(*  Title:      HOL/ex/atp_export.ML

    Author:     Jasmin Blanchette, TU Muenchen

    Copyright   2011

Export Isabelle theories as first-order TPTP inferences, exploiting

Sledgehammer's translation.

*)

signature ATP_EXPORT =

sig

  val theorems_mentioned_in_proof_term :

    string list option -> thm -> string list

  val generate_tptp_graph_file_for_theory :

    Proof.context -> theory -> string -> unit

  val generate_tptp_inference_file_for_theory :

    Proof.context -> theory -> string -> string -> unit

end;

structure ATP_Export : ATP_EXPORT =

struct

open ATP_Problem

open ATP_Translate

val fact_name_of = prefix fact_prefix o ascii_of

fun facts_of thy =

  Sledgehammer_Filter.all_facts (Proof_Context.init_global thy) Symtab.empty

                                true [] []

(* FIXME: Similar yet different code in "mirabelle.ML". The code here has a few

   fixes that seem to be missing over there; or maybe the two code portions are

   not doing the same? *)

fun fold_body_thms all_names f =

  let

    fun app n (PBody {thms, ...}) =

      thms |> fold (fn (_, (name, prop, body)) => fn x =>

        let

          val body' = Future.join body

          val n' =

            n + (if name = "" orelse

                    (is_some all_names andalso

                     not (member (op =) (the all_names) name)) then

                   0

                 else

                   1)

          val x' = x |> n' <= 1 ? app n' body'

        in (x' |> n = 1 ? f (name, prop, body')) end)

  in fold (app 0) end

fun theorems_mentioned_in_proof_term all_names thm =

  let

    fun collect (s, _, _) = if s <> "" then insert (op =) s else I

    val names =

      [] |> fold_body_thms all_names collect [Thm.proof_body_of thm]

         |> map fact_name_of

  in names end

fun interesting_const_names ctxt =

  let val thy = Proof_Context.theory_of ctxt in

    Sledgehammer_Filter.const_names_in_fact thy

        (Sledgehammer_Provers.is_built_in_const_for_prover ctxt ATP_Systems.eN)

  end

fun generate_tptp_graph_file_for_theory ctxt thy file_name =

  let

    val path = file_name |> Path.explode

    val _ = File.write path ""

    val axioms = Theory.all_axioms_of thy |> map fst

    fun do_thm thm =

      let

        val name = Thm.get_name_hint thm

        val s =

          "[" ^ Thm.legacy_get_kind thm ^ "] " ^

          (if member (op =) axioms name then "A" else "T") ^ " " ^

          prefix fact_prefix (ascii_of name) ^ ": " ^

          commas (theorems_mentioned_in_proof_term NONE thm) ^ "; " ^

          commas (map (prefix const_prefix o ascii_of)

                      (interesting_const_names ctxt (Thm.prop_of thm))) ^ " \n"

      in File.append path s end

    val thms = facts_of thy |> map snd

    val _ = map do_thm thms

  in () end

fun inference_term [] = NONE

  | inference_term ss =

    ATerm ("inference",

           [ATerm ("isabelle", []),

            ATerm (tptp_empty_list, []),

            ATerm (tptp_empty_list, map (fn s => ATerm (s, [])) ss)])

    |> SOME

fun inference infers ident =

  these (AList.lookup (op =) infers ident) |> inference_term

fun add_inferences_to_problem_line infers

                                   (Formula (ident, Axiom, phi, NONE, NONE)) =

    Formula (ident, Lemma, phi, inference infers ident, NONE)

  | add_inferences_to_problem_line _ line = line

val add_inferences_to_problem =

  map o apsnd o map o add_inferences_to_problem_line

fun ident_of_problem_line (Decl (ident, _, _)) = ident

  | ident_of_problem_line (Formula (ident, _, _, _, _)) = ident

fun generate_tptp_inference_file_for_theory ctxt thy type_sys file_name =

  let

    val format = FOF

    val type_sys = type_sys |> type_sys_from_string

    val path = file_name |> Path.explode

    val _ = File.write path ""

    val facts0 = facts_of thy

    val facts =

      facts0 |> map (fn ((_, loc), th) =>

                        ((Thm.get_name_hint th, loc), prop_of th))

    val (atp_problem, _, _, _, _, _, _) =

      prepare_atp_problem ctxt format Axiom Axiom type_sys true false true []

                          @{prop False} facts

    val all_names = facts0 |> map (Thm.get_name_hint o snd)

    val infers =

      facts0 |> map (fn (_, th) =>

                        (fact_name_of (Thm.get_name_hint th),

                         theorems_mentioned_in_proof_term (SOME all_names) th))

    val all_atp_problem_names =

      atp_problem |> maps (map ident_of_problem_line o snd)

    val infers =

      infers |> map (apsnd (filter (member (op =) all_atp_problem_names)))

    val atp_problem = atp_problem |> add_inferences_to_problem infers

    val ss = tptp_lines_for_atp_problem FOF atp_problem

    val _ = app (File.append path) ss

  in () end

end;