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

Public Member Functions

def __init__ (self, ast, ctx=None)
 
def __del__ (self)
 
def __deepcopy__ (self, memo={})
 
def __str__ (self)
 
def __repr__ (self)
 
def __eq__ (self, other)
 
def __hash__ (self)
 
def __nonzero__ (self)
 
def __bool__ (self)
 
def sexpr (self)
 
def as_ast (self)
 
def get_id (self)
 
def ctx_ref (self)
 
def eq (self, other)
 
def translate (self, target)
 
def __copy__ (self)
 
def hash (self)
 
- Public Member Functions inherited from Z3PPObject
def use_pp (self)
 

Data Fields

 ast
 
 ctx
 

Detailed Description

AST are Direct Acyclic Graphs (DAGs) used to represent sorts, declarations and expressions.

Definition at line 341 of file z3py.py.

Constructor & Destructor Documentation

◆ __init__()

def __init__ (   self,
  ast,
  ctx = None 
)

Definition at line 344 of file z3py.py.

344 def __init__(self, ast, ctx=None):
345 self.ast = ast
346 self.ctx = _get_ctx(ctx)
347 Z3_inc_ref(self.ctx.ref(), self.as_ast())
348
void Z3_API Z3_inc_ref(Z3_context c, Z3_ast a)
Increment the reference counter of the given AST. The context c should have been created using Z3_mk_...

◆ __del__()

def __del__ (   self)

Definition at line 349 of file z3py.py.

349 def __del__(self):
350 if self.ctx.ref() is not None and self.ast is not None:
351 Z3_dec_ref(self.ctx.ref(), self.as_ast())
352 self.ast = None
353
void Z3_API Z3_dec_ref(Z3_context c, Z3_ast a)
Decrement the reference counter of the given AST. The context c should have been created using Z3_mk_...

Member Function Documentation

◆ __bool__()

def __bool__ (   self)

Definition at line 372 of file z3py.py.

372 def __bool__(self):
373 if is_true(self):
374 return True
375 elif is_false(self):
376 return False
377 elif is_eq(self) and self.num_args() == 2:
378 return self.arg(0).eq(self.arg(1))
379 else:
380 raise Z3Exception("Symbolic expressions cannot be cast to concrete Boolean values.")
381
def is_false(a)
Definition: z3py.py:1571
def is_eq(a)
Definition: z3py.py:1633
def eq(a, b)
Definition: z3py.py:471
def is_true(a)
Definition: z3py.py:1553

Referenced by AstRef.__nonzero__().

◆ __copy__()

def __copy__ (   self)

Definition at line 436 of file z3py.py.

436 def __copy__(self):
437 return self.translate(self.ctx)
438

◆ __deepcopy__()

def __deepcopy__ (   self,
  memo = {} 
)

Definition at line 354 of file z3py.py.

354 def __deepcopy__(self, memo={}):
355 return _to_ast_ref(self.ast, self.ctx)
356

◆ __eq__()

def __eq__ (   self,
  other 
)

Reimplemented in SortRef, and ExprRef.

Definition at line 363 of file z3py.py.

363 def __eq__(self, other):
364 return self.eq(other)
365

Referenced by CheckSatResult.__ne__(), and Probe.__ne__().

◆ __hash__()

def __hash__ (   self)

Reimplemented in SortRef, and ExprRef.

Definition at line 366 of file z3py.py.

366 def __hash__(self):
367 return self.hash()
368

◆ __nonzero__()

def __nonzero__ (   self)

Definition at line 369 of file z3py.py.

369 def __nonzero__(self):
370 return self.__bool__()
371

◆ __repr__()

def __repr__ (   self)

Definition at line 360 of file z3py.py.

360 def __repr__(self):
361 return obj_to_string(self)
362

◆ __str__()

def __str__ (   self)

Definition at line 357 of file z3py.py.

357 def __str__(self):
358 return obj_to_string(self)
359

◆ as_ast()

def as_ast (   self)
Return a pointer to the corresponding C Z3_ast object.

Reimplemented in SortRef, FuncDeclRef, ExprRef, PatternRef, and QuantifierRef.

Definition at line 391 of file z3py.py.

391 def as_ast(self):
392 """Return a pointer to the corresponding C Z3_ast object."""
393 return self.ast
394

Referenced by AstRef.__del__(), SeqRef.__ge__(), QuantifierRef.__getitem__(), ArrayRef.__getitem__(), SeqRef.__getitem__(), SeqRef.__gt__(), BitVecRef.__invert__(), SeqRef.__le__(), SeqRef.__lt__(), ArithRef.__neg__(), BitVecRef.__neg__(), AlgebraicNumRef.approx(), ExprRef.arg(), IntNumRef.as_binary_string(), BitVecNumRef.as_binary_string(), RatNumRef.as_decimal(), AlgebraicNumRef.as_decimal(), IntNumRef.as_string(), RatNumRef.as_string(), BitVecNumRef.as_string(), FiniteDomainRef.as_string(), FiniteDomainNumRef.as_string(), FPRef.as_string(), FPRMRef.as_string(), FPNumRef.as_string(), SeqRef.as_string(), SeqRef.at(), ExprRef.decl(), ArrayRef.default(), RatNumRef.denominator(), AstRef.eq(), FPNumRef.exponent(), FPNumRef.exponent_as_bv(), FPNumRef.exponent_as_long(), AstRef.get_id(), SortRef.get_id(), FuncDeclRef.get_id(), ExprRef.get_id(), PatternRef.get_id(), QuantifierRef.get_id(), AstRef.hash(), AlgebraicNumRef.index(), SeqRef.is_string(), SeqRef.is_string_value(), FPNumRef.isInf(), FPNumRef.isNaN(), FPNumRef.isNegative(), FPNumRef.isNormal(), FPNumRef.isPositive(), FPNumRef.isSubnormal(), FPNumRef.isZero(), ExprRef.num_args(), RatNumRef.numerator(), AlgebraicNumRef.poly(), AstRef.sexpr(), FPNumRef.sign(), FPNumRef.sign_as_bv(), FPNumRef.significand(), FPNumRef.significand_as_bv(), FPNumRef.significand_as_long(), ExprRef.sort(), BoolRef.sort(), QuantifierRef.sort(), ArithRef.sort(), BitVecRef.sort(), ArrayRef.sort(), DatatypeRef.sort(), FiniteDomainRef.sort(), FPRef.sort(), SeqRef.sort(), and AstRef.translate().

◆ ctx_ref()

def ctx_ref (   self)
Return a reference to the C context where this AST node is stored.

Definition at line 399 of file z3py.py.

399 def ctx_ref(self):
400 """Return a reference to the C context where this AST node is stored."""
401 return self.ctx.ref()
402

Referenced by BitVecRef.__add__(), BitVecRef.__and__(), FuncDeclRef.__call__(), ArithRef.__div__(), BitVecRef.__div__(), SortRef.__eq__(), ExprRef.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), SeqRef.__ge__(), QuantifierRef.__getitem__(), ArrayRef.__getitem__(), SeqRef.__getitem__(), ArithRef.__gt__(), BitVecRef.__gt__(), SeqRef.__gt__(), BitVecRef.__invert__(), ArithRef.__le__(), BitVecRef.__le__(), SeqRef.__le__(), BitVecRef.__lshift__(), ArithRef.__lt__(), BitVecRef.__lt__(), SeqRef.__lt__(), ArithRef.__mod__(), BitVecRef.__mod__(), BitVecRef.__mul__(), SortRef.__ne__(), ExprRef.__ne__(), ArithRef.__neg__(), BitVecRef.__neg__(), BitVecRef.__or__(), ArithRef.__pow__(), BitVecRef.__radd__(), BitVecRef.__rand__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), BitVecRef.__rlshift__(), ArithRef.__rmod__(), BitVecRef.__rmod__(), BitVecRef.__rmul__(), BitVecRef.__ror__(), ArithRef.__rpow__(), BitVecRef.__rrshift__(), BitVecRef.__rshift__(), BitVecRef.__rsub__(), BitVecRef.__rxor__(), BitVecRef.__sub__(), BitVecRef.__xor__(), DatatypeSortRef.accessor(), UserPropagateBase.add(), UserPropagateBase.add_diseq(), UserPropagateBase.add_eq(), UserPropagateBase.add_final(), UserPropagateBase.add_fixed(), AlgebraicNumRef.approx(), ExprRef.arg(), FuncDeclRef.arity(), SortRef.as_ast(), FuncDeclRef.as_ast(), PatternRef.as_ast(), IntNumRef.as_binary_string(), BitVecNumRef.as_binary_string(), RatNumRef.as_decimal(), AlgebraicNumRef.as_decimal(), IntNumRef.as_string(), RatNumRef.as_string(), BitVecNumRef.as_string(), FiniteDomainRef.as_string(), FiniteDomainNumRef.as_string(), FPRef.as_string(), FPRMRef.as_string(), SeqRef.as_string(), SeqRef.at(), SeqSortRef.basis(), ReSortRef.basis(), QuantifierRef.body(), DatatypeSortRef.constructor(), ExprRef.decl(), ArrayRef.default(), RatNumRef.denominator(), ArraySortRef.domain(), FuncDeclRef.domain(), FPSortRef.ebits(), AstRef.eq(), AstRef.get_id(), SortRef.get_id(), FuncDeclRef.get_id(), ExprRef.get_id(), PatternRef.get_id(), QuantifierRef.get_id(), AstRef.hash(), AlgebraicNumRef.index(), QuantifierRef.is_exists(), QuantifierRef.is_forall(), QuantifierRef.is_lambda(), SeqSortRef.is_string(), SeqRef.is_string(), SeqRef.is_string_value(), FuncDeclRef.kind(), SortRef.name(), FuncDeclRef.name(), QuantifierRef.no_pattern(), ExprRef.num_args(), DatatypeSortRef.num_constructors(), QuantifierRef.num_no_patterns(), QuantifierRef.num_patterns(), QuantifierRef.num_vars(), RatNumRef.numerator(), FuncDeclRef.params(), QuantifierRef.pattern(), AlgebraicNumRef.poly(), FuncDeclRef.range(), ArraySortRef.range(), DatatypeSortRef.recognizer(), FPSortRef.sbits(), AstRef.sexpr(), BitVecSortRef.size(), FiniteDomainSortRef.size(), BoolRef.sort(), ArithRef.sort(), BitVecRef.sort(), ArrayRef.sort(), DatatypeRef.sort(), FiniteDomainRef.sort(), FPRef.sort(), SeqRef.sort(), QuantifierRef.var_name(), QuantifierRef.var_sort(), and QuantifierRef.weight().

◆ eq()

def eq (   self,
  other 
)
Return `True` if `self` and `other` are structurally identical.

>>> x = Int('x')
>>> n1 = x + 1
>>> n2 = 1 + x
>>> n1.eq(n2)
False
>>> n1 = simplify(n1)
>>> n2 = simplify(n2)
>>> n1.eq(n2)
True

Definition at line 403 of file z3py.py.

403 def eq(self, other):
404 """Return `True` if `self` and `other` are structurally identical.
405
406 >>> x = Int('x')
407 >>> n1 = x + 1
408 >>> n2 = 1 + x
409 >>> n1.eq(n2)
410 False
411 >>> n1 = simplify(n1)
412 >>> n2 = simplify(n2)
413 >>> n1.eq(n2)
414 True
415 """
416 if z3_debug():
417 _z3_assert(is_ast(other), "Z3 AST expected")
418 return Z3_is_eq_ast(self.ctx_ref(), self.as_ast(), other.as_ast())
419
def z3_debug()
Definition: z3py.py:64
def simplify(a, *arguments, **keywords)
Utils.
Definition: z3py.py:8645
def Int(name, ctx=None)
Definition: z3py.py:3210
def is_ast(a)
Definition: z3py.py:450
bool Z3_API Z3_is_eq_ast(Z3_context c, Z3_ast t1, Z3_ast t2)
Compare terms.

Referenced by AstRef.__bool__(), AstRef.__eq__(), UserPropagateBase.add_eq(), SortRef.cast(), BoolSortRef.cast(), and ExprRef.decl().

◆ get_id()

def get_id (   self)
Return unique identifier for object. It can be used for hash-tables and maps.

Reimplemented in SortRef, FuncDeclRef, ExprRef, PatternRef, and QuantifierRef.

Definition at line 395 of file z3py.py.

395 def get_id(self):
396 """Return unique identifier for object. It can be used for hash-tables and maps."""
397 return Z3_get_ast_id(self.ctx_ref(), self.as_ast())
398
unsigned Z3_API Z3_get_ast_id(Z3_context c, Z3_ast t)
Return a unique identifier for t. The identifier is unique up to structural equality....

◆ hash()

def hash (   self)
Return a hashcode for the `self`.

>>> n1 = simplify(Int('x') + 1)
>>> n2 = simplify(2 + Int('x') - 1)
>>> n1.hash() == n2.hash()
True

Definition at line 439 of file z3py.py.

439 def hash(self):
440 """Return a hashcode for the `self`.
441
442 >>> n1 = simplify(Int('x') + 1)
443 >>> n2 = simplify(2 + Int('x') - 1)
444 >>> n1.hash() == n2.hash()
445 True
446 """
447 return Z3_get_ast_hash(self.ctx_ref(), self.as_ast())
448
449
unsigned Z3_API Z3_get_ast_hash(Z3_context c, Z3_ast a)
Return a hash code for the given AST. The hash code is structural but two different AST objects can m...

Referenced by AstRef.__hash__().

◆ sexpr()

def sexpr (   self)
Return a string representing the AST node in s-expression notation.

>>> x = Int('x')
>>> ((x + 1)*x).sexpr()
'(* (+ x 1) x)'

Definition at line 382 of file z3py.py.

382 def sexpr(self):
383 """Return a string representing the AST node in s-expression notation.
384
385 >>> x = Int('x')
386 >>> ((x + 1)*x).sexpr()
387 '(* (+ x 1) x)'
388 """
389 return Z3_ast_to_string(self.ctx_ref(), self.as_ast())
390
Z3_string Z3_API Z3_ast_to_string(Z3_context c, Z3_ast a)
Convert the given AST node into a string.

Referenced by ArithRef.__div__(), BitVecRef.__div__(), BitVecRef.__ge__(), ArrayRef.__getitem__(), BitVecRef.__gt__(), BitVecRef.__le__(), BitVecRef.__lshift__(), BitVecRef.__lt__(), BitVecRef.__mod__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), Fixedpoint.__repr__(), Optimize.__repr__(), BitVecRef.__rlshift__(), BitVecRef.__rmod__(), BitVecRef.__rrshift__(), BitVecRef.__rshift__(), BitVecSortRef.cast(), FPSortRef.cast(), and AstRef.sexpr().

◆ translate()

def translate (   self,
  target 
)
Translate `self` to the context `target`. That is, return a copy of `self` in the context `target`.

>>> c1 = Context()
>>> c2 = Context()
>>> x  = Int('x', c1)
>>> y  = Int('y', c2)
>>> # Nodes in different contexts can't be mixed.
>>> # However, we can translate nodes from one context to another.
>>> x.translate(c2) + y
x + y

Definition at line 420 of file z3py.py.

420 def translate(self, target):
421 """Translate `self` to the context `target`. That is, return a copy of `self` in the context `target`.
422
423 >>> c1 = Context()
424 >>> c2 = Context()
425 >>> x = Int('x', c1)
426 >>> y = Int('y', c2)
427 >>> # Nodes in different contexts can't be mixed.
428 >>> # However, we can translate nodes from one context to another.
429 >>> x.translate(c2) + y
430 x + y
431 """
432 if z3_debug():
433 _z3_assert(isinstance(target, Context), "argument must be a Z3 context")
434 return _to_ast_ref(Z3_translate(self.ctx.ref(), self.as_ast(), target.ref()), target)
435
Z3_ast Z3_API Z3_translate(Z3_context source, Z3_ast a, Z3_context target)
Translate/Copy the AST a from context source to context target. AST a must have been created using co...

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

Field Documentation

◆ ast

ast

◆ ctx

ctx

Definition at line 346 of file z3py.py.

Referenced by ArithRef.__add__(), BitVecRef.__add__(), FPRef.__add__(), BitVecRef.__and__(), FuncDeclRef.__call__(), Probe.__call__(), AstMap.__contains__(), AstRef.__copy__(), Goal.__copy__(), AstVector.__copy__(), FuncInterp.__copy__(), ModelRef.__copy__(), Solver.__copy__(), AstRef.__deepcopy__(), Datatype.__deepcopy__(), ParamsRef.__deepcopy__(), ParamDescrsRef.__deepcopy__(), Goal.__deepcopy__(), AstVector.__deepcopy__(), AstMap.__deepcopy__(), FuncEntry.__deepcopy__(), FuncInterp.__deepcopy__(), ModelRef.__deepcopy__(), Statistics.__deepcopy__(), Solver.__deepcopy__(), Fixedpoint.__deepcopy__(), Optimize.__deepcopy__(), ApplyResult.__deepcopy__(), Tactic.__deepcopy__(), Probe.__deepcopy__(), Context.__del__(), AstRef.__del__(), ScopedConstructor.__del__(), ScopedConstructorList.__del__(), ParamsRef.__del__(), ParamDescrsRef.__del__(), Goal.__del__(), AstVector.__del__(), AstMap.__del__(), FuncEntry.__del__(), FuncInterp.__del__(), ModelRef.__del__(), Statistics.__del__(), Solver.__del__(), Fixedpoint.__del__(), Optimize.__del__(), ApplyResult.__del__(), Tactic.__del__(), Probe.__del__(), ArithRef.__div__(), BitVecRef.__div__(), FPRef.__div__(), ExprRef.__eq__(), Probe.__eq__(), ArithRef.__ge__(), BitVecRef.__ge__(), Probe.__ge__(), FPRef.__ge__(), SeqRef.__ge__(), QuantifierRef.__getitem__(), ArrayRef.__getitem__(), AstVector.__getitem__(), SeqRef.__getitem__(), ModelRef.__getitem__(), Statistics.__getitem__(), ApplyResult.__getitem__(), AstMap.__getitem__(), ArithRef.__gt__(), BitVecRef.__gt__(), Probe.__gt__(), FPRef.__gt__(), SeqRef.__gt__(), BitVecRef.__invert__(), ArithRef.__le__(), BitVecRef.__le__(), Probe.__le__(), FPRef.__le__(), SeqRef.__le__(), AstVector.__len__(), AstMap.__len__(), ModelRef.__len__(), Statistics.__len__(), ApplyResult.__len__(), BitVecRef.__lshift__(), ArithRef.__lt__(), BitVecRef.__lt__(), Probe.__lt__(), FPRef.__lt__(), SeqRef.__lt__(), ArithRef.__mod__(), BitVecRef.__mod__(), ArithRef.__mul__(), BitVecRef.__mul__(), FPRef.__mul__(), ExprRef.__ne__(), Probe.__ne__(), ArithRef.__neg__(), BitVecRef.__neg__(), BitVecRef.__or__(), ArithRef.__pow__(), ArithRef.__radd__(), BitVecRef.__radd__(), FPRef.__radd__(), BitVecRef.__rand__(), ArithRef.__rdiv__(), BitVecRef.__rdiv__(), FPRef.__rdiv__(), ParamsRef.__repr__(), ParamDescrsRef.__repr__(), AstMap.__repr__(), Statistics.__repr__(), BitVecRef.__rlshift__(), ArithRef.__rmod__(), BitVecRef.__rmod__(), ArithRef.__rmul__(), BitVecRef.__rmul__(), FPRef.__rmul__(), BitVecRef.__ror__(), ArithRef.__rpow__(), BitVecRef.__rrshift__(), BitVecRef.__rshift__(), ArithRef.__rsub__(), BitVecRef.__rsub__(), FPRef.__rsub__(), BitVecRef.__rxor__(), AstVector.__setitem__(), AstMap.__setitem__(), ArithRef.__sub__(), BitVecRef.__sub__(), FPRef.__sub__(), BitVecRef.__xor__(), DatatypeSortRef.accessor(), Fixedpoint.add_cover(), Fixedpoint.add_rule(), Optimize.add_soft(), Tactic.apply(), AlgebraicNumRef.approx(), ExprRef.arg(), FuncEntry.arg_value(), FuncInterp.arity(), Goal.as_expr(), ApplyResult.as_expr(), FPNumRef.as_string(), Solver.assert_and_track(), Optimize.assert_and_track(), Goal.assert_exprs(), Solver.assert_exprs(), Fixedpoint.assert_exprs(), Optimize.assert_exprs(), Solver.assertions(), Optimize.assertions(), SeqRef.at(), SeqSortRef.basis(), ReSortRef.basis(), QuantifierRef.body(), BoolSortRef.cast(), Solver.check(), Optimize.check(), UserPropagateBase.conflict(), Solver.consequences(), DatatypeSortRef.constructor(), Goal.convert_model(), AstRef.ctx_ref(), UserPropagateBase.ctx_ref(), ExprRef.decl(), ModelRef.decls(), ArrayRef.default(), RatNumRef.denominator(), Goal.depth(), Goal.dimacs(), Solver.dimacs(), ArraySortRef.domain(), FuncDeclRef.domain(), FuncInterp.else_value(), FuncInterp.entry(), AstMap.erase(), ModelRef.eval(), FPNumRef.exponent(), FPNumRef.exponent_as_bv(), FPNumRef.exponent_as_long(), Solver.from_file(), Optimize.from_file(), Solver.from_string(), Optimize.from_string(), Goal.get(), Fixedpoint.get_answer(), Fixedpoint.get_assertions(), Fixedpoint.get_cover_delta(), ParamDescrsRef.get_documentation(), Fixedpoint.get_ground_sat_answer(), ModelRef.get_interp(), Statistics.get_key_value(), ParamDescrsRef.get_kind(), ParamDescrsRef.get_name(), Fixedpoint.get_num_levels(), Fixedpoint.get_rule_names_along_trace(), Fixedpoint.get_rules(), Fixedpoint.get_rules_along_trace(), ModelRef.get_sort(), ModelRef.get_universe(), Solver.help(), Fixedpoint.help(), Optimize.help(), Tactic.help(), Solver.import_model_converter(), Goal.inconsistent(), FPNumRef.isInf(), FPNumRef.isNaN(), FPNumRef.isNegative(), FPNumRef.isNormal(), FPNumRef.isPositive(), FPNumRef.isSubnormal(), FPNumRef.isZero(), AstMap.keys(), Statistics.keys(), SortRef.kind(), Optimize.maximize(), Optimize.minimize(), Solver.model(), Optimize.model(), SortRef.name(), FuncDeclRef.name(), QuantifierRef.no_pattern(), Solver.non_units(), FuncEntry.num_args(), FuncInterp.num_entries(), Solver.num_scopes(), ModelRef.num_sorts(), RatNumRef.numerator(), Optimize.objectives(), Solver.param_descrs(), Fixedpoint.param_descrs(), Optimize.param_descrs(), Tactic.param_descrs(), FuncDeclRef.params(), Fixedpoint.parse_file(), Fixedpoint.parse_string(), QuantifierRef.pattern(), AlgebraicNumRef.poly(), Optimize.pop(), Solver.pop(), Goal.prec(), Solver.proof(), Solver.push(), Optimize.push(), AstVector.push(), Fixedpoint.query(), Fixedpoint.query_from_lvl(), FuncDeclRef.range(), ArraySortRef.range(), Solver.reason_unknown(), Fixedpoint.reason_unknown(), Optimize.reason_unknown(), DatatypeSortRef.recognizer(), Context.ref(), Fixedpoint.register_relation(), AstMap.reset(), Solver.reset(), AstVector.resize(), Solver.set(), Fixedpoint.set(), Optimize.set(), ParamsRef.set(), Optimize.set_on_model(), Fixedpoint.set_predicate_representation(), Goal.sexpr(), AstVector.sexpr(), ModelRef.sexpr(), Solver.sexpr(), Fixedpoint.sexpr(), Optimize.sexpr(), ApplyResult.sexpr(), FPNumRef.sign(), FPNumRef.sign_as_bv(), FPNumRef.significand(), FPNumRef.significand_as_bv(), FPNumRef.significand_as_long(), ParamDescrsRef.size(), Goal.size(), Tactic.solver(), ExprRef.sort(), BoolRef.sort(), QuantifierRef.sort(), ArithRef.sort(), BitVecRef.sort(), ArrayRef.sort(), DatatypeRef.sort(), FiniteDomainRef.sort(), FPRef.sort(), SeqRef.sort(), Solver.statistics(), Fixedpoint.statistics(), Optimize.statistics(), Solver.to_smt2(), Fixedpoint.to_string(), Solver.trail(), Solver.trail_levels(), AstVector.translate(), FuncInterp.translate(), AstRef.translate(), Goal.translate(), ModelRef.translate(), Solver.translate(), Solver.units(), Solver.unsat_core(), Optimize.unsat_core(), Fixedpoint.update_rule(), ParamsRef.validate(), FuncEntry.value(), QuantifierRef.var_name(), and QuantifierRef.var_sort().