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 Metis and 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 tptp_format = ATP_Problem.tptp_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 | Induction | Extensionality | Intro | Elim | Simp |
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    Local | Assum | Chained
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  datatype order = First_Order | Higher_Order
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  datatype polymorphism = Polymorphic | Raw_Monomorphic | Mangled_Monomorphic
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  datatype soundness = Sound_Modulo_Infiniteness | Sound
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  datatype uniformity = Uniform | Nonuniform
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  datatype type_level =
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    All_Types |
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    Noninf_Nonmono_Types of soundness * uniformity |
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    Fin_Nonmono_Types of uniformity |
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    Const_Arg_Types |
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    No_Types
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  datatype type_enc =
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    Simple_Types of order * polymorphism * type_level |
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    Guards of polymorphism * type_level |
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    Tags of polymorphism * type_level
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  val type_tag_idempotence : bool Config.T
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  val type_tag_arguments : bool Config.T
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  val no_lambdasN : string
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  val concealedN : string
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  val liftingN : string
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  val combinatorsN : string
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  val hybridN : string
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  val lambdasN : string
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  val smartN : 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 polymorphic_free_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 guards_sym_formula_prefix : string
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  val 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_guard_name : string
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  val type_tag_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 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_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_quasi_sound : type_enc -> bool
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  val is_type_enc_fairly_sound : type_enc -> bool
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  val type_enc_from_string : soundness -> string -> type_enc
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  val adjust_type_enc : tptp_format -> type_enc -> 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 prepare_atp_problem :
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    Proof.context -> tptp_format -> formula_kind -> formula_kind -> type_enc
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    -> bool -> string -> 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 type_tag_idempotence =
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  Attrib.setup_config_bool @{binding atp_type_tag_idempotence} (K false)
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val type_tag_arguments =
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  Attrib.setup_config_bool @{binding atp_type_tag_arguments} (K false)
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val no_lambdasN = "no_lambdas"
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val concealedN = "concealed"
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val liftingN = "lifting"
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val combinatorsN = "combinators"
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val hybridN = "hybrid"
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val lambdasN = "lambdas"
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val smartN = "smart"
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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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(* TFF1 is still in development, and it is still unclear whether symbols will be
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   allowed to have types like "$tType > $o" (i.e., "![A : $tType] : $o"), with
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   "dummy" type variables. *)
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val avoid_first_order_dummy_type_vars = true
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val bound_var_prefix = "B_"
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val all_bound_var_prefix = "BA_"
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val exist_bound_var_prefix = "BE_"
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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 simple_type_prefix = "s_"
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val class_prefix = "cl_"
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val polymorphic_free_prefix = "poly_free"
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val skolem_const_prefix = "ATP" ^ 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 guards_sym_formula_prefix = "gsy_"
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val 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 lambda_fact_prefix = "ATP.lambda_"
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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 = "pp"
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val app_op_name = "aa"
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val type_guard_name = "gg"
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val type_tag_name = "tt"
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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 atp_weak_prefix = "ATP:"
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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_all_bound_var x = all_bound_var_prefix ^ ascii_of x
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fun make_exist_bound_var x = exist_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" and Choice are mapped to the ATP's equivalents *)
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local
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  val choice_const = (fst o dest_Const o HOLogic.choice_const) Term.dummyT
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  fun default c = const_prefix ^ lookup_const c
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in
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  fun make_fixed_const _ @{const_name HOL.eq} = tptp_old_equal
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    | make_fixed_const (SOME (THF (_, _, THF_With_Choice))) c =
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      if c = choice_const then tptp_choice else default c
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    | make_fixed_const _ c = default c
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end
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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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(* 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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(** Isabelle arities **)
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type arity_atom = name * name * name list
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val type_class = the_single @{sort type}
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type arity_clause =
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  {name : string,
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   prem_atoms : arity_atom list,
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   concl_atom : arity_atom}
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fun add_prem_atom tvar =
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  fold (fn s => s <> type_class ? cons (`make_type_class s, `I tvar, []))
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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 = map (prefix tvar_prefix o string_of_int) (1 upto 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_atoms = [] |> fold (uncurry add_prem_atom) tvars_srts,
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     concl_atom = (`make_type_class cls, `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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   422
    fun try_classes tycon = (tycon, fold (add_class tycon) classes [])
blanchet
parents: 43092
diff changeset
   423
  in map try_classes tycons end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   424
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   425
(*Proving one (tycon, class) membership may require proving others, so iterate.*)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   426
fun iter_type_class_pairs _ _ [] = ([], [])
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   427
  | iter_type_class_pairs thy tycons classes =
43263
blanchet
parents: 43259
diff changeset
   428
      let
blanchet
parents: 43259
diff changeset
   429
        fun maybe_insert_class s =
blanchet
parents: 43259
diff changeset
   430
          (s <> type_class andalso not (member (op =) classes s))
blanchet
parents: 43259
diff changeset
   431
          ? insert (op =) s
blanchet
parents: 43259
diff changeset
   432
        val cpairs = type_class_pairs thy tycons classes
blanchet
parents: 43259
diff changeset
   433
        val newclasses =
blanchet
parents: 43259
diff changeset
   434
          [] |> fold (fold (fold (fold maybe_insert_class) o snd) o snd) cpairs
blanchet
parents: 43259
diff changeset
   435
        val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses
43266
3baf384e2b99 minor optimization
blanchet
parents: 43265
diff changeset
   436
      in (classes' @ classes, union (op =) cpairs' cpairs) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   437
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   438
fun make_arity_clauses thy tycons =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   439
  iter_type_class_pairs thy tycons ##> multi_arity_clause
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   440
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   441
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   442
(** Isabelle class relations **)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   443
43086
blanchet
parents: 43085
diff changeset
   444
type class_rel_clause =
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   445
  {name : string,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   446
   subclass : name,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   447
   superclass : name}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   448
43622
blanchet
parents: 43572
diff changeset
   449
(* Generate all pairs (sub, super) such that sub is a proper subclass of super
blanchet
parents: 43572
diff changeset
   450
   in theory "thy". *)
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   451
fun class_pairs _ [] _ = []
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   452
  | class_pairs thy subs supers =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   453
      let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   454
        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
   455
        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
   456
        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
   457
      in fold add_supers subs [] end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   458
43622
blanchet
parents: 43572
diff changeset
   459
fun make_class_rel_clause (sub, super) =
blanchet
parents: 43572
diff changeset
   460
  {name = sub ^ "_" ^ super, subclass = `make_type_class sub,
43086
blanchet
parents: 43085
diff changeset
   461
   superclass = `make_type_class super}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   462
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   463
fun make_class_rel_clauses thy subs supers =
43093
blanchet
parents: 43092
diff changeset
   464
  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
   465
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   466
(* intermediate terms *)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   467
datatype iterm =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   468
  IConst of name * typ * typ list |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   469
  IVar of name * typ |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   470
  IApp of iterm * iterm |
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   471
  IAbs of (name * typ) * iterm
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   472
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   473
fun ityp_of (IConst (_, T, _)) = T
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   474
  | ityp_of (IVar (_, T)) = T
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   475
  | ityp_of (IApp (t1, _)) = snd (dest_funT (ityp_of t1))
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   476
  | 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
   477
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   478
(*gets the head of a combinator application, along with the list of arguments*)
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   479
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
   480
  let
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   481
    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
   482
      | stripc x = x
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   483
  in stripc (u, []) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   484
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   485
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
   486
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   487
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
   488
  [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
   489
  |> space_implode Long_Name.separator
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   490
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   491
fun robust_const_type thy s =
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   492
  if s = app_op_name then Logic.varifyT_global @{typ "('a => 'b) => 'a => 'b"}
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   493
  else s |> Sign.the_const_type thy
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   494
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   495
(* This function only makes sense if "T" is as general as possible. *)
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   496
fun robust_const_typargs thy (s, T) =
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   497
  (s, T) |> Sign.const_typargs thy
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   498
  handle TYPE _ => [] |> Term.add_tvarsT T |> rev |> map TVar
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   499
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   500
(* Converts an Isabelle/HOL term (with combinators) into an intermediate term.
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   501
   Also accumulates sort infomation. *)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   502
fun iterm_from_term thy format bs (P $ Q) =
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   503
    let
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   504
      val (P', P_atomics_Ts) = iterm_from_term thy format bs P
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   505
      val (Q', Q_atomics_Ts) = iterm_from_term thy format bs Q
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   506
    in (IApp (P', Q'), union (op =) P_atomics_Ts Q_atomics_Ts) end
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   507
  | iterm_from_term thy format _ (Const (c, T)) =
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   508
    (IConst (`(make_fixed_const (SOME format)) c, T,
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   509
             robust_const_typargs thy (c, T)),
43907
073ab5379842 pass type arguments to lambda-lifted Frees, to account for polymorphism
blanchet
parents: 43906
diff changeset
   510
     atyps_of T)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   511
  | iterm_from_term _ _ _ (Free (s, T)) =
43907
073ab5379842 pass type arguments to lambda-lifted Frees, to account for polymorphism
blanchet
parents: 43906
diff changeset
   512
    (IConst (`make_fixed_var s, T,
43936
127749bbc639 use a more robust naming convention for "polymorphic" frees -- the check is an overapproximation but that's fine as far as soundness is concerned
blanchet
parents: 43907
diff changeset
   513
             if String.isPrefix polymorphic_free_prefix s then [T] else []),
43907
073ab5379842 pass type arguments to lambda-lifted Frees, to account for polymorphism
blanchet
parents: 43906
diff changeset
   514
     atyps_of T)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   515
  | iterm_from_term _ format _ (Var (v as (s, _), T)) =
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   516
    (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
   517
       let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   518
         val Ts = T |> strip_type |> swap |> op ::
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   519
         val s' = new_skolem_const_name s (length Ts)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   520
       in IConst (`(make_fixed_const (SOME format)) s', T, Ts) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   521
     else
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   522
       IVar ((make_schematic_var v, s), T), atyps_of T)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   523
  | iterm_from_term _ _ bs (Bound j) =
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   524
    nth bs j |> (fn (_, (name, T)) => (IConst (name, T, []), atyps_of T))
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   525
  | iterm_from_term thy format bs (Abs (s, T, t)) =
43678
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   526
    let
56d352659500 improved translation of lambdas in THF
nik
parents: 43677
diff changeset
   527
      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
   528
      val s = vary s
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   529
      val name = `make_bound_var s
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   530
      val (tm, atomic_Ts) = iterm_from_term thy format ((s, (name, T)) :: bs) t
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   531
    in (IAbs ((name, T), tm), union (op =) atomic_Ts (atyps_of T)) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   532
43421
926bfe067a32 fixed soundness bug related to extensionality
blanchet
parents: 43401
diff changeset
   533
datatype locality =
44585
cfe7f4a68e51 added generation of induction rules
nik
parents: 44540
diff changeset
   534
  General | Helper | Induction | Extensionality | Intro | Elim | Simp |
cfe7f4a68e51 added generation of induction rules
nik
parents: 44540
diff changeset
   535
  Local | Assum | Chained
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   536
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
   537
datatype order = First_Order | Higher_Order
44494
a77901b3774e rationalized option names -- mono becomes raw_mono and mangled becomes mono
blanchet
parents: 44493
diff changeset
   538
datatype polymorphism = Polymorphic | Raw_Monomorphic | Mangled_Monomorphic
44634
2ac4ff398bc3 make "sound" sound and "unsound" more sound, based on evaluation
blanchet
parents: 44626
diff changeset
   539
datatype soundness = Sound_Modulo_Infiniteness | Sound
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   540
datatype uniformity = Uniform | Nonuniform
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
datatype type_level =
44397
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
   542
  All_Types |
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   543
  Noninf_Nonmono_Types of soundness * uniformity |
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   544
  Fin_Nonmono_Types of uniformity |
44397
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
   545
  Const_Arg_Types |
43362
8d3a5b7b9a00 name tuning
blanchet
parents: 43361
diff changeset
   546
  No_Types
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
   547
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   548
datatype type_enc =
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   549
  Simple_Types of order * polymorphism * type_level |
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   550
  Guards of polymorphism * type_level |
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   551
  Tags of polymorphism * type_level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   552
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   553
fun is_type_enc_higher_order (Simple_Types (Higher_Order, _, _)) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   554
  | is_type_enc_higher_order _ = false
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   555
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   556
fun polymorphism_of_type_enc (Simple_Types (_, poly, _)) = poly
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   557
  | polymorphism_of_type_enc (Guards (poly, _)) = poly
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   558
  | polymorphism_of_type_enc (Tags (poly, _)) = poly
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   559
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   560
fun level_of_type_enc (Simple_Types (_, _, level)) = level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   561
  | level_of_type_enc (Guards (_, level)) = level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   562
  | level_of_type_enc (Tags (_, level)) = level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   563
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   564
fun is_level_uniform (Noninf_Nonmono_Types (_, Nonuniform)) = false
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   565
  | is_level_uniform (Fin_Nonmono_Types Nonuniform) = false
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   566
  | is_level_uniform _ = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   567
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   568
fun is_type_level_quasi_sound All_Types = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   569
  | is_type_level_quasi_sound (Noninf_Nonmono_Types _) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   570
  | is_type_level_quasi_sound _ = false
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   571
val is_type_enc_quasi_sound = is_type_level_quasi_sound o level_of_type_enc
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   572
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   573
fun is_type_level_fairly_sound (Fin_Nonmono_Types _) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   574
  | is_type_level_fairly_sound level = is_type_level_quasi_sound level
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   575
val is_type_enc_fairly_sound = is_type_level_fairly_sound o level_of_type_enc
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   576
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   577
fun is_type_level_monotonicity_based (Noninf_Nonmono_Types _) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   578
  | is_type_level_monotonicity_based (Fin_Nonmono_Types _) = true
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   579
  | is_type_level_monotonicity_based _ = false
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
   580
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   581
fun try_unsuffixes ss s =
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   582
  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
   583
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   584
val queries = ["?", "_query"]
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   585
val bangs = ["!", "_bang"]
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   586
44397
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
   587
fun type_enc_from_string soundness s =
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   588
  (case try (unprefix "poly_") s of
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   589
     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
   590
   | NONE =>
44494
a77901b3774e rationalized option names -- mono becomes raw_mono and mangled becomes mono
blanchet
parents: 44493
diff changeset
   591
     case try (unprefix "raw_mono_") s of
a77901b3774e rationalized option names -- mono becomes raw_mono and mangled becomes mono
blanchet
parents: 44493
diff changeset
   592
       SOME s => (SOME Raw_Monomorphic, s)
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   593
     | NONE =>
44494
a77901b3774e rationalized option names -- mono becomes raw_mono and mangled becomes mono
blanchet
parents: 44493
diff changeset
   594
       case try (unprefix "mono_") s of
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   595
         SOME s => (SOME Mangled_Monomorphic, s)
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   596
       | 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
   597
  ||> (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
   598
          (* "_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
   599
             Mirabelle. *)
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   600
          case try_unsuffixes queries s of
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   601
            SOME s =>
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   602
            (case try_unsuffixes queries s of
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   603
               SOME s => (Noninf_Nonmono_Types (soundness, Nonuniform), s)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   604
             | NONE => (Noninf_Nonmono_Types (soundness, Uniform), 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
   605
          | NONE =>
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   606
            case try_unsuffixes bangs s of
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   607
              SOME s =>
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   608
              (case try_unsuffixes bangs s of
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   609
                 SOME s => (Fin_Nonmono_Types Nonuniform, s)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   610
               | NONE => (Fin_Nonmono_Types Uniform, 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
   611
            | NONE => (All_Types, s))
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   612
  |> (fn (poly, (level, core)) =>
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   613
         case (core, (poly, level)) of
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   614
           ("simple", (SOME poly, _)) =>
44742
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   615
           (case (poly, level) of
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   616
              (Polymorphic, All_Types) =>
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   617
              Simple_Types (First_Order, Polymorphic, All_Types)
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   618
            | (Mangled_Monomorphic, _) =>
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   619
              if is_level_uniform level then
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   620
                Simple_Types (First_Order, Mangled_Monomorphic, level)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   621
              else
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   622
                raise Same.SAME
44742
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   623
            | _ => raise Same.SAME)
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   624
         | ("simple_higher", (SOME poly, _)) =>
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   625
           (case (poly, level) of
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   626
              (Polymorphic, All_Types) =>
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   627
              Simple_Types (Higher_Order, Polymorphic, All_Types)
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   628
            | (_, Noninf_Nonmono_Types _) => raise Same.SAME
44742
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   629
            | (Mangled_Monomorphic, _) =>
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   630
              if is_level_uniform level then
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   631
                Simple_Types (Higher_Order, Mangled_Monomorphic, level)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   632
              else
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   633
                raise Same.SAME
44742
68e34e7f01ab cleanup "simple" type encodings
blanchet
parents: 44738
diff changeset
   634
            | _ => raise Same.SAME)
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   635
         | ("guards", (SOME poly, _)) => Guards (poly, level)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   636
         | ("tags", (SOME Polymorphic, _)) => Tags (Polymorphic, level)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   637
         | ("tags", (SOME poly, _)) => Tags (poly, level)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   638
         | ("args", (SOME poly, All_Types (* naja *))) =>
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   639
           Guards (poly, Const_Arg_Types)
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   640
         | ("erased", (NONE, All_Types (* naja *))) =>
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   641
           Guards (Polymorphic, No_Types)
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
         | _ => 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
   643
  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
   644
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   645
fun adjust_type_enc (THF (TPTP_Monomorphic, _, _))
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   646
                    (Simple_Types (order, _, level)) =
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   647
    Simple_Types (order, Mangled_Monomorphic, level)
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   648
  | adjust_type_enc (THF _) type_enc = type_enc
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   649
  | adjust_type_enc (TFF (TPTP_Monomorphic, _)) (Simple_Types (_, _, level)) =
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   650
    Simple_Types (First_Order, Mangled_Monomorphic, level)
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   651
  | adjust_type_enc (TFF _) (Simple_Types (_, poly, level)) =
44591
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   652
    Simple_Types (First_Order, poly, level)
0b107d11f634 extended simple types with polymorphism -- the implementation still needs some work though
blanchet
parents: 44589
diff changeset
   653
  | adjust_type_enc format (Simple_Types (_, poly, level)) =
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   654
    adjust_type_enc format (Guards (poly, level))
44416
cabd06b69c18 added formats to the slice and use TFF for remote Vampire
blanchet
parents: 44410
diff changeset
   655
  | adjust_type_enc CNF_UEQ (type_enc as Guards stuff) =
cabd06b69c18 added formats to the slice and use TFF for remote Vampire
blanchet
parents: 44410
diff changeset
   656
    (if is_type_enc_fairly_sound type_enc then Tags else Guards) stuff
cabd06b69c18 added formats to the slice and use TFF for remote Vampire
blanchet
parents: 44410
diff changeset
   657
  | adjust_type_enc _ type_enc = type_enc
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   658
44088
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   659
fun lift_lambdas ctxt type_enc =
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   660
  map (close_form o Envir.eta_contract) #> rpair ctxt
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   661
  #-> Lambda_Lifting.lift_lambdas
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   662
          (if polymorphism_of_type_enc type_enc = Polymorphic then
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   663
             SOME polymorphic_free_prefix
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   664
           else
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   665
             NONE)
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   666
          Lambda_Lifting.is_quantifier
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   667
  #> fst
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   668
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   669
fun intentionalize_def (Const (@{const_name All}, _) $ Abs (_, _, t)) =
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   670
    intentionalize_def t
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   671
  | intentionalize_def (Const (@{const_name HOL.eq}, _) $ t $ u) =
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   672
    let
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   673
      fun lam T t = Abs (Name.uu, T, t)
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   674
      val (head, args) = strip_comb t ||> rev
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   675
      val head_T = fastype_of head
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   676
      val n = length args
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   677
      val arg_Ts = head_T |> binder_types |> take n |> rev
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   678
      val u = u |> subst_atomic (args ~~ map Bound (0 upto n - 1))
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   679
    in HOLogic.eq_const head_T $ head $ fold lam arg_Ts u end
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   680
  | intentionalize_def t = t
3693baa6befb move lambda-lifting code to ATP encoding, so it can be used by Metis
blanchet
parents: 44003
diff changeset
   681
40114
blanchet
parents: 40069
diff changeset
   682
type translated_formula =
43496
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   683
  {name : string,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   684
   locality : locality,
92f5a4c78b37 remove historical bloat -- another benefit of merging Metis's and Sledgehammer's translations
blanchet
parents: 43495
diff changeset
   685
   kind : formula_kind,
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   686
   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
   687
   atomic_types : typ list}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   688
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   689
fun update_iformula f ({name, locality, kind, iformula, atomic_types}
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   690
                       : translated_formula) =
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   691
  {name = name, locality = locality, kind = kind, iformula = f iformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   692
   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
   693
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   694
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
   695
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
   696
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
   697
  let val T = get_T x in
44399
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
   698
    if exists (type_instance ctxt T o get_T) xs then xs
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
   699
    else x :: filter_out (type_generalization ctxt T o get_T) xs
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
   700
  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
   701
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
   702
(* 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
   703
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
   704
  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
   705
  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
   706
  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
   707
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   708
fun should_drop_arg_type_args (Simple_Types _) = false
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   709
  | should_drop_arg_type_args type_enc =
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   710
    level_of_type_enc type_enc = All_Types
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   711
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   712
fun type_arg_policy type_enc s =
43628
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   713
  if s = type_tag_name then
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   714
    (if polymorphism_of_type_enc type_enc = Mangled_Monomorphic then
43623
e096b1effbbb mangle "ti" tags
blanchet
parents: 43622
diff changeset
   715
       Mangled_Type_Args
e096b1effbbb mangle "ti" tags
blanchet
parents: 43622
diff changeset
   716
     else
e096b1effbbb mangle "ti" tags
blanchet
parents: 43622
diff changeset
   717
       Explicit_Type_Args) false
43628
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   718
  else case type_enc of
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
   719
    Tags (_, All_Types) => No_Type_Args
43628
996b2022ff78 further repair "mangled_tags", now that tags are also mangled
blanchet
parents: 43626
diff changeset
   720
  | _ =>
44398
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   721
    let val level = level_of_type_enc type_enc in
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   722
      if level = No_Types orelse s = @{const_name HOL.eq} orelse
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   723
         (s = app_op_name andalso level = Const_Arg_Types) then
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   724
        No_Type_Args
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   725
      else
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   726
        should_drop_arg_type_args type_enc
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   727
        |> (if polymorphism_of_type_enc type_enc = Mangled_Monomorphic then
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   728
              Mangled_Type_Args
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   729
            else
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   730
              Explicit_Type_Args)
d21f7e330ec8 remove needless typing information
blanchet
parents: 44397
diff changeset
   731
    end
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   732
44625
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   733
(* Make atoms for sorted type variables. *)
43263
blanchet
parents: 43259
diff changeset
   734
fun generic_add_sorts_on_type (_, []) = I
blanchet
parents: 43259
diff changeset
   735
  | generic_add_sorts_on_type ((x, i), s :: ss) =
blanchet
parents: 43259
diff changeset
   736
    generic_add_sorts_on_type ((x, i), ss)
blanchet
parents: 43259
diff changeset
   737
    #> (if s = the_single @{sort HOL.type} then
43093
blanchet
parents: 43092
diff changeset
   738
          I
blanchet
parents: 43092
diff changeset
   739
        else if i = ~1 then
44623
blanchet
parents: 44622
diff changeset
   740
          insert (op =) (`make_type_class s, `make_fixed_type_var x)
43093
blanchet
parents: 43092
diff changeset
   741
        else
44623
blanchet
parents: 44622
diff changeset
   742
          insert (op =) (`make_type_class s,
blanchet
parents: 44622
diff changeset
   743
                         (make_schematic_type_var (x, i), x)))
43263
blanchet
parents: 43259
diff changeset
   744
fun add_sorts_on_tfree (TFree (s, S)) = generic_add_sorts_on_type ((s, ~1), S)
blanchet
parents: 43259
diff changeset
   745
  | add_sorts_on_tfree _ = I
blanchet
parents: 43259
diff changeset
   746
fun add_sorts_on_tvar (TVar z) = generic_add_sorts_on_type z
blanchet
parents: 43259
diff changeset
   747
  | add_sorts_on_tvar _ = I
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   748
44625
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   749
val tvar_a_str = "'a"
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   750
val tvar_a = TVar ((tvar_a_str, 0), HOLogic.typeS)
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   751
val tvar_a_name = (make_schematic_type_var (tvar_a_str, 0), tvar_a_str)
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   752
val itself_name = `make_fixed_type_const @{type_name itself}
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   753
val TYPE_name = `(make_fixed_const NONE) @{const_name TYPE}
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   754
val tvar_a_atype = AType (tvar_a_name, [])
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   755
val a_itself_atype = AType (itself_name, [tvar_a_atype])
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   756
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   757
fun type_class_formula type_enc class arg =
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   758
  AAtom (ATerm (class, arg ::
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   759
      (case type_enc of
44754
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   760
         Simple_Types (First_Order, Polymorphic, _) =>
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   761
         if avoid_first_order_dummy_type_vars then [ATerm (TYPE_name, [arg])]
265174356212 added dummy polymorphic THF system
blanchet
parents: 44742
diff changeset
   762
         else []
44625
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   763
       | _ => [])))
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   764
fun formulas_for_types type_enc add_sorts_on_typ Ts =
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   765
  [] |> level_of_type_enc type_enc <> No_Types ? fold add_sorts_on_typ Ts
44625
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   766
     |> map (fn (class, name) =>
4a1132815a70 more tuning
blanchet
parents: 44624
diff changeset
   767
                type_class_formula type_enc class (ATerm (name, [])))
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
   768
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
   769
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
   770
  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
   771
    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
   772
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   773
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
   774
  | 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
   775
fun mk_aquant _ [] phi = phi
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   776
  | 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
   777
    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
   778
  | 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
   779
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   780
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
   781
  let
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   782
    fun formula_vars bounds (AQuant (_, xs, phi)) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   783
        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
   784
      | 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
   785
      | formula_vars bounds (AAtom tm) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   786
        union (op =) (atom_vars tm []
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   787
                      |> 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
   788
  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
   789
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   790
fun iterm_vars (IApp (tm1, tm2)) = fold iterm_vars [tm1, tm2]
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   791
  | iterm_vars (IConst _) = I
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   792
  | iterm_vars (IVar (name, T)) = insert (op =) (name, SOME T)
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   793
  | iterm_vars (IAbs (_, tm)) = iterm_vars tm
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
   794
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
   795
44593
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   796
fun term_vars type_enc =
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   797
  let
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   798
    fun vars bounds (ATerm (name as (s, _), tms)) =
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   799
        (if is_tptp_variable s andalso not (member (op =) bounds name) then
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   800
           (case type_enc of
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   801
              Simple_Types (_, Polymorphic, _) =>
44595
444d111bde7d generate properly typed TFF1 (PFF) problems in the presence of type class predicates
blanchet
parents: 44594
diff changeset
   802
              if String.isPrefix tvar_prefix s then SOME atype_of_types
444d111bde7d generate properly typed TFF1 (PFF) problems in the presence of type class predicates
blanchet
parents: 44594
diff changeset
   803
              else NONE
44593
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   804
            | _ => NONE)
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   805
           |> pair name |> insert (op =)
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   806
         else
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   807
           I)
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   808
        #> fold (vars bounds) tms
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   809
      | vars bounds (AAbs ((name, _), tm)) = vars (name :: bounds) tm
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   810
  in vars end
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   811
fun close_formula_universally type_enc =
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   812
  close_universally (term_vars type_enc [])
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   813
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   814
val fused_infinite_type_name = @{type_name ind} (* any infinite type *)
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   815
val fused_infinite_type = Type (fused_infinite_type_name, [])
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   816
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   817
fun tvar_name (x as (s, _)) = (make_schematic_type_var x, s)
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   818
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
   819
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
   820
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   821
    fun term (Type (s, Ts)) =
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   822
      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
   823
               (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
   824
             | (true, @{type_name fun}) => `I tptp_fun_type
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   825
             | _ => if s = fused_infinite_type_name andalso
44235
85e9dad3c187 distinguish THF syntax with and without choice (Satallax vs. LEO-II)
blanchet
parents: 44121
diff changeset
   826
                       is_format_typed format then
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
   827
                      `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
   828
                    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
   829
                      `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
   830
             map term Ts)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   831
    | term (TFree (s, _)) = ATerm (`make_fixed_type_var s, [])
44594
ae82943481e9 added type abstractions (for declaring polymorphic constants) to TFF syntax
blanchet
parents: 44593
diff changeset
   832
    | term (TVar (x, _)) = ATerm (tvar_name x, [])
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   833
  in term end
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   834
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
   835
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
   836
  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
   837
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   838
(* 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
   839
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
   840
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   841
fun generic_mangled_type_name f (ATerm (name, [])) = f name
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   842
  | 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
   843
    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
   844
    ^ ")"
43692
264881a20f50 make SML/NJ happy + tuning
blanchet
parents: 43678
diff changeset
   845
  | 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
   846
44396
66b9b3fcd608 started cleaning up polymorphic monotonicity-based encodings, based on discussions with Nick Smallbone
blanchet
parents: 44394
diff changeset
   847
fun mangled_type format type_enc =
66b9b3fcd608 started cleaning up polymorphic monotonicity-based encodings, based on discussions with Nick Smallbone
blanchet
parents: 44394
diff changeset
   848
  generic_mangled_type_name fst o ho_term_from_typ format type_enc
66b9b3fcd608 started cleaning up polymorphic monotonicity-based encodings, based on discussions with Nick Smallbone
blanchet
parents: 44394
diff changeset
   849
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   850
fun make_simple_type s =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   851
  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
   852
     s = tptp_individual_type then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   853
    s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   854
  else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   855
    simple_type_prefix ^ ascii_of s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   856
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
   857
fun ho_type_from_ho_term type_enc pred_sym ary =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   858
  let
44593
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   859
    fun to_mangled_atype ty =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   860
      AType ((make_simple_type (generic_mangled_type_name fst ty),
44593
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   861
              generic_mangled_type_name snd ty), [])
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   862
    fun to_poly_atype (ATerm (name, tys)) = AType (name, map to_poly_atype tys)
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   863
      | to_poly_atype _ = raise Fail "unexpected type abstraction"
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   864
    val to_atype =
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   865
      if polymorphism_of_type_enc type_enc = Polymorphic then to_poly_atype
ccf40af26ae9 implement more of the polymorphic simply typed format TFF(1)
blanchet
parents: 44591
diff changeset
   866
      else to_mangled_atype
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   867
    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
   868
    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
   869
      | 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
   870
      | 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
   871
    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
   872
        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
   873
      | to_ho _ = raise Fail "unexpected type abstraction"
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   874
  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
   875
43677
2cd0b478d1b6 added generation of lambdas in THF
nik
parents: 43676
diff changeset
   876
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
   877
  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
   878
  o ho_term_from_typ format type_enc
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   879
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   880
fun mangled_const_name format type_enc T_args (s, s') =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   881
  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
   882
    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
   883
    fun type_suffix f g =
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   884
      fold_rev (curry (op ^) o g o prefix mangled_type_sep
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   885
                o generic_mangled_type_name f) ty_args ""
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   886
  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
   887
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
   888
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
   889
  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
   890
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
   891
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
   892
  (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
   893
   -- 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
   894
                    [] >> 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
   895
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
   896
  (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
   897
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
   898
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
   899
  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
   900
    |> 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
   901
           (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
   902
                                                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
   903
    |> 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
   904
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   905
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
   906
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
   907
  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
   908
    (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
   909
  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
   910
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   911
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
   912
  let
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   913
    fun tweak_ho_quant ho_quant T [IAbs _] = IConst (`I ho_quant, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   914
      | tweak_ho_quant ho_quant (T as Type (_, [p_T as Type (_, [x_T, _]), _]))
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   915
                       _ =
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   916
        (* Eta-expand "!!" and "??", to work around LEO-II 1.2.8 parser
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   917
           limitation. This works in conjuction with special code in
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   918
           "ATP_Problem" that uses the syntactic sugar "!" and "?" whenever
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   919
           possible. *)
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   920
        IAbs ((`I "P", p_T),
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   921
              IApp (IConst (`I ho_quant, T, []),
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   922
                    IAbs ((`I "X", x_T),
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   923
                          IApp (IConst (`I "P", p_T, []),
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   924
                                IConst (`I "X", x_T, [])))))
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   925
      | tweak_ho_quant _ _ _ = raise Fail "unexpected type for quantifier"
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   926
    fun intro top_level args (IApp (tm1, tm2)) =
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   927
        IApp (intro top_level (tm2 :: args) tm1, intro false [] tm2)
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   928
      | intro top_level args (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
   929
        (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
   930
           SOME proxy_base =>
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   931
           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
   932
             case (top_level, s) of
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   933
               (_, "c_False") => IConst (`I tptp_false, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   934
             | (_, "c_True") => IConst (`I tptp_true, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   935
             | (false, "c_Not") => IConst (`I tptp_not, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   936
             | (false, "c_conj") => IConst (`I tptp_and, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   937
             | (false, "c_disj") => IConst (`I tptp_or, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   938
             | (false, "c_implies") => IConst (`I tptp_implies, T, [])
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   939
             | (false, "c_All") => tweak_ho_quant tptp_ho_forall T args
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   940
             | (false, "c_Ex") => tweak_ho_quant tptp_ho_exists T args
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   941
             | (false, s) =>
44097
3cae91385086 workaround THF parser limitation
blanchet
parents: 44088
diff changeset
   942
               if is_tptp_equal s andalso length args = 2 then
3cae91385086 workaround THF parser limitation
blanchet
parents: 44088
diff changeset
   943
                 IConst (`I tptp_equal, T, [])
3cae91385086 workaround THF parser limitation
blanchet
parents: 44088
diff changeset
   944
               else
44589
0a1dfc6365e9 first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents: 44587
diff changeset
   945
                 (* Use a proxy even for partially applied THF0 equality,
0a1dfc6365e9 first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents: 44587
diff changeset
   946
                    because the LEO-II and Satallax parsers complain about not
0a1dfc6365e9 first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents: 44587
diff changeset
   947
                    being able to infer the type of "=". *)
44097
3cae91385086 workaround THF parser limitation
blanchet
parents: 44088
diff changeset
   948
                 IConst (proxy_base |>> prefix const_prefix, T, T_args)
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   949
             | _ => IConst (name, T, [])
42569
5737947e4c77 make sure that fequal keeps its type arguments for mangled type systems
blanchet
parents: 42568
diff changeset
   950
           else
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   951
             IConst (proxy_base |>> prefix const_prefix, T, T_args)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   952
          | NONE => if s = tptp_choice then
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   953
                      tweak_ho_quant tptp_choice T args
44589
0a1dfc6365e9 first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents: 44587
diff changeset
   954
                    else
0a1dfc6365e9 first step towards polymorphic TFF + changed defaults for Vampire
blanchet
parents: 44587
diff changeset
   955
                      IConst (name, T, T_args))
43987
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   956
      | intro _ _ (IAbs (bound, tm)) = IAbs (bound, intro false [] tm)
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   957
      | intro _ _ tm = tm
2850b7dc27a4 further worked around LEO-II parser limitation, with eta-expansion
blanchet
parents: 43985
diff changeset
   958
  in intro true [] end
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   959
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   960
fun iformula_from_prop thy format type_enc eq_as_iff =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   961
  let
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   962
    fun do_term bs t atomic_types =
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
   963
      iterm_from_term thy format bs (Envir.eta_contract t)
43626
a867ebb12209 renamed "type_sys" to "type_enc", which is more accurate
blanchet
parents: 43624
diff changeset
   964
      |>> (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
   965
      ||> union (op =) atomic_types
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   966
    fun do_quant bs q pos s T t' =
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   967
      let
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   968
        val s = singleton (Name.variant_list (map fst bs)) s
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   969
        val universal = Option.map (q = AExists ? not) pos
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   970
        val name =
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   971
          s |> `(case universal of
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   972
                   SOME true => make_all_bound_var
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   973
                 | SOME false => make_exist_bound_var
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   974
                 | NONE => make_bound_var)
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   975
      in
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   976
        do_formula ((s, (name, T)) :: bs) pos t'
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   977
        #>> mk_aquant q [(name, SOME T)]
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   978
      end
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   979
    and do_conn bs c pos1 t1 pos2 t2 =
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   980
      do_formula bs pos1 t1 ##>> do_formula bs pos2 t2 #>> uncurry (mk_aconn c)
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   981
    and do_formula bs pos t =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   982
      case t of
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   983
        @{const Trueprop} $ t1 => do_formula bs pos t1
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   984
      | @{const Not} $ t1 => do_formula bs (Option.map not pos) t1 #>> mk_anot
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   985
      | Const (@{const_name All}, _) $ Abs (s, T, t') =>
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   986
        do_quant bs AForall pos s T t'
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   987
      | Const (@{const_name Ex}, _) $ Abs (s, T, t') =>
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   988
        do_quant bs AExists pos s T t'
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   989
      | @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd pos t1 pos t2
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   990
      | @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr pos t1 pos t2
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   991
      | @{const HOL.implies} $ t1 $ t2 =>
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   992
        do_conn bs AImplies (Option.map not pos) t1 pos t2
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38829
diff changeset
   993
      | Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 =>
44403
15160cdc4688 precisely distinguish between universal and existential quantifiers, instead of assuming the worst (universal), for monotonicity analysis
blanchet
parents: 44402
diff changeset
   994
        if eq_as_iff then do_conn bs AIff NONE t1 NONE t2 else do_term bs t
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   995
      | _ => do_term bs t
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   996
  in do_formula [] end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   997
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   998
fun presimplify_term _ [] t = t
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   999
  | presimplify_term ctxt presimp_consts t =
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1000
    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
  1001
         ? (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
  1002
            #> Meson.presimplify ctxt
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1003
            #> prop_of)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1004
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1005
fun concealed_bound_name j = atp_weak_prefix ^ string_of_int j
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1006
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1007
  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
  1008
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1009
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1010
  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
  1011
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1012
43265
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1013
fun is_fun_equality (@{const_name HOL.eq},
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1014
                     Type (_, [Type (@{type_name fun}, _), _])) = true
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1015
  | is_fun_equality _ = false
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1016
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
  1017
fun extensionalize_term ctxt t =
43265
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1018
  if exists_Const is_fun_equality t then
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1019
    let val thy = Proof_Context.theory_of ctxt in
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1020
      t |> cterm_of thy |> Meson.extensionalize_conv ctxt
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1021
        |> prop_of |> Logic.dest_equals |> snd
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1022
    end
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1023
  else
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
  1024
    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
  1025
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1026
fun simple_translate_lambdas do_lambdas ctxt t =
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1027
  let val thy = Proof_Context.theory_of ctxt in
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1028
    if Meson.is_fol_term thy t then
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1029
      t
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1030
    else
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1031
      let
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1032
        fun aux Ts t =
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1033
          case t of
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1034
            @{const Not} $ t1 => @{const Not} $ aux Ts t1
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1035
          | (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1036
            t0 $ Abs (s, T, aux (T :: Ts) t')
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1037
          | (t0 as Const (@{const_name All}, _)) $ t1 =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1038
            aux Ts (t0 $ eta_expand Ts t1 1)
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1039
          | (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1040
            t0 $ Abs (s, T, aux (T :: Ts) t')
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1041
          | (t0 as Const (@{const_name Ex}, _)) $ t1 =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1042
            aux Ts (t0 $ eta_expand Ts t1 1)
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1043
          | (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1044
          | (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1045
          | (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1046
          | (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])))
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1047
              $ t1 $ t2 =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1048
            t0 $ aux Ts t1 $ aux Ts t2
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1049
          | _ =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1050
            if not (exists_subterm (fn Abs _ => true | _ => false) t) then t
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1051
            else t |> Envir.eta_contract |> do_lambdas ctxt Ts
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1052
        val (t, ctxt') = Variable.import_terms true [t] ctxt |>> the_single
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1053
      in t |> aux [] |> singleton (Variable.export_terms ctxt' ctxt) end
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1054
  end
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
  1055
43997
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1056
fun do_cheaply_conceal_lambdas Ts (t1 $ t2) =
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1057
    do_cheaply_conceal_lambdas Ts t1
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1058
    $ do_cheaply_conceal_lambdas Ts t2
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1059
  | do_cheaply_conceal_lambdas Ts (Abs (_, T, t)) =
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1060
    Free (polymorphic_free_prefix ^ serial_string (),
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1061
          T --> fastype_of1 (T :: Ts, t))
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1062
  | do_cheaply_conceal_lambdas _ t = t
43856
d636b053d4ff move more lambda-handling logic to Sledgehammer, from ATP module, for formal dependency reasons
blanchet
parents: 43830
diff changeset
  1063
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1064
fun do_introduce_combinators ctxt Ts t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
  1065
  let val thy = Proof_Context.theory_of ctxt in
43905
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1066
    t |> conceal_bounds Ts
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1067
      |> cterm_of thy
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1068
      |> Meson_Clausify.introduce_combinators_in_cterm
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1069
      |> prop_of |> Logic.dest_equals |> snd
1ace987e22e5 avoid calling "Term.is_first_order" (indirectly) on a term with loose de Bruijns -- this is not necessary anyway because of the Abs check in "simple_translate_lambdas"
blanchet
parents: 43864
diff changeset
  1070
      |> reveal_bounds Ts
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
  1071
  end
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1072
  (* A type variable of sort "{}" will make abstraction fail. *)
43997
578460971517 fixed lambda concealing
blanchet
parents: 43989
diff changeset
  1073
  handle THM _ => t |> do_cheaply_conceal_lambdas Ts
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1074
val introduce_combinators = simple_translate_lambdas do_introduce_combinators
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1075
43864
58a7b3fdc193 fixed lambda-liftg: must ensure the formulas are in close form
blanchet
parents: 43863
diff changeset
  1076
fun preprocess_abstractions_in_terms trans_lambdas facts =
43862
a14fdb8c0497 pass kind to lambda-translation function
blanchet
parents: 43861
diff changeset
  1077
  let
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1078
    val (facts, lambda_ts) =
44501
5bde887b4785 make polymorphic encodings more complete
blanchet
parents: 44500
diff changeset
  1079
      facts |> map (snd o snd) |> trans_lambdas
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1080
            |>> map2 (fn (name, (kind, _)) => fn t => (name, (kind, t))) facts
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1081
    val lambda_facts =
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1082
      map2 (fn t => fn j =>
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1083
               ((lambda_fact_prefix ^ Int.toString j, Helper), (Axiom, t)))
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1084
           lambda_ts (1 upto length lambda_ts)
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1085
  in (facts, lambda_facts) end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1086
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1087
(* 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
  1088
   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
  1089
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1090
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1091
    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
  1092
      | 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
  1093
      | aux (Var ((s, i), T)) =
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1094
        Free (atp_weak_prefix ^ s ^ "_" ^ string_of_int i, T)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1095
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1096
  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
  1097
43863
a43d61270142 ensure that the lambda translation procedure is called only once with all the facts, which is necessary for soundness of lambda-lifting (freshness of new names)
blanchet
parents: 43862
diff changeset
  1098
fun presimp_prop ctxt presimp_consts t =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1099
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
  1100
    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
  1101
    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
  1102
              |> transform_elim_prop
41211
1e2e16bc0077 no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents: 41199
diff changeset
  1103
              |> Object_Logic.atomize_term thy
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
  1104
    val need_trueprop = (fastype_of t = @{typ bool})
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1105
  in
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1106
    t |> need_trueprop ? HOLogic.mk_Trueprop
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1107
      |> Raw_Simplifier.rewrite_term thy (Meson.unfold_set_const_simps ctxt) []
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1108
      |> extensionalize_term ctxt
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1109
      |> 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
  1110
      |> perhaps (try (HOLogic.dest_Trueprop))
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1111
  end
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1112
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1113
(* making fact and conjecture formulas *)
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
  1114
fun make_formula thy format type_enc eq_as_iff name loc kind t =
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1115
  let
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1116
    val (iformula, atomic_types) =
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
  1117
      iformula_from_prop thy format type_enc eq_as_iff (SOME (kind <> Conjecture)) t []
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1118
  in
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1119
    {name = name, locality = loc, kind = kind, iformula = iformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
  1120
     atomic_types = atomic_types}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1121
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1122
43860
57ef3cd4126e more refactoring of preprocessing, so as to be able to centralize it
blanchet
parents: 43859
diff changeset
  1123
fun make_fact ctxt format type_enc eq_as_iff ((name, loc), t) =
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1124
  let val thy = Proof_Context.theory_of ctxt in
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
  1125
    case t |> make_formula thy format type_enc (eq_as_iff andalso format <> CNF)
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
  1126
                           name loc Axiom of
43859
b7890554c424 renamed internal data structure
blanchet
parents: 43858
diff changeset
  1127
      formula as {iformula = AAtom (IConst ((s, _), _, _)), ...} =>
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1128
      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
  1129
    | formula => SOME formula
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
  1130
  end
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1131
44460
blanchet
parents: 44450
diff changeset
  1132
fun s_not_trueprop (@{const Trueprop} $ t) = @{const Trueprop} $ s_not t
blanchet
parents: 44450
diff changeset
  1133
  | s_not_trueprop t = s_not t
blanchet
parents: 44450
diff changeset
  1134
44463
c471a2b48fa1 make sure that all facts are passed to ATP from minimizer
blanchet
parents: 44460
diff changeset
  1135
fun make_conjecture thy format type_enc =
c471a2b48fa1 make sure that all facts are passed to ATP from minimizer
blanchet
parents: 44460
diff changeset
  1136
  map (fn ((name, loc), (kind, t)) =>
c471a2b48fa1 make sure that all facts are passed to ATP from minimizer
blanchet
parents: 44460
diff changeset
  1137
          t |> kind = Conjecture ? s_not_trueprop
44495
4c2242c8a96c added choice operator output for
nik
parents: 44494
diff changeset
  1138
            |> make_formula thy format type_enc (format <> CNF) name loc kind)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1139
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
  1140
(** 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
  1141
44399
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1142
type monotonicity_info =
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1143
  {maybe_finite_Ts : typ list,
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1144
   surely_finite_Ts : typ list,
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1145
   maybe_infinite_Ts : typ list,
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1146
   surely_infinite_Ts : typ list,
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1147
   maybe_nonmono_Ts : typ list}
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1148
44397
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
  1149
(* These types witness that the type classes they belong to allow infinite
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
  1150
   models and hence that any types with these type classes is monotonic. *)
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
  1151
val known_infinite_types =
44634
2ac4ff398bc3 make "sound" sound and "unsound" more sound, based on evaluation
blanchet
parents: 44626
diff changeset
  1152
  [@{typ nat}, HOLogic.intT, HOLogic.realT, @{typ "nat => bool"}]
44397
06375952f1fa cleaner handling of polymorphic monotonicity inference
blanchet
parents: 44396
diff changeset
  1153
44500
dbd98b549597 make default unsound mode less unsound
blanchet
parents: 44499
diff changeset
  1154
fun is_type_kind_of_surely_infinite ctxt soundness cached_Ts T =
44634
2ac4ff398bc3 make "sound" sound and "unsound" more sound, based on evaluation
blanchet
parents: 44626
diff changeset
  1155
  soundness <> Sound andalso is_type_surely_infinite ctxt true cached_Ts T
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
  1156
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
  1157
(* 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
  1158
   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
  1159
   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
  1160
   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
  1161
44399
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1162
fun should_encode_type _ (_ : monotonicity_info) All_Types _ = true
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1163
  | should_encode_type ctxt {maybe_finite_Ts, surely_infinite_Ts,
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1164
                             maybe_nonmono_Ts, ...}
44768
a7bc1bdb8bb4 rationalize uniform encodings
blanchet
parents: 44754
diff changeset
  1165
                       (Noninf_Nonmono_Types (soundness, _)) T =
44491
ba22ed224b20 fixed bang encoding detection of which types to encode
blanchet
parents: 44463
diff changeset
  1166
    exists (type_intersect ctxt T) maybe_nonmono_Ts andalso
44399
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1167
    not (exists (type_instance ctxt T) surely_infinite_Ts orelse
cd1e32b8d4c4 added caching for (in)finiteness checks
blanchet
parents: 44398
diff changeset
  1168
         (not (member (type_aconv ctxt) maybe_finite_Ts T) andalso
44500
dbd98b549597 make default unsound mode less unsound
blanchet
parents: 44499
diff changeset
  1169
          is_type_kind_of_surely_infinite ctxt soundness surely_infinite_Ts T))
44399
cd1e32b8d4c4 added ca