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Merge branch 'master' into nl2lin

# Conflicts:
#	src/math/lp/nla_coi.cpp
#	src/math/lp/nla_coi.h
#	src/math/lp/nla_core.cpp
#	src/math/lp/nla_grobner.cpp
#	src/math/lp/nla_grobner.h
#	src/math/lp/nla_pp.cpp
#	src/math/lp/nra_solver.cpp
#	src/nlsat/nlsat_explain.h
#	src/smt/theory_lra.cpp
This commit is contained in:
Lev Nachmanson 2025-12-16 11:47:13 -10:00
commit a6f44f8c88
373 changed files with 31824 additions and 22376 deletions

File diff suppressed because it is too large Load diff

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@ -44,8 +44,9 @@ namespace nlsat {
void set_full_dimensional(bool f);
void set_minimize_cores(bool f);
void set_factor(bool f);
void set_signed_project(bool f);
void set_linear_project(bool f);
void set_add_all_coeffs(bool f);
void set_add_zero_disc(bool f);
/**
\brief Given a set of literals ls[0], ... ls[n-1] s.t.
@ -110,4 +111,3 @@ namespace nlsat {
};
};

View file

@ -9,6 +9,7 @@ def_module_params('nlsat',
('lazy', UINT, 0, "how lazy the solver is."),
('reorder', BOOL, True, "reorder variables."),
('log_lemmas', BOOL, False, "display lemmas as self-contained SMT formulas"),
('log_lemma_smtrat', BOOL, False, "log lemmas to be readable by smtrat"),
('dump_mathematica', BOOL, False, "display lemmas as matematica"),
('check_lemmas', BOOL, False, "check lemmas on the fly using an independent nlsat solver"),
('simplify_conflicts', BOOL, True, "simplify conflicts using equalities before resolving them in nlsat solver."),
@ -19,5 +20,8 @@ def_module_params('nlsat',
('inline_vars', BOOL, False, "inline variables that can be isolated from equations (not supported in incremental mode)"),
('seed', UINT, 0, "random seed."),
('factor', BOOL, True, "factor polynomials produced during conflict resolution."),
('add_all_coeffs', BOOL, False, "add all polynomial coefficients during projection."),
('zero_disc', BOOL, False, "add_zero_assumption to the vanishing discriminant."),
('known_sat_assignment_file_name', STRING, "", "the file name of a known solution: used for debugging only")
))

View file

@ -219,9 +219,11 @@ namespace nlsat {
unsigned m_random_seed;
bool m_inline_vars;
bool m_log_lemmas;
bool m_log_lemma_smtrat;
bool m_dump_mathematica;
bool m_check_lemmas;
unsigned m_max_conflicts;
unsigned m_lemma_rlimit;
unsigned m_lemma_count;
unsigned m_variable_ordering_strategy;
bool m_set_0_more;
@ -269,6 +271,7 @@ namespace nlsat {
reset_statistics();
mk_true_bvar();
m_lemma_count = 0;
m_lemma_rlimit = 100 * 1000; // one hundred seconds
}
~imp() {
@ -295,6 +298,7 @@ namespace nlsat {
m_random_seed = p.seed();
m_inline_vars = p.inline_vars();
m_log_lemmas = p.log_lemmas();
m_log_lemma_smtrat = p.log_lemma_smtrat();
m_dump_mathematica= p.dump_mathematica();
m_check_lemmas = p.check_lemmas();
m_variable_ordering_strategy = p.variable_ordering_strategy();
@ -306,6 +310,8 @@ namespace nlsat {
m_explain.set_simplify_cores(m_simplify_cores);
m_explain.set_minimize_cores(min_cores);
m_explain.set_factor(p.factor());
m_explain.set_add_all_coeffs(p.add_all_coeffs());
m_explain.set_add_zero_disc(p.zero_disc());
m_am.updt_params(p.p);
}
@ -333,7 +339,7 @@ namespace nlsat {
void checkpoint() {
if (!m_rlimit.inc()) throw solver_exception(m_rlimit.get_cancel_msg());
if (memory::get_allocation_size() > m_max_memory) throw solver_exception(Z3_MAX_MEMORY_MSG);
if (memory::get_allocation_size()/(1 << 20) > m_max_memory) throw solver_exception(Z3_MAX_MEMORY_MSG);
}
// -----------------------
@ -749,6 +755,14 @@ namespace nlsat {
m_atoms[b] = new_atom;
new_atom->m_bool_var = b;
m_pm.inc_ref(new_atom->p());
TRACE(nlsat_solver,
tout << "created root literal b" << b << ": ";
display(tout, literal(b, false)) << "\n";
tout << " kind: " << k << ", index: " << i << ", variable: x" << x << "\n";
tout << " polynomial: ";
display_polynomial(tout, new_atom->p(), m_display_var);
tout << "\n";
);
return b;
}
@ -970,8 +984,7 @@ namespace nlsat {
lbool val = l_undef;
// Arithmetic atom: evaluate directly
var max = a->max_var();
SASSERT(debug_assignment.is_assigned(max));
SASSERT(debug_assignment.is_assigned(a->max_var()));
val = to_lbool(debug_evaluator.eval(a, l.sign()));
SASSERT(val != l_undef);
if (val == l_true)
@ -1109,25 +1122,39 @@ namespace nlsat {
}
}
void log_lemma(std::ostream& out, clause const& cls) {
log_lemma(out, cls.size(), cls.data(), false);
void log_lemma(std::ostream& out, clause const& cls, std::string annotation) {
log_lemma(out, cls.size(), cls.data(), true, annotation);
}
void log_lemma(std::ostream& out, unsigned n, literal const* cls, bool is_valid) {
++m_lemma_count;
out << "(set-logic NRA)\n";
if (is_valid) {
display_smt2_bool_decls(out);
display_smt2_arith_decls(out);
void log_lemma(std::ostream& out, unsigned n, literal const* cls, bool is_valid, std::string annotation) {
bool_vector used_vars(num_vars(), false);
bool_vector used_bools(usize(m_atoms), false);
var_vector vars;
for (unsigned j = 0; j < n; j++) {
literal lit = cls[j];
bool_var b = lit.var();
if (b != null_bool_var && b < used_bools.size())
used_bools[b] = true;
vars.reset();
this->vars(lit, vars);
for (var v : vars)
used_vars[v] = true;
}
else
display_smt2(out);
display(out << "(echo \"#" << m_lemma_count++ << ":" << annotation << ":", n, cls) << "\")\n";
if (m_log_lemma_smtrat)
out << "(set-logic NRA)\n";
else
out << "(set-logic ALL)\n";
out << "(set-option :rlimit " << m_lemma_rlimit << ")\n";
if (is_valid) {
display_smt2_bool_decls(out, used_bools);
display_smt2_arith_decls(out, used_vars);
}
for (unsigned i = 0; i < n; ++i)
display_smt2(out << "(assert ", ~cls[i]) << ")\n";
display(out << "(echo \"#" << m_lemma_count << " ", n, cls) << "\")\n";
out << "(check-sat)\n(reset)\n";
TRACE(nlsat, display(tout << "(echo \"#" << m_lemma_count << " ", n, cls) << "\")\n");
}
clause * mk_clause_core(unsigned num_lits, literal const * lits, bool learned, _assumption_set a) {
@ -1151,12 +1178,6 @@ namespace nlsat {
TRACE(nlsat_sort, display(tout << "mk_clause:\n", *cls) << "\n";);
std::sort(cls->begin(), cls->end(), lit_lt(*this));
TRACE(nlsat, display(tout << " after sort:\n", *cls) << "\n";);
if (learned && m_log_lemmas) {
log_lemma(verbose_stream(), *cls);
}
if (learned && m_check_lemmas) {
check_lemma(cls->size(), cls->data(), false, cls->assumptions());
}
if (learned)
m_learned.push_back(cls);
else
@ -1552,7 +1573,7 @@ namespace nlsat {
unsigned first_undef = UINT_MAX; // position of the first undefined literal
interval_set_ref first_undef_set(m_ism); // infeasible region of the first undefined literal
interval_set * xk_set = m_infeasible[m_xk]; // current set of infeasible interval for current variable
TRACE(nlsat_inf_set, tout << "m_infeasible["<< debug_get_var_name(m_xk) << "]:";
TRACE(nlsat_inf_set, tout << "m_infeasible[x"<< m_xk << "]:";
m_ism.display(tout, xk_set) << "\n";);
SASSERT(!m_ism.is_full(xk_set));
for (unsigned idx = 0; idx < cls.size(); ++idx) {
@ -1572,7 +1593,7 @@ namespace nlsat {
SASSERT(a != nullptr);
interval_set_ref curr_set(m_ism);
curr_set = m_evaluator.infeasible_intervals(a, l.sign(), &cls);
TRACE(nlsat_inf_set,
TRACE(nlsat_inf_set,
tout << "infeasible set for literal: "; display(tout, l); tout << "\n"; m_ism.display(tout, curr_set); tout << "\n";
display(tout << "cls: " , cls) << "\n";
tout << "m_xk:" << m_xk << "(" << debug_get_var_name(m_xk) << ")"<< "\n";);
@ -1598,7 +1619,16 @@ namespace nlsat {
TRACE(nlsat_inf_set, tout << "infeasible set + current set = R, skip literal\n";
display(tout, cls) << "\n";
display_assignment_for_clause(tout, cls);
m_ism.display(tout, tmp); tout << "\n";
m_ism.display(tout, tmp) << "\n";
literal_vector inf_lits;
ptr_vector<clause> inf_clauses;
m_ism.get_justifications(tmp, inf_lits, inf_clauses);
if (!inf_lits.empty()) {
tout << "Interval witnesses:\n";
for (literal inf_lit : inf_lits) {
display(tout << " ", inf_lit) << "\n";
}
}
);
R_propagate(~l, tmp, false);
continue;
@ -1868,6 +1898,14 @@ namespace nlsat {
<< " :learned " << m_learned.size() << ")\n");
}
void try_reorder() {
gc();
if (m_stats.m_restarts % 10)
return;
if (m_reordered)
restore_order();
apply_reorder();
}
lbool search_check() {
lbool r = l_undef;
@ -1879,6 +1917,9 @@ namespace nlsat {
if (r != l_true)
break;
++m_stats.m_restarts;
try_reorder();
vector<std::pair<var, rational>> bounds;
for (var x = 0; x < num_vars(); x++) {
@ -1904,13 +1945,6 @@ namespace nlsat {
if (bounds.empty())
break;
gc();
if (m_stats.m_restarts % 10 == 0) {
if (m_reordered)
restore_order();
apply_reorder();
}
init_search();
IF_VERBOSE(2, verbose_stream() << "(nlsat-b&b :conflicts " << m_stats.m_conflicts
<< " :decisions " << m_stats.m_decisions
@ -2254,45 +2288,107 @@ namespace nlsat {
display_mathematica_lemma(out, core.size(), core.data(), true);
return out;
}
void log_assignment_lemma_smt2(std::ostream& out, lazy_justification const & jst) {
// This lemma is written down only for debug purposes, it does not participate in the algorithm.
// We need to be sure that lazy certifacation is sound on the sample
// In this lemma we do not use literals created by projection
literal_vector core;
bool_vector used_vars(num_vars(), false);
bool_vector used_bools(usize(m_atoms), false);
var_vector vars;
for (unsigned i = 0; i < jst.num_lits(); ++i) {
literal lit = ~jst.lit(i);
core.push_back(lit);
bool_var b = lit.var();
if (b != null_bool_var && b < used_bools.size())
used_bools[b] = true;
vars.reset();
this->vars(lit, vars);
for (var v : vars)
used_vars[v] = true;
}
std::ostringstream comment;
bool any_var = false;
display_num_assignment(comment, &used_vars);
if (!any_var)
comment << " (none)";
comment << "; literals:";
if (jst.num_lits() == 0) {
comment << " (none)";
}
else {
for (unsigned i = 0; i < jst.num_lits(); ++i) {
comment << " ";
display(comment, jst.lit(i));
if (i < jst.num_lits() - 1)
comment << " /\\";
}
}
out << "(echo \"#" << m_lemma_count++ << ":assignment lemma " << comment.str() << "\")\n";
if (m_log_lemma_smtrat)
out << "(set-logic NRA)\n";
else
out << "(set-logic ALL)\n";
out << "(set-option :rlimit " << m_lemma_rlimit << ")\n";
display_smt2_bool_decls(out, used_bools);
display_smt2_arith_decls(out, used_vars);
display_bool_assignment(out, false, &used_bools);
display_num_assignment(out, &used_vars);
for (literal lit : core) {
literal asserted = ~lit;
bool is_root = asserted.var() != null_bool_var &&
m_atoms[asserted.var()] != nullptr &&
m_atoms[asserted.var()]->is_root_atom();
if (is_root) {
display_root_literal_block(out, asserted, m_display_var);
}
else {
out << "(assert ";
display_smt2(out, asserted);
out << ")\n";
}
}
out << "(check-sat)\n";
out << "(reset)\n";
}
void resolve_lazy_justification(bool_var b, lazy_justification const & jst) {
// ++ttt;
TRACE(nlsat_resolve, tout << "resolving lazy_justification for b" << b << "\n";);
unsigned sz = jst.num_lits();
// Dump lemma as Mathematica formula that must be true,
// if the current interpretation (really) makes the core in jst infeasible.
TRACE(nlsat_mathematica, tout << "assignment lemma\n"; print_out_as_math(tout, jst););
if (m_dump_mathematica) {
// verbose_stream() << "assignment lemma in matematica\n";
// if the current interpretation, the sample, makes the core in jst infeasible.
TRACE(nlsat_mathematica,
tout << "assignment lemma\n"; print_out_as_math(tout, jst) << "\n:assignment lemas as smt2\n";
log_assignment_lemma_smt2(tout, jst););
if (m_dump_mathematica)
print_out_as_math(verbose_stream(), jst) << std::endl;
// verbose_stream() << "\nend of assignment lemma\n";
}
m_lazy_clause.reset();
m_explain.main_operator(jst.num_lits(), jst.lits(), m_lazy_clause);
for (unsigned i = 0; i < sz; i++)
m_lazy_clause.push_back(~jst.lit(i));
// lazy clause is a valid clause
TRACE(nlsat_mathematica, display_mathematica_lemma(tout, m_lazy_clause.size(), m_lazy_clause.data()););
if (m_dump_mathematica) {
// verbose_stream() << "lazy clause\n";
display_mathematica_lemma(verbose_stream(), m_lazy_clause.size(), m_lazy_clause.data()) << std::endl;
// verbose_stream() << "\nend of lazy\n";
}
TRACE(nlsat_mathematica, tout << "ttt:" << m_lemma_count << "\n"; display_mathematica_lemma(tout, m_lazy_clause.size(), m_lazy_clause.data()););
if (m_dump_mathematica)
display_mathematica_lemma(std::cout, m_lazy_clause.size(), m_lazy_clause.data()) << std::endl;
TRACE(nlsat_proof_sk, tout << "theory lemma\n"; display_abst(tout, m_lazy_clause.size(), m_lazy_clause.data()); tout << "\n";);
TRACE(nlsat_resolve,
tout << "m_xk: " << m_xk << ", "; m_display_var(tout, m_xk) << "\n";
tout << "new valid clause:\n";
display(tout, m_lazy_clause.size(), m_lazy_clause.data()) << "\n";);
if (m_log_lemmas)
log_lemma(verbose_stream(), m_lazy_clause.size(), m_lazy_clause.data(), true);
if (m_log_lemmas) {
log_assignment_lemma_smt2(std::cout, jst);
log_lemma(verbose_stream(), m_lazy_clause.size(), m_lazy_clause.data(), true, "conflict");
}
if (m_check_lemmas) {
check_lemma(m_lazy_clause.size(), m_lazy_clause.data(), false, nullptr);
@ -2543,8 +2639,8 @@ namespace nlsat {
check_lemma(m_lemma.size(), m_lemma.data(), false, m_lemma_assumptions.get());
}
if (m_log_lemmas)
log_lemma(verbose_stream(), m_lemma.size(), m_lemma.data(), false);
// if (m_log_lemmas)
// log_lemma(std::cout, m_lemma.size(), m_lemma.data(), false);
// There are two possibilities:
// 1) m_lemma contains only literals from previous stages, and they
@ -2865,7 +2961,7 @@ namespace nlsat {
// verbose_stream() << "\npermutation: " << p[0] << " count " << count << " " << m_rlimit.is_canceled() << "\n";
reinit_cache();
SASSERT(num_vars() == sz);
TRACE(nlsat_bool_assignment_bug, tout << "before reset watches\n"; display_bool_assignment(tout););
TRACE(nlsat_bool_assignment_bug, tout << "before reset watches\n"; display_bool_assignment(tout, false, nullptr););
reset_watches();
assignment new_assignment(m_am);
for (var x = 0; x < num_vars(); x++) {
@ -2907,7 +3003,7 @@ namespace nlsat {
m_pm.rename(sz, p);
for (auto& b : m_bounds)
b.x = p[b.x];
TRACE(nlsat_bool_assignment_bug, tout << "before reinit cache\n"; display_bool_assignment(tout););
TRACE(nlsat_bool_assignment_bug, tout << "before reinit cache\n"; display_bool_assignment(tout, false, nullptr););
reinit_cache();
m_assignment.swap(new_assignment);
reattach_arith_clauses(m_clauses);
@ -3318,9 +3414,34 @@ namespace nlsat {
//
// -----------------------
std::ostream& display_num_assignment(std::ostream & out, display_var_proc const & proc) const {
std::ostream& display_num_assignment(std::ostream & out, display_var_proc const & proc, bool_vector const* used_vars = nullptr) const {
bool restrict = used_vars != nullptr;
for (var x = 0; x < num_vars(); x++) {
if (m_assignment.is_assigned(x)) {
if (restrict && (x >= used_vars->size() || !(*used_vars)[x]))
continue;
if (!m_assignment.is_assigned(x))
continue;
if (restrict) {
out << "(assert (= ";
proc(out, x);
out << " ";
if (m_am.is_rational(m_assignment.value(x))) {
mpq q;
m_am.to_rational(m_assignment.value(x), q);
m_am.qm().display_smt2(out, q, false);
}
else if (m_log_lemma_smtrat) {
std::ostringstream var_name;
proc(var_name, x);
std::string name = var_name.str();
m_am.display_root_smtrat(out, m_assignment.value(x), name.c_str());
}
else {
m_am.display_root_smt2(out, m_assignment.value(x));
}
out << "))\n";
}
else {
proc(out, x);
out << " -> ";
m_am.display_decimal(out, m_assignment.value(x));
@ -3330,8 +3451,21 @@ namespace nlsat {
return out;
}
std::ostream& display_bool_assignment(std::ostream & out, bool eval_atoms = false) const {
std::ostream& display_bool_assignment(std::ostream & out, bool eval_atoms = false, bool_vector const* used = nullptr) const {
unsigned sz = usize(m_atoms);
if (used != nullptr) {
for (bool_var b = 0; b < sz; b++) {
if (b >= used->size() || !(*used)[b])
continue;
if (m_atoms[b] != nullptr)
continue;
lbool val = m_bvalues[b];
if (val == l_undef)
continue;
out << "(assert (= b" << b << " " << (val == l_true ? "true" : "false") << "))\n";
}
return out;
}
if (!eval_atoms) {
for (bool_var b = 0; b < sz; b++) {
if (m_bvalues[b] == l_undef)
@ -3376,13 +3510,13 @@ namespace nlsat {
return !first;
}
std::ostream& display_num_assignment(std::ostream & out) const {
return display_num_assignment(out, m_display_var);
std::ostream& display_num_assignment(std::ostream & out, const bool_vector* used_vars=nullptr) const {
return display_num_assignment(out, m_display_var, used_vars);
}
std::ostream& display_assignment(std::ostream& out, bool eval_atoms = false) const {
display_bool_assignment(out, eval_atoms);
display_num_assignment(out);
display_bool_assignment(out, eval_atoms, nullptr);
display_num_assignment(out, nullptr);
return out;
}
@ -3586,44 +3720,93 @@ namespace nlsat {
}
std::ostream& display_root_smt2(std::ostream& out, root_atom const& a, display_var_proc const& proc) const {
if (a.i() == 1 && m_pm.degree(a.p(), a.x()) == 1)
return display_linear_root_smt2(out, a, proc);
#if 1
std::ostream& display_root_term_smtrat(std::ostream& out, root_atom const& a, display_var_proc const& proc) const {
out << "(root ";
display_polynomial_smt2(out, a.p(), proc);
out << " " << a.i() << " ";
proc(out, a.x());
out << ")";
return out;
}
std::ostream& display_root_atom_smtrat(std::ostream& out, root_atom const& a, display_var_proc const& proc) const {
char const* rel = "=";
switch (a.get_kind()) {
case atom::ROOT_LT: rel = "<"; break;
case atom::ROOT_GT: rel = ">"; break;
case atom::ROOT_LE: rel = "<="; break;
case atom::ROOT_GE: rel = ">="; break;
case atom::ROOT_EQ: rel = "="; break;
default: UNREACHABLE(); break;
}
out << "(" << rel << " ";
proc(out, a.x());
out << " ";
display_root_term_smtrat(out, a, proc);
out << ")";
return out;
}
struct root_poly_subst : public display_var_proc {
display_var_proc const& m_proc;
var m_var;
char const* m_name;
root_poly_subst(display_var_proc const& p, var v, char const* name):
m_proc(p), m_var(v), m_name(name) {}
std::ostream& operator()(std::ostream& dst, var x) const override {
if (x == m_var)
return dst << m_name;
return m_proc(dst, x);
}
};
template<typename Printer>
std::ostream& display_root_quantified(std::ostream& out, root_atom const& a, display_var_proc const& proc, Printer const& printer) const {
// if (a.i() == 1 && m_pm.degree(a.p(), a.x()) == 1)
// return display_linear_root_smt2(out, a, proc);
auto mk_y_name = [](unsigned j) {
return std::string("y") + std::to_string(j);
};
unsigned idx = a.i();
SASSERT(idx > 0);
out << "(exists (";
for (unsigned j = 0; j < a.i(); ++j) {
std::string y = std::string("y") + std::to_string(j);
for (unsigned j = 0; j < idx; ++j) {
auto y = mk_y_name(j);
out << "(" << y << " Real) ";
}
out << ")\n";
out << "(and\n";
for (unsigned j = 0; j < a.i(); ++j) {
std::string y = std::string("y") + std::to_string(j);
display_poly_root(out, y.c_str(), a, proc);
}
for (unsigned j = 0; j + 1 < a.i(); ++j) {
std::string y1 = std::string("y") + std::to_string(j);
std::string y2 = std::string("y") + std::to_string(j+1);
out << "(< " << y1 << " " << y2 << ")\n";
out << ")\n (and\n";
for (unsigned j = 0; j < idx; ++j) {
auto y = mk_y_name(j);
out << " (= ";
printer(out, y.c_str());
out << " 0)\n";
}
std::string yn = "y" + std::to_string(a.i() - 1);
for (unsigned j = 0; j + 1 < idx; ++j) {
auto y1 = mk_y_name(j);
auto y2 = mk_y_name(j + 1);
out << " (< " << y1 << " " << y2 << ")\n";
}
// TODO we need (forall z : z < yn . p(z) => z = y1 or ... z = y_{n-1})
// to say y1, .., yn are the first n distinct roots.
//
out << "(forall ((z Real)) (=> (and (< z " << yn << ") "; display_poly_root(out, "z", a, proc) << ") ";
if (a.i() == 1) {
out << "false))\n";
}
else {
out << "(or ";
for (unsigned j = 0; j + 1 < a.i(); ++j) {
std::string y1 = std::string("y") + std::to_string(j);
out << "(= z " << y1 << ") ";
}
out << ")))\n";
auto y0 = mk_y_name(0);
out << " (forall ((y Real)) (=> (< y " << y0 << ") (not (= ";
printer(out, "y");
out << " 0))))\n";
for (unsigned j = 0; j + 1 < idx; ++j) {
auto y1 = mk_y_name(j);
auto y2 = mk_y_name(j + 1);
out << " (forall ((y Real)) (=> (and (< " << y1 << " y) (< y " << y2 << ")) (not (= ";
printer(out, "y");
out << " 0))))\n";
}
std::string yn = mk_y_name(idx - 1);
out << " ";
switch (a.get_kind()) {
case atom::ROOT_LT: out << "(< "; proc(out, a.x()); out << " " << yn << ")"; break;
case atom::ROOT_GT: out << "(> "; proc(out, a.x()); out << " " << yn << ")"; break;
@ -3632,12 +3815,33 @@ namespace nlsat {
case atom::ROOT_EQ: out << "(= "; proc(out, a.x()); out << " " << yn << ")"; break;
default: UNREACHABLE(); break;
}
out << "))";
out << "\n )\n)";
return out;
#endif
}
std::ostream& display_root_smt2(std::ostream& out, root_atom const& a, display_var_proc const& proc) const {
if (m_log_lemma_smtrat)
return display_root_atom_smtrat(out, a, proc);
auto inline_printer = [&](std::ostream& dst, char const* y) -> std::ostream& {
root_poly_subst poly_proc(proc, a.x(), y);
return display_polynomial_smt2(dst, a.p(), poly_proc);
};
return display_root_quantified(out, a, proc, inline_printer);
}
return display_root(out, a, proc);
std::ostream& display_root_literal_block(std::ostream& out, literal lit, display_var_proc const& proc) const {
bool_var b = lit.var();
SASSERT(m_atoms[b] != nullptr && m_atoms[b]->is_root_atom());
auto const& a = *to_root_atom(m_atoms[b]);
out << "(assert ";
if (lit.sign())
out << "(not ";
display_root_smt2(out, a, proc);
if (lit.sign())
out << ")";
out << ")\n";
return out;
}
std::ostream& display_root(std::ostream & out, root_atom const & a, display_var_proc const & proc) const {
@ -4055,31 +4259,51 @@ namespace nlsat {
return m_display_var(out, j);
}
std::ostream& display_smt2_arith_decls(std::ostream & out) const {
std::ostream& display_smt2_arith_decls(std::ostream & out, bool_vector& used_vars) const {
unsigned sz = m_is_int.size();
for (unsigned i = 0; i < sz; i++) {
if (is_int(i)) {
out << "(declare-fun "; m_display_var(out, i) << " () Int)\n";
if (!used_vars[i]) continue;
out << "(declare-fun ";
m_display_var(out, i);
out << " () ";
if (!m_log_lemma_smtrat && is_int(i)) {
out << "Int";
}
else {
out << "(declare-fun "; m_display_var(out, i) << " () Real)\n";
out << "Real";
}
out << ")\n";
}
return out;
}
std::ostream& display_smt2_bool_decls(std::ostream & out) const {
std::ostream& display_smt2_bool_decls(std::ostream & out, const bool_vector& used_bools) const {
unsigned sz = usize(m_atoms);
for (unsigned i = 0; i < sz; i++) {
if (m_atoms[i] == nullptr)
if (m_atoms[i] == nullptr && used_bools[i])
out << "(declare-fun b" << i << " () Bool)\n";
}
return out;
}
std::ostream& display_smt2(std::ostream & out) const {
display_smt2_bool_decls(out);
display_smt2_arith_decls(out);
bool_vector used_vars(num_vars(), false);
bool_vector used_bools(usize(m_atoms), false);
var_vector vars;
for (clause* c: m_clauses) {
for (literal lit : *c) {
bool_var b = lit.var();
if (b != null_bool_var && b < used_bools.size())
used_bools[b] = true;
vars.reset();
this->vars(lit, vars);
for (var v : vars)
used_vars[v] = true;
}
}
display_smt2_bool_decls(out, used_bools);
display_smt2_arith_decls(out, used_vars);
out << "(assert (and true\n";
for (clause* c : m_clauses) {
display_smt2(out, *c, m_display_var) << "\n";