author | blanchet |
Tue, 06 Nov 2012 15:15:33 +0100 | |
changeset 50020 | 6b9611abcd4c |
parent 50019 | 930a10e674ef |
child 50048 | fb024bbf4b65 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/Sledgehammer/sledgehammer_reconstruct.ML |
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Author: Jasmin Blanchette, TU Muenchen |
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Author: Steffen Juilf Smolka, TU Muenchen |
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Isar proof reconstruction from ATP proofs. |
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*) |
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signature SLEDGEHAMMER_PROOF_RECONSTRUCT = |
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sig |
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type 'a proof = 'a ATP_Proof.proof |
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type stature = ATP_Problem_Generate.stature |
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datatype reconstructor = |
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Metis of string * string | |
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SMT |
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datatype play = |
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Played of reconstructor * Time.time | |
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Trust_Playable of reconstructor * Time.time option | |
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Failed_to_Play of reconstructor |
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type minimize_command = string list -> string |
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type one_line_params = |
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play * string * (string * stature) list * minimize_command * int * int |
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type isar_params = |
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bool * bool * Time.time * real * string Symtab.table |
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* (string * stature) list vector * int Symtab.table * string proof * thm |
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val smtN : string |
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val string_for_reconstructor : reconstructor -> string |
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val thms_of_name : Proof.context -> string -> thm list |
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val lam_trans_from_atp_proof : string proof -> string -> string |
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val is_typed_helper_used_in_atp_proof : string proof -> bool |
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val used_facts_in_atp_proof : |
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Proof.context -> (string * stature) list vector -> string proof -> |
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(string * stature) list |
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val used_facts_in_unsound_atp_proof : |
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Proof.context -> (string * stature) list vector -> 'a proof -> |
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string list option |
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val one_line_proof_text : int -> one_line_params -> string |
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val isar_proof_text : |
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Proof.context -> bool -> isar_params -> one_line_params -> string |
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val proof_text : |
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Proof.context -> bool -> isar_params -> int -> one_line_params -> string |
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end; |
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structure Sledgehammer_Reconstruct : SLEDGEHAMMER_PROOF_RECONSTRUCT = |
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struct |
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open ATP_Util |
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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_Proof_Reconstruct |
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open Sledgehammer_Util |
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structure String_Redirect = ATP_Proof_Redirect( |
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type key = step_name |
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val ord = fn ((s, _ : string list), (s', _)) => fast_string_ord (s, s') |
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val string_of = fst) |
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open String_Redirect |
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(** reconstructors **) |
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datatype reconstructor = |
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Metis of string * string | |
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SMT |
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datatype play = |
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Played of reconstructor * Time.time | |
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Trust_Playable of reconstructor * Time.time option | |
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Failed_to_Play of reconstructor |
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val smtN = "smt" |
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fun string_for_reconstructor (Metis (type_enc, lam_trans)) = |
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metis_call type_enc lam_trans |
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| string_for_reconstructor SMT = smtN |
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fun thms_of_name ctxt name = |
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let |
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val lex = Keyword.get_lexicons |
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val get = maps (Proof_Context.get_fact ctxt o fst) |
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in |
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Source.of_string name |
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|> Symbol.source |
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|> Token.source {do_recover = SOME false} lex Position.start |
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|> Token.source_proper |
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|> Source.source Token.stopper (Parse_Spec.xthms1 >> get) NONE |
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|> Source.exhaust |
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end |
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(** fact extraction from ATP proofs **) |
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fun find_first_in_list_vector vec key = |
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Vector.foldl (fn (ps, NONE) => AList.lookup (op =) ps key |
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| (_, value) => value) NONE vec |
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val unprefix_fact_number = space_implode "_" o tl o space_explode "_" |
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fun resolve_one_named_fact fact_names s = |
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case try (unprefix fact_prefix) s of |
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SOME s' => |
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let val s' = s' |> unprefix_fact_number |> unascii_of in |
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s' |> find_first_in_list_vector fact_names |> Option.map (pair s') |
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end |
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| NONE => NONE |
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fun resolve_fact fact_names = map_filter (resolve_one_named_fact fact_names) |
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fun is_fact fact_names = not o null o resolve_fact fact_names |
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fun resolve_one_named_conjecture s = |
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case try (unprefix conjecture_prefix) s of |
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SOME s' => Int.fromString s' |
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| NONE => NONE |
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val resolve_conjecture = map_filter resolve_one_named_conjecture |
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val is_conjecture = not o null o resolve_conjecture |
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val ascii_of_lam_fact_prefix = ascii_of lam_fact_prefix |
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(* overapproximation (good enough) *) |
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fun is_lam_lifted s = |
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String.isPrefix fact_prefix s andalso |
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String.isSubstring ascii_of_lam_fact_prefix s |
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val is_combinator_def = String.isPrefix (helper_prefix ^ combinator_prefix) |
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fun is_axiom_used_in_proof pred = |
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exists (fn Inference_Step ((_, ss), _, _, _, []) => exists pred ss |
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| _ => false) |
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fun lam_trans_from_atp_proof atp_proof default = |
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case (is_axiom_used_in_proof is_combinator_def atp_proof, |
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is_axiom_used_in_proof is_lam_lifted atp_proof) of |
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(false, false) => default |
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| (false, true) => liftingN |
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(* | (true, true) => combs_and_liftingN -- not supported by "metis" *) |
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| (true, _) => combsN |
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val is_typed_helper_name = |
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String.isPrefix helper_prefix andf String.isSuffix typed_helper_suffix |
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fun is_typed_helper_used_in_atp_proof atp_proof = |
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is_axiom_used_in_proof is_typed_helper_name atp_proof |
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fun add_non_rec_defs fact_names accum = |
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Vector.foldl (fn (facts, facts') => |
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union (op =) (filter (fn (_, (_, status)) => status = Non_Rec_Def) facts) |
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facts') |
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accum fact_names |
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val isa_ext = Thm.get_name_hint @{thm ext} |
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val isa_short_ext = Long_Name.base_name isa_ext |
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fun ext_name ctxt = |
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if Thm.eq_thm_prop (@{thm ext}, |
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singleton (Attrib.eval_thms ctxt) (Facts.named isa_short_ext, [])) then |
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isa_short_ext |
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else |
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isa_ext |
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val leo2_ext = "extcnf_equal_neg" |
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val leo2_unfold_def = "unfold_def" |
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fun add_fact ctxt fact_names (Inference_Step ((_, ss), _, _, rule, deps)) = |
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(if rule = leo2_ext then |
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insert (op =) (ext_name ctxt, (Global, General)) |
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else if rule = leo2_unfold_def then |
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(* LEO 1.3.3 does not record definitions properly, leading to missing |
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dependencies in the TSTP proof. Remove the next line once this is |
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fixed. *) |
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add_non_rec_defs fact_names |
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else if rule = satallax_coreN then |
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(fn [] => |
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(* Satallax doesn't include definitions in its unsatisfiable cores, |
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so we assume the worst and include them all here. *) |
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[(ext_name ctxt, (Global, General))] |> add_non_rec_defs fact_names |
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| facts => facts) |
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else |
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I) |
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#> (if null deps then union (op =) (resolve_fact fact_names ss) |
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else I) |
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| add_fact _ _ _ = I |
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fun used_facts_in_atp_proof ctxt fact_names atp_proof = |
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if null atp_proof then Vector.foldl (uncurry (union (op =))) [] fact_names |
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else fold (add_fact ctxt fact_names) atp_proof [] |
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fun used_facts_in_unsound_atp_proof _ _ [] = NONE |
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| used_facts_in_unsound_atp_proof ctxt fact_names atp_proof = |
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let val used_facts = used_facts_in_atp_proof ctxt fact_names atp_proof in |
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if forall (fn (_, (sc, _)) => sc = Global) used_facts andalso |
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not (is_axiom_used_in_proof (is_conjecture o single) atp_proof) then |
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SOME (map fst used_facts) |
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else |
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NONE |
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end |
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(** one-liner reconstructor proofs **) |
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fun string_for_label (s, num) = s ^ string_of_int num |
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fun show_time NONE = "" |
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| show_time (SOME ext_time) = " (" ^ string_from_ext_time ext_time ^ ")" |
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(* FIXME: Various bugs, esp. with "unfolding" |
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fun unusing_chained_facts _ 0 = "" |
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| unusing_chained_facts used_chaineds num_chained = |
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if length used_chaineds = num_chained then "" |
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else if null used_chaineds then "(* using no facts *) " |
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else "(* using only " ^ space_implode " " used_chaineds ^ " *) " |
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*) |
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fun apply_on_subgoal _ 1 = "by " |
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| apply_on_subgoal 1 _ = "apply " |
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| apply_on_subgoal i n = |
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"prefer " ^ string_of_int i ^ " " ^ apply_on_subgoal 1 n |
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fun using_labels [] = "" |
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| using_labels ls = |
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"using " ^ space_implode " " (map string_for_label ls) ^ " " |
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fun command_call name [] = |
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name |> not (Lexicon.is_identifier name) ? enclose "(" ")" |
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| command_call name args = "(" ^ name ^ " " ^ space_implode " " args ^ ")" |
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fun reconstructor_command reconstr i n used_chaineds num_chained (ls, ss) = |
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(* unusing_chained_facts used_chaineds num_chained ^ *) |
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using_labels ls ^ apply_on_subgoal i n ^ |
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command_call (string_for_reconstructor reconstr) ss |
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fun try_command_line banner time command = |
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banner ^ ": " ^ Markup.markup Isabelle_Markup.sendback command ^ |
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show_time time ^ "." |
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fun minimize_line _ [] = "" |
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| minimize_line minimize_command ss = |
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case minimize_command ss of |
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"" => "" |
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| command => |
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"\nTo minimize: " ^ Markup.markup Isabelle_Markup.sendback command ^ "." |
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fun split_used_facts facts = |
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facts |> List.partition (fn (_, (sc, _)) => sc = Chained) |
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|> pairself (sort_distinct (string_ord o pairself fst)) |
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type minimize_command = string list -> string |
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type one_line_params = |
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play * string * (string * stature) list * minimize_command * int * int |
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fun one_line_proof_text num_chained |
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(preplay, banner, used_facts, minimize_command, subgoal, |
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subgoal_count) = |
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let |
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val (chained, extra) = split_used_facts used_facts |
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val (failed, reconstr, ext_time) = |
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case preplay of |
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Played (reconstr, time) => (false, reconstr, (SOME (false, time))) |
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| Trust_Playable (reconstr, time) => |
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(false, reconstr, |
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case time of |
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NONE => NONE |
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| SOME time => |
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if time = Time.zeroTime then NONE else SOME (true, time)) |
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| Failed_to_Play reconstr => (true, reconstr, NONE) |
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val try_line = |
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([], map fst extra) |
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|> reconstructor_command reconstr subgoal subgoal_count (map fst chained) |
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num_chained |
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|> (if failed then |
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enclose "One-line proof reconstruction failed: " |
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".\n(Invoking \"sledgehammer\" with \"[strict]\" might \ |
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\solve this.)" |
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else |
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try_command_line banner ext_time) |
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in try_line ^ minimize_line minimize_command (map fst (extra @ chained)) end |
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(** Isar proof construction and manipulation **) |
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type label = string * int |
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type facts = label list * string list |
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datatype isar_qualifier = Show | Then | Moreover | Ultimately |
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datatype isar_step = |
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Fix of (string * typ) list | |
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Let of term * term | |
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Assume of label * term | |
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Prove of isar_qualifier list * label * term * byline |
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and byline = |
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By_Metis of facts | |
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Case_Split of isar_step list list * facts |
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val assume_prefix = "a" |
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val have_prefix = "f" |
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val raw_prefix = "x" |
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fun raw_label_for_name (num, ss) = |
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case resolve_conjecture ss of |
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[j] => (conjecture_prefix, j) |
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| _ => (raw_prefix ^ ascii_of num, 0) |
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fun label_of_clause [name] = raw_label_for_name name |
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| label_of_clause c = (space_implode "___" (map fst c), 0) |
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fun add_fact_from_dependencies fact_names (names as [(_, ss)]) = |
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if is_fact fact_names ss then |
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apsnd (union (op =) (map fst (resolve_fact fact_names ss))) |
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else |
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apfst (insert (op =) (label_of_clause names)) |
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| add_fact_from_dependencies fact_names names = |
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apfst (insert (op =) (label_of_clause names)) |
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fun repair_name "$true" = "c_True" |
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| repair_name "$false" = "c_False" |
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| repair_name "$$e" = tptp_equal (* seen in Vampire proofs *) |
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| repair_name s = |
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if is_tptp_equal s orelse |
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(* seen in Vampire proofs *) |
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(String.isPrefix "sQ" s andalso String.isSuffix "_eqProxy" s) then |
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tptp_equal |
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else |
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s |
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fun unvarify_term (Var ((s, 0), T)) = Free (s, T) |
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| unvarify_term t = raise TERM ("unvarify_term: non-Var", [t]) |
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fun infer_formula_types ctxt = |
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Type.constraint HOLogic.boolT |
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#> Syntax.check_term |
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(Proof_Context.set_mode Proof_Context.mode_schematic ctxt) |
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val combinator_table = |
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[(@{const_name Meson.COMBI}, @{thm Meson.COMBI_def [abs_def]}), |
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(@{const_name Meson.COMBK}, @{thm Meson.COMBK_def [abs_def]}), |
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(@{const_name Meson.COMBB}, @{thm Meson.COMBB_def [abs_def]}), |
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(@{const_name Meson.COMBC}, @{thm Meson.COMBC_def [abs_def]}), |
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(@{const_name Meson.COMBS}, @{thm Meson.COMBS_def [abs_def]})] |
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fun uncombine_term thy = |
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let |
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fun aux (t1 $ t2) = betapply (pairself aux (t1, t2)) |
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| aux (Abs (s, T, t')) = Abs (s, T, aux t') |
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| aux (t as Const (x as (s, _))) = |
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(case AList.lookup (op =) combinator_table s of |
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SOME thm => thm |> prop_of |> specialize_type thy x |
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|> Logic.dest_equals |> snd |
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| NONE => t) |
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| aux t = t |
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in aux end |
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fun decode_line sym_tab (Definition_Step (name, phi1, phi2)) ctxt = |
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let |
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val thy = Proof_Context.theory_of ctxt |
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val t1 = prop_from_atp ctxt true sym_tab phi1 |
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val vars = snd (strip_comb t1) |
|
361 |
val frees = map unvarify_term vars |
|
362 |
val unvarify_args = subst_atomic (vars ~~ frees) |
|
363 |
val t2 = prop_from_atp ctxt true sym_tab phi2 |
|
364 |
val (t1, t2) = |
|
365 |
HOLogic.eq_const HOLogic.typeT $ t1 $ t2 |
|
366 |
|> unvarify_args |> uncombine_term thy |> infer_formula_types ctxt |
|
367 |
|> HOLogic.dest_eq |
|
368 |
in |
|
369 |
(Definition_Step (name, t1, t2), |
|
370 |
fold Variable.declare_term (maps Misc_Legacy.term_frees [t1, t2]) ctxt) |
|
371 |
end |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
372 |
| decode_line sym_tab (Inference_Step (name, role, u, rule, deps)) ctxt = |
49914 | 373 |
let |
374 |
val thy = Proof_Context.theory_of ctxt |
|
375 |
val t = u |> prop_from_atp ctxt true sym_tab |
|
376 |
|> uncombine_term thy |> infer_formula_types ctxt |
|
377 |
in |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
378 |
(Inference_Step (name, role, t, rule, deps), |
49914 | 379 |
fold Variable.declare_term (Misc_Legacy.term_frees t) ctxt) |
380 |
end |
|
381 |
fun decode_lines ctxt sym_tab lines = |
|
382 |
fst (fold_map (decode_line sym_tab) lines ctxt) |
|
383 |
||
384 |
fun replace_one_dependency (old, new) dep = |
|
385 |
if is_same_atp_step dep old then new else [dep] |
|
386 |
fun replace_dependencies_in_line _ (line as Definition_Step _) = line |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
387 |
| replace_dependencies_in_line p |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
388 |
(Inference_Step (name, role, t, rule, deps)) = |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
389 |
Inference_Step (name, role, t, rule, |
49914 | 390 |
fold (union (op =) o replace_one_dependency p) deps []) |
391 |
||
392 |
(* No "real" literals means only type information (tfree_tcs, clsrel, or |
|
393 |
clsarity). *) |
|
394 |
fun is_only_type_information t = t aconv @{term True} |
|
395 |
||
396 |
fun is_same_inference _ (Definition_Step _) = false |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
397 |
| is_same_inference t (Inference_Step (_, _, t', _, _)) = t aconv t' |
49914 | 398 |
|
399 |
(* Discard facts; consolidate adjacent lines that prove the same formula, since |
|
400 |
they differ only in type information.*) |
|
401 |
fun add_line _ (line as Definition_Step _) lines = line :: lines |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
402 |
| add_line fact_names (Inference_Step (name as (_, ss), role, t, rule, [])) |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
403 |
lines = |
49914 | 404 |
(* No dependencies: fact, conjecture, or (for Vampire) internal facts or |
405 |
definitions. *) |
|
406 |
if is_fact fact_names ss then |
|
407 |
(* Facts are not proof lines. *) |
|
408 |
if is_only_type_information t then |
|
409 |
map (replace_dependencies_in_line (name, [])) lines |
|
410 |
(* Is there a repetition? If so, replace later line by earlier one. *) |
|
411 |
else case take_prefix (not o is_same_inference t) lines of |
|
412 |
(_, []) => lines (* no repetition of proof line *) |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
413 |
| (pre, Inference_Step (name', _, _, _, _) :: post) => |
49914 | 414 |
pre @ map (replace_dependencies_in_line (name', [name])) post |
415 |
| _ => raise Fail "unexpected inference" |
|
416 |
else if is_conjecture ss then |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
417 |
Inference_Step (name, role, t, rule, []) :: lines |
49914 | 418 |
else |
419 |
map (replace_dependencies_in_line (name, [])) lines |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
420 |
| add_line _ (Inference_Step (name, role, t, rule, deps)) lines = |
49914 | 421 |
(* Type information will be deleted later; skip repetition test. *) |
422 |
if is_only_type_information t then |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
423 |
Inference_Step (name, role, t, rule, deps) :: lines |
49914 | 424 |
(* Is there a repetition? If so, replace later line by earlier one. *) |
425 |
else case take_prefix (not o is_same_inference t) lines of |
|
426 |
(* FIXME: Doesn't this code risk conflating proofs involving different |
|
427 |
types? *) |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
428 |
(_, []) => Inference_Step (name, role, t, rule, deps) :: lines |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
429 |
| (pre, Inference_Step (name', role, t', rule, _) :: post) => |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
430 |
Inference_Step (name, role, t', rule, deps) :: |
49914 | 431 |
pre @ map (replace_dependencies_in_line (name', [name])) post |
432 |
| _ => raise Fail "unexpected inference" |
|
433 |
||
434 |
val waldmeister_conjecture_num = "1.0.0.0" |
|
435 |
||
436 |
val repair_waldmeister_endgame = |
|
437 |
let |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
438 |
fun do_tail (Inference_Step (name, role, t, rule, deps)) = |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
439 |
Inference_Step (name, role, s_not t, rule, deps) |
49914 | 440 |
| do_tail line = line |
441 |
fun do_body [] = [] |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
442 |
| do_body ((line as Inference_Step ((num, _), _, _, _, _)) :: lines) = |
49914 | 443 |
if num = waldmeister_conjecture_num then map do_tail (line :: lines) |
444 |
else line :: do_body lines |
|
445 |
| do_body (line :: lines) = line :: do_body lines |
|
446 |
in do_body end |
|
447 |
||
448 |
(* Recursively delete empty lines (type information) from the proof. *) |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
449 |
fun add_nontrivial_line (line as Inference_Step (name, _, t, _, [])) lines = |
49914 | 450 |
if is_only_type_information t then delete_dependency name lines |
451 |
else line :: lines |
|
452 |
| add_nontrivial_line line lines = line :: lines |
|
453 |
and delete_dependency name lines = |
|
454 |
fold_rev add_nontrivial_line |
|
455 |
(map (replace_dependencies_in_line (name, [])) lines) [] |
|
456 |
||
457 |
(* ATPs sometimes reuse free variable names in the strangest ways. Removing |
|
458 |
offending lines often does the trick. *) |
|
459 |
fun is_bad_free frees (Free x) = not (member (op =) frees x) |
|
460 |
| is_bad_free _ _ = false |
|
461 |
||
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
462 |
fun add_desired_line _ _ (line as Definition_Step (name, _, _)) (j, lines) = |
49914 | 463 |
(j, line :: map (replace_dependencies_in_line (name, [])) lines) |
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
464 |
| add_desired_line fact_names frees |
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
465 |
(Inference_Step (name as (_, ss), role, t, rule, deps)) (j, lines) = |
49914 | 466 |
(j + 1, |
467 |
if is_fact fact_names ss orelse |
|
468 |
is_conjecture ss orelse |
|
469 |
(* the last line must be kept *) |
|
470 |
j = 0 orelse |
|
471 |
(not (is_only_type_information t) andalso |
|
472 |
null (Term.add_tvars t []) andalso |
|
473 |
not (exists_subterm (is_bad_free frees) t) andalso |
|
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
474 |
length deps >= 2 andalso |
49914 | 475 |
(* kill next to last line, which usually results in a trivial step *) |
476 |
j <> 1) then |
|
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
477 |
Inference_Step (name, role, t, rule, deps) :: lines (* keep line *) |
49914 | 478 |
else |
479 |
map (replace_dependencies_in_line (name, deps)) lines) (* drop line *) |
|
480 |
||
49883 | 481 |
(** Type annotations **) |
482 |
||
483 |
fun post_traverse_term_type' f _ (t as Const (_, T)) s = f t T s |
|
484 |
| post_traverse_term_type' f _ (t as Free (_, T)) s = f t T s |
|
485 |
| post_traverse_term_type' f _ (t as Var (_, T)) s = f t T s |
|
486 |
| post_traverse_term_type' f env (t as Bound i) s = f t (nth env i) s |
|
487 |
| post_traverse_term_type' f env (Abs (x, T1, b)) s = |
|
488 |
let |
|
489 |
val ((b', s'), T2) = post_traverse_term_type' f (T1 :: env) b s |
|
490 |
in f (Abs (x, T1, b')) (T1 --> T2) s' end |
|
491 |
| post_traverse_term_type' f env (u $ v) s = |
|
492 |
let |
|
493 |
val ((u', s'), Type (_, [_, T])) = post_traverse_term_type' f env u s |
|
494 |
val ((v', s''), _) = post_traverse_term_type' f env v s' |
|
495 |
in f (u' $ v') T s'' end |
|
496 |
||
497 |
fun post_traverse_term_type f s t = |
|
498 |
post_traverse_term_type' (fn t => fn T => fn s => (f t T s, T)) [] t s |> fst |
|
499 |
fun post_fold_term_type f s t = |
|
500 |
post_traverse_term_type (fn t => fn T => fn s => (t, f t T s)) s t |> snd |
|
501 |
||
502 |
(* Data structures, orders *) |
|
503 |
val cost_ord = prod_ord int_ord (prod_ord int_ord int_ord) |
|
504 |
||
505 |
structure Var_Set_Tab = Table( |
|
506 |
type key = indexname list |
|
507 |
val ord = list_ord Term_Ord.fast_indexname_ord) |
|
508 |
||
509 |
(* (1) Generalize Types *) |
|
510 |
fun generalize_types ctxt t = |
|
511 |
t |> map_types (fn _ => dummyT) |
|
512 |
|> Syntax.check_term |
|
513 |
(Proof_Context.set_mode Proof_Context.mode_pattern ctxt) |
|
514 |
||
515 |
(* (2) Typing-spot Table *) |
|
516 |
local |
|
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
517 |
fun key_of_atype (TVar (z, _)) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
518 |
Ord_List.insert Term_Ord.fast_indexname_ord z |
49883 | 519 |
| key_of_atype _ = I |
520 |
fun key_of_type T = fold_atyps key_of_atype T [] |
|
521 |
fun update_tab t T (tab, pos) = |
|
522 |
(case key_of_type T of |
|
523 |
[] => tab |
|
524 |
| key => |
|
525 |
let val cost = (size_of_typ T, (size_of_term t, pos)) in |
|
526 |
case Var_Set_Tab.lookup tab key of |
|
527 |
NONE => Var_Set_Tab.update_new (key, cost) tab |
|
528 |
| SOME old_cost => |
|
529 |
(case cost_ord (cost, old_cost) of |
|
530 |
LESS => Var_Set_Tab.update (key, cost) tab |
|
531 |
| _ => tab) |
|
532 |
end, |
|
533 |
pos + 1) |
|
534 |
in |
|
535 |
val typing_spot_table = |
|
536 |
post_fold_term_type update_tab (Var_Set_Tab.empty, 0) #> fst |
|
537 |
end |
|
538 |
||
539 |
(* (3) Reverse-Greedy *) |
|
540 |
fun reverse_greedy typing_spot_tab = |
|
541 |
let |
|
542 |
fun update_count z = |
|
543 |
fold (fn tvar => fn tab => |
|
544 |
let val c = Vartab.lookup tab tvar |> the_default 0 in |
|
545 |
Vartab.update (tvar, c + z) tab |
|
546 |
end) |
|
547 |
fun superfluous tcount = |
|
548 |
forall (fn tvar => the (Vartab.lookup tcount tvar) > 1) |
|
549 |
fun drop_superfluous (tvars, (_, (_, spot))) (spots, tcount) = |
|
550 |
if superfluous tcount tvars then (spots, update_count ~1 tvars tcount) |
|
551 |
else (spot :: spots, tcount) |
|
552 |
val (typing_spots, tvar_count_tab) = |
|
553 |
Var_Set_Tab.fold |
|
554 |
(fn kv as (k, _) => apfst (cons kv) #> apsnd (update_count 1 k)) |
|
555 |
typing_spot_tab ([], Vartab.empty) |
|
556 |
|>> sort_distinct (rev_order o cost_ord o pairself snd) |
|
557 |
in fold drop_superfluous typing_spots ([], tvar_count_tab) |> fst end |
|
558 |
||
559 |
(* (4) Introduce Annotations *) |
|
560 |
fun introduce_annotations thy spots t t' = |
|
561 |
let |
|
562 |
val get_types = post_fold_term_type (K cons) [] |
|
563 |
fun match_types tp = |
|
564 |
fold (Sign.typ_match thy) (op ~~ (pairself get_types tp)) Vartab.empty |
|
565 |
fun unica' b x [] = if b then [x] else [] |
|
566 |
| unica' b x (y :: ys) = |
|
567 |
if x = y then unica' false x ys |
|
568 |
else unica' true y ys |> b ? cons x |
|
569 |
fun unica ord xs = |
|
570 |
case sort ord xs of x :: ys => unica' true x ys | [] => [] |
|
571 |
val add_all_tfree_namesT = fold_atyps (fn TFree (x, _) => cons x | _ => I) |
|
572 |
fun erase_unica_tfrees env = |
|
573 |
let |
|
574 |
val unica = |
|
575 |
Vartab.fold (add_all_tfree_namesT o snd o snd) env [] |
|
576 |
|> unica fast_string_ord |
|
577 |
val erase_unica = map_atyps |
|
578 |
(fn T as TFree (s, _) => |
|
579 |
if Ord_List.member fast_string_ord unica s then dummyT else T |
|
580 |
| T => T) |
|
581 |
in Vartab.map (K (apsnd erase_unica)) env end |
|
582 |
val env = match_types (t', t) |> erase_unica_tfrees |
|
583 |
fun get_annot env (TFree _) = (false, (env, dummyT)) |
|
584 |
| get_annot env (T as TVar (v, S)) = |
|
585 |
let val T' = Envir.subst_type env T in |
|
586 |
if T' = dummyT then (false, (env, dummyT)) |
|
587 |
else (true, (Vartab.update (v, (S, dummyT)) env, T')) |
|
588 |
end |
|
589 |
| get_annot env (Type (S, Ts)) = |
|
590 |
(case fold_rev (fn T => fn (b, (env, Ts)) => |
|
591 |
let |
|
592 |
val (b', (env', T)) = get_annot env T |
|
593 |
in (b orelse b', (env', T :: Ts)) end) |
|
594 |
Ts (false, (env, [])) of |
|
595 |
(true, (env', Ts)) => (true, (env', Type (S, Ts))) |
|
596 |
| (false, (env', _)) => (false, (env', dummyT))) |
|
597 |
fun post1 _ T (env, cp, ps as p :: ps', annots) = |
|
598 |
if p <> cp then |
|
599 |
(env, cp + 1, ps, annots) |
|
600 |
else |
|
601 |
let val (_, (env', T')) = get_annot env T in |
|
602 |
(env', cp + 1, ps', (p, T') :: annots) |
|
603 |
end |
|
604 |
| post1 _ _ accum = accum |
|
605 |
val (_, _, _, annots) = post_fold_term_type post1 (env, 0, spots, []) t' |
|
606 |
fun post2 t _ (cp, annots as (p, T) :: annots') = |
|
607 |
if p <> cp then (t, (cp + 1, annots)) |
|
608 |
else (Type.constraint T t, (cp + 1, annots')) |
|
609 |
| post2 t _ x = (t, x) |
|
610 |
in post_traverse_term_type post2 (0, rev annots) t |> fst end |
|
611 |
||
612 |
(* (5) Annotate *) |
|
613 |
fun annotate_types ctxt t = |
|
614 |
let |
|
615 |
val thy = Proof_Context.theory_of ctxt |
|
616 |
val t' = generalize_types ctxt t |
|
617 |
val typing_spots = |
|
618 |
t' |> typing_spot_table |
|
619 |
|> reverse_greedy |
|
620 |
|> sort int_ord |
|
621 |
in introduce_annotations thy typing_spots t t' end |
|
622 |
||
49914 | 623 |
val indent_size = 2 |
624 |
val no_label = ("", ~1) |
|
625 |
||
49883 | 626 |
fun string_for_proof ctxt type_enc lam_trans i n = |
627 |
let |
|
628 |
fun fix_print_mode f x = |
|
629 |
Print_Mode.setmp (filter (curry (op =) Symbol.xsymbolsN) |
|
630 |
(print_mode_value ())) f x |
|
631 |
fun do_indent ind = replicate_string (ind * indent_size) " " |
|
632 |
fun do_free (s, T) = |
|
633 |
maybe_quote s ^ " :: " ^ |
|
634 |
maybe_quote (fix_print_mode (Syntax.string_of_typ ctxt) T) |
|
635 |
fun do_label l = if l = no_label then "" else string_for_label l ^ ": " |
|
636 |
fun do_have qs = |
|
637 |
(if member (op =) qs Moreover then "moreover " else "") ^ |
|
638 |
(if member (op =) qs Ultimately then "ultimately " else "") ^ |
|
639 |
(if member (op =) qs Then then |
|
640 |
if member (op =) qs Show then "thus" else "hence" |
|
641 |
else |
|
642 |
if member (op =) qs Show then "show" else "have") |
|
643 |
val do_term = |
|
644 |
maybe_quote o fix_print_mode (Syntax.string_of_term ctxt) |
|
645 |
o annotate_types ctxt |
|
646 |
val reconstr = Metis (type_enc, lam_trans) |
|
49921 | 647 |
fun do_facts ind (ls, ss) = |
648 |
"\n" ^ do_indent (ind + 1) ^ |
|
49883 | 649 |
reconstructor_command reconstr 1 1 [] 0 |
650 |
(ls |> sort_distinct (prod_ord string_ord int_ord), |
|
651 |
ss |> sort_distinct string_ord) |
|
652 |
and do_step ind (Fix xs) = |
|
653 |
do_indent ind ^ "fix " ^ space_implode " and " (map do_free xs) ^ "\n" |
|
654 |
| do_step ind (Let (t1, t2)) = |
|
655 |
do_indent ind ^ "let " ^ do_term t1 ^ " = " ^ do_term t2 ^ "\n" |
|
656 |
| do_step ind (Assume (l, t)) = |
|
657 |
do_indent ind ^ "assume " ^ do_label l ^ do_term t ^ "\n" |
|
658 |
| do_step ind (Prove (qs, l, t, By_Metis facts)) = |
|
659 |
do_indent ind ^ do_have qs ^ " " ^ |
|
49921 | 660 |
do_label l ^ do_term t ^ do_facts ind facts ^ "\n" |
49883 | 661 |
| do_step ind (Prove (qs, l, t, Case_Split (proofs, facts))) = |
662 |
implode (map (prefix (do_indent ind ^ "moreover\n") o do_block ind) |
|
663 |
proofs) ^ |
|
49921 | 664 |
do_indent ind ^ do_have qs ^ " " ^ do_label l ^ do_term t ^ |
665 |
do_facts ind facts ^ "\n" |
|
49883 | 666 |
and do_steps prefix suffix ind steps = |
667 |
let val s = implode (map (do_step ind) steps) in |
|
668 |
replicate_string (ind * indent_size - size prefix) " " ^ prefix ^ |
|
669 |
String.extract (s, ind * indent_size, |
|
670 |
SOME (size s - ind * indent_size - 1)) ^ |
|
671 |
suffix ^ "\n" |
|
672 |
end |
|
673 |
and do_block ind proof = do_steps "{ " " }" (ind + 1) proof |
|
674 |
(* One-step proofs are pointless; better use the Metis one-liner |
|
675 |
directly. *) |
|
676 |
and do_proof [Prove (_, _, _, By_Metis _)] = "" |
|
677 |
| do_proof proof = |
|
678 |
(if i <> 1 then "prefer " ^ string_of_int i ^ "\n" else "") ^ |
|
679 |
do_indent 0 ^ "proof -\n" ^ do_steps "" "" 1 proof ^ do_indent 0 ^ |
|
680 |
(if n <> 1 then "next" else "qed") |
|
681 |
in do_proof end |
|
682 |
||
49914 | 683 |
fun used_labels_of_step (Prove (_, _, _, by)) = |
684 |
(case by of |
|
685 |
By_Metis (ls, _) => ls |
|
686 |
| Case_Split (proofs, (ls, _)) => |
|
687 |
fold (union (op =) o used_labels_of) proofs ls) |
|
688 |
| used_labels_of_step _ = [] |
|
689 |
and used_labels_of proof = fold (union (op =) o used_labels_of_step) proof [] |
|
690 |
||
691 |
fun kill_useless_labels_in_proof proof = |
|
692 |
let |
|
693 |
val used_ls = used_labels_of proof |
|
694 |
fun do_label l = if member (op =) used_ls l then l else no_label |
|
695 |
fun do_step (Assume (l, t)) = Assume (do_label l, t) |
|
696 |
| do_step (Prove (qs, l, t, by)) = |
|
697 |
Prove (qs, do_label l, t, |
|
698 |
case by of |
|
699 |
Case_Split (proofs, facts) => |
|
700 |
Case_Split (map (map do_step) proofs, facts) |
|
701 |
| _ => by) |
|
702 |
| do_step step = step |
|
703 |
in map do_step proof end |
|
704 |
||
705 |
fun prefix_for_depth n = replicate_string (n + 1) |
|
706 |
||
707 |
val relabel_proof = |
|
708 |
let |
|
709 |
fun aux _ _ _ [] = [] |
|
50017 | 710 |
| aux subst depth (next_assum, next_have) (Assume (l, t) :: proof) = |
49914 | 711 |
if l = no_label then |
50017 | 712 |
Assume (l, t) :: aux subst depth (next_assum, next_have) proof |
49914 | 713 |
else |
50017 | 714 |
let val l' = (prefix_for_depth depth assume_prefix, next_assum) in |
49914 | 715 |
Assume (l', t) :: |
50017 | 716 |
aux ((l, l') :: subst) depth (next_assum + 1, next_have) proof |
49914 | 717 |
end |
50017 | 718 |
| aux subst depth (next_assum, next_have) |
49914 | 719 |
(Prove (qs, l, t, by) :: proof) = |
720 |
let |
|
50017 | 721 |
val (l', subst, next_have) = |
49914 | 722 |
if l = no_label then |
50017 | 723 |
(l, subst, next_have) |
49914 | 724 |
else |
50017 | 725 |
let val l' = (prefix_for_depth depth have_prefix, next_have) in |
726 |
(l', (l, l') :: subst, next_have + 1) |
|
727 |
end |
|
49914 | 728 |
val relabel_facts = |
729 |
apfst (maps (the_list o AList.lookup (op =) subst)) |
|
730 |
val by = |
|
731 |
case by of |
|
732 |
By_Metis facts => By_Metis (relabel_facts facts) |
|
733 |
| Case_Split (proofs, facts) => |
|
734 |
Case_Split (map (aux subst (depth + 1) (1, 1)) proofs, |
|
735 |
relabel_facts facts) |
|
736 |
in |
|
50017 | 737 |
Prove (qs, l', t, by) :: aux subst depth (next_assum, next_have) proof |
49914 | 738 |
end |
739 |
| aux subst depth nextp (step :: proof) = |
|
740 |
step :: aux subst depth nextp proof |
|
741 |
in aux [] 0 (1, 1) end |
|
742 |
||
49917 | 743 |
val merge_timeout_slack = 1.2 |
744 |
||
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
745 |
val label_ord = prod_ord int_ord fast_string_ord o pairself swap |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
746 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
747 |
structure Label_Table = Table( |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
748 |
type key = label |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
749 |
val ord = label_ord) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
750 |
|
50020 | 751 |
fun shrink_proof debug ctxt type_enc lam_trans preplay preplay_timeout |
752 |
isar_shrink proof = |
|
49883 | 753 |
let |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
754 |
(* clean vector interface *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
755 |
fun get i v = Vector.sub (v, i) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
756 |
fun replace x i v = Vector.update (v, i, x) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
757 |
fun update f i v = replace (get i v |> f) i v |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
758 |
fun v_fold_index f v s = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
759 |
Vector.foldl (fn (x, (i, s)) => (i+1, f (i, x) s)) (0, s) v |> snd |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
760 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
761 |
(* Queue interface to table *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
762 |
fun pop tab key = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
763 |
let val v = hd (Inttab.lookup_list tab key) in |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
764 |
(v, Inttab.remove_list (op =) (key, v) tab) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
765 |
end |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
766 |
fun pop_max tab = pop tab (the (Inttab.max_key tab)) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
767 |
val is_empty = Inttab.is_empty |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
768 |
fun add_list tab xs = fold (Inttab.insert_list (op =)) xs tab |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
769 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
770 |
(* proof vector *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
771 |
val proof_vect = proof |> map SOME |> Vector.fromList |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
772 |
val n = Vector.length proof_vect |
50020 | 773 |
val n_target = Real.fromInt n / isar_shrink |> Real.round |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
774 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
775 |
(* table for mapping from label to proof position *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
776 |
fun update_table (i, Prove (_, label, _, _)) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
777 |
Label_Table.update_new (label, i) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
778 |
| update_table _ = I |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
779 |
val label_index_table = fold_index update_table proof Label_Table.empty |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
780 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
781 |
(* proof references *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
782 |
fun refs (Prove (_, _, _, By_Metis (refs, _))) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
783 |
map (the o Label_Table.lookup label_index_table) refs |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
784 |
| refs _ = [] |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
785 |
val refed_by_vect = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
786 |
Vector.tabulate (n, (fn _ => [])) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
787 |
|> fold_index (fn (i, step) => fold (update (cons i)) (refs step)) proof |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
788 |
|> Vector.map rev (* after rev, indices are sorted in ascending order *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
789 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
790 |
(* candidates for elimination, use table as priority queue (greedy |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
791 |
algorithm) *) |
49883 | 792 |
fun cost (Prove (_, _ , t, _)) = Term.size_of_term t |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
793 |
| cost _ = 0 |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
794 |
val cand_ord = rev_order o prod_ord int_ord int_ord |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
795 |
val cand_tab = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
796 |
v_fold_index |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
797 |
(fn (i, [_]) => cons (get i proof_vect |> the |> cost, i) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
798 |
| _ => I) refed_by_vect [] |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
799 |
|> Inttab.make_list |
49883 | 800 |
|
49917 | 801 |
(* Enrich context with local facts *) |
49883 | 802 |
val thy = Proof_Context.theory_of ctxt |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
803 |
fun enrich_ctxt' (Prove (_, label, t, _)) ctxt = |
50014 | 804 |
Proof_Context.put_thms false |
805 |
(string_for_label label, SOME [Skip_Proof.make_thm thy t]) ctxt |
|
49883 | 806 |
| enrich_ctxt' _ ctxt = ctxt |
807 |
val rich_ctxt = fold enrich_ctxt' proof ctxt |
|
808 |
||
809 |
(* Timing *) |
|
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
810 |
fun take_time timeout tac arg = |
49917 | 811 |
let val timing = Timing.start () in |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
812 |
(TimeLimit.timeLimit timeout tac arg; |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
813 |
Timing.result timing |> #cpu |> SOME) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
814 |
handle _ => NONE |
49883 | 815 |
end |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
816 |
val sum_up_time = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
817 |
Vector.foldl |
50015 | 818 |
((fn (SOME t, (b, s)) => (b, t + s) |
819 |
| (NONE, (_, s)) => (true, preplay_timeout + s)) o apfst Lazy.force) |
|
820 |
(false, seconds 0.0) |
|
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
821 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
822 |
(* Metis Preplaying *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
823 |
fun try_metis timeout (Prove (_, _, t, By_Metis fact_names)) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
824 |
if not preplay then (fn () => SOME (seconds 0.0)) else |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
825 |
let |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
826 |
val facts = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
827 |
fact_names |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
828 |
|>> map string_for_label |> op @ |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
829 |
|> map (the_single o thms_of_name rich_ctxt) |
50014 | 830 |
val goal = |
831 |
Goal.prove (Config.put Metis_Tactic.verbose debug ctxt) [] [] t |
|
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
832 |
fun tac {context = ctxt, prems = _} = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
833 |
Metis_Tactic.metis_tac [type_enc] lam_trans ctxt facts 1 |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
834 |
in |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
835 |
take_time timeout (fn () => goal tac) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
836 |
end |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
837 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
838 |
(* Lazy metis time vector, cache *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
839 |
val metis_time = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
840 |
Vector.map (Lazy.lazy o try_metis preplay_timeout o the) proof_vect |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
841 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
842 |
(* Merging *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
843 |
fun merge (Prove (qs1, label1, _, By_Metis (lfs1, gfs1))) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
844 |
(Prove (qs2, label2 , t, By_Metis (lfs2, gfs2))) = |
49883 | 845 |
let |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
846 |
val qs = inter (op =) qs1 qs2 (* FIXME: Is this correct? *) |
49913 | 847 |
|> member (op =) (union (op =) qs1 qs2) Ultimately ? cons Ultimately |
848 |
|> member (op =) qs2 Show ? cons Show |
|
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
849 |
val ls = remove (op =) label1 lfs2 |> union (op =) lfs1 |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
850 |
val ss = union (op =) gfs1 gfs2 |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
851 |
in Prove (qs, label2, t, By_Metis (ls, ss)) end |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
852 |
fun try_merge metis_time (s1, i) (s2, j) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
853 |
(case get i metis_time |> Lazy.force of |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
854 |
NONE => (NONE, metis_time) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
855 |
| SOME t1 => |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
856 |
(case get j metis_time |> Lazy.force of |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
857 |
NONE => (NONE, metis_time) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
858 |
| SOME t2 => |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
859 |
let |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
860 |
val s12 = merge s1 s2 |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
861 |
val timeout = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
862 |
t1 + t2 |> Time.toReal |> curry Real.* merge_timeout_slack |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
863 |
|> Time.fromReal |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
864 |
in |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
865 |
case try_metis timeout s12 () of |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
866 |
NONE => (NONE, metis_time) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
867 |
| some_t12 => |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
868 |
(SOME s12, metis_time |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
869 |
|> replace (seconds 0.0 |> SOME |> Lazy.value) i |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
870 |
|> replace (Lazy.value some_t12) j) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
871 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
872 |
end)) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
873 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
874 |
fun merge_steps metis_time proof_vect refed_by cand_tab n' = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
875 |
if is_empty cand_tab orelse n' <= n_target orelse n'<3 then |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
876 |
(sum_up_time metis_time, |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
877 |
Vector.foldr |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
878 |
(fn (NONE, proof) => proof | (SOME s, proof) => s :: proof) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
879 |
[] proof_vect) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
880 |
else |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
881 |
let |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
882 |
val (i, cand_tab) = pop_max cand_tab |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
883 |
val j = get i refed_by |> the_single |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
884 |
val s1 = get i proof_vect |> the |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
885 |
val s2 = get j proof_vect |> the |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
886 |
in |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
887 |
case try_merge metis_time (s1, i) (s2, j) of |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
888 |
(NONE, metis_time) => |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
889 |
merge_steps metis_time proof_vect refed_by cand_tab n' |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
890 |
| (s, metis_time) => let |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
891 |
val refs = refs s1 |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
892 |
val refed_by = refed_by |> fold |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
893 |
(update (Ord_List.remove int_ord i #> Ord_List.insert int_ord j)) refs |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
894 |
val new_candidates = |
50015 | 895 |
fold (fn (i, [_]) => cons (cost (get i proof_vect |> the), i) |
896 |
| _ => I) |
|
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
897 |
(map (fn i => (i, get i refed_by)) refs) [] |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
898 |
val cand_tab = add_list cand_tab new_candidates |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
899 |
val proof_vect = proof_vect |> replace NONE i |> replace s j |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
900 |
in |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
901 |
merge_steps metis_time proof_vect refed_by cand_tab (n' - 1) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
902 |
end |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
903 |
end |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
904 |
in |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
905 |
merge_steps metis_time proof_vect refed_by_vect cand_tab n |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
906 |
end |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
907 |
|
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
908 |
val chain_direct_proof = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
909 |
let |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
910 |
fun succedent_of_step (Prove (_, label, _, _)) = SOME label |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
911 |
| succedent_of_step (Assume (label, _)) = SOME label |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
912 |
| succedent_of_step _ = NONE |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
913 |
fun chain_inf (SOME label0) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
914 |
(step as Prove (qs, label, t, By_Metis (lfs, gfs))) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
915 |
if member (op =) lfs label0 then |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
916 |
Prove (Then :: qs, label, t, |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
917 |
By_Metis (filter_out (curry (op =) label0) lfs, gfs)) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
918 |
else |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
919 |
step |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
920 |
| chain_inf _ (Prove (qs, label, t, Case_Split (proofs, facts))) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
921 |
Prove (qs, label, t, Case_Split ((map (chain_proof NONE) proofs), facts)) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
922 |
| chain_inf _ step = step |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
923 |
and chain_proof _ [] = [] |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
924 |
| chain_proof (prev as SOME _) (i :: is) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
925 |
chain_inf prev i :: chain_proof (succedent_of_step i) is |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
926 |
| chain_proof _ (i :: is) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
927 |
i :: chain_proof (succedent_of_step i) is |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
928 |
in chain_proof NONE end |
49883 | 929 |
|
49914 | 930 |
type isar_params = |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
931 |
bool * bool * Time.time * real * string Symtab.table |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
932 |
* (string * stature) list vector * int Symtab.table * string proof * thm |
49914 | 933 |
|
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
934 |
fun isar_proof_text ctxt isar_proofs |
50020 | 935 |
(debug, verbose, preplay_timeout, isar_shrink, pool, fact_names, sym_tab, |
936 |
atp_proof, goal) |
|
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
937 |
(one_line_params as (_, _, _, _, subgoal, subgoal_count)) = |
49883 | 938 |
let |
939 |
val (params, hyp_ts, concl_t) = strip_subgoal ctxt goal subgoal |
|
940 |
val frees = fold Term.add_frees (concl_t :: hyp_ts) [] |
|
941 |
val one_line_proof = one_line_proof_text 0 one_line_params |
|
942 |
val type_enc = |
|
943 |
if is_typed_helper_used_in_atp_proof atp_proof then full_typesN |
|
944 |
else partial_typesN |
|
945 |
val lam_trans = lam_trans_from_atp_proof atp_proof metis_default_lam_trans |
|
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
946 |
val preplay = preplay_timeout <> seconds 0.0 |
49883 | 947 |
|
948 |
fun isar_proof_of () = |
|
949 |
let |
|
950 |
val atp_proof = |
|
951 |
atp_proof |
|
952 |
|> clean_up_atp_proof_dependencies |
|
953 |
|> nasty_atp_proof pool |
|
954 |
|> map_term_names_in_atp_proof repair_name |
|
955 |
|> decode_lines ctxt sym_tab |
|
956 |
|> rpair [] |-> fold_rev (add_line fact_names) |
|
957 |
|> repair_waldmeister_endgame |
|
958 |
|> rpair [] |-> fold_rev add_nontrivial_line |
|
959 |
|> rpair (0, []) |
|
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
960 |
|-> fold_rev (add_desired_line fact_names frees) |
49883 | 961 |
|> snd |
962 |
val conj_name = conjecture_prefix ^ string_of_int (length hyp_ts) |
|
963 |
val conjs = |
|
50010
17488e45eb5a
proper handling of assumptions arising from the goal's being expressed in rule format, for Isar proof construction
blanchet
parents:
50005
diff
changeset
|
964 |
atp_proof |> map_filter |
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
965 |
(fn Inference_Step (name as (_, ss), _, _, _, []) => |
50010
17488e45eb5a
proper handling of assumptions arising from the goal's being expressed in rule format, for Isar proof construction
blanchet
parents:
50005
diff
changeset
|
966 |
if member (op =) ss conj_name then SOME name else NONE |
17488e45eb5a
proper handling of assumptions arising from the goal's being expressed in rule format, for Isar proof construction
blanchet
parents:
50005
diff
changeset
|
967 |
| _ => NONE) |
17488e45eb5a
proper handling of assumptions arising from the goal's being expressed in rule format, for Isar proof construction
blanchet
parents:
50005
diff
changeset
|
968 |
val assms = |
17488e45eb5a
proper handling of assumptions arising from the goal's being expressed in rule format, for Isar proof construction
blanchet
parents:
50005
diff
changeset
|
969 |
atp_proof |> map_filter |
50013
cceec179bdca
use original formulas for hypotheses and conclusion to avoid mismatches
blanchet
parents:
50012
diff
changeset
|
970 |
(fn Inference_Step (name as (_, ss), _, _, _, []) => |
cceec179bdca
use original formulas for hypotheses and conclusion to avoid mismatches
blanchet
parents:
50012
diff
changeset
|
971 |
(case resolve_conjecture ss of |
cceec179bdca
use original formulas for hypotheses and conclusion to avoid mismatches
blanchet
parents:
50012
diff
changeset
|
972 |
[j] => |
cceec179bdca
use original formulas for hypotheses and conclusion to avoid mismatches
blanchet
parents:
50012
diff
changeset
|
973 |
if j = length hyp_ts then NONE |
cceec179bdca
use original formulas for hypotheses and conclusion to avoid mismatches
blanchet
parents:
50012
diff
changeset
|
974 |
else SOME (Assume (raw_label_for_name name, nth hyp_ts j)) |
cceec179bdca
use original formulas for hypotheses and conclusion to avoid mismatches
blanchet
parents:
50012
diff
changeset
|
975 |
| _ => NONE) |
50010
17488e45eb5a
proper handling of assumptions arising from the goal's being expressed in rule format, for Isar proof construction
blanchet
parents:
50005
diff
changeset
|
976 |
| _ => NONE) |
49883 | 977 |
fun dep_of_step (Definition_Step _) = NONE |
50012
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
978 |
| dep_of_step (Inference_Step (name, _, _, _, from)) = |
01cb92151a53
track formula roles in proofs and use that to determine whether the conjecture should be negated or not
blanchet
parents:
50010
diff
changeset
|
979 |
SOME (from, name) |
49883 | 980 |
val ref_graph = atp_proof |> map_filter dep_of_step |> make_ref_graph |
981 |
val axioms = axioms_of_ref_graph ref_graph conjs |
|
982 |
val tainted = tainted_atoms_of_ref_graph ref_graph conjs |
|
983 |
val props = |
|
984 |
Symtab.empty |
|
985 |
|> fold (fn Definition_Step _ => I (* FIXME *) |
|
50013
cceec179bdca
use original formulas for hypotheses and conclusion to avoid mismatches
blanchet
parents:
50012
diff
changeset
|
986 |
| Inference_Step (name as (s, ss), role, t, _, _) => |
49883 | 987 |
Symtab.update_new (s, |
50016 | 988 |
if member (op = o apsnd fst) tainted s then |
989 |
t |> role <> Conjecture ? s_not |
|
990 |
|> fold exists_of (map Var (Term.add_vars t [])) |
|
991 |
else |
|
992 |
t)) |
|
49883 | 993 |
atp_proof |
50013
cceec179bdca
use original formulas for hypotheses and conclusion to avoid mismatches
blanchet
parents:
50012
diff
changeset
|
994 |
(* The assumptions and conjecture are props; the rest are bools. *) |
50016 | 995 |
fun prop_of_clause [name as (s, ss)] = |
996 |
(case resolve_conjecture ss of |
|
997 |
[j] => if j = length hyp_ts then concl_t else nth hyp_ts j |
|
998 |
| _ => the_default @{term False} (Symtab.lookup props s) |
|
999 |
|> HOLogic.mk_Trueprop |> close_form) |
|
1000 |
| prop_of_clause names = |
|
50018
4ea26c74d7ea
use implications rather than disjunctions to improve readability
blanchet
parents:
50017
diff
changeset
|
1001 |
let val lits = map_filter (Symtab.lookup props o fst) names in |
4ea26c74d7ea
use implications rather than disjunctions to improve readability
blanchet
parents:
50017
diff
changeset
|
1002 |
case List.partition (can HOLogic.dest_not) lits of |
4ea26c74d7ea
use implications rather than disjunctions to improve readability
blanchet
parents:
50017
diff
changeset
|
1003 |
(negs as _ :: _, pos as _ :: _) => |
4ea26c74d7ea
use implications rather than disjunctions to improve readability
blanchet
parents:
50017
diff
changeset
|
1004 |
HOLogic.mk_imp |
4ea26c74d7ea
use implications rather than disjunctions to improve readability
blanchet
parents:
50017
diff
changeset
|
1005 |
(Library.foldr1 s_conj (map HOLogic.dest_not negs), |
4ea26c74d7ea
use implications rather than disjunctions to improve readability
blanchet
parents:
50017
diff
changeset
|
1006 |
Library.foldr1 s_disj pos) |
4ea26c74d7ea
use implications rather than disjunctions to improve readability
blanchet
parents:
50017
diff
changeset
|
1007 |
| _ => fold (curry s_disj) lits @{term False} |
4ea26c74d7ea
use implications rather than disjunctions to improve readability
blanchet
parents:
50017
diff
changeset
|
1008 |
end |
50016 | 1009 |
|> HOLogic.mk_Trueprop |> close_form |
49883 | 1010 |
fun maybe_show outer c = |
1011 |
(outer andalso length c = 1 andalso subset (op =) (c, conjs)) |
|
1012 |
? cons Show |
|
1013 |
fun do_have outer qs (gamma, c) = |
|
1014 |
Prove (maybe_show outer c qs, label_of_clause c, prop_of_clause c, |
|
50005 | 1015 |
By_Metis (fold (add_fact_from_dependencies fact_names) gamma |
1016 |
([], []))) |
|
49883 | 1017 |
fun do_inf outer (Have z) = do_have outer [] z |
1018 |
| do_inf outer (Cases cases) = |
|
1019 |
let val c = succedent_of_cases cases in |
|
1020 |
Prove (maybe_show outer c [Ultimately], label_of_clause c, |
|
1021 |
prop_of_clause c, |
|
1022 |
Case_Split (map (do_case false) cases, ([], []))) |
|
1023 |
end |
|
1024 |
and do_case outer (c, infs) = |
|
1025 |
Assume (label_of_clause c, prop_of_clause c) :: |
|
1026 |
map (do_inf outer) infs |
|
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1027 |
val (ext_time, isar_proof) = |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1028 |
ref_graph |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1029 |
|> redirect_graph axioms tainted |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1030 |
|> map (do_inf true) |
50010
17488e45eb5a
proper handling of assumptions arising from the goal's being expressed in rule format, for Isar proof construction
blanchet
parents:
50005
diff
changeset
|
1031 |
|> append assms |
50019 | 1032 |
|> shrink_proof debug ctxt type_enc lam_trans preplay |
50020 | 1033 |
preplay_timeout (if isar_proofs then isar_shrink else 1000.0) |
50004
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1034 |
(* ||> reorder_proof_to_minimize_jumps (* ? *) *) |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1035 |
||> chain_direct_proof |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1036 |
||> kill_useless_labels_in_proof |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1037 |
||> relabel_proof |
c96e8e40d789
several improvements to Isar proof reconstruction, by Steffen Smolka (step merging in case splits, time measurements, etc.)
blanchet
parents:
49994
diff
changeset
|
1038 |
||> not (null params) ? cons (Fix params) |
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1039 |
val num_steps = length isar_proof |
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1040 |
val isar_text = |
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1041 |
string_for_proof ctxt type_enc lam_trans subgoal subgoal_count |
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1042 |
isar_proof |
49883 | 1043 |
in |
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1044 |
case isar_text of |
49883 | 1045 |
"" => |
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1046 |
if isar_proofs then |
49883 | 1047 |
"\nNo structured proof available (proof too short)." |
1048 |
else |
|
1049 |
"" |
|
1050 |
| _ => |
|
50019 | 1051 |
"\n\nStructured proof" ^ |
1052 |
(if verbose then |
|
1053 |
" (" ^ string_of_int num_steps ^ " step" ^ plural_s num_steps ^ |
|
1054 |
(if preplay then ", " ^ string_from_ext_time ext_time |
|
1055 |
else "") ^ ")" |
|
1056 |
else if preplay then |
|
1057 |
" (" ^ string_from_ext_time ext_time ^ ")" |
|
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1058 |
else |
50019 | 1059 |
"") ^ ":\n" ^ Markup.markup Isabelle_Markup.sendback isar_text |
49883 | 1060 |
end |
1061 |
val isar_proof = |
|
1062 |
if debug then |
|
1063 |
isar_proof_of () |
|
1064 |
else case try isar_proof_of () of |
|
1065 |
SOME s => s |
|
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1066 |
| NONE => if isar_proofs then |
49883 | 1067 |
"\nWarning: The Isar proof construction failed." |
1068 |
else |
|
1069 |
"" |
|
1070 |
in one_line_proof ^ isar_proof end |
|
1071 |
||
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1072 |
fun proof_text ctxt isar_proofs isar_params num_chained |
49883 | 1073 |
(one_line_params as (preplay, _, _, _, _, _)) = |
49918
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1074 |
(if case preplay of Failed_to_Play _ => true | _ => isar_proofs then |
cf441f4a358b
renamed Isar-proof related options + changed semantics of Isar shrinking
blanchet
parents:
49917
diff
changeset
|
1075 |
isar_proof_text ctxt isar_proofs isar_params |
49883 | 1076 |
else |
1077 |
one_line_proof_text num_chained) one_line_params |
|
1078 |
||
1079 |
end; |