summaryrefslogtreecommitdiff
path: root/test/unit/util
diff options
context:
space:
mode:
authorMorgan Deters <mdeters@gmail.com>2010-08-17 22:24:26 +0000
committerMorgan Deters <mdeters@gmail.com>2010-08-17 22:24:26 +0000
commit08a57829cdd0ef4c02fee349b4b721d3e4a3f6d1 (patch)
tree9ea214ffb5a5a03e3c71c09814f17787be6d022b /test/unit/util
parentdaf715e2ccb53bd88c6f374840b5d41e72c61c90 (diff)
Merge from "cc" branch:
CongruenceClosure implementation; CongruenceClosure white-box test. New UF theory implementation based on new CC module. This one supports predicates. The two UF implementations exist in parallel (they can be selected at runtime via the new command line option "--uf"). Added type infrastructure for TUPLE. Fixes to unit tests that failed in 16-August-2010 regressions. Needed to instantiate TheoryEngine with an Options structure, and explicitly call ->shutdown() on it before destruction (like the SMTEngine does). Fixed test makefiles to (1) perform all tests even in the presence of failures, (2) give proper summaries of subdirectory tests (e.g. regress0/uf and regress0/precedence) Other minor changes.
Diffstat (limited to 'test/unit/util')
-rw-r--r--test/unit/util/congruence_closure_white.h454
1 files changed, 454 insertions, 0 deletions
diff --git a/test/unit/util/congruence_closure_white.h b/test/unit/util/congruence_closure_white.h
new file mode 100644
index 000000000..273f9cfa5
--- /dev/null
+++ b/test/unit/util/congruence_closure_white.h
@@ -0,0 +1,454 @@
+/********************* */
+/*! \file congruence_closure_white.h
+ ** \verbatim
+ ** Original author: mdeters
+ ** Major contributors: none
+ ** Minor contributors (to current version): none
+ ** This file is part of the CVC4 prototype.
+ ** Copyright (c) 2009, 2010 The Analysis of Computer Systems Group (ACSys)
+ ** Courant Institute of Mathematical Sciences
+ ** New York University
+ ** See the file COPYING in the top-level source directory for licensing
+ ** information.\endverbatim
+ **
+ ** \brief White box testing of CVC4::CongruenceClosure.
+ **
+ ** White box testing of CVC4::CongruenceClosure.
+ **/
+
+#include <cxxtest/TestSuite.h>
+#include <sstream>
+
+#include "context/context.h"
+#include "context/cdset.h"
+#include "context/cdmap.h"
+#include "expr/node.h"
+#include "expr/kind.h"
+#include "expr/node_manager.h"
+#include "util/congruence_closure.h"
+
+
+using namespace CVC4;
+using namespace CVC4::context;
+using namespace std;
+
+
+struct MyOutputChannel {
+ CDSet<Node, NodeHashFunction> d_notifications;
+ CDMap<Node, Node, NodeHashFunction> d_equivalences;
+ NodeManager* d_nm;
+
+ MyOutputChannel(Context* ctxt, NodeManager* nm) :
+ d_notifications(ctxt),
+ d_equivalences(ctxt),
+ d_nm(nm) {
+ }
+
+ bool saw(TNode a, TNode b) {
+ return d_notifications.contains(d_nm->mkNode(kind::EQUAL, a, b)) ||
+ d_notifications.contains(d_nm->mkNode(kind::EQUAL, b, a));
+ }
+
+ TNode find(TNode n) {
+ CDMap<Node, Node, NodeHashFunction>::iterator i = d_equivalences.find(n);
+ if(i == d_equivalences.end()) {
+ return n;
+ } else {
+ // lazy path compression
+ TNode p = (*i).second; // parent
+ TNode f = d_equivalences[n] = find(p); // compress
+ return f;
+ }
+ }
+
+ bool areCongruent(TNode a, TNode b) {
+ Debug("cc") << "=== a is " << a << std::endl
+ << "=== a' is " << find(a) << std::endl
+ << "=== b is " << b << std::endl
+ << "=== b' is " << find(b) << std::endl;
+
+ return find(a) == find(b);
+ }
+
+ void notifyCongruent(TNode a, TNode b) {
+ Debug("cc") << "======OI! I've been notified of: "
+ << a << " == " << b << std::endl;
+
+ Node eq = d_nm->mkNode(kind::EQUAL, a, b);
+ Node eqRev = d_nm->mkNode(kind::EQUAL, b, a);
+
+ TS_ASSERT(!d_notifications.contains(eq));
+ TS_ASSERT(!d_notifications.contains(eqRev));
+
+ d_notifications.insert(eq);
+
+ d_equivalences.insert(a, b);
+ }
+};/* class MyOutputChannel */
+
+
+class CongruenceClosureWhite : public CxxTest::TestSuite {
+ Context* d_context;
+ NodeManager* d_nm;
+ NodeManagerScope* d_scope;
+ MyOutputChannel* d_out;
+ CongruenceClosure<MyOutputChannel>* d_cc;
+
+ TypeNode U;
+ Node a, f, fa, ffa, fffa, ffffa, b, fb, ffb, fffb, ffffb;
+ Node g, gab, gba, gfafb, gfbfa, gfaa, gbfb;
+ Node h, hab, hba, hfaa;
+ Node a_eq_b, fa_eq_b, a_eq_fb, fa_eq_fb, h_eq_g;
+public:
+
+ void setUp() {
+ d_context = new Context;
+ d_nm = new NodeManager(d_context);
+ d_scope = new NodeManagerScope(d_nm);
+ d_out = new MyOutputChannel(d_context, d_nm);
+ d_cc = new CongruenceClosure<MyOutputChannel>(d_context, d_out);
+
+ U = d_nm->mkSort("U");
+
+ f = d_nm->mkVar("f", d_nm->mkFunctionType(U, U));
+ a = d_nm->mkVar("a", U);
+ fa = d_nm->mkNode(kind::APPLY_UF, f, a);
+ ffa = d_nm->mkNode(kind::APPLY_UF, f, fa);
+ fffa = d_nm->mkNode(kind::APPLY_UF, f, ffa);
+ ffffa = d_nm->mkNode(kind::APPLY_UF, f, fffa);
+ b = d_nm->mkVar("b", U);
+ fb = d_nm->mkNode(kind::APPLY_UF, f, b);
+ ffb = d_nm->mkNode(kind::APPLY_UF, f, fb);
+ fffb = d_nm->mkNode(kind::APPLY_UF, f, ffb);
+ ffffb = d_nm->mkNode(kind::APPLY_UF, f, fffb);
+ vector<TypeNode> args(2, U);
+ g = d_nm->mkVar("g", d_nm->mkFunctionType(args, U));
+ gab = d_nm->mkNode(kind::APPLY_UF, g, a, b);
+ gfafb = d_nm->mkNode(kind::APPLY_UF, g, fa, fb);
+ gba = d_nm->mkNode(kind::APPLY_UF, g, b, a);
+ gfbfa = d_nm->mkNode(kind::APPLY_UF, g, fb, fa);
+ gfaa = d_nm->mkNode(kind::APPLY_UF, g, fa, a);
+ gbfb = d_nm->mkNode(kind::APPLY_UF, g, b, fb);
+ h = d_nm->mkVar("h", d_nm->mkFunctionType(args, U));
+ hab = d_nm->mkNode(kind::APPLY_UF, h, a, b);
+ hba = d_nm->mkNode(kind::APPLY_UF, h, b, a);
+ hfaa = d_nm->mkNode(kind::APPLY_UF, h, fa, a);
+
+ a_eq_b = d_nm->mkNode(kind::EQUAL, a, b);
+ fa_eq_b = d_nm->mkNode(kind::EQUAL, fa, b);
+ a_eq_fb = d_nm->mkNode(kind::EQUAL, a, fb);
+ fa_eq_fb = d_nm->mkNode(kind::EQUAL, fa, fb);
+
+ h_eq_g = d_nm->mkNode(kind::EQUAL, h, g);
+ }
+
+ void tearDown() {
+ try {
+ f = a = fa = ffa = fffa = ffffa = Node::null();
+ b = fb = ffb = fffb = ffffb = Node::null();
+ g = gab = gba = gfafb = gfbfa = gfaa = gbfb = Node::null();
+ h = hab = hba = hfaa = Node::null();
+ a_eq_b = fa_eq_b = a_eq_fb = fa_eq_fb = h_eq_g = Node::null();
+ U = TypeNode::null();
+
+ delete d_cc;
+ delete d_out;
+ delete d_scope;
+ delete d_nm;
+ delete d_context;
+
+ } catch(Exception& e) {
+ Warning() << std::endl << e << std::endl;
+ throw;
+ }
+ }
+
+ void testSimple() {
+ //Debug.on("cc");
+ // add terms, then add equalities
+
+ d_cc->addTerm(fa);
+ d_cc->addTerm(fb);
+
+ d_cc->addEquality(a_eq_b);
+
+ TS_ASSERT(d_out->areCongruent(fa, fb));
+ TS_ASSERT(d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(d_cc->areCongruent(a, b));
+ }
+
+ void testSimpleReverse() {
+ // add equalities, then add terms; should get the same as
+ // testSimple()
+
+ d_cc->addEquality(a_eq_b);
+
+ d_cc->addTerm(fa);
+ d_cc->addTerm(fb);
+
+ TS_ASSERT(d_out->areCongruent(fa, fb));
+ TS_ASSERT(d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(d_cc->areCongruent(a, b));
+ }
+
+ void testSimpleContextual() {
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(!d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(!d_cc->areCongruent(a, b));
+
+ {
+ d_context->push();
+
+ d_cc->addTerm(fa);
+ d_cc->addTerm(fb);
+
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(!d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(!d_cc->areCongruent(a, b));
+
+ {
+ d_context->push();
+
+ d_cc->addEquality(a_eq_b);
+
+ TS_ASSERT(d_out->areCongruent(fa, fb));
+ TS_ASSERT(d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(d_cc->areCongruent(a, b));
+
+ d_context->pop();
+ }
+
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(!d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(!d_cc->areCongruent(a, b));
+
+ d_context->pop();
+ }
+
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(!d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(!d_cc->areCongruent(a, b));
+ }
+
+ void testSimpleContextualReverse() {
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(!d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(!d_cc->areCongruent(a, b));
+
+ {
+ d_context->push();
+
+ d_cc->addEquality(a_eq_b);
+
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(d_cc->areCongruent(a, b));
+
+ {
+ d_context->push();
+
+ d_cc->addTerm(fa);
+ d_cc->addTerm(fb);
+
+ TS_ASSERT(d_out->areCongruent(fa, fb));
+ TS_ASSERT(d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(d_cc->areCongruent(a, b));
+
+ d_context->pop();
+ }
+
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(d_cc->areCongruent(a, b));
+
+ d_context->pop();
+ }
+
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(!d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(!d_cc->areCongruent(a, b));
+ }
+
+ void test_f_of_f_of_something() {
+ d_cc->addTerm(ffa);
+ d_cc->addTerm(ffb);
+
+ d_cc->addEquality(a_eq_b);
+
+ TS_ASSERT(d_out->areCongruent(ffa, ffb));
+ TS_ASSERT(d_cc->areCongruent(ffa, ffb));
+
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(d_cc->areCongruent(a, b));
+ }
+
+ void test_f4_of_something() {
+ d_cc->addTerm(ffffa);
+ d_cc->addTerm(ffffb);
+
+ d_cc->addEquality(a_eq_b);
+
+ TS_ASSERT(d_out->areCongruent(ffffa, ffffb));
+ TS_ASSERT(d_cc->areCongruent(ffffa, ffffb));
+
+ TS_ASSERT(!d_out->areCongruent(fffa, fffb));
+ TS_ASSERT(d_cc->areCongruent(fffa, fffb));
+
+ TS_ASSERT(!d_out->areCongruent(ffa, ffb));
+ TS_ASSERT(d_cc->areCongruent(ffa, ffb));
+
+ TS_ASSERT(!d_out->areCongruent(fa, fb));
+ TS_ASSERT(d_cc->areCongruent(fa, fb));
+
+ TS_ASSERT(!d_out->areCongruent(a, b));
+ TS_ASSERT(d_cc->areCongruent(a, b));
+ }
+
+ void testSimpleBinaryFunction() {
+ d_cc->addTerm(gab);
+ d_cc->addTerm(gba);
+
+ d_cc->addEquality(a_eq_b);
+
+ TS_ASSERT(d_out->areCongruent(gab, gba));
+ TS_ASSERT(d_cc->areCongruent(gab, gba));
+ }
+
+ void testSimpleBinaryFunction2() {
+
+ //Debug.on("cc");
+ try {
+
+ d_cc->addTerm(gfafb);
+ d_cc->addTerm(gba);
+ d_cc->addTerm(hfaa);
+
+ d_cc->addEquality(a_eq_fb);
+ d_cc->addEquality(fa_eq_b);
+ d_cc->addEquality(h_eq_g);
+
+ TS_ASSERT(d_cc->areCongruent(a, fb));
+ TS_ASSERT(d_cc->areCongruent(b, fa));
+ TS_ASSERT(d_cc->areCongruent(fb, ffa));
+
+ Debug("cc") << "\n\n\n"
+ << "a norm: " << d_cc->normalize(a) << std::endl
+ << "fb norm: " << d_cc->normalize(fb) << std::endl
+ << "b norm: " << d_cc->normalize(b) << std::endl
+ << "fa norm: " << d_cc->normalize(fa) << std::endl
+ << "ffa norm: " << d_cc->normalize(ffa) << std::endl
+ << "ffffa norm " << d_cc->normalize(ffffa) << std::endl
+ << "ffffb norm " << d_cc->normalize(ffffb) << std::endl
+ << "gba norm: " << d_cc->normalize(gba) << std::endl
+ << "gfaa norm: " << d_cc->normalize(gfaa) << std::endl
+ << "gbfb norm: " << d_cc->normalize(gbfb) << std::endl
+ << "gfafb norm: " << d_cc->normalize(gfafb) << std::endl
+ << "hab norm: " << d_cc->normalize(hab) << std::endl
+ << "hba norm: " << d_cc->normalize(hba) << std::endl
+ << "hfaa norm: " << d_cc->normalize(hfaa) << std::endl;
+
+ TS_ASSERT(d_out->areCongruent(gfafb, gba));
+ TS_ASSERT(d_cc->areCongruent(b, fa));
+ TS_ASSERT(d_cc->areCongruent(gfafb, hba));
+ TS_ASSERT(d_cc->areCongruent(gfafb, gba));
+ TS_ASSERT(d_cc->areCongruent(hba, gba));
+ TS_ASSERT(d_cc->areCongruent(hfaa, hba));
+ TS_ASSERT(d_out->areCongruent(hfaa, gba));// fails due to problem with care lists
+ TS_ASSERT(d_cc->areCongruent(hfaa, gba));
+
+ } catch(Exception e) {
+ cout << "\n\n" << e << "\n\n";
+ throw;
+ }
+ }
+
+ void testUF() {
+ //Debug.on("cc");
+ try{
+ Node c_0 = d_nm->mkVar("c_0", U);
+ Node c_1 = d_nm->mkVar("c_1", U);
+ Node c_2 = d_nm->mkVar("c_2", U);
+ Node c2 = d_nm->mkVar("c2", U);
+ Node c3 = d_nm->mkVar("c3", U);
+ Node c4 = d_nm->mkVar("c4", U);
+ Node c5 = d_nm->mkVar("c5", U);
+ Node c6 = d_nm->mkVar("c6", U);
+ Node c7 = d_nm->mkVar("c7", U);
+ Node c8 = d_nm->mkVar("c8", U);
+ Node c9 = d_nm->mkVar("c9", U);
+ vector<TypeNode> args2U(2, U);
+ Node f1 = d_nm->mkVar("f1", d_nm->mkFunctionType(args2U, U));
+
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_0),c_0),d_nm->mkNode(kind::APPLY_UF, f1,c_0,d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_0))));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_0),c_2),d_nm->mkNode(kind::APPLY_UF, f1,c_0,d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_2))));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_1),c_1),d_nm->mkNode(kind::APPLY_UF, f1,c_0,d_nm->mkNode(kind::APPLY_UF, f1,c_1,c_1))));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_1),c_2),d_nm->mkNode(kind::APPLY_UF, f1,c_0,d_nm->mkNode(kind::APPLY_UF, f1,c_1,c_2))));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_1),c_2),d_nm->mkNode(kind::APPLY_UF, f1,c_2,d_nm->mkNode(kind::APPLY_UF, f1,c_1,c_2))));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_2),c_0),d_nm->mkNode(kind::APPLY_UF, f1,c_2,d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_0))));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_2),c_1),d_nm->mkNode(kind::APPLY_UF, f1,c_2,d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_1))));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_0,d_nm->mkNode(kind::APPLY_UF, f1,c_2,d_nm->mkNode(kind::APPLY_UF, f1,c_2,d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_0)))),d_nm->mkNode(kind::APPLY_UF, f1,c_2,d_nm->mkNode(kind::APPLY_UF, f1,c_0,d_nm->mkNode(kind::APPLY_UF, f1,c_2,d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_2))))));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c2,c8),d_nm->mkNode(kind::APPLY_UF, f1,c4,c9)));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, c9,c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, c8,c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, c4,c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, c2,c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, c5,c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, c7,c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, c3,c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, c6,c_1));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_2),c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_1),c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_2,c_0),c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_1,c_2),c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_1,c_1),c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_1,c_0),c_1));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_1),c_0));
+ d_cc->addEquality(d_nm->mkNode(kind::EQUAL, d_nm->mkNode(kind::APPLY_UF, f1,c_0,c_0),c_0));
+ }catch(Exception &e) { cout << e << "\n"; throw e; }
+ }
+
+ void testUF2() {
+ Node f = d_nm->mkVar("f", d_nm->mkFunctionType(U, U));
+ Node x = d_nm->mkVar("x", U);
+ Node y = d_nm->mkVar("y", U);
+ Node z = d_nm->mkVar("z", U);
+ Node ffx = d_nm->mkNode(kind::APPLY_UF, f, d_nm->mkNode(kind::APPLY_UF, f, x));
+ Node fffx = d_nm->mkNode(kind::APPLY_UF, f, ffx);
+ Node ffffx = d_nm->mkNode(kind::APPLY_UF, f, fffx);
+ Node ffx_eq_fffx = ffx.eqNode(fffx);
+ Node ffx_eq_y = ffx.eqNode(y);
+ Node ffffx_eq_z = ffffx.eqNode(z);
+
+ d_cc->addEquality(ffx_eq_fffx);
+ d_cc->addEquality(ffx_eq_y);
+ d_cc->addEquality(ffffx_eq_z);
+ }
+
+};/* class CongruenceClosureWhite */
generated by cgit on debian on lair
contact matthew@masot.net with questions or feedback