/** 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(); } }
private Instance solve(Formula f, Bounds b) { final Solution sol = solver.solve(f, b); final Statistics stats = sol.stats(); pVars = stats.primaryVariables(); iVars = stats.variables() - pVars; clauses = stats.clauses(); return sol.instance(); }
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)); }
private Instance nextInstance() { Instance instance; if (iterator.hasNext()) { Solution solution = iterator.next(); instance = solution.instance(); if (logger.isLoggable(Level.FINE)) { logger.fine( "CNF translated in " + solution.stats().translationTime() + " ms and solved in " + solution.stats().solvingTime() + "ms (" + solution.stats().clauses() + " clauses, " + solution.stats().variables() + " variables, " + solution.stats().primaryVariables() + " primary variables)"); } /* TO DO: maybe add a preference for this: */ /* * the information is printed on the output stream and then read by * ProB in get_solutions_from_stream in kodkod_process.pl */ System.out.println( "stats(" + solution.stats().translationTime() + "," + solution.stats().solvingTime() + "," + solution.stats().clauses() + "," + solution.stats().variables() + "," + solution.stats().primaryVariables() + "). "); } else { instance = null; } return instance; }