├── 2021秋-程序设计综合课程设计（2020级）.docx ├── CnfParser.cpp ├── DPLL.cpp ├── Global.h ├── OutFile.cpp ├── README.md ├── SudokuSover.cpp ├── display.cpp ├── isCorrect.cpp ├── main.cpp ├── src ├── No_sat │ ├── SGI_30_70_18_80_10-dir.shuffled-as.sat03-140-540.cnf │ ├── eu-rand_net60-25-10.shuffled-3000.cnf │ ├── gt-030.shuffled-as.sat05-1295.cnf │ ├── mm-2x2-6-6-s.1.shuffled-as.sat03-1499-400.cnf │ ├── php-010-008.shuffled-as.sat05-1171.cnf │ ├── php-010-008.shuffled-as.sat05-1171.res │ ├── tst_v10_c100.cnf │ ├── tst_v10_c100.res │ ├── u-5cnf_3500_3500_30f1.shuffled-30.cnf │ ├── u-5cnf_3900_3900_060.shuffled-60.cnf │ ├── u-5cnf_4300_4300_110.shuffled-110.cnf │ ├── u-c6288.shuffled-5008.cnf │ ├── u-dp04u03.shuffled-825.cnf │ ├── u-homer14.shuffled-300.cnf │ ├── u-homer16.shuffled-264.cnf │ ├── u-problem10-100.cnf │ ├── u-problem7-50.cnf │ ├── u-urquhart3_25bis.shuffled-99.cnf │ └── u-x1_80.shuffled-238.cnf ├── Others │ ├── ais │ │ ├── ais10.cnf │ │ ├── ais10.res │ │ ├── ais12.cnf │ │ ├── ais6.cnf │ │ └── ais8.cnf │ ├── fla-350-0.cnf │ ├── fla-350-1.cnf │ ├── fla-350-2.cnf │ ├── fla-400-1.cnf │ ├── fla-400-2.cnf │ ├── fla-400-3.cnf │ ├── fla-450-6.cnf │ ├── fla-450-7.cnf │ ├── fla-450-8.cnf │ ├── fla-450-9.cnf │ ├── fla-500-0.cnf │ ├── fla-500-1.cnf │ ├── fla-500-2.cnf │ ├── fla-600-1.cnf │ ├── fla-600-2.cnf │ ├── fla-600-3.cnf │ ├── fla-600-4.cnf │ ├── fla-600-5.cnf │ ├── fla-600-6.cnf │ ├── fla-600-7.cnf │ ├── fla-600-8.cnf │ ├── fla-600-9.cnf │ ├── problem1.cnf │ ├── tst │ │ ├── CBS_k3_n100_m403_b10_0.cnf │ │ ├── CBS_k3_n100_m403_b10_999.cnf │ │ ├── anomaly.cnf │ │ ├── bmc-ibm-2.cnf │ │ ├── bmc-ibm-5.cnf │ │ ├── bw_large.a.cnf │ │ ├── flat30-1.cnf │ │ ├── flat30-99.cnf │ │ ├── qg4-08.cnf │ │ ├── qg7-09.cnf │ │ ├── sw100-1.cnf │ │ ├── sw100-70.cnf │ │ ├── tst_v100_c160.cnf │ │ ├── tst_v100_c400.cnf │ │ ├── tst_v100_c425.cnf │ │ ├── tst_v10_c100.cnf │ │ ├── tst_v200_c210.cnf │ │ ├── tst_v200_c220.cnf │ │ ├── tst_v25_c100.cnf │ │ └── tst_v50_c500.cnf │ ├── unif-k5-r21.117-v200-c4223-S4002140054644802477.cnf │ ├── unif-k5-r21.117-v210-c4435-S4127276652013243201.cnf │ ├── unif-k5-r21.117-v220-c4646-S8880173106084916574.cnf │ ├── unif-k5-r21.117-v230-c4857-S5466032506449778945.cnf │ ├── unif-k5-r21.117-v240-c5068-S2186511053839131430.cnf │ ├── unif-k5-r21.117-v250-c5279-S6329896642998422222.cnf │ ├── unif-k5-r21.117-v340-c7180-S5246810046375068902.cnf │ ├── unif-k5-r21.117-v350-c7391-S5200354631670098160.cnf │ ├── unif-k5-r21.117-v360-c7602-S6289893278866091723.cnf │ ├── unif-k5-r21.117-v370-c7813-S7746425362655160776.cnf │ ├── unif-k5-r21.117-v380-c8024-S1091401852812731219.cnf │ ├── unif-k5-r21.117-v390-c8236-S7412914535193118493.cnf │ ├── unif-k5-r21.117-v400-c8447-S846004181796583408.cnf │ └── unif-k5-r21.117-v410-c8658-S4543518419162839699.cnf ├── Sat │ ├── L │ │ ├── e-par32-3.shuffled-3176.cnf │ │ ├── ec-iso-ukn009.shuffled-as.sat05-3632-1584.cnf │ │ ├── ec-iso-ukn009.shuffled-as.sat05-3632-1584.res │ │ ├── ec-vda_gr_rcs_w9.shuffled-6498.cnf │ │ ├── eh-dp04s04.shuffled-1075.cnf │ │ ├── eh-dp04s04.shuffled-1075.res │ │ ├── eh-vmpc_25.renamed-as.sat05-1913-625.cnf │ │ ├── eh-vmpc_29.renamed-as.sat05-1916-841.cnf │ │ ├── m-vmpc_32.renamed-as.sat05-1919-1024.cnf │ │ └── mc-sha0_36_5-50073.cnf │ ├── M │ │ ├── bart17.shuffled-231.cnf │ │ ├── bart17.shuffled-231.res │ │ ├── ec-mod2c-rand3bip-sat-250-2.shuffled-as.sat05-2534.cnf │ │ ├── m-SGI_30_80_15_90_4-dir.shuffled-as.sat03-6-450.cnf │ │ ├── m-mod2c-rand3bip-sat-220-3.shuffled-as.sat05-2490-311.cnf │ │ ├── m-mod2c-rand3bip-sat-240-2.shuffled-as.sat05-2519-338.cnf │ │ ├── problem12-200.cnf │ │ ├── problem12-200.res │ │ ├── problem5-200.cnf │ │ ├── problem5-200.res │ │ ├── sud00001.cnf │ │ ├── sud00001.res │ │ ├── sud00009.cnf │ │ ├── sud00009.res │ │ ├── sud00012.cnf │ │ ├── sud00012.res │ │ ├── sud00021.cnf │ │ ├── sud00079.cnf │ │ ├── sud00082.cnf │ │ ├── sud00861.cnf │ │ └── tst_v200_c210.cnf │ └── S │ │ ├── 7cnf20_90000_90000_7.shuffled-20.cnf │ │ ├── 7cnf20_90000_90000_7.shuffled-20.res │ │ ├── problem1-20.cnf │ │ ├── problem1-20.res │ │ ├── problem11-100.cnf │ │ ├── problem2-50.cnf │ │ ├── problem2-50.res │ │ ├── problem3-100.cnf │ │ ├── problem6-50.cnf │ │ ├── problem6-50.res │ │ ├── problem8-50.cnf │ │ ├── problem9-100.cnf │ │ ├── tst_v25_c100.cnf │ │ └── tst_v25_c100.res └── Standard │ ├── functional_test │ ├── sat-20.cnf │ ├── sat-20.res │ ├── unsat-5cnf-30.cnf │ └── unsat-5cnf-30.res │ └── performance_test │ ├── ais10.cnf │ ├── sud00009.cnf │ └── temp_test.res ├── 程序框架.md └── 程序设计综合课程设计报告撰写内容及规范化参考样本.docx /2021秋-程序设计综合课程设计（2020级）.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/lingwu-hb/DPLLsolveSATproblem/bb21cc5a02d78db8720a8fae13c3276cd267e1cc/2021秋-程序设计综合课程设计（2020级）.docx -------------------------------------------------------------------------------- /CnfParser.cpp: -------------------------------------------------------------------------------- 1 | //CnfParser.cpp 2 | #include"Global.h" 3 | int FunNum;//设置为全局变量，提供给main函数使用，用于记录cnf中变元个数 4 | HeadNode* CnfParser(string& filename){//解析文件，返回头结点指针L 5 | string PATH = filename; 6 | ifstream fp(PATH);//注意：由于\符号本身为转义字符，所以需要两个此符号 7 | if(!fp){cout << "File can not open"; exit(0);} 8 | char ch; 9 | char exp[105];//exp:对cnf文件的解释explain 10 | fp >> ch; 11 | while(ch != 'p'){ 12 | fp.getline(exp, 100); 13 | //注意：此处的exp只能是用c-string（数组），不能用string 14 | //详细解释:n:Pointer to an array of characters where extracted characters are stored as a c-string. 15 | fp >> ch; 16 | } 17 | string cnf; int ClauseNum;//分别存储CNF、变元个数、子句个数。 18 | fp >> cnf >> FunNum >> ClauseNum; 19 | //测试用例：cout << ClauseNum << " " << FunNum << endl; 20 | //下面循环将所有的子句读入到设计好的数据结构中 21 | HeadNode* L = new HeadNode;//L为HeadNode结点的头结点 22 | L->num = ClauseNum;//字句个数（也就是有多少行） 23 | HeadNode* pH = new HeadNode; L->down = pH; pH->down = nullptr;//L中num表示有多少行 24 | for(int i = 1; i <= ClauseNum; i++){ 25 | int tep; 26 | fp >> tep; 27 | DataNode* p = new DataNode; 28 | p->value = tep; pH->right = p; pH->num++; p->next = nullptr; 29 | fp >> tep; 30 | while(tep){ 31 | p = new DataNode; 32 | p->value = tep;//采用头插法建立链表 33 | p->next = pH->right; 34 | pH->right = p; 35 | pH->num++; 36 | fp >> tep; 37 | } 38 | if(i != ClauseNum){ 39 | pH = new HeadNode; 40 | pH->down = L->down; 41 | L->down = pH; 42 | } 43 | //fp.get();//get掉换行符 44 | } 45 | fp.close();//关闭文件流 46 | 47 | //将解析后的cnf文件进行输出表示，用于进行代码块测试 48 | /*HeadNode* _pH = L->down; 49 | 50 | while(_pH){ 51 | DataNode* _p = _pH->right; 52 | while(_p->next){ 53 | cout << _p->value << " "; 54 | _p = _p->next; 55 | } 56 | cout << _p->value << endl; 57 | _pH = _pH->down; 58 | } 59 | */ 60 | 61 | return L; 62 | } -------------------------------------------------------------------------------- /DPLL.cpp: -------------------------------------------------------------------------------- 1 | //DPLL.cpp 2 | //DPLL的实现文件 3 | 4 | #include"Global.h" 5 | extern int FunNum; 6 | /*这是DPLL算法的伪代码，下面的代码将其具体进行实现 7 | DPLL(合取范式S){ 8 | while(合取范式S中含有单子句){ 9 | 令单子句为真; 10 | 按照单子句传播策略将S化简为S1; 11 | if(S1 == 空集) return TRUE; 12 | else if(S1 中含有 空子句) return FALSE; 13 | } 14 | 基于某种策略选取一个变元v; 15 | if(DPLL(S1并v)) return TRUE; 16 | return DPLL(S1并-v); 17 | } 18 | */ 19 | bool DPLL(HeadNode* L, int* book){ 20 | int SC;//存储单子句(SingleClause的缩写) 21 | //cout << ++TestNum << endl; 22 | //printList(L); 23 | while(SC = isHaveSingleClause(L)){ 24 | //cout << "2-" << TestNum << " 本次循环要删除的为:" << SC << endl; 25 | if(SC > 0) book[SC] = 1; 26 | else if(SC < 0) book[0-SC] = -1;//例如：book[-(-2)] = -1表示2代表的变元取负值，即-2 27 | SimplifyCnf(L, SC);//根据单子句传播策略简化单子句 28 | //printList(L); 29 | if(isemptyCnf(L)) return TRUE; 30 | else if(isHaveEmptyClause(L)) return FALSE; 31 | } 32 | //int v = SelectWord(L); 33 | int v = SelectWord2(L);//采用最短子句优先选取规则进行选取变元 34 | //cout << "这次选取的变元为：" << v << endl; 35 | HeadNode* temL = CopyList(L); 36 | if(DPLL(merge(L, v), book)) return TRUE; 37 | bool result = DPLL(merge(temL, 0-v), book); 38 | //删除temL的内容空间 39 | FreeList(temL); 40 | return result; 41 | } 42 | 43 | bool NewDPLL(HeadNode* L, int* book){//非递归版本DPLL算法 44 | stack S; 45 | HeadNode* ListL[10000] = {nullptr}; int i = 0;//ListL用来记录每次改变的链表结点内容 46 | HeadNode* temL = nullptr; 47 | int v[10000]; int val; 48 | S.push(L); 49 | while(!S.empty()){ 50 | while((L = S.top()) && (val = SingleSpread(L, book)) == NOMAL){ 51 | //cout << "循环开始" << endl; printList(L); 52 | temL = CopyList(L); 53 | ListL[i] = temL; 54 | v[i] = SelectWord2(L); 55 | //cout << "选取的变元为：" << v[i] << endl; 56 | L = merge(L, v[i]); 57 | S.push(L);i++; 58 | } 59 | //printList(L); cout << "循环结束" << endl; 60 | if(val == TRUE) return TRUE; 61 | S.pop();i--; 62 | //cout << "此处的变元为：" << v[i] << endl; 63 | FreeList(L); 64 | //cout << "栈的大小为" << S.size() << endl; 65 | if(!S.empty()){ 66 | L = ListL[i]; S.pop(); 67 | S.push(merge(L, -v[i])); 68 | } 69 | } 70 | return FALSE; 71 | } 72 | 73 | int SingleSpread(HeadNode* L, int* book){ 74 | int SC;//存储单子句(SingleClause的缩写) 75 | //cout << ++TestNum << endl; 76 | //printList(L); 77 | while(SC = isHaveSingleClause(L)){ 78 | //cout << "2-" << TestNum << " 本次循环要删除的为:" << SC << endl; 79 | if(SC > 0) book[SC] = 1; 80 | else if(SC < 0) book[0-SC] = -1;//例如：book[-(-2)] = -1表示2代表的变元取负值，即-2 81 | SimplifyCnf(L, SC);//根据单子句传播策略简化单子句 82 | //printList(L); 83 | if(isemptyCnf(L)) return TRUE; 84 | else if(isHaveEmptyClause(L)) return FALSE; 85 | } 86 | return NOMAL; 87 | } 88 | 89 | //L中存储的合区范式是否含有单子句（只含有一个文字的子句叫做单子句） 90 | //如果含有单子句，则返回单子句的值 91 | //如果不含有单子句，则返回0 92 | int isHaveSingleClause(HeadNode* L){ 93 | HeadNode* _pH = L->down; 94 | while(_pH){ 95 | if(_pH->num == 1) return _pH->right->value; 96 | _pH = _pH->down; 97 | } 98 | return 0; 99 | } 100 | 101 | //根据单子句SC进行化简范式L——含有SC的子句直接去掉，含有-SC的子句中去掉-SC这个文字 102 | void SimplifyCnf(HeadNode* L, int SC){ 103 | HeadNode* _pH = L->down; 104 | HeadNode* _fpH = L;//记录之前遍历过的结点 105 | int flag; 106 | while(_pH){ 107 | DataNode* _p = _pH->right; 108 | DataNode* _fp = _p; 109 | flag = 0; 110 | while(_p){ 111 | flag = 0; 112 | if(_p->value == SC){//去掉这个子句（删除一行） 113 | _fpH->down = _pH->down; 114 | _p = _pH->right; 115 | while(_p){ 116 | _fp = _p; 117 | _p = _p->next; 118 | delete _fp; 119 | } 120 | L->num--; 121 | flag = 1; 122 | break;//跳过这一行 123 | } 124 | else if(_p->value == 0-SC){//去掉这个文字（删除一个点，需要考虑第一个节点的特殊情况） 125 | if(_pH->right == _p){ 126 | flag = 2;//第一个结点就出现目标数据，需要删除 127 | _pH->right = _p->next; 128 | _pH->num--; 129 | //cout << "第一个结点处地文字删除后num的值为：" << _pH->num << endl; 130 | } 131 | else{ 132 | flag = 3; 133 | _fp->next = _p->next; 134 | _pH->num--; 135 | } 136 | } 137 | if(!flag){//没有需要删除的节点 138 | if(_fp != _p) _fp = _p; 139 | _p = _p->next; 140 | } 141 | else if(flag == 2){//删除的结点为第一个节点的情况处理 142 | _p = _pH->right; 143 | _fp = _p; 144 | } 145 | else if(flag == 3){//删除的节点不是第一个，在中间 146 | delete _p; 147 | _p = _fp->next; 148 | } 149 | } 150 | if(!flag){ 151 | _fpH = _pH; 152 | _pH = _pH->down; 153 | } 154 | else if(flag == 1){ 155 | delete _pH; 156 | _pH = _fpH->down; 157 | } 158 | } 159 | } 160 | 161 | //L中存储的范式是否为空范式 162 | bool isemptyCnf(HeadNode* L){ 163 | if(L->num) return FALSE; 164 | else return TRUE; 165 | } 166 | 167 | //判断范式中是否有空子句 168 | bool isHaveEmptyClause(HeadNode* L){ 169 | HeadNode* _pH = L->down; 170 | while(_pH){ 171 | if(_pH->num == 0) return TRUE; 172 | _pH = _pH->down; 173 | } 174 | return FALSE; 175 | } 176 | 177 | //将v作为一个单子句合并到范式L中，将合并后的范式作为返回值 178 | HeadNode* merge(HeadNode* L, int v){ 179 | HeadNode* pH = new HeadNode; pH->num++; 180 | pH->down = L->down; 181 | L->down = pH; 182 | DataNode* p = new DataNode; p->value = v; 183 | pH->right = p; p->next = nullptr; 184 | L->num++; 185 | //cout << "merge完之后添加的v为：" << L->down->right->value << endl; 186 | return L; 187 | } 188 | 189 | //直接返回第一个文字即可 190 | int SelectWord(HeadNode* L){ 191 | HeadNode* _pH = L->down; 192 | int ans; 193 | while(_pH){ 194 | DataNode* _p = _pH->right; 195 | while(_p){ 196 | ans = _p->value; 197 | return ans; 198 | } 199 | _pH = _pH->down; 200 | } 201 | cout << "范式为空集，无法选择文字返回" << endl; 202 | return 0; 203 | } 204 | 205 | int SelectWord2(HeadNode* L){//最短子句优先 206 | HeadNode* _pH = L->down; 207 | int _min, ans = 0; 208 | if(!_pH){cout << "范式为空集，无法选择文字返回" << endl; return 0;} 209 | _min = _pH->num; ans = _pH->right->value; 210 | while(_pH){ 211 | if(_pH->num != 0 && _pH->num < _min) ans = _pH->right->value; 212 | _pH = _pH->down; 213 | } 214 | return ans; 215 | } 216 | 217 | //仅用于测试使用 218 | void printList(HeadNode* L){ 219 | HeadNode* _pH = L->down; 220 | int i = 1; 221 | while(_pH){ 222 | cout << "第" << i++ << "行：" << _pH->num; 223 | DataNode* _p = _pH->right; 224 | while(_p){ 225 | cout << "->" << _p->value; 226 | _p = _p->next; 227 | } 228 | cout << endl; 229 | _pH = _pH->down; 230 | } 231 | } 232 | 233 | //将L中全部内容都拷贝到temL中，函数结构与cnfparser函数基本相同 234 | HeadNode* CopyList(HeadNode* L){ 235 | HeadNode* temL = new HeadNode; 236 | temL->num = L->num; 237 | HeadNode* pH = L->down; 238 | HeadNode* _pH = new HeadNode; temL->down = _pH; _pH->down = nullptr; 239 | for(int i = 1; i <= L->num; i++){ 240 | _pH->num = pH->num; 241 | int tep = pH->right->value; 242 | DataNode* p = pH->right; 243 | DataNode* _p = new DataNode; 244 | _p->value = tep; _pH->right = _p; _p->next = nullptr; 245 | while(p->next){ 246 | p = p->next; tep = p->value; 247 | _p = new DataNode; 248 | _p->value = tep;//采用头插法建立链表 249 | _p->next = _pH->right; 250 | _pH->right = _p; 251 | } 252 | if(i != L->num){ 253 | _pH = new HeadNode; 254 | _pH->down = temL->down; 255 | temL->down = _pH; 256 | } 257 | pH = pH->down; 258 | } 259 | return temL; 260 | } 261 | 262 | 263 | void FreeList(HeadNode* L){ 264 | //释放掉L里面的所有内存空间 265 | HeadNode* _pH = L->down; 266 | while(_pH){ 267 | DataNode* _p = _pH->right; 268 | while(_p){ 269 | DataNode* _fp = _p; 270 | _p = _p->next; 271 | delete _fp; 272 | } 273 | HeadNode* _fpH = _pH; 274 | _pH = _pH->down; 275 | delete _fpH; 276 | } 277 | delete L; 278 | } -------------------------------------------------------------------------------- /Global.h: -------------------------------------------------------------------------------- 1 | //Global.cpp 2 | #ifndef Global_H 3 | #define Global_H 4 | #include 5 | #include 6 | #include 7 | #include 8 | #include 9 | #include 10 | #include 11 | #define TRUE 1 12 | #define FALSE 0 13 | #define NOMAL -1 14 | #define ROW 9 15 | #define COL 9 16 | #define NoAnwser -1 17 | typedef int status; 18 | using namespace std; 19 | 20 | static int TestNum = 0;//用于测试变量 21 | 22 | //每个结点的数据类型，value表示文字的内容，next指向同一个子句中的下一个文字 23 | typedef struct DataNode{ 24 | int value = 0; 25 | struct DataNode* next; 26 | }DataNode; 27 | 28 | typedef struct HeadNode{ 29 | int num = 0; 30 | struct HeadNode* down;//头结点向下 31 | struct DataNode* right;//同一个子句中结点向右指针 32 | }HeadNode; 33 | 34 | HeadNode* CnfParser(string& filename); 35 | void display(); 36 | bool DPLL(HeadNode* L, int* book);//核心算法部分 37 | bool NewDPLL(HeadNode* L, int* book); 38 | int SingleSpread(HeadNode* L, int* book); 39 | int isHaveSingleClause(HeadNode* L); 40 | void SimplifyCnf(HeadNode* L, int SC); 41 | bool isemptyCnf(HeadNode* L); 42 | bool isHaveEmptyClause(HeadNode* L); 43 | HeadNode* merge(HeadNode* L, int v); 44 | int SelectWord(HeadNode* L); 45 | int SelectWord2(HeadNode* L); 46 | void OutFileFun1(string _PATH, bool suc, int* book, int _Ctime, int FunNum, int cod); 47 | void printList(HeadNode* L); 48 | HeadNode* CopyList(HeadNode* L); 49 | void FreeList(HeadNode* L); 50 | 51 | int Digit(int a[][COL], int i, int j); 52 | void randomFirstRow(int a0[], int n); 53 | void createSudoku(int a[][COL]); 54 | void createStartinggrid(const int a[][COL], int b[][COL], int numDigits); 55 | void print(const int a[][COL]); 56 | string ToCnf(int a[][COL],int holes); 57 | string createSudokuToFile(int holes, int array[ROW][COL]); 58 | 59 | void CoreFun(HeadNode* L, string& filename, int FunNum, int cod, int array[ROW][COL]); 60 | bool isCorrect(string& filename); 61 | 62 | #endif -------------------------------------------------------------------------------- /OutFile.cpp: -------------------------------------------------------------------------------- 1 | //OutFile.cpp 2 | #include"Global.h" 3 | 4 | void OutFileFun1(string _PATH, bool suc, int* book, int _Ctime, int FunNum, int cod){ 5 | ofstream op(_PATH); 6 | if(!op){ 7 | cout << "OutFile can not open!" << endl; 8 | exit(0); 9 | } 10 | op << "s " << suc << endl;//结果 11 | if(suc){ 12 | op << "v"; 13 | for(int i = 1, k = 1; i <= FunNum; i++){ 14 | op << " " << book[i]*i; 15 | k++; 16 | if(k == 10) {op << endl; k = 1;} 17 | } 18 | op << endl; 19 | } 20 | if(cod == 1) op << "t " << _Ctime << "ms"; 21 | op.close(); 22 | 23 | //c语言版本的文件输出 24 | // char *_path = new char[_PATH.length()+1]; 25 | // strcpy(_path, _PATH.c_str()); 26 | // FILE *op = fopen(_path, "w"); 27 | // if(!op){ 28 | // printf("OutFile can not open!\n"); 29 | // exit(0); 30 | // } 31 | // fputc('c', op); 32 | // fprintf(op, " %d\n", suc); 33 | // if(suc){ 34 | // fputc('v', op); 35 | // for(int i = 1, k = 1; i <= FunNum; i++){ 36 | // fprintf(op, " %d\n", book[i]*i); 37 | // k++; 38 | // if(k == 10){ fprintf(op, "\n"); k =1;} 39 | // } 40 | // fprintf(op, "\n"); 41 | // } 42 | // fprintf(op, "t %d\nms", _Ctime); 43 | } -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # 2020级华中科技大学课程设计DPLL算法解决SAT问题 2 | 3 | ## 计算机学院2020级数据结构课程设计任务项目 4 | 5 | 分为一下几个部分，详细内容见word文档 6 | * 1.cnf解析 7 | 打开文件，逐行读入数据，将数据依次保存在链表中。 8 | CnfParser()函数返回值为存储完毕的数据结构的头指针L 9 | 10 | * 2.用户交互部分 11 | 用户进行选择1、2或者3，可以用if语句分部分进行处理。 12 | 13 | * 3.算法执行部分，核心算法DPLL算法的实现 14 | 分为优化前的和优化（非递归）后的不同算例 15 | 16 | * 4.数独部分 17 | 分为数独生成、随即挖洞、用户交互等部分 18 | 19 | * 5.将结果输出到输出文件，完成整个项目代码部分 20 | 21 | * 6.书写实验报告 22 | 23 | ## 预备知识了解 24 | ### 变元、文字、子句、CNF范式等概念 25 | * 变元：布尔变元，可以取真假值 26 | * 文字：布尔变元及其非称为文字 27 | * 子句：若干个文字的或运算被称为子句 28 | * CNF范式：若干个子句的合取被称为CNF范式，即合取范式 29 | ### DPLL算法 30 | 1）全称：Davis-Putnam-Logemann-Loveland 31 | 32 | 2）思想：基于树/二叉树的回溯搜索算法，主要基于两种策略。 33 | 34 | * 单子句规则：如果一个CNF范式中存在单子句L（含有一个文字的子句），取L为真值。通过L的值，遍历其他的子句： 35 | 36 | 如果某个子句中含有L，**则将这个子句从范式中去掉**（子句没了） 37 | 38 | 如果某个子句中含有-L（L的非），**则将-L从这个子句中去掉**（文字没了） 39 | 40 | 处理完之后，如果范式为空，则该范式为真；如果范式中含有空子句，则该范式为假。 41 | 42 | * 分裂策略：如果一个范式S中不存在单子句。则按照某种方式选取一个变元v，假设v为真值和假值，然后重复单子句规则。（算法的复杂度和是否高效取决于选择变元的策略） 43 | 44 | ```cpp 45 | //伪代码： 46 | bool DPLL(范式S){ 47 | while(S中有单子句L){ 48 | for(子句P in S){ 49 | if(P中有L) 去掉P; 50 | else if(P中有-L) 去掉-L; 51 | } 52 | for循环执行完毕之后，S化简为S1 53 | if(S1 为空) return TRUE; 54 | else if(S1 中含有空子句) return FLASE; 55 | } 56 | 按照某种策略选择变元v; 57 | if(DPLL(S∪v)) return TRUE; 58 | //递归回溯部分 59 | else return DPLL(S∪-v); 60 | } 61 | ``` 62 | 63 | 注意：既然是递归算法，自然要注意几个重要的点。其中有一个就是要记得你写的递归是否需要回溯。如果需要回溯，那些中间变量以及标记变量都需要及时回溯。（在传指针的时候尤其需要注意！！！） 64 | 65 | ## 算法设计实现 66 | ### 程序编译 67 | * 使用vsCode编译器作为代码的编译运行编辑器，然后在终端中用c++进行编译运行即可。 68 | 69 | ```cpp 70 | 命令部分： 71 | g++ main.cpp main.exe 72 | main.exe 73 | ``` 74 | 75 | * 编译多个文件时的命令为： 76 | 77 | ```cpp 78 | g++ CnfParser.cpp display.cpp DPLL.cpp OutFile.cpp SudokuSover.cpp isCorrect.cpp main.cpp -o main 79 | main.exe 80 | 81 | //打开范例文件名：7cnf20_90000_90000_7.shuffled-20.cnf 82 | Standard\functional_test\sat-20.cnf 83 | ``` 84 | 85 | 86 | ### 数据结构部分 87 | * 采用链表的形式存储。每个子句的第一个文字为链表的头节点，然后其他文字作为其他结点。 88 | * 循环读入数据建立链表时一定要注意：头结点中不含有value，只有子句中文字的个数num。不要在头结点中也加入value，这样会让自己不好写循环的最终结束判断条件。 89 | 90 | ```cpp 91 | //每个结点的数据类型，value表示文字的内容，next指向同一个子句中的下一个文字 92 | typedef struct DataNode{ 93 | int value = 0; 94 | struct DataNode* next; 95 | }DataNode; 96 | 97 | typedef struct HeadNode{ 98 | int num = 0; 99 | struct HeadNode* down;//头结点向下 100 | struct DataNode* right;//同一个子句中结点向右指针 101 | }HeadNode; 102 | 103 | ``` 104 | 105 | ### 具体实现细节 106 | * c++中的数组动态分配内存 107 | 108 | ```cpp 109 | //由于不允许使用vector，所以可以尝试使用new[]为数组动态分配内存 110 | int* a = new int[2000]; 111 | 112 | //用完之后也可以进行释放 113 | delete [] a; 114 | ``` 115 | 116 | * 为了实现动态分配book数组的内存，采用在CnfParser.cpp文件中定义全局变量FunNum。然后在mian.cpp文件中使用extern int FunNum进行引用，从而实现在main.cpp中进行动态分配内存。 117 | 118 | ### 保存结果进行输出部分 119 | 目的：掌握ofstream中的常用方法，并能够熟练使用。 120 | 121 | 常用方法： 122 | 123 | ```cpp 124 | ofstream op("Text.txt"); 125 | //或者采用open方法打开文件 126 | ofstream op.open("Text.txt"); 127 | if(!op){cout << "文件无法打开" << endl;} 128 | 129 | //常用输出方法 130 | char ch = 'a'; 131 | op << ch; 132 | op.put(ch);//与上面那个作用相同 133 | ``` 134 | 135 | ### DPLL算法的优化策略 136 | #### 时间复杂度优化 137 | 1）最短子句优先原则 138 | 139 | 从子句中选择最短的子句，选择最短子句中的文字进行赋值处理。以便更快得到单子句，从而快速进入单子句扩散策略。简化算法时间复杂度。 140 | 141 | 2）递归改为非递归 142 | 143 | #### 空间复杂度优化策略 144 | 由于算法还未改成非递归，目前还是应用的递归算法。但是由于递归算法会额外生成很多空间用于递归函数的准备以及递归状态的保存，当输入规模比较大的时候，容易产生内存爆炸问题。 145 | 146 | 对于递归函数运行前的准备过程，除非改为非递归，用同一片地址运行函数。否则无法优化。 147 | 148 | 但是对于为了保存递归状态的变量来说，是可以即时释放内存的。例如第 i 层的函数保存了temL，用于记录状态。当函数从第 i+k 层（k未知）退回到第 i 层时，可以在退回到第 i-1 层之前即时将temL给释放掉，如此便能省下很多内存空间。代码如下 149 | 150 | ```cpp 151 | bool DPLL(HeadNode* L, int* book){ 152 | int SC;//存储单子句(SingleClause的缩写) 153 | //cout << ++TestNum << endl; 154 | //printList(L); 155 | while(SC = isHaveSingleClause(L)){ 156 | //cout << "2-" << TestNum << " 本次循环要删除的为:" << SC << endl; 157 | if(SC > 0) book[SC] = 1; 158 | else if(SC < 0) book[0-SC] = -1;//例如：book[-(-2)] = -1表示2代表的变元取负值，即-2 159 | SimplifyCnf(L, SC);//根据单子句传播策略简化单子句 160 | //printList(L); 161 | if(isemptyCnf(L)) return TRUE; 162 | else if(isHaveEmptyClause(L)) return FALSE; 163 | } 164 | //int v = SelectWord(L); 165 | int v = SelectWord2(L);//采用最短子句优先选取规则进行选取变元 166 | //cout << "这次选取的变元为：" << v << endl; 167 | HeadNode* temL = CopyList(L); 168 | if(DPLL(merge(L, v), book)) return TRUE; 169 | bool result = DPLL(merge(temL, 0-v), book); 170 | //删除temL的内容空间 171 | FreeList(temL); 172 | return result; 173 | } 174 | ``` 175 | -------------------------------------------------------------------------------- /SudokuSover.cpp: -------------------------------------------------------------------------------- 1 | //SudokuSover.cpp 2 | #include "Global.h" 3 | 4 | #define CORRECT 0 5 | #define WRONG -1 6 | static int T = 0; 7 | 8 | //根据holes来挖洞 9 | //此函数输出数独初盘，同时返回解析后的.cnf文件 10 | string createSudokuToFile(int holes, int array[ROW][COL]) { 11 | int sudoku[ROW][COL]={0}; 12 | int starting_grid[ROW][COL]={0}; 13 | createSudoku(sudoku);//生成数独终盘 14 | createStartinggrid(sudoku,starting_grid,holes);//生成初盘 15 | memcpy(array, starting_grid, ROW*COL*sizeof(int)); 16 | cout << "初始化后数独初盘为：" << endl; 17 | print(starting_grid);//输出初盘 18 | //转化为cnf文件 19 | string filename = ToCnf(starting_grid,holes); 20 | return filename; 21 | } 22 | 23 | int Digit(int a[][COL], int i, int j) {//递归填充数独元素 24 | if (i < ROW && j < COL) { 25 | int x,y,k; 26 | int check[COL+1]={CORRECT};//用于排除已经使用过的的数字 27 | for(x = 0 ; x < i ; x++) 28 | check[a[x][j]] = WRONG;//列已使用的数字置为WRONG 29 | for(x = 0 ; x < j ; x++) 30 | check[a[i][x]] = WRONG;//行使用过的数字置为WRONG 31 | for(x = i/3*3 ; x <= i; x++) { 32 | if(x == i) 33 | for(y = j/3*3 ; y < j; y++) 34 | check[a[x][y]] = WRONG; 35 | else 36 | for(y = j/3*3 ; y < j/3*3 + 3; y++) 37 | check[a[x][y]] = WRONG; 38 | } 39 | 40 | int flag = 0; 41 | for(k = 1; k <= COL && flag == 0 ; k++){//从check数组中查找安全的数字 42 | if(check[k] == CORRECT){ 43 | flag = 1; 44 | a[i][j] = k; 45 | if(j == COL-1 && i != ROW-1){ 46 | if(Digit(a,i+1,0) == CORRECT) return CORRECT; 47 | else flag = 0; 48 | } 49 | else if(j != COL-1){ 50 | if(Digit(a,i,j+1) == CORRECT) return CORRECT; 51 | else flag = 0; 52 | } 53 | } 54 | } 55 | if( flag == 0 ) { 56 | a[i][j] = 0; 57 | return WRONG; 58 | } 59 | } 60 | return CORRECT; 61 | } 62 | 63 | void randomFirstRow(int a0[], int n) {//随机生成第一行 64 | int i,j; 65 | srand((unsigned)time(nullptr)); 66 | for( i = 0 ; i < n ; i++){ 67 | a0[i] = rand()%9 + 1; 68 | j = 0 ; 69 | while(j < i){ 70 | if(a0[i] == a0[j]){ 71 | a0[i] = rand()%9 + 1; 72 | j = 0; 73 | } 74 | else j++; 75 | } 76 | } 77 | } 78 | 79 | void createSudoku(int a[][COL]){ //生成数独 80 | randomFirstRow(a[0],COL);//随机生成第一行 81 | Digit(a,1,0);//递归生成后i行 82 | } 83 | 84 | void createStartinggrid(const int a[][COL], int b[][COL], int numDigits) {//随机生成初盘 85 | int i,j,k; 86 | srand((unsigned)time(nullptr)); 87 | for( i = 0; i < ROW ; i ++) 88 | for( j = 0; j < COL ; j++) 89 | b[i][j] = a[i][j]; 90 | 91 | //int c[numDigits][2];//此处可以采用c++中的new动态为二维数组分配内存 92 | int** c = new int* [numDigits]; 93 | for(int i = 0; i < numDigits; i++){ 94 | c[i] = new int [2]; 95 | } 96 | int m,flag = 0; 97 | 98 | for( i = 0; i < numDigits ; i++) { 99 | j = rand()%9; 100 | k = rand()%9; 101 | 102 | flag = 0; 103 | for(m = 0; m < i ; m++) 104 | if( j == c[m][0] && k == c[m][1]) 105 | flag = 1; 106 | 107 | if(flag == 0){ 108 | b[j][k] = 0; 109 | c[i][0] = j; 110 | c[i][1] = k; 111 | } 112 | else 113 | i--; 114 | } 115 | } 116 | 117 | void print(const int a[][COL]){//打印数独数组 118 | int i,j; 119 | for( i = 0 ; i < ROW ; i++){ 120 | for( j = 0 ; j < COL ; j++) 121 | printf("%d ", a[i][j]); 122 | cout<1000? FunNum: 1000; 11 | int *book = new int[_FunNum]; 12 | memset(book, 0, sizeof(int)*_FunNum); 13 | 14 | int isTrue = NewDPLL(L, book); 15 | if(!isTrue){cout << ".cnf文件不可满足"; exit(0);} 16 | else{ 17 | if(verification(ordL, book)) return TRUE; 18 | else return FALSE; 19 | } 20 | } 21 | /* 22 | 解析文件，生成链表L，同时拷贝一份不会改变的ordL;（不会改变的L） 23 | 执行DPLL算法，生成.res文件 24 | 如果DPLL算法返回为假，直接退出就行，为真进行下一步 25 | 直接遍历ordL结构，访问book对应的文字的值 26 | 如果有一个子句的所有的文字都不会满足，那么该解就是有问题 27 | */ 28 | bool verification(HeadNode* ordL, int* book){ 29 | HeadNode* _pH = ordL->down; 30 | while(_pH){ 31 | DataNode* _p = _pH->right; 32 | while(_p){ 33 | if(book[abs(_p->value)]*_p->value > 0) break; 34 | _p = _p->next; 35 | } 36 | if(!_p) return FALSE; 37 | _pH = _pH->down; 38 | } 39 | return TRUE; 40 | } -------------------------------------------------------------------------------- /main.cpp: -------------------------------------------------------------------------------- 1 | #include "Global.h" 2 | extern int FunNum; 3 | int zeroNum; 4 | int isBetter; 5 | int main() { 6 | display(); 7 | int cod = 0; 8 | string filename; 9 | cin >> cod; 10 | while (cod){ 11 | if(cod == 1){//cnf解析求解 12 | cout << "请输入需要解析的.cnf文件。（例如：.\\src\\Sat\\S\\problem1-20.cnf）" <> filename; 14 | cout << "请选择是否使用优化的算法" << endl; 15 | cout << "0--未优化" << endl; cout << "1--优化" << endl; 16 | cin >> isBetter; 17 | HeadNode* L = CnfParser(filename); 18 | int temp[9][9]; 19 | CoreFun(L, filename, FunNum, cod, temp); 20 | } 21 | else if(cod == 2){//数独问题求解 22 | cout << "请输入数独初盘中设定数字的个数：（不少于17，不大于81）" << endl; 23 | int preNum; cin >> preNum; zeroNum = 81-preNum; 24 | int array[ROW][COL] = {0}; 25 | filename = createSudokuToFile(zeroNum, array); 26 | HeadNode* L = CnfParser(filename); 27 | //printList(L); 28 | CoreFun(L, filename, 1000, cod, array); 29 | /* 30 | 设计用户交互的部分 31 | 请求用户输入填一个空，并指明填写的数字格式以及对应意义 32 | 读入的数字为零，直接退出程序 33 | 将用户输入的数字与book中的数进行比对，查看是否正确 34 | 如果不正确的话，显示错误重新输入 35 | 正确的话，就读入数字，然后把用户输入的地方的那个数字修改之后把数独表打印出来显示给用户 36 | 如果数独中空元的个数为零，通知用户成功过关，并询问是否可以再次重新开始游戏 37 | */ 38 | } 39 | else if(cod == 3){ 40 | cout << "请输入待检验的文件名（例如：.\\src\\Sat\\S\\problem1-20.cnf）" << endl; 41 | cin >> filename; 42 | if(isCorrect(filename)) {cout << "输出的结果没问题" << endl;} 43 | else {cout << "输出的结果不对" << endl;} 44 | } 45 | display(); 46 | TestNum = 0; 47 | cin >> cod; 48 | } 49 | } 50 | 51 | void CoreFun(HeadNode* L, string& filename, int FunNum, int cod, int array[ROW][COL]){ 52 | 53 | //文件输出准备部分 54 | string _PATH = filename.replace(filename.end()-4, filename.end(), ".res"); 55 | bool suc; 56 | int *book = new int[FunNum]; 57 | memset(book, 0, sizeof(int)*FunNum); 58 | int begin = 0, end = 0; 59 | 60 | //DPLL()核心处理部分 61 | begin = clock(); 62 | bool isTrue; 63 | if(!isBetter) {isTrue = DPLL(L, book);} 64 | else {isTrue = NewDPLL(L, book);} 65 | if(isTrue) {suc = TRUE;} 66 | else {suc = FALSE;} 67 | if(cod == 1){ 68 | if(isTrue) {cout << "为真" << endl;} 69 | else {cout << "为假" << endl;} 70 | end = clock(); 71 | 72 | cout << "DPLL()部分运行的时间为" << end-begin << "ms" << endl; 73 | } 74 | else{ 75 | end = clock(); 76 | cout << "DPLL()部分运行的时间为" << end-begin << "ms" << endl; 77 | cout << "数独游戏开始，您可以随时输入0以终止游戏" << endl; 78 | while(zeroNum){//如果还有空元 79 | cout << "请输入您填入的下一个数字，111表示在第一行第一列填入数字1" << endl; 80 | int opeNum; cin >> opeNum; 81 | int x = opeNum/100 - 1; int y = (opeNum/10)%10 - 1; 82 | if(!opeNum){exit(0);} 83 | if(book[opeNum] > 0 && array[x][y] == 0){ 84 | array[x][y] = (opeNum%100)%10; 85 | zeroNum--; 86 | print(array); 87 | cout << "填入成功，请填写下一个" << endl; 88 | } 89 | else{ 90 | cout << "输入的数字不正确！" << endl; 91 | continue; 92 | } 93 | } 94 | cout << "游戏结束，恭喜您成功过关！" << endl; 95 | } 96 | //输出.res文件 97 | OutFileFun1(_PATH, suc, book, end-begin, FunNum, cod); 98 | } -------------------------------------------------------------------------------- /src/No_sat/php-010-008.shuffled-as.sat05-1171.cnf: -------------------------------------------------------------------------------- 1 | p cnf 80 370 2 | -25 30 0 3 | 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/src/Others/problem1.cnf: -------------------------------------------------------------------------------- 1 | c This Formula is generated by mcnf 2 | c 3 | c horn? no 4 | c forced? no 5 | c mixed sat? no 6 | c clause length = 3 7 | c 8 | p cnf 20 91 9 | 4 -18 19 0 10 | 3 18 -5 0 11 | -5 -8 -15 0 12 | -20 7 -16 0 13 | 10 -13 -7 0 14 | -12 -9 17 0 15 | 17 19 5 0 16 | -16 9 15 0 17 | 11 -5 -14 0 18 | 18 -10 13 0 19 | -3 11 12 0 20 | -6 -17 -8 0 21 | -18 14 1 0 22 | -19 -15 10 0 23 | 12 18 -19 0 24 | -8 4 7 0 25 | -8 -9 4 0 26 | 7 17 -15 0 27 | 12 -7 -14 0 28 | -10 -11 8 0 29 | 2 -15 -11 0 30 | 9 6 1 0 31 | -11 20 -17 0 32 | 9 -15 13 0 33 | 12 -7 -17 0 34 | -18 -2 20 0 35 | 20 12 4 0 36 | 19 11 14 0 37 | -16 18 -4 0 38 | -1 -17 -19 0 39 | -13 15 10 0 40 | -12 -14 -13 0 41 | 12 -14 -7 0 42 | -7 16 10 0 43 | 6 10 7 0 44 | 20 14 -16 0 45 | -19 17 11 0 46 | -7 1 -20 0 47 | -5 12 15 0 48 | -4 -9 -13 0 49 | 12 -11 -7 0 50 | -5 19 -8 0 51 | 1 16 17 0 52 | 20 -14 -15 0 53 | 13 -4 10 0 54 | 14 7 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format. 3 | c 4 | p cnf 100 403 5 | -9 40 -68 0 6 | 11 14 -82 0 7 | -55 -56 -80 0 8 | -2 73 89 0 9 | 26 38 -54 0 10 | 51 63 84 0 11 | -32 37 97 0 12 | 30 43 -52 0 13 | -8 -9 81 0 14 | 10 18 -53 0 15 | -8 12 27 0 16 | -22 -28 -95 0 17 | -22 44 -72 0 18 | -47 -67 89 0 19 | 6 91 96 0 20 | 10 -26 -67 0 21 | 34 68 78 0 22 | 24 27 -42 0 23 | 26 -27 -99 0 24 | 21 -29 -93 0 25 | -4 43 -57 0 26 | 33 74 78 0 27 | 40 -56 58 0 28 | -13 15 82 0 29 | -3 30 -34 0 30 | -2 8 -57 0 31 | 7 21 90 0 32 | -14 -33 -66 0 33 | 41 -73 97 0 34 | -25 -47 57 0 35 | 34 81 -86 0 36 | 8 78 81 0 37 | -39 -47 -64 0 38 | 63 84 88 0 39 | 11 36 70 0 40 | 11 43 -57 0 41 | -31 -71 77 0 42 | -29 71 84 0 43 | 24 30 69 0 44 | 8 17 -80 0 45 | -14 60 73 0 46 | 32 -66 93 0 47 | -53 -70 -81 0 48 | -19 24 100 0 49 | -17 94 95 0 50 | -35 36 -61 0 51 | 33 -37 -99 0 52 | -8 28 50 0 53 | -49 -54 78 0 54 | 8 -63 81 0 55 | 18 -66 -74 0 56 | -11 -50 -98 0 57 | -1 -17 58 0 58 | 2 -46 63 0 59 | -6 -63 -90 0 60 | -41 69 -94 0 61 | -5 -9 -94 0 62 | 2 69 -88 0 63 | -4 68 -76 0 64 | 8 26 90 0 65 | 10 25 -94 0 66 | -52 65 -86 0 67 | 4 -49 -64 0 68 | 51 53 96 0 69 | -9 -50 60 0 70 | -29 50 -100 0 71 | 58 -67 89 0 72 | -47 -56 98 0 73 | 14 34 -42 0 74 | -13 21 27 0 75 | -15 -69 -97 0 76 | 16 -86 99 0 77 | 52 69 97 0 78 | 8 -16 -32 0 79 | 46 -75 -98 0 80 | 23 82 -92 0 81 | -2 -39 -64 0 82 | 15 28 82 0 83 | 21 -54 -74 0 84 | 28 -48 79 0 85 | 7 43 60 0 86 | 15 55 -70 0 87 | 7 -45 48 0 88 | 26 -59 -71 0 89 | -1 -32 52 0 90 | -38 -58 69 0 91 | 4 71 -95 0 92 | 12 16 71 0 93 | -12 -47 91 0 94 | 73 75 -82 0 95 | -4 -7 20 0 96 | 4 90 96 0 97 | 8 43 88 0 98 | -27 -37 69 0 99 | -17 -51 -99 0 100 | -41 -77 -90 0 101 | -41 -82 -84 0 102 | -33 -55 -71 0 103 | -2 -9 -25 0 104 | -4 -9 80 0 105 | 16 -40 80 0 106 | -64 95 98 0 107 | 15 31 -50 0 108 | 13 24 -90 0 109 | 41 44 76 0 110 | -15 -73 -83 0 111 | -11 37 -88 0 112 | 19 -85 -97 0 113 | 10 44 82 0 114 | -13 -24 -68 0 115 | -1 75 76 0 116 | 74 -88 -98 0 117 | -11 26 -91 0 118 | 15 25 70 0 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| -19 23 53 0 174 | 48 60 -84 0 175 | -14 -68 -87 0 176 | -1 -12 -48 0 177 | 26 -39 -62 0 178 | 87 -92 99 0 179 | -30 62 -89 0 180 | -9 20 90 0 181 | -4 36 -39 0 182 | -39 54 76 0 183 | -23 -30 -66 0 184 | -34 -53 99 0 185 | 32 -75 82 0 186 | -16 45 89 0 187 | -33 -73 79 0 188 | -10 23 -100 0 189 | -17 -69 -90 0 190 | 35 -86 -96 0 191 | -13 -32 54 0 192 | -20 -67 92 0 193 | 11 83 98 0 194 | -42 -47 82 0 195 | 17 -18 -84 0 196 | 20 55 -92 0 197 | -13 19 27 0 198 | 13 81 -82 0 199 | -14 42 -100 0 200 | 21 70 -92 0 201 | -34 -42 -69 0 202 | 11 65 -84 0 203 | -13 19 63 0 204 | 22 -78 -86 0 205 | 37 -41 -98 0 206 | 45 -68 -84 0 207 | 28 37 -52 0 208 | 34 73 91 0 209 | -13 -54 -68 0 210 | -43 86 -100 0 211 | -42 -55 94 0 212 | 15 -71 -92 0 213 | -11 66 88 0 214 | 31 52 -65 0 215 | -7 38 -66 0 216 | 39 53 -89 0 217 | -54 67 -84 0 218 | 39 72 92 0 219 | 26 88 -89 0 220 | 21 24 98 0 221 | -12 26 55 0 222 | 15 24 57 0 223 | 9 75 -94 0 224 | -3 -44 87 0 225 | -21 -25 -71 0 226 | -22 40 -75 0 227 | 23 28 69 0 228 | -1 61 -69 0 229 | 9 25 35 0 230 | -39 -66 87 0 231 | 48 -89 -98 0 232 | -12 22 -38 0 233 | 6 -57 -67 0 234 | -13 -21 46 0 235 | 18 24 27 0 236 | 2 85 94 0 237 | -34 -57 -72 0 238 | -26 27 -47 0 239 | -4 41 -49 0 240 | -16 52 -99 0 241 | -23 89 -95 0 242 | 35 -44 -69 0 243 | -12 28 -74 0 244 | 1 17 -60 0 245 | -23 -26 -81 0 246 | 54 -81 96 0 247 | 27 57 69 0 248 | -5 -41 -83 0 249 | -22 23 -66 0 250 | 67 72 86 0 251 | -7 71 83 0 252 | -56 -62 69 0 253 | -44 68 -81 0 254 | -37 60 -78 0 255 | -2 84 -88 0 256 | 14 28 53 0 257 | 4 31 -100 0 258 | 12 33 -63 0 259 | 28 52 -68 0 260 | -13 -14 25 0 261 | 21 43 44 0 262 | -9 -50 -72 0 263 | -1 -11 25 0 264 | 21 57 92 0 265 | 5 -36 48 0 266 | -21 -26 -36 0 267 | 44 51 64 0 268 | 7 14 -95 0 269 | -25 -71 -87 0 270 | -8 13 -57 0 271 | -10 -49 -84 0 272 | 11 86 -93 0 273 | 66 -75 78 0 274 | 31 -47 49 0 275 | -36 -41 -55 0 276 | 4 -35 -41 0 277 | 1 10 14 0 278 | 32 47 -65 0 279 | 8 -15 94 0 280 | 32 34 -99 0 281 | -36 -49 87 0 282 | -20 30 -85 0 283 | -53 -81 -98 0 284 | -20 -53 69 0 285 | 22 23 -53 0 286 | 23 78 -88 0 287 | 13 63 -77 0 288 | -69 72 -95 0 289 | 2 -27 54 0 290 | -53 59 89 0 291 | -87 92 95 0 292 | -77 92 -98 0 293 | -75 85 -90 0 294 | -1 36 72 0 295 | -15 -45 78 0 296 | 5 21 100 0 297 | 5 35 41 0 298 | -20 -23 96 0 299 | 30 76 -88 0 300 | 41 82 97 0 301 | 6 -37 -44 0 302 | -23 -32 88 0 303 | -16 34 88 0 304 | -3 60 96 0 305 | -45 64 73 0 306 | 5 -75 80 0 307 | -17 75 90 0 308 | 15 42 71 0 309 | 24 -36 -38 0 310 | 1 -5 -38 0 311 | -11 14 -63 0 312 | -48 84 87 0 313 | 31 -72 -78 0 314 | -29 35 45 0 315 | -10 -67 -71 0 316 | 18 31 -54 0 317 | 5 17 59 0 318 | 22 42 -95 0 319 | -16 17 90 0 320 | -5 23 -43 0 321 | 46 73 -88 0 322 | -22 -59 96 0 323 | -24 -27 81 0 324 | 47 73 87 0 325 | 14 27 35 0 326 | -12 -48 82 0 327 | 39 43 48 0 328 | -17 -18 99 0 329 | -22 -35 -80 0 330 | 51 57 -92 0 331 | 8 -39 59 0 332 | -6 -18 -21 0 333 | -29 -45 -65 0 334 | -4 16 -33 0 335 | 37 -64 70 0 336 | -6 96 98 0 337 | 21 34 -78 0 338 | -2 -15 -53 0 339 | 62 -84 97 0 340 | 76 -84 88 0 341 | 21 -85 -88 0 342 | -3 -48 88 0 343 | 24 -33 -35 0 344 | 6 -47 95 0 345 | 1 8 -24 0 346 | 31 48 95 0 347 | -12 -52 55 0 348 | -89 -95 100 0 349 | -23 81 96 0 350 | 52 -86 -95 0 351 | -22 50 -84 0 352 | 10 26 61 0 353 | -3 -6 -16 0 354 | -5 -7 32 0 355 | -83 85 100 0 356 | 26 42 -55 0 357 | 41 -73 99 0 358 | -12 27 -99 0 359 | 1 -40 74 0 360 | -24 31 -76 0 361 | 2 15 -47 0 362 | -46 -64 99 0 363 | -19 -62 -93 0 364 | 15 41 -72 0 365 | -14 39 -68 0 366 | -37 39 45 0 367 | 2 61 -92 0 368 | 42 56 -67 0 369 | -81 86 -96 0 370 | 7 -66 -98 0 371 | -23 67 -82 0 372 | 9 29 -58 0 373 | 44 -45 -50 0 374 | 49 -67 69 0 375 | -2 36 71 0 376 | 46 53 77 0 377 | -2 28 33 0 378 | -16 -51 -100 0 379 | -3 50 56 0 380 | 31 -35 -87 0 381 | -13 55 -58 0 382 | -13 -43 80 0 383 | -27 -49 72 0 384 | 29 34 -79 0 385 | -40 -49 84 0 386 | -43 -72 88 0 387 | -49 65 -92 0 388 | -35 64 71 0 389 | -21 -28 96 0 390 | -13 45 98 0 391 | -15 28 -78 0 392 | -6 26 90 0 393 | -39 -80 -84 0 394 | -44 -46 66 0 395 | 44 54 60 0 396 | -23 91 -100 0 397 | -59 -66 85 0 398 | 20 28 -99 0 399 | 59 -77 -82 0 400 | 49 54 -60 0 401 | -12 63 68 0 402 | -8 50 90 0 403 | -30 -45 53 0 404 | -56 71 -97 0 405 | -7 -20 52 0 406 | -2 33 87 0 407 | 49 56 -74 0 408 | -------------------------------------------------------------------------------- /src/Others/tst/CBS_k3_n100_m403_b10_999.cnf: -------------------------------------------------------------------------------- 1 | c 2 | c SAT instance in DIMACS CNF input format. 3 | c 4 | p cnf 100 403 5 | 72 -83 84 0 6 | 57 -62 -68 0 7 | 9 -11 -51 0 8 | -13 28 97 0 9 | -3 -17 59 0 10 | -20 -57 66 0 11 | 8 -22 41 0 12 | -28 61 98 0 13 | -15 -21 -89 0 14 | -23 70 -77 0 15 | -19 -42 -80 0 16 | 1 -8 -89 0 17 | 2 22 29 0 18 | -26 -56 -60 0 19 | -22 25 -34 0 20 | 17 86 -90 0 21 | -23 -32 45 0 22 | -18 -19 95 0 23 | 35 53 -69 0 24 | -36 -70 97 0 25 | 12 84 94 0 26 | -31 -37 83 0 27 | -5 -56 -89 0 28 | -10 35 -37 0 29 | 36 41 -60 0 30 | -2 20 -68 0 31 | 6 32 53 0 32 | 34 -36 -62 0 33 | 48 -50 -58 0 34 | 15 -16 -54 0 35 | -15 77 -85 0 36 | 25 28 -69 0 37 | -12 -37 -39 0 38 | 44 69 -97 0 39 | 20 46 -78 0 40 | 22 47 -73 0 41 | -17 -27 65 0 42 | 68 -71 -72 0 43 | -12 -34 -47 0 44 | 13 -93 -94 0 45 | -54 -57 -71 0 46 | -51 -55 -63 0 47 | 8 -57 82 0 48 | -16 52 -87 0 49 | 17 44 -90 0 50 | 49 55 -65 0 51 | -21 57 -96 0 52 | -15 55 95 0 53 | -30 -40 87 0 54 | -20 -26 -60 0 55 | -15 43 -97 0 56 | -44 67 -91 0 57 | 6 -21 30 0 58 | 28 -68 69 0 59 | -6 -17 -53 0 60 | -64 87 89 0 61 | -17 -78 90 0 62 | 10 -24 -64 0 63 | 10 -13 88 0 64 | 11 31 -53 0 65 | 23 -38 70 0 66 | -14 -19 63 0 67 | 28 -47 -65 0 68 | 1 18 -64 0 69 | 12 -27 -67 0 70 | 12 -51 81 0 71 | 1 -13 -88 0 72 | -18 52 -90 0 73 | -27 36 -48 0 74 | -15 33 64 0 75 | 56 78 -83 0 76 | 13 -69 -93 0 77 | 5 69 92 0 78 | 5 -11 85 0 79 | 12 58 70 0 80 | -36 45 76 0 81 | -67 -95 99 0 82 | 15 -31 -33 0 83 | 18 99 -100 0 84 | 18 72 -97 0 85 | -33 -62 87 0 86 | -16 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56 0 197 | 42 -73 94 0 198 | -8 38 77 0 199 | 30 31 56 0 200 | -14 -32 -50 0 201 | -48 -54 93 0 202 | -27 45 72 0 203 | -9 65 -68 0 204 | 31 35 -53 0 205 | -77 84 -99 0 206 | 26 -43 -61 0 207 | 61 -68 84 0 208 | -7 -21 -35 0 209 | 66 -87 -89 0 210 | 18 33 -73 0 211 | -11 -65 68 0 212 | 33 64 68 0 213 | 44 -58 67 0 214 | -7 -20 91 0 215 | -22 -46 61 0 216 | -28 -31 -54 0 217 | -7 -68 -75 0 218 | 31 -57 68 0 219 | 8 -30 87 0 220 | -8 52 -84 0 221 | -15 -63 84 0 222 | -25 -37 92 0 223 | -52 61 82 0 224 | -39 83 98 0 225 | 3 -5 42 0 226 | 16 21 -60 0 227 | 36 -54 69 0 228 | -19 22 -72 0 229 | 19 -36 -74 0 230 | 19 34 72 0 231 | -41 44 58 0 232 | 30 45 85 0 233 | -60 63 -73 0 234 | -11 -40 -76 0 235 | -3 16 -41 0 236 | -50 -55 -80 0 237 | 28 36 -89 0 238 | 16 -47 -91 0 239 | 13 -40 49 0 240 | 30 -50 -95 0 241 | -7 -10 -13 0 242 | -43 -50 -92 0 243 | 15 27 39 0 244 | 2 49 77 0 245 | 42 -63 -70 0 246 | -46 -68 -75 0 247 | -59 -69 88 0 248 | -18 59 88 0 249 | -33 41 -88 0 250 | -20 58 71 0 251 | 38 -40 -50 0 252 | -18 71 -99 0 253 | 29 45 84 0 254 | 30 44 -72 0 255 | 11 69 -78 0 256 | 50 -76 -81 0 257 | -59 -70 -94 0 258 | -38 -71 -89 0 259 | 5 -44 76 0 260 | -9 -30 -46 0 261 | 49 77 82 0 262 | -9 46 -66 0 263 | 20 -61 91 0 264 | 36 50 71 0 265 | 41 -56 -77 0 266 | -14 63 67 0 267 | 59 81 94 0 268 | -49 50 -63 0 269 | -50 55 -92 0 270 | -13 -70 -93 0 271 | -25 -48 -67 0 272 | 6 13 -15 0 273 | 37 -52 -74 0 274 | 1 58 -93 0 275 | -8 53 56 0 276 | 9 -75 -92 0 277 | 7 -16 -24 0 278 | -35 -37 -87 0 279 | -58 60 70 0 280 | 11 -29 79 0 281 | 4 -21 -69 0 282 | -66 -71 98 0 283 | -11 -12 36 0 284 | -18 -55 62 0 285 | 7 47 -87 0 286 | 3 41 94 0 287 | -6 -27 36 0 288 | 51 76 82 0 289 | 4 -18 31 0 290 | -6 -9 -84 0 291 | 19 32 86 0 292 | -2 4 98 0 293 | -85 -91 96 0 294 | -49 -70 90 0 295 | 9 35 59 0 296 | 48 -62 -72 0 297 | -14 -65 85 0 298 | 4 -91 -99 0 299 | 59 -71 97 0 300 | -59 -69 92 0 301 | 66 -77 -86 0 302 | -16 -50 -63 0 303 | 8 -41 -43 0 304 | 41 -55 -96 0 305 | 27 35 -74 0 306 | -11 77 100 0 307 | -8 -14 73 0 308 | -16 33 -76 0 309 | -4 56 -95 0 310 | -11 14 -100 0 311 | 12 60 -75 0 312 | 33 -84 -92 0 313 | 56 81 86 0 314 | 17 -79 92 0 315 | 5 12 20 0 316 | -12 30 -54 0 317 | 3 -7 -35 0 318 | 3 52 76 0 319 | -43 76 -96 0 320 | -23 -75 -94 0 321 | -3 -13 34 0 322 | 2 -46 99 0 323 | -61 -70 76 0 324 | 17 -26 80 0 325 | -22 53 81 0 326 | -56 71 72 0 327 | 37 71 -93 0 328 | -19 -55 -90 0 329 | 18 -36 -73 0 330 | 27 -41 59 0 331 | 17 -21 -74 0 332 | -6 -43 76 0 333 | -35 -38 -57 0 334 | 40 -93 98 0 335 | 12 44 -55 0 336 | -7 48 -68 0 337 | -26 -67 80 0 338 | 16 23 -61 0 339 | 46 73 89 0 340 | 12 -45 91 0 341 | -7 -49 -86 0 342 | 41 -76 93 0 343 | -8 -75 89 0 344 | -32 47 100 0 345 | -57 65 -90 0 346 | 37 66 -76 0 347 | 22 -36 79 0 348 | 37 -66 -84 0 349 | 44 -55 90 0 350 | -7 -47 48 0 351 | -4 34 40 0 352 | -12 -61 68 0 353 | -5 49 -72 0 354 | -27 42 98 0 355 | 14 35 -72 0 356 | -62 88 98 0 357 | -19 -20 41 0 358 | 45 -87 -89 0 359 | 62 -77 -89 0 360 | -23 40 -47 0 361 | -16 -48 75 0 362 | 12 -66 -100 0 363 | 36 -44 -93 0 364 | 19 36 47 0 365 | 3 14 -48 0 366 | 23 -61 -83 0 367 | -72 -76 91 0 368 | -1 -86 -93 0 369 | 19 -24 92 0 370 | -4 -23 -54 0 371 | 8 30 45 0 372 | -21 -60 74 0 373 | -42 44 53 0 374 | 24 47 64 0 375 | -22 37 -43 0 376 | -30 45 83 0 377 | 57 60 86 0 378 | -48 74 -81 0 379 | 44 -63 -70 0 380 | -36 -49 -56 0 381 | -38 -73 -94 0 382 | 7 57 -97 0 383 | 22 -62 -87 0 384 | -7 42 -46 0 385 | 7 54 -79 0 386 | 36 -59 81 0 387 | 68 89 91 0 388 | 12 -73 91 0 389 | -14 -18 84 0 390 | 64 72 -86 0 391 | -33 67 -73 0 392 | 10 -69 -88 0 393 | -21 -58 -86 0 394 | -2 31 74 0 395 | 3 60 64 0 396 | -4 -47 -86 0 397 | 69 -73 93 0 398 | 23 -45 -90 0 399 | 33 -48 95 0 400 | -39 71 -77 0 401 | 20 -58 -79 0 402 | -3 -52 -92 0 403 | -7 38 93 0 404 | -17 21 26 0 405 | -3 79 -87 0 406 | 8 -9 54 0 407 | -48 61 -97 0 408 | -------------------------------------------------------------------------------- /src/Others/tst/anomaly.cnf: -------------------------------------------------------------------------------- 1 | c satplan version 1.0 2 | c created: Thu Jul 24 14:13:58 PDT 1997 3 | c operators: bw_orig.ops 4 | c facts: anomaly.facts 5 | c goal: 3 6 | c wff: anomaly.cnf 7 | c map: anomaly.map 8 | c type: wff 9 | p cnf 48 261 10 | -1 -3 4 0 11 | -1 -5 6 0 12 | -8 -7 9 0 13 | -8 -5 10 0 14 | -1 -11 -2 0 15 | -8 -13 -10 0 16 | -14 15 0 17 | -11 16 0 18 | -12 17 0 19 | -7 -15 0 20 | -3 -17 0 21 | -1 -12 0 22 | -1 -13 0 23 | -8 -14 0 24 | -8 -11 0 25 | 7 15 0 26 | 3 17 0 27 | 1 2 0 28 | 8 10 0 29 | 11 -16 0 30 | 1 -4 0 31 | 1 -6 0 32 | 8 -9 0 33 | 3 -4 0 34 | 5 -6 0 35 | 7 -9 0 36 | 1 8 0 37 | 14 11 12 13 0 38 | 7 3 5 0 39 | -1 -8 0 40 | -8 -1 0 41 | -14 -11 0 42 | -14 -12 0 43 | -14 -13 0 44 | -11 -14 0 45 | -11 -12 0 46 | -11 -13 0 47 | -12 -14 0 48 | -12 -11 0 49 | -12 -13 0 50 | -13 -14 0 51 | -13 -11 0 52 | -13 -12 0 53 | -7 -3 0 54 | -7 -5 0 55 | -3 -7 0 56 | -3 -5 0 57 | -5 -7 0 58 | -5 -3 0 59 | -1 -14 0 60 | 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0 248 | -20 -24 0 249 | -22 -20 0 250 | -22 -24 0 251 | -24 -20 0 252 | -24 -22 0 253 | -27 -28 0 254 | -27 -29 0 255 | -28 -27 0 256 | -28 -29 0 257 | -29 -27 0 258 | -29 -28 0 259 | -31 -32 0 260 | -31 -33 0 261 | -32 -31 0 262 | -32 -33 0 263 | -33 -31 0 264 | -33 -32 0 265 | -20 -39 0 266 | -22 -40 0 267 | -27 -38 0 268 | -28 -40 0 269 | -31 -38 0 270 | -32 -39 0 -------------------------------------------------------------------------------- /src/Others/tst/flat30-1.cnf: -------------------------------------------------------------------------------- 1 | c File: flat30_3_0.col 2 | c 3 | c SOURCE: Joseph Culberson (joe@cs.ualberta.ca) 4 | c DESCRIPTION: Quasi-random coloring problem 5 | c generated with flatness = 0 6 | c probability = 0.200 7 | c known coloring = 3 8 | c random seed = 228440 9 | c Creation Date: Fri Nov 29 22:01:38 1996 10 | c Maximum degree = 6 Minimum degree = 1 11 | c 12 | c cnf created by edge2cnf 13 | p cnf 90 300 14 | -1 -2 0 15 | -1 -3 0 16 | -2 -3 0 17 | 1 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with flatness = 0 6 | c probability = 0.200 7 | c known coloring = 3 8 | c random seed = 248145 9 | c Creation Date: Fri Nov 29 22:02:49 1996 10 | c Maximum degree = 6 Minimum degree = 2 11 | c 12 | c cnf created by edge2cnf 13 | p cnf 90 300 14 | -1 -2 0 15 | -1 -3 0 16 | -2 -3 0 17 | 1 2 3 0 18 | -4 -5 0 19 | -4 -6 0 20 | -5 -6 0 21 | 4 5 6 0 22 | -7 -8 0 23 | -7 -9 0 24 | -8 -9 0 25 | 7 8 9 0 26 | -10 -11 0 27 | -10 -12 0 28 | -11 -12 0 29 | 10 11 12 0 30 | -13 -14 0 31 | -13 -15 0 32 | -14 -15 0 33 | 13 14 15 0 34 | -16 -17 0 35 | -16 -18 0 36 | -17 -18 0 37 | 16 17 18 0 38 | -19 -20 0 39 | -19 -21 0 40 | -20 -21 0 41 | 19 20 21 0 42 | -22 -23 0 43 | -22 -24 0 44 | -23 -24 0 45 | 22 23 24 0 46 | -25 -26 0 47 | -25 -27 0 48 | -26 -27 0 49 | 25 26 27 0 50 | -28 -29 0 51 | -28 -30 0 52 | -29 -30 0 53 | 28 29 30 0 54 | -31 -32 0 55 | -31 -33 0 56 | -32 -33 0 57 | 31 32 33 0 58 | -34 -35 0 59 | -34 -36 0 60 | -35 -36 0 61 | 34 35 36 0 62 | -37 -38 0 63 | -37 -39 0 64 | -38 -39 0 65 | 37 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-------------------------------------------------------------------------------- /src/Others/tst/tst_v100_c160.cnf: -------------------------------------------------------------------------------- 1 | c 2 | c This file was generated by -=randSat=- cnf formula generator 3 | c 4 | p cnf 100 160 5 | -93 89 87 0 6 | 37 87 88 0 7 | -56 71 -25 0 8 | 2 -89 79 0 9 | -8 52 -71 0 10 | 31 13 65 0 11 | -48 64 38 0 12 | 16 -42 31 0 13 | -92 47 -29 0 14 | 52 60 19 0 15 | 82 52 6 0 16 | 3 65 74 0 17 | -20 29 -99 0 18 | 77 -8 21 0 19 | 79 17 -89 0 20 | 47 38 -24 0 21 | -12 -3 -38 0 22 | 20 24 67 0 23 | -28 59 49 0 24 | 89 -36 -16 0 25 | 38 44 95 0 26 | 79 62 71 0 27 | -56 -14 -67 0 28 | 49 32 85 0 29 | 70 47 54 0 30 | -93 63 -45 0 31 | 86 -10 55 0 32 | 53 -81 16 0 33 | 9 -52 -62 0 34 | 61 -26 19 0 35 | 81 -39 5 0 36 | 31 82 61 0 37 | -39 29 90 0 38 | 100 -55 76 0 39 | 16 95 -36 0 40 | 56 32 4 0 41 | 35 -84 -47 0 42 | -53 33 56 0 43 | 28 -38 93 0 44 | 34 9 -97 0 45 | -36 -63 -71 0 46 | 73 92 -10 0 47 | 13 55 8 0 48 | -65 44 46 0 49 | -10 43 42 0 50 | 31 -70 -48 0 51 | -44 69 43 0 52 | 89 97 81 0 53 | -46 16 -42 0 54 | -85 -28 -29 0 55 | 33 29 -15 0 56 | -60 27 -81 0 57 | 1 -96 29 0 58 | 6 -13 9 0 59 | 36 82 42 0 60 | 82 38 52 0 61 | -16 34 72 0 62 | -18 -60 65 0 63 | -72 63 59 0 64 | 54 15 38 0 65 | 16 -45 7 0 66 | -100 87 36 0 67 | 70 13 32 0 68 | -60 48 -75 0 69 | -5 31 68 0 70 | 39 21 -52 0 71 | 8 -5 55 0 72 | 16 10 53 0 73 | 84 46 -81 0 74 | 69 55 34 0 75 | 20 16 73 0 76 | 45 72 9 0 77 | -24 79 -29 0 78 | 77 15 58 0 79 | 46 7 -81 0 80 | 13 31 62 0 81 | -9 36 -75 0 82 | -76 44 85 0 83 | 57 28 74 0 84 | 26 42 -27 0 85 | 36 53 47 0 86 | 27 93 46 0 87 | -34 23 70 0 88 | 94 74 85 0 89 | 78 6 89 0 90 | 36 33 98 0 91 | 20 -51 84 0 92 | -52 -70 16 0 93 | 15 -42 71 0 94 | 9 -66 37 0 95 | 22 26 -78 0 96 | 50 -23 93 0 97 | 21 -20 -61 0 98 | 69 66 71 0 99 | -87 58 57 0 100 | 97 64 42 0 101 | 15 63 65 0 102 | 35 16 69 0 103 | -30 18 45 0 104 | -78 62 63 0 105 | 86 38 -15 0 106 | 89 21 15 0 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-97 63 0 164 | 61 33 52 0 165 | -------------------------------------------------------------------------------- /src/Others/tst/tst_v100_c400.cnf: -------------------------------------------------------------------------------- 1 | c 2 | c This file was generated by -=randSat=- cnf formula generator 3 | c 4 | p cnf 100 400 5 | 60 78 29 0 6 | 39 -96 -40 0 7 | -51 10 69 0 8 | -91 -24 51 0 9 | 90 7 -41 0 10 | 63 -67 78 0 11 | -87 23 -34 0 12 | 47 99 -23 0 13 | 30 46 -2 0 14 | 98 7 91 0 15 | 71 -86 31 0 16 | -67 2 -57 0 17 | 82 -34 74 0 18 | -33 87 59 0 19 | 29 42 8 0 20 | -71 32 85 0 21 | 61 77 -11 0 22 | 47 44 41 0 23 | 47 -2 -83 0 24 | 32 -15 76 0 25 | 13 64 83 0 26 | 70 34 55 0 27 | 36 57 12 0 28 | 45 85 -20 0 29 | 60 63 -87 0 30 | -78 31 29 0 31 | 96 9 -42 0 32 | 14 63 -21 0 33 | -89 64 -11 0 34 | 11 64 79 0 35 | -85 17 11 0 36 | 3 -39 60 0 37 | 7 33 82 0 38 | 52 57 49 0 39 | 56 60 22 0 40 | 46 77 -13 0 41 | -53 72 56 0 42 | 71 85 11 0 43 | 45 8 -70 0 44 | -18 26 -33 0 45 | 74 -7 81 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24 -45 74 0 428 | -62 -91 22 0 429 | 36 53 -2 0 430 | -------------------------------------------------------------------------------- /src/Others/tst/tst_v10_c100.cnf: -------------------------------------------------------------------------------- 1 | c 2 | c This file was generated by -=randSat=- cnf formula generator 3 | c 4 | p cnf 10 100 5 | 10 6 8 0 6 | 7 7 7 0 7 | -7 -7 -7 0 8 | 2 8 5 0 9 | 9 2 -6 0 10 | 1 -9 10 0 11 | -5 2 8 0 12 | 3 2 1 0 13 | 3 -2 -10 0 14 | -7 5 1 0 15 | -10 -9 -7 0 16 | 6 -9 4 0 17 | 3 -2 -9 0 18 | 9 3 -8 0 19 | 8 -1 2 0 20 | 7 -4 6 0 21 | 6 9 4 0 22 | -6 10 -9 0 23 | 10 -2 1 0 24 | 5 2 10 0 25 | -2 5 9 0 26 | 5 2 10 0 27 | -1 4 -3 0 28 | 1 6 3 0 29 | -1 7 2 0 30 | -3 -4 1 0 31 | -10 -5 3 0 32 | -1 2 -3 0 33 | -2 6 7 0 34 | 7 10 4 0 35 | 1 -10 4 0 36 | 10 6 8 0 37 | 5 -4 7 0 38 | 1 -7 -8 0 39 | -2 -8 1 0 40 | 1 7 5 0 41 | 4 2 8 0 42 | 8 -4 9 0 43 | 7 2 8 0 44 | -9 10 -1 0 45 | -10 3 -6 0 46 | 2 -7 -4 0 47 | -2 7 9 0 48 | 10 2 -8 0 49 | -10 1 -9 0 50 | 4 2 9 0 51 | -5 4 1 0 52 | -6 2 10 0 53 | -1 10 -4 0 54 | 3 -2 5 0 55 | -10 2 4 0 56 | -8 3 6 0 57 | 7 -10 6 0 58 | 10 9 7 0 59 | 5 -7 -9 0 60 | 4 -2 3 0 61 | 6 -7 5 0 62 | -2 8 -4 0 63 | -2 -6 4 0 64 | -6 8 9 0 65 | -8 -6 7 0 66 | 6 1 5 0 67 | 9 8 5 0 68 | 5 3 -6 0 69 | -1 -7 -5 0 70 | -5 4 10 0 71 | 7 9 8 0 72 | 4 5 -10 0 73 | 1 -7 8 0 74 | 2 3 -4 0 75 | 3 -4 6 0 76 | 7 9 5 0 77 | 5 3 2 0 78 | 4 2 -8 0 79 | -1 -2 -9 0 80 | -3 10 4 0 81 | -10 -7 8 0 82 | 2 4 -10 0 83 | -9 -8 2 0 84 | 8 4 3 0 85 | 4 7 9 0 86 | 1 6 10 0 87 | 4 1 10 0 88 | 10 2 -8 0 89 | 7 8 10 0 90 | 2 -4 -9 0 91 | -10 4 9 0 92 | 6 9 10 0 93 | 10 -3 -6 0 94 | -10 3 8 0 95 | 2 10 -8 0 96 | 2 5 6 0 97 | -10 -6 7 0 98 | -9 -10 -8 0 99 | -5 6 3 0 100 | 8 4 -9 0 101 | 8 1 9 0 102 | -6 9 10 0 103 | 6 1 4 0 104 | 8 -4 6 0 105 | -------------------------------------------------------------------------------- /src/Others/tst/tst_v200_c210.cnf: -------------------------------------------------------------------------------- 1 | c 2 | c This file was generated by -=randSat=- cnf formula generator 3 | c 4 | p cnf 200 210 5 | -188 40 166 0 6 | -62 -113 44 0 7 | -76 -91 112 0 8 | 194 18 99 0 9 | -44 182 70 0 10 | 39 -12 1 0 11 | 190 136 73 0 12 | 193 34 -199 0 13 | 149 148 9 0 14 | 114 -177 175 0 15 | 67 141 -198 0 16 | 136 76 -57 0 17 | 187 31 121 0 18 | 82 41 152 0 19 | -145 -182 138 0 20 | 9 69 62 0 21 | 145 79 130 0 22 | 111 24 -169 0 23 | 101 113 76 0 24 | -116 -113 176 0 25 | -119 94 125 0 26 | 5 125 84 0 27 | 18 183 -169 0 28 | 193 192 72 0 29 | 42 71 -58 0 30 | 186 -128 -88 0 31 | 79 83 -103 0 32 | 65 -93 -3 0 33 | 137 -50 162 0 34 | 9 49 131 0 35 | -181 -13 184 0 36 | 10 -161 189 0 37 | -98 -2 102 0 38 | 190 193 73 0 39 | 77 176 -142 0 40 | 63 70 140 0 41 | 190 133 46 0 42 | 174 -44 -168 0 43 | -41 -102 70 0 44 | 36 31 -91 0 45 | -83 -18 -65 0 46 | 15 179 65 0 47 | -64 188 -85 0 48 | -66 10 -173 0 49 | -2 -155 53 0 50 | -187 6 136 0 51 | 163 68 -108 0 52 | 86 -185 -103 0 53 | 9 -153 176 0 54 | 121 128 -132 0 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213 | 158 -187 -118 0 214 | 149 -85 120 0 215 | -------------------------------------------------------------------------------- /src/Others/tst/tst_v200_c220.cnf: -------------------------------------------------------------------------------- 1 | c 2 | c This file was generated by -=randSat=- cnf formula generator 3 | c 4 | p cnf 200 220 5 | -188 40 166 0 6 | -62 -113 44 0 7 | -76 -91 112 0 8 | 194 18 99 0 9 | -44 182 70 0 10 | 39 -12 1 0 11 | 190 136 73 0 12 | 193 34 -199 0 13 | 149 148 9 0 14 | 114 -177 175 0 15 | 67 141 -198 0 16 | 136 76 -57 0 17 | 187 31 121 0 18 | 82 41 152 0 19 | -145 -182 138 0 20 | 9 69 62 0 21 | 145 79 130 0 22 | 111 24 -169 0 23 | 101 113 76 0 24 | -116 -113 176 0 25 | -119 94 125 0 26 | 5 125 84 0 27 | 18 183 -169 0 28 | 193 192 72 0 29 | 42 71 -58 0 30 | 186 -128 -88 0 31 | 79 83 -103 0 32 | 65 -93 -3 0 33 | 137 -50 162 0 34 | 9 49 131 0 35 | -181 -13 184 0 36 | 10 -161 189 0 37 | -98 -2 102 0 38 | 190 193 73 0 39 | 77 176 -142 0 40 | 63 70 140 0 41 | 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-63 198 0 200 | -195 66 15 0 201 | -109 -19 -35 0 202 | 116 163 170 0 203 | 134 108 182 0 204 | 180 140 72 0 205 | 104 -66 -71 0 206 | -150 60 183 0 207 | -8 102 108 0 208 | 69 19 172 0 209 | 62 1 193 0 210 | -64 14 138 0 211 | 83 18 22 0 212 | -76 -96 -9 0 213 | 158 -187 -118 0 214 | 149 -85 120 0 215 | 68 146 193 0 216 | 18 -181 39 0 217 | 63 83 12 0 218 | -16 147 27 0 219 | 63 109 148 0 220 | 37 -1 15 0 221 | 70 73 -192 0 222 | -186 98 73 0 223 | -59 -108 -34 0 224 | -46 127 58 0 225 | -------------------------------------------------------------------------------- /src/Others/tst/tst_v25_c100.cnf: -------------------------------------------------------------------------------- 1 | c 2 | c This file was generated by -=randSat=- cnf formula generator 3 | c 4 | p cnf 25 100 5 | -5 16 10 0 6 | -14 17 10 0 7 | 17 -19 13 0 8 | -14 -4 18 0 9 | -9 22 3 0 10 | 1 19 -9 0 11 | -7 18 -2 0 12 | 22 11 17 0 13 | -19 1 4 0 14 | -22 16 6 0 15 | 2 18 5 0 16 | 24 -16 1 0 17 | 24 14 17 0 18 | 15 -1 11 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0 82 | -10 -19 2 0 83 | -2 -15 -21 0 84 | -13 11 -1 0 85 | -14 10 17 0 86 | 16 25 -6 0 87 | 2 4 25 0 88 | -14 21 24 0 89 | 6 -2 22 0 90 | 16 -12 1 0 91 | -18 -12 22 0 92 | -7 -14 5 0 93 | -20 23 15 0 94 | -4 -9 -19 0 95 | -2 21 8 0 96 | -18 -14 -16 0 97 | 18 -24 8 0 98 | 11 7 23 0 99 | -4 -13 9 0 100 | -19 12 14 0 101 | 18 6 17 0 102 | 9 16 -4 0 103 | 14 2 -25 0 104 | -5 17 -11 0 105 | -------------------------------------------------------------------------------- /src/Others/tst/tst_v50_c500.cnf: -------------------------------------------------------------------------------- 1 | c 2 | c This file was generated by -=randSat=- cnf formula generator 3 | c 4 | p cnf 50 500 5 | -9 32 19 0 6 | -27 34 20 0 7 | 34 -38 26 0 8 | -27 -7 36 0 9 | -17 44 6 0 10 | 2 38 -18 0 11 | -14 35 -3 0 12 | 20 -47 -48 0 13 | 3 13 35 0 14 | 23 -36 35 0 15 | 33 38 39 0 16 | -43 -48 6 0 17 | 47 -32 2 0 18 | 47 27 33 0 19 | 27 -36 35 0 20 | 29 -2 21 0 21 | 16 48 19 0 22 | 36 1 -32 0 23 | 2 23 7 0 24 | 21 22 6 0 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generated by -=randSat=- cnf formula generator 3 | c 4 | p cnf 25 100 5 | -5 16 10 0 6 | -14 17 10 0 7 | 17 -19 13 0 8 | -14 -4 18 0 9 | -9 22 3 0 10 | 1 19 -9 0 11 | -7 18 -2 0 12 | 22 11 17 0 13 | -19 1 4 0 14 | -22 16 6 0 15 | 2 18 5 0 16 | 24 -16 1 0 17 | 24 14 17 0 18 | 15 -1 11 0 19 | 8 24 10 0 20 | 18 1 -16 0 21 | 1 12 4 0 22 | 8 -25 9 0 23 | 14 6 1 0 24 | -18 -1 23 0 25 | 16 13 -17 0 26 | 2 1 20 0 27 | -16 -24 13 0 28 | -16 13 2 0 29 | -25 9 17 0 30 | -21 -12 7 0 31 | 10 6 17 0 32 | 3 23 15 0 33 | -11 7 1 0 34 | 17 -14 5 0 35 | -17 11 -7 0 36 | -17 22 23 0 37 | 20 25 -4 0 38 | 13 12 7 0 39 | -11 8 7 0 40 | 21 -24 9 0 41 | 16 -15 -23 0 42 | 10 2 17 0 43 | -5 12 -18 0 44 | 4 -9 -24 0 45 | 18 13 1 0 46 | 15 -13 25 0 47 | 10 -25 14 0 48 | 22 3 -24 0 49 | 21 15 5 0 50 | 10 4 18 0 51 | -24 23 -7 0 52 | 15 -16 -21 0 53 | 18 21 2 0 54 | -18 19 -7 0 55 | 4 3 -16 0 56 | 14 13 4 0 57 | -8 -10 -7 0 58 | -13 15 -3 0 59 | 16 1 -20 0 60 | 21 15 4 0 61 | -9 -15 21 0 62 | 2 12 21 0 63 | 18 21 6 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-------------------------------------------------------------------------------- /src/Standard/functional_test/sat-20.cnf: -------------------------------------------------------------------------------- 1 | c This Formula is generated by mcnf 2 | c 3 | c horn? no 4 | c forced? no 5 | c mixed sat? no 6 | c clause length = 3 7 | c 8 | p cnf 20 91 9 | 4 -18 19 0 10 | 3 18 -5 0 11 | -5 -8 -15 0 12 | -20 7 -16 0 13 | 10 -13 -7 0 14 | -12 -9 17 0 15 | 17 19 5 0 16 | -16 9 15 0 17 | 11 -5 -14 0 18 | 18 -10 13 0 19 | -3 11 12 0 20 | -6 -17 -8 0 21 | -18 14 1 0 22 | -19 -15 10 0 23 | 12 18 -19 0 24 | -8 4 7 0 25 | -8 -9 4 0 26 | 7 17 -15 0 27 | 12 -7 -14 0 28 | -10 -11 8 0 29 | 2 -15 -11 0 30 | 9 6 1 0 31 | -11 20 -17 0 32 | 9 -15 13 0 33 | 12 -7 -17 0 34 | -18 -2 20 0 35 | 20 12 4 0 36 | 19 11 14 0 37 | -16 18 -4 0 38 | -1 -17 -19 0 39 | -13 15 10 0 40 | -12 -14 -13 0 41 | 12 -14 -7 0 42 | -7 16 10 0 43 | 6 10 7 0 44 | 20 14 -16 0 45 | -19 17 11 0 46 | -7 1 -20 0 47 | -5 12 15 0 48 | -4 -9 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-------------------------------------------------------------------------------- 1 | s 1 2 | v -1 2 3 4 -5 -6 -7 8 9 3 | 10 11 -12 -13 14 15 -16 17 18 4 | 19 20 5 | t 1433ms -------------------------------------------------------------------------------- /src/Standard/functional_test/unsat-5cnf-30.cnf: -------------------------------------------------------------------------------- 1 | p cnf 30 420 2 | 21 -9 -8 6 0 3 | 29 22 -4 26 -18 0 4 | 9 15 22 -7 -10 0 5 | 24 -19 -7 12 16 0 6 | -25 -14 -4 12 -5 0 7 | -21 23 11 14 -18 0 8 | -16 -28 30 4 7 0 9 | 26 5 29 -22 -9 0 10 | -1 27 -29 13 0 11 | -15 13 -2 -22 0 12 | -10 -17 23 -21 0 13 | 25 29 24 11 0 14 | -10 27 28 30 22 0 15 | -28 -24 13 -21 0 16 | 18 -9 -14 15 -21 0 17 | 2 -25 1 -17 -14 0 18 | -30 -18 -4 -16 23 0 19 | 17 12 -21 3 -25 0 20 | 7 -4 29 14 9 0 21 | -21 1 -9 -6 14 0 22 | -23 -10 -1 -14 0 23 | -23 29 20 -6 9 0 24 | -11 20 23 -6 7 0 25 | -23 6 4 25 -19 0 26 | -4 9 12 24 -17 0 27 | 15 -19 -6 0 28 | 14 8 17 -23 0 29 | 3 -1 -2 -16 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-------------------------------------------------------------------------------- /src/Standard/functional_test/unsat-5cnf-30.res: -------------------------------------------------------------------------------- 1 | s 0 2 | t 729ms -------------------------------------------------------------------------------- /src/Standard/performance_test/temp_test.res: -------------------------------------------------------------------------------- 1 | s 1 2 | v -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（输出的答案中，0表示真值或者负值都可以！） 3 | t 38ms -------------------------------------------------------------------------------- /程序框架.md: -------------------------------------------------------------------------------- 1 | 具体内容见本子 2 | 过程： 3 | 1.cnf解析 4 | 打开文件，逐行读入数据，将数据依次保存在链表中。 5 | CnfParser()函数返回值为存储完毕的数据结构的头指针L，如图所示： 6 | 7 | ![image-20210907195322077](C:\Users\lingwu\AppData\Roaming\Typora\typora-user-images\image-20210907195322077.png) 8 | 9 | 10 | 2.用户交互部分 11 | 用户进行选择1或者2，if语句分开处理。 12 | 13 | 3.算法执行部分，核心算法DPLL算法的实现 14 | 15 | 4.数独部分 16 | 17 | 5.书写实验报告 18 | 19 | ### 可以优化部分： 20 | 21 | * 考虑是否可以转变成非递归 22 | 23 | x.将做好的项目工程文件Push到github的代码仓库中 24 | 25 | 非递归优化策略解释 26 | 27 | 基本思想：类比二叉树的非递归中序遍历 28 | 29 | 二叉树中序遍历伪码： 30 | status InOrderTraverse(BiTree T, void(*visit)(BiTree)){ 31 | InitStack(S); Push(S, T); 32 | while(!StackEmpty(S)){ 33 | while(Getop(S, p) && p) { Push(S, p->lchild); } 34 | Pop(S, p);//空指针退栈！ 35 | if(!StackEmpty(S)){ 36 | Pop(S, p); if(!visit(p)) return ERROR; 37 | Push(S, p->rchild); 38 | } 39 | } 40 | } 41 | 42 | 非递归DPLL代码： 43 | bool NewDPLL(HeadNode* L, int* book){//非递归版本DPLL算法 44 | stack S; 45 | HeadNode* ListL[10000] = {nullptr}; int i = 0;//ListL用来记录每次改变的链表结点内容 46 | HeadNode* temL = nullptr; 47 | int v[10000]; int val; 48 | S.push(L); 49 | while(!S.empty()){ 50 | while((L = S.top()) && (val = SingleSpread(L, book)) == NOMAL){ 51 | //cout << "循环开始" << endl; printList(L); 52 | temL = CopyList(L); 53 | ListL[i] = temL; 54 | v[i] = SelectWord2(L); 55 | //cout << "选取的变元为：" << v[i] << endl; 56 | L = merge(L, v[i]); 57 | S.push(L);i++; 58 | } 59 | //printList(L); cout << "循环结束" << endl; 60 | if(val == TRUE) return TRUE; 61 | S.pop();i--; 62 | //cout << "此处的变元为：" << v[i] << endl; 63 | FreeList(L); 64 | //cout << "栈的大小为" << S.size() << endl; 65 | if(!S.empty()){ 66 | L = ListL[i]; S.pop(); 67 | S.push(merge(L, -v[i])); 68 | } 69 | } 70 | return FALSE; 71 | } 72 | 73 | 变量设置： 74 | 栈S内存储每个不同结点的邻接表结构的头结点。栈S内的指针指向的空间由函数CopyList(L)进行分配 75 | v[i]记录每个不同结点的选取变元 76 | 栈S和v[i]都是用来记录不同节点的一种状态，方便后续退栈后回到之前的状态 77 | 原本的二叉树非递归是通过判断下一个节点是否为nullptr来决定是否入栈 78 | 现在是用单子句传播后邻接表的结构特征来判断（也就是函数SingleSpread()的返回值） 79 | 如果返回值为FALSE，就相当于把下一个结点看作nullptr，进行退栈 -------------------------------------------------------------------------------- /程序设计综合课程设计报告撰写内容及规范化参考样本.docx: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/lingwu-hb/DPLLsolveSATproblem/bb21cc5a02d78db8720a8fae13c3276cd267e1cc/程序设计综合课程设计报告撰写内容及规范化参考样本.docx --------------------------------------------------------------------------------