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(* Title: HOL/Tools/ATP/atp_reconstruct.ML
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Author: Lawrence C. Paulson, Cambridge University Computer Laboratory
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Author: Claire Quigley, Cambridge University Computer Laboratory
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Author: Jasmin Blanchette, TU Muenchen
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paulson@21978
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blanchet@43926
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Proof reconstruction from ATP proofs.
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wenzelm@33318
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*)
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wenzelm@33318
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blanchet@43926
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signature ATP_RECONSTRUCT =
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paulson@24425
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sig
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type 'a fo_term = 'a ATP_Problem.fo_term
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type ('a, 'b, 'c) formula = ('a, 'b, 'c) ATP_Problem.formula
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type 'a proof = 'a ATP_Proof.proof
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type locality = ATP_Translate.locality
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type type_sys = ATP_Translate.type_sys
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datatype reconstructor =
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Metis |
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MetisFT |
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MetisX |
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SMT of string
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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 * locality) list * minimize_command * int * int
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type isar_params =
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bool * bool * int * type_sys * string Symtab.table * int list list * int
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* (string * locality) list vector * int Symtab.table * string proof * thm
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val repair_conjecture_shape_and_fact_names :
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type_sys -> string -> int list list -> int
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-> (string * locality) list vector -> int list
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-> int list list * int * (string * locality) list vector * int list
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val used_facts_in_atp_proof :
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Proof.context -> type_sys -> int -> (string * locality) list vector
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-> string proof -> (string * locality) list
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val used_facts_in_unsound_atp_proof :
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Proof.context -> type_sys -> int list list -> int
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-> (string * locality) list vector -> 'a proof -> string list option
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val uses_typed_helpers : int list -> 'a proof -> bool
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val reconstructor_name : reconstructor -> string
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val one_line_proof_text : one_line_params -> string
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val make_tvar : string -> typ
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val make_tfree : Proof.context -> string -> typ
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val term_from_atp :
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Proof.context -> bool -> int Symtab.table -> typ option -> string fo_term
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-> term
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val prop_from_atp :
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Proof.context -> bool -> int Symtab.table
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-> (string, string, string fo_term) formula -> term
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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 -> one_line_params -> string
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paulson@24425
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end;
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paulson@21978
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structure ATP_Reconstruct : ATP_RECONSTRUCT =
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paulson@21978
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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_Translate
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datatype reconstructor =
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Metis |
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MetisFT |
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MetisX |
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SMT of string
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blanchet@43891
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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 * locality) list * minimize_command * int * int
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type isar_params =
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bool * bool * int * type_sys * string Symtab.table * int list list * int
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* (string * locality) list vector * int Symtab.table * string proof * thm
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fun is_head_digit s = Char.isDigit (String.sub (s, 0))
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val scan_integer = Scan.many1 is_head_digit >> (the o Int.fromString o implode)
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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 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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(** SPASS's FLOTTER hack **)
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(* This is a hack required for keeping track of facts after they have been
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clausified by SPASS's FLOTTER preprocessor. The "ATP/scripts/spass" script is
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also part of this hack. *)
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val set_ClauseFormulaRelationN = "set_ClauseFormulaRelation"
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fun extract_clause_sequence output =
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let
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val tokens_of = String.tokens (not o Char.isAlphaNum)
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fun extract_num ("clause" :: (ss as _ :: _)) = Int.fromString (List.last ss)
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| extract_num _ = NONE
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in output |> split_lines |> map_filter (extract_num o tokens_of) end
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val parse_clause_formula_pair =
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$$ "(" |-- scan_integer --| $$ ","
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-- (Symbol.scan_id ::: Scan.repeat ($$ "," |-- Symbol.scan_id)) --| $$ ")"
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--| Scan.option ($$ ",")
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val parse_clause_formula_relation =
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Scan.this_string set_ClauseFormulaRelationN |-- $$ "("
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|-- Scan.repeat parse_clause_formula_pair
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val extract_clause_formula_relation =
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Substring.full #> Substring.position set_ClauseFormulaRelationN
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#> snd #> Substring.position "." #> fst #> Substring.string
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#> raw_explode #> filter_out Symbol.is_blank #> parse_clause_formula_relation
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#> fst
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fun maybe_unprefix_fact_number type_sys =
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polymorphism_of_type_sys type_sys <> Polymorphic
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? (space_implode "_" o tl o space_explode "_")
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fun repair_conjecture_shape_and_fact_names type_sys output conjecture_shape
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fact_offset fact_names typed_helpers =
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if String.isSubstring set_ClauseFormulaRelationN output then
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let
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val j0 = hd (hd conjecture_shape)
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val seq = extract_clause_sequence output
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val name_map = extract_clause_formula_relation output
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fun renumber_conjecture j =
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conjecture_prefix ^ string_of_int (j - j0)
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|> AList.find (fn (s, ss) => member (op =) ss s) name_map
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|> map (fn s => find_index (curry (op =) s) seq + 1)
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fun names_for_number j =
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j |> AList.lookup (op =) name_map |> these
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|> map_filter (try (unascii_of o maybe_unprefix_fact_number type_sys
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o unprefix fact_prefix))
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|> map (fn name =>
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(name, name |> find_first_in_list_vector fact_names |> the)
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handle Option.Option =>
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error ("No such fact: " ^ quote name ^ "."))
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in
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(conjecture_shape |> map (maps renumber_conjecture), 0,
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seq |> map names_for_number |> Vector.fromList,
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name_map |> filter (forall is_typed_helper_name o snd) |> map fst)
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end
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else
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(conjecture_shape, fact_offset, fact_names, typed_helpers)
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blanchet@39733
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val vampire_step_prefix = "f" (* grrr... *)
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val extract_step_number =
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Int.fromString o perhaps (try (unprefix vampire_step_prefix))
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fun resolve_fact type_sys _ fact_names (_, SOME 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' |> maybe_unprefix_fact_number type_sys |> unascii_of in
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case find_first_in_list_vector fact_names s' of
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SOME x => [(s', x)]
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| NONE => []
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end
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| NONE => [])
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| resolve_fact _ facts_offset fact_names (num, NONE) =
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(case extract_step_number num of
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SOME j =>
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let val j = j - facts_offset in
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if j > 0 andalso j <= Vector.length fact_names then
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Vector.sub (fact_names, j - 1)
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else
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[]
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end
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| NONE => [])
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fun is_fact type_sys conjecture_shape =
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not o null o resolve_fact type_sys 0 conjecture_shape
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blanchet@39693
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fun resolve_conjecture _ (_, SOME s) =
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blanchet@43616
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(case try (unprefix conjecture_prefix) s of
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blanchet@43616
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SOME s' =>
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blanchet@43616
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(case Int.fromString s' of
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blanchet@43616
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SOME j => [j]
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blanchet@43616
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| NONE => [])
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blanchet@43616
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| NONE => [])
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blanchet@43616
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| resolve_conjecture conjecture_shape (num, NONE) =
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blanchet@43750
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case extract_step_number num of
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SOME i => (case find_index (exists (curry (op =) i)) conjecture_shape of
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blanchet@43750
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~1 => []
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blanchet@43750
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| j => [j])
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blanchet@43616
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| NONE => []
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blanchet@43320
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blanchet@43320
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fun is_conjecture conjecture_shape =
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blanchet@43320
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not o null o resolve_conjecture conjecture_shape
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blanchet@43320
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blanchet@43750
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fun is_typed_helper _ (_, SOME s) = is_typed_helper_name s
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blanchet@43750
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| is_typed_helper typed_helpers (num, NONE) =
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blanchet@43750
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(case extract_step_number num of
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blanchet@43750
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SOME i => member (op =) typed_helpers i
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| NONE => false)
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blanchet@43750
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blanchet@43809
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val leo2_ext = "extcnf_equal_neg"
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val isa_ext = Thm.get_name_hint @{thm ext}
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blanchet@43809
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val isa_short_ext = Long_Name.base_name isa_ext
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blanchet@43809
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blanchet@43809
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fun ext_name ctxt =
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blanchet@43809
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if Thm.eq_thm_prop (@{thm ext},
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blanchet@43809
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singleton (Attrib.eval_thms ctxt) (Facts.named isa_short_ext, [])) then
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blanchet@43809
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isa_short_ext
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blanchet@43809
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else
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blanchet@43809
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isa_ext
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blanchet@43809
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blanchet@43809
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fun add_fact _ type_sys facts_offset fact_names (Inference (name, _, [])) =
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blanchet@43784
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union (op =) (resolve_fact type_sys facts_offset fact_names name)
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blanchet@43809
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| add_fact ctxt _ _ _ (Inference (_, _, deps)) =
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blanchet@43809
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if AList.defined (op =) deps leo2_ext then
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blanchet@43809
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insert (op =) (ext_name ctxt, General (* or Chained... *))
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blanchet@43809
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else
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blanchet@43809
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I
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blanchet@43809
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| add_fact _ _ _ _ _ = I
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blanchet@39693
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blanchet@43809
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fun used_facts_in_atp_proof ctxt type_sys facts_offset fact_names atp_proof =
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blanchet@43320
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if null atp_proof then Vector.foldl (op @) [] fact_names
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blanchet@43809
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else fold (add_fact ctxt type_sys facts_offset fact_names) atp_proof []
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blanchet@43320
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blanchet@43320
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fun is_conjecture_referred_to_in_proof conjecture_shape =
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blanchet@43320
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exists (fn Inference (name, _, []) => is_conjecture conjecture_shape name
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blanchet@43320
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| _ => false)
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blanchet@43320
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blanchet@43809
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fun used_facts_in_unsound_atp_proof ctxt type_sys conjecture_shape facts_offset
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blanchet@43745
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fact_names atp_proof =
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blanchet@43745
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let
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blanchet@43809
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val used_facts =
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blanchet@43809
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used_facts_in_atp_proof ctxt type_sys facts_offset fact_names atp_proof
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blanchet@43745
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in
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blanchet@43745
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if forall (is_locality_global o snd) used_facts andalso
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blanchet@43745
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not (is_conjecture_referred_to_in_proof conjecture_shape atp_proof) then
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blanchet@43745
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SOME (map fst used_facts)
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blanchet@43745
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else
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blanchet@43745
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NONE
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blanchet@43745
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end
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blanchet@43320
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blanchet@43874
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fun uses_typed_helpers typed_helpers =
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blanchet@43874
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exists (fn Inference (name, _, []) => is_typed_helper typed_helpers name
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blanchet@43874
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| _ => false)
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blanchet@43874
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blanchet@43874
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blanchet@43320
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(** Soft-core proof reconstruction: Metis one-liner **)
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blanchet@43320
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blanchet@43874
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fun reconstructor_name Metis = "metis"
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blanchet@43874
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| reconstructor_name MetisFT = "metisFT"
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blanchet@44009
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| reconstructor_name MetisX = "metisX"
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blanchet@43874
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| reconstructor_name (SMT _) = "smt"
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blanchet@43874
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blanchet@43874
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fun reconstructor_settings (SMT settings) = settings
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blanchet@43874
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| reconstructor_settings _ = ""
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blanchet@43874
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263 |
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blanchet@43320
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fun string_for_label (s, num) = s ^ string_of_int num
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blanchet@43320
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blanchet@43874
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fun show_time NONE = ""
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blanchet@43875
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| show_time (SOME ext_time) = " (" ^ string_from_ext_time ext_time ^ ")"
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blanchet@43874
|
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blanchet@43320
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fun set_settings "" = ""
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blanchet@43320
|
270 |
| set_settings settings = "using [[" ^ settings ^ "]] "
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blanchet@43320
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271 |
fun apply_on_subgoal settings _ 1 = set_settings settings ^ "by "
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blanchet@43320
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| apply_on_subgoal settings 1 _ = set_settings settings ^ "apply "
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blanchet@43320
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273 |
| apply_on_subgoal settings i n =
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blanchet@43320
|
274 |
"prefer " ^ string_of_int i ^ " " ^ apply_on_subgoal settings 1 n
|
blanchet@43320
|
275 |
fun command_call name [] = name
|
blanchet@43320
|
276 |
| command_call name args = "(" ^ name ^ " " ^ space_implode " " args ^ ")"
|
blanchet@43874
|
277 |
fun try_command_line banner time command =
|
blanchet@43874
|
278 |
banner ^ ": " ^ Markup.markup Markup.sendback command ^ show_time time ^ "."
|
blanchet@43320
|
279 |
fun using_labels [] = ""
|
blanchet@43320
|
280 |
| using_labels ls =
|
blanchet@43320
|
281 |
"using " ^ space_implode " " (map string_for_label ls) ^ " "
|
blanchet@43874
|
282 |
fun reconstructor_command reconstructor i n (ls, ss) =
|
blanchet@43874
|
283 |
using_labels ls ^
|
blanchet@43874
|
284 |
apply_on_subgoal (reconstructor_settings reconstructor) i n ^
|
blanchet@43874
|
285 |
command_call (reconstructor_name reconstructor) ss
|
blanchet@43320
|
286 |
fun minimize_line _ [] = ""
|
blanchet@43320
|
287 |
| minimize_line minimize_command ss =
|
blanchet@43320
|
288 |
case minimize_command ss of
|
blanchet@43320
|
289 |
"" => ""
|
blanchet@43847
|
290 |
| command => "\nTo minimize: " ^ Markup.markup Markup.sendback command ^ "."
|
blanchet@39693
|
291 |
|
blanchet@40966
|
292 |
val split_used_facts =
|
blanchet@40966
|
293 |
List.partition (curry (op =) Chained o snd)
|
blanchet@39693
|
294 |
#> pairself (sort_distinct (string_ord o pairself fst))
|
blanchet@39693
|
295 |
|
blanchet@43874
|
296 |
fun one_line_proof_text (preplay, banner, used_facts, minimize_command,
|
blanchet@43878
|
297 |
subgoal, subgoal_count) =
|
blanchet@39693
|
298 |
let
|
blanchet@43874
|
299 |
val (chained, extra) = split_used_facts used_facts
|
blanchet@44007
|
300 |
val (failed, reconstructor, ext_time) =
|
blanchet@43874
|
301 |
case preplay of
|
blanchet@43891
|
302 |
Played (reconstructor, time) =>
|
blanchet@44007
|
303 |
(false, reconstructor, (SOME (false, time)))
|
blanchet@43874
|
304 |
| Trust_Playable (reconstructor, time) =>
|
blanchet@44007
|
305 |
(false, reconstructor,
|
blanchet@43874
|
306 |
case time of
|
blanchet@43874
|
307 |
NONE => NONE
|
blanchet@43874
|
308 |
| SOME time =>
|
blanchet@43874
|
309 |
if time = Time.zeroTime then NONE else SOME (true, time))
|
blanchet@44007
|
310 |
| Failed_to_Play reconstructor => (true, reconstructor, NONE)
|
blanchet@43874
|
311 |
val try_line =
|
blanchet@44007
|
312 |
([], map fst extra)
|
blanchet@44007
|
313 |
|> reconstructor_command reconstructor subgoal subgoal_count
|
blanchet@44007
|
314 |
|> (if failed then enclose "One-line proof reconstruction failed: " "."
|
blanchet@44007
|
315 |
else try_command_line banner ext_time)
|
blanchet@43874
|
316 |
in try_line ^ minimize_line minimize_command (map fst (extra @ chained)) end
|
blanchet@39693
|
317 |
|
blanchet@39693
|
318 |
(** Hard-core proof reconstruction: structured Isar proofs **)
|
blanchet@39693
|
319 |
|
blanchet@38248
|
320 |
(* Simple simplifications to ensure that sort annotations don't leave a trail of
|
blanchet@38248
|
321 |
spurious "True"s. *)
|
blanchet@43477
|
322 |
fun s_not (Const (@{const_name All}, T) $ Abs (s, T', t')) =
|
blanchet@43477
|
323 |
Const (@{const_name Ex}, T) $ Abs (s, T', s_not t')
|
blanchet@43477
|
324 |
| s_not (Const (@{const_name Ex}, T) $ Abs (s, T', t')) =
|
blanchet@43477
|
325 |
Const (@{const_name All}, T) $ Abs (s, T', s_not t')
|
blanchet@43477
|
326 |
| s_not (@{const HOL.implies} $ t1 $ t2) = @{const HOL.conj} $ t1 $ s_not t2
|
blanchet@43477
|
327 |
| s_not (@{const HOL.conj} $ t1 $ t2) =
|
blanchet@43477
|
328 |
@{const HOL.disj} $ s_not t1 $ s_not t2
|
blanchet@43477
|
329 |
| s_not (@{const HOL.disj} $ t1 $ t2) =
|
blanchet@43477
|
330 |
@{const HOL.conj} $ s_not t1 $ s_not t2
|
blanchet@43477
|
331 |
| s_not (@{const False}) = @{const True}
|
blanchet@43477
|
332 |
| s_not (@{const True}) = @{const False}
|
blanchet@38248
|
333 |
| s_not (@{const Not} $ t) = t
|
blanchet@38248
|
334 |
| s_not t = @{const Not} $ t
|
blanchet@38248
|
335 |
fun s_conj (@{const True}, t2) = t2
|
blanchet@38248
|
336 |
| s_conj (t1, @{const True}) = t1
|
blanchet@38248
|
337 |
| s_conj p = HOLogic.mk_conj p
|
blanchet@38248
|
338 |
fun s_disj (@{const False}, t2) = t2
|
blanchet@38248
|
339 |
| s_disj (t1, @{const False}) = t1
|
blanchet@38248
|
340 |
| s_disj p = HOLogic.mk_disj p
|
blanchet@38248
|
341 |
fun s_imp (@{const True}, t2) = t2
|
blanchet@38248
|
342 |
| s_imp (t1, @{const False}) = s_not t1
|
blanchet@38248
|
343 |
| s_imp p = HOLogic.mk_imp p
|
blanchet@38248
|
344 |
fun s_iff (@{const True}, t2) = t2
|
blanchet@38248
|
345 |
| s_iff (t1, @{const True}) = t1
|
blanchet@38248
|
346 |
| s_iff (t1, t2) = HOLogic.eq_const HOLogic.boolT $ t1 $ t2
|
blanchet@38248
|
347 |
|
blanchet@39671
|
348 |
fun forall_of v t = HOLogic.all_const (fastype_of v) $ lambda v t
|
blanchet@39671
|
349 |
fun exists_of v t = HOLogic.exists_const (fastype_of v) $ lambda v t
|
blanchet@39671
|
350 |
|
blanchet@43976
|
351 |
fun make_tvar s = TVar (("'" ^ s, 0), HOLogic.typeS)
|
blanchet@43976
|
352 |
fun make_tfree ctxt w =
|
blanchet@43976
|
353 |
let val ww = "'" ^ w in
|
blanchet@43976
|
354 |
TFree (ww, the_default HOLogic.typeS (Variable.def_sort ctxt (ww, ~1)))
|
blanchet@43976
|
355 |
end
|
blanchet@43976
|
356 |
|
blanchet@39693
|
357 |
val indent_size = 2
|
blanchet@39693
|
358 |
val no_label = ("", ~1)
|
blanchet@39693
|
359 |
|
blanchet@39693
|
360 |
val raw_prefix = "X"
|
blanchet@39693
|
361 |
val assum_prefix = "A"
|
blanchet@43051
|
362 |
val have_prefix = "F"
|
blanchet@39616
|
363 |
|
blanchet@39693
|
364 |
fun raw_label_for_name conjecture_shape name =
|
blanchet@39693
|
365 |
case resolve_conjecture conjecture_shape name of
|
blanchet@39693
|
366 |
[j] => (conjecture_prefix, j)
|
blanchet@39695
|
367 |
| _ => case Int.fromString (fst name) of
|
blanchet@39693
|
368 |
SOME j => (raw_prefix, j)
|
blanchet@39695
|
369 |
| NONE => (raw_prefix ^ fst name, 0)
|
blanchet@39693
|
370 |
|
paulson@21978
|
371 |
(**** INTERPRETATION OF TSTP SYNTAX TREES ****)
|
paulson@21978
|
372 |
|
blanchet@38225
|
373 |
exception FO_TERM of string fo_term list
|
blanchet@43402
|
374 |
exception FORMULA of (string, string, string fo_term) formula list
|
blanchet@38225
|
375 |
exception SAME of unit
|
paulson@21978
|
376 |
|
blanchet@36901
|
377 |
(* Type variables are given the basic sort "HOL.type". Some will later be
|
blanchet@38225
|
378 |
constrained by information from type literals, or by type inference. *)
|
blanchet@43976
|
379 |
fun typ_from_atp ctxt (u as ATerm (a, us)) =
|
blanchet@43976
|
380 |
let val Ts = map (typ_from_atp ctxt) us in
|
blanchet@38987
|
381 |
case strip_prefix_and_unascii type_const_prefix a of
|
blanchet@38225
|
382 |
SOME b => Type (invert_const b, Ts)
|
blanchet@38225
|
383 |
| NONE =>
|
blanchet@38225
|
384 |
if not (null us) then
|
blanchet@38225
|
385 |
raise FO_TERM [u] (* only "tconst"s have type arguments *)
|
blanchet@38987
|
386 |
else case strip_prefix_and_unascii tfree_prefix a of
|
blanchet@43976
|
387 |
SOME b => make_tfree ctxt b
|
blanchet@36482
|
388 |
| NONE =>
|
blanchet@38987
|
389 |
case strip_prefix_and_unascii tvar_prefix a of
|
blanchet@43976
|
390 |
SOME b => make_tvar b
|
blanchet@36482
|
391 |
| NONE =>
|
blanchet@38225
|
392 |
(* Variable from the ATP, say "X1" *)
|
blanchet@38225
|
393 |
Type_Infer.param 0 (a, HOLogic.typeS)
|
blanchet@38225
|
394 |
end
|
paulson@21978
|
395 |
|
blanchet@38248
|
396 |
(* Type class literal applied to a type. Returns triple of polarity, class,
|
blanchet@38248
|
397 |
type. *)
|
blanchet@43976
|
398 |
fun type_constraint_from_term ctxt (u as ATerm (a, us)) =
|
blanchet@43976
|
399 |
case (strip_prefix_and_unascii class_prefix a, map (typ_from_atp ctxt) us) of
|
blanchet@43477
|
400 |
(SOME b, [T]) => (b, T)
|
blanchet@38248
|
401 |
| _ => raise FO_TERM [u]
|
blanchet@38248
|
402 |
|
blanchet@38331
|
403 |
(** Accumulate type constraints in a formula: negative type literals **)
|
blanchet@38248
|
404 |
fun add_var (key, z) = Vartab.map_default (key, []) (cons z)
|
blanchet@43477
|
405 |
fun add_type_constraint false (cl, TFree (a ,_)) = add_var ((a, ~1), cl)
|
blanchet@43477
|
406 |
| add_type_constraint false (cl, TVar (ix, _)) = add_var (ix, cl)
|
blanchet@43477
|
407 |
| add_type_constraint _ _ = I
|
blanchet@38248
|
408 |
|
blanchet@43935
|
409 |
fun repair_variable_name f s =
|
blanchet@36482
|
410 |
let
|
blanchet@36482
|
411 |
fun subscript_name s n = s ^ nat_subscript n
|
blanchet@38713
|
412 |
val s = String.map f s
|
blanchet@36482
|
413 |
in
|
blanchet@36482
|
414 |
case space_explode "_" s of
|
blanchet@36482
|
415 |
[_] => (case take_suffix Char.isDigit (String.explode s) of
|
blanchet@36482
|
416 |
(cs1 as _ :: _, cs2 as _ :: _) =>
|
blanchet@36482
|
417 |
subscript_name (String.implode cs1)
|
blanchet@36482
|
418 |
(the (Int.fromString (String.implode cs2)))
|
blanchet@36482
|
419 |
| (_, _) => s)
|
blanchet@36482
|
420 |
| [s1, s2] => (case Int.fromString s2 of
|
blanchet@36482
|
421 |
SOME n => subscript_name s1 n
|
blanchet@36482
|
422 |
| NONE => s)
|
blanchet@36482
|
423 |
| _ => s
|
blanchet@36482
|
424 |
end
|
blanchet@44023
|
425 |
|
blanchet@44023
|
426 |
fun slack_fastype_of t = fastype_of t handle TERM _ => HOLogic.typeT
|
blanchet@44023
|
427 |
|
blanchet@36901
|
428 |
(* First-order translation. No types are known for variables. "HOLogic.typeT"
|
blanchet@38248
|
429 |
should allow them to be inferred. *)
|
blanchet@43976
|
430 |
fun term_from_atp ctxt textual sym_tab =
|
blanchet@36901
|
431 |
let
|
blanchet@43976
|
432 |
val thy = Proof_Context.theory_of ctxt
|
blanchet@43935
|
433 |
(* see also "mk_var" in "Metis_Reconstruct" *)
|
blanchet@43935
|
434 |
val var_index = if textual then 0 else 1
|
blanchet@43972
|
435 |
fun do_term extra_ts opt_T u =
|
blanchet@36901
|
436 |
case u of
|
blanchet@43410
|
437 |
ATerm (a, us) =>
|
blanchet@43803
|
438 |
if String.isPrefix simple_type_prefix a then
|
blanchet@43803
|
439 |
@{const True} (* ignore TPTP type information *)
|
blanchet@43841
|
440 |
else if a = tptp_equal then
|
blanchet@43934
|
441 |
let val ts = map (do_term [] NONE) us in
|
blanchet@43935
|
442 |
if textual andalso length ts = 2 andalso
|
blanchet@43935
|
443 |
hd ts aconv List.last ts then
|
blanchet@39352
|
444 |
(* Vampire is keen on producing these. *)
|
blanchet@39352
|
445 |
@{const True}
|
blanchet@39352
|
446 |
else
|
blanchet@39352
|
447 |
list_comb (Const (@{const_name HOL.eq}, HOLogic.typeT), ts)
|
blanchet@39352
|
448 |
end
|
blanchet@43841
|
449 |
else case strip_prefix_and_unascii const_prefix a of
|
blanchet@43841
|
450 |
SOME s =>
|
blanchet@43626
|
451 |
let
|
blanchet@43626
|
452 |
val ((s', s), mangled_us) = s |> unmangled_const |>> `invert_const
|
blanchet@43626
|
453 |
in
|
blanchet@43620
|
454 |
if s' = type_tag_name then
|
blanchet@43460
|
455 |
case mangled_us @ us of
|
blanchet@43460
|
456 |
[typ_u, term_u] =>
|
blanchet@43976
|
457 |
do_term extra_ts (SOME (typ_from_atp ctxt typ_u)) term_u
|
blanchet@43460
|
458 |
| _ => raise FO_TERM us
|
blanchet@43807
|
459 |
else if s' = predicator_name then
|
blanchet@43934
|
460 |
do_term [] (SOME @{typ bool}) (hd us)
|
blanchet@43807
|
461 |
else if s' = app_op_name then
|
blanchet@43972
|
462 |
let val extra_t = do_term [] NONE (List.last us) in
|
blanchet@43972
|
463 |
do_term (extra_t :: extra_ts)
|
blanchet@43972
|
464 |
(case opt_T of
|
blanchet@44023
|
465 |
SOME T => SOME (slack_fastype_of extra_t --> T)
|
blanchet@43972
|
466 |
| NONE => NONE)
|
blanchet@43972
|
467 |
(nth us (length us - 2))
|
blanchet@43972
|
468 |
end
|
blanchet@43807
|
469 |
else if s' = type_pred_name then
|
blanchet@43422
|
470 |
@{const True} (* ignore type predicates *)
|
blanchet@43420
|
471 |
else
|
blanchet@43420
|
472 |
let
|
blanchet@43620
|
473 |
val num_ty_args =
|
blanchet@43620
|
474 |
length us - the_default 0 (Symtab.lookup sym_tab s)
|
blanchet@43420
|
475 |
val (type_us, term_us) =
|
blanchet@43420
|
476 |
chop num_ty_args us |>> append mangled_us
|
blanchet@43934
|
477 |
val term_ts = map (do_term [] NONE) term_us
|
blanchet@43420
|
478 |
val T =
|
blanchet@43926
|
479 |
if not (null type_us) andalso
|
blanchet@43926
|
480 |
num_type_args thy s' = length type_us then
|
blanchet@43976
|
481 |
(s', map (typ_from_atp ctxt) type_us)
|
blanchet@43934
|
482 |
|> Sign.const_instance thy
|
blanchet@43626
|
483 |
else case opt_T of
|
blanchet@44023
|
484 |
SOME T => map slack_fastype_of term_ts ---> T
|
blanchet@43626
|
485 |
| NONE => HOLogic.typeT
|
blanchet@43620
|
486 |
val s' = s' |> unproxify_const
|
blanchet@43620
|
487 |
in list_comb (Const (s', T), term_ts @ extra_ts) end
|
blanchet@43420
|
488 |
end
|
blanchet@36901
|
489 |
| NONE => (* a free or schematic variable *)
|
blanchet@36901
|
490 |
let
|
blanchet@43972
|
491 |
val ts = map (do_term [] NONE) us @ extra_ts
|
blanchet@44023
|
492 |
val T = map slack_fastype_of ts ---> HOLogic.typeT
|
blanchet@36901
|
493 |
val t =
|
blanchet@38987
|
494 |
case strip_prefix_and_unascii fixed_var_prefix a of
|
blanchet@36901
|
495 |
SOME b => Free (b, T)
|
blanchet@36901
|
496 |
| NONE =>
|
blanchet@38987
|
497 |
case strip_prefix_and_unascii schematic_var_prefix a of
|
blanchet@43935
|
498 |
SOME b => Var ((b, var_index), T)
|
blanchet@36901
|
499 |
| NONE =>
|
blanchet@43936
|
500 |
Var ((a |> textual ? repair_variable_name Char.toLower,
|
blanchet@43936
|
501 |
var_index), T)
|
blanchet@36901
|
502 |
in list_comb (t, ts) end
|
blanchet@43934
|
503 |
in do_term [] end
|
paulson@21978
|
504 |
|
blanchet@43976
|
505 |
fun term_from_atom ctxt textual sym_tab pos (u as ATerm (s, _)) =
|
blanchet@38248
|
506 |
if String.isPrefix class_prefix s then
|
blanchet@43976
|
507 |
add_type_constraint pos (type_constraint_from_term ctxt u)
|
blanchet@38248
|
508 |
#> pair @{const True}
|
blanchet@38248
|
509 |
else
|
blanchet@43976
|
510 |
pair (term_from_atp ctxt textual sym_tab (SOME @{typ bool}) u)
|
blanchet@36402
|
511 |
|
blanchet@36553
|
512 |
val combinator_table =
|
blanchet@40134
|
513 |
[(@{const_name Meson.COMBI}, @{thm Meson.COMBI_def_raw}),
|
blanchet@40134
|
514 |
(@{const_name Meson.COMBK}, @{thm Meson.COMBK_def_raw}),
|
blanchet@40134
|
515 |
(@{const_name Meson.COMBB}, @{thm Meson.COMBB_def_raw}),
|
blanchet@40134
|
516 |
(@{const_name Meson.COMBC}, @{thm Meson.COMBC_def_raw}),
|
blanchet@40134
|
517 |
(@{const_name Meson.COMBS}, @{thm Meson.COMBS_def_raw})]
|
blanchet@36553
|
518 |
|
blanchet@43626
|
519 |
fun uncombine_term thy =
|
blanchet@43626
|
520 |
let
|
blanchet@43626
|
521 |
fun aux (t1 $ t2) = betapply (pairself aux (t1, t2))
|
blanchet@43626
|
522 |
| aux (Abs (s, T, t')) = Abs (s, T, aux t')
|
blanchet@43626
|
523 |
| aux (t as Const (x as (s, _))) =
|
blanchet@43626
|
524 |
(case AList.lookup (op =) combinator_table s of
|
blanchet@43626
|
525 |
SOME thm => thm |> prop_of |> specialize_type thy x
|
blanchet@43626
|
526 |
|> Logic.dest_equals |> snd
|
blanchet@43626
|
527 |
| NONE => t)
|
blanchet@43626
|
528 |
| aux t = t
|
blanchet@43626
|
529 |
in aux end
|
blanchet@36553
|
530 |
|
blanchet@38225
|
531 |
(* Update schematic type variables with detected sort constraints. It's not
|
blanchet@43434
|
532 |
totally clear whether this code is necessary. *)
|
blanchet@38248
|
533 |
fun repair_tvar_sorts (t, tvar_tab) =
|
blanchet@36901
|
534 |
let
|
blanchet@38225
|
535 |
fun do_type (Type (a, Ts)) = Type (a, map do_type Ts)
|
blanchet@38225
|
536 |
| do_type (TVar (xi, s)) =
|
blanchet@38225
|
537 |
TVar (xi, the_default s (Vartab.lookup tvar_tab xi))
|
blanchet@38225
|
538 |
| do_type (TFree z) = TFree z
|
blanchet@38225
|
539 |
fun do_term (Const (a, T)) = Const (a, do_type T)
|
blanchet@38225
|
540 |
| do_term (Free (a, T)) = Free (a, do_type T)
|
blanchet@38225
|
541 |
| do_term (Var (xi, T)) = Var (xi, do_type T)
|
blanchet@38225
|
542 |
| do_term (t as Bound _) = t
|
blanchet@38225
|
543 |
| do_term (Abs (a, T, t)) = Abs (a, do_type T, do_term t)
|
blanchet@38225
|
544 |
| do_term (t1 $ t2) = do_term t1 $ do_term t2
|
blanchet@38225
|
545 |
in t |> not (Vartab.is_empty tvar_tab) ? do_term end
|
blanchet@38225
|
546 |
|
blanchet@39671
|
547 |
fun quantify_over_var quant_of var_s t =
|
blanchet@39671
|
548 |
let
|
blanchet@39671
|
549 |
val vars = [] |> Term.add_vars t |> filter (fn ((s, _), _) => s = var_s)
|
blanchet@39671
|
550 |
|> map Var
|
blanchet@39671
|
551 |
in fold_rev quant_of vars t end
|
blanchet@38225
|
552 |
|
blanchet@38331
|
553 |
(* Interpret an ATP formula as a HOL term, extracting sort constraints as they
|
blanchet@38331
|
554 |
appear in the formula. *)
|
blanchet@43977
|
555 |
fun raw_prop_from_atp ctxt textual sym_tab phi =
|
blanchet@38248
|
556 |
let
|
blanchet@38248
|
557 |
fun do_formula pos phi =
|
blanchet@38225
|
558 |
case phi of
|
blanchet@38248
|
559 |
AQuant (_, [], phi) => do_formula pos phi
|
blanchet@43397
|
560 |
| AQuant (q, (s, _) :: xs, phi') =>
|
blanchet@38248
|
561 |
do_formula pos (AQuant (q, xs, phi'))
|
blanchet@43397
|
562 |
(* FIXME: TFF *)
|
blanchet@39671
|
563 |
#>> quantify_over_var (case q of
|
blanchet@39671
|
564 |
AForall => forall_of
|
blanchet@39671
|
565 |
| AExists => exists_of)
|
blanchet@43936
|
566 |
(s |> textual ? repair_variable_name Char.toLower)
|
blanchet@38248
|
567 |
| AConn (ANot, [phi']) => do_formula (not pos) phi' #>> s_not
|
blanchet@38225
|
568 |
| AConn (c, [phi1, phi2]) =>
|
blanchet@38248
|
569 |
do_formula (pos |> c = AImplies ? not) phi1
|
blanchet@38248
|
570 |
##>> do_formula pos phi2
|
blanchet@38248
|
571 |
#>> (case c of
|
blanchet@38248
|
572 |
AAnd => s_conj
|
blanchet@38248
|
573 |
| AOr => s_disj
|
blanchet@38248
|
574 |
| AImplies => s_imp
|
blanchet@38284
|
575 |
| AIff => s_iff
|
blanchet@44004
|
576 |
| ANot => raise Fail "impossible connective")
|
blanchet@43976
|
577 |
| AAtom tm => term_from_atom ctxt textual sym_tab pos tm
|
blanchet@38225
|
578 |
| _ => raise FORMULA [phi]
|
blanchet@38248
|
579 |
in repair_tvar_sorts (do_formula true phi Vartab.empty) end
|
blanchet@38225
|
580 |
|
blanchet@43972
|
581 |
fun infer_formula_types ctxt =
|
wenzelm@39541
|
582 |
Type.constraint HOLogic.boolT
|
blanchet@43626
|
583 |
#> Syntax.check_term
|
blanchet@43626
|
584 |
(Proof_Context.set_mode Proof_Context.mode_schematic ctxt)
|
paulson@21978
|
585 |
|
blanchet@43977
|
586 |
fun prop_from_atp ctxt textual sym_tab =
|
blanchet@43977
|
587 |
let val thy = Proof_Context.theory_of ctxt in
|
blanchet@43977
|
588 |
raw_prop_from_atp ctxt textual sym_tab
|
blanchet@44017
|
589 |
#> textual ? uncombine_term thy #> infer_formula_types ctxt
|
blanchet@43977
|
590 |
end
|
blanchet@43977
|
591 |
|
blanchet@43934
|
592 |
(**** Translation of TSTP files to Isar proofs ****)
|
paulson@21978
|
593 |
|
blanchet@36482
|
594 |
fun unvarify_term (Var ((s, 0), T)) = Free (s, T)
|
blanchet@36482
|
595 |
| unvarify_term t = raise TERM ("unvarify_term: non-Var", [t])
|
paulson@21978
|
596 |
|
blanchet@43976
|
597 |
fun decode_line sym_tab (Definition (name, phi1, phi2)) ctxt =
|
blanchet@36482
|
598 |
let
|
wenzelm@43232
|
599 |
val thy = Proof_Context.theory_of ctxt
|
blanchet@43977
|
600 |
(* FIXME: prop or term? *)
|
blanchet@43977
|
601 |
val t1 = raw_prop_from_atp ctxt true sym_tab phi1
|
blanchet@36549
|
602 |
val vars = snd (strip_comb t1)
|
blanchet@36482
|
603 |
val frees = map unvarify_term vars
|
blanchet@36482
|
604 |
val unvarify_args = subst_atomic (vars ~~ frees)
|
blanchet@43977
|
605 |
val t2 = raw_prop_from_atp ctxt true sym_tab phi2
|
blanchet@36549
|
606 |
val (t1, t2) =
|
blanchet@36549
|
607 |
HOLogic.eq_const HOLogic.typeT $ t1 $ t2
|
blanchet@43972
|
608 |
|> unvarify_args |> uncombine_term thy |> infer_formula_types ctxt
|
blanchet@36553
|
609 |
|> HOLogic.dest_eq
|
blanchet@36482
|
610 |
in
|
blanchet@39614
|
611 |
(Definition (name, t1, t2),
|
blanchet@36549
|
612 |
fold Variable.declare_term (maps OldTerm.term_frees [t1, t2]) ctxt)
|
blanchet@36482
|
613 |
end
|
blanchet@43976
|
614 |
| decode_line sym_tab (Inference (name, u, deps)) ctxt =
|
blanchet@43977
|
615 |
let val t = u |> prop_from_atp ctxt true sym_tab in
|
blanchet@39614
|
616 |
(Inference (name, t, deps),
|
blanchet@36549
|
617 |
fold Variable.declare_term (OldTerm.term_frees t) ctxt)
|
blanchet@36482
|
618 |
end
|
blanchet@43976
|
619 |
fun decode_lines ctxt sym_tab lines =
|
blanchet@43976
|
620 |
fst (fold_map (decode_line sym_tab) lines ctxt)
|
paulson@21978
|
621 |
|
blanchet@38281
|
622 |
fun is_same_inference _ (Definition _) = false
|
blanchet@38281
|
623 |
| is_same_inference t (Inference (_, t', _)) = t aconv t'
|
blanchet@36482
|
624 |
|
blanchet@36482
|
625 |
(* No "real" literals means only type information (tfree_tcs, clsrel, or
|
blanchet@36482
|
626 |
clsarity). *)
|
blanchet@36482
|
627 |
val is_only_type_information = curry (op aconv) HOLogic.true_const
|
blanchet@36482
|
628 |
|
blanchet@39619
|
629 |
fun replace_one_dependency (old, new) dep =
|
blanchet@43809
|
630 |
if is_same_atp_step dep old then new else [dep]
|
blanchet@39619
|
631 |
fun replace_dependencies_in_line _ (line as Definition _) = line
|
blanchet@39619
|
632 |
| replace_dependencies_in_line p (Inference (name, t, deps)) =
|
blanchet@39619
|
633 |
Inference (name, t, fold (union (op =) o replace_one_dependency p) deps [])
|
paulson@21978
|
634 |
|
blanchet@40445
|
635 |
(* Discard facts; consolidate adjacent lines that prove the same formula, since
|
blanchet@38331
|
636 |
they differ only in type information.*)
|
blanchet@43518
|
637 |
fun add_line _ _ _ (line as Definition _) lines = line :: lines
|
blanchet@43518
|
638 |
| add_line type_sys conjecture_shape fact_names (Inference (name, t, []))
|
blanchet@43518
|
639 |
lines =
|
blanchet@40445
|
640 |
(* No dependencies: fact, conjecture, or (for Vampire) internal facts or
|
blanchet@38331
|
641 |
definitions. *)
|
blanchet@43518
|
642 |
if is_fact type_sys fact_names name then
|
blanchet@40445
|
643 |
(* Facts are not proof lines. *)
|
blanchet@36482
|
644 |
if is_only_type_information t then
|
blanchet@39619
|
645 |
map (replace_dependencies_in_line (name, [])) lines
|
blanchet@36482
|
646 |
(* Is there a repetition? If so, replace later line by earlier one. *)
|
blanchet@38281
|
647 |
else case take_prefix (not o is_same_inference t) lines of
|
blanchet@39619
|
648 |
(_, []) => lines (* no repetition of proof line *)
|
blanchet@39614
|
649 |
| (pre, Inference (name', _, _) :: post) =>
|
blanchet@39619
|
650 |
pre @ map (replace_dependencies_in_line (name', [name])) post
|
blanchet@40250
|
651 |
| _ => raise Fail "unexpected inference"
|
blanchet@39616
|
652 |
else if is_conjecture conjecture_shape name then
|
blanchet@43477
|
653 |
Inference (name, s_not t, []) :: lines
|
blanchet@36482
|
654 |
else
|
blanchet@39619
|
655 |
map (replace_dependencies_in_line (name, [])) lines
|
blanchet@43518
|
656 |
| add_line _ _ _ (Inference (name, t, deps)) lines =
|
blanchet@36482
|
657 |
(* Type information will be deleted later; skip repetition test. *)
|
blanchet@36482
|
658 |
if is_only_type_information t then
|
blanchet@39614
|
659 |
Inference (name, t, deps) :: lines
|
blanchet@36482
|
660 |
(* Is there a repetition? If so, replace later line by earlier one. *)
|
blanchet@38281
|
661 |
else case take_prefix (not o is_same_inference t) lines of
|
blanchet@36482
|
662 |
(* FIXME: Doesn't this code risk conflating proofs involving different
|
blanchet@38281
|
663 |
types? *)
|
blanchet@39614
|
664 |
(_, []) => Inference (name, t, deps) :: lines
|
blanchet@39614
|
665 |
| (pre, Inference (name', t', _) :: post) =>
|
blanchet@39614
|
666 |
Inference (name, t', deps) ::
|
blanchet@39619
|
667 |
pre @ map (replace_dependencies_in_line (name', [name])) post
|
blanchet@40250
|
668 |
| _ => raise Fail "unexpected inference"
|
paulson@22044
|
669 |
|
blanchet@36482
|
670 |
(* Recursively delete empty lines (type information) from the proof. *)
|
blanchet@39614
|
671 |
fun add_nontrivial_line (Inference (name, t, [])) lines =
|
blanchet@39619
|
672 |
if is_only_type_information t then delete_dependency name lines
|
blanchet@39614
|
673 |
else Inference (name, t, []) :: lines
|
blanchet@36482
|
674 |
| add_nontrivial_line line lines = line :: lines
|
blanchet@39619
|
675 |
and delete_dependency name lines =
|
blanchet@39619
|
676 |
fold_rev add_nontrivial_line
|
blanchet@39619
|
677 |
(map (replace_dependencies_in_line (name, [])) lines) []
|
paulson@22470
|
678 |
|
blanchet@37320
|
679 |
(* ATPs sometimes reuse free variable names in the strangest ways. Removing
|
blanchet@37320
|
680 |
offending lines often does the trick. *)
|
blanchet@36558
|
681 |
fun is_bad_free frees (Free x) = not (member (op =) frees x)
|
blanchet@36558
|
682 |
| is_bad_free _ _ = false
|
paulson@22731
|
683 |
|
blanchet@43518
|
684 |
fun add_desired_line _ _ _ _ _ (line as Definition (name, _, _)) (j, lines) =
|
blanchet@39619
|
685 |
(j, line :: map (replace_dependencies_in_line (name, [])) lines)
|
blanchet@43518
|
686 |
| add_desired_line type_sys isar_shrink_factor conjecture_shape fact_names
|
blanchet@43518
|
687 |
frees (Inference (name, t, deps)) (j, lines) =
|
blanchet@36402
|
688 |
(j + 1,
|
blanchet@43518
|
689 |
if is_fact type_sys fact_names name orelse
|
blanchet@39616
|
690 |
is_conjecture conjecture_shape name orelse
|
blanchet@39619
|
691 |
(* the last line must be kept *)
|
blanchet@39619
|
692 |
j = 0 orelse
|
blanchet@36568
|
693 |
(not (is_only_type_information t) andalso
|
blanchet@36568
|
694 |
null (Term.add_tvars t []) andalso
|
blanchet@36568
|
695 |
not (exists_subterm (is_bad_free frees) t) andalso
|
blanchet@39619
|
696 |
length deps >= 2 andalso j mod isar_shrink_factor = 0 andalso
|
blanchet@39619
|
697 |
(* kill next to last line, which usually results in a trivial step *)
|
blanchet@39619
|
698 |
j <> 1) then
|
blanchet@39614
|
699 |
Inference (name, t, deps) :: lines (* keep line *)
|
blanchet@36402
|
700 |
else
|
blanchet@39619
|
701 |
map (replace_dependencies_in_line (name, deps)) lines) (* drop line *)
|
paulson@21978
|
702 |
|
blanchet@36482
|
703 |
(** Isar proof construction and manipulation **)
|
blanchet@36482
|
704 |
|
blanchet@36482
|
705 |
fun merge_fact_sets (ls1, ss1) (ls2, ss2) =
|
blanchet@36482
|
706 |
(union (op =) ls1 ls2, union (op =) ss1 ss2)
|
blanchet@36402
|
707 |
|
blanchet@36402
|
708 |
type label = string * int
|
blanchet@36402
|
709 |
type facts = label list * string list
|
blanchet@36402
|
710 |
|
blanchet@39692
|
711 |
datatype isar_qualifier = Show | Then | Moreover | Ultimately
|
blanchet@36402
|
712 |
|
blanchet@39692
|
713 |
datatype isar_step =
|
blanchet@36474
|
714 |
Fix of (string * typ) list |
|
blanchet@36482
|
715 |
Let of term * term |
|
blanchet@36402
|
716 |
Assume of label * term |
|
blanchet@39692
|
717 |
Have of isar_qualifier list * label * term * byline
|
blanchet@36402
|
718 |
and byline =
|
blanchet@36562
|
719 |
ByMetis of facts |
|
blanchet@39692
|
720 |
CaseSplit of isar_step list list * facts
|
blanchet@36402
|
721 |
|
blanchet@36572
|
722 |
fun smart_case_split [] facts = ByMetis facts
|
blanchet@36572
|
723 |
| smart_case_split proofs facts = CaseSplit (proofs, facts)
|
blanchet@36572
|
724 |
|
blanchet@43518
|
725 |
fun add_fact_from_dependency type_sys conjecture_shape facts_offset fact_names
|
blanchet@43518
|
726 |
name =
|
blanchet@43518
|
727 |
if is_fact type_sys fact_names name then
|
blanchet@43518
|
728 |
apsnd (union (op =)
|
blanchet@43518
|
729 |
(map fst (resolve_fact type_sys facts_offset fact_names name)))
|
blanchet@36471
|
730 |
else
|
blanchet@39616
|
731 |
apfst (insert (op =) (raw_label_for_name conjecture_shape name))
|
blanchet@36402
|
732 |
|
blanchet@43518
|
733 |
fun step_for_line _ _ _ _ _ (Definition (_, t1, t2)) = Let (t1, t2)
|
blanchet@43518
|
734 |
| step_for_line _ conjecture_shape _ _ _ (Inference (name, t, [])) =
|
blanchet@39616
|
735 |
Assume (raw_label_for_name conjecture_shape name, t)
|
blanchet@43518
|
736 |
| step_for_line type_sys conjecture_shape facts_offset
|
blanchet@43518
|
737 |
fact_names j (Inference (name, t, deps)) =
|
blanchet@39616
|
738 |
Have (if j = 1 then [Show] else [],
|
blanchet@39671
|
739 |
raw_label_for_name conjecture_shape name,
|
blanchet@39671
|
740 |
fold_rev forall_of (map Var (Term.add_vars t [])) t,
|
blanchet@43518
|
741 |
ByMetis (fold (add_fact_from_dependency type_sys conjecture_shape
|
blanchet@43518
|
742 |
facts_offset fact_names)
|
blanchet@39619
|
743 |
deps ([], [])))
|
blanchet@36291
|
744 |
|
blanchet@39694
|
745 |
fun repair_name "$true" = "c_True"
|
blanchet@39694
|
746 |
| repair_name "$false" = "c_False"
|
blanchet@43841
|
747 |
| repair_name "$$e" = tptp_equal (* seen in Vampire proofs *)
|
blanchet@39694
|
748 |
| repair_name s =
|
blanchet@43841
|
749 |
if is_tptp_equal s orelse
|
blanchet@43841
|
750 |
(* seen in Vampire proofs *)
|
blanchet@43841
|
751 |
(String.isPrefix "sQ" s andalso String.isSuffix "_eqProxy" s) then
|
blanchet@43841
|
752 |
tptp_equal
|
blanchet@39694
|
753 |
else
|
blanchet@39694
|
754 |
s
|
blanchet@39694
|
755 |
|
blanchet@43976
|
756 |
fun isar_proof_from_atp_proof pool ctxt type_sys isar_shrink_factor
|
blanchet@43874
|
757 |
conjecture_shape facts_offset fact_names sym_tab params frees
|
blanchet@43874
|
758 |
atp_proof =
|
wenzelm@33318
|
759 |
let
|
blanchet@36482
|
760 |
val lines =
|
blanchet@43320
|
761 |
atp_proof
|
blanchet@43809
|
762 |
|> clean_up_atp_proof_dependencies
|
blanchet@39694
|
763 |
|> nasty_atp_proof pool
|
blanchet@39694
|
764 |
|> map_term_names_in_atp_proof repair_name
|
blanchet@43976
|
765 |
|> decode_lines ctxt sym_tab
|
blanchet@43518
|
766 |
|> rpair [] |-> fold_rev (add_line type_sys conjecture_shape fact_names)
|
blanchet@36482
|
767 |
|> rpair [] |-> fold_rev add_nontrivial_line
|
blanchet@43518
|
768 |
|> rpair (0, [])
|
blanchet@43518
|
769 |
|-> fold_rev (add_desired_line type_sys isar_shrink_factor
|
blanchet@43518
|
770 |
conjecture_shape fact_names frees)
|
blanchet@36482
|
771 |
|> snd
|
blanchet@36402
|
772 |
in
|
blanchet@36901
|
773 |
(if null params then [] else [Fix params]) @
|
blanchet@43518
|
774 |
map2 (step_for_line type_sys conjecture_shape facts_offset fact_names)
|
blanchet@43412
|
775 |
(length lines downto 1) lines
|
blanchet@36402
|
776 |
end
|
blanchet@36402
|
777 |
|
blanchet@36402
|
778 |
(* When redirecting proofs, we keep information about the labels seen so far in
|
blanchet@36402
|
779 |
the "backpatches" data structure. The first component indicates which facts
|
blanchet@36402
|
780 |
should be associated with forthcoming proof steps. The second component is a
|
blanchet@37319
|
781 |
pair ("assum_ls", "drop_ls"), where "assum_ls" are the labels that should
|
blanchet@37319
|
782 |
become assumptions and "drop_ls" are the labels that should be dropped in a
|
blanchet@37319
|
783 |
case split. *)
|
blanchet@36402
|
784 |
type backpatches = (label * facts) list * (label list * label list)
|
blanchet@36402
|
785 |
|
blanchet@36554
|
786 |
fun used_labels_of_step (Have (_, _, _, by)) =
|
blanchet@36402
|
787 |
(case by of
|
blanchet@36562
|
788 |
ByMetis (ls, _) => ls
|
blanchet@36554
|
789 |
| CaseSplit (proofs, (ls, _)) =>
|
blanchet@36554
|
790 |
fold (union (op =) o used_labels_of) proofs ls)
|
blanchet@36554
|
791 |
| used_labels_of_step _ = []
|
blanchet@36554
|
792 |
and used_labels_of proof = fold (union (op =) o used_labels_of_step) proof []
|
blanchet@36402
|
793 |
|
blanchet@36402
|
794 |
fun new_labels_of_step (Fix _) = []
|
blanchet@36482
|
795 |
| new_labels_of_step (Let _) = []
|
blanchet@36402
|
796 |
| new_labels_of_step (Assume (l, _)) = [l]
|
blanchet@36402
|
797 |
| new_labels_of_step (Have (_, l, _, _)) = [l]
|
blanchet@36402
|
798 |
val new_labels_of = maps new_labels_of_step
|
blanchet@36402
|
799 |
|
blanchet@36402
|
800 |
val join_proofs =
|
blanchet@36402
|
801 |
let
|
blanchet@36402
|
802 |
fun aux _ [] = NONE
|
blanchet@36402
|
803 |
| aux proof_tail (proofs as (proof1 :: _)) =
|
blanchet@36402
|
804 |
if exists null proofs then
|
blanchet@36402
|
805 |
NONE
|
blanchet@36402
|
806 |
else if forall (curry (op =) (hd proof1) o hd) (tl proofs) then
|
blanchet@36402
|
807 |
aux (hd proof1 :: proof_tail) (map tl proofs)
|
blanchet@36402
|
808 |
else case hd proof1 of
|
blanchet@37498
|
809 |
Have ([], l, t, _) => (* FIXME: should we really ignore the "by"? *)
|
blanchet@36402
|
810 |
if forall (fn Have ([], l', t', _) :: _ => (l, t) = (l', t')
|
blanchet@36402
|
811 |
| _ => false) (tl proofs) andalso
|
blanchet@36402
|
812 |
not (exists (member (op =) (maps new_labels_of proofs))
|
blanchet@36554
|
813 |
(used_labels_of proof_tail)) then
|
blanchet@36402
|
814 |
SOME (l, t, map rev proofs, proof_tail)
|
blanchet@36402
|
815 |
else
|
blanchet@36402
|
816 |
NONE
|
blanchet@36402
|
817 |
| _ => NONE
|
blanchet@36402
|
818 |
in aux [] o map rev end
|
blanchet@36402
|
819 |
|
blanchet@36402
|
820 |
fun case_split_qualifiers proofs =
|
blanchet@36402
|
821 |
case length proofs of
|
blanchet@36402
|
822 |
0 => []
|
blanchet@36402
|
823 |
| 1 => [Then]
|
blanchet@36402
|
824 |
| _ => [Ultimately]
|
blanchet@36402
|
825 |
|
blanchet@39618
|
826 |
fun redirect_proof hyp_ts concl_t proof =
|
blanchet@36402
|
827 |
let
|
blanchet@37321
|
828 |
(* The first pass outputs those steps that are independent of the negated
|
blanchet@37321
|
829 |
conjecture. The second pass flips the proof by contradiction to obtain a
|
blanchet@37321
|
830 |
direct proof, introducing case splits when an inference depends on
|
blanchet@37321
|
831 |
several facts that depend on the negated conjecture. *)
|
blanchet@39618
|
832 |
val concl_l = (conjecture_prefix, length hyp_ts)
|
blanchet@38286
|
833 |
fun first_pass ([], contra) = ([], contra)
|
blanchet@38286
|
834 |
| first_pass ((step as Fix _) :: proof, contra) =
|
blanchet@38286
|
835 |
first_pass (proof, contra) |>> cons step
|
blanchet@38286
|
836 |
| first_pass ((step as Let _) :: proof, contra) =
|
blanchet@38286
|
837 |
first_pass (proof, contra) |>> cons step
|
blanchet@39616
|
838 |
| first_pass ((step as Assume (l as (_, j), _)) :: proof, contra) =
|
blanchet@39618
|
839 |
if l = concl_l then first_pass (proof, contra ||> cons step)
|
blanchet@39618
|
840 |
else first_pass (proof, contra) |>> cons (Assume (l, nth hyp_ts j))
|
blanchet@38286
|
841 |
| first_pass (Have (qs, l, t, ByMetis (ls, ss)) :: proof, contra) =
|
blanchet@39618
|
842 |
let val step = Have (qs, l, t, ByMetis (ls, ss)) in
|
blanchet@38286
|
843 |
if exists (member (op =) (fst contra)) ls then
|
blanchet@38286
|
844 |
first_pass (proof, contra |>> cons l ||> cons step)
|
blanchet@38286
|
845 |
else
|
blanchet@38286
|
846 |
first_pass (proof, contra) |>> cons step
|
blanchet@38286
|
847 |
end
|
blanchet@38286
|
848 |
| first_pass _ = raise Fail "malformed proof"
|
blanchet@36402
|
849 |
val (proof_top, (contra_ls, contra_proof)) =
|
blanchet@39618
|
850 |
first_pass (proof, ([concl_l], []))
|
blanchet@36402
|
851 |
val backpatch_label = the_default ([], []) oo AList.lookup (op =) o fst
|
blanchet@36402
|
852 |
fun backpatch_labels patches ls =
|
blanchet@36402
|
853 |
fold merge_fact_sets (map (backpatch_label patches) ls) ([], [])
|
blanchet@36402
|
854 |
fun second_pass end_qs ([], assums, patches) =
|
blanchet@37321
|
855 |
([Have (end_qs, no_label, concl_t,
|
blanchet@36562
|
856 |
ByMetis (backpatch_labels patches (map snd assums)))], patches)
|
blanchet@36402
|
857 |
| second_pass end_qs (Assume (l, t) :: proof, assums, patches) =
|
blanchet@36402
|
858 |
second_pass end_qs (proof, (t, l) :: assums, patches)
|
blanchet@36562
|
859 |
| second_pass end_qs (Have (qs, l, t, ByMetis (ls, ss)) :: proof, assums,
|
blanchet@36402
|
860 |
patches) =
|
blanchet@39619
|
861 |
(if member (op =) (snd (snd patches)) l andalso
|
blanchet@39619
|
862 |
not (member (op =) (fst (snd patches)) l) andalso
|
blanchet@39619
|
863 |
not (AList.defined (op =) (fst patches) l) then
|
blanchet@39619
|
864 |
second_pass end_qs (proof, assums, patches ||> apsnd (append ls))
|
blanchet@39619
|
865 |
else case List.partition (member (op =) contra_ls) ls of
|
blanchet@39619
|
866 |
([contra_l], co_ls) =>
|
blanchet@39619
|
867 |
if member (op =) qs Show then
|
blanchet@39619
|
868 |
second_pass end_qs (proof, assums,
|
blanchet@39619
|
869 |
patches |>> cons (contra_l, (co_ls, ss)))
|
blanchet@39619
|
870 |
else
|
blanchet@39619
|
871 |
second_pass end_qs
|
blanchet@39619
|
872 |
(proof, assums,
|
blanchet@39619
|
873 |
patches |>> cons (contra_l, (l :: co_ls, ss)))
|
blanchet@39619
|
874 |
|>> cons (if member (op =) (fst (snd patches)) l then
|
blanchet@43477
|
875 |
Assume (l, s_not t)
|
blanchet@39619
|
876 |
else
|
blanchet@43477
|
877 |
Have (qs, l, s_not t,
|
blanchet@39619
|
878 |
ByMetis (backpatch_label patches l)))
|
blanchet@39619
|
879 |
| (contra_ls as _ :: _, co_ls) =>
|
blanchet@39619
|
880 |
let
|
blanchet@39619
|
881 |
val proofs =
|
blanchet@39619
|
882 |
map_filter
|
blanchet@39619
|
883 |
(fn l =>
|
blanchet@39619
|
884 |
if l = concl_l then
|
blanchet@39619
|
885 |
NONE
|
blanchet@39619
|
886 |
else
|
blanchet@39619
|
887 |
let
|
blanchet@39619
|
888 |
val drop_ls = filter (curry (op <>) l) contra_ls
|
blanchet@39619
|
889 |
in
|
blanchet@39619
|
890 |
second_pass []
|
blanchet@39619
|
891 |
(proof, assums,
|
blanchet@39619
|
892 |
patches ||> apfst (insert (op =) l)
|
blanchet@39619
|
893 |
||> apsnd (union (op =) drop_ls))
|
blanchet@39619
|
894 |
|> fst |> SOME
|
blanchet@39619
|
895 |
end) contra_ls
|
blanchet@39619
|
896 |
val (assumes, facts) =
|
blanchet@39619
|
897 |
if member (op =) (fst (snd patches)) l then
|
blanchet@43477
|
898 |
([Assume (l, s_not t)], (l :: co_ls, ss))
|
blanchet@39619
|
899 |
else
|
blanchet@39619
|
900 |
([], (co_ls, ss))
|
blanchet@39619
|
901 |
in
|
blanchet@39619
|
902 |
(case join_proofs proofs of
|
blanchet@39619
|
903 |
SOME (l, t, proofs, proof_tail) =>
|
blanchet@39619
|
904 |
Have (case_split_qualifiers proofs @
|
blanchet@39619
|
905 |
(if null proof_tail then end_qs else []), l, t,
|
blanchet@39619
|
906 |
smart_case_split proofs facts) :: proof_tail
|
blanchet@39619
|
907 |
| NONE =>
|
blanchet@39619
|
908 |
[Have (case_split_qualifiers proofs @ end_qs, no_label,
|
blanchet@39619
|
909 |
concl_t, smart_case_split proofs facts)],
|
blanchet@39619
|
910 |
patches)
|
blanchet@39619
|
911 |
|>> append assumes
|
blanchet@39619
|
912 |
end
|
blanchet@39619
|
913 |
| _ => raise Fail "malformed proof")
|
blanchet@36402
|
914 |
| second_pass _ _ = raise Fail "malformed proof"
|
blanchet@36482
|
915 |
val proof_bottom =
|
blanchet@36482
|
916 |
second_pass [Show] (contra_proof, [], ([], ([], []))) |> fst
|
blanchet@36402
|
917 |
in proof_top @ proof_bottom end
|
blanchet@36402
|
918 |
|
blanchet@38715
|
919 |
(* FIXME: Still needed? Probably not. *)
|
blanchet@36402
|
920 |
val kill_duplicate_assumptions_in_proof =
|
blanchet@36402
|
921 |
let
|
blanchet@36402
|
922 |
fun relabel_facts subst =
|
blanchet@36402
|
923 |
apfst (map (fn l => AList.lookup (op =) subst l |> the_default l))
|
blanchet@36487
|
924 |
fun do_step (step as Assume (l, t)) (proof, subst, assums) =
|
blanchet@36402
|
925 |
(case AList.lookup (op aconv) assums t of
|
blanchet@36960
|
926 |
SOME l' => (proof, (l, l') :: subst, assums)
|
blanchet@36487
|
927 |
| NONE => (step :: proof, subst, (t, l) :: assums))
|
blanchet@36402
|
928 |
| do_step (Have (qs, l, t, by)) (proof, subst, assums) =
|
blanchet@36402
|
929 |
(Have (qs, l, t,
|
blanchet@36402
|
930 |
case by of
|
blanchet@36562
|
931 |
ByMetis facts => ByMetis (relabel_facts subst facts)
|
blanchet@36402
|
932 |
| CaseSplit (proofs, facts) =>
|
blanchet@36402
|
933 |
CaseSplit (map do_proof proofs, relabel_facts subst facts)) ::
|
blanchet@36402
|
934 |
proof, subst, assums)
|
blanchet@36487
|
935 |
| do_step step (proof, subst, assums) = (step :: proof, subst, assums)
|
blanchet@36402
|
936 |
and do_proof proof = fold do_step proof ([], [], []) |> #1 |> rev
|
blanchet@36402
|
937 |
in do_proof end
|
blanchet@36402
|
938 |
|
blanchet@36402
|
939 |
val then_chain_proof =
|
blanchet@36402
|
940 |
let
|
blanchet@36402
|
941 |
fun aux _ [] = []
|
blanchet@36487
|
942 |
| aux _ ((step as Assume (l, _)) :: proof) = step :: aux l proof
|
blanchet@36402
|
943 |
| aux l' (Have (qs, l, t, by) :: proof) =
|
blanchet@36402
|
944 |
(case by of
|
blanchet@36562
|
945 |
ByMetis (ls, ss) =>
|
blanchet@36402
|
946 |
Have (if member (op =) ls l' then
|
blanchet@36402
|
947 |
(Then :: qs, l, t,
|
blanchet@36562
|
948 |
ByMetis (filter_out (curry (op =) l') ls, ss))
|
blanchet@36402
|
949 |
else
|
blanchet@36562
|
950 |
(qs, l, t, ByMetis (ls, ss)))
|
blanchet@36402
|
951 |
| CaseSplit (proofs, facts) =>
|
blanchet@36402
|
952 |
Have (qs, l, t, CaseSplit (map (aux no_label) proofs, facts))) ::
|
blanchet@36402
|
953 |
aux l proof
|
blanchet@36487
|
954 |
| aux _ (step :: proof) = step :: aux no_label proof
|
blanchet@36402
|
955 |
in aux no_label end
|
blanchet@36402
|
956 |
|
blanchet@36402
|
957 |
fun kill_useless_labels_in_proof proof =
|
blanchet@36402
|
958 |
let
|
blanchet@36554
|
959 |
val used_ls = used_labels_of proof
|
blanchet@36402
|
960 |
fun do_label l = if member (op =) used_ls l then l else no_label
|
blanchet@36554
|
961 |
fun do_step (Assume (l, t)) = Assume (do_label l, t)
|
blanchet@36554
|
962 |
| do_step (Have (qs, l, t, by)) =
|
blanchet@36402
|
963 |
Have (qs, do_label l, t,
|
blanchet@36402
|
964 |
case by of
|
blanchet@36402
|
965 |
CaseSplit (proofs, facts) =>
|
blanchet@36554
|
966 |
CaseSplit (map (map do_step) proofs, facts)
|
blanchet@36402
|
967 |
| _ => by)
|
blanchet@36554
|
968 |
| do_step step = step
|
blanchet@36554
|
969 |
in map do_step proof end
|
blanchet@36402
|
970 |
|
blanchet@36402
|
971 |
fun prefix_for_depth n = replicate_string (n + 1)
|
blanchet@36402
|
972 |
|
blanchet@36402
|
973 |
val relabel_proof =
|
blanchet@36402
|
974 |
let
|
blanchet@36402
|
975 |
fun aux _ _ _ [] = []
|
blanchet@36402
|
976 |
| aux subst depth (next_assum, next_fact) (Assume (l, t) :: proof) =
|
blanchet@36402
|
977 |
if l = no_label then
|
blanchet@36402
|
978 |
Assume (l, t) :: aux subst depth (next_assum, next_fact) proof
|
blanchet@36402
|
979 |
else
|
blanchet@36402
|
980 |
let val l' = (prefix_for_depth depth assum_prefix, next_assum) in
|
blanchet@36402
|
981 |
Assume (l', t) ::
|
blanchet@36402
|
982 |
aux ((l, l') :: subst) depth (next_assum + 1, next_fact) proof
|
blanchet@36402
|
983 |
end
|
blanchet@36402
|
984 |
| aux subst depth (next_assum, next_fact) (Have (qs, l, t, by) :: proof) =
|
blanchet@36402
|
985 |
let
|
blanchet@36402
|
986 |
val (l', subst, next_fact) =
|
blanchet@36402
|
987 |
if l = no_label then
|
blanchet@36402
|
988 |
(l, subst, next_fact)
|
blanchet@36402
|
989 |
else
|
blanchet@36402
|
990 |
let
|
blanchet@43051
|
991 |
val l' = (prefix_for_depth depth have_prefix, next_fact)
|
blanchet@36402
|
992 |
in (l', (l, l') :: subst, next_fact + 1) end
|
blanchet@36568
|
993 |
val relabel_facts =
|
blanchet@39616
|
994 |
apfst (maps (the_list o AList.lookup (op =) subst))
|
blanchet@36402
|
995 |
val by =
|
blanchet@36402
|
996 |
case by of
|
blanchet@36562
|
997 |
ByMetis facts => ByMetis (relabel_facts facts)
|
blanchet@36402
|
998 |
| CaseSplit (proofs, facts) =>
|
blanchet@36402
|
999 |
CaseSplit (map (aux subst (depth + 1) (1, 1)) proofs,
|
blanchet@36402
|
1000 |
relabel_facts facts)
|
blanchet@36402
|
1001 |
in
|
blanchet@36402
|
1002 |
Have (qs, l', t, by) ::
|
blanchet@36402
|
1003 |
aux subst depth (next_assum, next_fact) proof
|
blanchet@36402
|
1004 |
end
|
blanchet@36487
|
1005 |
| aux subst depth nextp (step :: proof) =
|
blanchet@36487
|
1006 |
step :: aux subst depth nextp proof
|
blanchet@36402
|
1007 |
in aux [] 0 (1, 1) end
|
blanchet@36402
|
1008 |
|
blanchet@43750
|
1009 |
fun string_for_proof ctxt0 full_types i n =
|
blanchet@36402
|
1010 |
let
|
blanchet@43626
|
1011 |
val ctxt =
|
blanchet@43626
|
1012 |
ctxt0 |> Config.put show_free_types false
|
blanchet@43626
|
1013 |
|> Config.put show_types true
|
blanchet@43626
|
1014 |
|> Config.put show_sorts true
|
blanchet@37316
|
1015 |
fun fix_print_mode f x =
|
wenzelm@39393
|
1016 |
Print_Mode.setmp (filter (curry (op =) Symbol.xsymbolsN)
|
wenzelm@39393
|
1017 |
(print_mode_value ())) f x
|
blanchet@36402
|
1018 |
fun do_indent ind = replicate_string (ind * indent_size) " "
|
blanchet@36474
|
1019 |
fun do_free (s, T) =
|
blanchet@36474
|
1020 |
maybe_quote s ^ " :: " ^
|
blanchet@36474
|
1021 |
maybe_quote (fix_print_mode (Syntax.string_of_typ ctxt) T)
|
blanchet@36568
|
1022 |
fun do_label l = if l = no_label then "" else string_for_label l ^ ": "
|
blanchet@36402
|
1023 |
fun do_have qs =
|
blanchet@36402
|
1024 |
(if member (op =) qs Moreover then "moreover " else "") ^
|
blanchet@36402
|
1025 |
(if member (op =) qs Ultimately then "ultimately " else "") ^
|
blanchet@36402
|
1026 |
(if member (op =) qs Then then
|
blanchet@36402
|
1027 |
if member (op =) qs Show then "thus" else "hence"
|
blanchet@36402
|
1028 |
else
|
blanchet@36402
|
1029 |
if member (op =) qs Show then "show" else "have")
|
blanchet@36474
|
1030 |
val do_term = maybe_quote o fix_print_mode (Syntax.string_of_term ctxt)
|
blanchet@44009
|
1031 |
val reconstructor = if full_types then MetisX else Metis
|
blanchet@36568
|
1032 |
fun do_facts (ls, ss) =
|
blanchet@43874
|
1033 |
reconstructor_command reconstructor 1 1
|
blanchet@43874
|
1034 |
(ls |> sort_distinct (prod_ord string_ord int_ord),
|
blanchet@43874
|
1035 |
ss |> sort_distinct string_ord)
|
blanchet@36474
|
1036 |
and do_step ind (Fix xs) =
|
blanchet@36474
|
1037 |
do_indent ind ^ "fix " ^ space_implode " and " (map do_free xs) ^ "\n"
|
blanchet@36482
|
1038 |
| do_step ind (Let (t1, t2)) =
|
blanchet@36482
|
1039 |
do_indent ind ^ "let " ^ do_term t1 ^ " = " ^ do_term t2 ^ "\n"
|
blanchet@36402
|
1040 |
| do_step ind (Assume (l, t)) =
|
blanchet@36402
|
1041 |
do_indent ind ^ "assume " ^ do_label l ^ do_term t ^ "\n"
|
blanchet@36562
|
1042 |
| do_step ind (Have (qs, l, t, ByMetis facts)) =
|
blanchet@36402
|
1043 |
do_indent ind ^ do_have qs ^ " " ^
|
blanchet@36475
|
1044 |
do_label l ^ do_term t ^ " " ^ do_facts facts ^ "\n"
|
blanchet@36402
|
1045 |
| do_step ind (Have (qs, l, t, CaseSplit (proofs, facts))) =
|
blanchet@36402
|
1046 |
space_implode (do_indent ind ^ "moreover\n")
|
blanchet@36402
|
1047 |
(map (do_block ind) proofs) ^
|
blanchet@36475
|
1048 |
do_indent ind ^ do_have qs ^ " " ^ do_label l ^ do_term t ^ " " ^
|
blanchet@36474
|
1049 |
do_facts facts ^ "\n"
|
blanchet@36402
|
1050 |
and do_steps prefix suffix ind steps =
|
blanchet@36402
|
1051 |
let val s = implode (map (do_step ind) steps) in
|
blanchet@36402
|
1052 |
replicate_string (ind * indent_size - size prefix) " " ^ prefix ^
|
blanchet@36402
|
1053 |
String.extract (s, ind * indent_size,
|
blanchet@36402
|
1054 |
SOME (size s - ind * indent_size - 1)) ^
|
blanchet@36402
|
1055 |
suffix ^ "\n"
|
blanchet@36402
|
1056 |
end
|
blanchet@36402
|
1057 |
and do_block ind proof = do_steps "{ " " }" (ind + 1) proof
|
blanchet@36562
|
1058 |
(* One-step proofs are pointless; better use the Metis one-liner
|
blanchet@36562
|
1059 |
directly. *)
|
blanchet@36562
|
1060 |
and do_proof [Have (_, _, _, ByMetis _)] = ""
|
blanchet@36562
|
1061 |
| do_proof proof =
|
blanchet@36476
|
1062 |
(if i <> 1 then "prefer " ^ string_of_int i ^ "\n" else "") ^
|
blanchet@39692
|
1063 |
do_indent 0 ^ "proof -\n" ^ do_steps "" "" 1 proof ^ do_indent 0 ^
|
blanchet@39692
|
1064 |
(if n <> 1 then "next" else "qed")
|
blanchet@36484
|
1065 |
in do_proof end
|
blanchet@36402
|
1066 |
|
blanchet@43903
|
1067 |
fun isar_proof_text ctxt isar_proof_requested
|
blanchet@43874
|
1068 |
(debug, full_types, isar_shrink_factor, type_sys, pool,
|
blanchet@43878
|
1069 |
conjecture_shape, facts_offset, fact_names, sym_tab, atp_proof, goal)
|
blanchet@43878
|
1070 |
(one_line_params as (_, _, _, _, subgoal, subgoal_count)) =
|
blanchet@36402
|
1071 |
let
|
blanchet@43903
|
1072 |
val isar_shrink_factor =
|
blanchet@43903
|
1073 |
(if isar_proof_requested then 1 else 2) * isar_shrink_factor
|
blanchet@43878
|
1074 |
val (params, hyp_ts, concl_t) = strip_subgoal ctxt goal subgoal
|
blanchet@36901
|
1075 |
val frees = fold Term.add_frees (concl_t :: hyp_ts) []
|
blanchet@43874
|
1076 |
val one_line_proof = one_line_proof_text one_line_params
|
blanchet@36283
|
1077 |
fun isar_proof_for () =
|
blanchet@43874
|
1078 |
case atp_proof
|
blanchet@43976
|
1079 |
|> isar_proof_from_atp_proof pool ctxt type_sys isar_shrink_factor
|
blanchet@43976
|
1080 |
conjecture_shape facts_offset fact_names sym_tab params frees
|
blanchet@39618
|
1081 |
|> redirect_proof hyp_ts concl_t
|
blanchet@36402
|
1082 |
|> kill_duplicate_assumptions_in_proof
|
blanchet@36402
|
1083 |
|> then_chain_proof
|
blanchet@36402
|
1084 |
|> kill_useless_labels_in_proof
|
blanchet@36402
|
1085 |
|> relabel_proof
|
blanchet@43878
|
1086 |
|> string_for_proof ctxt full_types subgoal subgoal_count of
|
blanchet@43903
|
1087 |
"" =>
|
blanchet@43903
|
1088 |
if isar_proof_requested then
|
blanchet@43903
|
1089 |
"\nNo structured proof available (proof too short)."
|
blanchet@43903
|
1090 |
else
|
blanchet@43903
|
1091 |
""
|
blanchet@43903
|
1092 |
| proof =>
|
blanchet@43903
|
1093 |
"\n\n" ^ (if isar_proof_requested then "Structured proof"
|
blanchet@43903
|
1094 |
else "Perhaps this will work") ^
|
blanchet@43903
|
1095 |
":\n" ^ Markup.markup Markup.sendback proof
|
blanchet@35868
|
1096 |
val isar_proof =
|
blanchet@36402
|
1097 |
if debug then
|
blanchet@36283
|
1098 |
isar_proof_for ()
|
blanchet@36283
|
1099 |
else
|
blanchet@43903
|
1100 |
case try isar_proof_for () of
|
blanchet@43903
|
1101 |
SOME s => s
|
blanchet@43903
|
1102 |
| NONE => if isar_proof_requested then
|
blanchet@43903
|
1103 |
"\nWarning: The Isar proof construction failed."
|
blanchet@43903
|
1104 |
else
|
blanchet@43903
|
1105 |
""
|
blanchet@43874
|
1106 |
in one_line_proof ^ isar_proof end
|
immler@31038
|
1107 |
|
blanchet@43874
|
1108 |
fun proof_text ctxt isar_proof isar_params
|
blanchet@43874
|
1109 |
(one_line_params as (preplay, _, _, _, _, _)) =
|
blanchet@44007
|
1110 |
(if case preplay of Failed_to_Play _ => true | _ => isar_proof then
|
blanchet@43903
|
1111 |
isar_proof_text ctxt isar_proof isar_params
|
blanchet@43874
|
1112 |
else
|
blanchet@43874
|
1113 |
one_line_proof_text) one_line_params
|
blanchet@36223
|
1114 |
|
immler@31038
|
1115 |
end;
|