/** Usage: java BlockedNQueens <file name> */
public static void main(String[] args) {
if (args.length < 1) usage();
try {
final BlockedNQueens model = new BlockedNQueens(args[0]);
final Formula f = model.rules();
final Bounds b = model.bounds();
final Solver s = new Solver();
// System.out.println(b);
System.out.println(PrettyPrinter.print(f, 1));
s.options().setSolver(SATFactory.MiniSat);
s.options().setBitwidth(33 - Integer.numberOfLeadingZeros((b.universe().size() / 2) - 1));
s.options().setFlatten(false);
s.options().setReporter(new ConsoleReporter());
final Solution sol = s.solve(f, b);
if (sol.instance() != null) {
System.out.println("solution:");
model.print(sol.instance(), s.options());
} else {
System.out.println("no solution");
}
System.out.println(sol.stats());
} catch (NumberFormatException nfe) {
usage();
}
}
public static void main(String[] args) throws Exception {
Relation x0 = Relation.unary("Int/min");
Relation x1 = Relation.unary("Int/zero");
Relation x2 = Relation.unary("Int/max");
Relation x3 = Relation.nary("Int/next", 2);
Relation x4 = Relation.unary("seq/Int");
Relation x5 = Relation.unary("String");
Relation x6 = Relation.unary("this/A");
Relation x7 = Relation.unary("this/Relation");
Relation x8 = Relation.nary("this/Relation.r", 4);
List<String> atomlist =
Arrays.asList(
"-1",
"-2",
"-3",
"-4",
"-5",
"-6",
"-7",
"-8",
"0",
"1",
"2",
"3",
"4",
"5",
"6",
"7",
"A$0",
"A$1",
"A$2",
"Relation$0",
"unused0",
"unused1");
Universe universe = new Universe(atomlist);
TupleFactory factory = universe.factory();
Bounds bounds = new Bounds(universe);
TupleSet x0_upper = factory.noneOf(1);
x0_upper.add(factory.tuple("-8"));
bounds.boundExactly(x0, x0_upper);
TupleSet x1_upper = factory.noneOf(1);
x1_upper.add(factory.tuple("0"));
bounds.boundExactly(x1, x1_upper);
TupleSet x2_upper = factory.noneOf(1);
x2_upper.add(factory.tuple("7"));
bounds.boundExactly(x2, x2_upper);
TupleSet x3_upper = factory.noneOf(2);
x3_upper.add(factory.tuple("-8").product(factory.tuple("-7")));
x3_upper.add(factory.tuple("-7").product(factory.tuple("-6")));
x3_upper.add(factory.tuple("-6").product(factory.tuple("-5")));
x3_upper.add(factory.tuple("-5").product(factory.tuple("-4")));
x3_upper.add(factory.tuple("-4").product(factory.tuple("-3")));
x3_upper.add(factory.tuple("-3").product(factory.tuple("-2")));
x3_upper.add(factory.tuple("-2").product(factory.tuple("-1")));
x3_upper.add(factory.tuple("-1").product(factory.tuple("0")));
x3_upper.add(factory.tuple("0").product(factory.tuple("1")));
x3_upper.add(factory.tuple("1").product(factory.tuple("2")));
x3_upper.add(factory.tuple("2").product(factory.tuple("3")));
x3_upper.add(factory.tuple("3").product(factory.tuple("4")));
x3_upper.add(factory.tuple("4").product(factory.tuple("5")));
x3_upper.add(factory.tuple("5").product(factory.tuple("6")));
x3_upper.add(factory.tuple("6").product(factory.tuple("7")));
bounds.boundExactly(x3, x3_upper);
TupleSet x4_upper = factory.noneOf(1);
x4_upper.add(factory.tuple("0"));
x4_upper.add(factory.tuple("1"));
x4_upper.add(factory.tuple("2"));
bounds.boundExactly(x4, x4_upper);
TupleSet x5_upper = factory.noneOf(1);
bounds.boundExactly(x5, x5_upper);
TupleSet x6_upper = factory.noneOf(1);
x6_upper.add(factory.tuple("A$0"));
x6_upper.add(factory.tuple("A$1"));
x6_upper.add(factory.tuple("A$2"));
bounds.boundExactly(x6, x6_upper);
TupleSet x7_upper = factory.noneOf(1);
x7_upper.add(factory.tuple("unused0"));
x7_upper.add(factory.tuple("unused1"));
x7_upper.add(factory.tuple("Relation$0"));
bounds.bound(x7, x7_upper);
TupleSet x8_upper = factory.noneOf(4);
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("unused1")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1"))
.product(factory.tuple("A$2")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$0")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$1")));
x8_upper.add(
factory
.tuple("Relation$0")
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2"))
.product(factory.tuple("A$2")));
bounds.bound(x8, x8_upper);
bounds.boundExactly(-8, factory.range(factory.tuple("-8"), factory.tuple("-8")));
bounds.boundExactly(-7, factory.range(factory.tuple("-7"), factory.tuple("-7")));
bounds.boundExactly(-6, factory.range(factory.tuple("-6"), factory.tuple("-6")));
bounds.boundExactly(-5, factory.range(factory.tuple("-5"), factory.tuple("-5")));
bounds.boundExactly(-4, factory.range(factory.tuple("-4"), factory.tuple("-4")));
bounds.boundExactly(-3, factory.range(factory.tuple("-3"), factory.tuple("-3")));
bounds.boundExactly(-2, factory.range(factory.tuple("-2"), factory.tuple("-2")));
bounds.boundExactly(-1, factory.range(factory.tuple("-1"), factory.tuple("-1")));
bounds.boundExactly(0, factory.range(factory.tuple("0"), factory.tuple("0")));
bounds.boundExactly(1, factory.range(factory.tuple("1"), factory.tuple("1")));
bounds.boundExactly(2, factory.range(factory.tuple("2"), factory.tuple("2")));
bounds.boundExactly(3, factory.range(factory.tuple("3"), factory.tuple("3")));
bounds.boundExactly(4, factory.range(factory.tuple("4"), factory.tuple("4")));
bounds.boundExactly(5, factory.range(factory.tuple("5"), factory.tuple("5")));
bounds.boundExactly(6, factory.range(factory.tuple("6"), factory.tuple("6")));
bounds.boundExactly(7, factory.range(factory.tuple("7"), factory.tuple("7")));
Variable x12 = Variable.unary("this");
Decls x11 = x12.oneOf(x7);
Expression x16 = x12.join(x8);
Expression x18 = x6.product(x6);
Expression x17 = x6.product(x18);
Formula x15 = x16.in(x17);
Variable x21 = Variable.unary("x21");
Decls x20 = x21.oneOf(x6);
Expression x25 = x21.join(x16);
Expression x26 = x6.product(x6);
Formula x24 = x25.in(x26);
Variable x29 = Variable.unary("x29");
Decls x28 = x29.oneOf(x6);
Expression x32 = x29.join(x25);
Formula x31 = x32.one();
Formula x33 = x32.in(x6);
Formula x30 = x31.and(x33);
Formula x27 = x30.forAll(x28);
Formula x23 = x24.and(x27);
Variable x36 = Variable.unary("x36");
Decls x35 = x36.oneOf(x6);
Expression x38 = x25.join(x36);
Formula x37 = x38.in(x6);
Formula x34 = x37.forAll(x35);
Formula x22 = x23.and(x34);
Formula x19 = x22.forAll(x20);
Formula x14 = x15.and(x19);
Variable x42 = Variable.unary("x42");
Decls x41 = x42.oneOf(Expression.UNIV);
Variable x45 = Variable.unary("x45");
Decls x44 = x45.oneOf(Expression.UNIV);
Decls x40 = x41.and(x44);
Expression x50 = x42.product(x45);
Expression x51 = x6.product(x6);
Formula x49 = x50.in(x51);
Variable x54 = Variable.unary("x54");
Decls x53 = x54.oneOf(x6);
Expression x57 = x54.join(x50);
Formula x56 = x57.one();
Formula x58 = x57.in(x6);
Formula x55 = x56.and(x58);
Formula x52 = x55.forAll(x53);
Formula x48 = x49.and(x52);
Variable x61 = Variable.unary("x61");
Decls x60 = x61.oneOf(x6);
Expression x63 = x50.join(x61);
Formula x62 = x63.in(x6);
Formula x59 = x62.forAll(x60);
Formula x47 = x48.and(x59);
Expression x66 = x16.join(x45);
Expression x65 = x66.join(x42);
Formula x64 = x65.in(x6);
Formula x46 = x47.implies(x64);
Formula x39 = x46.forAll(x40);
Formula x13 = x14.and(x39);
Formula x10 = x13.forAll(x11);
Expression x70 = x8.join(Expression.UNIV);
Expression x69 = x70.join(Expression.UNIV);
Expression x68 = x69.join(Expression.UNIV);
Formula x67 = x68.in(x7);
Formula x71 = x0.eq(x0);
Formula x72 = x1.eq(x1);
Formula x73 = x2.eq(x2);
Formula x74 = x3.eq(x3);
Formula x75 = x4.eq(x4);
Formula x76 = x5.eq(x5);
Formula x77 = x6.eq(x6);
Formula x78 = x7.eq(x7);
Formula x79 = x8.eq(x8);
Formula x9 =
Formula.compose(FormulaOperator.AND, x10, x67, x71, x72, x73, x74, x75, x76, x77, x78, x79);
Solver solver = new Solver();
solver.options().setSolver(SATFactory.DefaultSAT4J);
solver.options().setBitwidth(4);
solver.options().setFlatten(false);
solver.options().setIntEncoding(Options.IntEncoding.TWOSCOMPLEMENT);
solver.options().setSymmetryBreaking(20);
solver.options().setSkolemDepth(0);
System.out.println(PrettyPrinter.print(x9, 0));
System.out.println(bounds);
System.out.println("Solving...");
System.out.flush();
Solution sol = solver.solve(x9, bounds);
System.out.println(sol.toString());
Instance inst = sol.instance();
Evaluator ev = new Evaluator(inst);
System.out.println("Universe: " + ev.evaluate(Expression.UNIV));
Formula xx = x46.forAll(x40).forAll(x11);
System.out.println(PrettyPrinter.print(xx, 2));
System.out.println(ev.evaluate(xx));
System.out.println(PrettyPrinter.print(x46, 4));
// Variable r = Variable.unary("this");
// Variable u1 = Variable.unary("u1");
// Variable u2 = Variable.unary("u2");
//
// Formula ff =
// u1.product(u2).in(x6.product(x6)).forAll(u1.oneOf(Expression.UNIV).and(u2.oneOf(Expression.UNIV))).forAll(r.oneOf(x7));
// System.out.println(PrettyPrinter.print(ff, 0));
// System.out.println(ev.evaluate(ff));
}