src/HOL/Tools/ATP/atp_translate.ML
author blanchet
Wed, 08 Jun 2011 16:20:18 +0200
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child 43295 30aaab778416
permissions -rw-r--r--
made "query" type systes a bit more sound -- local facts, e.g. the negated conjecture, may make invalid the infinity check, e.g. if we are proving that there exists two values of an infinite type, we can use the negated conjecture that there is only one value to derive unsound proofs unless the type is properly encoded
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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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  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 atp_irrelevant_consts : string list
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  val atp_schematic_consts_of : term -> typ list Symtab.table
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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 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 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 -> bool -> term list -> term -> ((string * locality) * term) list
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    -> string problem * string Symtab.table * int * int
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       * (string * locality) list vector * int list * int Symtab.table
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  val atp_problem_weights : string problem -> (string * real) list
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end;
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structure ATP_Translate : ATP_TRANSLATE =
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struct
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open ATP_Util
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open ATP_Problem
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type name = string * string
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(* 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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(* These are either simplified away by "Meson.presimplify" (most of the time) or
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   handled specially via "fFalse", "fTrue", ..., "fequal". *)
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val atp_irrelevant_consts =
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  [@{const_name False}, @{const_name True}, @{const_name Not},
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   @{const_name conj}, @{const_name disj}, @{const_name implies},
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   @{const_name HOL.eq}, @{const_name If}, @{const_name Let}]
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val atp_monomorph_bad_consts =
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  atp_irrelevant_consts @
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  (* These are ignored anyway by the relevance filter (unless they appear in
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     higher-order places) but not by the monomorphizer. *)
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  [@{const_name all}, @{const_name "==>"}, @{const_name "=="},
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   @{const_name Trueprop}, @{const_name All}, @{const_name Ex},
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   @{const_name Ex1}, @{const_name Ball}, @{const_name Bex}]
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fun add_schematic_const (x as (_, T)) =
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  Monomorph.typ_has_tvars T ? Symtab.insert_list (op =) x
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val add_schematic_consts_of =
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  Term.fold_aterms (fn Const (x as (s, _)) =>
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                       not (member (op =) atp_monomorph_bad_consts s)
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                       ? add_schematic_const x
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                      | _ => I)
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fun atp_schematic_consts_of t = add_schematic_consts_of t Symtab.empty
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(** Definitions and functions for FOL clauses and formulas for TPTP **)
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(* The first component is the type class; the second is a "TVar" or "TFree". *)
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datatype type_literal =
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  TyLitVar of name * name |
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  TyLitFree of name * name
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(** Isabelle arities **)
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datatype arity_literal =
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  TConsLit of name * name * name list |
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  TVarLit of name * name
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fun gen_TVars 0 = []
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  | gen_TVars n = ("T_" ^ string_of_int n) :: gen_TVars (n-1)
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val type_class = the_single @{sort type}
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fun add_packed_sort tvar =
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  fold (fn s => s <> type_class ? cons (`make_type_class s, `I tvar))
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type arity_clause =
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  {name: string,
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   prem_lits: arity_literal list,
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   concl_lits: arity_literal}
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(* Arity of type constructor "tcon :: (arg1, ..., argN) res" *)
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fun make_axiom_arity_clause (tcons, name, (cls, args)) =
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  let
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    val tvars = gen_TVars (length args)
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    val tvars_srts = ListPair.zip (tvars, args)
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  in
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    {name = name,
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     prem_lits = [] |> fold (uncurry add_packed_sort) tvars_srts |> map TVarLit,
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     concl_lits = TConsLit (`make_type_class cls,
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                            `make_fixed_type_const tcons,
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                            tvars ~~ tvars)}
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  end
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fun arity_clause _ _ (_, []) = []
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  | arity_clause seen n (tcons, ("HOL.type",_)::ars) =  (*ignore*)
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      arity_clause seen n (tcons,ars)
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  | arity_clause seen n (tcons, (ar as (class,_)) :: ars) =
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      if member (op =) seen class then (*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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   430
(*Generate all pairs (tycon,class,sorts) such that tycon belongs to class in theory thy
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   431
  provided its arguments have the corresponding sorts.*)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   432
fun type_class_pairs thy tycons classes =
43093
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parents: 43092
diff changeset
   433
  let
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parents: 43092
diff changeset
   434
    val alg = Sign.classes_of thy
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parents: 43092
diff changeset
   435
    fun domain_sorts tycon = Sorts.mg_domain alg tycon o single
blanchet
parents: 43092
diff changeset
   436
    fun add_class tycon class =
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parents: 43092
diff changeset
   437
      cons (class, domain_sorts tycon class)
blanchet
parents: 43092
diff changeset
   438
      handle Sorts.CLASS_ERROR _ => I
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parents: 43092
diff changeset
   439
    fun try_classes tycon = (tycon, fold (add_class tycon) classes [])
blanchet
parents: 43092
diff changeset
   440
  in map try_classes tycons end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   441
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   442
(*Proving one (tycon, class) membership may require proving others, so iterate.*)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   443
fun iter_type_class_pairs _ _ [] = ([], [])
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   444
  | iter_type_class_pairs thy tycons classes =
43263
blanchet
parents: 43259
diff changeset
   445
      let
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parents: 43259
diff changeset
   446
        fun maybe_insert_class s =
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parents: 43259
diff changeset
   447
          (s <> type_class andalso not (member (op =) classes s))
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parents: 43259
diff changeset
   448
          ? insert (op =) s
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parents: 43259
diff changeset
   449
        val cpairs = type_class_pairs thy tycons classes
blanchet
parents: 43259
diff changeset
   450
        val newclasses =
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parents: 43259
diff changeset
   451
          [] |> fold (fold (fold (fold maybe_insert_class) o snd) o snd) cpairs
blanchet
parents: 43259
diff changeset
   452
        val (classes', cpairs') = iter_type_class_pairs thy tycons newclasses
43266
3baf384e2b99 minor optimization
blanchet
parents: 43265
diff changeset
   453
      in (classes' @ classes, union (op =) cpairs' cpairs) end
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   454
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   455
fun make_arity_clauses thy tycons =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   456
  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
   457
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   458
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   459
(** Isabelle class relations **)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   460
43086
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parents: 43085
diff changeset
   461
type class_rel_clause =
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parents: 43085
diff changeset
   462
  {name: string,
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parents: 43085
diff changeset
   463
   subclass: name,
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parents: 43085
diff changeset
   464
   superclass: name}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   465
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   466
(*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
   467
fun class_pairs _ [] _ = []
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   468
  | 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
   469
      let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   470
        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
   471
        fun add_super sub super = class_less (sub, super) ? cons (sub, super)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   472
        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
   473
      in fold add_supers subs [] end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   474
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   475
fun make_class_rel_clause (sub,super) =
43086
blanchet
parents: 43085
diff changeset
   476
  {name = sub ^ "_" ^ super,
blanchet
parents: 43085
diff changeset
   477
   subclass = `make_type_class sub,
blanchet
parents: 43085
diff changeset
   478
   superclass = `make_type_class super}
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   479
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   480
fun make_class_rel_clauses thy subs supers =
43093
blanchet
parents: 43092
diff changeset
   481
  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
   482
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   483
datatype combterm =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   484
  CombConst of name * typ * typ list |
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   485
  CombVar of name * typ |
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   486
  CombApp of combterm * combterm
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   487
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   488
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
   489
  | combtyp_of (CombVar (_, T)) = T
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   490
  | 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
   491
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   492
(*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
   493
fun strip_combterm_comb u =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   494
    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
   495
        |   stripc  x =  x
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   496
    in stripc(u,[]) end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   497
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
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parents: 43064
diff changeset
   498
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
   499
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   500
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
   501
  [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
   502
  |> space_implode Long_Name.separator
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   503
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   504
(* 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
   505
   infomation. *)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   506
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
   507
    let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   508
      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
   509
      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
   510
    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
   511
  | combterm_from_term thy _ (Const (c, T)) =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   512
    let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   513
      val tvar_list =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   514
        (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
   515
           [] |> Term.add_tvarsT T |> map TVar
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   516
         else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   517
           (c, T) |> Sign.const_typargs thy)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   518
      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
   519
    in (c', atyps_of T) end
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   520
  | combterm_from_term _ _ (Free (v, T)) =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   521
    (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
   522
  | 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
   523
    (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
   524
       let
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   525
         val Ts = T |> strip_type |> swap |> op ::
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   526
         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
   527
       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
   528
     else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   529
       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
   530
  | combterm_from_term _ bs (Bound j) =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   531
    nth bs j
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   532
    |> (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
   533
  | 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
   534
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   535
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
   536
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   537
(* (quasi-)underapproximation of the truth *)
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   538
fun is_locality_global Local = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   539
  | is_locality_global Assum = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   540
  | is_locality_global Chained = false
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   541
  | is_locality_global _ = true
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   542
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
   543
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
   544
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
   545
  All_Types | Nonmonotonic_Types | Finite_Types | Const_Arg_Types | No_Types
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   546
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
   547
43102
9a42899ec169 tuned name
blanchet
parents: 43101
diff changeset
   548
datatype type_sys =
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   549
  Simple_Types of type_level |
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   550
  Preds of polymorphism * type_level * type_heaviness |
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   551
  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
   552
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   553
fun try_unsuffixes ss s =
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   554
  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
   555
42613
23b13b1bd565 use strings to encode type systems in ATP module, to reduce the amount of out-of-place information and also to make it easier to print the type system used
blanchet
parents: 42612
diff changeset
   556
fun type_sys_from_string s =
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   557
  (case try (unprefix "poly_") s of
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   558
     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
   559
   | 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
   560
     case try (unprefix "mono_") s of
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   561
       SOME s => (SOME Monomorphic, s)
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   562
     | NONE =>
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   563
       case try (unprefix "mangled_") s of
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   564
         SOME s => (SOME Mangled_Monomorphic, s)
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   565
       | 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
   566
  ||> (fn s =>
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   567
          (* "_query" and "_bang" are for the ASCII-challenged Mirabelle. *)
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   568
          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
   569
            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
   570
          | NONE =>
42689
e38590764c34 versions of ! and ? for the ASCII-challenged Mirabelle
blanchet
parents: 42688
diff changeset
   571
            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
   572
              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
   573
            | NONE => (All_Types, s))
42828
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   574
  ||> apsnd (fn s =>
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   575
                case try (unsuffix "_heavy") s of
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   576
                  SOME s => (Heavyweight, s)
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   577
                | NONE => (Lightweight, s))
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   578
  |> (fn (poly, (level, (heaviness, core))) =>
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   579
         case (core, (poly, level, heaviness)) of
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   580
           ("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
   581
         | ("preds", (SOME poly, _, _)) => Preds (poly, level, heaviness)
42851
3bb63850488b removed "poly_tags_light_bang" since highly unsound
blanchet
parents: 42837
diff changeset
   582
         | ("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
   583
           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
   584
         | ("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
   585
           (* The actual light encoding is very unsound. *)
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   586
           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
   587
         | ("tags", (SOME poly, _, _)) => Tags (poly, level, heaviness)
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   588
         | ("args", (SOME poly, All_Types (* naja *), Lightweight)) =>
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   589
           Preds (poly, Const_Arg_Types, Lightweight)
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   590
         | ("erased", (NONE, All_Types (* naja *), Lightweight)) =>
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   591
           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
   592
         | _ => 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
   593
  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
   594
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   595
fun polymorphism_of_type_sys (Simple_Types _) = Mangled_Monomorphic
42828
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   596
  | polymorphism_of_type_sys (Preds (poly, _, _)) = poly
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   597
  | 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
   598
42722
626e292d22a7 renamed type systems for more consistency
blanchet
parents: 42709
diff changeset
   599
fun level_of_type_sys (Simple_Types level) = level
42828
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   600
  | level_of_type_sys (Preds (_, level, _)) = level
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   601
  | level_of_type_sys (Tags (_, level, _)) = level
8794ec73ec13 added syntax for "shallow" encodings
blanchet
parents: 42781
diff changeset
   602
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   603
fun heaviness_of_type_sys (Simple_Types _) = Heavyweight
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   604
  | heaviness_of_type_sys (Preds (_, _, heaviness)) = heaviness
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
   605
  | heaviness_of_type_sys (Tags (_, _, heaviness)) = heaviness
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   606
42687
blanchet
parents: 42685
diff changeset
   607
fun is_type_level_virtually_sound level =
blanchet
parents: 42685
diff changeset
   608
  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
   609
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
   610
  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
   611
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
   612
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
   613
  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
   614
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
   615
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   616
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
   617
  | 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
   618
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   619
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
   620
    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
   621
    else if member (op =) formats TFF then (TFF, Simple_Types level)
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   622
    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
   623
  | choose_format formats type_sys =
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   624
    (case hd formats of
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   625
       CNF_UEQ =>
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   626
       (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
   627
                   Preds stuff =>
43289
0f2bbcfaf208 fixed format selection logic for Waldmeister
blanchet
parents: 43266
diff changeset
   628
                   (if is_type_sys_fairly_sound type_sys then Tags else Preds)
43101
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   629
                       stuff
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   630
                 | _ => type_sys)
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   631
     | format => (format, type_sys))
1d46d85cd78b make "prepare_atp_problem" more robust w.r.t. choice of type system
blanchet
parents: 43098
diff changeset
   632
40114
blanchet
parents: 40069
diff changeset
   633
type translated_formula =
38752
6628adcae4a7 consider "locality" when assigning weights to facts
blanchet
parents: 38748
diff changeset
   634
  {name: string,
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   635
   locality: locality,
42525
7a506b0b644f distinguish FOF and TFF (typed first-order) in ATP abstract syntax tree
blanchet
parents: 42524
diff changeset
   636
   kind: formula_kind,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   637
   combformula: (name, typ, combterm) formula,
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   638
   atomic_types: typ list}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   639
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   640
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
   641
                          : translated_formula) =
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   642
  {name = name, locality = locality, kind = kind, combformula = f combformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   643
   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
   644
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
   645
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
   646
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
   647
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
   648
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
   649
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
   650
  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
   651
    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
   652
    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
   653
  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
   654
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
   655
(* 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
   656
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
   657
  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
   658
  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
   659
  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
   660
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   661
fun should_drop_arg_type_args (Simple_Types _) =
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   662
    false (* since TFF doesn't support overloading *)
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   663
  | should_drop_arg_type_args type_sys =
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
   664
    level_of_type_sys type_sys = All_Types andalso
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   665
    heaviness_of_type_sys type_sys = Heavyweight
42831
c9b0968484fb more work on "shallow" encoding + adjustments to other encodings
blanchet
parents: 42830
diff changeset
   666
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
   667
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
   668
  | general_type_arg_policy type_sys =
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   669
    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
   670
      No_Type_Args
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   671
    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
   672
      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
   673
    else
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   674
      Explicit_Type_Args (should_drop_arg_type_args type_sys)
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   675
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
   676
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
   677
  if s = @{const_name HOL.eq} orelse
42966
4e2d6c1e5392 more work on parsing LEO-II proofs without lambdas
blanchet
parents: 42963
diff changeset
   678
     (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
   679
    No_Type_Args
43105
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   680
  else if s = type_tag_name then
bb0ceef7d39f no need for type arguments with "xxx_tags_heavy" type system
blanchet
parents: 43104
diff changeset
   681
    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
   682
  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
   683
    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
   684
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   685
(*Make literals for sorted type variables*)
43263
blanchet
parents: 43259
diff changeset
   686
fun generic_add_sorts_on_type (_, []) = I
blanchet
parents: 43259
diff changeset
   687
  | generic_add_sorts_on_type ((x, i), s :: ss) =
blanchet
parents: 43259
diff changeset
   688
    generic_add_sorts_on_type ((x, i), ss)
blanchet
parents: 43259
diff changeset
   689
    #> (if s = the_single @{sort HOL.type} then
43093
blanchet
parents: 43092
diff changeset
   690
          I
blanchet
parents: 43092
diff changeset
   691
        else if i = ~1 then
43263
blanchet
parents: 43259
diff changeset
   692
          insert (op =) (TyLitFree (`make_type_class s, `make_fixed_type_var x))
43093
blanchet
parents: 43092
diff changeset
   693
        else
43263
blanchet
parents: 43259
diff changeset
   694
          insert (op =) (TyLitVar (`make_type_class s,
blanchet
parents: 43259
diff changeset
   695
                                   (make_schematic_type_var (x, i), x))))
blanchet
parents: 43259
diff changeset
   696
fun add_sorts_on_tfree (TFree (s, S)) = generic_add_sorts_on_type ((s, ~1), S)
blanchet
parents: 43259
diff changeset
   697
  | add_sorts_on_tfree _ = I
blanchet
parents: 43259
diff changeset
   698
fun add_sorts_on_tvar (TVar z) = generic_add_sorts_on_type z
blanchet
parents: 43259
diff changeset
   699
  | add_sorts_on_tvar _ = I
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   700
43263
blanchet
parents: 43259
diff changeset
   701
fun type_literals_for_types type_sys add_sorts_on_typ Ts =
blanchet
parents: 43259
diff changeset
   702
  [] |> level_of_type_sys type_sys <> No_Types ? fold add_sorts_on_typ Ts
41137
8b634031b2a5 implemented "no_types" encoding, which is too unsound to be useful but can come in handy for evaluations
blanchet
parents: 41136
diff changeset
   703
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
   704
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
   705
  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
   706
    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
   707
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   708
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
   709
  | 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
   710
fun mk_aquant _ [] phi = phi
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   711
  | 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
   712
    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
   713
  | 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
   714
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   715
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
   716
  let
a5ee3b8e5a90 improve partially tagged encoding by adding a helper fact that coalesces consecutive "ti" tags
blanchet
parents: 41140
diff changeset
   717
    fun formula_vars bounds (AQuant (_, xs, phi)) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   718
        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
   719
      | 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
   720
      | formula_vars bounds (AAtom tm) =
42526
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   721
        union (op =) (atom_vars tm []
46d485f8d144 added room for types in ATP quantifiers
blanchet
parents: 42525
diff changeset
   722
                      |> 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
   723
  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
   724
42531
a462dbaa584f added more rudimentary type support to Sledgehammer's ATP encoding
blanchet
parents: 42530
diff changeset
   725
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
   726
  | combterm_vars (CombConst _) = I
42574
blanchet
parents: 42573
diff changeset
   727
  | combterm_vars (CombVar (name, T)) = insert (op =) (name, SOME T)
42674
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   728
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
   729
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
   730
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
   731
  is_tptp_variable s ? insert (op =) (name, NONE) #> fold term_vars tms
42674
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   732
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
   733
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   734
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
   735
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
   736
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
   737
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
   738
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   739
    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
   740
      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
   741
               (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
   742
             | (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
   743
             | _ => 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
   744
                       (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
   745
                      `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
   746
                    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
   747
                      `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
   748
             map term Ts)
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   749
    | 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
   750
    | 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
   751
      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
   752
  in term end
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   753
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   754
(* 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
   755
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
   756
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   757
fun generic_mangled_type_name f (ATerm (name, [])) = f name
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   758
  | 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
   759
    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
   760
    ^ ")"
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
   761
42998
1c80902d0456 fully support all type system encodings in typed formats (TFF, THF)
blanchet
parents: 42994
diff changeset
   762
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
   763
43085
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   764
fun make_simple_type s =
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   765
  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
   766
     s = tptp_individual_type then
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   767
    s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   768
  else
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   769
    simple_type_prefix ^ ascii_of s
0a2f5b86bdd7 first step in sharing more code between ATP and Metis translation
blanchet
parents: 43064
diff changeset
   770
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
   771
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
   772
  let
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   773
    fun to_atype ty =
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   774
      AType ((make_simple_type (generic_mangled_type_name fst ty),
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   775
              generic_mangled_type_name snd ty))
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   776
    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
   777
    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
   778
      | 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
   779
    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
   780
      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
   781
  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
   782
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
   783
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
   784
  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
   785
  o fo_term_from_typ format type_sys
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   786
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
   787
fun mangled_const_name format type_sys T_args (s, s') =
42963
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   788
  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
   789
    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
   790
    fun type_suffix f g =
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   791
      fold_rev (curry (op ^) o g o prefix mangled_type_sep
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   792
                o generic_mangled_type_name f) ty_args ""
5725deb11ae7 identify HOL functions with THF functions
blanchet
parents: 42962
diff changeset
   793
  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
   794
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
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
   796
  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
   797
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   798
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
   799
  (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
   800
   -- 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
   801
                    [] >> 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
   802
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
   803
  (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
   804
024920b65ce2 perform constant mangling and/or removal of its type args in an earlier phase, so that the rest of the code doesn't need to worry about it
blanchet
parents: 42541
diff changeset
   805
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
   806
  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
   807
    |> 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
   808
           (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
   809
                                                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
   810
    |> 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
   811
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   812
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
   813
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
   814
  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
   815
    (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
   816
  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
   817
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   818
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
   819
  let
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   820
    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
   821
        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
   822
      | 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
   823
        (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
   824
           SOME proxy_base =>
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   825
           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
   826
             case (top_level, s) of
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   827
               (_, "c_False") => (`I tptp_false, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   828
             | (_, "c_True") => (`I tptp_true, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   829
             | (false, "c_Not") => (`I tptp_not, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   830
             | (false, "c_conj") => (`I tptp_and, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   831
             | (false, "c_disj") => (`I tptp_or, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   832
             | (false, "c_implies") => (`I tptp_implies, [])
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   833
             | (false, s) =>
43017
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   834
               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
   835
               else (proxy_base |>> prefix const_prefix, T_args)
43000
bd424c3dde46 cleaner handling of equality and proxies (esp. for THF)
blanchet
parents: 42998
diff changeset
   836
             | _ => (name, [])
42569
5737947e4c77 make sure that fequal keeps its type arguments for mangled type systems
blanchet
parents: 42568
diff changeset
   837
           else
42574
blanchet
parents: 42573
diff changeset
   838
             (proxy_base |>> prefix const_prefix, T_args)
blanchet
parents: 42573
diff changeset
   839
          | NONE => (name, T_args))
blanchet
parents: 42573
diff changeset
   840
        |> (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
   841
      | intro _ tm = tm
944b19ab6003 removed THF equality proxy hack now that Geoff Sutcliffe has fixed SystemOnTPTP
blanchet
parents: 43001
diff changeset
   842
  in intro true end
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   843
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   844
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
   845
  let
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   846
    fun do_term bs t atomic_types =
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   847
      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
   848
      |>> (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
   849
      ||> union (op =) atomic_types
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   850
    fun do_quant bs q s T t' =
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   851
      let val s = Name.variant (map fst bs) s in
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   852
        do_formula ((s, T) :: bs) t'
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   853
        #>> mk_aquant q [(`make_bound_var s, SOME T)]
38518
54727b44e277 handle bound name conflicts gracefully in FOF translation
blanchet
parents: 38496
diff changeset
   854
      end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   855
    and do_conn bs c t1 t2 =
43198
7a2bc89ac48e whitespace tuning
blanchet
parents: 43194
diff changeset
   856
      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
   857
    and do_formula bs t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   858
      case t of
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   859
        @{const Trueprop} $ t1 => do_formula bs t1
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   860
      | @{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
   861
      | 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
   862
        do_quant bs AForall s T t'
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   863
      | 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
   864
        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
   865
      | @{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
   866
      | @{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
   867
      | @{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
   868
      | 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
   869
        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
   870
      | _ => do_term bs t
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   871
  in do_formula [] end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   872
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   873
fun presimplify_term _ [] t = t
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   874
  | presimplify_term ctxt presimp_consts t =
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   875
    t |> exists_Const (member (op =) presimp_consts o fst) t
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   876
         ? (Skip_Proof.make_thm (Proof_Context.theory_of ctxt)
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   877
            #> Meson.presimplify ctxt
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   878
            #> prop_of)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   879
41491
a2ad5b824051 eliminated Int.toString;
wenzelm
parents: 41406
diff changeset
   880
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
   881
fun conceal_bounds Ts t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   882
  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
   883
                    (0 upto length Ts - 1 ~~ Ts), t)
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   884
fun reveal_bounds Ts =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   885
  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
   886
                    (0 upto length Ts - 1 ~~ Ts))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   887
43265
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   888
fun is_fun_equality (@{const_name HOL.eq},
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   889
                     Type (_, [Type (@{type_name fun}, _), _])) = true
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   890
  | is_fun_equality _ = false
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   891
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
   892
fun extensionalize_term ctxt t =
43265
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   893
  if exists_Const is_fun_equality t then
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   894
    let val thy = Proof_Context.theory_of ctxt in
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   895
      t |> cterm_of thy |> Meson.extensionalize_conv ctxt
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   896
        |> prop_of |> Logic.dest_equals |> snd
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   897
    end
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   898
  else
096237fe70f1 don't needlessly extensionalize
blanchet
parents: 43264
diff changeset
   899
    t
38608
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   900
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   901
fun introduce_combinators_in_term ctxt kind t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   902
  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
   903
    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
   904
      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
   905
    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
   906
      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
   907
        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
   908
          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
   909
            @{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
   910
          | (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
   911
            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
   912
          | (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
   913
            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
   914
          | (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
   915
            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
   916
          | (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
   917
            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
   918
          | (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
   919
          | (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
   920
          | (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
   921
          | (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
   922
              $ 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
   923
            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
   924
          | _ => 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
   925
                   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
   926
                 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
   927
                   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
   928
                     |> 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
   929
                     |> cterm_of thy
39890
a1695e2169d0 finished renaming file and module
blanchet
parents: 39886
diff changeset
   930
                     |> 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
   931
                     |> 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
   932
                     |> reveal_bounds Ts
39370
f8292d3020db use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents: 39005
diff changeset
   933
        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
   934
      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
   935
      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
   936
             (* 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
   937
             if kind = Conjecture then HOLogic.false_const
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   938
             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
   939
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   940
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   941
(* 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
   942
   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
   943
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   944
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   945
    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
   946
      | 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
   947
      | aux (Var ((s, i), T)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   948
        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
   949
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   950
  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
   951
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   952
fun preprocess_prop ctxt presimp_consts kind t =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   953
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   954
    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
   955
    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
   956
              |> transform_elim_prop
41211
1e2e16bc0077 no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents: 41199
diff changeset
   957
              |> Object_Logic.atomize_term thy
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   958
    val need_trueprop = (fastype_of t = @{typ bool})
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   959
  in
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   960
    t |> need_trueprop ? HOLogic.mk_Trueprop
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   961
      |> Raw_Simplifier.rewrite_term thy (Meson.unfold_set_const_simps ctxt) []
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   962
      |> extensionalize_term ctxt
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   963
      |> presimplify_term ctxt presimp_consts
43120
a9c2cdf4ae97 make sure "Trueprop" is removed before combinators are added -- the code is fragile in that respect
blanchet
parents: 43105
diff changeset
   964
      |> perhaps (try (HOLogic.dest_Trueprop))
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   965
      |> introduce_combinators_in_term ctxt kind
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   966
  end
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   967
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   968
(* making fact and conjecture formulas *)
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   969
fun make_formula thy format type_sys eq_as_iff name loc kind t =
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   970
  let
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
   971
    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
   972
      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
   973
  in
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   974
    {name = name, locality = loc, kind = kind, combformula = combformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   975
     atomic_types = atomic_types}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   976
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   977
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   978
fun make_fact ctxt format type_sys keep_trivial eq_as_iff preproc presimp_consts
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
   979
              ((name, loc), t) =
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   980
  let val thy = Proof_Context.theory_of ctxt in
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   981
    case (keep_trivial,
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   982
          t |> preproc ? preprocess_prop ctxt presimp_consts Axiom
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   983
            |> make_formula thy format type_sys eq_as_iff name loc Axiom) of
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   984
      (false,
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   985
       formula as {combformula = AAtom (CombConst ((s, _), _, _)), ...}) =>
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   986
      if s = tptp_true then NONE else SOME formula
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   987
    | (_, formula) => SOME formula
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   988
  end
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   989
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
   990
fun make_conjecture ctxt format prem_kind type_sys preproc presimp_consts ts =
43096
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   991
  let
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   992
    val thy = Proof_Context.theory_of ctxt
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   993
    val last = length ts - 1
f181d66046d4 don't preprocess twice
blanchet
parents: 43093
diff changeset
   994
  in
42709
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   995
    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
   996
             let
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
   997
               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
   998
                 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
   999
                   (Conjecture, I)
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
  1000
                 else
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
  1001
                   (prem_kind,
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
  1002
                    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
  1003
                    else I)
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
  1004
              in
43264
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1005
                t |> preproc ?
a1a48c69d623 don't needlessly presimplify -- makes ATP problem preparation much faster
blanchet
parents: 43263
diff changeset
  1006
                     (preprocess_prop ctxt presimp_consts kind #> freeze_term)
43193
e11bd628f1a5 improved ATP clausifier so it can deal with "x => (y <=> z)"
blanchet
parents: 43192
diff changeset
  1007
                  |> make_formula thy format type_sys (format <> CNF)
43293
a80cdc4b27a3 made "query" type systes a bit more sound -- local facts, e.g. the negated conjecture, may make invalid the infinity check, e.g. if we are proving that there exists two values of an infinite type, we can use the negated conjecture that there is only one value to derive unsound proofs unless the type is properly encoded
blanchet
parents: 43289
diff changeset
  1008
                                  (string_of_int j) Local kind
42962
3b50fdeb6cfc started adding support for THF output (but no lambdas)
blanchet
parents: 42956
diff changeset
  1009
                  |> maybe_negate
42709
e7af132d48fe allow each prover to specify its own formula kind for symbols occurring in the conjecture
blanchet
parents: 42701
diff changeset
  1010
              end)
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
  1011
         (0 upto last) ts
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
  1012
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1013
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
  1014
(** 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
  1015
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
  1016
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
  1017
  | 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
  1018
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
  1019
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
  1020
(* 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
  1021
   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
  1022
   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
  1023
   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
  1024
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
  1025
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
  1026
    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
  1027
  | 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
  1028
  | 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
  1029
  | 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
  1030
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
  1031
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
  1032
                             should_predicate_on_var T =
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1033
    (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
  1034
    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
  1035
  | 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
  1036
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1037
fun is_var_or_bound_var (CombConst ((s, _), _, _)) =
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1038
    String.isPrefix bound_var_prefix s
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1039
  | is_var_or_bound_var (CombVar _) = true
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1040
  | is_var_or_bound_var _ = false
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1041
42829
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1042
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
  1043
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1044
fun should_tag_with_type _ _ _ Top_Level _ _ = false
42837
358769224d94 renamed thin to light, fat to heavy
blanchet
parents: 42836
diff changeset
  1045
  | 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
  1046
    (case heaviness of
43128
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1047
       Heavyweight => should_encode_type ctxt nonmono_Ts level T
a19826080596 tuned names
blanchet
parents: 43125
diff changeset
  1048
     | Lightweight =>
42836
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1049
       case (site, is_var_or_bound_var u) of
9adf6b3965b3 code cleanup, better handling of corner cases
blanchet
parents: 42834
diff changeset
  1050
         (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
  1051
       | _ => false)
1558741f8a72 started implementing "shallow" type systems, based on ideas by Claessen et al.
blanchet
parents: 42828
diff changeset
  1052
  | 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
  1053
42994
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1054
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
  1055
  let
fe291ab75eb5 towards supporting non-simply-typed encodings for TFF and THF (for orthogonality and experiments)
blanchet
parents: 42966
diff changeset
  1056
    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
  1057
    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
  1058
      | 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
  1059
        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
  1060
      | 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
  1061
  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
  1062
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
  1063
(** "hBOOL" and "hAPP" **)
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
  1064
42574
blanchet
parents: 42573
diff changeset
  1065
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
  1066
  {pred_sym : bool, min_ary : int, max_ary : int, types : typ list}
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
  1067
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
  1068
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
  1069
  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
  1070
    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
  1071
      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
  1072
        fun iter ary T =
43210
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1073
          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
  1074
             type_instance ctxt (T, var_T) then
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1075
            ary
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1076
          else
7384b771805d made "explicit_apply"'s smart mode (more) complete
blanchet
parents: 43207
diff changeset
  1077
            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
  1078
      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
  1079
    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
  1080
      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
  1081
         (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
  1082
        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
  1083
          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
  1084
          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
  1085
            {pred_sym = pred_sym andalso not bool_vars',
43213
e1fdd27e0c98 generate less type information in polymorphic case
blanchet
parents: 43210
diff changeset
  1086
             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
  1087
             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
  1088
          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
  1089
            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
  1090
        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
  1091
          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
  1092
             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
  1093
            accum
43167
839f599bc7ed ensured that the logic for "explicit_apply = smart" also works on CNF (i.e. new Metis)
blanchet
parents: 43159
diff changeset
  1094
          else
43213
e1fdd27e0c98 generate less type information in polymorphic case
blanchet
parents: 43210
diff changeset
  1095
            ((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
  1096
        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
  1097
      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
  1098
        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
  1099
    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
  1100
      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
  1101
        (case head of
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
  1102
           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
  1103
           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
  1104
             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
  1105
           else
43139
9ed5d8ad8fa0 fixed debilitating translation bug introduced in b6e61d22fa61 -- "equal" and "=" should always have arity 2
blanchet
parents: 43136
diff changeset
  1106
             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
  1107
               ((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
  1108
                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
  1109
                  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
  1110
                  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
  1111
                    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
  1112
                      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
  1113
                    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
  1114
                    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
  1115
                      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
  1116
                         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
  1117
                        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
  1118
                      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
  1119
                        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
  1120
                  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
  1121
                    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
  1122
                                       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
  1123
                                       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
  1124
                                       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
  1125
                                  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
  1126
                  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
  1127
                | 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
  1128
                  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
  1129
                    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
  1130
                    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
  1131
                      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
  1132
                        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
  1133
                      | 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
  1134
                      | 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
  1135
                  in
43201
0c9bf1a8e0d8 make "smart" mode of "explicit_apply" smarter, by also detecting the other kind of higher-order quantification, namely "bool"s
blanchet
parents: 43198
diff changeset
  1136
                    Symtab.update_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
  1137
                                           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
  1138
                                           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
  1139
                                      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
  1140
                  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
  1141
             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
  1142
         | 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
  1143
         | _ => 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
  1144
        |> 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
  1145
      end
43064