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(* Title: HOL/TPTP/atp_theory_export.ML
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Author: Jasmin Blanchette, TU Muenchen
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Copyright 2011
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Export Isabelle theories as first-order TPTP inferences.
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*)
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signature ATP_THEORY_EXPORT =
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sig
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type atp_format = ATP_Problem.atp_format
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val generate_atp_inference_file_for_theory :
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Proof.context -> theory -> atp_format -> string -> string -> unit
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end;
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structure ATP_Theory_Export : ATP_THEORY_EXPORT =
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struct
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open ATP_Problem
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open ATP_Proof
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open ATP_Problem_Generate
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open ATP_Systems
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val fact_name_of = prefix fact_prefix o ascii_of
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fun inference_term [] = NONE
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| inference_term ss =
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ATerm (("inference", []),
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[ATerm (("isabelle", []), []),
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ATerm ((tptp_empty_list, []), []),
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ATerm ((tptp_empty_list, []),
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map (fn s => ATerm ((s, []), [])) ss)])
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|> SOME
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fun inference infers ident =
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these (AList.lookup (op =) infers ident) |> inference_term
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fun add_inferences_to_problem_line infers
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(Formula (ident, Axiom, phi, NONE, tms)) =
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Formula (ident, Lemma, phi, inference infers ident, tms)
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| add_inferences_to_problem_line _ line = line
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fun add_inferences_to_problem infers =
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map (apsnd (map (add_inferences_to_problem_line infers)))
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fun ident_of_problem_line (Class_Decl (ident, _, _)) = ident
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| ident_of_problem_line (Type_Decl (ident, _, _)) = ident
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| ident_of_problem_line (Sym_Decl (ident, _, _)) = ident
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| ident_of_problem_line (Class_Memb (ident, _, _, _)) = ident
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| ident_of_problem_line (Formula (ident, _, _, _, _)) = ident
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fun atp_for_format (THF (Polymorphic, _, _, _)) = dummy_thfN
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| atp_for_format (THF (Monomorphic, _, _, _)) = satallaxN
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| atp_for_format (DFG Polymorphic) = spass_polyN
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| atp_for_format (DFG Monomorphic) = spassN
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| atp_for_format (TFF (Polymorphic, _)) = alt_ergoN
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| atp_for_format (TFF (Monomorphic, _)) = vampireN
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| atp_for_format FOF = eN
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| atp_for_format CNF_UEQ = waldmeisterN
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| atp_for_format CNF = eN
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fun run_some_atp ctxt format problem =
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let
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val thy = Proof_Context.theory_of ctxt
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val prob_file = File.tmp_path (Path.explode "prob")
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val atp = atp_for_format format
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val {exec, arguments, proof_delims, known_failures, ...} =
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get_atp thy atp ()
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val ord = effective_term_order ctxt atp
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val _ = problem |> lines_for_atp_problem format ord (K [])
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|> File.write_list prob_file
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val path = getenv (List.last (fst exec)) ^ "/" ^ List.last (snd exec)
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val command =
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File.shell_path (Path.explode path) ^
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" " ^ arguments ctxt false "" (seconds 1.0) (ord, K [], K []) ^ " " ^
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File.shell_path prob_file
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in
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TimeLimit.timeLimit (seconds 0.3) Isabelle_System.bash_output command
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|> fst
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|> extract_tstplike_proof_and_outcome false true proof_delims known_failures
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|> snd
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end
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handle TimeLimit.TimeOut => SOME TimedOut
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val tautology_prefixes =
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[@{theory HOL}, @{theory Meson}, @{theory ATP}, @{theory Metis}]
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|> map (fact_name_of o Context.theory_name)
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fun is_problem_line_tautology ctxt format (Formula (ident, _, phi, _, _)) =
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exists (fn prefix => String.isPrefix prefix ident)
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tautology_prefixes andalso
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is_none (run_some_atp ctxt format
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[(factsN, [Formula (ident, Conjecture, phi, NONE, [])])])
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| is_problem_line_tautology _ _ _ = false
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fun order_facts ord = sort (ord o pairself ident_of_problem_line)
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fun order_problem_facts _ [] = []
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| order_problem_facts ord ((heading, lines) :: problem) =
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if heading = factsN then (heading, order_facts ord lines) :: problem
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else (heading, lines) :: order_problem_facts ord problem
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(* A fairly random selection of types used for monomorphizing. *)
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val ground_types =
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[@{typ nat}, HOLogic.intT, HOLogic.realT, @{typ "nat => bool"}, @{typ bool},
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@{typ unit}]
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fun ground_type_for_tvar _ [] tvar =
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raise TYPE ("ground_type_for_sorts", [TVar tvar], [])
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| ground_type_for_tvar thy (T :: Ts) tvar =
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if can (Sign.typ_match thy (TVar tvar, T)) Vartab.empty then T
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else ground_type_for_tvar thy Ts tvar
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fun monomorphize_term ctxt t =
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let val thy = Proof_Context.theory_of ctxt in
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t |> map_types (map_type_tvar (ground_type_for_tvar thy ground_types))
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handle TYPE _ => @{prop True}
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end
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fun generate_atp_inference_file_for_theory ctxt thy format type_enc file_name =
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let
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val css_table = Sledgehammer_Fact.clasimpset_rule_table_of ctxt
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val type_enc =
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type_enc |> type_enc_from_string Strict
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|> adjust_type_enc format
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val mono = not (is_type_enc_polymorphic type_enc)
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val path = file_name |> Path.explode
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val _ = File.write path ""
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val facts =
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Sledgehammer_Fact.all_facts (Proof_Context.init_global thy) false
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Symtab.empty [] [] css_table
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val atp_problem =
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facts
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|> map (fn ((_, loc), th) =>
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((Thm.get_name_hint th, loc),
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th |> prop_of |> mono ? monomorphize_term ctxt))
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|> prepare_atp_problem ctxt format Axiom type_enc Exporter combsN false
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false true [] @{prop False}
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|> #1
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val atp_problem =
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atp_problem
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|> map (apsnd (filter_out (is_problem_line_tautology ctxt format)))
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val ths = facts |> map snd
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val all_names = ths |> map (rpair () o Thm.get_name_hint) |> Symtab.make
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val infers =
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facts |> map (fn (_, th) =>
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(fact_name_of (Thm.get_name_hint th),
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th |> Sledgehammer_Util.thms_in_proof (SOME all_names)
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|> map fact_name_of))
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val all_atp_problem_names =
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atp_problem |> maps (map ident_of_problem_line o snd)
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val infers =
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infers |> filter (member (op =) all_atp_problem_names o fst)
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|> map (apsnd (filter (member (op =) all_atp_problem_names)))
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val ordered_names =
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String_Graph.empty
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|> fold (String_Graph.new_node o rpair ()) all_atp_problem_names
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|> fold (fn (to, froms) =>
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fold (fn from => String_Graph.add_edge (from, to)) froms)
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infers
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|> String_Graph.topological_order
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val order_tab =
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Symtab.empty
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|> fold (Symtab.insert (op =))
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(ordered_names ~~ (1 upto length ordered_names))
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val name_ord = int_ord o pairself (the o Symtab.lookup order_tab)
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val atp_problem =
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atp_problem
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|> (case format of DFG _ => I | _ => add_inferences_to_problem infers)
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|> order_problem_facts name_ord
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val ord = effective_term_order ctxt eN (* dummy *)
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val ss = lines_for_atp_problem format ord (K []) atp_problem
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val _ = app (File.append path) ss
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in () end
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end;
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