src/HOL/Tools/Sledgehammer/sledgehammer_atp_translate.ML
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permissions -rw-r--r--
exploit inferred monotonicity
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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 SLEDGEHAMMER_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 'a problem = 'a ATP_Problem.problem
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  type locality = Sledgehammer_Filter.locality
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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_system =
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    Many_Typed |
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    Preds of polymorphism * type_level |
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    Tags of polymorphism * type_level
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  type translated_formula
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  val readable_names : bool Config.T
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  val fact_prefix : string
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  val conjecture_prefix : string
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  val predicator_base : string
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  val explicit_app_base : string
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  val type_pred_base : string
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  val tff_type_prefix : string
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  val type_sys_from_string : string -> type_system
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  val polymorphism_of_type_sys : type_system -> polymorphism
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  val level_of_type_sys : type_system -> type_level
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  val is_type_sys_virtually_sound : type_system -> bool
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  val is_type_sys_fairly_sound : type_system -> bool
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  val num_atp_type_args : theory -> type_system -> string -> int
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  val unmangled_const : string -> string * string fo_term list
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  val translate_atp_fact :
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    Proof.context -> bool -> (string * locality) * thm
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    -> translated_formula option * ((string * locality) * thm)
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  val prepare_atp_problem :
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    Proof.context -> type_system -> bool -> term list -> term
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    -> (translated_formula option * ((string * 'a) * thm)) list
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    -> string problem * string Symtab.table * int * int
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       * (string * 'a) list vector
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  val atp_problem_weights : string problem -> (string * real) list
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end;
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structure Sledgehammer_ATP_Translate : SLEDGEHAMMER_ATP_TRANSLATE =
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struct
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open ATP_Problem
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open Metis_Translate
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open Sledgehammer_Util
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open Sledgehammer_Filter
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(* experimental *)
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val generate_useful_info = false
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(* Readable names are often much shorter, especially if types are mangled in
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   names. Also, the logic for generating legal SNARK sort names is only
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   implemented for readable names. Finally, readable names are, well, more
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   readable. For these reason, they are enabled by default. *)
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val readable_names =
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  Attrib.setup_config_bool @{binding sledgehammer_atp_readable_names} (K true)
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val type_decl_prefix = "type_"
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val sym_decl_prefix = "sym_"
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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 = "crel_";
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val arity_clause_prefix = "arity_"
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val tfree_prefix = "tfree_"
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val predicator_base = "hBOOL"
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val explicit_app_base = "hAPP"
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val type_pred_base = "is"
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val tff_type_prefix = "ty_"
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fun make_tff_type s = tff_type_prefix ^ ascii_of s
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(* official TPTP syntax *)
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val tptp_tff_type_of_types = "$tType"
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val tptp_tff_bool_type = "$o"
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val tptp_false = "$false"
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val tptp_true = "$true"
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(* Freshness almost guaranteed! *)
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val sledgehammer_weak_prefix = "Sledgehammer:"
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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_system =
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  Many_Typed |
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  Preds of polymorphism * type_level |
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  Tags of polymorphism * type_level
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fun type_sys_from_string s =
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  (case try (unprefix "mangled_") s of
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     SOME s => (Mangled_Monomorphic, s)
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   | NONE =>
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     case try (unprefix "mono_") s of
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       SOME s => (Monomorphic, s)
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     | NONE => (Polymorphic, s))
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  ||> (fn s =>
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          case try (unsuffix " ?") s of
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            SOME s => (Nonmonotonic_Types, s)
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          | NONE =>
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            case try (unsuffix " !") s of
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              SOME s => (Finite_Types, s)
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            | NONE => (All_Types, s))
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  |> (fn (polymorphism, (level, core)) =>
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         case (core, (polymorphism, level)) of
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           ("many_typed", (Polymorphic (* naja *), All_Types)) =>
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           Many_Typed
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         | ("preds", extra) => Preds extra
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         | ("tags", extra) => Tags extra
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         | ("const_args", (_, All_Types (* naja *))) =>
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           Preds (polymorphism, Const_Arg_Types)
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         | ("erased", (Polymorphic, All_Types (* naja *))) =>
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           Preds (polymorphism, No_Types)
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         | _ => error ("Unknown type system: " ^ quote s ^ "."))
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fun polymorphism_of_type_sys Many_Typed = Mangled_Monomorphic
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  | polymorphism_of_type_sys (Preds (poly, _)) = poly
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  | polymorphism_of_type_sys (Tags (poly, _)) = poly
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fun level_of_type_sys Many_Typed = All_Types
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  | level_of_type_sys (Preds (_, level)) = level
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  | level_of_type_sys (Tags (_, level)) = level
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fun is_type_level_virtually_sound s =
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  s = All_Types orelse s = Nonmonotonic_Types
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val is_type_sys_virtually_sound =
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  is_type_level_virtually_sound o level_of_type_sys
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fun is_type_level_fairly_sound level =
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  is_type_level_virtually_sound level orelse level = Finite_Types
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val is_type_sys_fairly_sound = is_type_level_fairly_sound o level_of_type_sys
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fun formula_map f (AQuant (q, xs, phi)) = AQuant (q, xs, formula_map f phi)
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  | formula_map f (AConn (c, phis)) = AConn (c, map (formula_map f) phis)
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  | formula_map f (AAtom tm) = AAtom (f tm)
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fun formula_fold pos f =
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  let
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    fun aux pos (AQuant (_, _, phi)) = aux pos phi
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      | aux pos (AConn (ANot, [phi])) = aux (Option.map not pos) phi
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      | aux pos (AConn (AImplies, [phi1, phi2])) =
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        aux (Option.map not pos) phi1 #> aux pos phi2
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      | aux pos (AConn (AAnd, phis)) = fold (aux pos) phis
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      | aux pos (AConn (AOr, phis)) = fold (aux pos) phis
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      | aux _ (AConn (_, phis)) = fold (aux NONE) phis
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      | aux pos (AAtom tm) = f pos tm
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  in aux (SOME pos) end
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type translated_formula =
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  {name: string,
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   locality: locality,
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   kind: formula_kind,
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   combformula: (name, typ, combterm) formula,
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   atomic_types: typ list}
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fun update_combformula f ({name, locality, kind, combformula, atomic_types}
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                          : translated_formula) =
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  {name = name, locality = locality, kind = kind, combformula = f combformula,
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   atomic_types = atomic_types} : translated_formula
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fun fact_lift f ({combformula, ...} : translated_formula) = f combformula
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val boring_consts = [explicit_app_base, @{const_name Metis.fequal}]
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fun should_omit_type_args type_sys s =
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  s <> type_pred_base andalso s <> type_tag_name andalso
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  (s = @{const_name HOL.eq} orelse level_of_type_sys type_sys = No_Types orelse
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   (case type_sys of
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      Tags (_, All_Types) => true
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    | _ => polymorphism_of_type_sys type_sys <> Mangled_Monomorphic andalso
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           member (op =) boring_consts s))
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datatype type_arg_policy = No_Type_Args | Explicit_Type_Args | Mangled_Type_Args
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fun general_type_arg_policy type_sys =
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  if level_of_type_sys type_sys = No_Types then
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    No_Type_Args
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  else if polymorphism_of_type_sys type_sys = Mangled_Monomorphic then
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    Mangled_Type_Args
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  else
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    Explicit_Type_Args
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fun type_arg_policy type_sys s =
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  if should_omit_type_args type_sys s then No_Type_Args
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  else general_type_arg_policy type_sys
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fun num_atp_type_args thy type_sys s =
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  if type_arg_policy type_sys s = Explicit_Type_Args then num_type_args thy s
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  else 0
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fun atp_type_literals_for_types type_sys kind Ts =
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  if level_of_type_sys type_sys = No_Types then
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    []
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  else
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    Ts |> type_literals_for_types
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       |> filter (fn TyLitVar _ => kind <> Conjecture
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                   | TyLitFree _ => kind = Conjecture)
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fun mk_aconn c phi1 phi2 = AConn (c, [phi1, phi2])
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fun mk_aconns c phis =
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  let val (phis', phi') = split_last phis in
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    fold_rev (mk_aconn c) phis' phi'
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  end
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fun mk_ahorn [] phi = phi
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  | mk_ahorn phis psi = AConn (AImplies, [mk_aconns AAnd phis, psi])
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fun mk_aquant _ [] phi = phi
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  | mk_aquant q xs (phi as AQuant (q', xs', phi')) =
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    if q = q' then AQuant (q, xs @ xs', phi') else AQuant (q, xs, phi)
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  | mk_aquant q xs phi = AQuant (q, xs, phi)
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fun close_universally atom_vars phi =
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  let
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    fun formula_vars bounds (AQuant (_, xs, phi)) =
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        formula_vars (map fst xs @ bounds) phi
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      | formula_vars bounds (AConn (_, phis)) = fold (formula_vars bounds) phis
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      | formula_vars bounds (AAtom tm) =
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        union (op =) (atom_vars tm []
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                      |> filter_out (member (op =) bounds o fst))
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  in mk_aquant AForall (formula_vars [] phi []) phi end
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fun combterm_vars (CombApp (tm1, tm2)) = fold combterm_vars [tm1, tm2]
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  | combterm_vars (CombConst _) = I
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  | combterm_vars (CombVar (name, T)) = insert (op =) (name, SOME T)
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fun close_combformula_universally phi = close_universally combterm_vars phi
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fun term_vars (ATerm (name as (s, _), tms)) =
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  is_atp_variable s ? insert (op =) (name, NONE)
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  #> fold term_vars tms
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fun close_formula_universally phi = close_universally term_vars phi
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fun fo_term_from_typ (Type (s, Ts)) =
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    ATerm (`make_fixed_type_const s, map fo_term_from_typ Ts)
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  | fo_term_from_typ (TFree (s, _)) =
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    ATerm (`make_fixed_type_var s, [])
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  | fo_term_from_typ (TVar ((x as (s, _)), _)) =
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    ATerm ((make_schematic_type_var x, s), [])
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(* This shouldn't clash with anything else. *)
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val mangled_type_sep = "\000"
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fun generic_mangled_type_name f (ATerm (name, [])) = f name
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  | generic_mangled_type_name f (ATerm (name, tys)) =
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    f name ^ "(" ^ commas (map (generic_mangled_type_name f) tys) ^ ")"
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val mangled_type_name =
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  fo_term_from_typ
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  #> (fn ty => (make_tff_type (generic_mangled_type_name fst ty),
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                generic_mangled_type_name snd ty))
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fun generic_mangled_type_suffix f g Ts =
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  fold_rev (curry (op ^) o g o prefix mangled_type_sep
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            o generic_mangled_type_name f) Ts ""
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fun mangled_const_name T_args (s, s') =
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  let val ty_args = map fo_term_from_typ T_args in
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    (s ^ generic_mangled_type_suffix fst ascii_of ty_args,
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     s' ^ generic_mangled_type_suffix snd I ty_args)
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  end
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val parse_mangled_ident =
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  Scan.many1 (not o member (op =) ["(", ")", ","]) >> implode
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fun parse_mangled_type x =
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  (parse_mangled_ident
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   -- Scan.optional ($$ "(" |-- Scan.optional parse_mangled_types [] --| $$ ")")
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                    [] >> ATerm) x
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and parse_mangled_types x =
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  (parse_mangled_type ::: Scan.repeat ($$ "," |-- parse_mangled_type)) x
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fun unmangled_type s =
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  s |> suffix ")" |> raw_explode
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    |> Scan.finite Symbol.stopper
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           (Scan.error (!! (fn _ => raise Fail ("unrecognized mangled type " ^
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                                                quote s)) parse_mangled_type))
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    |> fst
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val unmangled_const_name = space_explode mangled_type_sep #> hd
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fun unmangled_const s =
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  let val ss = space_explode mangled_type_sep s in
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    (hd ss, map unmangled_type (tl ss))
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  end
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fun introduce_proxies tm =
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  let
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    fun aux top_level (CombApp (tm1, tm2)) =
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        CombApp (aux top_level tm1, aux false tm2)
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      | aux top_level (CombConst (name as (s, s'), T, T_args)) =
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        (case proxify_const s of
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           SOME proxy_base =>
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           if top_level then
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             (case s of
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                "c_False" => (tptp_false, s')
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              | "c_True" => (tptp_true, s')
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              | _ => name, [])
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           else
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             (proxy_base |>> prefix const_prefix, T_args)
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          | NONE => (name, T_args))
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        |> (fn (name, T_args) => CombConst (name, T, T_args))
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      | aux _ tm = tm
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  in aux true tm end
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fun combformula_from_prop thy eq_as_iff =
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  let
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    fun do_term bs t atomic_types =
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      combterm_from_term thy bs (Envir.eta_contract t)
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      |>> (introduce_proxies #> AAtom)
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      ||> union (op =) atomic_types
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    fun do_quant bs q s T t' =
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      let val s = Name.variant (map fst bs) s in
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        do_formula ((s, T) :: bs) t'
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        #>> mk_aquant q [(`make_bound_var s, SOME T)]
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      end
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    and do_conn bs c t1 t2 =
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      do_formula bs t1 ##>> do_formula bs t2
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      #>> uncurry (mk_aconn c)
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    and do_formula bs t =
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      case t of
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        @{const Not} $ t1 => do_formula bs t1 #>> mk_anot
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      | Const (@{const_name All}, _) $ Abs (s, T, t') =>
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        do_quant bs AForall s T t'
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      | Const (@{const_name Ex}, _) $ Abs (s, T, t') =>
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        do_quant bs AExists s T t'
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      | @{const HOL.conj} $ t1 $ t2 => do_conn bs AAnd t1 t2
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      | @{const HOL.disj} $ t1 $ t2 => do_conn bs AOr t1 t2
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      | @{const HOL.implies} $ t1 $ t2 => do_conn bs AImplies t1 t2
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      | Const (@{const_name HOL.eq}, Type (_, [@{typ bool}, _])) $ t1 $ t2 =>
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        if eq_as_iff then do_conn bs AIff t1 t2 else do_term bs t
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      | _ => do_term bs t
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  in do_formula [] end
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val presimplify_term = prop_of o Meson.presimplify oo Skip_Proof.make_thm
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fun concealed_bound_name j = sledgehammer_weak_prefix ^ string_of_int j
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fun conceal_bounds Ts t =
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  subst_bounds (map (Free o apfst concealed_bound_name)
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                    (0 upto length Ts - 1 ~~ Ts), t)
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fun reveal_bounds Ts =
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  subst_atomic (map (fn (j, T) => (Free (concealed_bound_name j, T), Bound j))
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                    (0 upto length Ts - 1 ~~ Ts))
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(* Removes the lambdas from an equation of the form "t = (%x. u)".
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   (Cf. "extensionalize_theorem" in "Meson_Clausify".) *)
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fun extensionalize_term t =
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  let
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    fun aux j (@{const Trueprop} $ t') = @{const Trueprop} $ aux j t'
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      | aux j (t as Const (s, Type (_, [Type (_, [_, T']),
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                                        Type (_, [_, res_T])]))
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                    $ t2 $ Abs (var_s, var_T, t')) =
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        if s = @{const_name HOL.eq} orelse s = @{const_name "=="} then
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diff changeset
   361
          let val var_t = Var ((var_s, j), var_T) in
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   362
            Const (s, T' --> T' --> res_T)
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   363
              $ betapply (t2, var_t) $ subst_bound (var_t, t')
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   364
            |> aux (j + 1)
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   365
          end
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   366
        else
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   367
          t
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   368
      | aux _ t = t
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   369
  in aux (maxidx_of_term t + 1) t end
01ed56c46259 beta eta contract the Sledgehammer conjecture (and also the axioms, although this might not be needed), just like Metis does (implicitly);
blanchet
parents: 38606
diff changeset
   370
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   371
fun introduce_combinators_in_term ctxt kind t =
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   372
  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
   373
    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
   374
      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
   375
    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
   376
      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
   377
        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
   378
          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
   379
            @{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
   380
          | (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
   381
            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
   382
          | (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
   383
            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
   384
          | (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
   385
            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
   386
          | (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
   387
            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
   388
          | (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
   389
          | (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
   390
          | (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
   391
          | (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
   392
              $ 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
   393
            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
   394
          | _ => 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
   395
                   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
   396
                 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
   397
                   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
   398
                     |> 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
   399
                     |> cterm_of thy
39890
a1695e2169d0 finished renaming file and module
blanchet
parents: 39886
diff changeset
   400
                     |> 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
   401
                     |> 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
   402
                     |> reveal_bounds Ts
39370
f8292d3020db use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents: 39005
diff changeset
   403
        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
   404
      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
   405
      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
   406
             (* 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
   407
             if kind = Conjecture then HOLogic.false_const
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   408
             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
   409
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   410
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   411
(* 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
   412
   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
   413
fun freeze_term t =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   414
  let
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   415
    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
   416
      | 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
   417
      | aux (Var ((s, i), T)) =
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   418
        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
   419
      | aux t = t
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   420
  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
   421
40204
da97d75e20e6 standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents: 40145
diff changeset
   422
(* making fact and conjecture formulas *)
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   423
fun make_formula ctxt eq_as_iff presimp name loc kind t =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   424
  let
42361
23f352990944 modernized structure Proof_Context;
wenzelm
parents: 42353
diff changeset
   425
    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
   426
    val t = t |> Envir.beta_eta_contract
38652
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   427
              |> transform_elim_term
41211
1e2e16bc0077 no need to do a super-duper atomization if Metis fails afterwards anyway
blanchet
parents: 41199
diff changeset
   428
              |> Object_Logic.atomize_term thy
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   429
    val need_trueprop = (fastype_of t = @{typ bool})
38652
e063be321438 perform eta-expansion of quantifier bodies in Sledgehammer translation when needed + transform elim rules later;
blanchet
parents: 38618
diff changeset
   430
    val t = t |> need_trueprop ? HOLogic.mk_Trueprop
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   431
              |> extensionalize_term
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   432
              |> presimp ? presimplify_term thy
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   433
              |> perhaps (try (HOLogic.dest_Trueprop))
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   434
              |> introduce_combinators_in_term ctxt kind
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   435
              |> kind <> Axiom ? freeze_term
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   436
    val (combformula, atomic_types) =
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   437
      combformula_from_prop thy eq_as_iff t []
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   438
  in
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   439
    {name = name, locality = loc, kind = kind, combformula = combformula,
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   440
     atomic_types = atomic_types}
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   441
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   442
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   443
fun make_fact ctxt keep_trivial eq_as_iff presimp ((name, loc), t) =
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   444
  case (keep_trivial, make_formula ctxt eq_as_iff presimp name loc Axiom t) of
41990
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   445
    (false, {combformula = AAtom (CombConst (("c_True", _), _, _)), ...}) =>
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   446
    NONE
7f2793d51efc add option to function to keep trivial ATP formulas, needed for some experiments
blanchet
parents: 41770
diff changeset
   447
  | (_, formula) => SOME formula
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
   448
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   449
fun make_conjecture ctxt ts =
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   450
  let val last = length ts - 1 in
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   451
    map2 (fn j => make_formula ctxt true true (string_of_int j) Chained
38613
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   452
                               (if j = last then Conjecture else Hypothesis))
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   453
         (0 upto last) ts
4ca2cae2653f use "hypothesis" rather than "conjecture" for hypotheses in TPTP format;
blanchet
parents: 38610
diff changeset
   454
  end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   455
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
   456
(** "hBOOL" and "hAPP" **)
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
   457
42574
blanchet
parents: 42573
diff changeset
   458
type sym_info =
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   459
  {pred_sym : bool, min_ary : int, max_ary : int, typ : typ option}
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   460
42574
blanchet
parents: 42573
diff changeset
   461
fun add_combterm_syms_to_table 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
   462
  let
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
   463
    fun aux top_level tm =
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
   464
      let val (head, args) = strip_combterm_comb tm in
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
   465
        (case head of
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   466
           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
   467
           if String.isPrefix bound_var_prefix s then
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
   468
             I
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
   469
           else
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   470
             let val ary = length args 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
   471
               Symtab.map_default
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
   472
                   (s, {pred_sym = true,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   473
                        min_ary = if explicit_apply then 0 else ary,
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   474
                        max_ary = 0, typ = SOME T})
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   475
                   (fn {pred_sym, min_ary, max_ary, typ} =>
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
   476
                       {pred_sym = pred_sym andalso top_level,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   477
                        min_ary = Int.min (ary, min_ary),
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   478
                        max_ary = Int.max (ary, max_ary),
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   479
                        typ = if typ = SOME T then typ else NONE})
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
   480
            end
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
   481
         | _ => I)
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
   482
        #> fold (aux false) args
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
   483
      end
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
   484
  in aux true end
42674
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   485
fun add_fact_syms_to_table explicit_apply =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   486
  fact_lift (formula_fold true (K (add_combterm_syms_to_table explicit_apply)))
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   487
42675
223153bb68a1 added type annotation for SML/NJ
blanchet
parents: 42674
diff changeset
   488
val default_sym_table_entries : (string * sym_info) list =
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   489
  [("equal", {pred_sym = true, min_ary = 2, max_ary = 2, typ = NONE}),
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   490
   (make_fixed_const predicator_base,
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   491
    {pred_sym = true, min_ary = 1, max_ary = 1, typ = NONE})] @
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   492
  ([tptp_false, tptp_true]
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
   493
   |> map (rpair {pred_sym = true, min_ary = 0, max_ary = 0, typ = NONE}))
41140
9c68004b8c9d added Sledgehammer support for higher-order propositional reasoning
blanchet
parents: 41138
diff changeset
   494
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   495
fun sym_table_for_facts explicit_apply facts =
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   496
  Symtab.empty |> fold Symtab.default default_sym_table_entries
42574
blanchet
parents: 42573
diff changeset
   497
               |> fold (add_fact_syms_to_table explicit_apply) facts
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   498
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
   499
fun min_arity_of sym_tab s =
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
   500
  case Symtab.lookup sym_tab s of
42574
blanchet
parents: 42573
diff changeset
   501
    SOME ({min_ary, ...} : sym_info) => min_ary
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
   502
  | NONE =>
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
   503
    case strip_prefix_and_unascii const_prefix s of
42547
b5eec0c99528 fixed arity of special constants if "explicit_apply" is set
blanchet
parents: 42546
diff changeset
   504
      SOME s =>
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
   505
      let val s = s |> unmangled_const_name |> invert_const in
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   506
        if s = predicator_base then 1
42547
b5eec0c99528 fixed arity of special constants if "explicit_apply" is set
blanchet
parents: 42546
diff changeset
   507
        else if s = explicit_app_base then 2
b5eec0c99528 fixed arity of special constants if "explicit_apply" is set
blanchet
parents: 42546
diff changeset
   508
        else if s = type_pred_base then 1
42557
ae0deb39a254 fixed min-arity computation when "explicit_apply" is specified
blanchet
parents: 42556
diff changeset
   509
        else 0
42547
b5eec0c99528 fixed arity of special constants if "explicit_apply" is set
blanchet
parents: 42546
diff changeset
   510
      end
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   511
    | NONE => 0
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   512
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   513
(* True if the constant ever appears outside of the top-level position in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   514
   literals, or if it appears with different arities (e.g., because of different
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   515
   type instantiations). If false, the constant always receives all of its
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   516
   arguments and is used as a predicate. *)
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
   517
fun is_pred_sym sym_tab s =
3d9930cb6770 cleaned up "explicit_apply" so that it shares most of its code path with the default mode of operation
blanchet
parents: 42557
diff changeset
   518
  case Symtab.lookup sym_tab s of
42574
blanchet
parents: 42573
diff changeset
   519
    SOME ({pred_sym, min_ary, max_ary, ...} : sym_info) =>
blanchet
parents: 42573
diff changeset
   520
    pred_sym andalso min_ary = max_ary
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
   521
  | NONE => false
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   522
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   523
val predicator_combconst =
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   524
  CombConst (`make_fixed_const predicator_base, @{typ "bool => bool"}, [])
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   525
fun predicator tm = CombApp (predicator_combconst, tm)
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
   526
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   527
fun introduce_predicators_in_combterm sym_tab tm =
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
   528
  case strip_combterm_comb tm of
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
   529
    (CombConst ((s, _), _, _), _) =>
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   530
    if is_pred_sym sym_tab s then tm else predicator tm
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   531
  | _ => predicator tm
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
   532
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   533
fun list_app head args = fold (curry (CombApp o swap)) args head
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   534
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   535
fun explicit_app arg head =
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   536
  let
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   537
    val head_T = combtyp_of head
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   538
    val (arg_T, res_T) = dest_funT head_T
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   539
    val explicit_app =
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   540
      CombConst (`make_fixed_const explicit_app_base, head_T --> head_T,
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   541
                 [arg_T, res_T])
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   542
  in list_app explicit_app [head, arg] end
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   543
fun list_explicit_app head args = fold explicit_app args head
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   544
42565
93f58e6a6f3e proper handling of partially applied proxy symbols
blanchet
parents: 42564
diff changeset
   545
fun introduce_explicit_apps_in_combterm sym_tab =
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   546
  let
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   547
    fun aux tm =
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   548
      case strip_combterm_comb tm of
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   549
        (head as CombConst ((s, _), _, _), args) =>
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   550
        args |> map aux
42557
ae0deb39a254 fixed min-arity computation when "explicit_apply" is specified
blanchet
parents: 42556
diff changeset
   551
             |> chop (min_arity_of sym_tab s)
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   552
             |>> list_app head
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   553
             |-> list_explicit_app
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   554
      | (head, args) => list_explicit_app head (map aux args)
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   555
  in aux end
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   556
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
   557
fun impose_type_arg_policy_in_combterm type_sys =
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
   558
  let
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
   559
    fun aux (CombApp tmp) = CombApp (pairself aux tmp)
42574
blanchet
parents: 42573
diff changeset
   560
      | aux (CombConst (name as (s, _), T, T_args)) =
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
   561
        (case strip_prefix_and_unascii const_prefix s of
42574
blanchet
parents: 42573
diff changeset
   562
           NONE => (name, T_args)
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
   563
         | SOME s'' =>
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
   564
           let val s'' = invert_const s'' in
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
   565
             case type_arg_policy type_sys s'' of
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
   566
               No_Type_Args => (name, [])
42574
blanchet
parents: 42573
diff changeset
   567
             | Explicit_Type_Args => (name, T_args)
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   568
             | Mangled_Type_Args => (mangled_const_name T_args name, [])
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
   569
           end)
42574
blanchet
parents: 42573
diff changeset
   570
        |> (fn (name, T_args) => CombConst (name, T, T_args))
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
   571
      | aux tm = tm
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
   572
  in aux end
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
   573
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
   574
fun repair_combterm type_sys sym_tab =
42565
93f58e6a6f3e proper handling of partially applied proxy symbols
blanchet
parents: 42564
diff changeset
   575
  introduce_explicit_apps_in_combterm sym_tab
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   576
  #> introduce_predicators_in_combterm sym_tab
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
   577
  #> impose_type_arg_policy_in_combterm type_sys
42674
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   578
fun repair_fact type_sys sym_tab =
af86324707f2 eta-expansion for SML/NJ
blanchet
parents: 42670
diff changeset
   579
  update_combformula (formula_map (repair_combterm type_sys sym_tab))
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
   580
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
   581
(** Helper facts **)
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
   582
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
   583
fun ti_ti_helper_fact () =
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
   584
  let
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
   585
    fun var s = ATerm (`I s, [])
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   586
    fun tag tm = ATerm (`make_fixed_const type_tag_name, [var "X", tm])
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
   587
  in
42612
bb9143d7e217 cosmetics
blanchet
parents: 42608
diff changeset
   588
    Formula (helper_prefix ^ "ti_ti", Axiom,
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
   589
             AAtom (ATerm (`I "equal", [tag (tag (var "Y")), tag (var "Y")]))
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
   590
             |> close_formula_universally, NONE, NONE)
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
   591
  end
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
   592
42574
blanchet
parents: 42573
diff changeset
   593
fun helper_facts_for_sym ctxt type_sys (s, {typ, ...} : sym_info) =
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
   594
  case strip_prefix_and_unascii const_prefix s of
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
   595
    SOME mangled_s =>
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
   596
    let
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
   597
      val thy = Proof_Context.theory_of ctxt
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
   598
      val unmangled_s = mangled_s |> unmangled_const_name
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   599
      fun dub_and_inst c needs_some_types (th, j) =
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   600
        ((c ^ "_" ^ string_of_int j ^ (if needs_some_types then "T" else ""),
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   601
          Chained),
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
   602
         let val t = th |> prop_of in
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   603
           t |> (general_type_arg_policy type_sys = Mangled_Type_Args andalso
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
   604
                 not (null (Term.hidden_polymorphism t)))
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
   605
                ? (case typ of
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
   606
                     SOME T => specialize_type thy (invert_const unmangled_s, T)
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
   607
                   | NONE => I)
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
   608
         end)
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
   609
      fun make_facts eq_as_iff =
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
   610
        map_filter (make_fact ctxt false eq_as_iff false)
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   611
      val has_some_types = is_type_sys_fairly_sound type_sys
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
   612
    in
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
   613
      metis_helpers
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   614
      |> maps (fn (metis_s, (needs_some_types, ths)) =>
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
   615
                  if metis_s <> unmangled_s orelse
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   616
                     (needs_some_types andalso not has_some_types) then
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
   617
                    []
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
   618
                  else
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
   619
                    ths ~~ (1 upto length ths)
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   620
                    |> map (dub_and_inst mangled_s needs_some_types)
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   621
                    |> make_facts (not needs_some_types))
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
   622
    end
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
   623
  | NONE => []
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
   624
fun helper_facts_for_sym_table ctxt type_sys sym_tab =
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
   625
  Symtab.fold_rev (append o helper_facts_for_sym ctxt type_sys) sym_tab []
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
   626
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
   627
fun translate_atp_fact ctxt keep_trivial =
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
   628
  `(make_fact ctxt keep_trivial true true o apsnd prop_of)
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
   629
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
   630
fun translate_formulas ctxt type_sys hyp_ts concl_t rich_facts =
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
   631
  let
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
   632
    val thy = Proof_Context.theory_of ctxt
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
   633
    val fact_ts = map (prop_of o snd o snd) rich_facts
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
   634
    val (facts, fact_names) =
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
   635
      rich_facts
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
   636
      |> map_filter (fn (NONE, _) => NONE
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
   637
                      | (SOME fact, (name, _)) => SOME (fact, name))
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
   638
      |> ListPair.unzip
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
   639
    (* Remove existing facts from the conjecture, as this can dramatically
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
   640
       boost an ATP's performance (for some reason). *)
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
   641
    val hyp_ts = hyp_ts |> filter_out (member (op aconv) fact_ts)
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
   642
    val goal_t = Logic.list_implies (hyp_ts, concl_t)
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
   643
    val all_ts = goal_t :: fact_ts
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
   644
    val subs = tfree_classes_of_terms all_ts
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
   645
    val supers = tvar_classes_of_terms all_ts
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
   646
    val tycons = type_consts_of_terms thy all_ts
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
   647
    val conjs = make_conjecture ctxt (hyp_ts @ [concl_t])
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
   648
    val (supers', arity_clauses) =
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   649
      if level_of_type_sys type_sys = No_Types then ([], [])
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
   650
      else make_arity_clauses thy tycons supers
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
   651
    val class_rel_clauses = make_class_rel_clauses thy subs supers'
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
   652
  in
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
   653
    (fact_names |> map single, (conjs, facts, class_rel_clauses, arity_clauses))
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
   654
  end
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
   655
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
   656
fun fo_literal_from_type_literal (TyLitVar (class, name)) =
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
   657
    (true, ATerm (class, [ATerm (name, [])]))
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
   658
  | fo_literal_from_type_literal (TyLitFree (class, name)) =
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
   659
    (true, ATerm (class, [ATerm (name, [])]))
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
   660
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
   661
fun formula_from_fo_literal (pos, t) = AAtom t |> not pos ? mk_anot
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
   662
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
   663
(* Finite types such as "unit", "bool", "bool * bool", and "bool => bool" are
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
   664
   considered dangerous because their "exhaust" properties can easily lead to
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
   665
   unsound ATP proofs. The checks below are an (unsound) approximation of
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
   666
   finiteness. *)
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
   667
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   668
fun datatype_constrs thy (T as Type (s, Ts)) =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   669
    (case Datatype.get_info thy s of
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   670
       SOME {index, descr, ...} =>
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   671
       let val (_, dtyps, constrs) = AList.lookup (op =) descr index |> the in
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   672
         map (apsnd (fn Us => map (typ_of_dtyp descr (dtyps ~~ Ts)) Us ---> T))
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   673
             constrs
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   674
       end
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   675
     | NONE => [])
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   676
  | datatype_constrs _ _ = []
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
   677
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   678
(* Similar to "Nitpick_HOL.bounded_exact_card_of_type".
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   679
   0 means infinite type, 1 means singleton type (e.g., "unit"), and 2 means
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   680
   cardinality 2 or more. The specified default cardinality is returned if the
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   681
   cardinality of the type can't be determined. *)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   682
fun tiny_card_of_type ctxt default_card T =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   683
  let
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   684
    val max = 2 (* 1 would be too small for the "fun" case *)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   685
    fun aux avoid T =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   686
      (if member (op =) avoid T then
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   687
         0
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   688
       else case T of
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   689
         Type (@{type_name fun}, [T1, T2]) =>
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   690
         (case (aux avoid T1, aux avoid T2) of
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   691
            (_, 1) => 1
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   692
          | (0, _) => 0
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   693
          | (_, 0) => 0
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   694
          | (k1, k2) =>
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   695
            if k1 >= max orelse k2 >= max then max
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   696
            else Int.min (max, Integer.pow k2 k1))
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   697
       | Type _ =>
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   698
         (case datatype_constrs (Proof_Context.theory_of ctxt) T of
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   699
            [] => default_card
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   700
          | constrs =>
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   701
            let
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   702
              val constr_cards =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   703
                map (Integer.prod o map (aux (T :: avoid)) o binder_types o snd)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   704
                    constrs
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   705
            in
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   706
              if exists (curry (op =) 0) constr_cards then 0
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   707
              else Int.min (max, Integer.sum constr_cards)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   708
            end)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   709
       | _ => default_card)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   710
  in Int.min (max, aux [] T) end
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   711
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   712
fun is_type_surely_finite ctxt T = tiny_card_of_type ctxt 0 T <> 0
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   713
fun is_type_surely_infinite ctxt T = tiny_card_of_type ctxt 1 T = 0
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   714
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   715
fun should_encode_type _ _ All_Types _ = true
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   716
  | should_encode_type ctxt _ Finite_Types T = is_type_surely_finite ctxt T
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   717
  | should_encode_type _ nonmono_Ts Nonmonotonic_Types T =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   718
    exists (curry Type.raw_instance T) nonmono_Ts
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   719
  | should_encode_type _ _ _ _ = false
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   720
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   721
fun should_predicate_on_type ctxt nonmono_Ts (Preds (_, level)) T =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   722
    should_encode_type ctxt nonmono_Ts level T
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   723
  | should_predicate_on_type _ _ _ _ = false
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   724
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   725
fun should_tag_with_type ctxt nonmono_Ts (Tags (_, level)) T =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   726
    should_encode_type ctxt nonmono_Ts level T
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   727
  | should_tag_with_type _ _ _ _ = false
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
   728
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
   729
fun type_pred_combatom type_sys T tm =
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
   730
  CombApp (CombConst (`make_fixed_const type_pred_base, T --> @{typ bool}, [T]),
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
   731
           tm)
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
   732
  |> impose_type_arg_policy_in_combterm type_sys
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
   733
  |> AAtom
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
   734
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   735
fun formula_from_combformula ctxt nonmono_Ts type_sys =
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
   736
  let
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   737
    fun tag_with_type type_sys T tm =
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   738
      CombConst (`make_fixed_const type_tag_name, T --> T, [T])
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   739
      |> impose_type_arg_policy_in_combterm type_sys
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   740
      |> do_term true
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   741
      |> (fn ATerm (s, tms) => ATerm (s, tms @ [tm]))
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   742
    and do_term top_level u =
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
   743
      let
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
   744
        val (head, args) = strip_combterm_comb u
42574
blanchet
parents: 42573
diff changeset
   745
        val (x, T_args) =
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
   746
          case head of
42574
blanchet
parents: 42573
diff changeset
   747
            CombConst (name, _, T_args) => (name, T_args)
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
   748
          | CombVar (name, _) => (name, [])
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
   749
          | CombApp _ => raise Fail "impossible \"CombApp\""
42574
blanchet
parents: 42573
diff changeset
   750
        val t = ATerm (x, map fo_term_from_typ T_args @
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
   751
                          map (do_term false) args)
42574
blanchet
parents: 42573
diff changeset
   752
        val T = combtyp_of u
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
   753
      in
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   754
        t |> (if not top_level andalso
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   755
                should_tag_with_type ctxt nonmono_Ts type_sys T then
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   756
                tag_with_type type_sys T
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
   757
              else
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
   758
                I)
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
   759
      end
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
   760
    val do_bound_type =
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
   761
      if type_sys = Many_Typed then SOME o mangled_type_name else K NONE
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
   762
    fun do_out_of_bound_type (s, T) =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   763
      if should_predicate_on_type ctxt nonmono_Ts type_sys T then
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
   764
        type_pred_combatom type_sys T (CombVar (s, T))
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
   765
        |> do_formula |> SOME
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
   766
      else
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
   767
        NONE
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
   768
    and do_formula (AQuant (q, xs, phi)) =
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
   769
        AQuant (q, xs |> map (apsnd (fn NONE => NONE
42574
blanchet
parents: 42573
diff changeset
   770
                                      | SOME T => do_bound_type T)),
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
   771
                (if q = AForall then mk_ahorn else fold_rev (mk_aconn AAnd))
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
   772
                    (map_filter
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
   773
                         (fn (_, NONE) => NONE
42574
blanchet
parents: 42573
diff changeset
   774
                           | (s, SOME T) => do_out_of_bound_type (s, T)) xs)
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
   775
                    (do_formula phi))
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
   776
      | do_formula (AConn (c, phis)) = AConn (c, map do_formula phis)
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
   777
      | do_formula (AAtom tm) = AAtom (do_term true tm)
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
   778
  in do_formula end
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
   779
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   780
fun formula_for_fact ctxt nonmono_Ts type_sys
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
   781
                     ({combformula, atomic_types, ...} : translated_formula) =
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
   782
  mk_ahorn (map (formula_from_fo_literal o fo_literal_from_type_literal)
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
   783
                (atp_type_literals_for_types type_sys Axiom atomic_types))
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   784
           (formula_from_combformula ctxt nonmono_Ts type_sys
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
   785
                (close_combformula_universally combformula))
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
   786
  |> close_formula_universally
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
   787
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   788
fun useful_isabelle_info s = SOME (ATerm ("[]", [ATerm ("isabelle_" ^ s, [])]))
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   789
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
   790
(* Each fact is given a unique fact number to avoid name clashes (e.g., because
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
   791
   of monomorphization). The TPTP explicitly forbids name clashes, and some of
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
   792
   the remote provers might care. *)
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   793
fun formula_line_for_fact ctxt prefix nonmono_Ts type_sys
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   794
                          (j, formula as {name, locality, kind, ...}) =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   795
  Formula (prefix ^ (if polymorphism_of_type_sys type_sys = Polymorphic then ""
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   796
                     else string_of_int j ^ "_") ^
42647
59142dbfa3ba no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents: 42646
diff changeset
   797
           ascii_of name,
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   798
           kind, formula_for_fact ctxt nonmono_Ts type_sys formula, NONE,
42640
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   799
           if generate_useful_info then
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   800
             case locality of
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   801
               Intro => useful_isabelle_info "intro"
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   802
             | Elim => useful_isabelle_info "elim"
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   803
             | Simp => useful_isabelle_info "simp"
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   804
             | _ => NONE
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   805
           else
879d2d6b05ce generate tags for simps, intros, and elims in TPTP poblems on demand
blanchet
parents: 42613
diff changeset
   806
             NONE)
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
   807
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
   808
fun formula_line_for_class_rel_clause (ClassRelClause {name, subclass,
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
   809
                                                       superclass, ...}) =
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
   810
  let val ty_arg = ATerm (`I "T", []) in
42577
78414ec6fa4e made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents: 42576
diff changeset
   811
    Formula (class_rel_clause_prefix ^ ascii_of name, Axiom,
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
   812
             AConn (AImplies, [AAtom (ATerm (subclass, [ty_arg])),
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
   813
                               AAtom (ATerm (superclass, [ty_arg]))])
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
   814
             |> close_formula_universally, NONE, NONE)
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
   815
  end
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
   816
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
   817
fun fo_literal_from_arity_literal (TConsLit (c, t, args)) =
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
   818
    (true, ATerm (c, [ATerm (t, map (fn arg => ATerm (arg, [])) args)]))
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
   819
  | fo_literal_from_arity_literal (TVarLit (c, sort)) =
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
   820
    (false, ATerm (c, [ATerm (sort, [])]))
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
   821
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
   822
fun formula_line_for_arity_clause (ArityClause {name, conclLit, premLits,
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
   823
                                                ...}) =
42577
78414ec6fa4e made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents: 42576
diff changeset
   824
  Formula (arity_clause_prefix ^ ascii_of name, Axiom,
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
   825
           mk_ahorn (map (formula_from_fo_literal o apfst not
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
   826
                          o fo_literal_from_arity_literal) premLits)
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
   827
                    (formula_from_fo_literal
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
   828
                         (fo_literal_from_arity_literal conclLit))
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
   829
           |> close_formula_universally, NONE, NONE)
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
   830
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   831
fun formula_line_for_conjecture ctxt nonmono_Ts type_sys
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
   832
        ({name, kind, combformula, ...} : translated_formula) =
42577
78414ec6fa4e made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents: 42576
diff changeset
   833
  Formula (conjecture_prefix ^ name, kind,
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   834
           formula_from_combformula ctxt nonmono_Ts type_sys
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
   835
                                    (close_combformula_universally combformula)
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
   836
           |> close_formula_universally, NONE, NONE)
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
   837
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
   838
fun free_type_literals type_sys ({atomic_types, ...} : translated_formula) =
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
   839
  atomic_types |> atp_type_literals_for_types type_sys Conjecture
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
   840
               |> map fo_literal_from_type_literal
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
   841
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
   842
fun formula_line_for_free_type j lit =
42577
78414ec6fa4e made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents: 42576
diff changeset
   843
  Formula (tfree_prefix ^ string_of_int j, Hypothesis,
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
   844
           formula_from_fo_literal lit, NONE, NONE)
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
   845
fun formula_lines_for_free_types type_sys facts =
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
   846
  let
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
   847
    val litss = map (free_type_literals type_sys) facts
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
   848
    val lits = fold (union (op =)) litss []
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
   849
  in map2 formula_line_for_free_type (0 upto length lits - 1) lits end
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
   850
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
   851
(** Symbol declarations **)
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
   852
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
   853
fun insert_type get_T x xs =
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   854
  let val T = get_T x in
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   855
    if exists (curry Type.raw_instance T o get_T) xs then xs
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   856
    else x :: filter_out ((fn T' => Type.raw_instance (T', T)) o get_T) xs
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   857
  end
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   858
42574
blanchet
parents: 42573
diff changeset
   859
fun should_declare_sym type_sys pred_sym s =
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
   860
  not (String.isPrefix bound_var_prefix s) andalso s <> "equal" andalso
42645
242bc53b98e5 do not declare TPTP built-ins, e.g. $true
blanchet
parents: 42640
diff changeset
   861
  not (String.isPrefix "$" s) andalso
42574
blanchet
parents: 42573
diff changeset
   862
  (type_sys = Many_Typed orelse not pred_sym)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
   863
42574
blanchet
parents: 42573
diff changeset
   864
fun add_combterm_syms_to_decl_table type_sys repaired_sym_tab =
blanchet
parents: 42573
diff changeset
   865
  let
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
   866
    fun declare_sym decl decls =
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   867
      (* FIXME: use "insert_type" in all cases? *)
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   868
      case type_sys of
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
   869
        Preds (Polymorphic, All_Types) => insert_type #3 decl decls
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   870
      | _ => insert (op =) decl decls
42576
a8a80a2a34be merge symbol declarations that are type-instances of each other -- useful for type system "Args true" with monomorphization turned off
blanchet
parents: 42575
diff changeset
   871
    fun do_term tm =
42574
blanchet
parents: 42573
diff changeset
   872
      let val (head, args) = strip_combterm_comb tm in
blanchet
parents: 42573
diff changeset
   873
        (case head of
blanchet
parents: 42573
diff changeset
   874
           CombConst ((s, s'), T, T_args) =>
blanchet
parents: 42573
diff changeset
   875
           let val pred_sym = is_pred_sym repaired_sym_tab s in
blanchet
parents: 42573
diff changeset
   876
             if should_declare_sym type_sys pred_sym s then
42576
a8a80a2a34be merge symbol declarations that are type-instances of each other -- useful for type system "Args true" with monomorphization turned off
blanchet
parents: 42575
diff changeset
   877
               Symtab.map_default (s, [])
a8a80a2a34be merge symbol declarations that are type-instances of each other -- useful for type system "Args true" with monomorphization turned off
blanchet
parents: 42575
diff changeset
   878
                   (declare_sym (s', T_args, T, pred_sym, length args))
42574
blanchet
parents: 42573
diff changeset
   879
             else
blanchet
parents: 42573
diff changeset
   880
               I
blanchet
parents: 42573
diff changeset
   881
           end
blanchet
parents: 42573
diff changeset
   882
         | _ => I)
42576
a8a80a2a34be merge symbol declarations that are type-instances of each other -- useful for type system "Args true" with monomorphization turned off
blanchet
parents: 42575
diff changeset
   883
        #> fold do_term args
42574
blanchet
parents: 42573
diff changeset
   884
      end
42576
a8a80a2a34be merge symbol declarations that are type-instances of each other -- useful for type system "Args true" with monomorphization turned off
blanchet
parents: 42575
diff changeset
   885
  in do_term end
42574
blanchet
parents: 42573
diff changeset
   886
fun add_fact_syms_to_decl_table type_sys repaired_sym_tab =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   887
  fact_lift (formula_fold true
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
   888
      (K (add_combterm_syms_to_decl_table type_sys repaired_sym_tab)))
42574
blanchet
parents: 42573
diff changeset
   889
fun sym_decl_table_for_facts type_sys repaired_sym_tab facts =
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
   890
  Symtab.empty |> is_type_sys_fairly_sound type_sys
42574
blanchet
parents: 42573
diff changeset
   891
                  ? fold (add_fact_syms_to_decl_table type_sys repaired_sym_tab)
blanchet
parents: 42573
diff changeset
   892
                         facts
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   893
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   894
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
   895
(* FIXME: use CombVar not CombConst for bound variables? *)
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   896
fun is_var_or_bound_var (CombConst ((s, _), _, _)) =
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   897
    String.isPrefix bound_var_prefix s
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   898
  | is_var_or_bound_var (CombVar _) = true
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   899
  | is_var_or_bound_var _ = false
25496cd3c199 monotonic type inference in ATP Sledgehammer problems -- based on Claessen & al.'s CADE 2011 paper, Sect. 2.3.
blanchet
parents: 42675
diff changeset
   900
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   901
fun add_combterm_nonmonotonic_types _ (SOME false) _ = I
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   902
  | add_combterm_nonmonotonic_types ctxt _
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   903
        (CombApp (CombApp (CombConst (("equal", _), Type (_, [T, _]), _), tm1),
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   904
                  tm2)) =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   905
    (exists is_var_or_bound_var [tm1, tm2] andalso
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   906
     not (is_type_surely_infinite ctxt T)) ? insert_type I T
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   907
  | add_combterm_nonmonotonic_types _ _ _ = I
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   908
fun add_fact_nonmonotonic_types ctxt ({kind, combformula, ...}
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   909
                                      : translated_formula) =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   910
  formula_fold (kind <> Conjecture) (add_combterm_nonmonotonic_types ctxt)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   911
               combformula
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   912
fun add_nonmonotonic_types_for_facts ctxt type_sys facts =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   913
  level_of_type_sys type_sys = Nonmonotonic_Types
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   914
  ? fold (add_fact_nonmonotonic_types ctxt) facts
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
   915
42574
blanchet
parents: 42573
diff changeset
   916
fun n_ary_strip_type 0 T = ([], T)
blanchet
parents: 42573
diff changeset
   917
  | n_ary_strip_type n (Type (@{type_name fun}, [dom_T, ran_T])) =
blanchet
parents: 42573
diff changeset
   918
    n_ary_strip_type (n - 1) ran_T |>> cons dom_T
blanchet
parents: 42573
diff changeset
   919
  | n_ary_strip_type _ _ = raise Fail "unexpected non-function"
42533
dc81fe6b7a87 generate TFF type declarations in typed mode
blanchet
parents: 42531
diff changeset
   920
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   921
fun result_type_of_decl (_, _, T, _, ary) = n_ary_strip_type ary T |> snd
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   922
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   923
fun decl_line_for_sym_decl s (s', _, T, pred_sym, ary) =
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   924
  let val (arg_Ts, res_T) = n_ary_strip_type ary T in
42612
bb9143d7e217 cosmetics
blanchet
parents: 42608
diff changeset
   925
    Decl (sym_decl_prefix ^ s, (s, s'), map mangled_type_name arg_Ts,
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   926
          if pred_sym then `I tptp_tff_bool_type else mangled_type_name res_T)
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   927
  end
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   928
42592
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   929
fun is_polymorphic_type T = fold_atyps (fn TVar _ => K true | _ => I) T false
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   930
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   931
fun formula_line_for_sym_decl ctxt nonmono_Ts type_sys n s j
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   932
                              (s', T_args, T, _, ary) =
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   933
  let
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   934
    val (arg_Ts, res_T) = n_ary_strip_type ary T
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   935
    val bound_names =
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   936
      1 upto length arg_Ts |> map (`I o make_bound_var o string_of_int)
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   937
    val bound_tms =
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   938
      bound_names ~~ arg_Ts |> map (fn (name, T) => CombConst (name, T, []))
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   939
    val bound_Ts =
42592
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   940
      arg_Ts |> map (fn T => if n > 1 orelse is_polymorphic_type T then SOME T
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   941
                             else NONE)
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   942
  in
42612
bb9143d7e217 cosmetics
blanchet
parents: 42608
diff changeset
   943
    Formula (sym_decl_prefix ^ s ^
bb9143d7e217 cosmetics
blanchet
parents: 42608
diff changeset
   944
             (if n > 1 then "_" ^ string_of_int j else ""), Axiom,
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   945
             CombConst ((s, s'), T, T_args)
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   946
             |> fold (curry (CombApp o swap)) bound_tms
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   947
             |> type_pred_combatom type_sys res_T
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   948
             |> mk_aquant AForall (bound_names ~~ bound_Ts)
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   949
             |> formula_from_combformula ctxt nonmono_Ts type_sys
42586
59e0ca92bb0b close formula universally, to make SPASS happy
blanchet
parents: 42585
diff changeset
   950
             |> close_formula_universally,
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   951
             NONE, NONE)
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   952
  end
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   953
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   954
fun problem_lines_for_sym_decls ctxt nonmono_Ts type_sys (s, decls) =
42574
blanchet
parents: 42573
diff changeset
   955
  if type_sys = Many_Typed then
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   956
    map (decl_line_for_sym_decl s) decls
42574
blanchet
parents: 42573
diff changeset
   957
  else
blanchet
parents: 42573
diff changeset
   958
    let
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   959
      val decls =
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   960
        case decls of
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   961
          decl :: (decls' as _ :: _) =>
42592
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   962
          let val T = result_type_of_decl decl in
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   963
            if forall ((fn T' => Type.raw_instance (T', T))
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   964
                       o result_type_of_decl) decls' then
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   965
              [decl]
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   966
            else
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   967
              decls
fa2cf11d6351 beware of polymorphic types in typed translation symbol declarations -- match alpha-equivalent types and, more importantly, prevent unsoundnesses by generating type constraints on the arguments of a polymorphic symbols (otherwise "hAPP" can be given any result type)
blanchet
parents: 42589
diff changeset
   968
          end
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   969
        | _ => decls
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   970
      val n = length decls
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   971
      val decls =
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   972
        decls |> filter (should_predicate_on_type ctxt nonmono_Ts type_sys
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   973
                         o result_type_of_decl)
42574
blanchet
parents: 42573
diff changeset
   974
    in
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   975
      map2 (formula_line_for_sym_decl ctxt nonmono_Ts type_sys n s)
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   976
           (0 upto length decls - 1) decls
42574
blanchet
parents: 42573
diff changeset
   977
    end
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
   978
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   979
fun problem_lines_for_sym_decl_table ctxt nonmono_Ts type_sys sym_decl_tab =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   980
  Symtab.fold_rev (append o problem_lines_for_sym_decls ctxt nonmono_Ts
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
   981
                                                        type_sys)
42574
blanchet
parents: 42573
diff changeset
   982
                  sym_decl_tab []
42543
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   983
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   984
fun add_tff_types_in_formula (AQuant (_, xs, phi)) =
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   985
    union (op =) (map_filter snd xs) #> add_tff_types_in_formula phi
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   986
  | add_tff_types_in_formula (AConn (_, phis)) =
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   987
    fold add_tff_types_in_formula phis
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   988
  | add_tff_types_in_formula (AAtom _) = I
42539
f6ba908b8b27 generate typing for "hBOOL" in "Many_Typed" mode + tuning
blanchet
parents: 42538
diff changeset
   989
42562
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   990
fun add_tff_types_in_problem_line (Decl (_, _, arg_Ts, res_T)) =
f1d903f789b1 killed needless datatype "combtyp" in Metis
blanchet
parents: 42561
diff changeset
   991
    union (op =) (res_T :: arg_Ts)
42577
78414ec6fa4e made the format (TFF or FOF) of the TPTP problem a global argument of the problem again and have the ATPs report which formats they support
blanchet
parents: 42576
diff changeset
   992
  | add_tff_types_in_problem_line (Formula (_, _, phi, _, _)) =
42543
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   993
    add_tff_types_in_formula phi
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   994
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   995
fun tff_types_in_problem problem =
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   996
  fold (fold add_tff_types_in_problem_line o snd) problem []
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
   997
42545
a14b602fb3d5 minor cleanup
blanchet
parents: 42544
diff changeset
   998
fun decl_line_for_tff_type (s, s') =
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
   999
  Decl (type_decl_prefix ^ ascii_of s, (s, s'), [], `I tptp_tff_type_of_types)
42543
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
  1000
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
  1001
val type_declsN = "Types"
42544
75cb06eee990 reimplemented the hAPP introduction code so that it's done earlier, when the types are still available
blanchet
parents: 42543
diff changeset
  1002
val sym_declsN = "Symbol types"
41157
blanchet
parents: 41150
diff changeset
  1003
val factsN = "Relevant facts"
blanchet
parents: 41150
diff changeset
  1004
val class_relsN = "Class relationships"
42543
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
  1005
val aritiesN = "Arities"
41157
blanchet
parents: 41150
diff changeset
  1006
val helpersN = "Helper facts"
blanchet
parents: 41150
diff changeset
  1007
val conjsN = "Conjectures"
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
  1008
val free_typesN = "Type variables"
41157
blanchet
parents: 41150
diff changeset
  1009
blanchet
parents: 41150
diff changeset
  1010
fun offset_of_heading_in_problem _ [] j = j
blanchet
parents: 41150
diff changeset
  1011
  | offset_of_heading_in_problem needle ((heading, lines) :: problem) j =
blanchet
parents: 41150
diff changeset
  1012
    if heading = needle then j
blanchet
parents: 41150
diff changeset
  1013
    else offset_of_heading_in_problem needle problem (j + length lines)
blanchet
parents: 41150
diff changeset
  1014
42568
7b9801a34836 no needless "fequal" proxies if "explicit_apply" is set + always have readable names
blanchet
parents: 42566
diff changeset
  1015
fun prepare_atp_problem ctxt type_sys explicit_apply hyp_ts concl_t facts =
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1016
  let
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
  1017
    val (fact_names, (conjs, facts, class_rel_clauses, arity_clauses)) =
41134
de9e0adc21da added "type_sys" option to Sledgehammer
blanchet
parents: 41091
diff changeset
  1018
      translate_formulas ctxt type_sys hyp_ts concl_t facts
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
  1019
    val sym_tab = conjs @ facts |> sym_table_for_facts explicit_apply
42565
93f58e6a6f3e proper handling of partially applied proxy symbols
blanchet
parents: 42564
diff changeset
  1020
    val (conjs, facts) =
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
  1021
      (conjs, facts) |> pairself (map (repair_fact type_sys sym_tab))
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1022
    val repaired_sym_tab = conjs @ facts |> sym_table_for_facts false
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
  1023
    val helpers =
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
  1024
      helper_facts_for_sym_table ctxt type_sys repaired_sym_tab
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
  1025
      |> map (repair_fact type_sys sym_tab)
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1026
    val nonmono_Ts =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1027
      [] |> fold (add_nonmonotonic_types_for_facts ctxt type_sys)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1028
                 [facts, conjs, helpers]
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1029
    val sym_decl_lines =
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1030
      conjs @ facts
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1031
      |> sym_decl_table_for_facts type_sys repaired_sym_tab
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1032
      |> problem_lines_for_sym_decl_table ctxt nonmono_Ts type_sys
42522
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
  1033
    (* Reordering these might confuse the proof reconstruction code or the SPASS
413b56894f82 close ATP formulas universally earlier, so that we can add type predicates
blanchet
parents: 42521
diff changeset
  1034
       Flotter hack. *)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1035
    val problem =
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1036
      [(sym_declsN, sym_decl_lines),
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1037
       (factsN, map (formula_line_for_fact ctxt fact_prefix nonmono_Ts type_sys)
42180
a6c141925a8a added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents: 41990
diff changeset
  1038
                    (0 upto length facts - 1 ~~ facts)),
42545
a14b602fb3d5 minor cleanup
blanchet
parents: 42544
diff changeset
  1039
       (class_relsN, map formula_line_for_class_rel_clause class_rel_clauses),
a14b602fb3d5 minor cleanup
blanchet
parents: 42544
diff changeset
  1040
       (aritiesN, map formula_line_for_arity_clause arity_clauses),
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1041
       (helpersN, map (formula_line_for_fact ctxt helper_prefix nonmono_Ts
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1042
                                             type_sys)
42563
e70ffe3846d0 improve helper type instantiation code
blanchet
parents: 42562
diff changeset
  1043
                      (0 upto length helpers - 1 ~~ helpers)
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1044
                  |> (case type_sys of
42589
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
  1045
                        Tags (Polymorphic, level) =>
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
  1046
                        member (op =) [Finite_Types, Nonmonotonic_Types] level
9f7c48463645 restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
blanchet
parents: 42586
diff changeset
  1047
                        ? cons (ti_ti_helper_fact ())
42579
2552c09b1a72 implement the new ATP type system in Sledgehammer
blanchet
parents: 42577
diff changeset
  1048
                      | _ => I)),
42680
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1049
       (conjsN, map (formula_line_for_conjecture ctxt nonmono_Ts type_sys)
b6c27cf04fe9 exploit inferred monotonicity
blanchet
parents: 42677
diff changeset
  1050
                    conjs),
42545
a14b602fb3d5 minor cleanup
blanchet
parents: 42544
diff changeset
  1051
       (free_typesN, formula_lines_for_free_types type_sys (facts @ conjs))]
42543
f9d402d144d4 declare TFF types so that SNARK can be used with types
blanchet
parents: 42542
diff changeset
  1052
    val problem =
42561
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1053
      problem
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1054
      |> (if type_sys = Many_Typed then
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1055
            cons (type_declsN,
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1056
                  map decl_line_for_tff_type (tff_types_in_problem problem))
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1057
          else
23ddc4e3d19c have properly type-instantiated helper facts (combinators and If)
blanchet
parents: 42560
diff changeset
  1058
            I)
42646
4781fcd53572 replaced some Unsynchronized.refs with Config.Ts
blanchet
parents: 42645
diff changeset
  1059
    val (problem, pool) =
4781fcd53572 replaced some Unsynchronized.refs with Config.Ts
blanchet
parents: 42645
diff changeset
  1060
      problem |> nice_atp_problem (Config.get ctxt readable_names)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1061
  in
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1062
    (problem,
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1063
     case pool of SOME the_pool => snd the_pool | NONE => Symtab.empty,
42585
723b9d1e8ba5 fixed embarrassing bug where conjecture and fact offsets were swapped
blanchet
parents: 42579
diff changeset
  1064
     offset_of_heading_in_problem conjsN problem 0,
42541
8938507b2054 move type declarations to the front, for TFF-compliance
blanchet
parents: 42540
diff changeset
  1065
     offset_of_heading_in_problem factsN problem 0,
41157
blanchet
parents: 41150
diff changeset
  1066
     fact_names |> Vector.fromList)
38282
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1067
  end
319c59682c51 move Sledgehammer's HOL -> FOL translation to separate file (sledgehammer_translate.ML)
blanchet
parents:
diff changeset
  1068
41313
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211
diff changeset
  1069
(* FUDGE *)
a96ac4d180b7 optionally supply constant weights to E -- turned off by default until properly parameterized
blanchet
parents: 41211