blanchet@47149
|
1 |
(* Title: HOL/TPTP/atp_theory_export.ML
|
blanchet@43473
|
2 |
Author: Jasmin Blanchette, TU Muenchen
|
blanchet@43473
|
3 |
Copyright 2011
|
blanchet@43473
|
4 |
|
blanchet@43473
|
5 |
Export Isabelle theories as first-order TPTP inferences, exploiting
|
blanchet@43473
|
6 |
Sledgehammer's translation.
|
blanchet@43473
|
7 |
*)
|
blanchet@43473
|
8 |
|
blanchet@47149
|
9 |
signature ATP_THEORY_EXPORT =
|
blanchet@43473
|
10 |
sig
|
blanchet@46176
|
11 |
type atp_format = ATP_Problem.atp_format
|
blanchet@46176
|
12 |
|
blanchet@44365
|
13 |
val theorems_mentioned_in_proof_term :
|
blanchet@44365
|
14 |
string list option -> thm -> string list
|
blanchet@43473
|
15 |
val generate_tptp_graph_file_for_theory :
|
blanchet@43473
|
16 |
Proof.context -> theory -> string -> unit
|
blanchet@43473
|
17 |
val generate_tptp_inference_file_for_theory :
|
blanchet@46176
|
18 |
Proof.context -> theory -> atp_format -> string -> string -> unit
|
blanchet@43473
|
19 |
end;
|
blanchet@43473
|
20 |
|
blanchet@47149
|
21 |
structure ATP_Theory_Export : ATP_THEORY_EXPORT =
|
blanchet@43473
|
22 |
struct
|
blanchet@43473
|
23 |
|
blanchet@44350
|
24 |
open ATP_Problem
|
blanchet@44428
|
25 |
open ATP_Proof
|
blanchet@47148
|
26 |
open ATP_Problem_Generate
|
blanchet@44428
|
27 |
open ATP_Systems
|
blanchet@43473
|
28 |
|
blanchet@44350
|
29 |
val fact_name_of = prefix fact_prefix o ascii_of
|
blanchet@43473
|
30 |
|
blanchet@43473
|
31 |
fun facts_of thy =
|
blanchet@47601
|
32 |
let val ctxt = Proof_Context.init_global thy in
|
blanchet@47601
|
33 |
Sledgehammer_Filter.all_facts ctxt false
|
blanchet@47601
|
34 |
Symtab.empty true [] []
|
blanchet@47601
|
35 |
(Sledgehammer_Filter.clasimpset_rule_table_of ctxt)
|
blanchet@47601
|
36 |
|> filter (curry (op =) @{typ bool} o fastype_of
|
blanchet@47601
|
37 |
o Object_Logic.atomize_term thy o prop_of o snd)
|
blanchet@47601
|
38 |
end
|
blanchet@43473
|
39 |
|
blanchet@44329
|
40 |
(* FIXME: Similar yet different code in "mirabelle.ML". The code here has a few
|
blanchet@44329
|
41 |
fixes that seem to be missing over there; or maybe the two code portions are
|
blanchet@44329
|
42 |
not doing the same? *)
|
blanchet@44369
|
43 |
fun fold_body_thms thm_name all_names f =
|
blanchet@43473
|
44 |
let
|
blanchet@44329
|
45 |
fun app n (PBody {thms, ...}) =
|
blanchet@44350
|
46 |
thms |> fold (fn (_, (name, prop, body)) => fn x =>
|
blanchet@44350
|
47 |
let
|
blanchet@44350
|
48 |
val body' = Future.join body
|
blanchet@44350
|
49 |
val n' =
|
blanchet@44350
|
50 |
n + (if name = "" orelse
|
blanchet@44350
|
51 |
(is_some all_names andalso
|
blanchet@44369
|
52 |
not (member (op =) (the all_names) name)) orelse
|
blanchet@44369
|
53 |
(* uncommon case where the proved theorem occurs twice
|
blanchet@44369
|
54 |
(e.g., "Transitive_Closure.trancl_into_trancl") *)
|
blanchet@44369
|
55 |
n = 1 andalso name = thm_name then
|
blanchet@44350
|
56 |
0
|
blanchet@44350
|
57 |
else
|
blanchet@44350
|
58 |
1)
|
blanchet@44350
|
59 |
val x' = x |> n' <= 1 ? app n' body'
|
blanchet@44350
|
60 |
in (x' |> n = 1 ? f (name, prop, body')) end)
|
blanchet@44350
|
61 |
in fold (app 0) end
|
blanchet@43473
|
62 |
|
blanchet@44350
|
63 |
fun theorems_mentioned_in_proof_term all_names thm =
|
blanchet@43473
|
64 |
let
|
blanchet@43473
|
65 |
fun collect (s, _, _) = if s <> "" then insert (op =) s else I
|
blanchet@43473
|
66 |
val names =
|
blanchet@44369
|
67 |
[] |> fold_body_thms (Thm.get_name_hint thm) all_names collect
|
blanchet@44369
|
68 |
[Thm.proof_body_of thm]
|
blanchet@44350
|
69 |
|> map fact_name_of
|
blanchet@43473
|
70 |
in names end
|
blanchet@43473
|
71 |
|
blanchet@43473
|
72 |
fun interesting_const_names ctxt =
|
wenzelm@44156
|
73 |
let val thy = Proof_Context.theory_of ctxt in
|
blanchet@43473
|
74 |
Sledgehammer_Filter.const_names_in_fact thy
|
blanchet@44428
|
75 |
(Sledgehammer_Provers.is_built_in_const_for_prover ctxt eN)
|
blanchet@43473
|
76 |
end
|
blanchet@43473
|
77 |
|
blanchet@43473
|
78 |
fun generate_tptp_graph_file_for_theory ctxt thy file_name =
|
blanchet@43473
|
79 |
let
|
blanchet@43473
|
80 |
val path = file_name |> Path.explode
|
blanchet@43473
|
81 |
val _ = File.write path ""
|
blanchet@43473
|
82 |
val axioms = Theory.all_axioms_of thy |> map fst
|
blanchet@43473
|
83 |
fun do_thm thm =
|
blanchet@43473
|
84 |
let
|
blanchet@43473
|
85 |
val name = Thm.get_name_hint thm
|
blanchet@43473
|
86 |
val s =
|
blanchet@43473
|
87 |
"[" ^ Thm.legacy_get_kind thm ^ "] " ^
|
blanchet@43473
|
88 |
(if member (op =) axioms name then "A" else "T") ^ " " ^
|
blanchet@44350
|
89 |
prefix fact_prefix (ascii_of name) ^ ": " ^
|
blanchet@44350
|
90 |
commas (theorems_mentioned_in_proof_term NONE thm) ^ "; " ^
|
blanchet@44350
|
91 |
commas (map (prefix const_prefix o ascii_of)
|
blanchet@43473
|
92 |
(interesting_const_names ctxt (Thm.prop_of thm))) ^ " \n"
|
blanchet@43473
|
93 |
in File.append path s end
|
blanchet@44086
|
94 |
val thms = facts_of thy |> map snd
|
blanchet@43473
|
95 |
val _ = map do_thm thms
|
blanchet@43473
|
96 |
in () end
|
blanchet@43473
|
97 |
|
blanchet@43473
|
98 |
fun inference_term [] = NONE
|
blanchet@43473
|
99 |
| inference_term ss =
|
blanchet@44350
|
100 |
ATerm ("inference",
|
blanchet@44350
|
101 |
[ATerm ("isabelle", []),
|
blanchet@44350
|
102 |
ATerm (tptp_empty_list, []),
|
blanchet@44350
|
103 |
ATerm (tptp_empty_list, map (fn s => ATerm (s, [])) ss)])
|
blanchet@43473
|
104 |
|> SOME
|
blanchet@43473
|
105 |
fun inference infers ident =
|
blanchet@43473
|
106 |
these (AList.lookup (op =) infers ident) |> inference_term
|
blanchet@43473
|
107 |
fun add_inferences_to_problem_line infers
|
blanchet@47234
|
108 |
(Formula (ident, Axiom, phi, NONE, tms)) =
|
blanchet@47234
|
109 |
Formula (ident, Lemma, phi, inference infers ident, tms)
|
blanchet@43473
|
110 |
| add_inferences_to_problem_line _ line = line
|
blanchet@44867
|
111 |
fun add_inferences_to_problem infers =
|
blanchet@44867
|
112 |
map (apsnd (map (add_inferences_to_problem_line infers)))
|
blanchet@43473
|
113 |
|
blanchet@44350
|
114 |
fun ident_of_problem_line (Decl (ident, _, _)) = ident
|
blanchet@44350
|
115 |
| ident_of_problem_line (Formula (ident, _, _, _, _)) = ident
|
blanchet@44350
|
116 |
|
blanchet@46176
|
117 |
fun run_some_atp ctxt format problem =
|
blanchet@44428
|
118 |
let
|
blanchet@44428
|
119 |
val thy = Proof_Context.theory_of ctxt
|
blanchet@47925
|
120 |
val prob_file = File.tmp_path (Path.explode "prob")
|
blanchet@47909
|
121 |
val atp = case format of DFG _ => spass_newN | _ => eN
|
blanchet@48469
|
122 |
val {exec, arguments, proof_delims, known_failures, ...} =
|
blanchet@48469
|
123 |
get_atp thy atp ()
|
blanchet@47909
|
124 |
val ord = effective_term_order ctxt atp
|
blanchet@47909
|
125 |
val _ = problem |> lines_for_atp_problem format ord (K [])
|
blanchet@47270
|
126 |
|> File.write_list prob_file
|
blanchet@44428
|
127 |
val command =
|
blanchet@47925
|
128 |
File.shell_path (Path.explode (getenv (hd (fst exec)) ^ "/" ^ snd exec)) ^
|
blanchet@47909
|
129 |
" " ^ arguments ctxt false "" (seconds 1.0) (ord, K [], K []) ^ " " ^
|
blanchet@44428
|
130 |
File.shell_path prob_file
|
blanchet@44428
|
131 |
in
|
wenzelm@44721
|
132 |
TimeLimit.timeLimit (seconds 0.3) Isabelle_System.bash_output command
|
blanchet@44428
|
133 |
|> fst
|
blanchet@47909
|
134 |
|> extract_tstplike_proof_and_outcome false true proof_delims known_failures
|
blanchet@44428
|
135 |
|> snd
|
blanchet@44428
|
136 |
end
|
blanchet@44428
|
137 |
handle TimeLimit.TimeOut => SOME TimedOut
|
blanchet@44428
|
138 |
|
blanchet@44428
|
139 |
val likely_tautology_prefixes =
|
blanchet@44431
|
140 |
[@{theory HOL}, @{theory Meson}, @{theory ATP}, @{theory Metis}]
|
blanchet@44428
|
141 |
|> map (fact_name_of o Context.theory_name)
|
blanchet@44428
|
142 |
|
blanchet@46176
|
143 |
fun is_problem_line_tautology ctxt format (Formula (ident, _, phi, _, _)) =
|
blanchet@44428
|
144 |
exists (fn prefix => String.isPrefix prefix ident)
|
blanchet@44428
|
145 |
likely_tautology_prefixes andalso
|
blanchet@46176
|
146 |
is_none (run_some_atp ctxt format
|
blanchet@47234
|
147 |
[(factsN, [Formula (ident, Conjecture, phi, NONE, [])])])
|
blanchet@46176
|
148 |
| is_problem_line_tautology _ _ _ = false
|
blanchet@44428
|
149 |
|
blanchet@44370
|
150 |
fun order_facts ord = sort (ord o pairself ident_of_problem_line)
|
blanchet@44370
|
151 |
fun order_problem_facts _ [] = []
|
blanchet@44370
|
152 |
| order_problem_facts ord ((heading, lines) :: problem) =
|
blanchet@44370
|
153 |
if heading = factsN then (heading, order_facts ord lines) :: problem
|
blanchet@44370
|
154 |
else (heading, lines) :: order_problem_facts ord problem
|
blanchet@44370
|
155 |
|
blanchet@46176
|
156 |
(* A fairly random selection of types used for monomorphizing. *)
|
blanchet@46176
|
157 |
val ground_types =
|
blanchet@46176
|
158 |
[@{typ nat}, HOLogic.intT, HOLogic.realT, @{typ "nat => bool"}, @{typ bool},
|
blanchet@46176
|
159 |
@{typ unit}]
|
blanchet@46176
|
160 |
|
blanchet@46176
|
161 |
fun ground_type_for_tvar _ [] tvar =
|
blanchet@46176
|
162 |
raise TYPE ("ground_type_for_sorts", [TVar tvar], [])
|
blanchet@46176
|
163 |
| ground_type_for_tvar thy (T :: Ts) tvar =
|
blanchet@46176
|
164 |
if can (Sign.typ_match thy (TVar tvar, T)) Vartab.empty then T
|
blanchet@46176
|
165 |
else ground_type_for_tvar thy Ts tvar
|
blanchet@46176
|
166 |
|
blanchet@46176
|
167 |
fun monomorphize_term ctxt t =
|
blanchet@46176
|
168 |
let val thy = Proof_Context.theory_of ctxt in
|
blanchet@46176
|
169 |
t |> map_types (map_type_tvar (ground_type_for_tvar thy ground_types))
|
blanchet@46176
|
170 |
handle TYPE _ => @{prop True}
|
blanchet@46176
|
171 |
end
|
blanchet@46176
|
172 |
|
blanchet@46176
|
173 |
fun generate_tptp_inference_file_for_theory ctxt thy format type_enc file_name =
|
blanchet@43473
|
174 |
let
|
blanchet@47129
|
175 |
val type_enc = type_enc |> type_enc_from_string Strict
|
blanchet@46176
|
176 |
|> adjust_type_enc format
|
blanchet@46176
|
177 |
val mono = polymorphism_of_type_enc type_enc <> Polymorphic
|
blanchet@43473
|
178 |
val path = file_name |> Path.explode
|
blanchet@43473
|
179 |
val _ = File.write path ""
|
blanchet@44438
|
180 |
val facts = facts_of thy
|
blanchet@46422
|
181 |
val atp_problem =
|
blanchet@44438
|
182 |
facts
|
blanchet@46176
|
183 |
|> map (fn ((_, loc), th) =>
|
blanchet@46176
|
184 |
((Thm.get_name_hint th, loc),
|
blanchet@46176
|
185 |
th |> prop_of |> mono ? monomorphize_term ctxt))
|
blanchet@48927
|
186 |
|> prepare_atp_problem ctxt format Axiom type_enc true combsN false false
|
blanchet@48927
|
187 |
true [] @{prop False}
|
blanchet@46422
|
188 |
|> #1
|
blanchet@44428
|
189 |
val atp_problem =
|
blanchet@44428
|
190 |
atp_problem
|
blanchet@46176
|
191 |
|> map (apsnd (filter_out (is_problem_line_tautology ctxt format)))
|
blanchet@44438
|
192 |
val all_names = facts |> map (Thm.get_name_hint o snd)
|
blanchet@43473
|
193 |
val infers =
|
blanchet@44438
|
194 |
facts |> map (fn (_, th) =>
|
blanchet@44438
|
195 |
(fact_name_of (Thm.get_name_hint th),
|
blanchet@44438
|
196 |
theorems_mentioned_in_proof_term (SOME all_names) th))
|
blanchet@44350
|
197 |
val all_atp_problem_names =
|
blanchet@44350
|
198 |
atp_problem |> maps (map ident_of_problem_line o snd)
|
blanchet@43473
|
199 |
val infers =
|
blanchet@44370
|
200 |
infers |> filter (member (op =) all_atp_problem_names o fst)
|
blanchet@44370
|
201 |
|> map (apsnd (filter (member (op =) all_atp_problem_names)))
|
blanchet@44370
|
202 |
val ordered_names =
|
blanchet@44370
|
203 |
String_Graph.empty
|
blanchet@44370
|
204 |
|> fold (String_Graph.new_node o rpair ()) all_atp_problem_names
|
blanchet@44370
|
205 |
|> fold (fn (to, froms) =>
|
blanchet@44428
|
206 |
fold (fn from => String_Graph.add_edge (from, to)) froms)
|
blanchet@44428
|
207 |
infers
|
blanchet@44370
|
208 |
|> String_Graph.topological_order
|
blanchet@44370
|
209 |
val order_tab =
|
blanchet@44370
|
210 |
Symtab.empty
|
blanchet@44370
|
211 |
|> fold (Symtab.insert (op =))
|
blanchet@44370
|
212 |
(ordered_names ~~ (1 upto length ordered_names))
|
blanchet@44370
|
213 |
val name_ord = int_ord o pairself (the o Symtab.lookup order_tab)
|
blanchet@44370
|
214 |
val atp_problem =
|
blanchet@46176
|
215 |
atp_problem
|
blanchet@46176
|
216 |
|> (case format of DFG _ => I | _ => add_inferences_to_problem infers)
|
blanchet@46176
|
217 |
|> order_problem_facts name_ord
|
blanchet@47909
|
218 |
val ord = effective_term_order ctxt eN (* dummy *)
|
blanchet@47909
|
219 |
val ss = lines_for_atp_problem format ord (K []) atp_problem
|
blanchet@43473
|
220 |
val _ = app (File.append path) ss
|
blanchet@43473
|
221 |
in () end
|
blanchet@43473
|
222 |
|
blanchet@43473
|
223 |
end;
|