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// Removing old cardinality implementation, dumping it here.
///////////////////////////////////////////////////////////////
// Commenting out processCard, creates confusion when writing
// processCard2
///////////////////////////////////////////////////////////////
// void TheorySetsPrivate::processCard(Theory::Effort level) {
// if(level != Theory::EFFORT_FULL) return;
// Trace("sets-card") << "[sets-card] processCard( " << level << ")" << std::endl;
// Trace("sets-card") << "[sets-card] # processed terms = " << d_processedCardTerms.size() << std::endl;
// Trace("sets-card") << "[sets-card] # processed pairs = " << d_processedCardPairs.size() << std::endl;
// NodeManager* nm = NodeManager::currentNM();
// bool newLemmaGenerated = false;
// // Introduce lemma
// for(typeof(d_cardTerms.begin()) it = d_cardTerms.begin();
// it != d_cardTerms.end(); ++it) {
// for(eq::EqClassIterator j(d_equalityEngine.getRepresentative((*it)[0]), &d_equalityEngine);
// !j.isFinished(); ++j) {
// Node n = nm->mkNode(kind::CARD, (*j));
// if(d_processedCardTerms.find(n) != d_processedCardTerms.end()) {
// continue;
// }
// Trace("sets-card") << "[sets-card] Processing " << n << " in eq cl of " << (*it) << std::endl;
// newLemmaGenerated = true;
// d_processedCardTerms.insert(n);
// Kind k = n[0].getKind();
// if(k == kind::SINGLETON) {
// d_external.d_out->lemma(nm->mkNode(kind::EQUAL,
// n,
// nm->mkConst(Rational(1))));
// continue;
// } else {
// d_external.d_out->lemma(nm->mkNode(kind::GEQ,
// n,
// nm->mkConst(Rational(0))));
// }
// // rest of the processing is for compound terms
// if(k != kind::UNION && k != kind::INTERSECTION && k != kind::SETMINUS) {
// continue;
// }
// Node s = min(n[0][0], n[0][1]);
// Node t = max(n[0][0], n[0][1]);
// bool isUnion = (k == kind::UNION);
// Assert(Rewriter::rewrite(s) == s);
// Assert(Rewriter::rewrite(t) == t);
// typeof(d_processedCardPairs.begin()) processedInfo = d_processedCardPairs.find(make_pair(s, t));
// if(processedInfo == d_processedCardPairs.end()) {
// Node sNt = nm->mkNode(kind::INTERSECTION, s, t);
// sNt = Rewriter::rewrite(sNt);
// Node sMt = nm->mkNode(kind::SETMINUS, s, t);
// sMt = Rewriter::rewrite(sMt);
// Node tMs = nm->mkNode(kind::SETMINUS, t, s);
// tMs = Rewriter::rewrite(tMs);
// Node card_s = nm->mkNode(kind::CARD, s);
// Node card_t = nm->mkNode(kind::CARD, t);
// Node card_sNt = nm->mkNode(kind::CARD, sNt);
// Node card_sMt = nm->mkNode(kind::CARD, sMt);
// Node card_tMs = nm->mkNode(kind::CARD, tMs);
// Node lem;
// // for s
// lem = nm->mkNode(kind::EQUAL,
// card_s,
// nm->mkNode(kind::PLUS, card_sNt, card_sMt));
// d_external.d_out->lemma(lem);
// // for t
// lem = nm->mkNode(kind::EQUAL,
// card_t,
// nm->mkNode(kind::PLUS, card_sNt, card_tMs));
// d_external.d_out->lemma(lem);
// // for union
// if(isUnion) {
// lem = nm->mkNode(kind::EQUAL,
// n, // card(s union t)
// nm->mkNode(kind::PLUS, card_sNt, card_sMt, card_tMs));
// d_external.d_out->lemma(lem);
// }
// d_processedCardPairs.insert(make_pair(make_pair(s, t), isUnion));
// } else if(isUnion && processedInfo->second == false) {
// Node sNt = nm->mkNode(kind::INTERSECTION, s, t);
// sNt = Rewriter::rewrite(sNt);
// Node sMt = nm->mkNode(kind::SETMINUS, s, t);
// sMt = Rewriter::rewrite(sMt);
// Node tMs = nm->mkNode(kind::SETMINUS, t, s);
// tMs = Rewriter::rewrite(tMs);
// Node card_s = nm->mkNode(kind::CARD, s);
// Node card_t = nm->mkNode(kind::CARD, t);
// Node card_sNt = nm->mkNode(kind::CARD, sNt);
// Node card_sMt = nm->mkNode(kind::CARD, sMt);
// Node card_tMs = nm->mkNode(kind::CARD, tMs);
// Assert(Rewriter::rewrite(n[0]) == n[0]);
// Node lem = nm->mkNode(kind::EQUAL,
// n, // card(s union t)
// nm->mkNode(kind::PLUS, card_sNt, card_sMt, card_tMs));
// d_external.d_out->lemma(lem);
// processedInfo->second = true;
// }
// }//equivalence class loop
// }//d_cardTerms loop
// if(newLemmaGenerated) {
// Trace("sets-card") << "[sets-card] New introduce done. Returning." << std::endl;
// return;
// }
// // Leaves disjoint lemmas
// buildGraph();
// // Leaves disjoint lemmas
// for(typeof(leaves.begin()) it = leaves.begin(); it != leaves.end(); ++it) {
// TNode l1 = (*it);
// if(d_equalityEngine.getRepresentative(l1).getKind() == kind::EMPTYSET) continue;
// for(typeof(leaves.begin()) jt = leaves.begin(); jt != leaves.end(); ++jt) {
// TNode l2 = (*jt);
// if(d_equalityEngine.getRepresentative(l2).getKind() == kind::EMPTYSET) continue;
// if( l1 == l2 ) continue;
// Node l1_inter_l2 = nm->mkNode(kind::INTERSECTION, min(l1, l2), max(l1, l2));
// l1_inter_l2 = Rewriter::rewrite(l1_inter_l2);
// Node emptySet = nm->mkConst<EmptySet>(EmptySet(nm->toType(l1_inter_l2.getType())));
// if(d_equalityEngine.hasTerm(l1_inter_l2) &&
// d_equalityEngine.hasTerm(emptySet) &&
// d_equalityEngine.areEqual(l1_inter_l2, emptySet)) {
// Debug("sets-card-graph") << "[sets-card-graph] Disjoint (asserted): " << l1 << " and " << l2 << std::endl;
// continue; // known to be disjoint
// }
// std::set<TNode> l1_ancestors = getReachable(edgesBk, l1);
// std::set<TNode> l2_ancestors = getReachable(edgesBk, l2);
// // have a disjoint edge
// bool loop = true;
// bool equality = false;
// for(typeof(l1_ancestors.begin()) l1_it = l1_ancestors.begin();
// l1_it != l1_ancestors.end() && loop; ++l1_it) {
// for(typeof(l2_ancestors.begin()) l2_it = l2_ancestors.begin();
// l2_it != l2_ancestors.end() && loop; ++l2_it) {
// TNode n1 = (*l1_it);
// TNode n2 = (*l2_it);
// if(disjoint.find(make_pair(n1, n2)) != disjoint.find(make_pair(n2, n1))) {
// loop = false;
// }
// if(n1 == n2) {
// equality = true;
// }
// if(d_equalityEngine.hasTerm(n1) && d_equalityEngine.hasTerm(n2) &&
// d_equalityEngine.areEqual(n1, n2)) {
// equality = true;
// }
// }
// }
// if(loop == false) {
// Debug("sets-card-graph") << "[sets-card-graph] Disjoint (always): " << l1 << " and " << l2 << std::endl;
// continue;
// }
// if(equality == false) {
// Debug("sets-card-graph") << "[sets-card-graph] No equality found: " << l1 << " and " << l2 << std::endl;
// continue;
// }
// Node lem = nm->mkNode(kind::OR,
// nm->mkNode(kind::EQUAL, l1_inter_l2, emptySet),
// nm->mkNode(kind::LT, nm->mkConst(Rational(0)),
// nm->mkNode(kind::CARD, l1_inter_l2)));
// d_external.d_out->lemma(lem);
// Trace("sets-card") << "[sets-card] Guessing disjointness of : " << l1 << " and " << l2 << std::endl;
// if(Debug.isOn("sets-card-disjoint")) {
// Debug("sets-card-disjoint") << "[sets-card-disjoint] Lemma for " << l1 << " and " << l2 << " generated because:" << std::endl;
// for(typeof(disjoint.begin()) it = disjoint.begin(); it != disjoint.end(); ++it) {
// Debug("sets-card-disjoint") << "[sets-card-disjoint] " << it->first << " " << it->second << std::endl;
// }
// }
// newLemmaGenerated = true;
// Trace("sets-card") << "[sets-card] New intersection being empty lemma generated. Returning." << std::endl;
// return;
// }
// }
// Assert(!newLemmaGenerated);
// // Elements being either equal or disequal
// for(typeof(leaves.begin()) it = leaves.begin();
// it != leaves.end(); ++it) {
// Assert(d_equalityEngine.hasTerm(*it));
// Node n = d_equalityEngine.getRepresentative(*it);
// Assert(n.getKind() == kind::EMPTYSET || leaves.find(n) != leaves.end());
// if(n != *it) continue;
// const CDTNodeList* l = d_termInfoManager->getMembers(*it);
// std::set<TNode> elems;
// for(typeof(l->begin()) l_it = l->begin(); l_it != l->end(); ++l_it) {
// elems.insert(d_equalityEngine.getRepresentative(*l_it));
// }
// for(typeof(elems.begin()) e1_it = elems.begin(); e1_it != elems.end(); ++e1_it) {
// for(typeof(elems.begin()) e2_it = elems.begin(); e2_it != elems.end(); ++e2_it) {
// if(*e1_it == *e2_it) continue;
// if(!d_equalityEngine.areDisequal(*e1_it, *e2_it, false)) {
// Node lem = nm->mkNode(kind::EQUAL, *e1_it, *e2_it);
// lem = nm->mkNode(kind::OR, lem, nm->mkNode(kind::NOT, lem));
// d_external.d_out->lemma(lem);
// newLemmaGenerated = true;
// }
// }
// }
// }
// if(newLemmaGenerated) {
// Trace("sets-card") << "[sets-card] Members arrangments lemmas. Returning." << std::endl;
// return;
// }
// // Guess leaf nodes being empty or non-empty
// for(typeof(leaves.begin()) it = leaves.begin(); it != leaves.end(); ++it) {
// Node n = d_equalityEngine.getRepresentative(*it);
// if(n.getKind() == kind::EMPTYSET) continue;
// if(d_termInfoManager->getMembers(n)->size() > 0) continue;
// Node emptySet = nm->mkConst<EmptySet>(EmptySet(nm->toType(n.getType())));
// if(!d_equalityEngine.hasTerm(emptySet)) {
// d_equalityEngine.addTerm(emptySet);
// }
// if(!d_equalityEngine.areDisequal(n, emptySet, false)) {
// Node lem = nm->mkNode(kind::EQUAL, n, emptySet);
// lem = nm->mkNode(kind::OR, lem, nm->mkNode(kind::NOT, lem));
// Assert(d_cardLowerLemmaCache.find(lem) == d_cardLowerLemmaCache.end());
// d_cardLowerLemmaCache.insert(lem);
// d_external.d_out->lemma(lem);
// newLemmaGenerated = true;
// break;
// }
// }
// if(newLemmaGenerated) {
// Trace("sets-card") << "[sets-card] New guessing leaves being empty done." << std::endl;
// return;
// }
// // Assert Lower bound
// for(typeof(leaves.begin()) it = leaves.begin();
// it != leaves.end(); ++it) {
// Assert(d_equalityEngine.hasTerm(*it));
// Node n = d_equalityEngine.getRepresentative(*it);
// Assert(n.getKind() == kind::EMPTYSET || leaves.find(n) != leaves.end());
// if(n != *it) continue;
// const CDTNodeList* l = d_termInfoManager->getMembers(n);
// std::set<TNode> elems;
// for(typeof(l->begin()) l_it = l->begin(); l_it != l->end(); ++l_it) {
// elems.insert(d_equalityEngine.getRepresentative(*l_it));
// }
// if(elems.size() == 0) continue;
// NodeBuilder<> nb(kind::OR);
// nb << ( nm->mkNode(kind::LEQ, nm->mkConst(Rational(elems.size())), nm->mkNode(kind::CARD, n)) );
// if(elems.size() > 1) {
// for(typeof(elems.begin()) e1_it = elems.begin(); e1_it != elems.end(); ++e1_it) {
// for(typeof(elems.begin()) e2_it = elems.begin(); e2_it != elems.end(); ++e2_it) {
// if(*e1_it == *e2_it) continue;
// nb << (nm->mkNode(kind::EQUAL, *e1_it, *e2_it));
// }
// }
// }
// for(typeof(elems.begin()) e_it = elems.begin(); e_it != elems.end(); ++e_it) {
// nb << nm->mkNode(kind::NOT, nm->mkNode(kind::MEMBER, *e_it, n));
// }
// Node lem = Node(nb);
// if(d_cardLowerLemmaCache.find(lem) == d_cardLowerLemmaCache.end()) {
// Trace("sets-card") << "[sets-card] Card Lower: " << lem << std::endl;
// d_external.d_out->lemma(lem);
// d_cardLowerLemmaCache.insert(lem);
// newLemmaGenerated = true;
// }
// }
// }
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