author | blanchet |
Thu, 12 May 2011 15:29:19 +0200 | |
changeset 42759 | fdd15e889ad7 |
parent 42755 | 4603154a3018 |
child 42761 | 8ea9c6fa8b53 |
permissions | -rw-r--r-- |
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(* Title: HOL/Tools/Sledgehammer/sledgehammer_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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72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
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Proof reconstruction for Sledgehammer. |
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*) |
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||
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signature SLEDGEHAMMER_ATP_RECONSTRUCT = |
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Returning both a "one-line" proof and a structured proof
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sig |
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type 'a proof = 'a ATP_Proof.proof |
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type locality = Sledgehammer_Filter.locality |
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type type_system = Sledgehammer_ATP_Translate.type_system |
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type minimize_command = string list -> string |
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type metis_params = |
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string * minimize_command * type_system * string proof * int |
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* (string * locality) list vector * thm * int |
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type isar_params = |
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Proof.context * bool * int * string Symtab.table * int list list |
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* int Symtab.table |
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type text_result = string * (string * locality) list |
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|
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val repair_conjecture_shape_and_fact_names : |
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type_system -> string -> int list list -> int |
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-> (string * locality) list vector |
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-> int list list * int * (string * locality) list vector |
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val used_facts_in_atp_proof : |
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type_system -> int -> (string * locality) list vector -> string proof |
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-> (string * locality) list |
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val is_unsound_proof : |
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type_system -> int list list -> int -> (string * locality) list vector |
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-> string proof -> bool |
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generate a "using [[smt_solver = ...]]" command if a proof is found by another SMT solver than the current one, to ensure it's also used for reconstruction
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val apply_on_subgoal : string -> int -> int -> string |
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val command_call : string -> string list -> string |
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val try_command_line : string -> string -> string |
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val minimize_line : ('a list -> string) -> 'a list -> string |
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val split_used_facts : |
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(string * locality) list |
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-> (string * locality) list * (string * locality) list |
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automatically minimize Z3-as-an-ATP proofs (cf. CVC3 and Yices)
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val metis_proof_text : metis_params -> text_result |
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val isar_proof_text : isar_params -> metis_params -> text_result |
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val proof_text : bool -> isar_params -> metis_params -> text_result |
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end; |
21978
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Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
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|
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structure Sledgehammer_ATP_Reconstruct : SLEDGEHAMMER_ATP_RECONSTRUCT = |
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Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
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struct |
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
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|
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open ATP_Problem |
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open ATP_Proof |
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open Metis_Translate |
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open Sledgehammer_Util |
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open Sledgehammer_Filter |
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open Sledgehammer_ATP_Translate |
21978
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
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54 |
|
36281
dbbf4d5d584d
pass relevant options from "sledgehammer" to "sledgehammer minimize";
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parents:
36231
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type minimize_command = string list -> string |
38818
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56 |
type metis_params = |
42647
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parents:
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57 |
string * minimize_command * type_system * string proof * int |
41136
30bedf58b177
implemented new type system encoding "overload_args", which is more lightweight than "const_args" (the unsound default) and hopefully almost as sound
blanchet
parents:
40723
diff
changeset
|
58 |
* (string * locality) list vector * thm * int |
38818
61cf050f8b2e
improve SPASS hack, when a clause comes from several facts
blanchet
parents:
38752
diff
changeset
|
59 |
type isar_params = |
42647
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no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
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|
60 |
Proof.context * bool * int * string Symtab.table * int list list |
42755
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parents:
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* int Symtab.table |
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type text_result = string * (string * locality) list |
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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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||
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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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||
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use the same TSTP/Vampire/SPASS parser for one-liners as for Isar proofs
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(** SPASS's Flotter hack **) |
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73 |
|
40204
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standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
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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 tool. The "ATP/scripts/spass" script is also |
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part of this hack. *) |
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|
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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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|
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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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|
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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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103 |
|
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fun repair_conjecture_shape_and_fact_names type_sys output conjecture_shape |
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fact_offset fact_names = |
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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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standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
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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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123 |
in |
42587
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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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126 |
end |
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127 |
else |
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(conjecture_shape, fact_offset, fact_names) |
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129 |
|
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val vampire_step_prefix = "f" (* grrr... *) |
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131 |
|
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fun resolve_fact type_sys _ fact_names (_, SOME s) = |
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133 |
(case try (unprefix fact_prefix) s of |
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134 |
SOME s' => |
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135 |
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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138 |
| NONE => [] |
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139 |
end |
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| NONE => []) |
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| resolve_fact _ facts_offset fact_names (num, NONE) = |
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case Int.fromString (perhaps (try (unprefix vampire_step_prefix)) 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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148 |
[] |
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149 |
end |
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| NONE => [] |
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151 |
|
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fun resolve_conjecture _ (_, SOME s) = |
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153 |
(case try (unprefix conjecture_prefix) s of |
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154 |
SOME s' => |
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155 |
(case Int.fromString s' of |
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156 |
SOME j => [j] |
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157 |
| NONE => []) |
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158 |
| NONE => []) |
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159 |
| resolve_conjecture conjecture_shape (num, NONE) = |
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160 |
case Int.fromString (perhaps (try (unprefix vampire_step_prefix)) num) of |
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161 |
SOME i => |
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162 |
(case find_index (exists (curry (op =) i)) conjecture_shape of |
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163 |
~1 => [] |
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164 |
| j => [j]) |
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165 |
| NONE => [] |
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166 |
|
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167 |
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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fun is_conjecture conjecture_shape = |
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not o null o resolve_conjecture conjecture_shape |
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171 |
|
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172 |
fun add_fact type_sys facts_offset fact_names (Inference (name, _, [])) = |
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173 |
append (resolve_fact type_sys facts_offset fact_names name) |
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| add_fact _ _ _ _ = I |
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175 |
|
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176 |
fun used_facts_in_atp_proof type_sys facts_offset fact_names atp_proof = |
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177 |
if null atp_proof then Vector.foldl (op @) [] fact_names |
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else fold (add_fact type_sys facts_offset fact_names) atp_proof [] |
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179 |
|
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180 |
fun is_conjecture_referred_to_in_proof conjecture_shape = |
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181 |
exists (fn Inference (name, _, []) => is_conjecture conjecture_shape name |
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182 |
| _ => false) |
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183 |
|
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184 |
fun is_unsound_proof type_sys conjecture_shape facts_offset fact_names = |
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185 |
not o is_conjecture_referred_to_in_proof conjecture_shape andf |
42680 | 186 |
forall (is_locality_global o snd) |
187 |
o used_facts_in_atp_proof type_sys facts_offset fact_names |
|
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188 |
|
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189 |
(** Soft-core proof reconstruction: Metis one-liner **) |
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|
190 |
|
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191 |
fun string_for_label (s, num) = s ^ string_of_int num |
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192 |
|
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193 |
fun set_settings "" = "" |
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194 |
| set_settings settings = "using [[" ^ settings ^ "]] " |
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195 |
fun apply_on_subgoal settings _ 1 = set_settings settings ^ "by " |
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| apply_on_subgoal settings 1 _ = set_settings settings ^ "apply " |
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197 |
| apply_on_subgoal settings i n = |
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198 |
"prefer " ^ string_of_int i ^ " " ^ apply_on_subgoal settings 1 n |
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199 |
fun command_call name [] = name |
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200 |
| command_call name args = "(" ^ name ^ " " ^ space_implode " " args ^ ")" |
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201 |
fun try_command_line banner command = |
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202 |
banner ^ ": " ^ Markup.markup Markup.sendback command ^ "." |
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203 |
fun using_labels [] = "" |
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|
204 |
| using_labels ls = |
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|
205 |
"using " ^ space_implode " " (map string_for_label ls) ^ " " |
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|
206 |
fun metis_name full_types = if full_types then "metisFT" else "metis" |
42595 | 207 |
fun metis_call full_types ss = command_call (metis_name full_types) ss |
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208 |
fun metis_command full_types i n (ls, ss) = |
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209 |
using_labels ls ^ apply_on_subgoal "" i n ^ metis_call full_types ss |
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210 |
fun minimize_line _ [] = "" |
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|
211 |
| minimize_line minimize_command ss = |
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|
212 |
case minimize_command ss of |
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|
213 |
"" => "" |
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|
214 |
| command => |
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|
215 |
"\nTo minimize the number of lemmas, try this: " ^ |
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216 |
Markup.markup Markup.sendback command ^ "." |
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|
217 |
|
40723
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|
218 |
val split_used_facts = |
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|
219 |
List.partition (curry (op =) Chained o snd) |
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|
220 |
#> pairself (sort_distinct (string_ord o pairself fst)) |
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221 |
|
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222 |
fun metis_proof_text (banner, minimize_command, type_sys, atp_proof, |
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223 |
facts_offset, fact_names, goal, i) = |
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|
224 |
let |
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|
225 |
val (chained, extra) = |
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226 |
atp_proof |> used_facts_in_atp_proof type_sys facts_offset fact_names |
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227 |
|> split_used_facts |
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228 |
val n = Logic.count_prems (prop_of goal) |
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229 |
in |
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230 |
(try_command_line banner (metis_command false i n ([], map fst extra)) ^ |
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|
231 |
minimize_line minimize_command (map fst (extra @ chained)), |
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|
232 |
extra @ chained) |
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233 |
end |
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234 |
|
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235 |
(** Hard-core proof reconstruction: structured Isar proofs **) |
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236 |
|
38014 | 237 |
(* Simple simplifications to ensure that sort annotations don't leave a trail of |
238 |
spurious "True"s. *) |
|
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239 |
fun s_not (Const (@{const_name All}, T) $ Abs (s, T', t')) = |
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240 |
Const (@{const_name Ex}, T) $ Abs (s, T', s_not t') |
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241 |
| s_not (Const (@{const_name Ex}, T) $ Abs (s, T', t')) = |
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242 |
Const (@{const_name All}, T) $ Abs (s, T', s_not t') |
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| s_not (@{const HOL.implies} $ t1 $ t2) = @{const HOL.conj} $ t1 $ s_not t2 |
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| s_not (@{const HOL.conj} $ t1 $ t2) = |
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@{const HOL.disj} $ s_not t1 $ s_not t2 |
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| s_not (@{const HOL.disj} $ t1 $ t2) = |
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@{const HOL.conj} $ s_not t1 $ s_not t2 |
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| s_not (@{const False}) = @{const True} |
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| s_not (@{const True}) = @{const False} |
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| s_not (@{const Not} $ t) = t |
251 |
| s_not t = @{const Not} $ t |
|
252 |
fun s_conj (@{const True}, t2) = t2 |
|
253 |
| s_conj (t1, @{const True}) = t1 |
|
254 |
| s_conj p = HOLogic.mk_conj p |
|
255 |
fun s_disj (@{const False}, t2) = t2 |
|
256 |
| s_disj (t1, @{const False}) = t1 |
|
257 |
| s_disj p = HOLogic.mk_disj p |
|
258 |
fun s_imp (@{const True}, t2) = t2 |
|
259 |
| s_imp (t1, @{const False}) = s_not t1 |
|
260 |
| s_imp p = HOLogic.mk_imp p |
|
261 |
fun s_iff (@{const True}, t2) = t2 |
|
262 |
| s_iff (t1, @{const True}) = t1 |
|
263 |
| s_iff (t1, t2) = HOLogic.eq_const HOLogic.boolT $ t1 $ t2 |
|
264 |
||
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fun forall_of v t = HOLogic.all_const (fastype_of v) $ lambda v t |
266 |
fun exists_of v t = HOLogic.exists_const (fastype_of v) $ lambda v t |
|
267 |
||
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val indent_size = 2 |
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val no_label = ("", ~1) |
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270 |
|
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val raw_prefix = "X" |
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val assum_prefix = "A" |
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val have_prefix = "F" |
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274 |
|
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fun raw_label_for_name conjecture_shape name = |
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case resolve_conjecture conjecture_shape name of |
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[j] => (conjecture_prefix, j) |
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| _ => case Int.fromString (fst name) of |
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SOME j => (raw_prefix, j) |
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| NONE => (raw_prefix ^ fst name, 0) |
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281 |
|
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(**** INTERPRETATION OF TSTP SYNTAX TREES ****) |
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283 |
|
37991 | 284 |
exception FO_TERM of string fo_term list |
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285 |
exception FORMULA of (string, string, string fo_term) formula list |
37991 | 286 |
exception SAME of unit |
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287 |
|
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(* Type variables are given the basic sort "HOL.type". Some will later be |
37991 | 289 |
constrained by information from type literals, or by type inference. *) |
42563 | 290 |
fun typ_from_fo_term tfrees (u as ATerm (a, us)) = |
291 |
let val Ts = map (typ_from_fo_term tfrees) us in |
|
38748 | 292 |
case strip_prefix_and_unascii type_const_prefix a of |
37991 | 293 |
SOME b => Type (invert_const b, Ts) |
294 |
| NONE => |
|
295 |
if not (null us) then |
|
296 |
raise FO_TERM [u] (* only "tconst"s have type arguments *) |
|
38748 | 297 |
else case strip_prefix_and_unascii tfree_prefix a of |
37991 | 298 |
SOME b => |
299 |
let val s = "'" ^ b in |
|
300 |
TFree (s, AList.lookup (op =) tfrees s |> the_default HOLogic.typeS) |
|
301 |
end |
|
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| NONE => |
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case strip_prefix_and_unascii tvar_prefix a of |
37991 | 304 |
SOME b => TVar (("'" ^ b, 0), HOLogic.typeS) |
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305 |
| NONE => |
37991 | 306 |
(* Variable from the ATP, say "X1" *) |
307 |
Type_Infer.param 0 (a, HOLogic.typeS) |
|
308 |
end |
|
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309 |
|
38014 | 310 |
(* Type class literal applied to a type. Returns triple of polarity, class, |
311 |
type. *) |
|
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312 |
fun type_constraint_from_term tfrees (u as ATerm (a, us)) = |
38748 | 313 |
case (strip_prefix_and_unascii class_prefix a, |
42563 | 314 |
map (typ_from_fo_term tfrees) us) of |
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(SOME b, [T]) => (b, T) |
38014 | 316 |
| _ => raise FO_TERM [u] |
317 |
||
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318 |
(** Accumulate type constraints in a formula: negative type literals **) |
38014 | 319 |
fun add_var (key, z) = Vartab.map_default (key, []) (cons z) |
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320 |
fun add_type_constraint false (cl, TFree (a ,_)) = add_var ((a, ~1), cl) |
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321 |
| add_type_constraint false (cl, TVar (ix, _)) = add_var (ix, cl) |
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322 |
| add_type_constraint _ _ = I |
38014 | 323 |
|
38490 | 324 |
fun repair_atp_variable_name f s = |
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325 |
let |
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326 |
fun subscript_name s n = s ^ nat_subscript n |
38488 | 327 |
val s = String.map f s |
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328 |
in |
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329 |
case space_explode "_" s of |
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|
330 |
[_] => (case take_suffix Char.isDigit (String.explode s) of |
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|
331 |
(cs1 as _ :: _, cs2 as _ :: _) => |
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332 |
subscript_name (String.implode cs1) |
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|
333 |
(the (Int.fromString (String.implode cs2))) |
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|
334 |
| (_, _) => s) |
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|
335 |
| [s1, s2] => (case Int.fromString s2 of |
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336 |
SOME n => subscript_name s1 n |
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|
337 |
| NONE => s) |
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|
338 |
| _ => s |
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|
339 |
end |
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|
340 |
|
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|
341 |
(* First-order translation. No types are known for variables. "HOLogic.typeT" |
38014 | 342 |
should allow them to be inferred. *) |
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|
343 |
fun raw_term_from_pred thy sym_tab tfrees = |
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|
344 |
let |
37643
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|
345 |
fun aux opt_T extra_us u = |
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|
346 |
case u of |
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|
347 |
ATerm (a, us) => |
42589
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restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
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|
348 |
if String.isPrefix tff_type_prefix a then |
42551
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|
349 |
@{const True} (* ignore TFF type information *) |
38748 | 350 |
else case strip_prefix_and_unascii const_prefix a of |
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|
351 |
SOME "equal" => |
39106 | 352 |
let val ts = map (aux NONE []) us in |
353 |
if length ts = 2 andalso hd ts aconv List.last ts then |
|
354 |
(* Vampire is keen on producing these. *) |
|
355 |
@{const True} |
|
356 |
else |
|
357 |
list_comb (Const (@{const_name HOL.eq}, HOLogic.typeT), ts) |
|
358 |
end |
|
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|
359 |
| SOME s => |
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|
360 |
let val (s', mangled_us) = s |> unmangled_const |>> invert_const in |
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|
361 |
if s' = type_tag_name then |
42589
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
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|
362 |
case mangled_us @ us of |
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
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|
363 |
[typ_u, term_u] => |
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
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|
364 |
aux (SOME (typ_from_fo_term tfrees typ_u)) extra_us term_u |
9f7c48463645
restructured type systems some more -- the old naming schemes had "argshg diff |less" and "tagshg diff |less" as equivalent and didn't support a monomorphic version of "tags"
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|
365 |
| _ => raise FO_TERM us |
42755
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|
366 |
else if s' = predicator_base then |
42549
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|
367 |
aux (SOME @{typ bool}) [] (hd us) |
42755
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|
368 |
else if s' = explicit_app_base then |
42549
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|
369 |
aux opt_T (nth us 1 :: extra_us) (hd us) |
42755
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|
370 |
else if s' = type_pred_base then |
42551
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|
371 |
@{const True} (* ignore type predicates *) |
42549
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|
372 |
else |
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|
373 |
let |
42755
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|
374 |
val num_ty_args = |
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|
375 |
length us - the_default 0 (Symtab.lookup sym_tab s) |
42549
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|
376 |
val (type_us, term_us) = |
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|
377 |
chop num_ty_args us |>> append mangled_us |
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|
378 |
(* Extra args from "hAPP" come after any arguments given |
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|
379 |
directly to the constant. *) |
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|
380 |
val term_ts = map (aux NONE []) term_us |
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|
381 |
val extra_ts = map (aux NONE []) extra_us |
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|
382 |
val T = |
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|
383 |
case opt_T of |
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|
384 |
SOME T => map fastype_of term_ts ---> T |
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|
385 |
| NONE => |
42755
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|
386 |
if num_type_args thy s' = length type_us then |
42549
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|
387 |
Sign.const_instance thy |
42755
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|
388 |
(s', map (typ_from_fo_term tfrees) type_us) |
42549
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|
389 |
else |
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|
390 |
HOLogic.typeT |
42755
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|
391 |
val s' = s' |> unproxify_const |
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|
392 |
in list_comb (Const (s', T), term_ts @ extra_ts) end |
42549
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changeset
|
393 |
end |
36909
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made Sledgehammer's full-typed proof reconstruction work for the first time;
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|
394 |
| NONE => (* a free or schematic variable *) |
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
395 |
let |
37643
f576af716aa6
rewrote the TPTP problem generation code more or less from scratch;
blanchet
parents:
37624
diff
changeset
|
396 |
val ts = map (aux NONE []) (us @ extra_us) |
36909
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
397 |
val T = map fastype_of ts ---> HOLogic.typeT |
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
398 |
val t = |
38748 | 399 |
case strip_prefix_and_unascii fixed_var_prefix a of |
36909
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
400 |
SOME b => Free (b, T) |
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
401 |
| NONE => |
38748 | 402 |
case strip_prefix_and_unascii schematic_var_prefix a of |
36967
3c804030474b
fix bug in Isar proof reconstruction step relabeling + don't try to infer the sorts of TVars, since this often fails miserably
blanchet
parents:
36924
diff
changeset
|
403 |
SOME b => Var ((b, 0), T) |
36909
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
404 |
| NONE => |
39452 | 405 |
if is_atp_variable a then |
38490 | 406 |
Var ((repair_atp_variable_name Char.toLower a, 0), T) |
38017
3ad3e3ca2451
move Sledgehammer-specific code out of "Sledgehammer_TPTP_Format"
blanchet
parents:
38015
diff
changeset
|
407 |
else |
38488 | 408 |
(* Skolem constants? *) |
38490 | 409 |
Var ((repair_atp_variable_name Char.toUpper a, 0), T) |
36909
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
410 |
in list_comb (t, ts) end |
38014 | 411 |
in aux (SOME HOLogic.boolT) [] end |
21978
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
412 |
|
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
413 |
fun term_from_pred thy sym_tab tfrees pos (u as ATerm (s, _)) = |
38014 | 414 |
if String.isPrefix class_prefix s then |
42606
0c76cf483899
show sorts not just types in Isar proofs + tuning
blanchet
parents:
42595
diff
changeset
|
415 |
add_type_constraint pos (type_constraint_from_term tfrees u) |
38014 | 416 |
#> pair @{const True} |
417 |
else |
|
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
418 |
pair (raw_term_from_pred thy sym_tab tfrees u) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
419 |
|
36555
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
420 |
val combinator_table = |
39953
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
blanchet
parents:
39710
diff
changeset
|
421 |
[(@{const_name Meson.COMBI}, @{thm Meson.COMBI_def_raw}), |
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
blanchet
parents:
39710
diff
changeset
|
422 |
(@{const_name Meson.COMBK}, @{thm Meson.COMBK_def_raw}), |
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
blanchet
parents:
39710
diff
changeset
|
423 |
(@{const_name Meson.COMBB}, @{thm Meson.COMBB_def_raw}), |
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
blanchet
parents:
39710
diff
changeset
|
424 |
(@{const_name Meson.COMBC}, @{thm Meson.COMBC_def_raw}), |
aa54f347e5e2
hide uninteresting MESON/Metis constants and facts and remove "meson_" prefix to (now hidden) fact names
blanchet
parents:
39710
diff
changeset
|
425 |
(@{const_name Meson.COMBS}, @{thm Meson.COMBS_def_raw})] |
36555
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
426 |
|
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
427 |
fun uncombine_term (t1 $ t2) = betapply (pairself uncombine_term (t1, t2)) |
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
428 |
| uncombine_term (Abs (s, T, t')) = Abs (s, T, uncombine_term t') |
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
429 |
| uncombine_term (t as Const (x as (s, _))) = |
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
430 |
(case AList.lookup (op =) combinator_table s of |
42227
662b50b7126f
if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents:
42180
diff
changeset
|
431 |
SOME thm => thm |> prop_of |> specialize_type @{theory} x |
662b50b7126f
if "monomorphize" is enabled, mangle the type information in the names by default
blanchet
parents:
42180
diff
changeset
|
432 |
|> Logic.dest_equals |> snd |
36555
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
433 |
| NONE => t) |
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
434 |
| uncombine_term t = t |
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
435 |
|
37991 | 436 |
(* Update schematic type variables with detected sort constraints. It's not |
42563 | 437 |
totally clear whether this code is necessary. *) |
38014 | 438 |
fun repair_tvar_sorts (t, tvar_tab) = |
36909
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
439 |
let |
37991 | 440 |
fun do_type (Type (a, Ts)) = Type (a, map do_type Ts) |
441 |
| do_type (TVar (xi, s)) = |
|
442 |
TVar (xi, the_default s (Vartab.lookup tvar_tab xi)) |
|
443 |
| do_type (TFree z) = TFree z |
|
444 |
fun do_term (Const (a, T)) = Const (a, do_type T) |
|
445 |
| do_term (Free (a, T)) = Free (a, do_type T) |
|
446 |
| do_term (Var (xi, T)) = Var (xi, do_type T) |
|
447 |
| do_term (t as Bound _) = t |
|
448 |
| do_term (Abs (a, T, t)) = Abs (a, do_type T, do_term t) |
|
449 |
| do_term (t1 $ t2) = do_term t1 $ do_term t2 |
|
450 |
in t |> not (Vartab.is_empty tvar_tab) ? do_term end |
|
451 |
||
39425 | 452 |
fun quantify_over_var quant_of var_s t = |
453 |
let |
|
454 |
val vars = [] |> Term.add_vars t |> filter (fn ((s, _), _) => s = var_s) |
|
455 |
|> map Var |
|
456 |
in fold_rev quant_of vars t end |
|
37991 | 457 |
|
38085
cc44e887246c
avoid "clause" and "cnf" terminology where it no longer makes sense
blanchet
parents:
38066
diff
changeset
|
458 |
(* Interpret an ATP formula as a HOL term, extracting sort constraints as they |
cc44e887246c
avoid "clause" and "cnf" terminology where it no longer makes sense
blanchet
parents:
38066
diff
changeset
|
459 |
appear in the formula. *) |
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
460 |
fun prop_from_formula thy sym_tab tfrees phi = |
38014 | 461 |
let |
462 |
fun do_formula pos phi = |
|
37991 | 463 |
case phi of |
38014 | 464 |
AQuant (_, [], phi) => do_formula pos phi |
42526 | 465 |
| AQuant (q, (s, _) :: xs, phi') => |
38014 | 466 |
do_formula pos (AQuant (q, xs, phi')) |
42526 | 467 |
(* FIXME: TFF *) |
39425 | 468 |
#>> quantify_over_var (case q of |
469 |
AForall => forall_of |
|
470 |
| AExists => exists_of) |
|
42526 | 471 |
(repair_atp_variable_name Char.toLower s) |
38014 | 472 |
| AConn (ANot, [phi']) => do_formula (not pos) phi' #>> s_not |
37991 | 473 |
| AConn (c, [phi1, phi2]) => |
38014 | 474 |
do_formula (pos |> c = AImplies ? not) phi1 |
475 |
##>> do_formula pos phi2 |
|
476 |
#>> (case c of |
|
477 |
AAnd => s_conj |
|
478 |
| AOr => s_disj |
|
479 |
| AImplies => s_imp |
|
38038 | 480 |
| AIf => s_imp o swap |
481 |
| AIff => s_iff |
|
40069 | 482 |
| ANotIff => s_not o s_iff |
483 |
| _ => raise Fail "unexpected connective") |
|
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
484 |
| AAtom tm => term_from_pred thy sym_tab tfrees pos tm |
37991 | 485 |
| _ => raise FORMULA [phi] |
38014 | 486 |
in repair_tvar_sorts (do_formula true phi Vartab.empty) end |
37991 | 487 |
|
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
488 |
fun check_formula ctxt = |
39288 | 489 |
Type.constraint HOLogic.boolT |
42361 | 490 |
#> Syntax.check_term (Proof_Context.set_mode Proof_Context.mode_schematic ctxt) |
21978
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
491 |
|
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
492 |
|
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
493 |
(**** Translation of TSTP files to Isar Proofs ****) |
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
494 |
|
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
495 |
fun unvarify_term (Var ((s, 0), T)) = Free (s, T) |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
496 |
| unvarify_term t = raise TERM ("unvarify_term: non-Var", [t]) |
21978
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
497 |
|
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
498 |
fun decode_line sym_tab tfrees (Definition (name, phi1, phi2)) ctxt = |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
499 |
let |
42361 | 500 |
val thy = Proof_Context.theory_of ctxt |
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
501 |
val t1 = prop_from_formula thy sym_tab tfrees phi1 |
36551 | 502 |
val vars = snd (strip_comb t1) |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
503 |
val frees = map unvarify_term vars |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
504 |
val unvarify_args = subst_atomic (vars ~~ frees) |
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
505 |
val t2 = prop_from_formula thy sym_tab tfrees phi2 |
36551 | 506 |
val (t1, t2) = |
507 |
HOLogic.eq_const HOLogic.typeT $ t1 $ t2 |
|
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
508 |
|> unvarify_args |> uncombine_term |> check_formula ctxt |
36555
8ff45c2076da
expand combinators in Isar proofs constructed by Sledgehammer;
blanchet
parents:
36551
diff
changeset
|
509 |
|> HOLogic.dest_eq |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
510 |
in |
39368 | 511 |
(Definition (name, t1, t2), |
36551 | 512 |
fold Variable.declare_term (maps OldTerm.term_frees [t1, t2]) ctxt) |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
513 |
end |
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
514 |
| decode_line sym_tab tfrees (Inference (name, u, deps)) ctxt = |
36551 | 515 |
let |
42361 | 516 |
val thy = Proof_Context.theory_of ctxt |
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
517 |
val t = u |> prop_from_formula thy sym_tab tfrees |
37998 | 518 |
|> uncombine_term |> check_formula ctxt |
36551 | 519 |
in |
39368 | 520 |
(Inference (name, t, deps), |
36551 | 521 |
fold Variable.declare_term (OldTerm.term_frees t) ctxt) |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
522 |
end |
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
523 |
fun decode_lines ctxt sym_tab tfrees lines = |
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
524 |
fst (fold_map (decode_line sym_tab tfrees) lines ctxt) |
21978
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
525 |
|
38035 | 526 |
fun is_same_inference _ (Definition _) = false |
527 |
| is_same_inference t (Inference (_, t', _)) = t aconv t' |
|
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
528 |
|
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
529 |
(* No "real" literals means only type information (tfree_tcs, clsrel, or |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
530 |
clsarity). *) |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
531 |
val is_only_type_information = curry (op aconv) HOLogic.true_const |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
532 |
|
39373 | 533 |
fun replace_one_dependency (old, new) dep = |
39452 | 534 |
if is_same_step (dep, old) then new else [dep] |
39373 | 535 |
fun replace_dependencies_in_line _ (line as Definition _) = line |
536 |
| replace_dependencies_in_line p (Inference (name, t, deps)) = |
|
537 |
Inference (name, t, fold (union (op =) o replace_one_dependency p) deps []) |
|
21978
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
538 |
|
40204
da97d75e20e6
standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents:
40114
diff
changeset
|
539 |
(* Discard facts; consolidate adjacent lines that prove the same formula, since |
38085
cc44e887246c
avoid "clause" and "cnf" terminology where it no longer makes sense
blanchet
parents:
38066
diff
changeset
|
540 |
they differ only in type information.*) |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
541 |
fun add_line _ _ _ (line as Definition _) lines = line :: lines |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
542 |
| add_line type_sys conjecture_shape fact_names (Inference (name, t, [])) |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
543 |
lines = |
40204
da97d75e20e6
standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents:
40114
diff
changeset
|
544 |
(* No dependencies: fact, conjecture, or (for Vampire) internal facts or |
38085
cc44e887246c
avoid "clause" and "cnf" terminology where it no longer makes sense
blanchet
parents:
38066
diff
changeset
|
545 |
definitions. *) |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
546 |
if is_fact type_sys fact_names name then |
40204
da97d75e20e6
standardize on "fact" terminology (vs. "axiom" or "theorem") in Sledgehammer -- but keep "Axiom" in the lower-level "ATP_Problem" module
blanchet
parents:
40114
diff
changeset
|
547 |
(* Facts are not proof lines. *) |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
548 |
if is_only_type_information t then |
39373 | 549 |
map (replace_dependencies_in_line (name, [])) lines |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
550 |
(* Is there a repetition? If so, replace later line by earlier one. *) |
38035 | 551 |
else case take_prefix (not o is_same_inference t) lines of |
39373 | 552 |
(_, []) => lines (* no repetition of proof line *) |
39368 | 553 |
| (pre, Inference (name', _, _) :: post) => |
39373 | 554 |
pre @ map (replace_dependencies_in_line (name', [name])) post |
40069 | 555 |
| _ => raise Fail "unexpected inference" |
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39368
diff
changeset
|
556 |
else if is_conjecture conjecture_shape name then |
42606
0c76cf483899
show sorts not just types in Isar proofs + tuning
blanchet
parents:
42595
diff
changeset
|
557 |
Inference (name, s_not t, []) :: lines |
36551 | 558 |
else |
39373 | 559 |
map (replace_dependencies_in_line (name, [])) lines |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
560 |
| add_line _ _ _ (Inference (name, t, deps)) lines = |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
561 |
(* Type information will be deleted later; skip repetition test. *) |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
562 |
if is_only_type_information t then |
39368 | 563 |
Inference (name, t, deps) :: lines |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
564 |
(* Is there a repetition? If so, replace later line by earlier one. *) |
38035 | 565 |
else case take_prefix (not o is_same_inference t) lines of |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
566 |
(* FIXME: Doesn't this code risk conflating proofs involving different |
38035 | 567 |
types? *) |
39368 | 568 |
(_, []) => Inference (name, t, deps) :: lines |
569 |
| (pre, Inference (name', t', _) :: post) => |
|
570 |
Inference (name, t', deps) :: |
|
39373 | 571 |
pre @ map (replace_dependencies_in_line (name', [name])) post |
40069 | 572 |
| _ => raise Fail "unexpected inference" |
22044
6c0702a96076
More compact proof reconstruction: lines having fewer than !min_deps dependences are folded
paulson
parents:
22012
diff
changeset
|
573 |
|
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
574 |
(* Recursively delete empty lines (type information) from the proof. *) |
39368 | 575 |
fun add_nontrivial_line (Inference (name, t, [])) lines = |
39373 | 576 |
if is_only_type_information t then delete_dependency name lines |
39368 | 577 |
else Inference (name, t, []) :: lines |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
578 |
| add_nontrivial_line line lines = line :: lines |
39373 | 579 |
and delete_dependency name lines = |
580 |
fold_rev add_nontrivial_line |
|
581 |
(map (replace_dependencies_in_line (name, [])) lines) [] |
|
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
582 |
|
37323 | 583 |
(* ATPs sometimes reuse free variable names in the strangest ways. Removing |
584 |
offending lines often does the trick. *) |
|
36560
45c1870f234f
fixed definition of "bad frees" so that it actually works
blanchet
parents:
36559
diff
changeset
|
585 |
fun is_bad_free frees (Free x) = not (member (op =) frees x) |
45c1870f234f
fixed definition of "bad frees" so that it actually works
blanchet
parents:
36559
diff
changeset
|
586 |
| is_bad_free _ _ = false |
22470
0d52e5157124
No label on "show"; tries to remove dependencies more cleanly
paulson
parents:
22428
diff
changeset
|
587 |
|
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
588 |
fun add_desired_line _ _ _ _ _ (line as Definition (name, _, _)) (j, lines) = |
39373 | 589 |
(j, line :: map (replace_dependencies_in_line (name, [])) lines) |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
590 |
| add_desired_line type_sys isar_shrink_factor conjecture_shape fact_names |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
591 |
frees (Inference (name, t, deps)) (j, lines) = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
592 |
(j + 1, |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
593 |
if is_fact type_sys fact_names name orelse |
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39368
diff
changeset
|
594 |
is_conjecture conjecture_shape name orelse |
39373 | 595 |
(* the last line must be kept *) |
596 |
j = 0 orelse |
|
36570
9bebcb40599f
identify axioms/conjectures more reliably in ATP proofs (an empty dependency list doesn't always indicate an axiom or conjecture!)
blanchet
parents:
36567
diff
changeset
|
597 |
(not (is_only_type_information t) andalso |
9bebcb40599f
identify axioms/conjectures more reliably in ATP proofs (an empty dependency list doesn't always indicate an axiom or conjecture!)
blanchet
parents:
36567
diff
changeset
|
598 |
null (Term.add_tvars t []) andalso |
9bebcb40599f
identify axioms/conjectures more reliably in ATP proofs (an empty dependency list doesn't always indicate an axiom or conjecture!)
blanchet
parents:
36567
diff
changeset
|
599 |
not (exists_subterm (is_bad_free frees) t) andalso |
39373 | 600 |
length deps >= 2 andalso j mod isar_shrink_factor = 0 andalso |
601 |
(* kill next to last line, which usually results in a trivial step *) |
|
602 |
j <> 1) then |
|
39368 | 603 |
Inference (name, t, deps) :: lines (* keep line *) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
604 |
else |
39373 | 605 |
map (replace_dependencies_in_line (name, deps)) lines) (* drop line *) |
21978
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
606 |
|
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
607 |
(** Isar proof construction and manipulation **) |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
608 |
|
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
609 |
fun merge_fact_sets (ls1, ss1) (ls2, ss2) = |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
610 |
(union (op =) ls1 ls2, union (op =) ss1 ss2) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
611 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
612 |
type label = string * int |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
613 |
type facts = label list * string list |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
614 |
|
39452 | 615 |
datatype isar_qualifier = Show | Then | Moreover | Ultimately |
36291
b4c2043cc96c
added Isar proof reconstruction support for SPASS -- which means all provers can now yield Isar proofs;
blanchet
parents:
36288
diff
changeset
|
616 |
|
39452 | 617 |
datatype isar_step = |
36478
1aba777a367f
fix types of "fix" variables to help proof reconstruction and aid readability
blanchet
parents:
36477
diff
changeset
|
618 |
Fix of (string * typ) list | |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
619 |
Let of term * term | |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
620 |
Assume of label * term | |
39452 | 621 |
Have of isar_qualifier list * label * term * byline |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
622 |
and byline = |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
623 |
ByMetis of facts | |
39452 | 624 |
CaseSplit of isar_step list list * facts |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
625 |
|
36574 | 626 |
fun smart_case_split [] facts = ByMetis facts |
627 |
| smart_case_split proofs facts = CaseSplit (proofs, facts) |
|
628 |
||
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
629 |
fun add_fact_from_dependency type_sys conjecture_shape facts_offset fact_names |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
630 |
name = |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
631 |
if is_fact type_sys fact_names name then |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
632 |
apsnd (union (op =) |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
633 |
(map fst (resolve_fact type_sys facts_offset fact_names name))) |
36475
05209b869a6b
new Isar proof construction code: stringfy axiom names correctly
blanchet
parents:
36474
diff
changeset
|
634 |
else |
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39368
diff
changeset
|
635 |
apfst (insert (op =) (raw_label_for_name conjecture_shape name)) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
636 |
|
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
637 |
fun step_for_line _ _ _ _ _ (Definition (_, t1, t2)) = Let (t1, t2) |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
638 |
| step_for_line _ conjecture_shape _ _ _ (Inference (name, t, [])) = |
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39368
diff
changeset
|
639 |
Assume (raw_label_for_name conjecture_shape name, t) |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
640 |
| step_for_line type_sys conjecture_shape facts_offset |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
641 |
fact_names j (Inference (name, t, deps)) = |
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39368
diff
changeset
|
642 |
Have (if j = 1 then [Show] else [], |
39425 | 643 |
raw_label_for_name conjecture_shape name, |
644 |
fold_rev forall_of (map Var (Term.add_vars t [])) t, |
|
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
645 |
ByMetis (fold (add_fact_from_dependency type_sys conjecture_shape |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
646 |
facts_offset fact_names) |
39373 | 647 |
deps ([], []))) |
36291
b4c2043cc96c
added Isar proof reconstruction support for SPASS -- which means all provers can now yield Isar proofs;
blanchet
parents:
36288
diff
changeset
|
648 |
|
39454 | 649 |
fun repair_name "$true" = "c_True" |
650 |
| repair_name "$false" = "c_False" |
|
651 |
| repair_name "$$e" = "c_equal" (* seen in Vampire proofs *) |
|
652 |
| repair_name "equal" = "c_equal" (* needed by SPASS? *) |
|
653 |
| repair_name s = |
|
654 |
if String.isPrefix "sQ" s andalso String.isSuffix "_eqProxy" s then |
|
655 |
"c_equal" (* seen in Vampire proofs *) |
|
656 |
else |
|
657 |
s |
|
658 |
||
42449
494e4ac5b0f8
detect some unsound proofs before showing them to the user
blanchet
parents:
42361
diff
changeset
|
659 |
fun isar_proof_from_atp_proof pool ctxt type_sys tfrees isar_shrink_factor |
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
660 |
atp_proof conjecture_shape facts_offset fact_names sym_tab params |
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
661 |
frees = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
662 |
let |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
663 |
val lines = |
42449
494e4ac5b0f8
detect some unsound proofs before showing them to the user
blanchet
parents:
42361
diff
changeset
|
664 |
atp_proof |
39454 | 665 |
|> nasty_atp_proof pool |
666 |
|> map_term_names_in_atp_proof repair_name |
|
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
667 |
|> decode_lines ctxt sym_tab tfrees |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
668 |
|> rpair [] |-> fold_rev (add_line type_sys conjecture_shape fact_names) |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
669 |
|> rpair [] |-> fold_rev add_nontrivial_line |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
670 |
|> rpair (0, []) |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
671 |
|-> fold_rev (add_desired_line type_sys isar_shrink_factor |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
672 |
conjecture_shape fact_names frees) |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
673 |
|> snd |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
674 |
in |
36909
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
675 |
(if null params then [] else [Fix params]) @ |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
676 |
map2 (step_for_line type_sys conjecture_shape facts_offset fact_names) |
42541
8938507b2054
move type declarations to the front, for TFF-compliance
blanchet
parents:
42539
diff
changeset
|
677 |
(length lines downto 1) lines |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
678 |
end |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
679 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
680 |
(* When redirecting proofs, we keep information about the labels seen so far in |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
681 |
the "backpatches" data structure. The first component indicates which facts |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
682 |
should be associated with forthcoming proof steps. The second component is a |
37322
0347b1a16682
fix bug in direct Isar proofs, which was exhibited by the "BigO" example
blanchet
parents:
37319
diff
changeset
|
683 |
pair ("assum_ls", "drop_ls"), where "assum_ls" are the labels that should |
0347b1a16682
fix bug in direct Isar proofs, which was exhibited by the "BigO" example
blanchet
parents:
37319
diff
changeset
|
684 |
become assumptions and "drop_ls" are the labels that should be dropped in a |
0347b1a16682
fix bug in direct Isar proofs, which was exhibited by the "BigO" example
blanchet
parents:
37319
diff
changeset
|
685 |
case split. *) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
686 |
type backpatches = (label * facts) list * (label list * label list) |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
687 |
|
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
688 |
fun used_labels_of_step (Have (_, _, _, by)) = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
689 |
(case by of |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
690 |
ByMetis (ls, _) => ls |
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
691 |
| CaseSplit (proofs, (ls, _)) => |
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
692 |
fold (union (op =) o used_labels_of) proofs ls) |
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
693 |
| used_labels_of_step _ = [] |
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
694 |
and used_labels_of proof = fold (union (op =) o used_labels_of_step) proof [] |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
695 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
696 |
fun new_labels_of_step (Fix _) = [] |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
697 |
| new_labels_of_step (Let _) = [] |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
698 |
| new_labels_of_step (Assume (l, _)) = [l] |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
699 |
| new_labels_of_step (Have (_, l, _, _)) = [l] |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
700 |
val new_labels_of = maps new_labels_of_step |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
701 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
702 |
val join_proofs = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
703 |
let |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
704 |
fun aux _ [] = NONE |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
705 |
| aux proof_tail (proofs as (proof1 :: _)) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
706 |
if exists null proofs then |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
707 |
NONE |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
708 |
else if forall (curry (op =) (hd proof1) o hd) (tl proofs) then |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
709 |
aux (hd proof1 :: proof_tail) (map tl proofs) |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
710 |
else case hd proof1 of |
37498
b426cbdb5a23
removed Sledgehammer's support for the DFG syntax;
blanchet
parents:
37479
diff
changeset
|
711 |
Have ([], l, t, _) => (* FIXME: should we really ignore the "by"? *) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
712 |
if forall (fn Have ([], l', t', _) :: _ => (l, t) = (l', t') |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
713 |
| _ => false) (tl proofs) andalso |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
714 |
not (exists (member (op =) (maps new_labels_of proofs)) |
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
715 |
(used_labels_of proof_tail)) then |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
716 |
SOME (l, t, map rev proofs, proof_tail) |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
717 |
else |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
718 |
NONE |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
719 |
| _ => NONE |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
720 |
in aux [] o map rev end |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
721 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
722 |
fun case_split_qualifiers proofs = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
723 |
case length proofs of |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
724 |
0 => [] |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
725 |
| 1 => [Then] |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
726 |
| _ => [Ultimately] |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
727 |
|
39372
2fd8a9a7080d
first step in generalizing to nonnumeric proof step names (e.g. remote Vampire 0.6)
blanchet
parents:
39370
diff
changeset
|
728 |
fun redirect_proof hyp_ts concl_t proof = |
33310 | 729 |
let |
37324
d77250dd2416
fix bugs in Sledgehammer's Isar proof "redirection" code
blanchet
parents:
37323
diff
changeset
|
730 |
(* The first pass outputs those steps that are independent of the negated |
d77250dd2416
fix bugs in Sledgehammer's Isar proof "redirection" code
blanchet
parents:
37323
diff
changeset
|
731 |
conjecture. The second pass flips the proof by contradiction to obtain a |
d77250dd2416
fix bugs in Sledgehammer's Isar proof "redirection" code
blanchet
parents:
37323
diff
changeset
|
732 |
direct proof, introducing case splits when an inference depends on |
d77250dd2416
fix bugs in Sledgehammer's Isar proof "redirection" code
blanchet
parents:
37323
diff
changeset
|
733 |
several facts that depend on the negated conjecture. *) |
39372
2fd8a9a7080d
first step in generalizing to nonnumeric proof step names (e.g. remote Vampire 0.6)
blanchet
parents:
39370
diff
changeset
|
734 |
val concl_l = (conjecture_prefix, length hyp_ts) |
38040
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
735 |
fun first_pass ([], contra) = ([], contra) |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
736 |
| first_pass ((step as Fix _) :: proof, contra) = |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
737 |
first_pass (proof, contra) |>> cons step |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
738 |
| first_pass ((step as Let _) :: proof, contra) = |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
739 |
first_pass (proof, contra) |>> cons step |
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39368
diff
changeset
|
740 |
| first_pass ((step as Assume (l as (_, j), _)) :: proof, contra) = |
39372
2fd8a9a7080d
first step in generalizing to nonnumeric proof step names (e.g. remote Vampire 0.6)
blanchet
parents:
39370
diff
changeset
|
741 |
if l = concl_l then first_pass (proof, contra ||> cons step) |
2fd8a9a7080d
first step in generalizing to nonnumeric proof step names (e.g. remote Vampire 0.6)
blanchet
parents:
39370
diff
changeset
|
742 |
else first_pass (proof, contra) |>> cons (Assume (l, nth hyp_ts j)) |
38040
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
743 |
| first_pass (Have (qs, l, t, ByMetis (ls, ss)) :: proof, contra) = |
39372
2fd8a9a7080d
first step in generalizing to nonnumeric proof step names (e.g. remote Vampire 0.6)
blanchet
parents:
39370
diff
changeset
|
744 |
let val step = Have (qs, l, t, ByMetis (ls, ss)) in |
38040
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
745 |
if exists (member (op =) (fst contra)) ls then |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
746 |
first_pass (proof, contra |>> cons l ||> cons step) |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
747 |
else |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
748 |
first_pass (proof, contra) |>> cons step |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
749 |
end |
174568533593
fix bug in the SPASS Flotter hack, when a conjecture FOF is translated to several CNF clauses
blanchet
parents:
38039
diff
changeset
|
750 |
| first_pass _ = raise Fail "malformed proof" |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
751 |
val (proof_top, (contra_ls, contra_proof)) = |
39372
2fd8a9a7080d
first step in generalizing to nonnumeric proof step names (e.g. remote Vampire 0.6)
blanchet
parents:
39370
diff
changeset
|
752 |
first_pass (proof, ([concl_l], [])) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
753 |
val backpatch_label = the_default ([], []) oo AList.lookup (op =) o fst |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
754 |
fun backpatch_labels patches ls = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
755 |
fold merge_fact_sets (map (backpatch_label patches) ls) ([], []) |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
756 |
fun second_pass end_qs ([], assums, patches) = |
37324
d77250dd2416
fix bugs in Sledgehammer's Isar proof "redirection" code
blanchet
parents:
37323
diff
changeset
|
757 |
([Have (end_qs, no_label, concl_t, |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
758 |
ByMetis (backpatch_labels patches (map snd assums)))], patches) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
759 |
| second_pass end_qs (Assume (l, t) :: proof, assums, patches) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
760 |
second_pass end_qs (proof, (t, l) :: assums, patches) |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
761 |
| second_pass end_qs (Have (qs, l, t, ByMetis (ls, ss)) :: proof, assums, |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
762 |
patches) = |
39373 | 763 |
(if member (op =) (snd (snd patches)) l andalso |
764 |
not (member (op =) (fst (snd patches)) l) andalso |
|
765 |
not (AList.defined (op =) (fst patches) l) then |
|
766 |
second_pass end_qs (proof, assums, patches ||> apsnd (append ls)) |
|
767 |
else case List.partition (member (op =) contra_ls) ls of |
|
768 |
([contra_l], co_ls) => |
|
769 |
if member (op =) qs Show then |
|
770 |
second_pass end_qs (proof, assums, |
|
771 |
patches |>> cons (contra_l, (co_ls, ss))) |
|
772 |
else |
|
773 |
second_pass end_qs |
|
774 |
(proof, assums, |
|
775 |
patches |>> cons (contra_l, (l :: co_ls, ss))) |
|
776 |
|>> cons (if member (op =) (fst (snd patches)) l then |
|
42606
0c76cf483899
show sorts not just types in Isar proofs + tuning
blanchet
parents:
42595
diff
changeset
|
777 |
Assume (l, s_not t) |
39373 | 778 |
else |
42606
0c76cf483899
show sorts not just types in Isar proofs + tuning
blanchet
parents:
42595
diff
changeset
|
779 |
Have (qs, l, s_not t, |
39373 | 780 |
ByMetis (backpatch_label patches l))) |
781 |
| (contra_ls as _ :: _, co_ls) => |
|
782 |
let |
|
783 |
val proofs = |
|
784 |
map_filter |
|
785 |
(fn l => |
|
786 |
if l = concl_l then |
|
787 |
NONE |
|
788 |
else |
|
789 |
let |
|
790 |
val drop_ls = filter (curry (op <>) l) contra_ls |
|
791 |
in |
|
792 |
second_pass [] |
|
793 |
(proof, assums, |
|
794 |
patches ||> apfst (insert (op =) l) |
|
795 |
||> apsnd (union (op =) drop_ls)) |
|
796 |
|> fst |> SOME |
|
797 |
end) contra_ls |
|
798 |
val (assumes, facts) = |
|
799 |
if member (op =) (fst (snd patches)) l then |
|
42606
0c76cf483899
show sorts not just types in Isar proofs + tuning
blanchet
parents:
42595
diff
changeset
|
800 |
([Assume (l, s_not t)], (l :: co_ls, ss)) |
39373 | 801 |
else |
802 |
([], (co_ls, ss)) |
|
803 |
in |
|
804 |
(case join_proofs proofs of |
|
805 |
SOME (l, t, proofs, proof_tail) => |
|
806 |
Have (case_split_qualifiers proofs @ |
|
807 |
(if null proof_tail then end_qs else []), l, t, |
|
808 |
smart_case_split proofs facts) :: proof_tail |
|
809 |
| NONE => |
|
810 |
[Have (case_split_qualifiers proofs @ end_qs, no_label, |
|
811 |
concl_t, smart_case_split proofs facts)], |
|
812 |
patches) |
|
813 |
|>> append assumes |
|
814 |
end |
|
815 |
| _ => raise Fail "malformed proof") |
|
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
816 |
| second_pass _ _ = raise Fail "malformed proof" |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
817 |
val proof_bottom = |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
818 |
second_pass [Show] (contra_proof, [], ([], ([], []))) |> fst |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
819 |
in proof_top @ proof_bottom end |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
820 |
|
38490 | 821 |
(* FIXME: Still needed? Probably not. *) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
822 |
val kill_duplicate_assumptions_in_proof = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
823 |
let |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
824 |
fun relabel_facts subst = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
825 |
apfst (map (fn l => AList.lookup (op =) subst l |> the_default l)) |
36491
6769f8eacaac
unskolemize formulas in proof reconstruction + detect newer SPASS versions to avoid truncating identifiers if not necessary (truncating confuses proof reconstruction)
blanchet
parents:
36488
diff
changeset
|
826 |
fun do_step (step as Assume (l, t)) (proof, subst, assums) = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
827 |
(case AList.lookup (op aconv) assums t of |
36967
3c804030474b
fix bug in Isar proof reconstruction step relabeling + don't try to infer the sorts of TVars, since this often fails miserably
blanchet
parents:
36924
diff
changeset
|
828 |
SOME l' => (proof, (l, l') :: subst, assums) |
36491
6769f8eacaac
unskolemize formulas in proof reconstruction + detect newer SPASS versions to avoid truncating identifiers if not necessary (truncating confuses proof reconstruction)
blanchet
parents:
36488
diff
changeset
|
829 |
| NONE => (step :: proof, subst, (t, l) :: assums)) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
830 |
| do_step (Have (qs, l, t, by)) (proof, subst, assums) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
831 |
(Have (qs, l, t, |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
832 |
case by of |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
833 |
ByMetis facts => ByMetis (relabel_facts subst facts) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
834 |
| CaseSplit (proofs, facts) => |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
835 |
CaseSplit (map do_proof proofs, relabel_facts subst facts)) :: |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
836 |
proof, subst, assums) |
36491
6769f8eacaac
unskolemize formulas in proof reconstruction + detect newer SPASS versions to avoid truncating identifiers if not necessary (truncating confuses proof reconstruction)
blanchet
parents:
36488
diff
changeset
|
837 |
| do_step step (proof, subst, assums) = (step :: proof, subst, assums) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
838 |
and do_proof proof = fold do_step proof ([], [], []) |> #1 |> rev |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
839 |
in do_proof end |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
840 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
841 |
val then_chain_proof = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
842 |
let |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
843 |
fun aux _ [] = [] |
36491
6769f8eacaac
unskolemize formulas in proof reconstruction + detect newer SPASS versions to avoid truncating identifiers if not necessary (truncating confuses proof reconstruction)
blanchet
parents:
36488
diff
changeset
|
844 |
| aux _ ((step as Assume (l, _)) :: proof) = step :: aux l proof |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
845 |
| aux l' (Have (qs, l, t, by) :: proof) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
846 |
(case by of |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
847 |
ByMetis (ls, ss) => |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
848 |
Have (if member (op =) ls l' then |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
849 |
(Then :: qs, l, t, |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
850 |
ByMetis (filter_out (curry (op =) l') ls, ss)) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
851 |
else |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
852 |
(qs, l, t, ByMetis (ls, ss))) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
853 |
| CaseSplit (proofs, facts) => |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
854 |
Have (qs, l, t, CaseSplit (map (aux no_label) proofs, facts))) :: |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
855 |
aux l proof |
36491
6769f8eacaac
unskolemize formulas in proof reconstruction + detect newer SPASS versions to avoid truncating identifiers if not necessary (truncating confuses proof reconstruction)
blanchet
parents:
36488
diff
changeset
|
856 |
| aux _ (step :: proof) = step :: aux no_label proof |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
857 |
in aux no_label end |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
858 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
859 |
fun kill_useless_labels_in_proof proof = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
860 |
let |
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
861 |
val used_ls = used_labels_of proof |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
862 |
fun do_label l = if member (op =) used_ls l then l else no_label |
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
863 |
fun do_step (Assume (l, t)) = Assume (do_label l, t) |
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
864 |
| do_step (Have (qs, l, t, by)) = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
865 |
Have (qs, do_label l, t, |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
866 |
case by of |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
867 |
CaseSplit (proofs, facts) => |
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
868 |
CaseSplit (map (map do_step) proofs, facts) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
869 |
| _ => by) |
36556
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
870 |
| do_step step = step |
81dc2c20f052
use readable names in "debug" mode for type vars + don't pipe facts using "using" but rather give them directly to metis (works better with type variables)
blanchet
parents:
36555
diff
changeset
|
871 |
in map do_step proof end |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
872 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
873 |
fun prefix_for_depth n = replicate_string (n + 1) |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
874 |
|
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
875 |
val relabel_proof = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
876 |
let |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
877 |
fun aux _ _ _ [] = [] |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
878 |
| aux subst depth (next_assum, next_fact) (Assume (l, t) :: proof) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
879 |
if l = no_label then |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
880 |
Assume (l, t) :: aux subst depth (next_assum, next_fact) proof |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
881 |
else |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
882 |
let val l' = (prefix_for_depth depth assum_prefix, next_assum) in |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
883 |
Assume (l', t) :: |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
884 |
aux ((l, l') :: subst) depth (next_assum + 1, next_fact) proof |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
885 |
end |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
886 |
| aux subst depth (next_assum, next_fact) (Have (qs, l, t, by) :: proof) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
887 |
let |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
888 |
val (l', subst, next_fact) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
889 |
if l = no_label then |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
890 |
(l, subst, next_fact) |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
891 |
else |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
892 |
let |
42180
a6c141925a8a
added monomorphization option to Sledgehammer ATPs -- this looks promising but is still off by default
blanchet
parents:
41742
diff
changeset
|
893 |
val l' = (prefix_for_depth depth have_prefix, next_fact) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
894 |
in (l', (l, l') :: subst, next_fact + 1) end |
36570
9bebcb40599f
identify axioms/conjectures more reliably in ATP proofs (an empty dependency list doesn't always indicate an axiom or conjecture!)
blanchet
parents:
36567
diff
changeset
|
895 |
val relabel_facts = |
39370
f8292d3020db
use same hack as in "Async_Manager" to work around Proof General bug
blanchet
parents:
39368
diff
changeset
|
896 |
apfst (maps (the_list o AList.lookup (op =) subst)) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
897 |
val by = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
898 |
case by of |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
899 |
ByMetis facts => ByMetis (relabel_facts facts) |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
900 |
| CaseSplit (proofs, facts) => |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
901 |
CaseSplit (map (aux subst (depth + 1) (1, 1)) proofs, |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
902 |
relabel_facts facts) |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
903 |
in |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
904 |
Have (qs, l', t, by) :: |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
905 |
aux subst depth (next_assum, next_fact) proof |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
906 |
end |
36491
6769f8eacaac
unskolemize formulas in proof reconstruction + detect newer SPASS versions to avoid truncating identifiers if not necessary (truncating confuses proof reconstruction)
blanchet
parents:
36488
diff
changeset
|
907 |
| aux subst depth nextp (step :: proof) = |
6769f8eacaac
unskolemize formulas in proof reconstruction + detect newer SPASS versions to avoid truncating identifiers if not necessary (truncating confuses proof reconstruction)
blanchet
parents:
36488
diff
changeset
|
908 |
step :: aux subst depth nextp proof |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
909 |
in aux [] 0 (1, 1) end |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
910 |
|
42759
fdd15e889ad7
no need to use metisFT for Isar proofs -- metis falls back on it anyway
blanchet
parents:
42755
diff
changeset
|
911 |
fun string_for_proof ctxt0 i n = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
912 |
let |
39134
917b4b6ba3d2
turned show_sorts/show_types into proper configuration options;
wenzelm
parents:
39115
diff
changeset
|
913 |
val ctxt = ctxt0 |
917b4b6ba3d2
turned show_sorts/show_types into proper configuration options;
wenzelm
parents:
39115
diff
changeset
|
914 |
|> Config.put show_free_types false |
917b4b6ba3d2
turned show_sorts/show_types into proper configuration options;
wenzelm
parents:
39115
diff
changeset
|
915 |
|> Config.put show_types true |
42606
0c76cf483899
show sorts not just types in Isar proofs + tuning
blanchet
parents:
42595
diff
changeset
|
916 |
|> Config.put show_sorts true |
37319
42268dc7d6c4
show types in Isar proofs, but not for free variables;
blanchet
parents:
37172
diff
changeset
|
917 |
fun fix_print_mode f x = |
39134
917b4b6ba3d2
turned show_sorts/show_types into proper configuration options;
wenzelm
parents:
39115
diff
changeset
|
918 |
Print_Mode.setmp (filter (curry (op =) Symbol.xsymbolsN) |
917b4b6ba3d2
turned show_sorts/show_types into proper configuration options;
wenzelm
parents:
39115
diff
changeset
|
919 |
(print_mode_value ())) f x |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
920 |
fun do_indent ind = replicate_string (ind * indent_size) " " |
36478
1aba777a367f
fix types of "fix" variables to help proof reconstruction and aid readability
blanchet
parents:
36477
diff
changeset
|
921 |
fun do_free (s, T) = |
1aba777a367f
fix types of "fix" variables to help proof reconstruction and aid readability
blanchet
parents:
36477
diff
changeset
|
922 |
maybe_quote s ^ " :: " ^ |
1aba777a367f
fix types of "fix" variables to help proof reconstruction and aid readability
blanchet
parents:
36477
diff
changeset
|
923 |
maybe_quote (fix_print_mode (Syntax.string_of_typ ctxt) T) |
36570
9bebcb40599f
identify axioms/conjectures more reliably in ATP proofs (an empty dependency list doesn't always indicate an axiom or conjecture!)
blanchet
parents:
36567
diff
changeset
|
924 |
fun do_label l = if l = no_label then "" else string_for_label l ^ ": " |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
925 |
fun do_have qs = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
926 |
(if member (op =) qs Moreover then "moreover " else "") ^ |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
927 |
(if member (op =) qs Ultimately then "ultimately " else "") ^ |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
928 |
(if member (op =) qs Then then |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
929 |
if member (op =) qs Show then "thus" else "hence" |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
930 |
else |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
931 |
if member (op =) qs Show then "show" else "have") |
36478
1aba777a367f
fix types of "fix" variables to help proof reconstruction and aid readability
blanchet
parents:
36477
diff
changeset
|
932 |
val do_term = maybe_quote o fix_print_mode (Syntax.string_of_term ctxt) |
36570
9bebcb40599f
identify axioms/conjectures more reliably in ATP proofs (an empty dependency list doesn't always indicate an axiom or conjecture!)
blanchet
parents:
36567
diff
changeset
|
933 |
fun do_facts (ls, ss) = |
42759
fdd15e889ad7
no need to use metisFT for Isar proofs -- metis falls back on it anyway
blanchet
parents:
42755
diff
changeset
|
934 |
metis_command false 1 1 |
38698
d19c3a7ce38b
clean handling of whether a fact is chained or not;
blanchet
parents:
38696
diff
changeset
|
935 |
(ls |> sort_distinct (prod_ord string_ord int_ord), |
d19c3a7ce38b
clean handling of whether a fact is chained or not;
blanchet
parents:
38696
diff
changeset
|
936 |
ss |> sort_distinct string_ord) |
36478
1aba777a367f
fix types of "fix" variables to help proof reconstruction and aid readability
blanchet
parents:
36477
diff
changeset
|
937 |
and do_step ind (Fix xs) = |
1aba777a367f
fix types of "fix" variables to help proof reconstruction and aid readability
blanchet
parents:
36477
diff
changeset
|
938 |
do_indent ind ^ "fix " ^ space_implode " and " (map do_free xs) ^ "\n" |
36486
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
939 |
| do_step ind (Let (t1, t2)) = |
c2d7e2dff59e
support Vampire definitions of constants as "let" constructs in Isar proofs
blanchet
parents:
36485
diff
changeset
|
940 |
do_indent ind ^ "let " ^ do_term t1 ^ " = " ^ do_term t2 ^ "\n" |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
941 |
| do_step ind (Assume (l, t)) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
942 |
do_indent ind ^ "assume " ^ do_label l ^ do_term t ^ "\n" |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
943 |
| do_step ind (Have (qs, l, t, ByMetis facts)) = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
944 |
do_indent ind ^ do_have qs ^ " " ^ |
36479 | 945 |
do_label l ^ do_term t ^ " " ^ do_facts facts ^ "\n" |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
946 |
| do_step ind (Have (qs, l, t, CaseSplit (proofs, facts))) = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
947 |
space_implode (do_indent ind ^ "moreover\n") |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
948 |
(map (do_block ind) proofs) ^ |
36479 | 949 |
do_indent ind ^ do_have qs ^ " " ^ do_label l ^ do_term t ^ " " ^ |
36478
1aba777a367f
fix types of "fix" variables to help proof reconstruction and aid readability
blanchet
parents:
36477
diff
changeset
|
950 |
do_facts facts ^ "\n" |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
951 |
and do_steps prefix suffix ind steps = |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
952 |
let val s = implode (map (do_step ind) steps) in |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
953 |
replicate_string (ind * indent_size - size prefix) " " ^ prefix ^ |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
954 |
String.extract (s, ind * indent_size, |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
955 |
SOME (size s - ind * indent_size - 1)) ^ |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
956 |
suffix ^ "\n" |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
957 |
end |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
958 |
and do_block ind proof = do_steps "{ " " }" (ind + 1) proof |
36564
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
959 |
(* One-step proofs are pointless; better use the Metis one-liner |
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
960 |
directly. *) |
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
961 |
and do_proof [Have (_, _, _, ByMetis _)] = "" |
96f767f546e7
be more discriminate: some one-line Isar proofs are silly
blanchet
parents:
36563
diff
changeset
|
962 |
| do_proof proof = |
36480
1e01a7162435
polish Isar proofs: don't mention facts twice, and don't show one-liner "structured" proofs
blanchet
parents:
36479
diff
changeset
|
963 |
(if i <> 1 then "prefer " ^ string_of_int i ^ "\n" else "") ^ |
39452 | 964 |
do_indent 0 ^ "proof -\n" ^ do_steps "" "" 1 proof ^ do_indent 0 ^ |
965 |
(if n <> 1 then "next" else "qed") |
|
36488
32c92af68ec9
remove Sledgehammer's "sorts" option to annotate variables with sorts in proof;
blanchet
parents:
36486
diff
changeset
|
966 |
in do_proof end |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
967 |
|
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
968 |
fun isar_proof_text (ctxt, debug, isar_shrink_factor, pool, conjecture_shape, |
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
969 |
sym_tab) |
42647
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
970 |
(metis_params as (_, _, type_sys, atp_proof, facts_offset, |
59142dbfa3ba
no need to generate fact numbers for polymorphic type systems -- this confuses the TPTP exporter
blanchet
parents:
42613
diff
changeset
|
971 |
fact_names, goal, i)) = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
972 |
let |
36909
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
973 |
val (params, hyp_ts, concl_t) = strip_subgoal goal i |
7d5587f6d5f7
made Sledgehammer's full-typed proof reconstruction work for the first time;
blanchet
parents:
36607
diff
changeset
|
974 |
val frees = fold Term.add_frees (concl_t :: hyp_ts) [] |
36967
3c804030474b
fix bug in Isar proof reconstruction step relabeling + don't try to infer the sorts of TVars, since this often fails miserably
blanchet
parents:
36924
diff
changeset
|
975 |
val tfrees = fold Term.add_tfrees (concl_t :: hyp_ts) [] |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
976 |
val n = Logic.count_prems (prop_of goal) |
40723
a82badd0e6ef
put facts found by SMT solver in alphabetical order and omit chained facts, as was done already for ATP proofs
blanchet
parents:
40627
diff
changeset
|
977 |
val (one_line_proof, lemma_names) = metis_proof_text metis_params |
36283
25e69e93954d
failure of reconstructing the Isar proof (e.g., exception) should not prevent Sledgehammer from showing the short one-liner proof -- but in "debug" mode we do want to know what the exception is
blanchet
parents:
36281
diff
changeset
|
978 |
fun isar_proof_for () = |
42449
494e4ac5b0f8
detect some unsound proofs before showing them to the user
blanchet
parents:
42361
diff
changeset
|
979 |
case isar_proof_from_atp_proof pool ctxt type_sys tfrees |
42541
8938507b2054
move type declarations to the front, for TFF-compliance
blanchet
parents:
42539
diff
changeset
|
980 |
isar_shrink_factor atp_proof conjecture_shape facts_offset |
42755
4603154a3018
robustly detect how many type args were passed to the ATP, even if some of them were omitted
blanchet
parents:
42751
diff
changeset
|
981 |
fact_names sym_tab params frees |
39372
2fd8a9a7080d
first step in generalizing to nonnumeric proof step names (e.g. remote Vampire 0.6)
blanchet
parents:
39370
diff
changeset
|
982 |
|> redirect_proof hyp_ts concl_t |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
983 |
|> kill_duplicate_assumptions_in_proof |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
984 |
|> then_chain_proof |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
985 |
|> kill_useless_labels_in_proof |
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
986 |
|> relabel_proof |
42759
fdd15e889ad7
no need to use metisFT for Isar proofs -- metis falls back on it anyway
blanchet
parents:
42755
diff
changeset
|
987 |
|> string_for_proof ctxt i n of |
42554 | 988 |
"" => "\nNo structured proof available (proof too short)." |
38599 | 989 |
| proof => "\n\nStructured proof:\n" ^ Markup.markup Markup.sendback proof |
35868
491a97039ce1
renamed "e_full" and "vampire_full" to "e_isar" and "vampire_isar";
blanchet
parents:
35865
diff
changeset
|
990 |
val isar_proof = |
36402
1b20805974c7
introduced direct proof reconstruction code, eliminating the need for the "neg_clausify" method;
blanchet
parents:
36396
diff
changeset
|
991 |
if debug then |
36283
25e69e93954d
failure of reconstructing the Isar proof (e.g., exception) should not prevent Sledgehammer from showing the short one-liner proof -- but in "debug" mode we do want to know what the exception is
blanchet
parents:
36281
diff
changeset
|
992 |
isar_proof_for () |
25e69e93954d
failure of reconstructing the Isar proof (e.g., exception) should not prevent Sledgehammer from showing the short one-liner proof -- but in "debug" mode we do want to know what the exception is
blanchet
parents:
36281
diff
changeset
|
993 |
else |
25e69e93954d
failure of reconstructing the Isar proof (e.g., exception) should not prevent Sledgehammer from showing the short one-liner proof -- but in "debug" mode we do want to know what the exception is
blanchet
parents:
36281
diff
changeset
|
994 |
try isar_proof_for () |
38599 | 995 |
|> the_default "\nWarning: The Isar proof construction failed." |
36283
25e69e93954d
failure of reconstructing the Isar proof (e.g., exception) should not prevent Sledgehammer from showing the short one-liner proof -- but in "debug" mode we do want to know what the exception is
blanchet
parents:
36281
diff
changeset
|
996 |
in (one_line_proof ^ isar_proof, lemma_names) end |
21978
72c21698a055
Contains old Tools/ATP/AtpCommunication.ML, plus proof reconstruction
paulson
parents:
diff
changeset
|
997 |
|
40723
a82badd0e6ef
put facts found by SMT solver in alphabetical order and omit chained facts, as was done already for ATP proofs
blanchet
parents:
40627
diff
changeset
|
998 |
fun proof_text isar_proof isar_params metis_params = |
36557 | 999 |
(if isar_proof then isar_proof_text isar_params else metis_proof_text) |
40723
a82badd0e6ef
put facts found by SMT solver in alphabetical order and omit chained facts, as was done already for ATP proofs
blanchet
parents:
40627
diff
changeset
|
1000 |
metis_params |
36223
217ca1273786
make Sledgehammer's minimizer also minimize Isar proofs
blanchet
parents:
36140
diff
changeset
|
1001 |
|
31038 | 1002 |
end; |