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seq

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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2015-12-23 11:02:34 -08:00
parent 7a9bd72e2e
commit 386399472d
5 changed files with 160 additions and 65 deletions
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89
src/api/ml/z3.ml
View file

@ -87,6 +87,10 @@ struct
(z3obj_sno res ctx no) ;
(z3obj_create res) ;
res
let ignore2 a b c = ignore a; ignore b
let ignore3 a b c = ignore a; ignore2 b c
end
open Internal
@ -833,6 +837,22 @@ end = struct
let o = Z3native.mk_app (context_gno ctx) (AST.ptr_of_ast fa) (List.length args) (expr_lton args) in
expr_of_ptr ctx o
let apply_un ctx f t =
let r = expr_of_ptr ctx (f (context_gno ctx) (gno t)) in
ignore t;
r
let apply_bin ctx f t1 t2 =
let r = expr_of_ptr ctx (f (context_gno ctx) (gno t1) (gno t2)) in
ignore2 t1 t2;
r
let apply_ter ctx f t1 t2 t3 =
let r = expr_of_ptr ctx (f (context_gno ctx) (gno t1) (gno t2) (gno t3)) in
ignore3 t1 t2 t3;
r
let simplify ( x : expr ) ( p : Params.params option ) = match p with
| None -> expr_of_ptr (Expr.gc x) (Z3native.simplify (gnc x) (gno x))
| Some pp -> expr_of_ptr (Expr.gc x) (Z3native.simplify_ex (gnc x) (gno x) (z3obj_gno pp))
@ -854,13 +874,17 @@ end = struct
if ((AST.is_app (ast_of_expr x)) && (List.length args <> (get_num_args x))) then
raise (Z3native.Exception "Number of arguments does not match")
else
expr_of_ptr (Expr.gc x) (Z3native.update_term (gnc x) (gno x) (List.length args) (expr_lton args))
let r = expr_of_ptr (Expr.gc x) (Z3native.update_term (gnc x) (gno x) (List.length args) (expr_lton args)) in
ignore2 x args;
r
let substitute ( x : expr ) from to_ =
if (List.length from) <> (List.length to_) then
raise (Z3native.Exception "Argument sizes do not match")
else
expr_of_ptr (Expr.gc x) (Z3native.substitute (gnc x) (gno x) (List.length from) (expr_lton from) (expr_lton to_))
let r = expr_of_ptr (Expr.gc x) (Z3native.substitute (gnc x) (gno x) (List.length from) (expr_lton from) (expr_lton to_)) in
ignore3 from to_ x;
r
let substitute_one ( x : expr ) from to_ =
substitute ( x : expr ) [ from ] [ to_ ]
@ -872,7 +896,9 @@ end = struct
if (Expr.gc x) == to_ctx then
x
else
expr_of_ptr to_ctx (Z3native.translate (gnc x) (gno x) (context_gno to_ctx))
let r = expr_of_ptr to_ctx (Z3native.translate (gnc x) (gno x) (context_gno to_ctx)) in
ignore2 x to_ctx;
r
let to_string ( x : expr ) = Z3native.ast_to_string (gnc x) (gno x)
@ -933,34 +959,39 @@ struct
let mk_val ( ctx : context ) ( value : bool ) =
if value then mk_true ctx else mk_false ctx
let mk_not ( ctx : context ) ( a : expr ) =
expr_of_ptr ctx (Z3native.mk_not (context_gno ctx) (gno a))
let mk_not ( ctx : context ) ( a : expr ) = apply_un ctx Z3native.mk_not a
let mk_ite ( ctx : context ) ( t1 : expr ) ( t2 : expr ) ( t3 : expr ) =
expr_of_ptr ctx (Z3native.mk_ite (context_gno ctx) (gno t1) (gno t2) (gno t3))
let mk_ite ( ctx : context ) ( t1 : expr ) ( t2 : expr ) ( t3 : expr ) =
apply_ter ctx Z3native.mk_ite t1 t2 t3
let mk_iff ( ctx : context ) ( t1 : expr ) ( t2 : expr ) =
expr_of_ptr ctx (Z3native.mk_iff (context_gno ctx) (gno t1) (gno t2))
apply_bin ctx Z3native.mk_iff t1 t2
let mk_implies ( ctx : context ) ( t1 : expr ) ( t2 : expr ) =
expr_of_ptr ctx (Z3native.mk_implies (context_gno ctx) (gno t1) (gno t2))
apply_bin ctx Z3native.mk_implies t1 t2
let mk_xor ( ctx : context ) ( t1 : expr ) ( t2 : expr ) =
expr_of_ptr ctx (Z3native.mk_xor (context_gno ctx) (gno t1) (gno t2))
apply_bin ctx Z3native.mk_xor t1 t2
let mk_and ( ctx : context ) ( args : expr list ) =
let f x = (Expr.gno (x)) in
expr_of_ptr ctx (Z3native.mk_and (context_gno ctx) (List.length args) (Array.of_list (List.map f args)))
let r = expr_of_ptr ctx (Z3native.mk_and (context_gno ctx) (List.length args) (Array.of_list (List.map f args))) in
ignore args;
r
let mk_or ( ctx : context ) ( args : expr list ) =
let f x = (Expr.gno (x)) in
expr_of_ptr ctx (Z3native.mk_or (context_gno ctx) (List.length args) (Array.of_list(List.map f args)))
let r = expr_of_ptr ctx (Z3native.mk_or (context_gno ctx) (List.length args) (Array.of_list(List.map f args))) in
ignore args;
r
let mk_eq ( ctx : context ) ( x : expr ) ( y : expr ) =
expr_of_ptr ctx (Z3native.mk_eq (context_gno ctx) (Expr.gno x) (Expr.gno y))
apply_bin ctx Z3native.mk_eq x y
let mk_distinct ( ctx : context ) ( args : expr list ) =
expr_of_ptr ctx (Z3native.mk_distinct (context_gno ctx) (List.length args) (expr_lton args))
let r = expr_of_ptr ctx (Z3native.mk_distinct (context_gno ctx) (List.length args) (expr_lton args)) in
ignore args;
r
let get_bool_value ( x : expr ) = lbool_of_int (Z3native.get_bool_value (gnc x) (gno x))
@ -1066,10 +1097,12 @@ struct
mk_list f n
let get_body ( x : quantifier ) =
expr_of_ptr (gc x) (Z3native.get_quantifier_body (gnc x) (gno x))
apply_un (gc x) Z3native.get_quantifier_body x
let mk_bound ( ctx : context ) ( index : int ) ( ty : Sort.sort ) =
expr_of_ptr ctx (Z3native.mk_bound (context_gno ctx) index (Sort.gno ty))
let r = expr_of_ptr ctx (Z3native.mk_bound (context_gno ctx) index (Sort.gno ty)) in
ignore ty;
r
let mk_pattern ( ctx : context ) ( terms : expr list ) =
if (List.length terms) == 0 then
@ -1194,23 +1227,27 @@ struct
mk_const ctx (Symbol.mk_string ctx name) domain range
let mk_select ( ctx : context ) ( a : expr ) ( i : expr ) =
expr_of_ptr ctx (Z3native.mk_select (context_gno ctx) (Expr.gno a) (Expr.gno i))
apply_bin ctx Z3native.mk_select a i
let mk_store ( ctx : context ) ( a : expr ) ( i : expr ) ( v : expr ) =
expr_of_ptr ctx (Z3native.mk_store (context_gno ctx) (Expr.gno a) (Expr.gno i) (Expr.gno v))
apply_ter ctx Z3native.mk_store a i v
let mk_const_array ( ctx : context ) ( domain : Sort.sort ) ( v : expr ) =
expr_of_ptr ctx (Z3native.mk_const_array (context_gno ctx) (Sort.gno domain) (Expr.gno v))
let r = expr_of_ptr ctx (Z3native.mk_const_array (context_gno ctx) (Sort.gno domain) (Expr.gno v)) in
ignore2 domain v;
r
let mk_map ( ctx : context ) ( f : func_decl ) ( args : expr list ) =
let m x = (Expr.gno x) in
expr_of_ptr ctx (Z3native.mk_map (context_gno ctx) (FuncDecl.gno f) (List.length args) (Array.of_list (List.map m args)))
let r = expr_of_ptr ctx (Z3native.mk_map (context_gno ctx) (FuncDecl.gno f) (List.length args) (Array.of_list (List.map m args))) in
ignore2 f args;
r
let mk_term_array ( ctx : context ) ( arg : expr ) =
expr_of_ptr ctx (Z3native.mk_array_default (context_gno ctx) (Expr.gno arg))
apply_un ctx Z3native.mk_array_default arg
let mk_array_ext ( ctx : context) ( arg1 : expr ) ( arg2 : expr ) =
expr_of_ptr ctx (Z3native.mk_array_ext (context_gno ctx) (Expr.gno arg1) (Expr.gno arg2))
apply_bin ctx Z3native.mk_array_ext arg1 arg2
end
@ -1233,13 +1270,15 @@ struct
expr_of_ptr ctx (Z3native.mk_full_set (context_gno ctx) (Sort.gno domain))
let mk_set_add ( ctx : context ) ( set : expr ) ( element : expr ) =
expr_of_ptr ctx (Z3native.mk_set_add (context_gno ctx) (Expr.gno set) (Expr.gno element))
apply_bin ctx Z3native.mk_set_add set element
let mk_del ( ctx : context ) ( set : expr ) ( element : expr ) =
expr_of_ptr ctx (Z3native.mk_set_del (context_gno ctx) (Expr.gno set) (Expr.gno element))
apply_bin Z3native.mk_set_del set element
let mk_union ( ctx : context ) ( args : expr list ) =
expr_of_ptr ctx (Z3native.mk_set_union (context_gno ctx) (List.length args) (expr_lton args))
let r = expr_of_ptr ctx (Z3native.mk_set_union (context_gno ctx) (List.length args) (expr_lton args)) in
ignore r;
r
let mk_intersection ( ctx : context ) ( args : expr list ) =
expr_of_ptr ctx (Z3native.mk_set_intersect (context_gno ctx) (List.length args) (expr_lton args))

17
src/ast/seq_decl_plugin.cpp
View file

@ -42,7 +42,7 @@ zstring::zstring(unsigned num_bits, bool const* ch) {
m_encoding = (num_bits == 8)?ascii:unicode;
unsigned n = 0;
for (unsigned i = 0; i < num_bits; ++i) {
n |= (((unsigned)ch[i]) << num_bits);
n |= (((unsigned)ch[i]) << i);
}
m_buffer.push_back(n);
}
@ -81,12 +81,23 @@ zstring zstring::replace(zstring const& src, zstring const& dst) const {
return result;
}
static char* esc_table[32] = { "\\0", "^A", "^B", "^C", "^D", "^E", "^F", "\\a", "\\b", "\\t", "\\n", "\\v", "\\f", "\\r", "^N",
"^O", "^P", "^Q", "^R", "^S", "^T", "^U", "^V","^W","^X","^Y","^Z","\\e","^\\","^]","^^","^_"};
std::string zstring::encode() const {
// TBD apply encodings.
SASSERT(m_encoding == ascii);
std::ostringstream strm;
for (unsigned i = 0; i < m_buffer.size(); ++i) {
strm << (char)(m_buffer[i]);
unsigned char ch = m_buffer[i];
if (0 <= ch && ch < 32) {
strm << esc_table[ch];
}
else if (ch == 127) {
strm << "^?";
}
else {
strm << (char)(ch);
}
}
return strm.str();
}

4
src/smt/smt_model_generator.cpp
View file

@ -90,7 +90,9 @@ namespace smt {
sort * s = m_manager.get_sort(r->get_owner());
model_value_proc * proc = 0;
if (m_manager.is_bool(s)) {
SASSERT(m_context->get_assignment(r) == l_true || m_context->get_assignment(r) == l_false);
CTRACE("func_interp_bug", m_context->get_assignment(r) == l_undef,
tout << mk_pp(r->get_owner(), m_manager) << "\n";);
SASSERT(m_context->get_assignment(r) != l_undef);
if (m_context->get_assignment(r) == l_true)
proc = alloc(expr_wrapper_proc, m_manager.mk_true());
else

98
src/smt/theory_seq.cpp
View file

@ -132,6 +132,7 @@ theory_seq::theory_seq(ast_manager& m):
m_incomplete(false),
m_has_length(false),
m_model_completion(false),
m_mg(0),
m_rewrite(m),
m_util(m),
m_autil(m),
@ -181,7 +182,7 @@ final_check_status theory_seq::final_check_eh() {
}
if (!check_length_coherence_tbd()) {
TRACE("seq", tout << "check_length_coherence\n";);
return FC_GIVEUP;
return FC_CONTINUE;
}
if (is_solved()) {
TRACE("seq", tout << "is_solved\n";);
@ -400,15 +401,15 @@ void theory_seq::propagate_lit(enode_pair_dependency* dep, literal lit) {
ctx.assign(lit, js);
}
void theory_seq::set_conflict(enode_pair_dependency* dep) {
void theory_seq::set_conflict(enode_pair_dependency* dep, literal_vector const& lits) {
context& ctx = get_context();
vector<enode_pair, false> _eqs;
m_dm.linearize(dep, _eqs);
TRACE("seq", display_deps(tout, dep););
TRACE("seq", ctx.display_literals_verbose(tout, lits.size(), lits.c_ptr()); display_deps(tout, dep); ;);
ctx.set_conflict(
ctx.mk_justification(
ext_theory_conflict_justification(
get_id(), ctx.get_region(), 0, 0, _eqs.size(), _eqs.c_ptr(), 0, 0)));
get_id(), ctx.get_region(), lits.size(), lits.c_ptr(), _eqs.size(), _eqs.c_ptr(), 0, 0)));
}
void theory_seq::propagate_eq(enode_pair_dependency* dep, enode* n1, enode* n2) {
@ -524,6 +525,10 @@ bool theory_seq::is_right_select(expr* a, expr*& b) {
to_app(a)->get_decl()->get_parameter(0).get_symbol() == m_right_sym && (b = to_app(a)->get_arg(0), true);
}
bool theory_seq::is_head_elem(expr* e) const {
return m_util.is_skolem(e) && to_app(e)->get_decl()->get_parameter(0).get_symbol() == symbol("seq.head.elem");
}
void theory_seq::add_solution(expr* l, expr* r, enode_pair_dependency* deps) {
context& ctx = get_context();
m_rep.update(l, r, deps);
@ -583,17 +588,17 @@ bool theory_seq::solve_ne(unsigned idx) {
TRACE("seq", display_disequation(tout, n););
SASSERT(!n.is_solved());
unsigned num_undef_lits = 0;
for (unsigned i = 0; i < n.m_lits.size(); ++i) {
switch (ctx.get_assignment(n.m_lits[i])) {
case l_true:
erase_lit(idx, i);
--i;
break;
case l_false:
// mark as solved in
mark_solved(idx);
return false;
case l_true:
break;
case l_undef:
++num_undef_lits;
break;
}
}
@ -630,29 +635,25 @@ bool theory_seq::solve_ne(unsigned idx) {
}
else {
literal lit(mk_eq(nl, nr, false));
m_trail_stack.push(push_lit(*this, idx, ~lit));
m_trail_stack.push(push_lit(*this, idx, lit));
ctx.mark_as_relevant(lit);
}
}
m_trail_stack.push(push_dep(*this, idx, deps));
erase_index(idx, i);
--i;
change = true;
}
}
if (n.m_lits.empty() && n.m_lhs.empty()) {
set_conflict(n.m_dep);
if (num_undef_lits == 0 && n.m_lhs.empty()) {
literal_vector lits(n.m_lits);
lits.push_back(~mk_eq(n.m_l, n.m_r, false));
set_conflict(n.m_dep, lits);
return true;
}
return change;
}
void theory_seq::erase_lit(unsigned idx, unsigned i) {
ne const& n = m_nqs[idx];
if (n.m_lits.size() < i + 1) {
m_trail_stack.push(set_lit(*this, idx, i, n.m_lits.back()));
}
m_trail_stack.push(pop_lit(*this, idx));
}
void theory_seq::mark_solved(unsigned idx) {
m_trail_stack.push(solved_ne(*this, idx));
@ -810,8 +811,12 @@ model_value_proc * theory_seq::mk_value(enode * n, model_generator & mg) {
enode_pair_dependency* deps = 0;
expr_ref e(n->get_owner(), m);
flet<bool> _model_completion(m_model_completion, true);
m_rep.reset_cache();
m_mg = &mg;
e = canonize(e, deps);
m_mg = 0;
SASSERT(is_app(e));
TRACE("seq", tout << mk_pp(n->get_owner(), m) << " -> " << e << "\n";);
m_factory->add_trail(e);
return alloc(expr_wrapper_proc, to_app(e));
}
@ -852,15 +857,17 @@ expr_ref theory_seq::canonize(expr* e, enode_pair_dependency*& eqs) {
return result;
}
expr_ref theory_seq::expand(expr* e, enode_pair_dependency*& eqs) {
expr_ref theory_seq::expand(expr* e0, enode_pair_dependency*& eqs) {
expr_ref result(m);
enode_pair_dependency* deps = 0;
expr_dep ed;
if (m_rep.find_cache(e, ed)) {
if (m_rep.find_cache(e0, ed)) {
eqs = m_dm.mk_join(eqs, ed.second);
return expr_ref(ed.first, m);
result = ed.first;
TRACE("seq", tout << mk_pp(e0, m) << " |-> " << result << " "; display_deps(tout, eqs););
return result;
}
e = m_rep.find(e, deps);
expr_ref result(m);
expr* e = m_rep.find(e0, deps);
expr* e1, *e2;
if (m_util.str.is_concat(e, e1, e2)) {
result = m_util.str.mk_concat(expand(e1, deps), expand(e2, deps));
@ -889,15 +896,43 @@ expr_ref theory_seq::expand(expr* e, enode_pair_dependency*& eqs) {
result = e;
}
}
else if (m_model_completion && m_util.str.is_unit(e, e1)) {
result = expand(e1, deps);
bv_util bv(m);
rational val;
unsigned sz;
if (bv.is_numeral(result, val, sz) && sz == zstring().num_bits()) {
svector<bool> val_as_bits;
for (unsigned i = 0; i < sz; ++i) {
val_as_bits.push_back(!val.is_even());
val = div(val, rational(2));
}
result = m_util.str.mk_string(zstring(sz, val_as_bits.c_ptr()));
}
else {
result = m_util.str.mk_unit(result);
}
}
else if (m_model_completion && is_head_elem(e)) {
enode* n = get_context().get_enode(e)->get_root();
result = n->get_owner();
if (!m.is_model_value(result)) {
result = m_mg->get_some_value(m.get_sort(result));
}
m_rep.update(e, result, 0);
TRACE("seq", tout << mk_pp(e, m) << " |-> " << result << "\n";);
}
else {
result = e;
}
if (result == e) {
if (result == e0) {
deps = 0;
}
expr_dep edr(result, deps);
m_rep.add_cache(e, edr);
m_rep.add_cache(e0, edr);
eqs = m_dm.mk_join(eqs, deps);
TRACE("seq", tout << mk_pp(e0, m) << " |--> " << result << "\n";
display_deps(tout, eqs););
return result;
}
@ -1116,8 +1151,9 @@ void theory_seq::add_length_concat_axiom(expr* n) {
expr_ref len(m_util.str.mk_length(n), m);
expr_ref _a(m_util.str.mk_length(a), m);
expr_ref _b(m_util.str.mk_length(b), m);
expr_ref a_p_b(m_autil.mk_add(_a, _b), m);
add_axiom(mk_eq(len, a_p_b, false));
expr_ref ab(m_autil.mk_add(_a, _b), m);
m_rewrite(ab);
add_axiom(mk_eq(ab, len, false));
}
/*
@ -1144,8 +1180,10 @@ void theory_seq::add_length_axiom(expr* n) {
}
}
expr* theory_seq::mk_sub(expr* a, expr* b) {
return m_autil.mk_add(a, m_autil.mk_mul(m_autil.mk_int(-1), b));
expr_ref theory_seq::mk_sub(expr* a, expr* b) {
expr_ref result(m_autil.mk_sub(a, b), m);
m_rewrite(result);
return result;
}
enode* theory_seq::ensure_enode(expr* e) {
@ -1325,7 +1363,7 @@ void theory_seq::new_diseq_eh(theory_var v1, theory_var v2) {
enode* n2 = get_enode(v2);
expr_ref e1(n1->get_owner(), m);
expr_ref e2(n2->get_owner(), m);
m_nqs.push_back(ne(e1, e2, m_dm.mk_leaf(enode_pair(n1, n2))));
m_nqs.push_back(ne(e1, e2));
m_exclude.update(e1, e2);
}

17
src/smt/theory_seq.h
View file

@ -70,6 +70,7 @@ namespace smt {
bool find_cache(expr* v, expr_dep& r) { return m_cache.find(v, r); }
expr* find(expr* e, enode_pair_dependency*& d);
void cache(expr* e, expr* r, enode_pair_dependency* d);
void reset_cache() { m_cache.reset(); }
void push_scope() { m_limit.push_back(m_updates.size()); }
void pop_scope(unsigned num_scopes);
void display(std::ostream& out) const;
@ -108,19 +109,22 @@ namespace smt {
// asserted or derived disqequality with dependencies
struct ne {
bool m_solved;
expr_ref m_l, m_r;
expr_ref_vector m_lhs;
expr_ref_vector m_rhs;
literal_vector m_lits;
enode_pair_dependency* m_dep;
ne(expr_ref& l, expr_ref& r, enode_pair_dependency* d):
m_solved(false), m_lhs(l.get_manager()), m_rhs(r.get_manager()), m_dep(d) {
ne(expr_ref& l, expr_ref& r):
m_solved(false), m_l(l), m_r(r), m_lhs(l.get_manager()), m_rhs(r.get_manager()), m_dep(0) {
m_lhs.push_back(l);
m_rhs.push_back(r);
}
ne(ne const& other):
m_solved(other.m_solved), m_lhs(other.m_lhs), m_rhs(other.m_rhs), m_lits(other.m_lits), m_dep(other.m_dep) {}
m_solved(other.m_solved), m_l(other.m_l), m_r(other.m_r), m_lhs(other.m_lhs), m_rhs(other.m_rhs), m_lits(other.m_lits), m_dep(other.m_dep) {}
ne& operator=(ne const& other) {
m_solved = other.m_solved;
m_l = other.m_l;
m_r = other.m_r;
m_lhs.reset(); m_lhs.append(other.m_lhs);
m_rhs.reset(); m_rhs.append(other.m_rhs);
m_lits.reset(); m_lits.append(other.m_lits);
@ -158,7 +162,6 @@ namespace smt {
}
virtual void undo(theory_seq & th) { th.m_nqs.ref(m_idx).m_lits[m_i] = m_lit; }
};
void erase_lit(unsigned idx, unsigned i);
class solved_ne : public trail<theory_seq> {
unsigned m_idx;
@ -255,6 +258,7 @@ namespace smt {
bool m_incomplete; // is the solver (clearly) incomplete for the fragment.
bool m_has_length; // is length applied
bool m_model_completion; // during model construction, invent values in canonizer
model_generator* m_mg;
th_rewriter m_rewrite;
seq_util m_util;
arith_util m_autil;
@ -313,7 +317,7 @@ namespace smt {
void propagate_lit(enode_pair_dependency* dep, literal lit);
void propagate_eq(enode_pair_dependency* dep, enode* n1, enode* n2);
void propagate_eq(bool_var v, expr* e1, expr* e2);
void set_conflict(enode_pair_dependency* dep);
void set_conflict(enode_pair_dependency* dep, literal_vector const& lits = literal_vector());
bool find_branch_candidate(expr* l, expr_ref_vector const& rs);
bool assume_equality(expr* l, expr* r);
@ -324,6 +328,7 @@ namespace smt {
void add_solution(expr* l, expr* r, enode_pair_dependency* dep);
bool is_left_select(expr* a, expr*& b);
bool is_right_select(expr* a, expr*& b);
bool is_head_elem(expr* a) const;
expr_ref canonize(expr* e, enode_pair_dependency*& eqs);
expr_ref expand(expr* e, enode_pair_dependency*& eqs);
void add_dependency(enode_pair_dependency*& dep, enode* a, enode* b);
@ -345,7 +350,7 @@ namespace smt {
void add_at_axiom(expr* n);
literal mk_literal(expr* n);
void tightest_prefix(expr* s, expr* x, literal lit, literal lit2 = null_literal);
expr* mk_sub(expr* a, expr* b);
expr_ref mk_sub(expr* a, expr* b);
enode* ensure_enode(expr* a);
expr_ref mk_skolem(symbol const& s, expr* e1, expr* e2 = 0, expr* e3 = 0, sort* range = 0);