src/HOL/Tools/ATP/atp_translate.ML
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(*  Title:      HOL/Tools/ATP/atp_translate.ML
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    Author:     Fabian Immler, TU Muenchen
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    Author:     Makarius
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    Author:     Jasmin Blanchette, TU Muenchen
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Translation of HOL to FOL for Sledgehammer.
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*)
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signature ATP_TRANSLATE =
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sig
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  type ('a, 'b) ho_term = ('a, 'b) ATP_Problem.ho_term
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  type connective = ATP_Problem.connective
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  type ('a, 'b, 'c) formula = ('a, 'b, 'c) ATP_Problem.formula
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  type format = ATP_Problem.format
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  type formula_kind = ATP_Problem.formula_kind
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  type 'a problem = 'a ATP_Problem.problem
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  datatype locality =
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    General | Helper | Extensionality | Intro | Elim | Simp | Local | Assum |
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    Chained
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  datatype order = First_Order | Higher_Order
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  datatype polymorphism = Polymorphic | Monomorphic | Mangled_Monomorphic
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  datatype type_level =
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    All_Types | Noninf_Nonmono_Types | Fin_Nonmono_Types | Const_Arg_Types |
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    No_Types
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  datatype type_heaviness = Heavyweight | Lightweight
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  datatype type_enc =
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    Simple_Types of order * type_level |
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    Preds of polymorphism * type_level * type_heaviness |
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    Tags of polymorphism * type_level * type_heaviness
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  val bound_var_prefix : string
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  val schematic_var_prefix : string
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  val fixed_var_prefix : string
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  val tvar_prefix : string
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  val tfree_prefix : string
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  val const_prefix : string
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  val type_const_prefix : string
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  val class_prefix : string
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  val skolem_const_prefix : string
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  val old_skolem_const_prefix : string
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  val new_skolem_const_prefix : string
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  val type_decl_prefix : string
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  val sym_decl_prefix : string
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  val preds_sym_formula_prefix : string
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  val lightweight_tags_sym_formula_prefix : string
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  val fact_prefix : string
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  val conjecture_prefix : string
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  val helper_prefix : string
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  val class_rel_clause_prefix : string
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  val arity_clause_prefix : string
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  val tfree_clause_prefix : string
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  val typed_helper_suffix : string
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  val untyped_helper_suffix : string
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  val type_tag_idempotence_helper_name : string
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  val predicator_name : string
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  val app_op_name : string
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  val type_tag_name : string
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  val type_pred_name : string
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  val simple_type_prefix : string
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  val prefixed_predicator_name : string
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  val prefixed_app_op_name : string
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  val prefixed_type_tag_name : string
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  val ascii_of : string -> string
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  val unascii_of : string -> string
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  val strip_prefix_and_unascii : string -> string -> string option
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  val proxy_table : (string * (string * (thm * (string * string)))) list
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  val proxify_const : string -> (string * string) option
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  val invert_const : string -> string
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  val unproxify_const : string -> string
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  val new_skolem_var_name_from_const : string -> string
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  val num_type_args : theory -> string -> int
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  val atp_irrelevant_consts : string list
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  val atp_schematic_consts_of : term -> typ list Symtab.table
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  val is_locality_global : locality -> bool
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  val type_enc_from_string : string -> type_enc
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  val is_type_enc_higher_order : type_enc -> bool
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  val polymorphism_of_type_enc : type_enc -> polymorphism
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  val level_of_type_enc : type_enc -> type_level
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  val is_type_enc_virtually_sound : type_enc -> bool
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  val is_type_enc_fairly_sound : type_enc -> bool
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  val choose_format : format list -> type_enc -> format * type_enc
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  val mk_aconns :
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    connective -> ('a, 'b, 'c) formula list -> ('a, 'b, 'c) formula
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  val unmangled_const : string -> string * (string, 'b) ho_term list
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  val unmangled_const_name : string -> string
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  val helper_table : ((string * bool) * thm list) list
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  val factsN : string
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  val conceal_lambdas : Proof.context -> term -> term
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  val introduce_combinators : Proof.context -> term -> term
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  val prepare_atp_problem :
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    Proof.context -> format -> formula_kind -> formula_kind -> type_enc -> bool
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    -> bool -> (term list -> term list) -> bool -> bool -> term list -> term
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    -> ((string * locality) * term) list
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    -> string problem * string Symtab.table * int * int
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       * (string * locality) list vector * int list * int Symtab.table
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  val atp_problem_weights : string problem -> (string * real) list
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end;
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structure ATP_Translate : ATP_TRANSLATE =
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struct
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open ATP_Util
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open ATP_Problem
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type name = string * string
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val generate_info = false (* experimental *)
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fun isabelle_info s =
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  if generate_info then SOME (ATerm ("[]", [ATerm ("isabelle_" ^ s, [])]))
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  else NONE
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val introN = "intro"
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val elimN = "elim"
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val simpN = "simp"
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val bound_var_prefix = "B_"
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val schematic_var_prefix = "V_"
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val fixed_var_prefix = "v_"
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val tvar_prefix = "T_"
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val tfree_prefix = "t_"
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val const_prefix = "c_"
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val type_const_prefix = "tc_"
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val class_prefix = "cl_"
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val skolem_const_prefix = "Sledgehammer" ^ Long_Name.separator ^ "Sko"
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val old_skolem_const_prefix = skolem_const_prefix ^ "o"
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val new_skolem_const_prefix = skolem_const_prefix ^ "n"
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val type_decl_prefix = "ty_"
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val sym_decl_prefix = "sy_"
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val preds_sym_formula_prefix = "psy_"
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val lightweight_tags_sym_formula_prefix = "tsy_"
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val fact_prefix = "fact_"
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val conjecture_prefix = "conj_"
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val helper_prefix = "help_"
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val class_rel_clause_prefix = "clar_"
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val arity_clause_prefix = "arity_"
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val tfree_clause_prefix = "tfree_"
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val typed_helper_suffix = "_T"
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val untyped_helper_suffix = "_U"
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val type_tag_idempotence_helper_name = helper_prefix ^ "ti_idem"
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val predicator_name = "hBOOL"
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val app_op_name = "hAPP"
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val type_tag_name = "ti"
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val type_pred_name = "is"
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val simple_type_prefix = "ty_"
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val prefixed_predicator_name = const_prefix ^ predicator_name
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val prefixed_app_op_name = const_prefix ^ app_op_name
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val prefixed_type_tag_name = const_prefix ^ type_tag_name
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(* Freshness almost guaranteed! *)
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val sledgehammer_weak_prefix = "Sledgehammer:"
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val concealed_lambda_prefix = sledgehammer_weak_prefix ^ "lambda_"
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(*Escaping of special characters.
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  Alphanumeric characters are left unchanged.
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  The character _ goes to __
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  Characters in the range ASCII space to / go to _A to _P, respectively.
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  Other characters go to _nnn where nnn is the decimal ASCII code.*)
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val upper_a_minus_space = Char.ord #"A" - Char.ord #" "
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fun stringN_of_int 0 _ = ""
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  | stringN_of_int k n =
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    stringN_of_int (k - 1) (n div 10) ^ string_of_int (n mod 10)
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fun ascii_of_char c =
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  if Char.isAlphaNum c then
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    String.str c
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  else if c = #"_" then
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    "__"
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  else if #" " <= c andalso c <= #"/" then
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    "_" ^ String.str (Char.chr (Char.ord c + upper_a_minus_space))
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  else
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    (* fixed width, in case more digits follow *)
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    "_" ^ stringN_of_int 3 (Char.ord c)
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val ascii_of = String.translate ascii_of_char
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(** Remove ASCII armoring from names in proof files **)
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(* We don't raise error exceptions because this code can run inside a worker
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   thread. Also, the errors are impossible. *)
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val unascii_of =
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  let
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    fun un rcs [] = String.implode(rev rcs)
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      | un rcs [#"_"] = un (#"_" :: rcs) [] (* ERROR *)
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        (* Three types of _ escapes: __, _A to _P, _nnn *)
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      | un rcs (#"_" :: #"_" :: cs) = un (#"_" :: rcs) cs
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      | un rcs (#"_" :: c :: cs) =
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        if #"A" <= c andalso c<= #"P" then
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          (* translation of #" " to #"/" *)
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          un (Char.chr (Char.ord c - upper_a_minus_space) :: rcs) cs
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        else
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          let val digits = List.take (c :: cs, 3) handle General.Subscript => [] in
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            case Int.fromString (String.implode digits) of
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              SOME n => un (Char.chr n :: rcs) (List.drop (cs, 2))
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            | NONE => un (c :: #"_" :: rcs) cs (* ERROR *)
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          end
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      | un rcs (c :: cs) = un (c :: rcs) cs
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  in un [] o String.explode end
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(* If string s has the prefix s1, return the result of deleting it,
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   un-ASCII'd. *)
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fun strip_prefix_and_unascii s1 s =
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  if String.isPrefix s1 s then
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    SOME (unascii_of (String.extract (s, size s1, NONE)))
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  else
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    NONE
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val proxy_table =
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  [("c_False", (@{const_name False}, (@{thm fFalse_def},
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       ("fFalse", @{const_name ATP.fFalse})))),
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   ("c_True", (@{const_name True}, (@{thm fTrue_def},
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       ("fTrue", @{const_name ATP.fTrue})))),
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   ("c_Not", (@{const_name Not}, (@{thm fNot_def},
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       ("fNot", @{const_name ATP.fNot})))),
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   ("c_conj", (@{const_name conj}, (@{thm fconj_def},
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       ("fconj", @{const_name ATP.fconj})))),
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   ("c_disj", (@{const_name disj}, (@{thm fdisj_def},
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       ("fdisj", @{const_name ATP.fdisj})))),
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   ("c_implies", (@{const_name implies}, (@{thm fimplies_def},
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       ("fimplies", @{const_name ATP.fimplies})))),
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   ("equal", (@{const_name HOL.eq}, (@{thm fequal_def},
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       ("fequal", @{const_name ATP.fequal})))),
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   ("c_All", (@{const_name All}, (@{thm fAll_def},
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       ("fAll", @{const_name ATP.fAll})))),
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   ("c_Ex", (@{const_name Ex}, (@{thm fEx_def},
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       ("fEx", @{const_name ATP.fEx}))))]
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val proxify_const = AList.lookup (op =) proxy_table #> Option.map (snd o snd)
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(* Readable names for the more common symbolic functions. Do not mess with the
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   table unless you know what you are doing. *)
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val const_trans_table =
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  [(@{type_name Product_Type.prod}, "prod"),
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   (@{type_name Sum_Type.sum}, "sum"),
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   (@{const_name False}, "False"),
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   (@{const_name True}, "True"),
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   (@{const_name Not}, "Not"),
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   (@{const_name conj}, "conj"),
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   (@{const_name disj}, "disj"),
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   (@{const_name implies}, "implies"),
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   (@{const_name HOL.eq}, "equal"),
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   (@{const_name All}, "All"),
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   (@{const_name Ex}, "Ex"),
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   (@{const_name If}, "If"),
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   (@{const_name Set.member}, "member"),
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   (@{const_name Meson.COMBI}, "COMBI"),
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   (@{const_name Meson.COMBK}, "COMBK"),
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   (@{const_name Meson.COMBB}, "COMBB"),
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   (@{const_name Meson.COMBC}, "COMBC"),
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   (@{const_name Meson.COMBS}, "COMBS")]
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  |> Symtab.make
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  |> fold (Symtab.update o swap o snd o snd o snd) proxy_table
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(* Invert the table of translations between Isabelle and ATPs. *)
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val const_trans_table_inv =
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  const_trans_table |> Symtab.dest |> map swap |> Symtab.make
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val const_trans_table_unprox =
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  Symtab.empty
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  |> fold (fn (_, (isa, (_, (_, atp)))) => Symtab.update (atp, isa)) proxy_table
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val invert_const = perhaps (Symtab.lookup const_trans_table_inv)
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val unproxify_const = perhaps (Symtab.lookup const_trans_table_unprox)
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fun lookup_const c =
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  case Symtab.lookup const_trans_table c of
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    SOME c' => c'
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  | NONE => ascii_of c
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fun ascii_of_indexname (v, 0) = ascii_of v
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  | ascii_of_indexname (v, i) = ascii_of v ^ "_" ^ string_of_int i
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fun make_bound_var x = bound_var_prefix ^ ascii_of x
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fun make_schematic_var v = schematic_var_prefix ^ ascii_of_indexname v
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fun make_fixed_var x = fixed_var_prefix ^ ascii_of x
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fun make_schematic_type_var (x, i) =
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      tvar_prefix ^ (ascii_of_indexname (unprefix "'" x, i))
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fun make_fixed_type_var x = tfree_prefix ^ (ascii_of (unprefix "'" x))
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(* "HOL.eq" is mapped to the ATP's equality. *)
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fun make_fixed_const @{const_name HOL.eq} = tptp_old_equal
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  | make_fixed_const c = const_prefix ^ lookup_const c
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fun make_fixed_type_const c = type_const_prefix ^ lookup_const c
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fun make_type_class clas = class_prefix ^ ascii_of clas
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fun new_skolem_var_name_from_const s =
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  let val ss = s |> space_explode Long_Name.separator in
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    nth ss (length ss - 2)
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  end
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(* The number of type arguments of a constant, zero if it's monomorphic. For
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   (instances of) Skolem pseudoconstants, this information is encoded in the
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   constant name. *)
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fun num_type_args thy s =
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  if String.isPrefix skolem_const_prefix s then
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    s |> space_explode Long_Name.separator |> List.last |> Int.fromString |> the
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  else
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    (s, Sign.the_const_type thy s) |> Sign.const_typargs thy |> length
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(* These are either simplified away by "Meson.presimplify" (most of the time) or
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   handled specially via "fFalse", "fTrue", ..., "fequal". *)
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val atp_irrelevant_consts =
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  [@{const_name False}, @{const_name True}, @{const_name Not},
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   @{const_name conj}, @{const_name disj}, @{const_name implies},
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   @{const_name HOL.eq}, @{const_name If}, @{const_name Let}]
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val atp_monomorph_bad_consts =
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  atp_irrelevant_consts @
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  (* These are ignored anyway by the relevance filter (unless they appear in
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     higher-order places) but not by the monomorphizer. *)
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  [@{const_name all}, @{const_name "==>"}, @{const_name "=="},
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   @{const_name Trueprop}, @{const_name All}, @{const_name Ex},
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   @{const_name Ex1}, @{const_name Ball}, @{const_name Bex}]
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fun add_schematic_const (x as (_, T)) =
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  Monomorph.typ_has_tvars T ? Symtab.insert_list (op =) x
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val add_schematic_consts_of =
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  Term.fold_aterms (fn Const (x as (s, _)) =>
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                       not (member (op =) atp_monomorph_bad_consts s)
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                       ? add_schematic_const x
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                      | _ => I)
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fun atp_schematic_consts_of t = add_schematic_consts_of t Symtab.empty
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(** Definitions and functions for FOL clauses and formulas for TPTP **)
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(* The first component is the type class; the second is a "TVar" or "TFree". *)
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datatype type_literal =
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  TyLitVar of name * name |
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  TyLitFree of name * name
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(** Isabelle arities **)
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datatype arity_literal =
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  TConsLit of name * name * name list |
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  TVarLit of name * name
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fun gen_TVars 0 = []
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  | gen_TVars n = ("T_" ^ string_of_int n) :: gen_TVars (n-1)
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val type_class = the_single @{sort type}
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fun add_packed_sort tvar =
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  fold (fn s => s <> type_class ? cons (`make_type_class s, `I tvar))
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type arity_clause =
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  {name : string,
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   prem_lits : arity_literal list,
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   concl_lits : arity_literal}
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(* Arity of type constructor "tcon :: (arg1, ..., argN) res" *)
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fun make_axiom_arity_clause (tcons, name, (cls, args)) =
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  let
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    val tvars = gen_TVars (length args)
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    val tvars_srts = ListPair.zip (tvars, args)
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  in
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    {name = name,
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     prem_lits = [] |> fold (uncurry add_packed_sort) tvars_srts |> map TVarLit,
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     concl_lits = TConsLit (`make_type_class cls,
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                            `make_fixed_type_const tcons,
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                            tvars ~~ tvars)}
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  end
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fun arity_clause _ _ (_, []) = []
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  | arity_clause seen n (tcons, ("HOL.type", _) :: ars) =  (* ignore *)
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    arity_clause seen n (tcons, ars)
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  | arity_clause seen n (tcons, (ar as (class, _)) :: ars) =
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    if member (op =) seen class then
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      (* multiple arities for the same (tycon, class) pair *)
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      make_axiom_arity_clause (tcons,
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          lookup_const tcons ^ "___" ^ ascii_of class ^ "_" ^ string_of_int n,
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          ar) ::
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      arity_clause seen (n + 1) (tcons, ars)
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    else
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      make_axiom_arity_clause (tcons, lookup_const tcons ^ "___" ^
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                               ascii_of class, ar) ::
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      arity_clause (class :: seen) n (tcons, ars)
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fun multi_arity_clause [] = []
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  | multi_arity_clause ((tcons, ars) :: tc_arlists) =
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      arity_clause [] 1 (tcons, ars) @ multi_arity_clause tc_arlists
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(* Generate all pairs (tycon, class, sorts) such that tycon belongs to class in
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   theory thy provided its arguments have the corresponding sorts. *)
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fun type_class_pairs thy tycons classes =
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  let
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    val alg = Sign.classes_of thy
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    fun domain_sorts tycon = Sorts.mg_domain alg tycon o single
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    fun add_class tycon class =
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      cons (class, domain_sorts tycon class)
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      handle Sorts.CLASS_ERROR _ => I
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    fun try_classes tycon = (tycon, fold (add_class tycon) classes [])
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  in map try_classes tycons end
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(*Proving one (tycon, class) membership may require proving others, so iterate.*)
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fun iter_type_class_pairs _ _ [] = ([], [])
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  | iter_type_class_pairs thy tycons classes =
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      let
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        fun maybe_insert_class s =
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          (s <> type_class andalso not (member (op =) classes s))
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          ? insert (op =) s
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        val cpairs = type_class_pairs thy tycons classes
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        val newclasses =
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          [] |> fold (fold (fold (fold maybe_insert_class) o snd) o snd) cpairs
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        val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses
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      in (classes' @ classes, union (op =) cpairs' cpairs) end
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fun make_arity_clauses thy tycons =
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  iter_type_class_pairs thy tycons ##> multi_arity_clause
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(** Isabelle class relations **)
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type class_rel_clause =
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  {name : string,
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   subclass : name,
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   superclass : name}
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   433
(* Generate all pairs (sub, super) such that sub is a proper subclass of super
blanchet
parents: 43572
diff changeset
   434
   in theory "thy". *)
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   435
fun class_pairs _ [] _ = []
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   436
  | class_pairs thy subs supers =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   437
      let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   438
        val class_less = Sorts.class_less (Sign.classes_of thy)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   439
        fun add_super sub super = class_less (sub, super) ? cons (sub, super)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   440
        fun add_supers sub = fold (add_super sub) supers
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   441
      in fold add_supers subs [] end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   442
43622
blanchet
parents: 43572
diff changeset
   443
fun make_class_rel_clause (sub, super) =
blanchet
parents: 43572
diff changeset
   444
  {name = sub ^ "_" ^ super, subclass = `make_type_class sub,
43086
blanchet
parents: 43085
diff changeset
   445
   superclass = `make_type_class super}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   446
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   447
fun make_class_rel_clauses thy subs supers =
43093
blanchet
parents: 43092
diff changeset
   448
  map make_class_rel_clause (class_pairs thy subs supers)
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   449
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   450
(* intermediate terms *)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   451
datatype iterm =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   452
  IConst of name * typ * typ list |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   453
  IVar of name * typ |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   454
  IApp of iterm * iterm |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   455
  IAbs of (name * typ) * iterm
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   456
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   457
fun ityp_of (IConst (_, T, _)) = T
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   458
  | ityp_of (IVar (_, T)) = T
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   459
  | ityp_of (IApp (t1, _)) = snd (dest_funT (ityp_of t1))
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   460
  | ityp_of (IAbs ((_, T), tm)) = T --> ityp_of tm
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   461
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   462
(*gets the head of a combinator application, along with the list of arguments*)
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   463
fun strip_iterm_comb u =
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   464
  let
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   465
    fun stripc (IApp (t, u), ts) = stripc (t, u :: ts)
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   466
      | stripc x = x
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   467
  in stripc (u, []) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   468
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   469
fun atyps_of T = fold_atyps (insert (op =)) T []
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   470
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   471
fun new_skolem_const_name s num_T_args =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   472
  [new_skolem_const_prefix, s, string_of_int num_T_args]
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   473
  |> space_implode Long_Name.separator
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   474
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   475
(* Converts an Isabelle/HOL term (with combinators) into an intermediate term.
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   476
   Also accumulates sort infomation. *)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   477
fun iterm_from_term thy bs (P $ Q) =
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   478
    let
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   479
      val (P', P_atomics_Ts) = iterm_from_term thy bs P
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   480
      val (Q', Q_atomics_Ts) = iterm_from_term thy bs Q
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   481
    in (IApp (P', Q'), union (op =) P_atomics_Ts Q_atomics_Ts) end
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   482
  | iterm_from_term thy _ (Const (c, T)) =
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   483
    let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   484
      val tvar_list =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   485
        (if String.isPrefix old_skolem_const_prefix c then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   486
           [] |> Term.add_tvarsT T |> map TVar
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   487
         else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   488
           (c, T) |> Sign.const_typargs thy)
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   489
      val c' = IConst (`make_fixed_const c, T, tvar_list)
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   490
    in (c', atyps_of T) end
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   491
  | iterm_from_term _ _ (Free (v, T)) =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   492
    (IConst (`make_fixed_var v, T, []), atyps_of T)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   493
  | iterm_from_term _ _ (Var (v as (s, _), T)) =
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   494
    (if String.isPrefix Meson_Clausify.new_skolem_var_prefix s then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   495
       let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   496
         val Ts = T |> strip_type |> swap |> op ::
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   497
         val s' = new_skolem_const_name s (length Ts)
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   498
       in IConst (`make_fixed_const s', T, Ts) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   499
     else
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   500
       IVar ((make_schematic_var v, s), T), atyps_of T)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   501
  | iterm_from_term _ bs (Bound j) =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   502
    nth bs j |> (fn (s, T) => (IConst (`make_bound_var s, T, []), atyps_of T))
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   503
  | iterm_from_term thy bs (Abs (s, T, t)) =
43678
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   504
    let
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   505
      fun vary s = s |> AList.defined (op =) bs s ? vary o Symbol.bump_string
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   506
      val s = vary s
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   507
      val (tm, atomic_Ts) = iterm_from_term thy ((s, T) :: bs) t
43678
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   508
    in
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   509
      (IAbs ((`make_bound_var s, T), tm),
43677
2cd0b478d1b6 added generation of lambdas in THF
nik
parents: 43676
diff changeset
   510
       union (op =) atomic_Ts (atyps_of T))
2cd0b478d1b6 added generation of lambdas in THF
nik
parents: 43676
diff changeset
   511
    end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   512
43421
926bfe067a32 fixed soundness bug related to extensionality
blanchet
parents: 43401
diff changeset
   513
datatype locality =
926bfe067a32 fixed soundness bug related to extensionality
blanchet
parents: 43401
diff changeset
   514
  General | Helper | Extensionality | Intro | Elim | Simp | Local | Assum |
926bfe067a32 fixed soundness bug related to extensionality
blanchet
parents: 43401
diff changeset
   515
  Chained
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   516
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   517
(* (quasi-)underapproximation of the truth *)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   518
fun is_locality_global Local = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   519
  | is_locality_global Assum = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   520
  | is_locality_global Chained = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   521
  | is_locality_global _ = true
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   522
43624
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   523
datatype order = First_Order | Higher_Order
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   524
datatype polymorphism = Polymorphic | Monomorphic | Mangled_Monomorphic
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   525
datatype type_level =
43362
8d3a5b7b9a00 name tuning
blanchet
parents: 43361
diff changeset
   526
  All_Types | Noninf_Nonmono_Types | Fin_Nonmono_Types | Const_Arg_Types |
8d3a5b7b9a00 name tuning
blanchet
parents: 43361
diff changeset
   527
  No_Types
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   528
datatype type_heaviness = Heavyweight | Lightweight
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   529
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   530
datatype type_enc =
43624
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   531
  Simple_Types of order * type_level |
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   532
  Preds of polymorphism * type_level * type_heaviness |
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   533
  Tags of polymorphism * type_level * type_heaviness
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   534
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   535
fun try_unsuffixes ss s =
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   536
  fold (fn s' => fn NONE => try (unsuffix s') s | some => some) ss NONE
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   537
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   538
fun type_enc_from_string s =
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   539
  (case try (unprefix "poly_") s of
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   540
     SOME s => (SOME Polymorphic, s)
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   541
   | NONE =>
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   542
     case try (unprefix "mono_") s of
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   543
       SOME s => (SOME Monomorphic, s)
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   544
     | NONE =>
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   545
       case try (unprefix "mangled_") s of
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   546
         SOME s => (SOME Mangled_Monomorphic, s)
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   547
       | NONE => (NONE, s))
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   548
  ||> (fn s =>
43624
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   549
          (* "_query" and "_bang" are for the ASCII-challenged Metis and
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   550
             Mirabelle. *)
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   551
          case try_unsuffixes ["?", "_query"] s of
43362
8d3a5b7b9a00 name tuning
blanchet
parents: 43361
diff changeset
   552
            SOME s => (Noninf_Nonmono_Types, s)
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   553
          | NONE =>
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   554
            case try_unsuffixes ["!", "_bang"] s of
43362
8d3a5b7b9a00 name tuning
blanchet
parents: 43361
diff changeset
   555
              SOME s => (Fin_Nonmono_Types, s)
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   556
            | NONE => (All_Types, s))
42828
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   557
  ||> apsnd (fn s =>
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   558
                case try (unsuffix "_heavy") s of
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   559
                  SOME s => (Heavyweight, s)
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   560
                | NONE => (Lightweight, s))
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   561
  |> (fn (poly, (level, (heaviness, core))) =>
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   562
         case (core, (poly, level, heaviness)) of
43624
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   563
           ("simple", (NONE, _, Lightweight)) =>
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   564
           Simple_Types (First_Order, level)
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   565
         | ("simple_higher", (NONE, _, Lightweight)) =>
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   566
           if level = Noninf_Nonmono_Types then raise Same.SAME
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   567
           else Simple_Types (Higher_Order, level)
42854
d99167ac4f8a since we always default on the "_light" encoding (for good reasons, according to Judgment Day), get rid of that suffix
blanchet
parents: 42852
diff changeset
   568
         | ("preds", (SOME poly, _, _)) => Preds (poly, level, heaviness)
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   569
         | ("tags", (SOME Polymorphic, _, _)) =>
43361
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
   570
           Tags (Polymorphic, level, heaviness)
42854
d99167ac4f8a since we always default on the "_light" encoding (for good reasons, according to Judgment Day), get rid of that suffix
blanchet
parents: 42852
diff changeset
   571
         | ("tags", (SOME poly, _, _)) => Tags (poly, level, heaviness)
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   572
         | ("args", (SOME poly, All_Types (* naja *), Lightweight)) =>
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   573
           Preds (poly, Const_Arg_Types, Lightweight)
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   574
         | ("erased", (NONE, All_Types (* naja *), Lightweight)) =>
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   575
           Preds (Polymorphic, No_Types, Lightweight)
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   576
         | _ => raise Same.SAME)
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   577
  handle Same.SAME => error ("Unknown type system: " ^ quote s ^ ".")
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   578
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   579
fun is_type_enc_higher_order (Simple_Types (Higher_Order, _)) = true
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   580
  | is_type_enc_higher_order _ = false
43624
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   581
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   582
fun polymorphism_of_type_enc (Simple_Types _) = Mangled_Monomorphic
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   583
  | polymorphism_of_type_enc (Preds (poly, _, _)) = poly
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   584
  | polymorphism_of_type_enc (Tags (poly, _, _)) = poly
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   585
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   586
fun level_of_type_enc (Simple_Types (_, level)) = level
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   587
  | level_of_type_enc (Preds (_, level, _)) = level
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   588
  | level_of_type_enc (Tags (_, level, _)) = level
42828
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   589
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   590
fun heaviness_of_type_enc (Simple_Types _) = Heavyweight
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   591
  | heaviness_of_type_enc (Preds (_, _, heaviness)) = heaviness
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   592
  | heaviness_of_type_enc (Tags (_, _, heaviness)) = heaviness
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   593
42687
blanchet
parents: 42685
diff changeset
   594
fun is_type_level_virtually_sound level =
43362
8d3a5b7b9a00 name tuning
blanchet
parents: 43361
diff changeset
   595
  level = All_Types orelse level = Noninf_Nonmono_Types
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   596
val is_type_enc_virtually_sound =
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   597
  is_type_level_virtually_sound o level_of_type_enc
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   598
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   599
fun is_type_level_fairly_sound level =
43362
8d3a5b7b9a00 name tuning
blanchet
parents: 43361
diff changeset
   600
  is_type_level_virtually_sound level orelse level = Fin_Nonmono_Types
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   601
val is_type_enc_fairly_sound = is_type_level_fairly_sound o level_of_type_enc
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   602
43624
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   603
fun choose_format formats (Simple_Types (order, level)) =
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   604
    if member (op =) formats THF then
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   605
      (THF, Simple_Types (order, level))
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   606
    else if member (op =) formats TFF then
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   607
      (TFF, Simple_Types (First_Order, level))
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   608
    else
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   609
      choose_format formats (Preds (Mangled_Monomorphic, level, Heavyweight))
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   610
  | choose_format formats type_enc =
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   611
    (case hd formats of
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   612
       CNF_UEQ =>
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   613
       (CNF_UEQ, case type_enc of
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   614
                   Preds stuff =>
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   615
                   (if is_type_enc_fairly_sound type_enc then Tags else Preds)
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   616
                       stuff
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   617
                 | _ => type_enc)
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   618
     | format => (format, type_enc))
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   619
40114
blanchet
parents: 40069
diff changeset
   620
type translated_formula =
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   621
  {name : string,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   622
   locality : locality,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   623
   kind : formula_kind,
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   624
   iformula : (name, typ, iterm) formula,
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   625
   atomic_types : typ list}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   626
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   627
fun update_iformula f ({name, locality, kind, iformula, atomic_types}
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   628
                       : translated_formula) =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   629
  {name = name, locality = locality, kind = kind, iformula = f iformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   630
   atomic_types = atomic_types} : translated_formula
42542
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   631
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   632
fun fact_lift f ({iformula, ...} : translated_formula) = f iformula
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
   633
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   634
val type_instance = Sign.typ_instance o Proof_Context.theory_of
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   635
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   636
fun insert_type ctxt get_T x xs =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   637
  let val T = get_T x in
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   638
    if exists (curry (type_instance ctxt) T o get_T) xs then xs
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   639
    else x :: filter_out (curry (type_instance ctxt o swap) T o get_T) xs
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   640
  end
42677
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   641
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   642
(* The Booleans indicate whether all type arguments should be kept. *)
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   643
datatype type_arg_policy =
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   644
  Explicit_Type_Args of bool |
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   645
  Mangled_Type_Args of bool |
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   646
  No_Type_Args
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
   647
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   648
fun should_drop_arg_type_args (Simple_Types _) =
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   649
    false (* since TFF doesn't support overloading *)
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   650
  | should_drop_arg_type_args type_enc =
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   651
    level_of_type_enc type_enc = All_Types andalso
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   652
    heaviness_of_type_enc type_enc = Heavyweight
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   653
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   654
fun type_arg_policy type_enc s =
43628
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   655
  if s = type_tag_name then
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   656
    (if polymorphism_of_type_enc type_enc = Mangled_Monomorphic then
43623
e096b1effbbb mangle "ti" tags
blanchet
parents: 43622
diff changeset
   657
       Mangled_Type_Args
e096b1effbbb mangle "ti" tags
blanchet
parents: 43622
diff changeset
   658
     else
e096b1effbbb mangle "ti" tags
blanchet
parents: 43622
diff changeset
   659
       Explicit_Type_Args) false
43628
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   660
  else case type_enc of
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   661
    Tags (_, All_Types, Heavyweight) => No_Type_Args
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   662
  | _ =>
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   663
    if level_of_type_enc type_enc = No_Types orelse
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   664
       s = @{const_name HOL.eq} orelse
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   665
       (s = app_op_name andalso
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   666
        level_of_type_enc type_enc = Const_Arg_Types) then
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   667
      No_Type_Args
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   668
    else
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   669
      should_drop_arg_type_args type_enc
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   670
      |> (if polymorphism_of_type_enc type_enc = Mangled_Monomorphic then
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   671
            Mangled_Type_Args
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   672
          else
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   673
            Explicit_Type_Args)
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   674
43628
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   675
(* Make literals for sorted type variables. *)
43263
blanchet
parents: 43259
diff changeset
   676
fun generic_add_sorts_on_type (_, []) = I
blanchet
parents: 43259
diff changeset
   677
  | generic_add_sorts_on_type ((x, i), s :: ss) =
blanchet
parents: 43259
diff changeset
   678
    generic_add_sorts_on_type ((x, i), ss)
blanchet
parents: 43259
diff changeset
   679
    #> (if s = the_single @{sort HOL.type} then
43093
blanchet
parents: 43092
diff changeset
   680
          I
blanchet
parents: 43092
diff changeset
   681
        else if i = ~1 then
43263
blanchet
parents: 43259
diff changeset
   682
          insert (op =) (TyLitFree (`make_type_class s, `make_fixed_type_var x))
43093
blanchet
parents: 43092
diff changeset
   683
        else
43263
blanchet
parents: 43259
diff changeset
   684
          insert (op =) (TyLitVar (`make_type_class s,
blanchet
parents: 43259
diff changeset
   685
                                   (make_schematic_type_var (x, i), x))))
blanchet
parents: 43259
diff changeset
   686
fun add_sorts_on_tfree (TFree (s, S)) = generic_add_sorts_on_type ((s, ~1), S)
blanchet
parents: 43259
diff changeset
   687
  | add_sorts_on_tfree _ = I
blanchet
parents: 43259
diff changeset
   688
fun add_sorts_on_tvar (TVar z) = generic_add_sorts_on_type z
blanchet
parents: 43259
diff changeset
   689
  | add_sorts_on_tvar _ = I
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   690
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   691
fun type_literals_for_types type_enc add_sorts_on_typ Ts =
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   692
  [] |> level_of_type_enc type_enc <> No_Types ? fold add_sorts_on_typ Ts
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
   693
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
   694
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
   695
  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
   696
    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
   697
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   698
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
   699
  | 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
   700
fun mk_aquant _ [] phi = phi
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   701
  | 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
   702
    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
   703
  | 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
   704
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   705
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
   706
  let
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   707
    fun formula_vars bounds (AQuant (_, xs, phi)) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   708
        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
   709
      | 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
   710
      | formula_vars bounds (AAtom tm) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   711
        union (op =) (atom_vars tm []
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   712
                      |> 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
   713
  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
   714
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   715
fun iterm_vars (IApp (tm1, tm2)) = fold iterm_vars [tm1, tm2]
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   716
  | iterm_vars (IConst _) = I
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   717
  | iterm_vars (IVar (name, T)) = insert (op =) (name, SOME T)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   718
  | iterm_vars (IAbs (_, tm)) = iterm_vars tm
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   719
fun close_iformula_universally phi = close_universally iterm_vars phi
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   720
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   721
fun term_vars bounds (ATerm (name as (s, _), tms)) =
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   722
    (is_tptp_variable s andalso not (member (op =) bounds name))
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   723
    ? insert (op =) (name, NONE) #> fold (term_vars bounds) tms
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   724
  | term_vars bounds (AAbs ((name, _), tm)) = term_vars (name :: bounds) tm
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   725
fun close_formula_universally phi = close_universally (term_vars []) phi
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   726
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   727
val homo_infinite_type_name = @{type_name ind} (* any infinite type *)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   728
val homo_infinite_type = Type (homo_infinite_type_name, [])
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   729
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   730
fun ho_term_from_typ format type_enc =
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   731
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   732
    fun term (Type (s, Ts)) =
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   733
      ATerm (case (is_type_enc_higher_order type_enc, s) of
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   734
               (true, @{type_name bool}) => `I tptp_bool_type
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   735
             | (true, @{type_name fun}) => `I tptp_fun_type
43178
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   736
             | _ => if s = homo_infinite_type_name andalso
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   737
                       (format = TFF orelse format = THF) then
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   738
                      `I tptp_individual_type
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   739
                    else
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   740
                      `make_fixed_type_const s,
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   741
             map term Ts)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   742
    | term (TFree (s, _)) = ATerm (`make_fixed_type_var s, [])
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   743
    | term (TVar ((x as (s, _)), _)) =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   744
      ATerm ((make_schematic_type_var x, s), [])
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   745
  in term end
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   746
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   747
fun ho_term_for_type_arg format type_enc T =
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   748
  if T = dummyT then NONE else SOME (ho_term_from_typ format type_enc T)
43401
e93dfcb53535 fixed soundness bug made more visible by previous change
blanchet
parents: 43399
diff changeset
   749
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   750
(* This shouldn't clash with anything else. *)
42542
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   751
val mangled_type_sep = "\000"
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   752
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   753
fun generic_mangled_type_name f (ATerm (name, [])) = f name
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   754
  | generic_mangled_type_name f (ATerm (name, tys)) =
42761
8ea9c6fa8b53 fixed several bugs in Isar proof reconstruction, in particular w.r.t. mangled types and hAPP
blanchet
parents: 42755
diff changeset
   755
    f name ^ "(" ^ space_implode "," (map (generic_mangled_type_name f) tys)
8ea9c6fa8b53 fixed several bugs in Isar proof reconstruction, in particular w.r.t. mangled types and hAPP
blanchet
parents: 42755
diff changeset
   756
    ^ ")"
43692
264881a20f50 make SML/NJ happy + tuning
blanchet
parents: 43678
diff changeset
   757
  | generic_mangled_type_name _ _ = raise Fail "unexpected type abstraction"
42542
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   758
42998
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
   759
val bool_atype = AType (`I tptp_bool_type)
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
   760
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   761
fun make_simple_type s =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   762
  if s = tptp_bool_type orelse s = tptp_fun_type orelse
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   763
     s = tptp_individual_type then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   764
    s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   765
  else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   766
    simple_type_prefix ^ ascii_of s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   767
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   768
fun ho_type_from_ho_term type_enc pred_sym ary =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   769
  let
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   770
    fun to_atype ty =
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   771
      AType ((make_simple_type (generic_mangled_type_name fst ty),
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   772
              generic_mangled_type_name snd ty))
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   773
    fun to_afun f1 f2 tys = AFun (f1 (hd tys), f2 (nth tys 1))
42998
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
   774
    fun to_fo 0 ty = if pred_sym then bool_atype else to_atype ty
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   775
      | to_fo ary (ATerm (_, tys)) = to_afun to_atype (to_fo (ary - 1)) tys
43692
264881a20f50 make SML/NJ happy + tuning
blanchet
parents: 43678
diff changeset
   776
      | to_fo _ _ = raise Fail "unexpected type abstraction"
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   777
    fun to_ho (ty as ATerm ((s, _), tys)) =
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   778
        if s = tptp_fun_type then to_afun to_ho to_ho tys else to_atype ty
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   779
      | to_ho _ = raise Fail "unexpected type abstraction"
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   780
  in if is_type_enc_higher_order type_enc then to_ho else to_fo ary end
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   781
43677
2cd0b478d1b6 added generation of lambdas in THF
nik
parents: 43676
diff changeset
   782
fun ho_type_from_typ format type_enc pred_sym ary =
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   783
  ho_type_from_ho_term type_enc pred_sym ary
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   784
  o ho_term_from_typ format type_enc
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   785
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   786
fun mangled_const_name format type_enc T_args (s, s') =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   787
  let
43676
3b0b448b4d69 add support for lambdas in TPTP THF generator + killed an unsound type encoding (because the monotonicity calculus assumes first-order)
nik
parents: 43628
diff changeset
   788
    val ty_args = T_args |> map_filter (ho_term_for_type_arg format type_enc)
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   789
    fun type_suffix f g =
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   790
      fold_rev (curry (op ^) o g o prefix mangled_type_sep
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   791
                o generic_mangled_type_name f) ty_args ""
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   792
  in (s ^ type_suffix fst ascii_of, s' ^ type_suffix snd I) end
42542
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   793
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   794
val parse_mangled_ident =
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   795
  Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   796
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   797
fun parse_mangled_type x =
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   798
  (parse_mangled_ident
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   799
   -- Scan.optional ($$ "(" |-- Scan.optional parse_mangled_types [] --| $$ ")")
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   800
                    [] >> ATerm) x
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   801
and parse_mangled_types x =
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   802
  (parse_mangled_type ::: Scan.repeat ($$ "," |-- parse_mangled_type)) x
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   803
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   804
fun unmangled_type s =
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   805
  s |> suffix ")" |> raw_explode
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   806
    |> Scan.finite Symbol.stopper
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   807
           (Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   808
                                                quote s)) parse_mangled_type))
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   809
    |> fst
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   810
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   811
val unmangled_const_name = space_explode mangled_type_sep #> hd
42542
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   812
fun unmangled_const s =
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   813
  let val ss = space_explode mangled_type_sep s in
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   814
    (hd ss, map unmangled_type (tl ss))
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   815
  end
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   816
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   817
fun introduce_proxies type_enc =
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   818
  let
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   819
    fun intro top_level (IApp (tm1, tm2)) =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   820
        IApp (intro top_level tm1, intro false tm2)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   821
      | intro top_level (IConst (name as (s, _), T, T_args)) =
42570
77f94ac04f32 cleanup proxification/unproxification and make sure that "num_atp_type_args" is called on the proxy in the reconstruction code, since "c_fequal" has one type arg but the unproxified equal has 0
blanchet
parents: 42569
diff changeset
   822
        (case proxify_const s of
43159
29b55f292e0b added support for helpers in new Metis, so far only for polymorphic type encodings
blanchet
parents: 43139
diff changeset
   823
           SOME proxy_base =>
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   824
           if top_level orelse is_type_enc_higher_order type_enc then
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   825
             case (top_level, s) of
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   826
               (_, "c_False") => (`I tptp_false, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   827
             | (_, "c_True") => (`I tptp_true, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   828
             | (false, "c_Not") => (`I tptp_not, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   829
             | (false, "c_conj") => (`I tptp_and, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   830
             | (false, "c_disj") => (`I tptp_or, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   831
             | (false, "c_implies") => (`I tptp_implies, [])
43678
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   832
             | (false, "c_All") => (`I tptp_ho_forall, [])
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   833
             | (false, "c_Ex") => (`I tptp_ho_exists, [])
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   834
             | (false, s) =>
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   835
               if is_tptp_equal s then (`I tptp_equal, [])
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   836
               else (proxy_base |>> prefix const_prefix, T_args)
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   837
             | _ => (name, [])
42569
5737947e4c77 make sure that fequal keeps its type arguments for mangled type systems
blanchet
parents: 42568
diff changeset
   838
           else
42574
blanchet
parents: 42573
diff changeset
   839
             (proxy_base |>> prefix const_prefix, T_args)
blanchet
parents: 42573
diff changeset
   840
          | NONE => (name, T_args))
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   841
        |> (fn (name, T_args) => IConst (name, T, T_args))
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   842
      | intro _ (IAbs (bound, tm)) = IAbs (bound, intro false tm)
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   843
      | intro _ tm = tm
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   844
  in intro true end
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   845
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   846
fun iformula_from_prop thy type_enc eq_as_iff =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   847
  let
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   848
    fun do_term bs t atomic_types =
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   849
      iterm_from_term thy bs (Envir.eta_contract t)
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   850
      |>> (introduce_proxies type_enc #> AAtom)
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   851
      ||> union (op =) atomic_types
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   852
    fun do_quant bs q s T t' =
43324
2b47822868e4 discontinued Name.variant to emphasize that this is old-style / indirect;
wenzelm
parents: 43304
diff changeset
   853
      let val s = singleton (Name.variant_list (map fst bs)) s in
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   854
        do_formula ((s, T) :: bs) t'
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   855
        #>> mk_aquant q [(`make_bound_var s, SOME T)]
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   856
      end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   857
    and do_conn bs c t1 t2 =
43198
7a2bc89ac48e whitespace tuning
blanchet
parents: 43194
diff changeset
   858
      do_formula bs t1 ##>> do_formula bs t2 #>> uncurry (mk_aconn c)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   859
    and do_formula bs t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   860
      case t of
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   861
        @{const Trueprop} $ t1 => do_formula bs t1
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   862
      | @{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
   863
      | 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
   864
        do_quant bs AForall s T t'
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   865
      | 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
   866
        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
   867
      | @{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
   868
      | @{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
   869
      | @{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
   870
      | 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
   871
        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
   872
      | _ => do_term bs t
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   873
  in do_formula [] end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   874
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   875
fun presimplify_term _ [] t = t
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   876
  | presimplify_term ctxt presimp_consts t =
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   877
    t |> exists_Const (member (op =) presimp_consts o fst) t
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   878
         ? (Skip_Proof.make_thm (Proof_Context.theory_of ctxt)
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   879
            #> Meson.presimplify ctxt
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   880
            #> prop_of)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   881
41491
a2ad5b824051 eliminated Int.toString;
wenzelm
parents: 41406
diff changeset
   882
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
   883
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   884
  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
   885
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   886
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   887
  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
   888
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   889
43265
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   890
fun is_fun_equality (@{const_name HOL.eq},
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   891
                     Type (_, [Type (@{type_name fun}, _), _])) = true
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   892
  | is_fun_equality _ = false
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   893
42747
f132d13fcf75 use the same code for extensionalization in Metis and Sledgehammer and generalize that code so that it gracefully handles negations (e.g. negated conjecture), formulas of the form (%x. t) = u, etc.
blanchet
parents: 42742
diff changeset
   894
fun extensionalize_term ctxt t =
43265
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   895
  if exists_Const is_fun_equality t then
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   896
    let val thy = Proof_Context.theory_of ctxt in
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   897
      t |> cterm_of thy |> Meson.extensionalize_conv ctxt
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   898
        |> prop_of |> Logic.dest_equals |> snd
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   899
    end
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   900
  else
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   901
    t
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
   902
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   903
fun generic_translate_lambdas do_lambdas ctxt t =
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   904
  let
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   905
    fun aux Ts t =
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   906
      case t of
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   907
        @{const Not} $ t1 => @{const Not} $ aux Ts t1
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   908
      | (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') =>
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   909
        t0 $ Abs (s, T, aux (T :: Ts) t')
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   910
      | (t0 as Const (@{const_name All}, _)) $ t1 =>
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   911
        aux Ts (t0 $ eta_expand Ts t1 1)
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   912
      | (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') =>
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   913
        t0 $ Abs (s, T, aux (T :: Ts) t')
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   914
      | (t0 as Const (@{const_name Ex}, _)) $ t1 =>
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   915
        aux Ts (t0 $ eta_expand Ts t1 1)
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   916
      | (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   917
      | (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   918
      | (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   919
      | (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])))
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   920
          $ t1 $ t2 =>
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   921
        t0 $ aux Ts t1 $ aux Ts t2
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   922
      | _ =>
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   923
        if not (exists_subterm (fn Abs _ => true | _ => false) t) then t
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   924
        else t |> Envir.eta_contract |> do_lambdas ctxt Ts
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   925
    val (t, ctxt') = Variable.import_terms true [t] ctxt |>> the_single
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   926
  in t |> aux [] |> singleton (Variable.export_terms ctxt' ctxt) end
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   927
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   928
fun do_conceal_lambdas Ts (t1 $ t2) =
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   929
    do_conceal_lambdas Ts t1 $ do_conceal_lambdas Ts t2
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   930
  | do_conceal_lambdas Ts (Abs (_, T, t)) =
43828
e07a2c4cbad8 move lambda translation option from ATP to Sledgehammer, to avoid accidentally breaking Metis (its reconstruction code can only deal with combinators)
blanchet
parents: 43827
diff changeset
   931
    (* slightly unsound because of hash collisions *)
43827
62d64709af3b added option to control which lambda translation to use (for experiments)
blanchet
parents: 43693
diff changeset
   932
    Free (concealed_lambda_prefix ^ string_of_int (hash_term t),
62d64709af3b added option to control which lambda translation to use (for experiments)
blanchet
parents: 43693
diff changeset
   933
          T --> fastype_of1 (Ts, t))
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   934
  | do_conceal_lambdas _ t = t
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   935
val conceal_lambdas = generic_translate_lambdas (K do_conceal_lambdas)
43827
62d64709af3b added option to control which lambda translation to use (for experiments)
blanchet
parents: 43693
diff changeset
   936
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   937
fun do_introduce_combinators ctxt Ts =
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   938
  let val thy = Proof_Context.theory_of ctxt in
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   939
    conceal_bounds Ts
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   940
    #> cterm_of thy
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   941
    #> Meson_Clausify.introduce_combinators_in_cterm
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   942
    #> prop_of #> Logic.dest_equals #> snd
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   943
    #> reveal_bounds Ts
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   944
  end
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   945
val introduce_combinators = generic_translate_lambdas do_introduce_combinators
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   946
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   947
fun process_abstractions_in_term ctxt trans_lambdas kind t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   948
  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
   949
    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
   950
      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
   951
    else
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   952
      t |> singleton trans_lambdas
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
   953
      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
   954
             (* 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
   955
             if kind = Conjecture then HOLogic.false_const
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   956
             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
   957
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   958
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   959
(* 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
   960
   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
   961
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   962
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   963
    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
   964
      | 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
   965
      | aux (Var ((s, i), T)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   966
        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
   967
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   968
  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
   969
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   970
fun preprocess_prop ctxt trans_lambdas presimp_consts kind t =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   971
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   972
    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
   973
    val t = t |> Envir.beta_eta_contract
42944
9e620869a576 improved Waldmeister support -- even run it by default on unit equational goals
blanchet
parents: 42943
diff changeset
   974
              |> transform_elim_prop
41211
1e2e16bc0077 no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents: 41199
diff changeset
   975
              |> Object_Logic.atomize_term thy
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   976
    val need_trueprop = (fastype_of t = @{typ bool})
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   977
  in
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   978
    t |> need_trueprop ? HOLogic.mk_Trueprop
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   979
      |> Raw_Simplifier.rewrite_term thy (Meson.unfold_set_const_simps ctxt) []
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   980
      |> extensionalize_term ctxt
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   981
      |> presimplify_term ctxt presimp_consts
43120
a9c2cdf4ae97 make sure "Trueprop" is removed before combinators are added -- the code is fragile in that respect
blanchet
parents: 43105
diff changeset
   982
      |> perhaps (try (HOLogic.dest_Trueprop))
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
   983
      |> process_abstractions_in_term ctxt trans_lambdas kind
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   984
  end
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   985
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   986
(* making fact and conjecture formulas *)
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   987
fun make_formula thy type_enc eq_as_iff name loc kind t =
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   988
  let
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   989
    val (iformula, atomic_types) =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   990
      iformula_from_prop thy type_enc eq_as_iff t []
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   991
  in
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   992
    {name = name, locality = loc, kind = kind, iformula = iformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   993
     atomic_types = atomic_types}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   994
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   995
43860
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
   996
fun make_fact ctxt format type_enc eq_as_iff ((name, loc), t) =
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   997
  let val thy = Proof_Context.theory_of ctxt in
43860
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
   998
    case t |> make_formula thy type_enc (eq_as_iff andalso format <> CNF) name
43624
de026aecab9b cleaner handling of higher-order simple types, so that it's also possible to use first-order simple types with LEO-II and company
blanchet
parents: 43623
diff changeset
   999
                           loc Axiom of
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1000
      formula as {iformula = AAtom (IConst ((s, _), _, _)), ...} =>
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1001
      if s = tptp_true then NONE else SOME formula
43295
30aaab778416 pass Metis facts and negated conjecture as facts, with (almost) correctly set localities, so that the correct encoding is used for nonmonotonic occurrences of infinite types
blanchet
parents: 43293
diff changeset
  1002
    | formula => SOME formula
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1003
  end
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1004
43860
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
  1005
fun make_conjecture ctxt format type_enc ps =
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1006
  let
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1007
    val thy = Proof_Context.theory_of ctxt
43860
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
  1008
    val last = length ps - 1
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1009
  in
43860
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
  1010
    map2 (fn j => fn (kind, t) =>
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
  1011
             t |> make_formula thy type_enc (format <> CNF) (string_of_int j)
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
  1012
                               Local kind
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
  1013
               |> (j <> last) = (kind = Conjecture) ? update_iformula mk_anot)
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
  1014
         (0 upto last) ps
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
  1015
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1016
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1017
(** Finite and infinite type inference **)
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1018
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1019
fun deep_freeze_atyp (TVar (_, S)) = TFree ("v", S)
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1020
  | deep_freeze_atyp T = T
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1021
val deep_freeze_type = map_atyps deep_freeze_atyp
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1022
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1023
(* Finite types such as "unit", "bool", "bool * bool", and "bool => bool" are
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1024
   dangerous because their "exhaust" properties can easily lead to unsound ATP
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1025
   proofs. On the other hand, all HOL infinite types can be given the same
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1026
   models in first-order logic (via Löwenheim-Skolem). *)
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1027
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1028
fun should_encode_type ctxt (nonmono_Ts as _ :: _) _ T =
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1029
    exists (curry (type_instance ctxt) (deep_freeze_type T)) nonmono_Ts
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1030
  | should_encode_type _ _ All_Types _ = true
43572
ae612a423dad added "sound" option to force Sledgehammer to be pedantically sound
blanchet
parents: 43501
diff changeset
  1031
  | should_encode_type ctxt _ Fin_Nonmono_Types T =
ae612a423dad added "sound" option to force Sledgehammer to be pedantically sound
blanchet
parents: 43501
diff changeset
  1032
    is_type_surely_finite ctxt false T
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1033
  | should_encode_type _ _ _ _ = false
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1034
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
  1035
fun should_predicate_on_type ctxt nonmono_Ts (Preds (_, level, heaviness))
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
  1036
                             should_predicate_on_var T =
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1037
    (heaviness = Heavyweight orelse should_predicate_on_var ()) andalso
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
  1038
    should_encode_type ctxt nonmono_Ts level T
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
  1039
  | should_predicate_on_type _ _ _ _ _ = false
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1040
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1041
fun is_var_or_bound_var (IConst ((s, _), _, _)) =
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1042
    String.isPrefix bound_var_prefix s
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1043
  | is_var_or_bound_var (IVar _) = true
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1044
  | is_var_or_bound_var _ = false
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1045
43361
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1046
datatype tag_site =
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1047
  Top_Level of bool option |
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1048
  Eq_Arg of bool option |
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1049
  Elsewhere
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1050
43361
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1051
fun should_tag_with_type _ _ _ (Top_Level _) _ _ = false
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1052
  | should_tag_with_type ctxt nonmono_Ts (Tags (poly, level, heaviness)) site
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1053
                         u T =
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
  1054
    (case heaviness of
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1055
       Heavyweight => should_encode_type ctxt nonmono_Ts level T
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1056
     | Lightweight =>
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1057
       case (site, is_var_or_bound_var u) of
43361
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1058
         (Eq_Arg pos, true) =>
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1059
         (* The first disjunct prevents a subtle soundness issue explained in
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1060
            Blanchette's Ph.D. thesis. See also
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1061
            "formula_lines_for_lightweight_tags_sym_decl". *)
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1062
         (pos <> SOME false andalso poly = Polymorphic andalso
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1063
          level <> All_Types andalso heaviness = Lightweight andalso
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1064
          exists (fn T' => type_instance ctxt (T', T)) nonmono_Ts) orelse
e37b54d429f5 revived the lightweight "poly_tags_{query,bang}" type encodings by fixing their soundness bug
blanchet
parents: 43324
diff changeset
  1065
         should_encode_type ctxt nonmono_Ts level T
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1066
       | _ => false)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1067
  | should_tag_with_type _ _ _ _ _ _ = false
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1068
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1069
fun homogenized_type ctxt nonmono_Ts level =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1070
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1071
    val should_encode = should_encode_type ctxt nonmono_Ts level
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1072
    fun homo 0 T = if should_encode T then T else homo_infinite_type
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1073
      | homo ary (Type (@{type_name fun}, [T1, T2])) =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1074
        homo 0 T1 --> homo (ary - 1) T2
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1075
      | homo _ _ = raise Fail "expected function type"
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1076
  in homo end
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1077
42573
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
  1078
(** "hBOOL" and "hAPP" **)
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
  1079
42574
blanchet
parents: 42573
diff changeset
  1080
type sym_info =
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1081
  {pred_sym : bool, min_ary : int, max_ary : int, types : typ list}
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
  1082
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1083
fun add_iterm_syms_to_table ctxt explicit_apply =
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
  1084
  let
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1085
    fun consider_var_arity const_T var_T max_ary =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1086
      let
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1087
        fun iter ary T =
43210
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1088
          if ary = max_ary orelse type_instance ctxt (var_T, T) orelse
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1089
             type_instance ctxt (T, var_T) then
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1090
            ary
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1091
          else
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1092
            iter (ary + 1) (range_type T)
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1093
      in iter 0 const_T end
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1094
    fun add_var_or_bound_var T (accum as ((bool_vars, fun_var_Ts), sym_tab)) =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1095
      if explicit_apply = NONE andalso
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1096
         (can dest_funT T orelse T = @{typ bool}) then
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1097
        let
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1098
          val bool_vars' = bool_vars orelse body_type T = @{typ bool}
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1099
          fun repair_min_arity {pred_sym, min_ary, max_ary, types} =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1100
            {pred_sym = pred_sym andalso not bool_vars',
43213
e1fdd27e0c98 generate less type information in polymorphic case
blanchet
parents: 43210
diff changeset
  1101
             min_ary = fold (fn T' => consider_var_arity T' T) types min_ary,
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1102
             max_ary = max_ary, types = types}
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1103
          val fun_var_Ts' =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1104
            fun_var_Ts |> can dest_funT T ? insert_type ctxt I T
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1105
        in
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1106
          if bool_vars' = bool_vars andalso
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1107
             pointer_eq (fun_var_Ts', fun_var_Ts) then
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1108
            accum
43167
839f599bc7ed ensured that the logic for "explicit_apply = smart" also works on CNF (i.e. new Metis)
blanchet
parents: 43159
diff changeset
  1109
          else
43213
e1fdd27e0c98 generate less type information in polymorphic case
blanchet
parents: 43210
diff changeset
  1110
            ((bool_vars', fun_var_Ts'), Symtab.map (K repair_min_arity) sym_tab)
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1111
        end
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1112
      else
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1113
        accum
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1114
    fun add top_level tm (accum as ((bool_vars, fun_var_Ts), sym_tab)) =
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1115
      let val (head, args) = strip_iterm_comb tm in
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
  1116
        (case head of
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1117
           IConst ((s, _), T, _) =>
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
  1118
           if String.isPrefix bound_var_prefix s then
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1119
             add_var_or_bound_var T accum
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
  1120
           else
43139
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1121
             let val ary = length args in
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1122
               ((bool_vars, fun_var_Ts),
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1123
                case Symtab.lookup sym_tab s of
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1124
                  SOME {pred_sym, min_ary, max_ary, types} =>
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1125
                  let
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1126
                    val pred_sym =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1127
                      pred_sym andalso top_level andalso not bool_vars
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1128
                    val types' = types |> insert_type ctxt I T
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1129
                    val min_ary =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1130
                      if is_some explicit_apply orelse
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1131
                         pointer_eq (types', types) then
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1132
                        min_ary
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1133
                      else
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1134
                        fold (consider_var_arity T) fun_var_Ts min_ary
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1135
                  in
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1136
                    Symtab.update (s, {pred_sym = pred_sym,
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1137
                                       min_ary = Int.min (ary, min_ary),
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1138
                                       max_ary = Int.max (ary, max_ary),
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1139
                                       types = types'})
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1140
                                  sym_tab
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1141
                  end
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1142
                | NONE =>
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1143
                  let
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1144
                    val pred_sym = top_level andalso not bool_vars
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1145
                    val min_ary =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1146
                      case explicit_apply of
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1147
                        SOME true => 0
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1148
                      | SOME false => ary
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1149
                      | NONE => fold (consider_var_arity T) fun_var_Ts ary
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1150
                  in
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198