Example #1
0
  /**
   * Returns the bounds for the given scope.
   *
   * @return the bounds for the given scope.
   */
  public final Bounds bounds(int scope) {
    assert scope > 0;
    final int n = scope * 3;
    final List<String> atoms = new ArrayList<String>(n);
    for (int i = 0; i < scope; i++) atoms.add("Object" + i);
    for (int i = 0; i < scope; i++) atoms.add("Name" + i);
    for (int i = 0; i < scope; i++) atoms.add("DirEntry" + i);

    final Universe u = new Universe(atoms);
    final TupleFactory f = u.factory();
    final Bounds b = new Bounds(u);

    final int max = scope - 1;

    b.bound(Obj, f.range(f.tuple("Object0"), f.tuple("Object" + max)));
    b.boundExactly(Root, f.setOf("Object0"));
    b.bound(Cur, b.upperBound(Obj));
    b.bound(File, b.upperBound(Obj));
    b.bound(Dir, b.upperBound(Obj));
    b.bound(Name, f.range(f.tuple("Name0"), f.tuple("Name" + max)));
    b.bound(DirEntry, f.range(f.tuple("DirEntry0"), f.tuple("DirEntry" + max)));

    b.bound(entries, b.upperBound(Dir).product(b.upperBound(DirEntry)));
    b.bound(parent, b.upperBound(Dir).product(b.upperBound(Dir)));
    b.bound(name, b.upperBound(DirEntry).product(b.upperBound(Name)));
    b.bound(contents, b.upperBound(DirEntry).product(b.upperBound(Obj)));

    return b;
  }
  public SymmetryBreakingTest() {
    this.solver = new Solver();

    List<String> atoms = new ArrayList<String>(USIZE);
    for (int i = 0; i < USIZE; i++) {
      atoms.add("" + i);
    }
    final Universe universe = new Universe(atoms);
    this.factory = universe.factory();

    to1 = Relation.binary("to1");
    ord1 = Relation.unary("ord1");
    first1 = Relation.unary("first1");
    last1 = Relation.unary("last1");

    to2 = Relation.binary("to2");
    ord2 = Relation.unary("ord2");
    first2 = Relation.unary("first2");
    last2 = Relation.unary("last2");

    to3 = Relation.binary("to3");
    ord3 = Relation.unary("ord3");
    first3 = Relation.unary("first3");
    last3 = Relation.unary("last3");

    ac1 = Relation.binary("ac1");
    ac2 = Relation.binary("ac2");
    ac3 = Relation.binary("ac3");

    r1 = Relation.unary("r1");
    r2 = Relation.binary("r2");
  }
Example #3
0
 private Tuple createSetElement(final Universe universe, final int[] numbers) {
   checkArity(numbers);
   final Object[] atoms = new Object[arity];
   for (int i = 0; i < arity; i++) {
     final int element = numbers[i];
     final SetEnabledType setType = (SetEnabledType) types[i];
     atoms[i] = universe.atom(setType.encodeElement(element));
   }
   return universe.factory().tuple(atoms);
 }
Example #4
0
 private void createTuples(
     final Universe universe,
     final int pos,
     final int[][] atomIndeces,
     final Object[] atoms,
     final Collection<Tuple> tuples) {
   if (pos < arity) {
     final int[] current = atomIndeces[pos];
     for (final int index : current) {
       atoms[pos] = universe.atom(index);
       createTuples(universe, pos + 1, atomIndeces, atoms, tuples);
     }
   } else {
     tuples.add(universe.factory().tuple(atoms));
   }
 }
Example #5
0
 /**
  * Create a {@link TupleSet} by specifying a collection of tuples
  *
  * @param numTuples a collection of type-specific tuples, never <code>null</code>. Each tuple must
  *     not be <code>null</code> and is encoded as an array. The length of the array must be the
  *     arity of the type
  * @return a {@link TupleSet}, never <code>null</code>
  */
 public TupleSet createTupleSet(final Universe universe, final Collection<int[]> numTuples) {
   if (isSingleton && numTuples.size() != 1)
     throw new IllegalArgumentException("Expected singleton set for singleton");
   final Collection<Tuple> result;
   if (mustBeSingleton) {
     final int[] numbers = numTuples.iterator().next();
     result = createSingleton(universe, numbers);
   } else {
     result = createSet(universe, numTuples);
   }
   final TupleSet tupleSet;
   if (result.isEmpty()) {
     tupleSet = universe.factory().noneOf(arity);
   } else {
     tupleSet = universe.factory().setOf(result);
   }
   return tupleSet;
 }
Example #6
0
 /**
  * Computes the bounds for sigs/fields, then construct a BoundsComputer object that you can query.
  */
 private BoundsComputer(A4Reporter rep, A4Solution sol, ScopeComputer sc, Iterable<Sig> sigs)
     throws Err {
   this.sc = sc;
   this.factory = sol.getFactory();
   this.rep = rep;
   this.sol = sol;
   // Figure out the sig bounds
   final Universe universe = factory.universe();
   final int atomN = universe.size();
   final List<Tuple> atoms = new ArrayList<Tuple>(atomN);
   for (int i = atomN - 1; i >= 0; i--) atoms.add(factory.tuple(universe.atom(i)));
   for (Sig s : sigs) if (!s.builtin && s.isTopLevel()) computeLowerBound(atoms, (PrimSig) s);
   for (Sig s : sigs) if (!s.builtin && s.isTopLevel()) computeUpperBound((PrimSig) s);
   // Bound the sigs
   for (Sig s : sigs) if (!s.builtin && s.isTopLevel()) allocatePrimSig((PrimSig) s);
   for (Sig s : sigs) if (s instanceof SubsetSig) allocateSubsetSig((SubsetSig) s);
   // Bound the fields
   again:
   for (Sig s : sigs) {
     while (s.isOne != null
         && s.getFieldDecls().size() == 2
         && s.getFields().size() == 2
         && s.getFacts().size() == 1) {
       // Let's check whether this is a total ordering on an enum...
       Expr fact = s.getFacts().get(0).deNOP(),
           b1 = s.getFieldDecls().get(0).expr.deNOP(),
           b2 = s.getFieldDecls().get(1).expr.deNOP(),
           b3;
       if (!(fact instanceof ExprList)
           || !(b1 instanceof ExprUnary)
           || !(b2 instanceof ExprBinary)) break;
       ExprList list = (ExprList) fact;
       if (list.op != ExprList.Op.TOTALORDER || list.args.size() != 3) break;
       if (((ExprUnary) b1).op != ExprUnary.Op.SETOF) break;
       else b1 = ((ExprUnary) b1).sub.deNOP();
       if (((ExprBinary) b2).op != ExprBinary.Op.ARROW) break;
       else {
         b3 = ((ExprBinary) b2).right.deNOP();
         b2 = ((ExprBinary) b2).left.deNOP();
       }
       if (!(b1 instanceof PrimSig) || b1 != b2 || b1 != b3) break;
       PrimSig sub = (PrimSig) b1;
       Field f1 = s.getFields().get(0), f2 = s.getFields().get(1);
       if (sub.isEnum == null
           || !list.args.get(0).isSame(sub)
           || !list.args.get(1).isSame(s.join(f1))
           || !list.args.get(2).isSame(s.join(f2))) break;
       // Now, we've confirmed it is a total ordering on an enum. Let's pre-bind the relations
       TupleSet me = sol.query(true, sol.a2k(s), false),
           firstTS = factory.noneOf(2),
           lastTS = null,
           nextTS = factory.noneOf(3);
       if (me.size() != 1 || me.arity() != 1) break;
       int n = sub.children().size();
       for (PrimSig c : sub.children()) {
         TupleSet TS = sol.query(true, sol.a2k(c), false);
         if (TS.size() != 1 || TS.arity() != 1) {
           firstTS = factory.noneOf(2);
           nextTS = factory.noneOf(3);
           break;
         }
         if (lastTS == null) {
           firstTS = me.product(TS);
           lastTS = TS;
           continue;
         }
         nextTS.addAll(me.product(lastTS).product(TS));
         lastTS = TS;
       }
       if (firstTS.size() != (n > 0 ? 1 : 0) || nextTS.size() != n - 1) break;
       sol.addField(f1, sol.addRel(s.label + "." + f1.label, firstTS, firstTS));
       sol.addField(f2, sol.addRel(s.label + "." + f2.label, nextTS, nextTS));
       rep.bound("Field " + s.label + "." + f1.label + " == " + firstTS + "\n");
       rep.bound("Field " + s.label + "." + f2.label + " == " + nextTS + "\n");
       continue again;
     }
     for (Field f : s.getFields()) {
       boolean isOne = s.isOne != null;
       if (isOne && f.decl().expr.mult() == ExprUnary.Op.EXACTLYOF) {
         Expression sim = sim(f.decl().expr);
         if (sim != null) {
           rep.bound("Field " + s.label + "." + f.label + " defined to be " + sim + "\n");
           sol.addField(f, sol.a2k(s).product(sim));
           continue;
         }
       }
       Type t = isOne ? Sig.UNIV.type().join(f.type()) : f.type();
       TupleSet ub = factory.noneOf(t.arity());
       for (List<PrimSig> p : t.fold()) {
         TupleSet upper = null;
         for (PrimSig b : p) {
           TupleSet tmp = sol.query(true, sol.a2k(b), false);
           if (upper == null) upper = tmp;
           else upper = upper.product(tmp);
         }
         ub.addAll(upper);
       }
       Relation r = sol.addRel(s.label + "." + f.label, null, ub);
       sol.addField(f, isOne ? sol.a2k(s).product(r) : r);
     }
   }
   // Add any additional SIZE constraints
   for (Sig s : sigs)
     if (!s.builtin) {
       Expression exp = sol.a2k(s);
       TupleSet upper = sol.query(true, exp, false), lower = sol.query(false, exp, false);
       final int n = sc.sig2scope(s);
       if (s.isOne != null && (lower.size() != 1 || upper.size() != 1)) {
         rep.bound("Sig " + s + " in " + upper + " with size==1\n");
         sol.addFormula(exp.one(), s.isOne);
         continue;
       }
       if (s.isSome != null && lower.size() < 1) sol.addFormula(exp.some(), s.isSome);
       if (s.isLone != null && upper.size() > 1) sol.addFormula(exp.lone(), s.isLone);
       if (n < 0) continue; // This means no scope was specified
       if (lower.size() == n && upper.size() == n && sc.isExact(s)) {
         rep.bound("Sig " + s + " == " + upper + "\n");
       } else if (sc.isExact(s)) {
         rep.bound("Sig " + s + " in " + upper + " with size==" + n + "\n");
         sol.addFormula(size(s, n, true), Pos.UNKNOWN);
       } else if (upper.size() <= n) {
         rep.bound("Sig " + s + " in " + upper + "\n");
       } else {
         rep.bound("Sig " + s + " in " + upper + " with size<=" + n + "\n");
         sol.addFormula(size(s, n, false), Pos.UNKNOWN);
       }
     }
 }
  /**
   * Returns the bounds for relational encoding of the problem based on the input file.
   *
   * @return the bounds for relational encoding of the problem based on the input file.
   */
  public Bounds bounds() {
    try {
      final BufferedReader reader = new BufferedReader(new FileReader(new File(file)));

      final Pattern np = Pattern.compile("num\\((\\d+)\\)\\.");
      final Pattern bp = Pattern.compile("block\\((\\d+),\\s*(\\d+)\\)\\.");

      String line = "";
      final Matcher m = np.matcher(line);

      int n = 0;
      for (line = reader.readLine();
          line != null && m.reset(line).matches();
          line = reader.readLine()) {
        n++;
        if (Integer.parseInt(m.group(1)) != n) throw new IOException();
      }

      if (n == 0) throw new IOException();

      final List<Object> atoms = new ArrayList<Object>(n * 2);
      for (int i = 0; i < n; i++) {
        atoms.add("Q" + i);
      }

      for (int i = 0; i < n; i++) {
        atoms.add(Integer.valueOf(i));
      }

      final Universe u = new Universe(atoms);
      final Bounds b = new Bounds(u);
      final TupleFactory f = u.factory();

      final TupleSet qbound = f.range(f.tuple("Q0"), f.tuple("Q" + (n - 1)));
      final TupleSet nbound = f.range(f.tuple(Integer.valueOf(0)), f.tuple(Integer.valueOf(n - 1)));

      b.boundExactly(queen, qbound);
      b.boundExactly(num, nbound);
      b.bound(x, qbound.product(nbound));
      b.bound(y, qbound.product(nbound));

      final TupleSet obound = f.noneOf(2);
      for (int i = 1; i < n; i++) {
        obound.add(f.tuple((Object) Integer.valueOf(i - 1), Integer.valueOf(i)));
      }

      b.boundExactly(ord, obound);

      for (int i = 0; i < n; i++) {
        b.boundExactly(i, f.setOf(Integer.valueOf(i)));
      }

      // extract the partial instance for the grid
      final TupleSet blocks = f.noneOf(2);

      for (m.usePattern(bp); line != null && m.reset(line).matches(); line = reader.readLine()) {
        Integer i = Integer.parseInt(m.group(1)) - 1;
        Integer j = Integer.parseInt(m.group(2)) - 1;

        if (i < 0 || i >= n || j < 0 || j >= n) throw new IOException();

        blocks.add(f.tuple((Object) i, j));
      }

      if (line != null) throw new IOException();

      b.boundExactly(blocked, blocks);

      return b;

    } catch (FileNotFoundException e) {
      System.out.println("Could not find " + file);
      usage();
    } catch (IOException e) {
      System.out.println("Badly formatted file: " + file);
      usage();
    } catch (NumberFormatException e) {
      System.out.println("Badly formatted file: " + file);
      usage();
    }

    return null;
  }
  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));

  }
  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/Test");
    Relation x7 = Relation.nary("this/Test.weight", 2);
    Relation x8 = Relation.nary("this/Test.x", 2);
    Relation x9 = Relation.nary("this/Test.y", 2);

    List<String> atomlist =
        Arrays.asList(
            "-1", "-2", "-3", "-4", "-5", "-6", "-7", "-8", "0", "1", "2", "3", "4", "5", "6", "7",
            "Test$0", "Test$1", "Test$2");

    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"));
    x4_upper.add(factory.tuple("3"));
    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("Test$0"));
    x6_upper.add(factory.tuple("Test$1"));
    x6_upper.add(factory.tuple("Test$2"));
    bounds.boundExactly(x6, x6_upper);

    TupleSet x7_upper = factory.noneOf(2);
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("-8")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("-7")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("-6")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("-5")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("-4")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("-3")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("-2")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("-1")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("0")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("1")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("2")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("3")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("4")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("5")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("6")));
    x7_upper.add(factory.tuple("Test$0").product(factory.tuple("7")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("-8")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("-7")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("-6")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("-5")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("-4")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("-3")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("-2")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("-1")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("0")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("1")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("2")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("3")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("4")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("5")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("6")));
    x7_upper.add(factory.tuple("Test$1").product(factory.tuple("7")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("-8")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("-7")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("-6")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("-5")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("-4")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("-3")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("-2")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("-1")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("0")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("1")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("2")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("3")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("4")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("5")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("6")));
    x7_upper.add(factory.tuple("Test$2").product(factory.tuple("7")));
    bounds.bound(x7, x7_upper);

    TupleSet x8_upper = factory.noneOf(2);
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("-8")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("-7")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("-6")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("-5")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("-4")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("-3")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("-2")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("-1")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("0")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("1")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("2")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("3")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("4")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("5")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("6")));
    x8_upper.add(factory.tuple("Test$0").product(factory.tuple("7")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("-8")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("-7")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("-6")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("-5")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("-4")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("-3")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("-2")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("-1")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("0")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("1")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("2")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("3")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("4")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("5")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("6")));
    x8_upper.add(factory.tuple("Test$1").product(factory.tuple("7")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("-8")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("-7")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("-6")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("-5")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("-4")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("-3")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("-2")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("-1")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("0")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("1")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("2")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("3")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("4")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("5")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("6")));
    x8_upper.add(factory.tuple("Test$2").product(factory.tuple("7")));
    bounds.bound(x8, x8_upper);

    TupleSet x9_upper = factory.noneOf(2);
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("-8")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("-7")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("-6")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("-5")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("-4")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("-3")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("-2")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("-1")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("0")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("1")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("2")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("3")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("4")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("5")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("6")));
    x9_upper.add(factory.tuple("Test$0").product(factory.tuple("7")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("-8")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("-7")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("-6")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("-5")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("-4")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("-3")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("-2")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("-1")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("0")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("1")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("2")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("3")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("4")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("5")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("6")));
    x9_upper.add(factory.tuple("Test$1").product(factory.tuple("7")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("-8")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("-7")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("-6")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("-5")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("-4")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("-3")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("-2")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("-1")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("0")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("1")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("2")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("3")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("4")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("5")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("6")));
    x9_upper.add(factory.tuple("Test$2").product(factory.tuple("7")));
    bounds.bound(x9, x9_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 x13 = Variable.unary("this");
    Decls x12 = x13.oneOf(x6);
    Expression x16 = x13.join(x7);
    Formula x15 = x16.one();
    Formula x17 = x16.in(Expression.INTS);
    Formula x14 = x15.and(x17);
    Formula x11 = x14.forAll(x12);
    Expression x20 = x7.join(Expression.UNIV);
    Formula x19 = x20.in(x6);
    Variable x24 = Variable.unary("this");
    Decls x23 = x24.oneOf(x6);
    Expression x27 = x24.join(x8);
    Formula x26 = x27.lone();
    Formula x28 = x27.in(Expression.INTS);
    Formula x25 = x26.and(x28);
    Formula x22 = x25.forAll(x23);
    Expression x30 = x8.join(Expression.UNIV);
    Formula x29 = x30.in(x6);
    Variable x33 = Variable.unary("this");
    Decls x32 = x33.oneOf(x6);
    Expression x36 = x33.join(x9);
    Formula x35 = x36.one();
    Formula x37 = x36.in(Expression.INTS);
    Formula x34 = x35.and(x37);
    Formula x31 = x34.forAll(x32);
    Expression x39 = x9.join(Expression.UNIV);
    Formula x38 = x39.in(x6);
    Variable x42 = Variable.unary("this");
    Decls x41 = x42.oneOf(x6);
    Expression x44 = x42.join(x7);
    Expression x48 = x42.join(x8);
    IntExpression x47 = x48.sum();
    Expression x50 = x42.join(x9);
    IntExpression x49 = x50.sum();
    IntExpression x46 = x47.plus(x49);
    Expression x45 = x46.toExpression();
    Formula x43 = x44.eq(x45);
    Formula x40 = x43.forAll(x41);
    Formula x51 = x0.eq(x0);
    Formula x52 = x1.eq(x1);
    Formula x53 = x2.eq(x2);
    Formula x54 = x3.eq(x3);
    Formula x55 = x4.eq(x4);
    Formula x56 = x5.eq(x5);
    Formula x57 = x6.eq(x6);
    Formula x58 = x7.eq(x7);
    Formula x59 = x8.eq(x8);
    Formula x60 = x9.eq(x9);
    IntExprReduction ier = new IntExprReduction();
    Formula[] formulas =
        ier.reduceIntExpressions(
            x11, x19, x22, x29, x31, x38, x40, x51, x52, x53, x54, x55, x56, x57, x58, x59, x60);
    Formula newFormula = Formula.compose(FormulaOperator.AND, formulas);
    ier.solve(newFormula, bounds, factory, universe, 32);
  }
Example #10
0
 /**
  * Create a {@link TupleSet} by specifying a range for each position of the tuple. See the
  * documentation of this class.
  *
  * <p>Both parameters should have the same length, the arity of the relation.
  *
  * @return a {@link TupleSet}, never <code>null</code>
  */
 public TupleSet createAllTuples(final Universe universe) {
   final TupleFactory factory = universe.factory();
   final Tuple lowerTuple = factory.tuple(lower);
   final Tuple upperTuple = factory.tuple(upper);
   return factory.area(lowerTuple, upperTuple);
 }