optimize for the reverse direction
authorTianyi Liang <tianyi-liang@uiowa.edu>
Fri, 24 Jan 2014 17:58:07 +0000 (11:58 -0600)
committerTianyi Liang <tianyi-liang@uiowa.edu>
Fri, 24 Jan 2014 17:58:07 +0000 (11:58 -0600)
src/theory/strings/theory_strings.cpp
src/theory/strings/theory_strings.h

index 96d880a8a47d88a6255e3a240b7566f455f70578..f283ab1e769f1a759070ec5a15339f215be08b74 100644 (file)
@@ -700,9 +700,9 @@ bool TheoryStrings::getNormalForms(Node &eqc, std::vector< Node > & visited, std
                                        }
                 }
             }
-                       if( nf_n.size()>1 || ( nf_n.size()==1 && nf_n[0].getKind()==kind::CONST_STRING ) ){
+                       if( nf_n.size()>1 || ( nf_n.size()==1 && nf_n[0].getKind()==kind::CONST_STRING ) ) {
                                if( nf_n.size()>1 ){
-                                       Trace("strings-process-debug") << "Check for component lemmas for normal form "; 
+                                       Trace("strings-process-debug") << "Check for cycle lemma for normal form "; 
                                        printConcat(nf_n,"strings-process-debug");
                                        Trace("strings-process-debug") << "..." << std::endl;
                                        for( unsigned i=0; i<nf_n.size(); i++ ){
@@ -722,12 +722,12 @@ bool TheoryStrings::getNormalForms(Node &eqc, std::vector< Node > & visited, std
                                                        }
                                                        std::vector< Node > empty_vec;
                                                        Node conc = cc.size()==1 ? cc[0] : NodeManager::currentNM()->mkNode( kind::AND, cc );
-                                                       sendLemma( mkExplain( ant ), conc, "COMPONENT" );
+                                                       sendLemma( mkExplain( ant ), conc, "CYCLE" );
                                                        return true;
                                                }
                                        }
                                }
-                               if( !result ){
+                               if( !result ) {
                                        //we have a normal form that will cause a component lemma at a higher level
                                        normal_forms.clear();
                                        normal_forms_exp.clear();
@@ -739,7 +739,7 @@ bool TheoryStrings::getNormalForms(Node &eqc, std::vector< Node > & visited, std
                                if( !result ){
                                        return false;
                                }
-                       }else{
+                       } else {
                                Node nn = nf_n.size()==0 ? d_emptyString : nf_n[0];
                                //Assert( areEqual( nf_n[0], eqc ) );
                                if( !areEqual( nn, eqc ) ){
@@ -747,7 +747,7 @@ bool TheoryStrings::getNormalForms(Node &eqc, std::vector< Node > & visited, std
                                        ant.insert( ant.end(), nf_exp_n.begin(), nf_exp_n.end() );
                                        ant.push_back( n.eqNode( eqc ) );
                                        Node conc = nn.eqNode( eqc );
-                                       sendLemma( mkExplain( ant ), conc, "Trivial Equal Normal Form" );
+                                       sendLemma( mkExplain( ant ), conc, "CYCLE-T" );
                                        return true;
                                }
                        }
@@ -893,10 +893,10 @@ bool TheoryStrings::processLoop(std::vector< Node > &antec,
        //require that x is non-empty
        if( !areDisequal( normal_forms[loop_n_index][loop_index], d_emptyString ) ){
                //try to make normal_forms[loop_n_index][loop_index] equal to empty to avoid loop
-               sendSplit( normal_forms[loop_n_index][loop_index], d_emptyString, "Loop Empty x" );
+               sendSplit( normal_forms[loop_n_index][loop_index], d_emptyString, "Loop-X-E-Split" );
        } else if( !areDisequal( t_yz, d_emptyString ) && t_yz.getKind()!=kind::CONST_STRING  ) {
                //try to make normal_forms[loop_n_index][loop_index] equal to empty to avoid loop
-               sendSplit( t_yz, d_emptyString, "Loop Empty yz" );
+               sendSplit( t_yz, d_emptyString, "Loop-YZ-E-SPlit" );
        } else {
                //need to break
                antec.push_back( normal_forms[loop_n_index][loop_index].eqNode( d_emptyString ).negate() );
@@ -972,7 +972,7 @@ bool TheoryStrings::processNEqc(std::vector< std::vector< Node > > &normal_forms
        int c_i, c_j, c_loop_n_index, c_other_n_index, c_loop_index, c_index, c_other_index;
        for(unsigned i=0; i<normal_forms.size()-1; i++) {
                //unify each normalform[j] with normal_forms[i]
-               for( unsigned j=i+1; j<normal_forms.size(); j++ ) {
+               for(unsigned j=i+1; j<normal_forms.size(); j++ ) {
                        Trace("strings-solve") << "Strings: Process normal form #" << i << " against #" << j << "..." << std::endl;
                        if( isNormalFormPair( normal_form_src[i], normal_form_src[j] ) ) {
                                Trace("strings-solve") << "Strings: Already cached." << std::endl;
@@ -982,217 +982,155 @@ bool TheoryStrings::processNEqc(std::vector< std::vector< Node > > &normal_forms
                                curr_exp.insert(curr_exp.end(), normal_forms_exp[i].begin(), normal_forms_exp[i].end() );
                                curr_exp.insert(curr_exp.end(), normal_forms_exp[j].begin(), normal_forms_exp[j].end() );
                                curr_exp.push_back( NodeManager::currentNM()->mkNode( kind::EQUAL, normal_form_src[i], normal_form_src[j] ) );
+
+                               //process the reverse direction first (check for easy conflicts and inferences)
+                               if( processReverseNEq( normal_forms, normal_form_src, curr_exp, i, j ) ){
+                                       return true;
+                               }
+
                                //ensure that normal_forms[i] and normal_forms[j] are the same modulo equality
                                unsigned index_i = 0;
                                unsigned index_j = 0;
                                bool success;
                                do
                                {
+                                       //---------------------do simple stuff first
+                                       if( processSimpleNeq( normal_forms, normal_form_src, curr_exp, i, j, index_i, index_j ) ){
+                                               //added a lemma, return
+                                               return true;
+                                       }
+                                       //----------------------
+
                                        success = false;
                                        //if we are at the end
                                        if(index_i==normal_forms[i].size() || index_j==normal_forms[j].size() ) {
-                                               if( index_i==normal_forms[i].size() && index_j==normal_forms[j].size() ) {
-                                                       //we're done
-                                                       //addNormalFormPair( normal_form_src[i], normal_form_src[j] );
-                                               } else {
-                                                       //the remainder must be empty
-                                                       unsigned k = index_i==normal_forms[i].size() ? j : i;
-                                                       unsigned index_k = index_i==normal_forms[i].size() ? index_j : index_i;
-                                                       Node eq_exp;
-                                                       if( curr_exp.empty() ) {
-                                                               eq_exp = d_true;
-                                                       } else if( curr_exp.size() == 1 ) {
-                                                               eq_exp = curr_exp[0];
-                                                       } else {
-                                                               eq_exp = NodeManager::currentNM()->mkNode( kind::AND, curr_exp );
-                                                       }
-                                                       while(!d_conflict && index_k<normal_forms[k].size()) {
-                                                               //can infer that this string must be empty
-                                                               Node eq = normal_forms[k][index_k].eqNode( d_emptyString );
-                                                               Trace("strings-lemma") << "Strings: Infer " << eq << " from " << eq_exp << std::endl;
-                                                               Assert( !areEqual( d_emptyString, normal_forms[k][index_k] ) );
-                                                               d_pending.push_back( eq );
-                                                               d_pending_exp[eq] = eq_exp;
-                                                               d_infer.push_back(eq);
-                                                               d_infer_exp.push_back(eq_exp);
-                                                               index_k++;
-                                                       }
-                                               }
+                                               Assert( index_i==normal_forms[i].size() && index_j==normal_forms[j].size() );
+                                               //we're done
+                                               //addNormalFormPair( normal_form_src[i], normal_form_src[j] );
                                        } else {
-                                               Trace("strings-solve-debug") << "Process " << normal_forms[i][index_i] << " ... " << normal_forms[j][index_j] << std::endl;
-                                               if(areEqual(normal_forms[i][index_i], normal_forms[j][index_j])) {
-                                                       Trace("strings-solve-debug") << "Case 1 : strings are equal" << std::endl;
-                                                       //terms are equal, continue
-                                                       if( normal_forms[i][index_i]!=normal_forms[j][index_j] ) {
-                                                               Node eq = normal_forms[i][index_i].eqNode(normal_forms[j][index_j]);
-                                                               Trace("strings-solve-debug") << "Add to explanation : " << eq << std::endl;
-                                                               curr_exp.push_back(eq);
-                                                       }
-                                                       index_j++;
-                                                       index_i++;
-                                                       success = true;
+                                               Node length_term_i = getLength( normal_forms[i][index_i] );
+                                               Node length_term_j = getLength( normal_forms[j][index_j] );
+                                               //check  length(normal_forms[i][index]) == length(normal_forms[j][index])
+                                               if( !areDisequal(length_term_i, length_term_j) &&
+                                                       !areEqual(length_term_i, length_term_j) &&
+                                                       normal_forms[i][index_i].getKind()!=kind::CONST_STRING && 
+                                                       normal_forms[j][index_j].getKind()!=kind::CONST_STRING ) {
+                                                       //length terms are equal, merge equivalence classes if not already done so
+                                                       Node length_eq = NodeManager::currentNM()->mkNode( kind::EQUAL, length_term_i, length_term_j );
+                                                       Trace("strings-solve-debug") << "Non-simple Case 1 : string lengths neither equal nor disequal" << std::endl;
+                                                       //try to make the lengths equal via splitting on demand
+                                                       sendSplit( length_term_i, length_term_j, "Length" );
+                                                       length_eq = Rewriter::rewrite( length_eq  );
+                                                       d_pending_req_phase[ length_eq ] = true;
+                                                       return true;
                                                } else {
-                                                       Node length_term_i = getLength( normal_forms[i][index_i] );
-                                                       Node length_term_j = getLength( normal_forms[j][index_j] );
-                                                       //check  length(normal_forms[i][index]) == length(normal_forms[j][index])
-                                                       if( !areDisequal(length_term_i, length_term_j) &&
-                                                               !areEqual(length_term_i, length_term_j) &&
-                                                               normal_forms[i][index_i].getKind()!=kind::CONST_STRING && 
-                                                               normal_forms[j][index_j].getKind()!=kind::CONST_STRING ) {
-                                                               //length terms are equal, merge equivalence classes if not already done so
-                                                               Node length_eq = NodeManager::currentNM()->mkNode( kind::EQUAL, length_term_i, length_term_j );
-                                                               Trace("strings-solve-debug") << "Case 2.1 : string lengths neither equal nor disequal" << std::endl;
-                                                               //try to make the lengths equal via splitting on demand
-                                                               sendSplit( length_term_i, length_term_j, "Length" );
-                                                               length_eq = Rewriter::rewrite( length_eq  );
-                                                               d_pending_req_phase[ length_eq ] = true;
-                                                               return true;
-                                                       } else if( areEqual(length_term_i, length_term_j) ) {
-                                                               Trace("strings-solve-debug") << "Case 2.2 : string lengths are equal" << std::endl;
-                                                               Node eq = normal_forms[i][index_i].eqNode( normal_forms[j][index_j] );
-                                                               eq = Rewriter::rewrite( eq );
-                                                               Node length_eq = length_term_i.eqNode( length_term_j );
-                                                               std::vector< Node > temp_exp;
-                                                               temp_exp.insert(temp_exp.end(), curr_exp.begin(), curr_exp.end() );
-                                                               temp_exp.push_back(length_eq);
-                                                               Node eq_exp = temp_exp.empty() ? d_true :
-                                                                                               temp_exp.size() == 1 ? temp_exp[0] : NodeManager::currentNM()->mkNode( kind::AND, temp_exp );
-                                                               Trace("strings-lemma") << "Strings: Infer " << eq << " from " << eq_exp << std::endl;
-                                                               sendInfer( eq_exp, eq, "LengthEq" );
-                                                               return true;
-                                                       } else if(( normal_forms[i][index_i].getKind()!=kind::CONST_STRING && index_i==normal_forms[i].size()-1 ) || 
-                                                                         ( normal_forms[j][index_j].getKind()!=kind::CONST_STRING && index_j==normal_forms[j].size()-1 ) ) {
-                                                               Trace("strings-solve-debug") << "Case 3 : at endpoint" << std::endl;
-                                                               Node conc;
-                                                               std::vector< Node > antec;
-                                                               antec.insert(antec.end(), curr_exp.begin(), curr_exp.end() );
-                                                               std::vector< Node > eqn;
-                                                               for( unsigned r=0; r<2; r++ ) {
-                                                                       int index_k = r==0 ? index_i : index_j;
-                                                                       int k = r==0 ? i : j;
-                                                                       std::vector< Node > eqnc;
-                                                                       for( unsigned index_l=index_k; index_l<normal_forms[k].size(); index_l++ ){
-                                                                               eqnc.push_back( normal_forms[k][index_l] );
+                                                       Trace("strings-solve-debug") << "Non-simple Case 2 : must compare strings" << std::endl;
+                                                       int loop_in_i = -1;
+                                                       int loop_in_j = -1;
+                                                       if(detectLoop(normal_forms, i, j, index_i, index_j, loop_in_i, loop_in_j)) {
+                                                               if(!flag_lb) {
+                                                                       c_i = i;
+                                                                       c_j = j;
+                                                                       c_loop_n_index = loop_in_i!=-1 ? i : j;
+                                                                       c_other_n_index = loop_in_i!=-1 ? j : i;
+                                                                       c_loop_index = loop_in_i!=-1 ? loop_in_i : loop_in_j;
+                                                                       c_index = loop_in_i!=-1 ? index_i : index_j;
+                                                                       c_other_index = loop_in_i!=-1 ? index_j : index_i;
+
+                                                                       c_lb_exp = curr_exp;
+
+                                                                       if(options::stringLB() == 0) {
+                                                                               flag_lb = true;
+                                                                       } else {
+                                                                               if(processLoop(c_lb_exp, normal_forms, normal_form_src, 
+                                                                                       c_i, c_j, c_loop_n_index, c_other_n_index, c_loop_index, c_index, c_other_index)) {
+                                                                                       return true;
+                                                                               }
                                                                        }
-                                                                       eqn.push_back( mkConcat( eqnc ) );
-                                                               }
-                                                               if( areEqual( eqn[0], eqn[1] ) ) {
-                                                                       //addNormalFormPair( normal_form_src[i], normal_form_src[j] );
-                                                               } else {
-                                                                       conc = eqn[0].eqNode( eqn[1] );
-                                                                       Node ant = mkExplain( antec );
-                                                                       sendLemma( ant, conc, "ENDPOINT" );
-                                                                       return true;
                                                                }
                                                        } else {
-                                                               Trace("strings-solve-debug") << "Case 4 : must compare strings" << std::endl;
-                                                               int loop_in_i = -1;
-                                                               int loop_in_j = -1;
-                                                               if(detectLoop(normal_forms, i, j, index_i, index_j, loop_in_i, loop_in_j)) {
-                                                                       if(!flag_lb) {
-                                                                               c_i = i;
-                                                                               c_j = j;
-                                                                               c_loop_n_index = loop_in_i!=-1 ? i : j;
-                                                                               c_other_n_index = loop_in_i!=-1 ? j : i;
-                                                                               c_loop_index = loop_in_i!=-1 ? loop_in_i : loop_in_j;
-                                                                               c_index = loop_in_i!=-1 ? index_i : index_j;
-                                                                               c_other_index = loop_in_i!=-1 ? index_j : index_i;
-
-                                                                               c_lb_exp = curr_exp;
-
-                                                                               if(options::stringLB() == 0) {
-                                                                                       flag_lb = true;
-                                                                               } else {
-                                                                                       if(processLoop(c_lb_exp, normal_forms, normal_form_src, 
-                                                                                               c_i, c_j, c_loop_n_index, c_other_n_index, c_loop_index, c_index, c_other_index)) {
-                                                                                               return true;
-                                                                                       }
-                                                                               }
-                                                                       }
-                                                               } else {
-                                                                       Node conc;
-                                                                       std::vector< Node > antec;
-                                                                       Trace("strings-solve-debug") << "No loops detected." << std::endl;
-                                                                       if( normal_forms[i][index_i].getKind() == kind::CONST_STRING ||
-                                                                               normal_forms[j][index_j].getKind() == kind::CONST_STRING) {
-                                                                               unsigned const_k = normal_forms[i][index_i].getKind() == kind::CONST_STRING ? i : j;
-                                                                               unsigned const_index_k = normal_forms[i][index_i].getKind() == kind::CONST_STRING ? index_i : index_j;
-                                                                               unsigned nconst_k = normal_forms[i][index_i].getKind() == kind::CONST_STRING ? j : i;
-                                                                               unsigned nconst_index_k = normal_forms[i][index_i].getKind() == kind::CONST_STRING ? index_j : index_i;
-                                                                               Node const_str = normal_forms[const_k][const_index_k];
-                                                                               Node other_str = normal_forms[nconst_k][nconst_index_k];
-                                                                               if( other_str.getKind() == kind::CONST_STRING ) {
-                                                                                       unsigned len_short = const_str.getConst<String>().size() <= other_str.getConst<String>().size() ? const_str.getConst<String>().size() : other_str.getConst<String>().size();
-                                                                                       if( const_str.getConst<String>().strncmp(other_str.getConst<String>(), len_short) ) {
-                                                                                               //same prefix
-                                                                                               //k is the index of the string that is shorter
-                                                                                               int k = const_str.getConst<String>().size()<other_str.getConst<String>().size() ? i : j;
-                                                                                               int index_k = const_str.getConst<String>().size()<other_str.getConst<String>().size() ? index_i : index_j;
-                                                                                               int l = const_str.getConst<String>().size()<other_str.getConst<String>().size() ? j : i;
-                                                                                               int index_l = const_str.getConst<String>().size()<other_str.getConst<String>().size() ? index_j : index_i;
-                                                                                               Node remainderStr = NodeManager::currentNM()->mkConst( normal_forms[l][index_l].getConst<String>().substr(len_short) );
-                                                                                               Trace("strings-solve-debug-test") << "Break normal form of " << normal_forms[l][index_l] << " into " << normal_forms[k][index_k] << ", " << remainderStr << std::endl;
-                                                                                               normal_forms[l].insert( normal_forms[l].begin()+index_l + 1, remainderStr );
-                                                                                               normal_forms[l][index_l] = normal_forms[k][index_k];
-                                                                                               success = true;
-                                                                                       } else {
-                                                                                               //curr_exp is conflict
-                                                                                               antec.insert(antec.end(), curr_exp.begin(), curr_exp.end() );
-                                                                                               Node ant = mkExplain( antec );
-                                                                                               sendLemma( ant, conc, "Conflict" );
-                                                                                               return true;
-                                                                                       }
+                                                               Node conc;
+                                                               std::vector< Node > antec;
+                                                               Trace("strings-solve-debug") << "No loops detected." << std::endl;
+                                                               if( normal_forms[i][index_i].getKind() == kind::CONST_STRING ||
+                                                                       normal_forms[j][index_j].getKind() == kind::CONST_STRING) {
+                                                                       unsigned const_k = normal_forms[i][index_i].getKind() == kind::CONST_STRING ? i : j;
+                                                                       unsigned const_index_k = normal_forms[i][index_i].getKind() == kind::CONST_STRING ? index_i : index_j;
+                                                                       unsigned nconst_k = normal_forms[i][index_i].getKind() == kind::CONST_STRING ? j : i;
+                                                                       unsigned nconst_index_k = normal_forms[i][index_i].getKind() == kind::CONST_STRING ? index_j : index_i;
+                                                                       Node const_str = normal_forms[const_k][const_index_k];
+                                                                       Node other_str = normal_forms[nconst_k][nconst_index_k];
+                                                                       if( other_str.getKind() == kind::CONST_STRING ) {
+                                                                               unsigned len_short = const_str.getConst<String>().size() <= other_str.getConst<String>().size() ? const_str.getConst<String>().size() : other_str.getConst<String>().size();
+                                                                               if( const_str.getConst<String>().strncmp(other_str.getConst<String>(), len_short) ) {
+                                                                                       //same prefix
+                                                                                       //k is the index of the string that is shorter
+                                                                                       int k = const_str.getConst<String>().size()<other_str.getConst<String>().size() ? i : j;
+                                                                                       int index_k = const_str.getConst<String>().size()<other_str.getConst<String>().size() ? index_i : index_j;
+                                                                                       int l = const_str.getConst<String>().size()<other_str.getConst<String>().size() ? j : i;
+                                                                                       int index_l = const_str.getConst<String>().size()<other_str.getConst<String>().size() ? index_j : index_i;
+                                                                                       Node remainderStr = NodeManager::currentNM()->mkConst( normal_forms[l][index_l].getConst<String>().substr(len_short) );
+                                                                                       Trace("strings-solve-debug-test") << "Break normal form of " << normal_forms[l][index_l] << " into " << normal_forms[k][index_k] << ", " << remainderStr << std::endl;
+                                                                                       normal_forms[l].insert( normal_forms[l].begin()+index_l + 1, remainderStr );
+                                                                                       normal_forms[l][index_l] = normal_forms[k][index_k];
+                                                                                       success = true;
                                                                                } else {
-                                                                                       Assert( other_str.getKind()!=kind::STRING_CONCAT );
+                                                                                       //curr_exp is conflict
                                                                                        antec.insert(antec.end(), curr_exp.begin(), curr_exp.end() );
-                                                                                       Node firstChar = const_str.getConst<String>().size() == 1 ? const_str :
-                                                                                               NodeManager::currentNM()->mkConst( const_str.getConst<String>().substr(0, 1) );
-                                                                                       //split the string
-                                                                                       Node eq1 = Rewriter::rewrite( other_str.eqNode( d_emptyString ) );
-                                                                                       Node eq2 = mkSplitEq( "c_spt_$$", "created for v/c split", other_str, firstChar, false );
-                                                                                       d_pending_req_phase[ eq1 ] = true;
-                                                                                       conc = NodeManager::currentNM()->mkNode( kind::OR, eq1, eq2 );
-                                                                                       Trace("strings-solve-debug") << "Break normal form constant/variable " << std::endl;
-
                                                                                        Node ant = mkExplain( antec );
-                                                                                       sendLemma( ant, conc, "CST-SPLIT" );
+                                                                                       sendLemma( ant, conc, "Conflict" );
                                                                                        return true;
                                                                                }
                                                                        } else {
-                                                                               std::vector< Node > antec_new_lits;
+                                                                               Assert( other_str.getKind()!=kind::STRING_CONCAT );
                                                                                antec.insert(antec.end(), curr_exp.begin(), curr_exp.end() );
-
-                                                                               Node ldeq = NodeManager::currentNM()->mkNode( kind::EQUAL, length_term_i, length_term_j ).negate();
-                                                                               if( d_equalityEngine.areDisequal( length_term_i, length_term_j, true ) ){
-                                                                                       antec.push_back( ldeq );
-                                                                               }else{
-                                                                                       antec_new_lits.push_back(ldeq);
-                                                                               }
-
-                                                                               //x!=e /\ y!=e
-                                                                               for(unsigned xory=0; xory<2; xory++) {
-                                                                                       Node x = xory==0 ? normal_forms[i][index_i] : normal_forms[j][index_j];
-                                                                                       Node xgtz = x.eqNode( d_emptyString ).negate();
-                                                                                       if( areDisequal( x, d_emptyString ) ) {
-                                                                                               antec.push_back( xgtz );
-                                                                                       } else {
-                                                                                               antec_new_lits.push_back( xgtz );
-                                                                                       }
-                                                                               }
-
-                                                                               //Node sk = NodeManager::currentNM()->mkSkolem( "v_spt_$$", normal_forms[i][index_i].getType(), "created for v/v split" );
-                                                                               //Node eq1 = Rewriter::rewrite( NodeManager::currentNM()->mkNode( kind::EQUAL, normal_forms[i][index_i],
-                                                                               //                      NodeManager::currentNM()->mkNode( kind::STRING_CONCAT, normal_forms[j][index_j], sk ) ) );
-                                                                               //Node eq2 = Rewriter::rewrite( NodeManager::currentNM()->mkNode( kind::EQUAL, normal_forms[j][index_j],
-                                                                               //                      NodeManager::currentNM()->mkNode( kind::STRING_CONCAT, normal_forms[i][index_i], sk ) ) );
-                                                                               Node eq1 = mkSplitEq( "v_spt_l_$$", "created for v/v split", normal_forms[i][index_i], normal_forms[j][index_j], true );
-                                                                               Node eq2 = mkSplitEq( "v_spt_r_$$", "created for v/v split", normal_forms[j][index_j], normal_forms[i][index_i], true );
+                                                                               Node firstChar = const_str.getConst<String>().size() == 1 ? const_str :
+                                                                                       NodeManager::currentNM()->mkConst( const_str.getConst<String>().substr(0, 1) );
+                                                                               //split the string
+                                                                               Node eq1 = Rewriter::rewrite( other_str.eqNode( d_emptyString ) );
+                                                                               Node eq2 = mkSplitEq( "c_spt_$$", "created for v/c split", other_str, firstChar, false );
+                                                                               d_pending_req_phase[ eq1 ] = true;
                                                                                conc = NodeManager::currentNM()->mkNode( kind::OR, eq1, eq2 );
+                                                                               Trace("strings-solve-debug") << "Break normal form constant/variable " << std::endl;
 
-                                                                               Node ant = mkExplain( antec, antec_new_lits );
-                                                                               sendLemma( ant, conc, "VAR-SPLIT" );
+                                                                               Node ant = mkExplain( antec );
+                                                                               sendLemma( ant, conc, "CST-SPLIT" );
                                                                                return true;
                                                                        }
+                                                               } else {
+                                                                       std::vector< Node > antec_new_lits;
+                                                                       antec.insert(antec.end(), curr_exp.begin(), curr_exp.end() );
+
+                                                                       Node ldeq = NodeManager::currentNM()->mkNode( kind::EQUAL, length_term_i, length_term_j ).negate();
+                                                                       if( d_equalityEngine.areDisequal( length_term_i, length_term_j, true ) ){
+                                                                               antec.push_back( ldeq );
+                                                                       }else{
+                                                                               antec_new_lits.push_back(ldeq);
+                                                                       }
+
+                                                                       //x!=e /\ y!=e
+                                                                       for(unsigned xory=0; xory<2; xory++) {
+                                                                               Node x = xory==0 ? normal_forms[i][index_i] : normal_forms[j][index_j];
+                                                                               Node xgtz = x.eqNode( d_emptyString ).negate();
+                                                                               if( areDisequal( x, d_emptyString ) ) {
+                                                                                       antec.push_back( xgtz );
+                                                                               } else {
+                                                                                       antec_new_lits.push_back( xgtz );
+                                                                               }
+                                                                       }
+
+                                                                       //Node sk = NodeManager::currentNM()->mkSkolem( "v_spt_$$", normal_forms[i][index_i].getType(), "created for v/v split" );
+                                                                       //Node eq1 = Rewriter::rewrite( NodeManager::currentNM()->mkNode( kind::EQUAL, normal_forms[i][index_i],
+                                                                       //                      NodeManager::currentNM()->mkNode( kind::STRING_CONCAT, normal_forms[j][index_j], sk ) ) );
+                                                                       //Node eq2 = Rewriter::rewrite( NodeManager::currentNM()->mkNode( kind::EQUAL, normal_forms[j][index_j],
+                                                                       //                      NodeManager::currentNM()->mkNode( kind::STRING_CONCAT, normal_forms[i][index_i], sk ) ) );
+                                                                       Node eq1 = mkSplitEq( "v_spt_l_$$", "created for v/v split", normal_forms[i][index_i], normal_forms[j][index_j], true );
+                                                                       Node eq2 = mkSplitEq( "v_spt_r_$$", "created for v/v split", normal_forms[j][index_j], normal_forms[i][index_i], true );
+                                                                       conc = NodeManager::currentNM()->mkNode( kind::OR, eq1, eq2 );
+
+                                                                       Node ant = mkExplain( antec, antec_new_lits );
+                                                                       sendLemma( ant, conc, "VAR-SPLIT" );
+                                                                       return true;
                                                                }
                                                        }
                                                }
@@ -1214,6 +1152,112 @@ bool TheoryStrings::processNEqc(std::vector< std::vector< Node > > &normal_forms
        return false;
 }
 
+bool TheoryStrings::processReverseNEq( std::vector< std::vector< Node > > &normal_forms,
+                                                                          std::vector< Node > &normal_form_src, std::vector< Node > &curr_exp, unsigned i, unsigned j ) {
+       //reverse normal form of i, j
+       std::reverse( normal_forms[i].begin(), normal_forms[i].end() );
+       std::reverse( normal_forms[j].begin(), normal_forms[j].end() );
+
+       std::vector< Node > t_curr_exp;
+       t_curr_exp.insert( t_curr_exp.begin(), curr_exp.begin(), curr_exp.end() );
+       unsigned index_i = 0;
+       unsigned index_j = 0;
+       bool ret = processSimpleNeq( normal_forms, normal_form_src, t_curr_exp, i, j, index_i, index_j );
+
+       //reverse normal form of i, j
+       std::reverse( normal_forms[i].begin(), normal_forms[i].end() );
+       std::reverse( normal_forms[j].begin(), normal_forms[j].end() );
+
+       return ret;
+}
+
+bool TheoryStrings::processSimpleNeq( std::vector< std::vector< Node > > &normal_forms,
+                                                                         std::vector< Node > &normal_form_src, std::vector< Node > &curr_exp,
+                                                                         unsigned i, unsigned j, unsigned& index_i, unsigned& index_j ) {
+       bool success;
+       do {
+               success = false;
+               //if we are at the end
+               if(index_i==normal_forms[i].size() || index_j==normal_forms[j].size() ) {
+                       if( index_i==normal_forms[i].size() && index_j==normal_forms[j].size() ) {
+                               //we're done
+                       } else {
+                               //the remainder must be empty
+                               unsigned k = index_i==normal_forms[i].size() ? j : i;
+                               unsigned index_k = index_i==normal_forms[i].size() ? index_j : index_i;
+                               Node eq_exp = mkAnd( curr_exp );
+                               while(!d_conflict && index_k<normal_forms[k].size()) {
+                                       //can infer that this string must be empty
+                                       Node eq = normal_forms[k][index_k].eqNode( d_emptyString );
+                                       Trace("strings-lemma") << "Strings: Infer " << eq << " from " << eq_exp << std::endl;
+                                       Assert( !areEqual( d_emptyString, normal_forms[k][index_k] ) );
+                                       sendInfer( eq_exp, eq, "EQ_Endpoint" );
+                                       index_k++;
+                               }
+                               return true;
+                       }
+               }else{
+                       Trace("strings-solve-debug") << "Process " << normal_forms[i][index_i] << " ... " << normal_forms[j][index_j] << std::endl;
+                       if(areEqual(normal_forms[i][index_i], normal_forms[j][index_j])) {
+                               Trace("strings-solve-debug") << "Simple Case 1 : strings are equal" << std::endl;
+                               //terms are equal, continue
+                               if( normal_forms[i][index_i]!=normal_forms[j][index_j] ) {
+                                       Node eq = normal_forms[i][index_i].eqNode(normal_forms[j][index_j]);
+                                       Trace("strings-solve-debug") << "Add to explanation : " << eq << std::endl;
+                                       curr_exp.push_back(eq);
+                               }
+                               index_j++;
+                               index_i++;
+                               success = true;
+                       } else {
+                               Node length_term_i = getLength( normal_forms[i][index_i] );
+                               Node length_term_j = getLength( normal_forms[j][index_j] );
+                               //check  length(normal_forms[i][index]) == length(normal_forms[j][index])
+                               if( areEqual(length_term_i, length_term_j) ) {
+                                       Trace("strings-solve-debug") << "Simple Case 2 : string lengths are equal" << std::endl;
+                                       Node eq = normal_forms[i][index_i].eqNode( normal_forms[j][index_j] );
+                                       //eq = Rewriter::rewrite( eq );
+                                       Node length_eq = length_term_i.eqNode( length_term_j );
+                                       std::vector< Node > temp_exp;
+                                       temp_exp.insert(temp_exp.end(), curr_exp.begin(), curr_exp.end() );
+                                       temp_exp.push_back(length_eq);
+                                       Node eq_exp = temp_exp.empty() ? d_true :
+                                                                       temp_exp.size() == 1 ? temp_exp[0] : NodeManager::currentNM()->mkNode( kind::AND, temp_exp );
+                                       sendInfer( eq_exp, eq, "LengthEq" );
+                                       return true;
+                               } else if(( normal_forms[i][index_i].getKind()!=kind::CONST_STRING && index_i==normal_forms[i].size()-1 ) || 
+                                                 ( normal_forms[j][index_j].getKind()!=kind::CONST_STRING && index_j==normal_forms[j].size()-1 ) ) {
+                                       Trace("strings-solve-debug") << "Simple Case 3 : at endpoint" << std::endl;
+                                       Node conc;
+                                       std::vector< Node > antec;
+                                       antec.insert(antec.end(), curr_exp.begin(), curr_exp.end() );
+                                       std::vector< Node > eqn;
+                                       for( unsigned r=0; r<2; r++ ) {
+                                               int index_k = r==0 ? index_i : index_j;
+                                               int k = r==0 ? i : j;
+                                               std::vector< Node > eqnc;
+                                               for( unsigned index_l=index_k; index_l<normal_forms[k].size(); index_l++ ){
+                                                       eqnc.push_back( normal_forms[k][index_l] );
+                                               }
+                                               eqn.push_back( mkConcat( eqnc ) );
+                                       }
+                                       if( !areEqual( eqn[0], eqn[1] ) ) {
+                                               conc = eqn[0].eqNode( eqn[1] );
+                                               Node ant = mkExplain( antec );
+                                               sendLemma( ant, conc, "ENDPOINT" );
+                                               return true;
+                                       }else{
+                                               index_i = normal_forms[i].size();
+                                               index_j = normal_forms[j].size();
+                                       }
+                               }
+                       }
+               }
+       }while( success );
+       return false;
+}
+
+
 //nf_exp is conjunction
 bool TheoryStrings::normalizeEquivalenceClass( Node eqc, std::vector< Node > & visited, std::vector< Node > & nf, std::vector< Node > & nf_exp ) {
     Trace("strings-process") << "Process equivalence class " << eqc << std::endl;
@@ -1474,6 +1518,7 @@ void TheoryStrings::sendInfer( Node eq_exp, Node eq, const char * c ) {
        if( eq==d_false ){
                sendLemma( eq_exp, eq, c );
        }else{
+               Trace("strings-lemma") << "Strings::Infer " << eq << " from " << eq_exp << std::endl;
                d_pending.push_back( eq );
                d_pending_exp[eq] = eq_exp;
                d_infer.push_back(eq);
@@ -1556,6 +1601,16 @@ Node TheoryStrings::mkExplain( std::vector< Node >& a, std::vector< Node >& an )
     return ant;
 }
 
+Node TheoryStrings::mkAnd( std::vector< Node >& a ) {
+       if( a.empty() ) {
+               return d_true;
+       } else if( a.size() == 1 ) {
+               return a[0];
+       } else {
+               return NodeManager::currentNM()->mkNode( kind::AND, a );
+       }
+}
+
 void TheoryStrings::getConcatVec( Node n, std::vector< Node >& c ) {
        if( n.getKind()==kind::STRING_CONCAT ){
                for( unsigned i=0; i<n.getNumChildren(); i++ ){
index 7da24bb64f76907d0875dcb25a1554b193557582..3d9d1641f90b3bbb188d6fe1599bc5c36a3fb15b 100644 (file)
@@ -209,6 +209,11 @@ private:
        bool processNEqc(std::vector< std::vector< Node > > &normal_forms,
                                         std::vector< std::vector< Node > > &normal_forms_exp,
                                         std::vector< Node > &normal_form_src);
+       bool processReverseNEq(std::vector< std::vector< Node > > &normal_forms,
+                                                  std::vector< Node > &normal_form_src, std::vector< Node > &curr_exp, unsigned i, unsigned j );
+       bool processSimpleNeq( std::vector< std::vector< Node > > &normal_forms,
+                                                  std::vector< Node > &normal_form_src, std::vector< Node > &curr_exp, unsigned i, unsigned j,
+                                                  unsigned& index_i, unsigned& index_j );
     bool normalizeEquivalenceClass( Node n, std::vector< Node > & visited, std::vector< Node > & nf, std::vector< Node > & nf_exp );
     bool normalizeDisequality( Node n1, Node n2 );
        bool unrollStar( Node atom );
@@ -254,6 +259,8 @@ protected:
        /** mkExplain **/
        Node mkExplain( std::vector< Node >& a );
        Node mkExplain( std::vector< Node >& a, std::vector< Node >& an );
+       /** mkAnd **/
+       Node mkAnd( std::vector< Node >& a );
        /** get concat vector */
        void getConcatVec( Node n, std::vector< Node >& c );