1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
179
180
181
182
183
184
185
186
187
188
189
190
191
192
193
194
195
196
197
198
199
200
201
202
203
204
205
206
207
208
209
210
211
212
213
214
215
216
217
218
219
220
221
222
223
224
225
226
227
228
229
230
231
232
233
234
235
236
237
238
239
240
|
(**************************************************************************)
(* *)
(* SMTCoq *)
(* Copyright (C) 2011 - 2021 *)
(* *)
(* See file "AUTHORS" for the list of authors *)
(* *)
(* This file is distributed under the terms of the CeCILL-C licence *)
(* *)
(**************************************************************************)
open SmtMisc
open CoqTerms
open SmtTrace
open SmtAtom
open SmtBtype
open SmtCertif
(* let debug = false *)
(******************************************************************************)
(* Given a verit trace build the corresponding certif and theorem *)
(******************************************************************************)
(* exception Import_trace of int *)
(* let get_val = function
* Some a -> a
* | None -> assert false *)
(* For debugging certif processing : <add_scertif> <select> <occur> <alloc> *)
(* let print_certif c where=
* let r = ref c in
* let out_channel = open_out where in
* let fmt = Format.formatter_of_out_channel out_channel in
* let continue = ref true in
* while !continue do
* let kind = to_string (!r.kind) in
* let id = !r.id in
* let pos = match !r.pos with
* | None -> "None"
* | Some p -> string_of_int p in
* let used = !r.used in
* Format.fprintf fmt "id:%i kind:%s pos:%s used:%i value:" id kind pos used;
* begin match !r.value with
* | None -> Format.fprintf fmt "None"
* | Some l -> List.iter (fun f -> Form.to_smt Atom.to_smt fmt f;
* Format.fprintf fmt " ") l end;
* Format.fprintf fmt "\n";
* match !r.next with
* | None -> continue := false
* | Some n -> r := n
* done;
* Format.fprintf fmt "@."; close_out out_channel *)
let import_trace ra_quant rf_quant filename first lsmt =
let chan = open_in filename in
let lexbuf = Lexing.from_channel chan in
let confl_num = ref (-1) in
let first_num = ref (-1) in
let is_first = ref true in
let line = ref 1 in
(* let _ = Parsing.set_trace true in *)
try
while true do
confl_num := VeritParser.line VeritLexer.token lexbuf;
if !is_first then (
is_first := false;
first_num := !confl_num
);
incr line
done;
raise VeritLexer.Eof
with
| VeritLexer.Eof ->
close_in chan;
let cfirst = ref (VeritSyntax.get_clause !first_num) in
let confl = ref (VeritSyntax.get_clause !confl_num) in
let re_hash = Form.hash_hform (Atom.hash_hatom ra_quant) rf_quant in
begin match first with
| None -> ()
| Some _ ->
let init_index = VeritSyntax.init_index lsmt re_hash in
let cf, lr = order_roots init_index !cfirst in
cfirst := cf;
let to_add = VeritSyntax.qf_to_add (List.tl lr) in
let to_add =
(match first, !cfirst.value with
| Some (root, l), Some [fl] when init_index fl = 1 && not (Form.equal l (re_hash fl)) ->
let cfirst_value = !cfirst.value in
!cfirst.value <- root.value;
[Other (ImmFlatten (root, fl)), cfirst_value, !cfirst]
| _ -> []) @ to_add in
match to_add with
| [] -> ()
| _ -> confl := add_scertifs to_add !cfirst end;
select !confl;
occur !confl;
(alloc !cfirst, !confl)
| Parsing.Parse_error -> failwith ("Verit.import_trace: parsing error line "^(string_of_int !line))
let clear_all () =
SmtTrace.clear ();
SmtMaps.clear ();
VeritSyntax.clear ()
let import_all fsmt fproof =
clear_all ();
let rt = SmtBtype.create () in
let ro = Op.create () in
let ra = VeritSyntax.ra in
let rf = VeritSyntax.rf in
let ra_quant = VeritSyntax.ra_quant in
let rf_quant = VeritSyntax.rf_quant in
let roots = Smtlib2_genConstr.import_smtlib2 rt ro ra rf fsmt in
let (max_id, confl) = import_trace ra_quant rf_quant fproof None [] in
(rt, ro, ra, rf, roots, max_id, confl)
let parse_certif t_i t_func t_atom t_form root used_root trace fsmt fproof =
SmtCommands.parse_certif t_i t_func t_atom t_form root used_root trace
(import_all fsmt fproof)
let checker_debug fsmt fproof =
SmtCommands.checker_debug (import_all fsmt fproof)
let theorem name fsmt fproof =
SmtCommands.theorem name (import_all fsmt fproof)
let checker fsmt fproof =
SmtCommands.checker (import_all fsmt fproof)
(******************************************************************************)
(** Given a Coq formula build the proof *)
(******************************************************************************)
let export out_channel rt ro lsmt =
let fmt = Format.formatter_of_out_channel out_channel in
Format.fprintf fmt "(set-logic UFLIA)@.";
List.iter (fun (i,t) ->
let s = "Tindex_"^(string_of_int i) in
SmtMaps.add_btype s (Tindex t);
Format.fprintf fmt "(declare-sort %s 0)@." s
) (SmtBtype.to_list rt);
List.iter (fun (i,dom,cod,op) ->
let s = "op_"^(string_of_int i) in
SmtMaps.add_fun s op;
Format.fprintf fmt "(declare-fun %s (" s;
let is_first = ref true in
Array.iter (fun t -> if !is_first then is_first := false else Format.fprintf fmt " "; SmtBtype.to_smt fmt t) dom;
Format.fprintf fmt ") ";
SmtBtype.to_smt fmt cod;
Format.fprintf fmt ")@."
) (Op.to_list ro);
List.iter (fun u -> Format.fprintf fmt "(assert ";
Form.to_smt fmt u;
Format.fprintf fmt ")\n") lsmt;
Format.fprintf fmt "(check-sat)\n(exit)@."
exception Unknown
let call_verit _ rt ro ra_quant rf_quant first lsmt =
let (filename, outchan) = Filename.open_temp_file "verit_coq" ".smt2" in
export outchan rt ro lsmt;
close_out outchan;
let logfilename = Filename.chop_extension filename ^ ".vtlog" in
let wname, woc = Filename.open_temp_file "warnings_verit" ".log" in
close_out woc;
let command = "veriT --proof-prune --proof-merge --proof-with-sharing --cnf-definitional --disable-ackermann --input=smtlib2 --proof=" ^ logfilename ^ " " ^ filename ^ " 2> " ^ wname in
Format.eprintf "%s@." command;
let t0 = Sys.time () in
let exit_code = Sys.command command in
let t1 = Sys.time () in
Format.eprintf "Verit = %.5f@." (t1-.t0);
let win = open_in wname in
let raise_warnings_errors () =
try
while true do
let l = input_line win in
let n = String.length l in
if l = "warning : proof_done: status is still open" then
raise Unknown
else if l = "Invalid memory reference" then
Structures.warning "verit-warning" ("veriT outputted the warning: " ^ l)
else if n >= 7 && String.sub l 0 7 = "warning" then
Structures.warning "verit-warning" ("veriT outputted the warning: " ^ (String.sub l 7 (n-7)))
else if n >= 8 && String.sub l 0 8 = "error : " then
Structures.error ("veriT failed with the error: " ^ (String.sub l 8 (n-8)))
else
Structures.error ("veriT failed with the error: " ^ l)
done
with End_of_file -> () in
try
if exit_code <> 0 then Structures.warning "verit-non-zero-exit-code" ("Verit.call_verit: command " ^ command ^ " exited with code " ^ string_of_int exit_code);
raise_warnings_errors ();
let res = import_trace ra_quant rf_quant logfilename (Some first) lsmt in
close_in win; Sys.remove wname; res
with x -> close_in win; Sys.remove wname;
match x with
| Unknown -> Structures.error "veriT returns 'unknown'"
| VeritSyntax.Sat -> Structures.error "veriT found a counter-example"
| _ -> raise x
let verit_logic =
SL.of_list [LUF; LLia]
let tactic_gen vm_cast lcpl lcepl =
(* Transform the tuple of lemmas given by the user into a list *)
let lcpl =
let lcpl = EConstr.Unsafe.to_constr lcpl in
let lcpl = CoqTerms.option_of_constr_option lcpl in
match lcpl with
| Some lcpl -> CoqTerms.list_of_constr_tuple lcpl
| None -> []
in
(* Core tactic *)
clear_all ();
let rt = SmtBtype.create () in
let ro = Op.create () in
let ra = VeritSyntax.ra in
let rf = VeritSyntax.rf in
let ra_quant = VeritSyntax.ra_quant in
let rf_quant = VeritSyntax.rf_quant in
SmtCommands.tactic call_verit verit_logic rt ro ra rf ra_quant rf_quant vm_cast lcpl lcepl
let tactic = tactic_gen vm_cast_true
let tactic_no_check = tactic_gen (fun _ -> vm_cast_true_no_check)
|
