Z3
Public Member Functions | Data Fields
Goal Class Reference
+ Inheritance diagram for Goal:

Public Member Functions

def __init__
 
def __del__ (self)
 
def depth (self)
 
def inconsistent (self)
 
def prec (self)
 
def precision (self)
 
def size (self)
 
def __len__ (self)
 
def get (self, i)
 
def __getitem__ (self, arg)
 
def assert_exprs (self, args)
 
def append (self, args)
 
def insert (self, args)
 
def add (self, args)
 
def convert_model (self, model)
 
def __repr__ (self)
 
def sexpr (self)
 
def dimacs
 
def translate (self, target)
 
def __copy__ (self)
 
def __deepcopy__
 
def simplify (self, arguments, keywords)
 
def as_expr (self)
 
- Public Member Functions inherited from Z3PPObject
def use_pp (self)
 

Data Fields

 ctx
 
 goal
 

Detailed Description

Goal is a collection of constraints we want to find a solution or show to be unsatisfiable (infeasible).

Goals are processed using Tactics. A Tactic transforms a goal into a set of subgoals.
A goal has a solution if one of its subgoals has a solution.
A goal is unsatisfiable if all subgoals are unsatisfiable.

Definition at line 5593 of file z3py.py.

Constructor & Destructor Documentation

def __init__ (   self,
  models = True,
  unsat_cores = False,
  proofs = False,
  ctx = None,
  goal = None 
)

Definition at line 5601 of file z3py.py.

5601  def __init__(self, models=True, unsat_cores=False, proofs=False, ctx=None, goal=None):
5602  if z3_debug():
5603  _z3_assert(goal is None or ctx is not None,
5604  "If goal is different from None, then ctx must be also different from None")
5605  self.ctx = _get_ctx(ctx)
5606  self.goal = goal
5607  if self.goal is None:
5608  self.goal = Z3_mk_goal(self.ctx.ref(), models, unsat_cores, proofs)
5609  Z3_goal_inc_ref(self.ctx.ref(), self.goal)
5610 
Z3_goal Z3_API Z3_mk_goal(Z3_context c, bool models, bool unsat_cores, bool proofs)
Create a goal (aka problem). A goal is essentially a set of formulas, that can be solved and/or trans...
def z3_debug()
Definition: z3py.py:62
void Z3_API Z3_goal_inc_ref(Z3_context c, Z3_goal g)
Increment the reference counter of the given goal.
def __init__
Definition: z3py.py:5601
def __del__ (   self)

Definition at line 5611 of file z3py.py.

5611  def __del__(self):
5612  if self.goal is not None and self.ctx.ref() is not None and Z3_goal_dec_ref is not None:
5613  Z3_goal_dec_ref(self.ctx.ref(), self.goal)
5614 
def __del__(self)
Definition: z3py.py:5611
void Z3_API Z3_goal_dec_ref(Z3_context c, Z3_goal g)
Decrement the reference counter of the given goal.

Member Function Documentation

def __copy__ (   self)

Definition at line 5846 of file z3py.py.

5846  def __copy__(self):
5847  return self.translate(self.ctx)
5848 
def translate(self, target)
Definition: z3py.py:5823
def __copy__(self)
Definition: z3py.py:5846
def __deepcopy__ (   self,
  memo = {} 
)

Definition at line 5849 of file z3py.py.

5849  def __deepcopy__(self, memo={}):
5850  return self.translate(self.ctx)
5851 
def translate(self, target)
Definition: z3py.py:5823
def __deepcopy__
Definition: z3py.py:5849
def __getitem__ (   self,
  arg 
)
Return a constraint in the goal `self`.

>>> g = Goal()
>>> x, y = Ints('x y')
>>> g.add(x == 0, y > x)
>>> g[0]
x == 0
>>> g[1]
y > x

Definition at line 5720 of file z3py.py.

5720  def __getitem__(self, arg):
5721  """Return a constraint in the goal `self`.
5722 
5723  >>> g = Goal()
5724  >>> x, y = Ints('x y')
5725  >>> g.add(x == 0, y > x)
5726  >>> g[0]
5727  x == 0
5728  >>> g[1]
5729  y > x
5730  """
5731  if arg >= len(self):
5732  raise IndexError
5733  return self.get(arg)
5734 
def get(self, i)
Definition: z3py.py:5707
def __getitem__(self, arg)
Definition: z3py.py:5720
def __len__ (   self)
Return the number of constraints in the goal `self`.

>>> g = Goal()
>>> len(g)
0
>>> x, y = Ints('x y')
>>> g.add(x == 0, y > x)
>>> len(g)
2

Definition at line 5694 of file z3py.py.

Referenced by AstVector.__getitem__(), and AstVector.__setitem__().

5694  def __len__(self):
5695  """Return the number of constraints in the goal `self`.
5696 
5697  >>> g = Goal()
5698  >>> len(g)
5699  0
5700  >>> x, y = Ints('x y')
5701  >>> g.add(x == 0, y > x)
5702  >>> len(g)
5703  2
5704  """
5705  return self.size()
5706 
def size(self)
Definition: z3py.py:5681
def __len__(self)
Definition: z3py.py:5694
def __repr__ (   self)

Definition at line 5812 of file z3py.py.

5812  def __repr__(self):
5813  return obj_to_string(self)
5814 
def __repr__(self)
Definition: z3py.py:5812
def add (   self,
  args 
)
Add constraints.

>>> x = Int('x')
>>> g = Goal()
>>> g.add(x > 0, x < 2)
>>> g
[x > 0, x < 2]

Definition at line 5772 of file z3py.py.

Referenced by Fixedpoint.__iadd__(), and Optimize.__iadd__().

5772  def add(self, *args):
5773  """Add constraints.
5774 
5775  >>> x = Int('x')
5776  >>> g = Goal()
5777  >>> g.add(x > 0, x < 2)
5778  >>> g
5779  [x > 0, x < 2]
5780  """
5781  self.assert_exprs(*args)
5782 
def add(self, args)
Definition: z3py.py:5772
def assert_exprs(self, args)
Definition: z3py.py:5735
def append (   self,
  args 
)
Add constraints.

>>> x = Int('x')
>>> g = Goal()
>>> g.append(x > 0, x < 2)
>>> g
[x > 0, x < 2]

Definition at line 5750 of file z3py.py.

5750  def append(self, *args):
5751  """Add constraints.
5752 
5753  >>> x = Int('x')
5754  >>> g = Goal()
5755  >>> g.append(x > 0, x < 2)
5756  >>> g
5757  [x > 0, x < 2]
5758  """
5759  self.assert_exprs(*args)
5760 
def append(self, args)
Definition: z3py.py:5750
def assert_exprs(self, args)
Definition: z3py.py:5735
def as_expr (   self)
Return goal `self` as a single Z3 expression.

>>> x = Int('x')
>>> g = Goal()
>>> g.as_expr()
True
>>> g.add(x > 1)
>>> g.as_expr()
x > 1
>>> g.add(x < 10)
>>> g.as_expr()
And(x > 1, x < 10)

Definition at line 5872 of file z3py.py.

5872  def as_expr(self):
5873  """Return goal `self` as a single Z3 expression.
5874 
5875  >>> x = Int('x')
5876  >>> g = Goal()
5877  >>> g.as_expr()
5878  True
5879  >>> g.add(x > 1)
5880  >>> g.as_expr()
5881  x > 1
5882  >>> g.add(x < 10)
5883  >>> g.as_expr()
5884  And(x > 1, x < 10)
5885  """
5886  sz = len(self)
5887  if sz == 0:
5888  return BoolVal(True, self.ctx)
5889  elif sz == 1:
5890  return self.get(0)
5891  else:
5892  return And([self.get(i) for i in range(len(self))], self.ctx)
5893 
def BoolVal
Definition: z3py.py:1749
expr range(expr const &lo, expr const &hi)
Definition: z3++.h:4085
def And(args)
Definition: z3py.py:1889
def get(self, i)
Definition: z3py.py:5707
def as_expr(self)
Definition: z3py.py:5872
def assert_exprs (   self,
  args 
)
Assert constraints into the goal.

>>> x = Int('x')
>>> g = Goal()
>>> g.assert_exprs(x > 0, x < 2)
>>> g
[x > 0, x < 2]

Definition at line 5735 of file z3py.py.

Referenced by Goal.add(), Fixedpoint.add(), Optimize.add(), Goal.append(), Fixedpoint.append(), and Fixedpoint.insert().

5735  def assert_exprs(self, *args):
5736  """Assert constraints into the goal.
5737 
5738  >>> x = Int('x')
5739  >>> g = Goal()
5740  >>> g.assert_exprs(x > 0, x < 2)
5741  >>> g
5742  [x > 0, x < 2]
5743  """
5744  args = _get_args(args)
5745  s = BoolSort(self.ctx)
5746  for arg in args:
5747  arg = s.cast(arg)
5748  Z3_goal_assert(self.ctx.ref(), self.goal, arg.as_ast())
5749 
def BoolSort
Definition: z3py.py:1731
def assert_exprs(self, args)
Definition: z3py.py:5735
void Z3_API Z3_goal_assert(Z3_context c, Z3_goal g, Z3_ast a)
Add a new formula a to the given goal. The formula is split according to the following procedure that...
def convert_model (   self,
  model 
)
Retrieve model from a satisfiable goal
>>> a, b = Ints('a b')
>>> g = Goal()
>>> g.add(Or(a == 0, a == 1), Or(b == 0, b == 1), a > b)
>>> t = Then(Tactic('split-clause'), Tactic('solve-eqs'))
>>> r = t(g)
>>> r[0]
[Or(b == 0, b == 1), Not(0 <= b)]
>>> r[1]
[Or(b == 0, b == 1), Not(1 <= b)]
>>> # Remark: the subgoal r[0] is unsatisfiable
>>> # Creating a solver for solving the second subgoal
>>> s = Solver()
>>> s.add(r[1])
>>> s.check()
sat
>>> s.model()
[b = 0]
>>> # Model s.model() does not assign a value to `a`
>>> # It is a model for subgoal `r[1]`, but not for goal `g`
>>> # The method convert_model creates a model for `g` from a model for `r[1]`.
>>> r[1].convert_model(s.model())
[b = 0, a = 1]

Definition at line 5783 of file z3py.py.

5783  def convert_model(self, model):
5784  """Retrieve model from a satisfiable goal
5785  >>> a, b = Ints('a b')
5786  >>> g = Goal()
5787  >>> g.add(Or(a == 0, a == 1), Or(b == 0, b == 1), a > b)
5788  >>> t = Then(Tactic('split-clause'), Tactic('solve-eqs'))
5789  >>> r = t(g)
5790  >>> r[0]
5791  [Or(b == 0, b == 1), Not(0 <= b)]
5792  >>> r[1]
5793  [Or(b == 0, b == 1), Not(1 <= b)]
5794  >>> # Remark: the subgoal r[0] is unsatisfiable
5795  >>> # Creating a solver for solving the second subgoal
5796  >>> s = Solver()
5797  >>> s.add(r[1])
5798  >>> s.check()
5799  sat
5800  >>> s.model()
5801  [b = 0]
5802  >>> # Model s.model() does not assign a value to `a`
5803  >>> # It is a model for subgoal `r[1]`, but not for goal `g`
5804  >>> # The method convert_model creates a model for `g` from a model for `r[1]`.
5805  >>> r[1].convert_model(s.model())
5806  [b = 0, a = 1]
5807  """
5808  if z3_debug():
5809  _z3_assert(isinstance(model, ModelRef), "Z3 Model expected")
5810  return ModelRef(Z3_goal_convert_model(self.ctx.ref(), self.goal, model.model), self.ctx)
5811 
Z3_model Z3_API Z3_goal_convert_model(Z3_context c, Z3_goal g, Z3_model m)
Convert a model of the formulas of a goal to a model of an original goal. The model may be null...
def convert_model(self, model)
Definition: z3py.py:5783
def z3_debug()
Definition: z3py.py:62
def depth (   self)
Return the depth of the goal `self`.
The depth corresponds to the number of tactics applied to `self`.

>>> x, y = Ints('x y')
>>> g = Goal()
>>> g.add(x == 0, y >= x + 1)
>>> g.depth()
0
>>> r = Then('simplify', 'solve-eqs')(g)
>>> # r has 1 subgoal
>>> len(r)
1
>>> r[0].depth()
2

Definition at line 5615 of file z3py.py.

5615  def depth(self):
5616  """Return the depth of the goal `self`.
5617  The depth corresponds to the number of tactics applied to `self`.
5618 
5619  >>> x, y = Ints('x y')
5620  >>> g = Goal()
5621  >>> g.add(x == 0, y >= x + 1)
5622  >>> g.depth()
5623  0
5624  >>> r = Then('simplify', 'solve-eqs')(g)
5625  >>> # r has 1 subgoal
5626  >>> len(r)
5627  1
5628  >>> r[0].depth()
5629  2
5630  """
5631  return int(Z3_goal_depth(self.ctx.ref(), self.goal))
5632 
unsigned Z3_API Z3_goal_depth(Z3_context c, Z3_goal g)
Return the depth of the given goal. It tracks how many transformations were applied to it...
def depth(self)
Definition: z3py.py:5615
def dimacs (   self,
  include_names = True 
)
Return a textual representation of the goal in DIMACS format.

Definition at line 5819 of file z3py.py.

5819  def dimacs(self, include_names=True):
5820  """Return a textual representation of the goal in DIMACS format."""
5821  return Z3_goal_to_dimacs_string(self.ctx.ref(), self.goal, include_names)
5822 
Z3_string Z3_API Z3_goal_to_dimacs_string(Z3_context c, Z3_goal g, bool include_names)
Convert a goal into a DIMACS formatted string. The goal must be in CNF. You can convert a goal to CNF...
def dimacs
Definition: z3py.py:5819
def get (   self,
  i 
)
Return a constraint in the goal `self`.

>>> g = Goal()
>>> x, y = Ints('x y')
>>> g.add(x == 0, y > x)
>>> g.get(0)
x == 0
>>> g.get(1)
y > x

Definition at line 5707 of file z3py.py.

Referenced by Goal.__getitem__(), and Goal.as_expr().

5707  def get(self, i):
5708  """Return a constraint in the goal `self`.
5709 
5710  >>> g = Goal()
5711  >>> x, y = Ints('x y')
5712  >>> g.add(x == 0, y > x)
5713  >>> g.get(0)
5714  x == 0
5715  >>> g.get(1)
5716  y > x
5717  """
5718  return _to_expr_ref(Z3_goal_formula(self.ctx.ref(), self.goal, i), self.ctx)
5719 
def get(self, i)
Definition: z3py.py:5707
Z3_ast Z3_API Z3_goal_formula(Z3_context c, Z3_goal g, unsigned idx)
Return a formula from the given goal.
def inconsistent (   self)
Return `True` if `self` contains the `False` constraints.

>>> x, y = Ints('x y')
>>> g = Goal()
>>> g.inconsistent()
False
>>> g.add(x == 0, x == 1)
>>> g
[x == 0, x == 1]
>>> g.inconsistent()
False
>>> g2 = Tactic('propagate-values')(g)[0]
>>> g2.inconsistent()
True

Definition at line 5633 of file z3py.py.

5633  def inconsistent(self):
5634  """Return `True` if `self` contains the `False` constraints.
5635 
5636  >>> x, y = Ints('x y')
5637  >>> g = Goal()
5638  >>> g.inconsistent()
5639  False
5640  >>> g.add(x == 0, x == 1)
5641  >>> g
5642  [x == 0, x == 1]
5643  >>> g.inconsistent()
5644  False
5645  >>> g2 = Tactic('propagate-values')(g)[0]
5646  >>> g2.inconsistent()
5647  True
5648  """
5649  return Z3_goal_inconsistent(self.ctx.ref(), self.goal)
5650 
bool Z3_API Z3_goal_inconsistent(Z3_context c, Z3_goal g)
Return true if the given goal contains the formula false.
def inconsistent(self)
Definition: z3py.py:5633
def insert (   self,
  args 
)
Add constraints.

>>> x = Int('x')
>>> g = Goal()
>>> g.insert(x > 0, x < 2)
>>> g
[x > 0, x < 2]

Definition at line 5761 of file z3py.py.

5761  def insert(self, *args):
5762  """Add constraints.
5763 
5764  >>> x = Int('x')
5765  >>> g = Goal()
5766  >>> g.insert(x > 0, x < 2)
5767  >>> g
5768  [x > 0, x < 2]
5769  """
5770  self.assert_exprs(*args)
5771 
def insert(self, args)
Definition: z3py.py:5761
def assert_exprs(self, args)
Definition: z3py.py:5735
def prec (   self)
Return the precision (under-approximation, over-approximation, or precise) of the goal `self`.

>>> g = Goal()
>>> g.prec() == Z3_GOAL_PRECISE
True
>>> x, y = Ints('x y')
>>> g.add(x == y + 1)
>>> g.prec() == Z3_GOAL_PRECISE
True
>>> t  = With(Tactic('add-bounds'), add_bound_lower=0, add_bound_upper=10)
>>> g2 = t(g)[0]
>>> g2
[x == y + 1, x <= 10, x >= 0, y <= 10, y >= 0]
>>> g2.prec() == Z3_GOAL_PRECISE
False
>>> g2.prec() == Z3_GOAL_UNDER
True

Definition at line 5651 of file z3py.py.

Referenced by Goal.precision().

5651  def prec(self):
5652  """Return the precision (under-approximation, over-approximation, or precise) of the goal `self`.
5653 
5654  >>> g = Goal()
5655  >>> g.prec() == Z3_GOAL_PRECISE
5656  True
5657  >>> x, y = Ints('x y')
5658  >>> g.add(x == y + 1)
5659  >>> g.prec() == Z3_GOAL_PRECISE
5660  True
5661  >>> t = With(Tactic('add-bounds'), add_bound_lower=0, add_bound_upper=10)
5662  >>> g2 = t(g)[0]
5663  >>> g2
5664  [x == y + 1, x <= 10, x >= 0, y <= 10, y >= 0]
5665  >>> g2.prec() == Z3_GOAL_PRECISE
5666  False
5667  >>> g2.prec() == Z3_GOAL_UNDER
5668  True
5669  """
5670  return Z3_goal_precision(self.ctx.ref(), self.goal)
5671 
def prec(self)
Definition: z3py.py:5651
Z3_goal_prec Z3_API Z3_goal_precision(Z3_context c, Z3_goal g)
Return the "precision" of the given goal. Goals can be transformed using over and under approximation...
def precision (   self)
Alias for `prec()`.

>>> g = Goal()
>>> g.precision() == Z3_GOAL_PRECISE
True

Definition at line 5672 of file z3py.py.

5672  def precision(self):
5673  """Alias for `prec()`.
5674 
5675  >>> g = Goal()
5676  >>> g.precision() == Z3_GOAL_PRECISE
5677  True
5678  """
5679  return self.prec()
5680 
def prec(self)
Definition: z3py.py:5651
def precision(self)
Definition: z3py.py:5672
def sexpr (   self)
Return a textual representation of the s-expression representing the goal.

Definition at line 5815 of file z3py.py.

Referenced by Fixedpoint.__repr__(), and Optimize.__repr__().

5815  def sexpr(self):
5816  """Return a textual representation of the s-expression representing the goal."""
5817  return Z3_goal_to_string(self.ctx.ref(), self.goal)
5818 
def sexpr(self)
Definition: z3py.py:5815
Z3_string Z3_API Z3_goal_to_string(Z3_context c, Z3_goal g)
Convert a goal into a string.
def simplify (   self,
  arguments,
  keywords 
)
Return a new simplified goal.

This method is essentially invoking the simplify tactic.

>>> g = Goal()
>>> x = Int('x')
>>> g.add(x + 1 >= 2)
>>> g
[x + 1 >= 2]
>>> g2 = g.simplify()
>>> g2
[x >= 1]
>>> # g was not modified
>>> g
[x + 1 >= 2]

Definition at line 5852 of file z3py.py.

5852  def simplify(self, *arguments, **keywords):
5853  """Return a new simplified goal.
5854 
5855  This method is essentially invoking the simplify tactic.
5856 
5857  >>> g = Goal()
5858  >>> x = Int('x')
5859  >>> g.add(x + 1 >= 2)
5860  >>> g
5861  [x + 1 >= 2]
5862  >>> g2 = g.simplify()
5863  >>> g2
5864  [x >= 1]
5865  >>> # g was not modified
5866  >>> g
5867  [x + 1 >= 2]
5868  """
5869  t = Tactic("simplify")
5870  return t.apply(self, *arguments, **keywords)[0]
5871 
def simplify(self, arguments, keywords)
Definition: z3py.py:5852
def size (   self)
Return the number of constraints in the goal `self`.

>>> g = Goal()
>>> g.size()
0
>>> x, y = Ints('x y')
>>> g.add(x == 0, y > x)
>>> g.size()
2

Definition at line 5681 of file z3py.py.

Referenced by Goal.__len__().

5681  def size(self):
5682  """Return the number of constraints in the goal `self`.
5683 
5684  >>> g = Goal()
5685  >>> g.size()
5686  0
5687  >>> x, y = Ints('x y')
5688  >>> g.add(x == 0, y > x)
5689  >>> g.size()
5690  2
5691  """
5692  return int(Z3_goal_size(self.ctx.ref(), self.goal))
5693 
def size(self)
Definition: z3py.py:5681
unsigned Z3_API Z3_goal_size(Z3_context c, Z3_goal g)
Return the number of formulas in the given goal.
def translate (   self,
  target 
)
Copy goal `self` to context `target`.

>>> x = Int('x')
>>> g = Goal()
>>> g.add(x > 10)
>>> g
[x > 10]
>>> c2 = Context()
>>> g2 = g.translate(c2)
>>> g2
[x > 10]
>>> g.ctx == main_ctx()
True
>>> g2.ctx == c2
True
>>> g2.ctx == main_ctx()
False

Definition at line 5823 of file z3py.py.

Referenced by Goal.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), Goal.__deepcopy__(), AstVector.__deepcopy__(), and FuncInterp.__deepcopy__().

5823  def translate(self, target):
5824  """Copy goal `self` to context `target`.
5825 
5826  >>> x = Int('x')
5827  >>> g = Goal()
5828  >>> g.add(x > 10)
5829  >>> g
5830  [x > 10]
5831  >>> c2 = Context()
5832  >>> g2 = g.translate(c2)
5833  >>> g2
5834  [x > 10]
5835  >>> g.ctx == main_ctx()
5836  True
5837  >>> g2.ctx == c2
5838  True
5839  >>> g2.ctx == main_ctx()
5840  False
5841  """
5842  if z3_debug():
5843  _z3_assert(isinstance(target, Context), "target must be a context")
5844  return Goal(goal=Z3_goal_translate(self.ctx.ref(), self.goal, target.ref()), ctx=target)
5845 
def translate(self, target)
Definition: z3py.py:5823
Z3_goal Z3_API Z3_goal_translate(Z3_context source, Z3_goal g, Z3_context target)
Copy a goal g from the context source to the context target.
def z3_debug()
Definition: z3py.py:62

Field Documentation

ctx

Definition at line 5605 of file z3py.py.

Referenced by Goal.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), Goal.__deepcopy__(), AstVector.__deepcopy__(), AstMap.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), Fixedpoint.__deepcopy__(), Optimize.__deepcopy__(), ApplyResult.__deepcopy__(), Simplifier.__deepcopy__(), Tactic.__deepcopy__(), Probe.__deepcopy__(), Probe.__eq__(), Probe.__ge__(), AstVector.__getitem__(), AstMap.__getitem__(), ApplyResult.__getitem__(), Probe.__gt__(), Probe.__le__(), Probe.__lt__(), Probe.__ne__(), Simplifier.add(), Fixedpoint.add_rule(), Optimize.add_soft(), Tactic.apply(), FuncEntry.arg_value(), Goal.as_expr(), ApplyResult.as_expr(), Optimize.assert_and_track(), Goal.assert_exprs(), Fixedpoint.assert_exprs(), Optimize.assert_exprs(), Optimize.assertions(), Goal.convert_model(), FuncInterp.else_value(), FuncInterp.entry(), ParserContext.from_string(), Goal.get(), Fixedpoint.get_answer(), Fixedpoint.get_assertions(), Fixedpoint.get_cover_delta(), Fixedpoint.get_ground_sat_answer(), Fixedpoint.get_rule_names_along_trace(), Fixedpoint.get_rules(), Fixedpoint.get_rules_along_trace(), AstMap.keys(), Optimize.model(), Optimize.objectives(), Fixedpoint.param_descrs(), Optimize.param_descrs(), Simplifier.param_descrs(), Tactic.param_descrs(), Fixedpoint.parse_file(), Fixedpoint.parse_string(), Fixedpoint.query(), Fixedpoint.set(), Optimize.set(), Optimize.set_on_model(), Tactic.solver(), Fixedpoint.statistics(), Optimize.statistics(), Solver.to_smt2(), Optimize.unsat_core(), Fixedpoint.update_rule(), Simplifier.using_params(), and FuncEntry.value().

goal