--- /dev/null Thu Jan 01 00:00:00 1970 +0000
+++ b/src/HOL/TPTP/atp_theory_export.ML Mon Jan 23 17:40:32 2012 +0100
@@ -0,0 +1,219 @@
+(* Title: HOL/TPTP/atp_theory_export.ML
+ Author: Jasmin Blanchette, TU Muenchen
+ Copyright 2011
+
+Export Isabelle theories as first-order TPTP inferences, exploiting
+Sledgehammer's translation.
+*)
+
+signature ATP_THEORY_EXPORT =
+sig
+ type atp_format = ATP_Problem.atp_format
+
+ 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 -> atp_format -> string -> string -> unit
+end;
+
+structure ATP_Theory_Export : ATP_THEORY_EXPORT =
+struct
+
+open ATP_Problem
+open ATP_Proof
+open ATP_Problem_Generate
+open ATP_Systems
+
+val fact_name_of = prefix fact_prefix o ascii_of
+
+fun facts_of thy =
+ Sledgehammer_Filter.all_facts (Proof_Context.init_global thy) false
+ Symtab.empty true [] []
+ |> filter (curry (op =) @{typ bool} o fastype_of
+ o Object_Logic.atomize_term thy o prop_of o snd)
+
+(* 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 thm_name 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)) orelse
+ (* uncommon case where the proved theorem occurs twice
+ (e.g., "Transitive_Closure.trancl_into_trancl") *)
+ n = 1 andalso name = thm_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 (Thm.get_name_hint thm) 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 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
+fun add_inferences_to_problem infers =
+ map (apsnd (map (add_inferences_to_problem_line infers)))
+
+fun ident_of_problem_line (Decl (ident, _, _)) = ident
+ | ident_of_problem_line (Formula (ident, _, _, _, _)) = ident
+
+fun run_some_atp ctxt format problem =
+ let
+ val thy = Proof_Context.theory_of ctxt
+ val prob_file = File.tmp_path (Path.explode "prob.tptp")
+ val {exec, arguments, proof_delims, known_failures, ...} =
+ get_atp thy (case format of DFG _ => spassN | _ => eN)
+ val _ = problem |> lines_for_atp_problem format |> File.write_list prob_file
+ val command =
+ File.shell_path (Path.explode (getenv (fst exec) ^ "/" ^ snd exec)) ^
+ " " ^ arguments ctxt false "" (seconds 1.0) (K []) ^ " " ^
+ File.shell_path prob_file
+ in
+ TimeLimit.timeLimit (seconds 0.3) Isabelle_System.bash_output command
+ |> fst
+ |> extract_tstplike_proof_and_outcome false true proof_delims
+ known_failures
+ |> snd
+ end
+ handle TimeLimit.TimeOut => SOME TimedOut
+
+val likely_tautology_prefixes =
+ [@{theory HOL}, @{theory Meson}, @{theory ATP}, @{theory Metis}]
+ |> map (fact_name_of o Context.theory_name)
+
+fun is_problem_line_tautology ctxt format (Formula (ident, _, phi, _, _)) =
+ exists (fn prefix => String.isPrefix prefix ident)
+ likely_tautology_prefixes andalso
+ is_none (run_some_atp ctxt format
+ [(factsN, [Formula (ident, Conjecture, phi, NONE, NONE)])])
+ | is_problem_line_tautology _ _ _ = false
+
+structure String_Graph = Graph(type key = string val ord = string_ord);
+
+fun order_facts ord = sort (ord o pairself ident_of_problem_line)
+fun order_problem_facts _ [] = []
+ | order_problem_facts ord ((heading, lines) :: problem) =
+ if heading = factsN then (heading, order_facts ord lines) :: problem
+ else (heading, lines) :: order_problem_facts ord problem
+
+(* A fairly random selection of types used for monomorphizing. *)
+val ground_types =
+ [@{typ nat}, HOLogic.intT, HOLogic.realT, @{typ "nat => bool"}, @{typ bool},
+ @{typ unit}]
+
+fun ground_type_for_tvar _ [] tvar =
+ raise TYPE ("ground_type_for_sorts", [TVar tvar], [])
+ | ground_type_for_tvar thy (T :: Ts) tvar =
+ if can (Sign.typ_match thy (TVar tvar, T)) Vartab.empty then T
+ else ground_type_for_tvar thy Ts tvar
+
+fun monomorphize_term ctxt t =
+ let val thy = Proof_Context.theory_of ctxt in
+ t |> map_types (map_type_tvar (ground_type_for_tvar thy ground_types))
+ handle TYPE _ => @{prop True}
+ end
+
+fun generate_tptp_inference_file_for_theory ctxt thy format type_enc file_name =
+ let
+ val type_enc = type_enc |> type_enc_from_string Strict
+ |> adjust_type_enc format
+ val mono = polymorphism_of_type_enc type_enc <> Polymorphic
+ val path = file_name |> Path.explode
+ val _ = File.write path ""
+ val facts = facts_of thy
+ val atp_problem =
+ facts
+ |> map (fn ((_, loc), th) =>
+ ((Thm.get_name_hint th, loc),
+ th |> prop_of |> mono ? monomorphize_term ctxt))
+ |> prepare_atp_problem ctxt format Axiom Axiom type_enc true combinatorsN
+ false true [] @{prop False}
+ |> #1
+ val atp_problem =
+ atp_problem
+ |> map (apsnd (filter_out (is_problem_line_tautology ctxt format)))
+ val all_names = facts |> map (Thm.get_name_hint o snd)
+ val infers =
+ facts |> 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 |> filter (member (op =) all_atp_problem_names o fst)
+ |> map (apsnd (filter (member (op =) all_atp_problem_names)))
+ val ordered_names =
+ String_Graph.empty
+ |> fold (String_Graph.new_node o rpair ()) all_atp_problem_names
+ |> fold (fn (to, froms) =>
+ fold (fn from => String_Graph.add_edge (from, to)) froms)
+ infers
+ |> String_Graph.topological_order
+ val order_tab =
+ Symtab.empty
+ |> fold (Symtab.insert (op =))
+ (ordered_names ~~ (1 upto length ordered_names))
+ val name_ord = int_ord o pairself (the o Symtab.lookup order_tab)
+ val atp_problem =
+ atp_problem
+ |> (case format of DFG _ => I | _ => add_inferences_to_problem infers)
+ |> order_problem_facts name_ord
+ val ss = lines_for_atp_problem format atp_problem
+ val _ = app (File.append path) ss
+ in () end
+
+end;