src/HOL/Tools/ATP/atp_translate.ML
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generate less type information in polymorphic case
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(*  Title:      HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML
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    Author:     Fabian Immler, TU Muenchen
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    Author:     Makarius
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    Author:     Jasmin Blanchette, TU Muenchen
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Translation of HOL to FOL for Sledgehammer.
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*)
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signature ATP_TRANSLATE =
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sig
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  type 'a fo_term = 'a ATP_Problem.fo_term
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  type connective = ATP_Problem.connective
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  type ('a, 'b, 'c) formula = ('a, 'b, 'c) ATP_Problem.formula
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  type format = ATP_Problem.format
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  type formula_kind = ATP_Problem.formula_kind
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  type 'a problem = 'a ATP_Problem.problem
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  type name = string * string
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  datatype type_literal =
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    TyLitVar of name * name |
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    TyLitFree of name * name
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  datatype arity_literal =
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    TConsLit of name * name * name list |
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    TVarLit of name * name
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  type arity_clause =
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    {name: string,
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     prem_lits: arity_literal list,
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     concl_lits: arity_literal}
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  type class_rel_clause =
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    {name: string,
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     subclass: name,
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     superclass: name}
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  datatype combterm =
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    CombConst of name * typ * typ list |
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    CombVar of name * typ |
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    CombApp of combterm * combterm
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  datatype locality = General | Intro | Elim | Simp | Local | Assum | Chained
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  datatype polymorphism = Polymorphic | Monomorphic | Mangled_Monomorphic
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  datatype type_level =
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    All_Types | Nonmonotonic_Types | Finite_Types | Const_Arg_Types | No_Types
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  datatype type_heaviness = Heavyweight | Lightweight
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  datatype type_sys =
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    Simple_Types of type_level |
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    Preds of polymorphism * type_level * type_heaviness |
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    Tags of polymorphism * type_level * type_heaviness
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  type translated_formula
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  val bound_var_prefix : string
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  val schematic_var_prefix: string
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  val fixed_var_prefix: string
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  val tvar_prefix: string
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  val tfree_prefix: string
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  val const_prefix: string
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  val type_const_prefix: string
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  val class_prefix: string
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  val skolem_const_prefix : string
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  val old_skolem_const_prefix : string
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  val new_skolem_const_prefix : string
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  val type_decl_prefix : string
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  val sym_decl_prefix : string
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  val preds_sym_formula_prefix : string
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  val lightweight_tags_sym_formula_prefix : string
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  val fact_prefix : string
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  val conjecture_prefix : string
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  val helper_prefix : string
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  val class_rel_clause_prefix : string
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  val arity_clause_prefix : string
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  val tfree_clause_prefix : string
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  val typed_helper_suffix : string
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  val untyped_helper_suffix : string
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  val type_tag_idempotence_helper_name : string
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  val predicator_name : string
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  val app_op_name : string
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  val type_tag_name : string
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  val type_pred_name : string
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  val simple_type_prefix : string
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  val prefixed_predicator_name : string
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  val prefixed_app_op_name : string
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  val prefixed_type_tag_name : string
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  val ascii_of: string -> string
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  val unascii_of: string -> string
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  val strip_prefix_and_unascii : string -> string -> string option
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  val proxy_table : (string * (string * (thm * (string * string)))) list
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  val proxify_const : string -> (string * string) option
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  val invert_const: string -> string
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  val unproxify_const: string -> string
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  val make_bound_var : string -> string
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  val make_schematic_var : string * int -> string
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  val make_fixed_var : string -> string
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  val make_schematic_type_var : string * int -> string
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  val make_fixed_type_var : string -> string
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  val make_fixed_const : string -> string
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  val make_fixed_type_const : string -> string
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  val make_type_class : string -> string
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  val new_skolem_var_name_from_const : string -> string
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  val num_type_args : theory -> string -> int
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  val make_arity_clauses :
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    theory -> string list -> class list -> class list * arity_clause list
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  val make_class_rel_clauses :
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    theory -> class list -> class list -> class_rel_clause list
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  val combtyp_of : combterm -> typ
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  val strip_combterm_comb : combterm -> combterm * combterm list
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  val atyps_of : typ -> typ list
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  val combterm_from_term :
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    theory -> (string * typ) list -> term -> combterm * typ list
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  val is_locality_global : locality -> bool
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  val type_sys_from_string : string -> type_sys
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  val polymorphism_of_type_sys : type_sys -> polymorphism
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  val level_of_type_sys : type_sys -> type_level
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  val is_type_sys_virtually_sound : type_sys -> bool
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  val is_type_sys_fairly_sound : type_sys -> bool
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  val choose_format : format list -> type_sys -> format * type_sys
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  val raw_type_literals_for_types : typ list -> type_literal list
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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_name : string -> string
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  val unmangled_const : string -> string * string fo_term list
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  val translate_atp_fact :
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    Proof.context -> format -> type_sys -> bool -> (string * locality) * thm
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    -> translated_formula option * ((string * locality) * thm)
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  val helper_table : ((string * bool) * thm list) list
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  val should_specialize_helper : type_sys -> term -> bool
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  val tfree_classes_of_terms : term list -> string list
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  val tvar_classes_of_terms : term list -> string list
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  val type_constrs_of_terms : theory -> term list -> string list
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  val prepare_atp_problem :
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    Proof.context -> format -> formula_kind -> formula_kind -> type_sys
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    -> bool option -> bool -> bool -> term list -> term
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    -> (translated_formula option * ((string * 'a) * thm)) list
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    -> string problem * string Symtab.table * int * int
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       * (string * 'a) 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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(* FIXME: avoid *)
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fun union_all xss = fold (union (op =)) xss []
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(* experimental *)
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val generate_useful_info = false
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fun useful_isabelle_info s =
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  if generate_useful_info then
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    SOME (ATerm ("[]", [ATerm ("isabelle_" ^ s, [])]))
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  else
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    NONE
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val intro_info = useful_isabelle_info "intro"
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val elim_info = useful_isabelle_info "elim"
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val simp_info = useful_isabelle_info "simp"
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val bound_var_prefix = "B_"
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val schematic_var_prefix = "V_"
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val fixed_var_prefix = "v_"
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val tvar_prefix = "T_"
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val tfree_prefix = "t_"
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val const_prefix = "c_"
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val type_const_prefix = "tc_"
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val class_prefix = "cl_"
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val skolem_const_prefix = "Sledgehammer" ^ Long_Name.separator ^ "Sko"
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val old_skolem_const_prefix = skolem_const_prefix ^ "o"
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val new_skolem_const_prefix = skolem_const_prefix ^ "n"
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val type_decl_prefix = "ty_"
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val sym_decl_prefix = "sy_"
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val preds_sym_formula_prefix = "psy_"
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val lightweight_tags_sym_formula_prefix = "tsy_"
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val fact_prefix = "fact_"
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val conjecture_prefix = "conj_"
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val helper_prefix = "help_"
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val class_rel_clause_prefix = "clar_"
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val arity_clause_prefix = "arity_"
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val tfree_clause_prefix = "tfree_"
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val typed_helper_suffix = "_T"
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val untyped_helper_suffix = "_U"
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val type_tag_idempotence_helper_name = helper_prefix ^ "ti_idem"
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val predicator_name = "hBOOL"
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val app_op_name = "hAPP"
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val type_tag_name = "ti"
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val type_pred_name = "is"
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val simple_type_prefix = "ty_"
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val prefixed_predicator_name = const_prefix ^ predicator_name
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val prefixed_app_op_name = const_prefix ^ app_op_name
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val prefixed_type_tag_name = const_prefix ^ type_tag_name
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(* Freshness almost guaranteed! *)
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val sledgehammer_weak_prefix = "Sledgehammer:"
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(*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 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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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 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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(*Remove the initial ' character from a type variable, if it is present*)
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fun trim_type_var s =
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  if s <> "" andalso String.sub(s,0) = #"'" then String.extract(s,1,NONE)
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  else raise Fail ("trim_type: Malformed type variable encountered: " ^ s)
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fun ascii_of_indexname (v,0) = ascii_of v
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  | ascii_of_indexname (v,i) = ascii_of v ^ "_" ^ string_of_int i
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fun make_bound_var x = bound_var_prefix ^ ascii_of x
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fun make_schematic_var v = schematic_var_prefix ^ ascii_of_indexname v
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fun make_fixed_var x = fixed_var_prefix ^ ascii_of x
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fun make_schematic_type_var (x,i) =
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      tvar_prefix ^ (ascii_of_indexname (trim_type_var x, i))
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fun make_fixed_type_var x = tfree_prefix ^ (ascii_of (trim_type_var x))
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(* HOL.eq MUST BE "equal" because it's built into ATPs. *)
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fun make_fixed_const @{const_name HOL.eq} = "equal"
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  | make_fixed_const c = const_prefix ^ lookup_const c
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fun make_fixed_type_const c = type_const_prefix ^ lookup_const c
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fun make_type_class clas = class_prefix ^ ascii_of clas
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fun new_skolem_var_name_from_const s =
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  let val ss = s |> space_explode Long_Name.separator in
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    nth ss (length ss - 2)
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  end
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(* The number of type arguments of a constant, zero if it's monomorphic. For
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   (instances of) Skolem pseudoconstants, this information is encoded in the
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   constant name. *)
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fun num_type_args thy s =
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  if String.isPrefix skolem_const_prefix s then
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    s |> space_explode Long_Name.separator |> List.last |> Int.fromString |> the
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  else
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    (s, Sign.the_const_type thy s) |> Sign.const_typargs thy |> length
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(** Definitions and functions for FOL clauses and formulas for TPTP **)
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(* The first component is the type class; the second is a "TVar" or "TFree". *)
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datatype type_literal =
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  TyLitVar of name * name |
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  TyLitFree of name * name
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(** Isabelle arities **)
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datatype arity_literal =
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  TConsLit of name * name * name list |
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  TVarLit of name * name
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fun gen_TVars 0 = []
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  | gen_TVars n = ("T_" ^ string_of_int n) :: gen_TVars (n-1)
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fun pack_sort (_,[])  = []
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  | pack_sort (tvar, "HOL.type" :: srt) =
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    pack_sort (tvar, srt) (* IGNORE sort "type" *)
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  | pack_sort (tvar, cls :: srt) =
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    (`make_type_class cls, `I tvar) :: pack_sort (tvar, srt)
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type arity_clause =
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  {name: string,
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   prem_lits: arity_literal list,
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   concl_lits: arity_literal}
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(* Arity of type constructor "tcon :: (arg1, ..., argN) res" *)
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fun make_axiom_arity_clause (tcons, name, (cls, args)) =
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  let
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    val tvars = gen_TVars (length args)
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    val tvars_srts = ListPair.zip (tvars, args)
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  in
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    {name = name,
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     prem_lits = map TVarLit (union_all (map pack_sort tvars_srts)),
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     concl_lits = TConsLit (`make_type_class cls,
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                            `make_fixed_type_const tcons,
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                            tvars ~~ tvars)}
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  end
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fun arity_clause _ _ (_, []) = []
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  | arity_clause seen n (tcons, ("HOL.type",_)::ars) =  (*ignore*)
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      arity_clause seen n (tcons,ars)
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  | arity_clause seen n (tcons, (ar as (class,_)) :: ars) =
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      if member (op =) seen class then (*multiple arities for the same tycon, class pair*)
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          make_axiom_arity_clause (tcons, lookup_const tcons ^ "_" ^ class ^ "_" ^ string_of_int n, 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 ^ "_" ^ 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 theory thy
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  provided its arguments have the corresponding sorts.*)
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fun type_class_pairs thy tycons classes =
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  let
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    val alg = Sign.classes_of thy
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    fun domain_sorts tycon = Sorts.mg_domain alg tycon o single
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    fun add_class tycon class =
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      cons (class, domain_sorts tycon class)
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      handle Sorts.CLASS_ERROR _ => I
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    fun try_classes tycon = (tycon, fold (add_class tycon) classes [])
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  in map try_classes tycons end
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(*Proving one (tycon, class) membership may require proving others, so iterate.*)
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fun iter_type_class_pairs _ _ [] = ([], [])
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  | iter_type_class_pairs thy tycons classes =
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      let val cpairs = type_class_pairs thy tycons classes
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          val newclasses = union_all (union_all (union_all (map (map #2 o #2) cpairs)))
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            |> subtract (op =) classes |> subtract (op =) HOLogic.typeS
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          val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses
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      in (union (op =) classes' classes, union (op =) cpairs' cpairs) end
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   436
fun make_arity_clauses thy tycons =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   437
  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
   438
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   439
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   440
(** Isabelle class relations **)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   441
43086
blanchet
parents: 43085
diff changeset
   442
type class_rel_clause =
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parents: 43085
diff changeset
   443
  {name: string,
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parents: 43085
diff changeset
   444
   subclass: name,
blanchet
parents: 43085
diff changeset
   445
   superclass: name}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   446
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   447
(*Generate all pairs (sub,super) such that sub is a proper subclass of super in theory thy.*)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   448
fun class_pairs _ [] _ = []
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   449
  | class_pairs thy subs supers =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   450
      let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   451
        val class_less = Sorts.class_less (Sign.classes_of thy)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   452
        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
   453
        fun add_supers sub = fold (add_super sub) supers
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   454
      in fold add_supers subs [] end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   455
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   456
fun make_class_rel_clause (sub,super) =
43086
blanchet
parents: 43085
diff changeset
   457
  {name = sub ^ "_" ^ super,
blanchet
parents: 43085
diff changeset
   458
   subclass = `make_type_class sub,
blanchet
parents: 43085
diff changeset
   459
   superclass = `make_type_class super}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   460
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   461
fun make_class_rel_clauses thy subs supers =
43093
blanchet
parents: 43092
diff changeset
   462
  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
   463
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   464
datatype combterm =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   465
  CombConst of name * typ * typ list |
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   466
  CombVar of name * typ |
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   467
  CombApp of combterm * combterm
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   468
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   469
fun combtyp_of (CombConst (_, T, _)) = T
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   470
  | combtyp_of (CombVar (_, T)) = T
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   471
  | combtyp_of (CombApp (t1, _)) = snd (dest_funT (combtyp_of t1))
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   472
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   473
(*gets the head of a combinator application, along with the list of arguments*)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   474
fun strip_combterm_comb u =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   475
    let fun stripc (CombApp(t,u), ts) = stripc (t, u::ts)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   476
        |   stripc  x =  x
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   477
    in stripc(u,[]) end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   478
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   479
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
   480
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   481
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
   482
  [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
   483
  |> space_implode Long_Name.separator
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
(* Converts a term (with combinators) into a combterm. Also accumulates sort
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   486
   infomation. *)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   487
fun combterm_from_term thy bs (P $ Q) =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   488
    let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   489
      val (P', P_atomics_Ts) = combterm_from_term thy bs P
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   490
      val (Q', Q_atomics_Ts) = combterm_from_term thy bs Q
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   491
    in (CombApp (P', Q'), union (op =) P_atomics_Ts Q_atomics_Ts) end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   492
  | combterm_from_term thy _ (Const (c, T)) =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   493
    let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   494
      val tvar_list =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   495
        (if String.isPrefix old_skolem_const_prefix c then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   496
           [] |> Term.add_tvarsT T |> map TVar
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   497
         else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   498
           (c, T) |> Sign.const_typargs thy)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   499
      val c' = CombConst (`make_fixed_const c, T, tvar_list)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   500
    in (c', atyps_of T) end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   501
  | combterm_from_term _ _ (Free (v, T)) =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   502
    (CombConst (`make_fixed_var v, T, []), atyps_of T)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   503
  | combterm_from_term _ _ (Var (v as (s, _), T)) =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   504
    (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
   505
       let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   506
         val Ts = T |> strip_type |> swap |> op ::
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   507
         val s' = new_skolem_const_name s (length Ts)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   508
       in CombConst (`make_fixed_const s', T, Ts) end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   509
     else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   510
       CombVar ((make_schematic_var v, s), T), atyps_of T)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   511
  | combterm_from_term _ bs (Bound j) =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   512
    nth bs j
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   513
    |> (fn (s, T) => (CombConst (`make_bound_var s, T, []), atyps_of T))
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   514
  | combterm_from_term _ _ (Abs _) = raise Fail "HOL clause: Abs"
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   515
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   516
datatype locality = General | Intro | Elim | Simp | Local | Assum | Chained
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   517
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   518
(* (quasi-)underapproximation of the truth *)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   519
fun is_locality_global Local = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   520
  | is_locality_global Assum = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   521
  | is_locality_global Chained = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   522
  | is_locality_global _ = true
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   523
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   524
datatype polymorphism = Polymorphic | Monomorphic | Mangled_Monomorphic
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   525
datatype type_level =
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
   526
  All_Types | Nonmonotonic_Types | Finite_Types | Const_Arg_Types | No_Types
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   527
datatype type_heaviness = Heavyweight | Lightweight
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   528
43102
9a42899ec169 tuned name
blanchet
parents: 43101
diff changeset
   529
datatype type_sys =
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   530
  Simple_Types of type_level |
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   531
  Preds of polymorphism * type_level * type_heaviness |
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   532
  Tags of polymorphism * type_level * type_heaviness
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   533
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   534
fun try_unsuffixes ss s =
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   535
  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
   536
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
   537
fun type_sys_from_string s =
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   538
  (case try (unprefix "poly_") s of
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   539
     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
   540
   | NONE =>
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   541
     case try (unprefix "mono_") s of
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   542
       SOME s => (SOME Monomorphic, s)
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   543
     | NONE =>
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   544
       case try (unprefix "mangled_") s of
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   545
         SOME s => (SOME Mangled_Monomorphic, s)
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   546
       | 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
   547
  ||> (fn s =>
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   548
          (* "_query" and "_bang" are for the ASCII-challenged Mirabelle. *)
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   549
          case try_unsuffixes ["?", "_query"] s of
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
   550
            SOME s => (Nonmonotonic_Types, s)
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
   551
          | NONE =>
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   552
            case try_unsuffixes ["!", "_bang"] s of
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   553
              SOME s => (Finite_Types, s)
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
   554
            | NONE => (All_Types, s))
42828
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   555
  ||> apsnd (fn s =>
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   556
                case try (unsuffix "_heavy") s of
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   557
                  SOME s => (Heavyweight, s)
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   558
                | NONE => (Lightweight, s))
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   559
  |> (fn (poly, (level, (heaviness, core))) =>
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   560
         case (core, (poly, level, heaviness)) of
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   561
           ("simple", (NONE, _, Lightweight)) => Simple_Types level
42854
d99167ac4f8a since we always default on the "_light" encoding (for good reasons, according to Judgment Day), get rid of that suffix
blanchet
parents: 42852
diff changeset
   562
         | ("preds", (SOME poly, _, _)) => Preds (poly, level, heaviness)
42851
3bb63850488b removed "poly_tags_light_bang" since highly unsound
blanchet
parents: 42837
diff changeset
   563
         | ("tags", (SOME Polymorphic, All_Types, _)) =>
42854
d99167ac4f8a since we always default on the "_light" encoding (for good reasons, according to Judgment Day), get rid of that suffix
blanchet
parents: 42852
diff changeset
   564
           Tags (Polymorphic, All_Types, heaviness)
42886
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   565
         | ("tags", (SOME Polymorphic, _, _)) =>
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
   566
           (* The actual light encoding is very unsound. *)
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   567
           Tags (Polymorphic, level, Heavyweight)
42854
d99167ac4f8a since we always default on the "_light" encoding (for good reasons, according to Judgment Day), get rid of that suffix
blanchet
parents: 42852
diff changeset
   568
         | ("tags", (SOME poly, _, _)) => Tags (poly, level, heaviness)
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   569
         | ("args", (SOME poly, All_Types (* naja *), Lightweight)) =>
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   570
           Preds (poly, Const_Arg_Types, Lightweight)
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   571
         | ("erased", (NONE, All_Types (* naja *), Lightweight)) =>
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   572
           Preds (Polymorphic, No_Types, Lightweight)
42753
c9552e617acc drop some type arguments to constants in unsound type systems + remove a few type systems that make no sense from the circulation
blanchet
parents: 42750
diff changeset
   573
         | _ => 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
   574
  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
   575
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   576
fun polymorphism_of_type_sys (Simple_Types _) = Mangled_Monomorphic
42828
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   577
  | polymorphism_of_type_sys (Preds (poly, _, _)) = poly
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   578
  | polymorphism_of_type_sys (Tags (poly, _, _)) = poly
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   579
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   580
fun level_of_type_sys (Simple_Types level) = level
42828
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   581
  | level_of_type_sys (Preds (_, level, _)) = level
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   582
  | level_of_type_sys (Tags (_, level, _)) = level
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   583
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   584
fun heaviness_of_type_sys (Simple_Types _) = Heavyweight
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   585
  | heaviness_of_type_sys (Preds (_, _, heaviness)) = heaviness
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   586
  | heaviness_of_type_sys (Tags (_, _, heaviness)) = heaviness
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   587
42687
blanchet
parents: 42685
diff changeset
   588
fun is_type_level_virtually_sound level =
blanchet
parents: 42685
diff changeset
   589
  level = All_Types orelse level = Nonmonotonic_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
   590
val is_type_sys_virtually_sound =
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
   591
  is_type_level_virtually_sound o level_of_type_sys
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
   592
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
   593
fun is_type_level_fairly_sound level =
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
   594
  is_type_level_virtually_sound level orelse level = Finite_Types
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
   595
val is_type_sys_fairly_sound = is_type_level_fairly_sound o level_of_type_sys
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
   596
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   597
fun is_setting_higher_order THF (Simple_Types _) = true
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   598
  | is_setting_higher_order _ _ = false
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   599
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   600
fun choose_format formats (Simple_Types level) =
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   601
    if member (op =) formats THF then (THF, Simple_Types level)
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   602
    else if member (op =) formats TFF then (TFF, Simple_Types level)
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   603
    else choose_format formats (Preds (Mangled_Monomorphic, level, Heavyweight))
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   604
  | choose_format formats type_sys =
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   605
    (case hd formats of
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   606
       CNF_UEQ =>
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   607
       (CNF_UEQ, case type_sys of
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   608
                   Preds stuff =>
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   609
                   (if is_type_sys_fairly_sound type_sys then Preds else Tags)
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   610
                       stuff
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   611
                 | _ => type_sys)
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   612
     | format => (format, type_sys))
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   613
40114
blanchet
parents: 40069
diff changeset
   614
type translated_formula =
38752
6628adcae4a7 consider "locality" when assigning weights to facts
blanchet
parents: 38748
diff changeset
   615
  {name: string,
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   616
   locality: locality,
42525
7a506b0b644f distinguish FOF and TFF (typed first-order) in ATP abstract syntax tree
blanchet
parents: 42524
diff changeset
   617
   kind: formula_kind,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   618
   combformula: (name, typ, combterm) formula,
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   619
   atomic_types: typ list}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   620
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   621
fun update_combformula f ({name, locality, kind, combformula, atomic_types}
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   622
                          : translated_formula) =
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   623
  {name = name, locality = locality, kind = kind, combformula = f combformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   624
   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
   625
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
   626
fun fact_lift f ({combformula, ...} : translated_formula) = f combformula
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
   627
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
   628
val type_instance = Sign.typ_instance o Proof_Context.theory_of
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   629
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
   630
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
   631
  let val T = get_T x in
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   632
    if exists (curry (type_instance ctxt) T o get_T) xs then xs
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   633
    else x :: filter_out (curry (type_instance ctxt o swap) T o get_T) xs
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
   634
  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
   635
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
   636
(* 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
   637
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
   638
  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
   639
  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
   640
  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
   641
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   642
fun should_drop_arg_type_args (Simple_Types _) =
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   643
    false (* since TFF doesn't support overloading *)
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   644
  | should_drop_arg_type_args type_sys =
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   645
    level_of_type_sys type_sys = All_Types andalso
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   646
    heaviness_of_type_sys type_sys = Heavyweight
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   647
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   648
fun general_type_arg_policy (Tags (_, All_Types, Heavyweight)) = No_Type_Args
43105
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   649
  | general_type_arg_policy type_sys =
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   650
    if level_of_type_sys type_sys = No_Types then
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   651
      No_Type_Args
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   652
    else if polymorphism_of_type_sys type_sys = Mangled_Monomorphic then
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   653
      Mangled_Type_Args (should_drop_arg_type_args type_sys)
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   654
    else
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   655
      Explicit_Type_Args (should_drop_arg_type_args type_sys)
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   656
42951
40bf0173fbed pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents: 42944
diff changeset
   657
fun type_arg_policy type_sys s =
40bf0173fbed pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents: 42944
diff changeset
   658
  if s = @{const_name HOL.eq} orelse
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   659
     (s = app_op_name andalso level_of_type_sys type_sys = Const_Arg_Types) then
42951
40bf0173fbed pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents: 42944
diff changeset
   660
    No_Type_Args
43105
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   661
  else if s = type_tag_name then
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   662
    Explicit_Type_Args false
42951
40bf0173fbed pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents: 42944
diff changeset
   663
  else
40bf0173fbed pass no type args to hAPP in "poly_args" type system, which is unsound anyway and should correspond as closely as possible to the old unsound encoding
blanchet
parents: 42944
diff changeset
   664
    general_type_arg_policy type_sys
42227
662b50b7126f if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents: 42180
diff changeset
   665
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   666
(*Make literals for sorted type variables*)
43098
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   667
fun generic_sorts_on_type (_, []) = []
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   668
  | generic_sorts_on_type ((x, i), s :: ss) =
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   669
    generic_sorts_on_type ((x, i), ss)
43093
blanchet
parents: 43092
diff changeset
   670
    |> (if s = the_single @{sort HOL.type} then
blanchet
parents: 43092
diff changeset
   671
          I
blanchet
parents: 43092
diff changeset
   672
        else if i = ~1 then
blanchet
parents: 43092
diff changeset
   673
          cons (TyLitFree (`make_type_class s, `make_fixed_type_var x))
blanchet
parents: 43092
diff changeset
   674
        else
blanchet
parents: 43092
diff changeset
   675
          cons (TyLitVar (`make_type_class s,
blanchet
parents: 43092
diff changeset
   676
                          (make_schematic_type_var (x, i), x))))
43098
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   677
fun sorts_on_tfree (TFree (s, S)) = generic_sorts_on_type ((s, ~1), S)
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   678
  | sorts_on_tfree _ = []
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   679
fun sorts_on_tvar (TVar z) = generic_sorts_on_type z
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   680
  | sorts_on_tvar _ = []
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   681
43098
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   682
(* Given a list of sorted type variables, return a list of type literals. *)
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   683
fun raw_type_literals_for_types Ts =
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   684
  union_all (map sorts_on_tfree Ts @ map sorts_on_tvar Ts)
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   685
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   686
fun type_literals_for_types type_sys sorts_on_typ Ts =
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   687
  if level_of_type_sys type_sys = No_Types then []
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   688
  else union_all (map sorts_on_typ Ts)
41137
8b634031b2a5 implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents: 41136
diff changeset
   689
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
   690
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
   691
  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
   692
    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
   693
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   694
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
   695
  | 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
   696
fun mk_aquant _ [] phi = phi
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   697
  | 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
   698
    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
   699
  | 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
   700
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   701
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
   702
  let
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   703
    fun formula_vars bounds (AQuant (_, xs, phi)) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   704
        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
   705
      | 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
   706
      | formula_vars bounds (AAtom tm) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   707
        union (op =) (atom_vars tm []
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   708
                      |> 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
   709
  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
   710
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   711
fun combterm_vars (CombApp (tm1, tm2)) = fold combterm_vars [tm1, tm2]
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   712
  | combterm_vars (CombConst _) = I
42574
blanchet
parents: 42573
diff changeset
   713
  | combterm_vars (CombVar (name, T)) = insert (op =) (name, SOME T)
42674
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   714
fun close_combformula_universally phi = close_universally combterm_vars phi
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   715
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   716
fun term_vars (ATerm (name as (s, _), tms)) =
42998
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
   717
  is_tptp_variable s ? insert (op =) (name, NONE) #> fold term_vars tms
42674
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   718
fun close_formula_universally phi = close_universally term_vars phi
41145
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   719
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   720
val homo_infinite_type_name = @{type_name ind} (* any infinite type *)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   721
val homo_infinite_type = Type (homo_infinite_type_name, [])
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   722
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
   723
fun fo_term_from_typ format type_sys =
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   724
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   725
    fun term (Type (s, Ts)) =
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
   726
      ATerm (case (is_setting_higher_order format type_sys, s) of
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   727
               (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
   728
             | (true, @{type_name fun}) => `I tptp_fun_type
43178
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   729
             | _ => if s = homo_infinite_type_name andalso
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   730
                       (format = TFF orelse format = THF) then
b5862142d378 use "" type only in THF and TFF -- might cause strange failures if used in FOF or CNF, depending on how liberal the prover is
blanchet
parents: 43175
diff changeset
   731
                      `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
   732
                    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
   733
                      `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
   734
             map term Ts)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   735
    | term (TFree (s, _)) = ATerm (`make_fixed_type_var s, [])
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   736
    | term (TVar ((x as (s, _)), _)) =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   737
      ATerm ((make_schematic_type_var x, s), [])
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   738
  in term end
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   739
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   740
(* 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
   741
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
   742
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   743
fun generic_mangled_type_name f (ATerm (name, [])) = f name
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   744
  | 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
   745
    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
   746
    ^ ")"
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
   747
42998
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
   748
val bool_atype = AType (`I tptp_bool_type)
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
   749
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   750
fun make_simple_type s =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   751
  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
   752
     s = tptp_individual_type then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   753
    s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   754
  else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   755
    simple_type_prefix ^ ascii_of s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   756
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
   757
fun ho_type_from_fo_term format type_sys pred_sym ary =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   758
  let
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   759
    fun to_atype ty =
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   760
      AType ((make_simple_type (generic_mangled_type_name fst ty),
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   761
              generic_mangled_type_name snd ty))
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   762
    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
   763
    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
   764
      | to_fo ary (ATerm (_, tys)) = to_afun to_atype (to_fo (ary - 1)) tys
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   765
    fun to_ho (ty as ATerm ((s, _), tys)) =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   766
      if s = tptp_fun_type then to_afun to_ho to_ho tys else to_atype ty
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
   767
  in if is_setting_higher_order format type_sys then to_ho else to_fo ary end
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   768
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
   769
fun mangled_type format type_sys pred_sym ary =
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
   770
  ho_type_from_fo_term format type_sys pred_sym ary
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
   771
  o fo_term_from_typ format type_sys
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   772
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
   773
fun mangled_const_name format type_sys T_args (s, s') =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   774
  let
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
   775
    val ty_args = map (fo_term_from_typ format type_sys) T_args
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   776
    fun type_suffix f g =
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   777
      fold_rev (curry (op ^) o g o prefix mangled_type_sep
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   778
                o generic_mangled_type_name f) ty_args ""
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   779
  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
   780
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
   781
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
   782
  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
   783
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
   784
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
   785
  (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
   786
   -- 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
   787
                    [] >> 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
   788
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
   789
  (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
   790
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
   791
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
   792
  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
   793
    |> 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
   794
           (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
   795
                                                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
   796
    |> 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
   797
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   798
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
   799
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
   800
  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
   801
    (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
   802
  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
   803
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   804
fun introduce_proxies format type_sys =
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   805
  let
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   806
    fun intro top_level (CombApp (tm1, tm2)) =
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   807
        CombApp (intro top_level tm1, intro false tm2)
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   808
      | intro top_level (CombConst (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
   809
        (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
   810
           SOME proxy_base =>
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   811
           if top_level orelse is_setting_higher_order format type_sys then
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   812
             case (top_level, s) of
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   813
               (_, "c_False") => (`I tptp_false, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   814
             | (_, "c_True") => (`I tptp_true, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   815
             | (false, "c_Not") => (`I tptp_not, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   816
             | (false, "c_conj") => (`I tptp_and, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   817
             | (false, "c_disj") => (`I tptp_or, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   818
             | (false, "c_implies") => (`I tptp_implies, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   819
             | (false, s) =>
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   820
               if is_tptp_equal s then (`I tptp_equal, [])
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   821
               else (proxy_base |>> prefix const_prefix, T_args)
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   822
             | _ => (name, [])
42569
5737947e4c77 make sure that fequal keeps its type arguments for mangled type systems
blanchet
parents: 42568
diff changeset
   823
           else
42574
blanchet
parents: 42573
diff changeset
   824
             (proxy_base |>> prefix const_prefix, T_args)
blanchet
parents: 42573
diff changeset
   825
          | NONE => (name, T_args))
blanchet
parents: 42573
diff changeset
   826
        |> (fn (name, T_args) => CombConst (name, T, T_args))
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   827
      | intro _ tm = tm
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   828
  in intro true end
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   829
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   830
fun combformula_from_prop thy format type_sys eq_as_iff =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   831
  let
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   832
    fun do_term bs t atomic_types =
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   833
      combterm_from_term thy bs (Envir.eta_contract t)
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   834
      |>> (introduce_proxies format type_sys #> AAtom)
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   835
      ||> union (op =) atomic_types
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   836
    fun do_quant bs q s T t' =
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   837
      let val s = Name.variant (map fst bs) s in
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   838
        do_formula ((s, T) :: bs) t'
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   839
        #>> mk_aquant q [(`make_bound_var s, SOME T)]
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   840
      end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   841
    and do_conn bs c t1 t2 =
43198
7a2bc89ac48e whitespace tuning
blanchet
parents: 43194
diff changeset
   842
      do_formula bs t1 ##>> do_formula bs t2 #>> uncurry (mk_aconn c)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   843
    and do_formula bs t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   844
      case t of
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   845
        @{const Trueprop} $ t1 => do_formula bs t1
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   846
      | @{const Not} $ t1 => do_formula bs t1 #>> mk_anot
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   847
      | Const (@{const_name All}, _) $ Abs (s, T, t') =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   848
        do_quant bs AForall s T t'
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   849
      | Const (@{const_name Ex}, _) $ Abs (s, T, t') =>
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   850
        do_quant bs AExists s T t'
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   851
      | @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   852
      | @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38752
diff changeset
   853
      | @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38829
diff changeset
   854
      | Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 =>
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   855
        if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   856
      | _ => do_term bs t
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   857
  in do_formula [] end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   858
42750
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   859
fun presimplify_term ctxt =
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   860
  Skip_Proof.make_thm (Proof_Context.theory_of ctxt)
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   861
  #> Meson.presimplify ctxt
c8b1d9ee3758 ensure Set.member isn't introduced by Meson's preprocessing if it's supposed to be unfolded
blanchet
parents: 42747
diff changeset
   862
  #> prop_of
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   863
41491
a2ad5b824051 eliminated Int.toString;
wenzelm
parents: 41406
diff changeset
   864
fun concealed_bound_name j = sledgehammer_weak_prefix ^ string_of_int j
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   865
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   866
  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
   867
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   868
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   869
  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
   870
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   871
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
   872
fun extensionalize_term ctxt t =
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
   873
  let val thy = Proof_Context.theory_of ctxt in
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
   874
    t |> cterm_of thy |> Meson.extensionalize_conv ctxt
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
   875
      |> prop_of |> Logic.dest_equals |> snd
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
   876
  end
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
   877
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   878
fun introduce_combinators_in_term ctxt kind t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   879
  let val thy = Proof_Context.theory_of ctxt in
38491
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   880
    if Meson.is_fol_term thy t then
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   881
      t
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   882
    else
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   883
      let
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   884
        fun aux Ts t =
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   885
          case t of
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   886
            @{const Not} $ t1 => @{const Not} $ aux Ts t1
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   887
          | (t0 as Const (@{const_name All}, _)) $ Abs (s, T, t') =>
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   888
            t0 $ Abs (s, T, aux (T :: Ts) t')
38652
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   889
          | (t0 as Const (@{const_name All}, _)) $ t1 =>
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   890
            aux Ts (t0 $ eta_expand Ts t1 1)
38491
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   891
          | (t0 as Const (@{const_name Ex}, _)) $ Abs (s, T, t') =>
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   892
            t0 $ Abs (s, T, aux (T :: Ts) t')
38652
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   893
          | (t0 as Const (@{const_name Ex}, _)) $ t1 =>
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   894
            aux Ts (t0 $ eta_expand Ts t1 1)
38795
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   895
          | (t0 as @{const HOL.conj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
848be46708dc formerly unnamed infix conjunction and disjunction now named HOL.conj and HOL.disj
haftmann
parents: 38786
diff changeset
   896
          | (t0 as @{const HOL.disj}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
38786
e46e7a9cb622 formerly unnamed infix impliciation now named HOL.implies
haftmann
parents: 38752
diff changeset
   897
          | (t0 as @{const HOL.implies}) $ t1 $ t2 => t0 $ aux Ts t1 $ aux Ts t2
38864
4abe644fcea5 formerly unnamed infix equality now named HOL.eq
haftmann
parents: 38829
diff changeset
   898
          | (t0 as Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])))
38491
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   899
              $ t1 $ t2 =>
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   900
            t0 $ aux Ts t1 $ aux Ts t2
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   901
          | _ => if not (exists_subterm (fn Abs _ => true | _ => false) t) then
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   902
                   t
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   903
                 else
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   904
                   t |> conceal_bounds Ts
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   905
                     |> Envir.eta_contract
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   906
                     |> cterm_of thy
39890
a1695e2169d0 finished renaming file and module
blanchet
parents: 39886
diff changeset
   907
                     |> Meson_Clausify.introduce_combinators_in_cterm
38491
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   908
                     |> prop_of |> Logic.dest_equals |> snd
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   909
                     |> reveal_bounds Ts
39370
f8292d3020db use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents: 39005
diff changeset
   910
        val (t, ctxt') = Variable.import_terms true [t] ctxt |>> the_single
38491
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   911
      in t |> aux [] |> singleton (Variable.export_terms ctxt' ctxt) end
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   912
      handle THM _ =>
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   913
             (* A type variable of sort "{}" will make abstraction fail. *)
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   914
             if kind = Conjecture then HOLogic.false_const
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   915
             else HOLogic.true_const
38491
f7e51d981a9f invoke Variable.export/import_term on the entire formula, to make sure that schematic variables don't get different indices in different subterms;
blanchet
parents: 38282
diff changeset
   916
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   917
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   918
(* 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
   919
   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
   920
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   921
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   922
    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
   923
      | 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
   924
      | aux (Var ((s, i), T)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   925
        Free (sledgehammer_weak_prefix ^ s ^ "_" ^ string_of_int i, T)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   926
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   927
  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
   928
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   929
fun preprocess_prop ctxt presimp kind t =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   930
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   931
    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
   932
    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
   933
              |> transform_elim_prop
41211
1e2e16bc0077 no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents: 41199
diff changeset
   934
              |> Object_Logic.atomize_term thy
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   935
    val need_trueprop = (fastype_of t = @{typ bool})
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   936
  in
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   937
    t |> need_trueprop ? HOLogic.mk_Trueprop
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   938
      |> Raw_Simplifier.rewrite_term thy (Meson.unfold_set_const_simps ctxt) []
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   939
      |> extensionalize_term ctxt
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   940
      |> presimp ? presimplify_term ctxt
43120
a9c2cdf4ae97 make sure "Trueprop" is removed before combinators are added -- the code is fragile in that respect
blanchet
parents: 43105
diff changeset
   941
      |> perhaps (try (HOLogic.dest_Trueprop))
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   942
      |> introduce_combinators_in_term ctxt kind
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   943
  end
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   944
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   945
(* making fact and conjecture formulas *)
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   946
fun make_formula thy format type_sys eq_as_iff name loc kind t =
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   947
  let
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   948
    val (combformula, atomic_types) =
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   949
      combformula_from_prop thy format type_sys eq_as_iff t []
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   950
  in
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   951
    {name = name, locality = loc, kind = kind, combformula = combformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   952
     atomic_types = atomic_types}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   953
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   954
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   955
fun make_fact ctxt format type_sys keep_trivial eq_as_iff preproc presimp
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   956
              ((name, loc), t) =
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   957
  let val thy = Proof_Context.theory_of ctxt in
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   958
    case (keep_trivial,
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   959
          t |> preproc ? preprocess_prop ctxt presimp Axiom
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   960
            |> make_formula thy format type_sys eq_as_iff name loc Axiom) of
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   961
      (false,
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   962
       formula as {combformula = AAtom (CombConst ((s, _), _, _)), ...}) =>
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   963
      if s = tptp_true then NONE else SOME formula
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   964
    | (_, formula) => SOME formula
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   965
  end
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   966
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   967
fun make_conjecture ctxt format prem_kind type_sys preproc ts =
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   968
  let
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   969
    val thy = Proof_Context.theory_of ctxt
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   970
    val last = length ts - 1
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   971
  in
42709
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   972
    map2 (fn j => fn t =>
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   973
             let
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   974
               val (kind, maybe_negate) =
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   975
                 if j = last then
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   976
                   (Conjecture, I)
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   977
                 else
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   978
                   (prem_kind,
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   979
                    if prem_kind = Conjecture then update_combformula mk_anot
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   980
                    else I)
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   981
              in
43098
e88e974c4846 proper handling of type variable classes in new Metis
blanchet
parents: 43096
diff changeset
   982
                t |> preproc ? (preprocess_prop ctxt true kind #> freeze_term)
43193
e11bd628f1a5 improved ATP clausifier so it can deal with "x => (y <=> z)"
blanchet
parents: 43192
diff changeset
   983
                  |> make_formula thy format type_sys (format <> CNF)
e11bd628f1a5 improved ATP clausifier so it can deal with "x => (y <=> z)"
blanchet
parents: 43192
diff changeset
   984
                                  (string_of_int j) General kind
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   985
                  |> maybe_negate
42709
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   986
              end)
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   987
         (0 upto last) ts
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   988
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   989
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
   990
(** 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
   991
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
   992
fun deep_freeze_atyp (TVar (_, S)) = TFree ("v", S)
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   993
  | deep_freeze_atyp T = T
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   994
val deep_freeze_type = map_atyps deep_freeze_atyp
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
   995
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
   996
(* 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
   997
   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
   998
   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
   999
   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
  1000
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
  1001
fun should_encode_type ctxt (nonmono_Ts as _ :: _) _ T =
208ec29cc013 improved "poly_preds_{bang,query}" by picking up good witnesses for the possible infinity of common type classes and ensuring that "?'a::type" doesn't ruin everything
blanchet
parents: 42885
diff changeset
  1002
    exists (curry (type_instance ctxt) (deep_freeze_type T)) nonmono_Ts
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1003
  | should_encode_type _ _ All_Types _ = true
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
  1004
  | should_encode_type ctxt _ Finite_Types T = is_type_surely_finite ctxt T
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
  1005
  | should_encode_type _ _ _ _ = false
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1006
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
  1007
fun should_predicate_on_type ctxt nonmono_Ts (Preds (_, level, heaviness))
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
  1008
                             should_predicate_on_var T =
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1009
    (heaviness = Heavyweight orelse should_predicate_on_var ()) andalso
42878
85ac4c12a4b7 slightly fewer type predicates introduced in the lightweight encoding, based on the observation that only universal positive equalities are dangerous
blanchet
parents: 42855
diff changeset
  1010
    should_encode_type ctxt nonmono_Ts level T
42834
40f7691d0539 implemented thin versions of "preds" type systems + fixed various issues with type args
blanchet
parents: 42832
diff changeset
  1011
  | should_predicate_on_type _ _ _ _ _ = false
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1012
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1013
fun is_var_or_bound_var (CombConst ((s, _), _, _)) =
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1014
    String.isPrefix bound_var_prefix s
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1015
  | is_var_or_bound_var (CombVar _) = true
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1016
  | is_var_or_bound_var _ = false
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1017
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1018
datatype tag_site = Top_Level | Eq_Arg | Elsewhere
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1019
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1020
fun should_tag_with_type _ _ _ Top_Level _ _ = false
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
  1021
  | should_tag_with_type ctxt nonmono_Ts (Tags (_, level, heaviness)) site u T =
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
  1022
    (case heaviness of
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1023
       Heavyweight => should_encode_type ctxt nonmono_Ts level T
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1024
     | Lightweight =>
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1025
       case (site, is_var_or_bound_var u) of
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1026
         (Eq_Arg, true) => should_encode_type ctxt nonmono_Ts level T
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1027
       | _ => false)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1028
  | should_tag_with_type _ _ _ _ _ _ = false
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1029
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1030
fun homogenized_type ctxt nonmono_Ts level =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1031
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1032
    val should_encode = should_encode_type ctxt nonmono_Ts level
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1033
    fun homo 0 T = if should_encode T then T else homo_infinite_type
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1034
      | homo ary (Type (@{type_name fun}, [T1, T2])) =
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1035
        homo 0 T1 --> homo (ary - 1) T2
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1036
      | homo _ _ = raise Fail "expected function type"
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1037
  in homo end
42682
562046fd8e0c added type homogenization, whereby all (isomorphic) infinite types are mapped to the same type (to reduce the number of different predicates/TFF-types)
blanchet
parents: 42680
diff changeset
  1038
42573
744215c3e90c got rid of one "sym_table" in "prepare_atp_problem" now that proxies are always handled first, and tuned accordingly
blanchet
parents: 42572
diff changeset
  1039
(** "hBOOL" and "hAPP" **)
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
  1040
42574
blanchet
parents: 42573
diff changeset
  1041
type sym_info =
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1042
  {pred_sym : bool, min_ary : int, max_ary : int, types : typ list}
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
  1043
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
  1044
fun add_combterm_syms_to_table ctxt explicit_apply =
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
  1045
  let
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1046
    fun consider_var_arity const_T var_T max_ary =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1047
      let
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1048
        fun iter ary T =
43210
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1049
          if ary = max_ary orelse type_instance ctxt (var_T, T) orelse
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1050
             type_instance ctxt (T, var_T) then
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1051
            ary
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1052
          else
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1053
            iter (ary + 1) (range_type T)
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1054
      in iter 0 const_T end
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1055
    fun add_var_or_bound_var T (accum as ((bool_vars, fun_var_Ts), sym_tab)) =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1056
      if explicit_apply = NONE andalso
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1057
         (can dest_funT T orelse T = @{typ bool}) then
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1058
        let
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1059
          val bool_vars' = bool_vars orelse body_type T = @{typ bool}
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1060
          fun repair_min_arity {pred_sym, min_ary, max_ary, types} =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1061
            {pred_sym = pred_sym andalso not bool_vars',
43213
e1fdd27e0c98 generate less type information in polymorphic case
blanchet
parents: 43210
diff changeset
  1062
             min_ary = fold (fn T' => consider_var_arity T' T) types min_ary,
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1063
             max_ary = max_ary, types = types}
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1064
          val fun_var_Ts' =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1065
            fun_var_Ts |> can dest_funT T ? insert_type ctxt I T
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1066
        in
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1067
          if bool_vars' = bool_vars andalso
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1068
             pointer_eq (fun_var_Ts', fun_var_Ts) then
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1069
            accum
43167
839f599bc7ed ensured that the logic for "explicit_apply = smart" also works on CNF (i.e. new Metis)
blanchet
parents: 43159
diff changeset
  1070
          else
43213
e1fdd27e0c98 generate less type information in polymorphic case
blanchet
parents: 43210
diff changeset
  1071
            ((bool_vars', fun_var_Ts'), Symtab.map (K repair_min_arity) sym_tab)
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1072
        end
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1073
      else
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1074
        accum
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1075
    fun add top_level tm (accum as ((bool_vars, fun_var_Ts), sym_tab)) =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1076
      let val (head, args) = strip_combterm_comb tm in
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
  1077
        (case head of
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
  1078
           CombConst ((s, _), T, _) =>
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
  1079
           if String.isPrefix bound_var_prefix s then
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1080
             add_var_or_bound_var T accum
42558
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
  1081
           else
43139
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1082
             let val ary = length args in
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1083
               ((bool_vars, fun_var_Ts),
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1084
                case Symtab.lookup sym_tab s of
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1085
                  SOME {pred_sym, min_ary, max_ary, types} =>
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1086
                  let
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1087
                    val pred_sym =
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1088
                      pred_sym andalso top_level andalso not bool_vars
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1089
                    val types' = types |> insert_type ctxt I T
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1090
                    val min_ary =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1091
                      if is_some explicit_apply orelse
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1092
                         pointer_eq (types', types) then
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1093
                        min_ary
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1094
                      else
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1095
                        fold (consider_var_arity T) fun_var_Ts min_ary
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1096
                  in
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1097
                    Symtab.update (s, {pred_sym = pred_sym,
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1098
                                       min_ary = Int.min (ary, min_ary),
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1099
                                       max_ary = Int.max (ary, max_ary),
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1100
                                       types = types'})
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1101
                                  sym_tab
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1102
                  end
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1103
                | NONE =>
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1104
                  let
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1105
                    val pred_sym = top_level andalso not bool_vars
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1106
                    val min_ary =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1107
                      case explicit_apply of
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1108
                        SOME true => 0
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1109
                      | SOME false => ary
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1110
                      | NONE => fold (consider_var_arity T) fun_var_Ts ary
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1111
                  in
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1112
                    Symtab.update_new (s, {pred_sym = pred_sym,
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1113
                                           min_ary = min_ary, max_ary = ary,
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1114
                                           types = [T]})
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1115
                                      sym_tab
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1116
                  end)
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1117
             end
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1118
         | CombVar (_, T) => add_var_or_bound_var T accum
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
  1119
         | _ => accum)
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
  1120
        |> fold (add false) args
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
  1121
      end
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
  1122
  in add true end
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1123
fun add_fact_syms_to_table ctxt explicit_apply =
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1124
  fact_lift (formula_fold NONE
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1125
                          (K (add_combterm_syms_to_table ctxt explicit_apply)))
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1126
43139
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1127
val default_sym_tab_entries : (string * sym_info) list =
43174
f497a1e97d37 skip "hBOOL" in new Metis path finder
blanchet
parents: 43167
diff changeset
  1128
  (prefixed_predicator_name,
43139
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1129
   {pred_sym = true, min_ary = 1, max_ary = 1, types = []}) ::
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
  1130
  ([tptp_false, tptp_true]
43139
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1131
   |> map (rpair {pred_sym = true, min_ary = 0, max_ary = 0, types = []})) @
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1132
  ([tptp_equal, tptp_old_equal]
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1133
   |> map (rpair {pred_sym = true, min_ary = 2, max_ary = 2, types = []}))
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
  1134
43064
b6e61d22fa61 made "explicit_apply" smarter -- no need to force explicit applications in minimizer on all constants, better do it more fine granularly
blanchet
parents: 43039
diff changeset
  1135
fun sym_table_for_facts ctxt explicit_apply facts =
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1136
  ((false, []), Symtab.empty)
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1137
  |> fold (add_fact_syms_to_table ctxt explicit_apply) facts |> snd
43139
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1138
  |> fold Symtab.update default_sym_tab_entries
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1139
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
  1140
fun min_arity_of sym_tab s =
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
  1141
  case Symtab.lookup sym_tab s of
42574
blanchet
parents: