Solver Class Reference

Inheritance diagram for Solver:

Public Member Functions
	__init__ (self, solver=None, ctx=None, logFile=None)
	__del__ (self)
	__enter__ (self)
	__exit__ (self, *exc_info)
	set (self, *args, **keys)
	push (self)
	pop (self, num=1)
	num_scopes (self)
	reset (self)
	assert_exprs (self, *args)
	add (self, *args)
	__iadd__ (self, fml)
	append (self, *args)
	insert (self, *args)
	assert_and_track (self, a, p)
	check (self, *assumptions)
	model (self)
	import_model_converter (self, other)
	interrupt (self)
	unsat_core (self)
	consequences (self, assumptions, variables)
	from_file (self, filename)
	from_string (self, s)
	cube (self, vars=None)
	cube_vars (self)
	root (self, t)
	next (self, t)
	explain_congruent (self, a, b)
	solve_for (self, ts)
	proof (self)
	assertions (self)
	units (self)
	non_units (self)
	trail_levels (self)
	set_initial_value (self, var, value)
	trail (self)
	statistics (self)
	reason_unknown (self)
	help (self)
	param_descrs (self)
	__repr__ (self)
	translate (self, target)
	__copy__ (self)
	__deepcopy__ (self, memo={})
	sexpr (self)
	dimacs (self, include_names=True)
	to_smt2 (self)
Public Member Functions inherited from Z3PPObject
	use_pp (self)

Data Fields
	ctx = _get_ctx(ctx)
int	backtrack_level = 4000000000
	solver = None
	cube_vs = AstVector(None, self.ctx)

Additional Inherited Members
Protected Member Functions inherited from Z3PPObject
	_repr_html_ (self)

Detailed Description

Solver API provides methods for implementing the main SMT 2.0 commands:
push, pop, check, get-model, etc.

Definition at line 7043 of file z3py.py.

Constructor & Destructor Documentation

__init__()

__init__	(		self,
			solver = None,
			ctx = None,
			logFile = None )

Definition at line 7049 of file z3py.py.

    def __init__(self, solver=None, ctx=None, logFile=None):
        assert solver is None or ctx is not None
        self.ctx = _get_ctx(ctx)
        self.backtrack_level = 4000000000
        self.solver = None
        if solver is None:
            self.solver = Z3_mk_solver(self.ctx.ref())
        else:
            self.solver = solver
        Z3_solver_inc_ref(self.ctx.ref(), self.solver)
        if logFile is not None:
            self.set("smtlib2_log", logFile)
 

__del__()

__del__

(

self

)

Definition at line 7062 of file z3py.py.

    def __del__(self):
        if self.solver is not None and self.ctx.ref() is not None and Z3_solver_dec_ref is not None:
            Z3_solver_dec_ref(self.ctx.ref(), self.solver)
 

Member Function Documentation

__copy__()

__copy__

(

self

)

Definition at line 7543 of file z3py.py.

    def __copy__(self):
        return self.translate(self.ctx)
 

__deepcopy__()

__deepcopy__	(		self,
			memo = {} )

Definition at line 7546 of file z3py.py.

    def __deepcopy__(self, memo={}):
        return self.translate(self.ctx)
 

__enter__()

__enter__

(

self

)

Definition at line 7066 of file z3py.py.

    def __enter__(self):
        self.push()
        return self
 

__exit__()

__exit__	(		self,
		*	exc_info )

Definition at line 7070 of file z3py.py.

    def __exit__(self, *exc_info):
        self.pop()
 

__iadd__()

__iadd__	(		self,
			fml )

Definition at line 7192 of file z3py.py.

    def __iadd__(self, fml):
        self.add(fml)
        return self
 

__repr__()

__repr__

(

self

)

Return a formatted string with all added constraints.

Definition at line 7526 of file z3py.py.

    def __repr__(self):
        """Return a formatted string with all added constraints."""
        return obj_to_string(self)
 

add()

add	(		self,
		*	args )

Assert constraints into the solver.

>>> x = Int('x')
>>> s = Solver()
>>> s.add(x > 0, x < 2)
>>> s
[x > 0, x < 2]

Definition at line 7181 of file z3py.py.

    def add(self, *args):
        """Assert constraints into the solver.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.add(x > 0, x < 2)
        >>> s
        [x > 0, x < 2]
        """
        self.assert_exprs(*args)
 

Referenced by __iadd__().

append()

append	(		self,
		*	args )

Assert constraints into the solver.

>>> x = Int('x')
>>> s = Solver()
>>> s.append(x > 0, x < 2)
>>> s
[x > 0, x < 2]

Definition at line 7196 of file z3py.py.

    def append(self, *args):
        """Assert constraints into the solver.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.append(x > 0, x < 2)
        >>> s
        [x > 0, x < 2]
        """
        self.assert_exprs(*args)
 

assert_and_track()

assert_and_track	(		self,
			a,
			p )

Assert constraint `a` and track it in the unsat core using the Boolean constant `p`.

If `p` is a string, it will be automatically converted into a Boolean constant.

>>> x = Int('x')
>>> p3 = Bool('p3')
>>> s = Solver()
>>> s.set(unsat_core=True)
>>> s.assert_and_track(x > 0,  'p1')
>>> s.assert_and_track(x != 1, 'p2')
>>> s.assert_and_track(x < 0,  p3)
>>> print(s.check())
unsat
>>> c = s.unsat_core()
>>> len(c)
2
>>> Bool('p1') in c
True
>>> Bool('p2') in c
False
>>> p3 in c
True

Definition at line 7218 of file z3py.py.

    def assert_and_track(self, a, p):
        """Assert constraint `a` and track it in the unsat core using the Boolean constant `p`.
 
        If `p` is a string, it will be automatically converted into a Boolean constant.
 
        >>> x = Int('x')
        >>> p3 = Bool('p3')
        >>> s = Solver()
        >>> s.set(unsat_core=True)
        >>> s.assert_and_track(x > 0,  'p1')
        >>> s.assert_and_track(x != 1, 'p2')
        >>> s.assert_and_track(x < 0,  p3)
        >>> print(s.check())
        unsat
        >>> c = s.unsat_core()
        >>> len(c)
        2
        >>> Bool('p1') in c
        True
        >>> Bool('p2') in c
        False
        >>> p3 in c
        True
        """
        if isinstance(p, str):
            p = Bool(p, self.ctx)
        _z3_assert(isinstance(a, BoolRef), "Boolean expression expected")
        _z3_assert(isinstance(p, BoolRef) and is_const(p), "Boolean expression expected")
        Z3_solver_assert_and_track(self.ctx.ref(), self.solver, a.as_ast(), p.as_ast())
 

assert_exprs()

assert_exprs	(		self,
		*	args )

Assert constraints into the solver.

>>> x = Int('x')
>>> s = Solver()
>>> s.assert_exprs(x > 0, x < 2)
>>> s
[x > 0, x < 2]

Definition at line 7162 of file z3py.py.

    def assert_exprs(self, *args):
        """Assert constraints into the solver.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.assert_exprs(x > 0, x < 2)
        >>> s
        [x > 0, x < 2]
        """
        args = _get_args(args)
        s = BoolSort(self.ctx)
        for arg in args:
            if isinstance(arg, Goal) or isinstance(arg, AstVector):
                for f in arg:
                    Z3_solver_assert(self.ctx.ref(), self.solver, f.as_ast())
            else:
                arg = s.cast(arg)
                Z3_solver_assert(self.ctx.ref(), self.solver, arg.as_ast())
 

Referenced by add(), append(), and insert().

assertions()

assertions

(

self

)

Return an AST vector containing all added constraints.

>>> s = Solver()
>>> s.assertions()
[]
>>> a = Int('a')
>>> s.add(a > 0)
>>> s.add(a < 10)
>>> s.assertions()
[a > 0, a < 10]

Definition at line 7443 of file z3py.py.

    def assertions(self):
        """Return an AST vector containing all added constraints.
 
        >>> s = Solver()
        >>> s.assertions()
        []
        >>> a = Int('a')
        >>> s.add(a > 0)
        >>> s.add(a < 10)
        >>> s.assertions()
        [a > 0, a < 10]
        """
        return AstVector(Z3_solver_get_assertions(self.ctx.ref(), self.solver), self.ctx)
 

check()

check	(		self,
		*	assumptions )

Check whether the assertions in the given solver plus the optional assumptions are consistent or not.

>>> x = Int('x')
>>> s = Solver()
>>> s.check()
sat
>>> s.add(x > 0, x < 2)
>>> s.check()
sat
>>> s.model().eval(x)
1
>>> s.add(x < 1)
>>> s.check()
unsat
>>> s.reset()
>>> s.add(2**x == 4)
>>> s.check()
unknown

Definition at line 7248 of file z3py.py.

    def check(self, *assumptions):
        """Check whether the assertions in the given solver plus the optional assumptions are consistent or not.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.check()
        sat
        >>> s.add(x > 0, x < 2)
        >>> s.check()
        sat
        >>> s.model().eval(x)
        1
        >>> s.add(x < 1)
        >>> s.check()
        unsat
        >>> s.reset()
        >>> s.add(2**x == 4)
        >>> s.check()
        unknown
        """
        s = BoolSort(self.ctx)
        assumptions = _get_args(assumptions)
        num = len(assumptions)
        _assumptions = (Ast * num)()
        for i in range(num):
            _assumptions[i] = s.cast(assumptions[i]).as_ast()
        r = Z3_solver_check_assumptions(self.ctx.ref(), self.solver, num, _assumptions)
        return CheckSatResult(r)
 

consequences()

consequences	(		self,
			assumptions,
			variables )

Determine fixed values for the variables based on the solver state and assumptions.
>>> s = Solver()
>>> a, b, c, d = Bools('a b c d')
>>> s.add(Implies(a,b), Implies(b, c))
>>> s.consequences([a],[b,c,d])
(sat, [Implies(a, b), Implies(a, c)])
>>> s.consequences([Not(c),d],[a,b,c,d])
(sat, [Implies(d, d), Implies(Not(c), Not(c)), Implies(Not(c), Not(b)), Implies(Not(c), Not(a))])

Definition at line 7339 of file z3py.py.

    def consequences(self, assumptions, variables):
        """Determine fixed values for the variables based on the solver state and assumptions.
        >>> s = Solver()
        >>> a, b, c, d = Bools('a b c d')
        >>> s.add(Implies(a,b), Implies(b, c))
        >>> s.consequences([a],[b,c,d])
        (sat, [Implies(a, b), Implies(a, c)])
        >>> s.consequences([Not(c),d],[a,b,c,d])
        (sat, [Implies(d, d), Implies(Not(c), Not(c)), Implies(Not(c), Not(b)), Implies(Not(c), Not(a))])
        """
        if isinstance(assumptions, list):
            _asms = AstVector(None, self.ctx)
            for a in assumptions:
                _asms.push(a)
            assumptions = _asms
        if isinstance(variables, list):
            _vars = AstVector(None, self.ctx)
            for a in variables:
                _vars.push(a)
            variables = _vars
        _z3_assert(isinstance(assumptions, AstVector), "ast vector expected")
        _z3_assert(isinstance(variables, AstVector), "ast vector expected")
        consequences = AstVector(None, self.ctx)
        r = Z3_solver_get_consequences(self.ctx.ref(), self.solver, assumptions.vector,
                                       variables.vector, consequences.vector)
        sz = len(consequences)
        consequences = [consequences[i] for i in range(sz)]
        return CheckSatResult(r), consequences
 

cube()

cube	(		self,
			vars = None )

Get set of cubes
The method takes an optional set of variables that restrict which
variables may be used as a starting point for cubing.
If vars is not None, then the first case split is based on a variable in
this set.

Definition at line 7376 of file z3py.py.

    def cube(self, vars=None):
        """Get set of cubes
        The method takes an optional set of variables that restrict which
        variables may be used as a starting point for cubing.
        If vars is not None, then the first case split is based on a variable in
        this set.
        """
        self.cube_vs = AstVector(None, self.ctx)
        if vars is not None:
            for v in vars:
                self.cube_vs.push(v)
        while True:
            lvl = self.backtrack_level
            self.backtrack_level = 4000000000
            r = AstVector(Z3_solver_cube(self.ctx.ref(), self.solver, self.cube_vs.vector, lvl), self.ctx)
            if (len(r) == 1 and is_false(r[0])):
                return
            yield r
            if (len(r) == 0):
                return
 

cube_vars()

cube_vars

(

self

)

Access the set of variables that were touched by the most recently generated cube.
This set of variables can be used as a starting point for additional cubes.
The idea is that variables that appear in clauses that are reduced by the most recent
cube are likely more useful to cube on.

Definition at line 7397 of file z3py.py.

    def cube_vars(self):
        """Access the set of variables that were touched by the most recently generated cube.
        This set of variables can be used as a starting point for additional cubes.
        The idea is that variables that appear in clauses that are reduced by the most recent
        cube are likely more useful to cube on."""
        return self.cube_vs
 

dimacs()

dimacs	(		self,
			include_names = True )

Return a textual representation of the solver in DIMACS format.

Definition at line 7561 of file z3py.py.

    def dimacs(self, include_names=True):
        """Return a textual representation of the solver in DIMACS format."""
        return Z3_solver_to_dimacs_string(self.ctx.ref(), self.solver, include_names)
 

explain_congruent()

explain_congruent	(		self,
			a,
			b )

Explain congruence of a and b relative to the current search state

Definition at line 7420 of file z3py.py.

    def explain_congruent(self, a, b):
        """Explain congruence of a and b relative to the current search state"""
        a = _py2expr(a, self.ctx)
        b = _py2expr(b, self.ctx)
        return _to_expr_ref(Z3_solver_congruence_explain(self.ctx.ref(), self.solver, a.ast, b.ast), self.ctx)
 
 

from_file()

from_file	(		self,
			filename )

Parse assertions from a file

Definition at line 7368 of file z3py.py.

    def from_file(self, filename):
        """Parse assertions from a file"""
        Z3_solver_from_file(self.ctx.ref(), self.solver, filename)
 

from_string()

from_string	(		self,
			s )

Parse assertions from a string

Definition at line 7372 of file z3py.py.

    def from_string(self, s):
        """Parse assertions from a string"""
        Z3_solver_from_string(self.ctx.ref(), self.solver, s)
 

help()

help

(

self

)

Display a string describing all available options.

Definition at line 7518 of file z3py.py.

    def help(self):
        """Display a string describing all available options."""
        print(Z3_solver_get_help(self.ctx.ref(), self.solver))
 

import_model_converter()

import_model_converter	(		self,
			other )

Import model converter from other into the current solver

Definition at line 7296 of file z3py.py.

    def import_model_converter(self, other):
        """Import model converter from other into the current solver"""
        Z3_solver_import_model_converter(self.ctx.ref(), other.solver, self.solver)
 

insert()

insert	(		self,
		*	args )

Assert constraints into the solver.

>>> x = Int('x')
>>> s = Solver()
>>> s.insert(x > 0, x < 2)
>>> s
[x > 0, x < 2]

Definition at line 7207 of file z3py.py.

    def insert(self, *args):
        """Assert constraints into the solver.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.insert(x > 0, x < 2)
        >>> s
        [x > 0, x < 2]
        """
        self.assert_exprs(*args)
 

interrupt()

interrupt

(

self

)

Interrupt the execution of the solver object.
Remarks: This ensures that the interrupt applies only
to the given solver object and it applies only if it is running.

Definition at line 7300 of file z3py.py.

    def interrupt(self):
        """Interrupt the execution of the solver object.
        Remarks: This ensures that the interrupt applies only
        to the given solver object and it applies only if it is running.
        """
        Z3_solver_interrupt(self.ctx.ref(), self.solver)
 

model()

model

(

self

)

Return a model for the last `check()`.

This function raises an exception if
a model is not available (e.g., last `check()` returned unsat).

>>> s = Solver()
>>> a = Int('a')
>>> s.add(a + 2 == 0)
>>> s.check()
sat
>>> s.model()
[a = -2]

Definition at line 7277 of file z3py.py.

    def model(self):
        """Return a model for the last `check()`.
 
        This function raises an exception if
        a model is not available (e.g., last `check()` returned unsat).
 
        >>> s = Solver()
        >>> a = Int('a')
        >>> s.add(a + 2 == 0)
        >>> s.check()
        sat
        >>> s.model()
        [a = -2]
        """
        try:
            return ModelRef(Z3_solver_get_model(self.ctx.ref(), self.solver), self.ctx)
        except Z3Exception:
            raise Z3Exception("model is not available")
 

next()

next	(		self,
			t )

Retrieve congruence closure sibling of the term t relative to the current search state
The function primarily works for SimpleSolver. Terms and variables that are
eliminated during pre-processing are not visible to the congruence closure.

Definition at line 7412 of file z3py.py.

    def next(self, t):
        """Retrieve congruence closure sibling of the term t relative to the current search state
        The function primarily works for SimpleSolver. Terms and variables that are
        eliminated during pre-processing are not visible to the congruence closure.
        """
        t = _py2expr(t, self.ctx)
        return _to_expr_ref(Z3_solver_congruence_next(self.ctx.ref(), self.solver, t.ast), self.ctx)
 

non_units()

non_units

(

self

)

Return an AST vector containing all atomic formulas in solver state that are not units.

Definition at line 7462 of file z3py.py.

    def non_units(self):
        """Return an AST vector containing all atomic formulas in solver state that are not units.
        """
        return AstVector(Z3_solver_get_non_units(self.ctx.ref(), self.solver), self.ctx)
 

num_scopes()

num_scopes

(

self

)

Return the current number of backtracking points.

>>> s = Solver()
>>> s.num_scopes()
0
>>> s.push()
>>> s.num_scopes()
1
>>> s.push()
>>> s.num_scopes()
2
>>> s.pop()
>>> s.num_scopes()
1

Definition at line 7130 of file z3py.py.

    def num_scopes(self):
        """Return the current number of backtracking points.
 
        >>> s = Solver()
        >>> s.num_scopes()
        0
        >>> s.push()
        >>> s.num_scopes()
        1
        >>> s.push()
        >>> s.num_scopes()
        2
        >>> s.pop()
        >>> s.num_scopes()
        1
        """
        return Z3_solver_get_num_scopes(self.ctx.ref(), self.solver)
 

param_descrs()

param_descrs

(

self

)

Return the parameter description set.

Definition at line 7522 of file z3py.py.

    def param_descrs(self):
        """Return the parameter description set."""
        return ParamDescrsRef(Z3_solver_get_param_descrs(self.ctx.ref(), self.solver), self.ctx)
 

pop()

pop	(		self,
			num = 1 )

Backtrack \\c num backtracking points.

>>> x = Int('x')
>>> s = Solver()
>>> s.add(x > 0)
>>> s
[x > 0]
>>> s.push()
>>> s.add(x < 1)
>>> s
[x > 0, x < 1]
>>> s.check()
unsat
>>> s.pop()
>>> s.check()
sat
>>> s
[x > 0]

Definition at line 7108 of file z3py.py.

    def pop(self, num=1):
        """Backtrack \\c num backtracking points.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.add(x > 0)
        >>> s
        [x > 0]
        >>> s.push()
        >>> s.add(x < 1)
        >>> s
        [x > 0, x < 1]
        >>> s.check()
        unsat
        >>> s.pop()
        >>> s.check()
        sat
        >>> s
        [x > 0]
        """
        Z3_solver_pop(self.ctx.ref(), self.solver, num)
 

Referenced by __exit__().

proof()

proof

(

self

)

Return a proof for the last `check()`. Proof construction must be enabled.

Definition at line 7439 of file z3py.py.

    def proof(self):
        """Return a proof for the last `check()`. Proof construction must be enabled."""
        return _to_expr_ref(Z3_solver_get_proof(self.ctx.ref(), self.solver), self.ctx)
 

push()

push

(

self

)

Create a backtracking point.

>>> x = Int('x')
>>> s = Solver()
>>> s.add(x > 0)
>>> s
[x > 0]
>>> s.push()
>>> s.add(x < 1)
>>> s
[x > 0, x < 1]
>>> s.check()
unsat
>>> s.pop()
>>> s.check()
sat
>>> s
[x > 0]

Definition at line 7086 of file z3py.py.

    def push(self):
        """Create a backtracking point.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.add(x > 0)
        >>> s
        [x > 0]
        >>> s.push()
        >>> s.add(x < 1)
        >>> s
        [x > 0, x < 1]
        >>> s.check()
        unsat
        >>> s.pop()
        >>> s.check()
        sat
        >>> s
        [x > 0]
        """
        Z3_solver_push(self.ctx.ref(), self.solver)
 

Referenced by __enter__().

reason_unknown()

reason_unknown

(

self

)

Return a string describing why the last `check()` returned `unknown`.

>>> x = Int('x')
>>> s = SimpleSolver()
>>> s.add(2**x == 4)
>>> s.check()
unknown
>>> s.reason_unknown()
'(incomplete (theory arithmetic))'

Definition at line 7505 of file z3py.py.

    def reason_unknown(self):
        """Return a string describing why the last `check()` returned `unknown`.
 
        >>> x = Int('x')
        >>> s = SimpleSolver()
        >>> s.add(2**x == 4)
        >>> s.check()
        unknown
        >>> s.reason_unknown()
        '(incomplete (theory arithmetic))'
        """
        return Z3_solver_get_reason_unknown(self.ctx.ref(), self.solver)
 

reset()

reset

(

self

)

Remove all asserted constraints and backtracking points created using `push()`.

>>> x = Int('x')
>>> s = Solver()
>>> s.add(x > 0)
>>> s
[x > 0]
>>> s.reset()
>>> s
[]

Definition at line 7148 of file z3py.py.

    def reset(self):
        """Remove all asserted constraints and backtracking points created using `push()`.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.add(x > 0)
        >>> s
        [x > 0]
        >>> s.reset()
        >>> s
        []
        """
        Z3_solver_reset(self.ctx.ref(), self.solver)
 

root()

root	(		self,
			t )

Retrieve congruence closure root of the term t relative to the current search state
The function primarily works for SimpleSolver. Terms and variables that are
eliminated during pre-processing are not visible to the congruence closure.

Definition at line 7404 of file z3py.py.

    def root(self, t):
        """Retrieve congruence closure root of the term t relative to the current search state
        The function primarily works for SimpleSolver. Terms and variables that are
        eliminated during pre-processing are not visible to the congruence closure.
        """
        t = _py2expr(t, self.ctx)
        return _to_expr_ref(Z3_solver_congruence_root(self.ctx.ref(), self.solver, t.ast), self.ctx)
 

set()

set	(		self,
		*	args,
		**	keys )

Set a configuration option.
The method `help()` return a string containing all available options.

>>> s = Solver()
>>> # The option MBQI can be set using three different approaches.
>>> s.set(mbqi=True)
>>> s.set('MBQI', True)
>>> s.set(':mbqi', True)

Definition at line 7073 of file z3py.py.

    def set(self, *args, **keys):
        """Set a configuration option.
        The method `help()` return a string containing all available options.
 
        >>> s = Solver()
        >>> # The option MBQI can be set using three different approaches.
        >>> s.set(mbqi=True)
        >>> s.set('MBQI', True)
        >>> s.set(':mbqi', True)
        """
        p = args2params(args, keys, self.ctx)
        Z3_solver_set_params(self.ctx.ref(), self.solver, p.params)
 

set_initial_value()

set_initial_value	(		self,
			var,
			value )

initialize the solver's state by setting the initial value of var to value

Definition at line 7475 of file z3py.py.

    def set_initial_value(self, var, value):
        """initialize the solver's state by setting the initial value of var to value
        """
        s = var.sort()
        value = s.cast(value)
        Z3_solver_set_initial_value(self.ctx.ref(), self.solver, var.ast, value.ast)
 

sexpr()

sexpr

(

self

)

Return a formatted string (in Lisp-like format) with all added constraints.
We say the string is in s-expression format.

>>> x = Int('x')
>>> s = Solver()
>>> s.add(x > 0)
>>> s.add(x < 2)
>>> r = s.sexpr()

Definition at line 7549 of file z3py.py.

    def sexpr(self):
        """Return a formatted string (in Lisp-like format) with all added constraints.
        We say the string is in s-expression format.
 
        >>> x = Int('x')
        >>> s = Solver()
        >>> s.add(x > 0)
        >>> s.add(x < 2)
        >>> r = s.sexpr()
        """
        return Z3_solver_to_string(self.ctx.ref(), self.solver)
 

solve_for()

solve_for	(		self,
			ts )

Retrieve a solution for t relative to linear equations maintained in the current state.

Definition at line 7427 of file z3py.py.

    def solve_for(self, ts):
        """Retrieve a solution for t relative to linear equations maintained in the current state."""
        vars = AstVector(ctx=self.ctx);
        terms = AstVector(ctx=self.ctx);
        guards = AstVector(ctx=self.ctx);
        for t in ts:
            t = _py2expr(t, self.ctx)                
            vars.push(t)
        Z3_solver_solve_for(self.ctx.ref(), self.solver, vars.vector, terms.vector, guards.vector)
        return [(vars[i], terms[i], guards[i]) for i in range(len(vars))]
 
 

statistics()

statistics

(

self

)

Return statistics for the last `check()`.

>>> s = SimpleSolver()
>>> x = Int('x')
>>> s.add(x > 0)
>>> s.check()
sat
>>> st = s.statistics()
>>> st.get_key_value('final checks')
1
>>> len(st) > 0
True
>>> st[0] != 0
True

Definition at line 7487 of file z3py.py.

    def statistics(self):
        """Return statistics for the last `check()`.
 
        >>> s = SimpleSolver()
        >>> x = Int('x')
        >>> s.add(x > 0)
        >>> s.check()
        sat
        >>> st = s.statistics()
        >>> st.get_key_value('final checks')
        1
        >>> len(st) > 0
        True
        >>> st[0] != 0
        True
        """
        return Statistics(Z3_solver_get_statistics(self.ctx.ref(), self.solver), self.ctx)
 

to_smt2()

to_smt2

(

self

)

return SMTLIB2 formatted benchmark for solver's assertions

Definition at line 7565 of file z3py.py.

    def to_smt2(self):
        """return SMTLIB2 formatted benchmark for solver's assertions"""
        es = self.assertions()
        sz = len(es)
        sz1 = sz
        if sz1 > 0:
            sz1 -= 1
        v = (Ast * sz1)()
        for i in range(sz1):
            v[i] = es[i].as_ast()
        if sz > 0:
            e = es[sz1].as_ast()
        else:
            e = BoolVal(True, self.ctx).as_ast()
        return Z3_benchmark_to_smtlib_string(
            self.ctx.ref(), "benchmark generated from python API", "", "unknown", "", sz1, v, e,
        )
 
 

trail()

trail

(

self

)

Return trail of the solver state after a check() call.

Definition at line 7482 of file z3py.py.

    def trail(self):
        """Return trail of the solver state after a check() call.
        """
        return AstVector(Z3_solver_get_trail(self.ctx.ref(), self.solver), self.ctx)
 

trail_levels()

trail_levels

(

self

)

Return trail and decision levels of the solver state after a check() call.

Definition at line 7467 of file z3py.py.

    def trail_levels(self):
        """Return trail and decision levels of the solver state after a check() call.
        """
        trail = self.trail()
        levels = (ctypes.c_uint * len(trail))()
        Z3_solver_get_levels(self.ctx.ref(), self.solver, trail.vector, len(trail), levels)
        return trail, levels
 

translate()

translate	(		self,
			target )

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

>>> c1 = Context()
>>> c2 = Context()
>>> s1 = Solver(ctx=c1)
>>> s2 = s1.translate(c2)

Definition at line 7530 of file z3py.py.

    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()
        >>> s1 = Solver(ctx=c1)
        >>> s2 = s1.translate(c2)
        """
        if z3_debug():
            _z3_assert(isinstance(target, Context), "argument must be a Z3 context")
        solver = Z3_solver_translate(self.ctx.ref(), self.solver, target.ref())
        return Solver(solver, target)
 

units()

units

(

self

)

Return an AST vector containing all currently inferred units.

Definition at line 7457 of file z3py.py.

    def units(self):
        """Return an AST vector containing all currently inferred units.
        """
        return AstVector(Z3_solver_get_units(self.ctx.ref(), self.solver), self.ctx)
 

unsat_core()

unsat_core

(

self

)

Return a subset (as an AST vector) of the assumptions provided to the last check().

These are the assumptions Z3 used in the unsatisfiability proof.
Assumptions are available in Z3. They are used to extract unsatisfiable cores.
They may be also used to "retract" assumptions. Note that, assumptions are not really
"soft constraints", but they can be used to implement them.

>>> p1, p2, p3 = Bools('p1 p2 p3')
>>> x, y       = Ints('x y')
>>> s          = Solver()
>>> s.add(Implies(p1, x > 0))
>>> s.add(Implies(p2, y > x))
>>> s.add(Implies(p2, y < 1))
>>> s.add(Implies(p3, y > -3))
>>> s.check(p1, p2, p3)
unsat
>>> core = s.unsat_core()
>>> len(core)
2
>>> p1 in core
True
>>> p2 in core
True
>>> p3 in core
False
>>> # "Retracting" p2
>>> s.check(p1, p3)
sat

Definition at line 7307 of file z3py.py.

    def unsat_core(self):
        """Return a subset (as an AST vector) of the assumptions provided to the last check().
 
        These are the assumptions Z3 used in the unsatisfiability proof.
        Assumptions are available in Z3. They are used to extract unsatisfiable cores.
        They may be also used to "retract" assumptions. Note that, assumptions are not really
        "soft constraints", but they can be used to implement them.
 
        >>> p1, p2, p3 = Bools('p1 p2 p3')
        >>> x, y       = Ints('x y')
        >>> s          = Solver()
        >>> s.add(Implies(p1, x > 0))
        >>> s.add(Implies(p2, y > x))
        >>> s.add(Implies(p2, y < 1))
        >>> s.add(Implies(p3, y > -3))
        >>> s.check(p1, p2, p3)
        unsat
        >>> core = s.unsat_core()
        >>> len(core)
        2
        >>> p1 in core
        True
        >>> p2 in core
        True
        >>> p3 in core
        False
        >>> # "Retracting" p2
        >>> s.check(p1, p3)
        sat
        """
        return AstVector(Z3_solver_get_unsat_core(self.ctx.ref(), self.solver), self.ctx)
 

Field Documentation

backtrack_level

int backtrack_level = 4000000000

Definition at line 7052 of file z3py.py.

ctx

ctx = _get_ctx(ctx)

Definition at line 7051 of file z3py.py.

Referenced by __del__(), assert_and_track(), assert_exprs(), check(), model(), num_scopes(), pop(), push(), reset(), and set().

cube_vs

cube_vs = AstVector(None, self.ctx)

Definition at line 7383 of file z3py.py.

solver

solver = None

Definition at line 7053 of file z3py.py.

Referenced by __del__(), assert_and_track(), assert_exprs(), check(), model(), num_scopes(), pop(), push(), reset(), and set().