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
241
242
243
244
245
246
247
248
249
250
251
252
253
254
255
256
257
258
259
260
261
262
263
264
265
266
267
268
269
270
271
272
273
274
275
276
277
278
279
280
281
282
283
284
285
286
287
288
289
290
291
292
293
294
295
296
297
298
299
300
301
302
303
304
305
306
307
308
309
310
311
312
313
314
315
316
317
318
319
320
321
322
323
324
325
326
327
328
329
330
331
332
333
334
335
336
337
338
339
340
341
342
343
344
345
346
347
348
349
350
351
352
353
354
355
356
357
358
359
360
361
362
363
364
365
366
367
368
369
|
//-----------------------------------------------------------------------------
//
// Copyright (C) Microsoft Corporation. All Rights Reserved.
//
//-----------------------------------------------------------------------------
using System;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Diagnostics.Contracts;
using System.IO;
using System.Text.RegularExpressions;
namespace Microsoft.Boogie.SMTLib
{
class Z3
{
static string _proverPath;
static string CodebaseString()
{
Contract.Ensures(Contract.Result<string>() != null);
return Path.GetDirectoryName(cce.NonNull(System.Reflection.Assembly.GetExecutingAssembly().Location));
}
public static string ExecutablePath()
{
if (_proverPath == null)
FindExecutable();
return _proverPath;
}
static void FindExecutable()
// throws ProverException, System.IO.FileNotFoundException;
{
Contract.Ensures(_proverPath != null);
// Command line option 'z3exe' always has priority if set
if (CommandLineOptions.Clo.Z3ExecutablePath != null)
{
_proverPath = CommandLineOptions.Clo.Z3ExecutablePath;
if (!File.Exists(_proverPath))
{
throw new ProverException("Cannot find prover specified with z3exe: " + _proverPath);
}
if (CommandLineOptions.Clo.Trace)
{
Console.WriteLine("[TRACE] Using prover: " + _proverPath);
}
return;
}
var proverExe = "z3.exe";
if (_proverPath == null)
{
// Initialize '_proverPath'
_proverPath = Path.Combine(CodebaseString(), proverExe);
string firstTry = _proverPath;
if (File.Exists(firstTry))
{
if (CommandLineOptions.Clo.Trace)
{
Console.WriteLine("[TRACE] Using prover: " + _proverPath);
}
return;
}
List<string> z3Dirs = new List<string>();
string programFiles = Environment.GetEnvironmentVariable("ProgramFiles");
if (programFiles != null)
{
string programFilesX86 = Environment.GetEnvironmentVariable("ProgramFiles(x86)");
if (programFiles.Equals(programFilesX86))
{
// If both %ProgramFiles% and %ProgramFiles(x86)% point to "ProgramFiles (x86)", use %ProgramW6432% instead.
programFiles = Environment.GetEnvironmentVariable("ProgramW6432");
}
if (Directory.Exists(programFiles + @"\Microsoft Research\"))
{
string msrDir = programFiles + @"\Microsoft Research\";
z3Dirs.AddRange(Directory.GetDirectories(msrDir, "Z3-*"));
}
if (Directory.Exists(programFilesX86 + @"\Microsoft Research\"))
{
string msrDir = programFilesX86 + @"\Microsoft Research\";
z3Dirs.AddRange(Directory.GetDirectories(msrDir, "Z3-*"));
}
}
int minMajor = 3, minMinor = 2;
// Look for the most recent version of Z3.
int minor = 0, major = 0;
string winner = null;
Regex r = new Regex(@"^Z3-(\d+)\.(\d+)$");
foreach (string d in z3Dirs)
{
string name = new DirectoryInfo(d).Name;
foreach (Match m in r.Matches(name))
{
int ma, mi;
ma = int.Parse(m.Groups[1].ToString());
mi = int.Parse(m.Groups[2].ToString());
if (major < ma || (major == ma && minor < mi))
{
major = ma;
minor = mi;
winner = d;
}
}
}
if (major == 0 && minor == 0)
{
throw new ProverException("Cannot find executable: " + firstTry);
}
Contract.Assert(winner != null);
_proverPath = Path.Combine(Path.Combine(winner, "bin"), proverExe);
if (!File.Exists(_proverPath))
{
throw new ProverException("Cannot find prover: " + _proverPath);
}
if (CommandLineOptions.Clo.Trace)
{
Console.WriteLine("[TRACE] Using prover: " + _proverPath);
}
if (major < minMajor || (major == minMajor && minor < minMinor))
{
throw new ProverException(string.Format("Found version {0}.{1} of Z3. Please install version {2}.{3} or later. " +
"(More conservative users might opt to supply -prover:Z3 option instead to get the historic Simplify back-end)",
major, minor, minMajor, minMinor));
}
}
}
static int Z3MajorVersion = 0;
static int Z3MinorVersion = 0;
static bool Z3VersionObtained = false;
public static void GetVersion(out int major, out int minor)
{
if (!Z3VersionObtained)
{
var proc = new System.Diagnostics.Process();
proc.StartInfo.FileName = _proverPath;
proc.StartInfo.Arguments = "--version";
proc.StartInfo.RedirectStandardOutput = true;
proc.StartInfo.RedirectStandardError = true;
proc.StartInfo.UseShellExecute = false;
proc.StartInfo.CreateNoWindow = true;
proc.Start();
proc.WaitForExit();
if (proc.ExitCode == 0)
{
string answer = proc.StandardOutput.ReadToEnd();
var firstdot = answer.IndexOf('.');
if (firstdot >= 0)
{
var seconddot = answer.IndexOf('.', firstdot + 1);
if (seconddot >= firstdot + 1)
{
var spacebeforefirstdot = answer.LastIndexOf(' ', firstdot);
if (spacebeforefirstdot >= 0)
{
var majorstr = answer.Substring(spacebeforefirstdot, firstdot - spacebeforefirstdot);
var minorstr = answer.Substring(firstdot + 1, seconddot - firstdot - 1);
Z3MajorVersion = Convert.ToInt32(majorstr);
Z3MinorVersion = Convert.ToInt32(minorstr);
}
}
}
}
Z3VersionObtained = true;
}
major = Z3MajorVersion;
minor = Z3MinorVersion;
}
public static string SetTimeoutOption()
{
int major, minor;
GetVersion(out major, out minor);
if (major > 4 || major == 4 && minor >= 3)
return "TIMEOUT";
else
return "SOFT_TIMEOUT";
}
// options that work only on the command line
static string[] commandLineOnly = { "TRACE", "PROOF_MODE" };
public static void SetupOptions(SMTLibProverOptions options)
{
FindExecutable();
int major, minor;
GetVersion(out major, out minor);
if (major > 4 || major == 4 && minor >= 3)
{
// don't bother with auto-config - it would disable explicit settings for eager threshold and so on
options.AddWeakSmtOption("AUTO_CONFIG", "false");
//options.AddWeakSmtOption("MODEL_PARTIAL", "true");
//options.WeakAddSmtOption("MODEL_VALUE_COMPLETION", "false");
// options.AddWeakSmtOption("MODEL_HIDE_UNUSED_PARTITIONS", "false"); TODO: what does this do?
options.AddWeakSmtOption("MODEL.V2", "true");
//options.AddWeakSmtOption("ASYNC_COMMANDS", "false"); TODO: is this needed?
if (!options.OptimizeForBv)
{
// Phase selection means to always try the negative literal polarity first, seems to be good for Boogie.
// The restart parameters change the restart behavior to match Z3 v1, which also seems to be good.
options.AddWeakSmtOption("smt.PHASE_SELECTION", "0");
options.AddWeakSmtOption("smt.RESTART_STRATEGY", "0");
options.AddWeakSmtOption("smt.RESTART_FACTOR", "|1.5|");
// Make the integer model more diverse by default, speeds up some benchmarks a lot.
options.AddWeakSmtOption("smt.ARITH.RANDOM_INITIAL_VALUE", "true");
// The left-to-right structural case-splitting strategy.
//options.AddWeakSmtOption("SORT_AND_OR", "false"); // always false now
options.AddWeakSmtOption("smt.CASE_SPLIT", "3");
// In addition delay adding unit conflicts.
options.AddWeakSmtOption("smt.DELAY_UNITS", "true");
//options.AddWeakSmtOption("DELAY_UNITS_THRESHOLD", "16"); TODO: what?
}
// This is used by VCC, but could be also useful for others, if sk_hack(foo(x)) is included as trigger,
// the foo(x0) will be activated for e-matching when x is skolemized to x0.
options.AddWeakSmtOption("NNF.SK_HACK", "true");
// don't use model-based quantifier instantiation; it never finishes on non-trivial Boogie problems
options.AddWeakSmtOption("smt.MBQI", "false");
// More or less like MAM=0.
options.AddWeakSmtOption("smt.QI.EAGER_THRESHOLD", "100");
// Complex proof attempts in VCC (and likely elsewhere) require matching depth of 20 or more.
// the following will make the :weight option more usable
options.AddWeakSmtOption("smt.QI.COST", "|\"(+ weight generation)\"|"); // TODO: this doesn't seem to work
//if (options.Inspector != null)
// options.WeakAddSmtOption("PROGRESS_SAMPLING_FREQ", "100");
options.AddWeakSmtOption("TYPE_CHECK", "true");
options.AddWeakSmtOption("smt.BV.REFLECT", "true");
if (options.TimeLimit > 0)
{
options.AddWeakSmtOption("TIMEOUT", options.TimeLimit.ToString());
// This kills the Z3 *instance* after the specified time, not a particular query, so we cannot use it.
// options.AddSolverArgument("/T:" + (options.TimeLimit + 1000) / 1000);
}
if (options.Inspector != null)
options.AddWeakSmtOption("PROGRESS_SAMPLING_FREQ", "200");
if (CommandLineOptions.Clo.WeakArrayTheory)
{
options.AddWeakSmtOption("smt.array.weak", "true");
options.AddWeakSmtOption("smt.array.extensional", "false");
}
}
else
{
// don't bother with auto-config - it would disable explicit settings for eager threshold and so on
options.AddWeakSmtOption("AUTO_CONFIG", "false");
//options.AddWeakSmtOption("MODEL_PARTIAL", "true");
//options.WeakAddSmtOption("MODEL_VALUE_COMPLETION", "false");
options.AddWeakSmtOption("MODEL_HIDE_UNUSED_PARTITIONS", "false");
options.AddWeakSmtOption("MODEL_V2", "true");
options.AddWeakSmtOption("ASYNC_COMMANDS", "false");
if (!options.OptimizeForBv)
{
// Phase selection means to always try the negative literal polarity first, seems to be good for Boogie.
// The restart parameters change the restart behavior to match Z3 v1, which also seems to be good.
options.AddWeakSmtOption("PHASE_SELECTION", "0");
options.AddWeakSmtOption("RESTART_STRATEGY", "0");
options.AddWeakSmtOption("RESTART_FACTOR", "|1.5|");
// Make the integer model more diverse by default, speeds up some benchmarks a lot.
options.AddWeakSmtOption("ARITH_RANDOM_INITIAL_VALUE", "true");
// The left-to-right structural case-splitting strategy.
//options.AddWeakSmtOption("SORT_AND_OR", "false"); // always false now
options.AddWeakSmtOption("CASE_SPLIT", "3");
// In addition delay adding unit conflicts.
options.AddWeakSmtOption("DELAY_UNITS", "true");
options.AddWeakSmtOption("DELAY_UNITS_THRESHOLD", "16");
}
// This is used by VCC, but could be also useful for others, if sk_hack(foo(x)) is included as trigger,
// the foo(x0) will be activated for e-matching when x is skolemized to x0.
options.AddWeakSmtOption("NNF_SK_HACK", "true");
// don't use model-based quantifier instantiation; it never finishes on non-trivial Boogie problems
options.AddWeakSmtOption("MBQI", "false");
// More or less like MAM=0.
options.AddWeakSmtOption("QI_EAGER_THRESHOLD", "100");
// Complex proof attempts in VCC (and likely elsewhere) require matching depth of 20 or more.
// the following will make the :weight option more usable
options.AddWeakSmtOption("QI_COST", "|\"(+ weight generation)\"|");
//if (options.Inspector != null)
// options.WeakAddSmtOption("PROGRESS_SAMPLING_FREQ", "100");
options.AddWeakSmtOption("TYPE_CHECK", "true");
options.AddWeakSmtOption("BV_REFLECT", "true");
if (options.TimeLimit > 0)
{
options.AddWeakSmtOption("SOFT_TIMEOUT", options.TimeLimit.ToString());
// This kills the Z3 *instance* after the specified time, not a particular query, so we cannot use it.
// options.AddSolverArgument("/T:" + (options.TimeLimit + 1000) / 1000);
}
if (options.Inspector != null)
options.AddWeakSmtOption("PROGRESS_SAMPLING_FREQ", "200");
if (CommandLineOptions.Clo.WeakArrayTheory)
{
options.AddWeakSmtOption("ARRAY_WEAK", "true");
options.AddWeakSmtOption("ARRAY_EXTENSIONAL", "false");
}
}
// legacy option handling
if (!CommandLineOptions.Clo.z3AtFlag)
options.MultiTraces = true;
foreach (string opt in CommandLineOptions.Clo.Z3Options)
{
Contract.Assert(opt != null);
int eq = opt.IndexOf("=");
if (eq > 0 && 'A' <= opt[0] && opt[0] <= 'Z' && !commandLineOnly.Contains(opt.Substring(0, eq)))
{
options.AddSmtOption(opt.Substring(0, eq), opt.Substring(eq + 1));
}
else
{
options.AddSolverArgument(opt);
}
}
}
}
}
|