problem_line_for_fact ctxt helper_prefix type_sys
42521
02df3b78a438 get rid of "explicit_forall" prover-specific option, even if that means some clutter -- foralls will be necessary to attach types to variables
blanchet
parents: 42520
diff changeset
   847
               #> repair_problem_line thy type_sys sym_tab)
41157
blanchet
parents: 41150
diff changeset
   848
      |> op @
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   849
    val (problem, pool) =
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   850
      problem |> fold (AList.update (op =))
42541
8938507b2054 move type declarations to the front, for TFF-compliance
blanchet
parents: 42540
diff changeset
   851
                      [(type_declsN, type_decl_lines), (helpersN, helper_lines)]
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   852
              |> nice_atp_problem readable_names
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   853
  in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   854
    (problem,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   855
     case pool of SOME the_pool => snd the_pool | NONE => Symtab.empty,
42541
8938507b2054 move type declarations to the front, for TFF-compliance
blanchet
parents: 42540
diff changeset
   856
     offset_of_heading_in_problem factsN problem 0,
41157
blanchet
parents: 41150
diff changeset
   857
     offset_of_heading_in_problem conjsN problem 0,
blanchet
parents: 41150
diff changeset
   858
     fact_names |> Vector.fromList)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   859
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   860
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   861
(* FUDGE *)
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   862
val conj_weight = 0.0
41770
a710e96583d5 adjust fudge factors
blanchet
parents: 41769
diff changeset
   863
val hyp_weight = 0.1
a710e96583d5 adjust fudge factors
blanchet
parents: 41769
diff changeset
   864
val fact_min_weight = 0.2
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   865
val fact_max_weight = 1.0
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   866
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   867
fun add_term_weights weight (ATerm (s, tms)) =
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   868
  (not (is_atp_variable s) andalso s <> "equal") ? Symtab.default (s, weight)
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   869
  #> fold (add_term_weights weight) tms
42538
9e3e45636459 generate pure TFF problems -- ToFoF doesn't like mixtures of FOF and TFF, even when the two logics coincide (e.g. for ground formulas)
blanchet
parents: 42534
diff changeset
   870
fun add_problem_line_weights weight (Formula (_, _, _, phi, _, _)) =
42528
a15f0db2bcaf added support for TFF type declarations
blanchet
parents: 42527
diff changeset
   871
    fold_formula (add_term_weights weight) phi
a15f0db2bcaf added support for TFF type declarations
blanchet
parents: 42527
diff changeset
   872
  | add_problem_line_weights _ _ = I
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   873
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   874
fun add_conjectures_weights [] = I
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   875
  | add_conjectures_weights conjs =
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   876
    let val (hyps, conj) = split_last conjs in
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   877
      add_problem_line_weights conj_weight conj
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   878
      #> fold (add_problem_line_weights hyp_weight) hyps
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   879
    end
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   880
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   881
fun add_facts_weights facts =
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   882
  let
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   883
    val num_facts = length facts
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   884
    fun weight_of j =
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   885
      fact_min_weight + (fact_max_weight - fact_min_weight) * Real.fromInt j
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   886
                        / Real.fromInt num_facts
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   887
  in
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   888
    map weight_of (0 upto num_facts - 1) ~~ facts
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   889
    |> fold (uncurry add_problem_line_weights)
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   890
  end
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   891
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   892
(* Weights are from 0.0 (most important) to 1.0 (least important). *)
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   893
fun atp_problem_weights problem =
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   894
  Symtab.empty
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   895
  |> add_conjectures_weights (these (AList.lookup (op =) problem conjsN))
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   896
  |> add_facts_weights (these (AList.lookup (op =) problem factsN))
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   897
  |> Symtab.dest
41726
1ef01508bb9b sort E weights
blanchet
parents: 41491
diff changeset
   898
  |> sort (prod_ord Real.compare string_ord o pairself swap)
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   899
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   900
end;