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Merge branch 'poly' of https://github.com/z3prover/z3 into poly

This commit is contained in:
Nikolaj Bjorner 2024-03-13 16:20:54 -07:00
commit 82dc254d0e
10 changed files with 176 additions and 88 deletions

View file

@ -235,12 +235,6 @@ namespace intblast {
}
#if 0
namespace fs = std::filesystem;
static unsigned num_check = 0;
fs::path filename = std::string("validation/int-") + std::to_string(++num_check) + ".smt2";
fs::create_directories(filename.parent_path());
IF_VERBOSE(1, verbose_stream() << "validation check written to file " << filename << "\n");
std::ofstream file(filename);
std::string name_esc;
if (name) {
name_esc = name;
@ -251,19 +245,47 @@ namespace intblast {
else
name_esc = "<none>";
file << "(set-logic ALL)\n";
file << "(set-info :source |\n";
file << " Name: " << name_esc << "\n";
file << original_es << "\n|)\n";
namespace fs = std::filesystem;
static unsigned num_check = 0;
num_check += 1;
m_solver->push();
m_solver->assert_expr(es);
m_solver->display(file) << "(check-sat)\n";
m_solver->pop(1);
{
fs::path filename = std::string("validation/int-") + std::to_string(num_check) + ".smt2";
fs::create_directories(filename.parent_path());
IF_VERBOSE(1, verbose_stream() << "validation check written to file " << filename << "\n");
std::ofstream file(filename);
file.close();
file << "(set-logic ALL)\n";
file << "(set-info :source |\n";
file << " Name: " << name_esc << "\n";
file << original_es << "\n|)\n";
// if (num_check == 68)
m_solver->push();
m_solver->assert_expr(es);
m_solver->display(file) << "(check-sat)\n";
m_solver->pop(1);
file.close();
}
{
fs::path filename = std::string("validation/bv-") + std::to_string(num_check) + ".smt2";
std::ofstream file(filename);
file << "(set-logic ALL)\n";
file << "(set-info :source |\n";
file << " Name: " << name_esc << "\n";
file << original_es << "\n|)\n";
m_solver->push();
m_solver->assert_expr(original_es);
m_solver->display(file) << "(check-sat)\n";
m_solver->pop(1);
file.close();
}
// if (num_check == 62)
// std::abort();
r = l_false;
@ -286,6 +308,7 @@ namespace intblast {
IF_VERBOSE(2, verbose_stream() << "(sat.intblast :result " << r << ")\n");
if (r == l_true) {
verbose_stream() << "validation failed: " << name << "\n";
IF_VERBOSE(0,
model_ref mdl;
m_solver->get_model(mdl);
@ -469,10 +492,10 @@ namespace intblast {
continue;
if (sib->get_arg(0)->get_root() == r1)
continue;
auto a = eq_internalize(n, sib);
auto b = eq_internalize(sib->get_arg(0), n->get_arg(0));
ctx.mark_relevant(a);
ctx.mark_relevant(b);
auto a = eq_internalize(n, sib);
auto b = eq_internalize(sib->get_arg(0), n->get_arg(0));
ctx.mark_relevant(a);
ctx.mark_relevant(b);
add_clause(~a, b, nullptr);
return sat::check_result::CR_CONTINUE;
}
@ -490,10 +513,10 @@ namespace intblast {
auto nBv2int = ctx.get_enode(bv2int);
auto nxModN = ctx.get_enode(xModN);
if (nBv2int->get_root() != nxModN->get_root()) {
auto a = eq_internalize(nBv2int, nxModN);
ctx.mark_relevant(a);
add_unit(a);
return sat::check_result::CR_CONTINUE;
auto a = eq_internalize(nBv2int, nxModN);
ctx.mark_relevant(a);
add_unit(a);
return sat::check_result::CR_CONTINUE;
}
}
return sat::check_result::CR_DONE;
@ -501,7 +524,7 @@ namespace intblast {
bool solver::is_bounded(expr* x, rational const& N) {
return any_of(m_vars, [&](expr* v) {
return is_translated(v) && translated(v) == x && bv.get_bv_size(v) <= N;
return is_translated(v) && translated(v) == x && bv_size(v) <= N;
});
}
@ -570,7 +593,7 @@ namespace intblast {
* Perform simplifications that are claimed sound when the bit-vector interpretations of
* mod/div always guard the mod and dividend to be non-zero.
* Potentially shady area is for arithmetic expressions created by int2bv.
* They will be guarded by a modulus which dose not disappear.
* They will be guarded by a modulus which does not disappear.
*/
expr* solver::amod(expr* bv_expr, expr* x, rational const& N) {
rational v;

View file

@ -56,7 +56,7 @@ namespace polysat {
inline std::ostream& operator<<(std::ostream& out, constraint const& c) { return c.display(out); }
class signed_constraint {
class signed_constraint final {
bool m_sign = false;
ckind_t m_op = ule_t;
constraint* m_constraint = nullptr;
@ -92,6 +92,8 @@ namespace polysat {
op_constraint const& to_op() const { SASSERT(is_op()); return *reinterpret_cast<op_constraint*>(m_constraint); }
bool is_eq(pvar& v, rational& val);
std::ostream& display(std::ostream& out) const;
bool operator==(signed_constraint const& other) { return m_sign == other.m_sign && m_op == other.m_op && m_constraint == other.m_constraint; }
bool operator!=(signed_constraint const& other) { return !operator==(other); }
};
inline std::ostream& operator<<(std::ostream& out, signed_constraint const& c) { return c.display(out); }

View file

@ -324,27 +324,27 @@ namespace polysat {
c.get_bitvector_suffixes(x, x_suffixes);
rational x_val, y_val;
for (auto const& xslice : x_suffixes) {
if (c.size(xslice.v) == mon.num_bits())
if (c.size(xslice.child) == mon.num_bits())
continue;
auto const& xmax_value = c.var(xslice.v).manager().max_value();
auto const& xmax_value = c.var(xslice.child).manager().max_value();
if (mon.val <= xmax_value)
continue;
if (!c.try_eval(c.var(xslice.v), x_val) || x_val != mon.arg_vals[0])
if (!c.try_eval(c.var(xslice.child), x_val) || x_val != mon.arg_vals[0])
continue;
if (!y_computed)
c.get_bitvector_suffixes(y, y_suffixes);
y_computed = true;
for (auto const& yslice : y_suffixes) {
if (c.size(yslice.v) != c.size(xslice.v))
if (c.size(yslice.child) != c.size(xslice.child))
continue;
if (!c.try_eval(c.var(yslice.v), y_val) || y_val != mon.arg_vals[1])
if (!c.try_eval(c.var(yslice.child), y_val) || y_val != mon.arg_vals[1])
continue;
bool added = c.add_axiom("0p * 0q >= 2^k => ovfl(p,q), where |p| = |q| = k",
{ dependency({x, xslice}), dependency({y, yslice}),
~C.ule(mon.args[0], xmax_value),
~C.ule(mon.args[1], xmax_value),
~C.ugt(mon.var, xmax_value),
C.umul_ovfl(c.var(xslice.v), c.var(yslice.v)) },
C.umul_ovfl(c.var(xslice.child), c.var(yslice.child)) },
true);
if (added)
return true;

View file

@ -144,7 +144,7 @@ namespace polysat {
* [y] z' < y /\ yx < zx ==> Ω*(x,y) \/ (z' + 1)x < zx (TODO?)
*/
void saturation::try_ugt_y(pvar v, inequality const& i) {
auto y = c.var(v);
pdd const y = c.var(v);
pdd x = y;
pdd z = y;
if (!i.is_Xy_l_XZ(v, x, z))
@ -214,15 +214,17 @@ namespace polysat {
}
/**
* Expand the following axioms:
* Ovfl(x, y) & x <= y => y >= 2^{(N + 1) div 2}
* Ovfl(x, y) & msb(x) <= k => msb(y) >= N - k + 1
* Ovfl(x, y) & msb(x) <= k & msb(y) <= N - k + 1 => 0x * 0y >= 2^N
*
* ~Ovfl(x, y) & x <= y => x < 2^{(N + 1) div 2}
* ~Ovfl(x,y) & msb(x) >= k => msb(y) <= N - k + 1
* ~Ovfl(x,y) & msb(x) >= k & msb(y) >= N - k + 1 => 0x * 0y < 2^N
*/
* Expand the following axioms:
* Ovfl(x, y) & x <= y => y >= 2^{(N + 1) div 2}
* [ as approximation of Ovfl(x, y) & x <= y => y >= ceil(sqrt(2^N)) ]
* Ovfl(x, y) & msb(x) <= k => msb(y) >= N - k + 1
* Ovfl(x, y) & msb(x) <= k & msb(y) <= N - k + 1 => 0x * 0y >= 2^N
*
* ~Ovfl(x, y) & x <= y => x < 2^{(N + 1) div 2}
* [ as approximation of ~Ovfl(x, y) & x <= y => x < ceil(sqrt(2^N)) ]
* ~Ovfl(x,y) & msb(x) >= k => msb(y) <= N - k + 1
* ~Ovfl(x,y) & msb(x) >= k & msb(y) >= N - k + 1 => 0x * 0y < 2^N
*/
void saturation::try_umul_blast(umul_ovfl const& sc) {
auto x = sc.p();
auto y = sc.q();
@ -231,7 +233,7 @@ namespace polysat {
return;
if (!c.try_eval(y, vy))
return;
auto N = x.manager().power_of_2();
unsigned N = x.manager().power_of_2();
auto d = c.get_dependency(sc.id());
auto bx = vx.get_num_bits();
@ -258,7 +260,7 @@ namespace polysat {
}
else if (bx + by > N + 1)
add_clause("~Ovfl(x, y) & msb(x) >= k => msb(y) <= N - k + 1",
{d, ~C.msb_ge(x, bx), C.msb_le(y, N - bx + 1)}, true);
{ d, ~C.msb_ge(x, bx), C.msb_le(y, N - bx + 1) }, true);
else {
auto x1 = c.mk_zero_extend(1, x);
auto y1 = c.mk_zero_extend(1, y);
@ -271,9 +273,9 @@ namespace polysat {
if (bx <= 1) {
add_clause("Ovfl(x, y) => x > 1", { d, C.ugt(x, 1) }, true);
}
else if (bx < (N + 1) / 2) {
add_clause("Ovfl(x, y) & x <= y => y >= 2^{(N + 1) div 2}",
{ d, ~C.ule(x, y), C.uge(x, rational::power_of_two((N + 1) / 2)) }, true);
else if (by < N / 2) {
add_clause("Ovfl(x, y) & x <= y => y >= 2^{N div 2}",
{ d, ~C.ule(x, y), C.uge(y, rational::power_of_two(N / 2)) }, true);
}
else if (bx + by < N + 1) {
SASSERT(bx <= by);

View file

@ -36,34 +36,37 @@ namespace polysat {
class signed_constraint;
struct fixed_slice {
pvar child;
unsigned offset = 0;
unsigned length = 0;
rational value;
fixed_slice() = default;
fixed_slice(rational value, unsigned offset, unsigned length) : offset(offset), length(length), value(std::move(value)) {}
fixed_slice(pvar child, rational value, unsigned offset, unsigned length) :
child(child), offset(offset), length(length), value(std::move(value)) {}
unsigned end() const { return offset + length; }
};
struct fixed_claim : public fixed_slice {
pvar v;
pvar parent;
fixed_claim() = default;
fixed_claim(pvar v, rational value, unsigned offset, unsigned length) : fixed_slice(std::move(value), offset, length), v(v) {}
fixed_claim(pvar v, fixed_slice const& s) : fixed_slice(s), v(v) {}
fixed_claim(pvar v, rational value, unsigned offset, unsigned length) : fixed_slice(child, std::move(value), offset, length), parent(v) {}
fixed_claim(pvar v, fixed_slice const& s) : fixed_slice(s), parent(v) {}
};
struct offset_slice {
pvar v;
pvar child;
unsigned offset;
offset_slice() = default;
offset_slice(pvar v, unsigned offset) : v(v), offset(offset) {}
offset_slice(pvar v, unsigned offset) : child(v), offset(offset) {}
};
struct offset_claim : public offset_slice {
pvar w;
pvar parent;
offset_claim() = default;
offset_claim(pvar w, offset_slice const& s) : offset_slice(s), w(w) {}
offset_claim(pvar w, offset_slice const& s) : offset_slice(s), parent(w) {}
};
class dependency {
struct axiom_t {};
std::variant<axiom_t, sat::bool_var, theory_var_pair, offset_claim, fixed_claim> m_data;
@ -99,11 +102,11 @@ namespace polysat {
return out << "tv" << d.eq().first << " == tv" << d.eq().second;
else if (d.is_offset_claim()) {
auto offs = d.offset();
return out << "v" << offs.v << " == v" << offs.w << " offset " << offs.offset;
return out << "v" << offs.child << " == v" << offs.parent << " offset " << offs.offset;
}
else if (d.is_fixed_claim()) {
auto fixed = d.fixed();
return out << fixed.value << " == v" << fixed.v << " [" << fixed.length << "]@" << fixed.offset;
return out << fixed.value << " == v" << fixed.parent << " [" << fixed.length << "]@" << fixed.offset;
}
else {
UNREACHABLE();
@ -115,8 +118,8 @@ namespace polysat {
inline std::ostream& operator<<(std::ostream& out, offset_slice const& js) {
if (js.offset == 0)
return out << "v" << js.v;
return out << "v" << js.v << " at offset " << js.offset;
return out << "v" << js.child;
return out << "v" << js.child << " at offset " << js.offset;
}
using fixed_bits_vector = vector<fixed_slice>;
@ -125,8 +128,8 @@ namespace polysat {
unsigned level = 0; // level when sub-slice was fixed to value
dependency dep = null_dependency;
fixed_slice_extra() = default;
fixed_slice_extra(rational value, unsigned offset, unsigned length, unsigned level, dependency dep):
fixed_slice(std::move(value), offset, length), level(level), dep(std::move(dep)) {}
fixed_slice_extra(rational value, unsigned offset, unsigned length, unsigned level, dependency dep) :
fixed_slice(child, std::move(value), offset, length), level(level), dep(std::move(dep)) {}
};
using fixed_slice_extra_vector = vector<fixed_slice_extra>;
@ -137,6 +140,7 @@ namespace polysat {
};
using offset_slice_extra_vector = vector<offset_slice_extra>;
using dependency_vector = vector<dependency>;
using constraint_or_dependency = std::variant<signed_constraint, dependency>;
using constraint_id_or_constraint = std::variant<constraint_id, signed_constraint>;

View file

@ -227,6 +227,32 @@ namespace polysat {
lhs *= x;
SASSERT(lhs.leading_coefficient().is_power_of_two());
}
// shared parity of LHS/RHS __without__ the constant terms
unsigned const lhs_parity = (lhs - lhs.offset()).min_parity();
unsigned const rhs_parity = (rhs - rhs.offset()).min_parity();
unsigned const parity = std::min(lhs_parity, rhs_parity);
SASSERT(parity < N); // since at least one side is a non-constant
if (parity > lhs.offset().parity(N) || parity > rhs.offset().parity(N)) {
verbose_stream() << "lhs = " << lhs << " rhs = " << rhs << " parity = " << parity << "\n";
// 2^k p + a <= 2^k q + b with 0 <= a < 2^k and 0 <= b < 2^k
// --> 2^k p <= 2^k q if a <= b
// --> 2^k p < 2^k q if a > b
rational a = mod2k(lhs.offset(), parity);
rational b = mod2k(rhs.offset(), parity);
SASSERT(!a.is_zero() || !b.is_zero());
lhs = lhs - a;
rhs = rhs - b;
if (a > b) {
swap(lhs, rhs);
is_positive = !is_positive;
}
// one more round to detect trivial constraints
return simplify_impl(is_positive, lhs, rhs);
verbose_stream() << "lhs' = " << lhs << " rhs' = " << rhs << "\n";
}
} // simplify_impl
}
@ -256,6 +282,7 @@ namespace polysat {
pdd const old_lhs = lhs;
pdd const old_rhs = rhs;
#endif
// verbose_stream() << "simplify: sign " << !is_positive << " lhs " << lhs << " rhs " << rhs << "\n";
simplify_impl(is_positive, lhs, rhs);
#ifndef NDEBUG
if (old_is_positive != is_positive || old_lhs != lhs || old_rhs != rhs) {
@ -274,6 +301,14 @@ namespace polysat {
SASSERT(rhs.is_zero());
}
}
CTRACE("bv_verbose", !is_simplified(lhs, rhs), {
tout << "Result of simplify_impl is not fully simplified:\n " << ule_pp(to_lbool(is_positive), lhs, rhs) << "\n";
bool pos2 = is_positive;
pdd lhs2 = lhs;
pdd rhs2 = rhs;
simplify_impl(pos2, lhs2, rhs2);
tout << "It should be:\n " << ule_pp(to_lbool(pos2), lhs2, rhs2) << "\n";
});
SASSERT(is_simplified(lhs, rhs)); // rewriting should be idempotent
#endif
}
@ -352,6 +387,7 @@ namespace polysat {
}
void ule_constraint::activate(core& c, bool sign, dependency const& d) {
/*
auto p = c.subst(lhs());
auto q = c.subst(rhs());
auto& C = c.cs();
@ -359,6 +395,7 @@ namespace polysat {
c.add_axiom("lhs > rhs ==> -1 > rhs", { d, C.ult(rhs(), -1) }, false);
c.add_axiom("lhs > rhs ==> lhs > 0", { d, C.ult(0, lhs()) }, false);
}
*/
}

View file

@ -154,7 +154,7 @@ namespace polysat {
void viable::init_overlaps(pvar v) {
m_overlaps.reset();
c.get_bitvector_suffixes(v, m_overlaps);
std::sort(m_overlaps.begin(), m_overlaps.end(), [&](auto const& x, auto const& y) { return c.size(x.v) < c.size(y.v); });
std::sort(m_overlaps.begin(), m_overlaps.end(), [&](auto const& x, auto const& y) { return c.size(x.child) < c.size(y.child); });
}
@ -566,7 +566,7 @@ namespace polysat {
auto last = m_explain.back();
auto after = last;
verbose_stream() << m_explain_kind << "\n";
verbose_stream() << "viable::explain: " << m_explain_kind << " v" << m_var << "\n";
if (c.inconsistent())
verbose_stream() << "inconsistent explain\n";
@ -594,8 +594,12 @@ namespace polysat {
result.push_back(d);
}
result.append(e->deps);
if (!index.is_null())
if (!index.is_null()) {
VERIFY_EQ(e->src.size(), 1);
VERIFY_EQ(c.get_constraint(index), e->src[0]);
result.push_back(c.get_dependency(index));
// result.append(c.explain_weak_eval(c.get_constraint(index)));
}
};
if (last.e->interval.is_full()) {
@ -637,6 +641,13 @@ namespace polysat {
result.clear();
result.push_back(exp);
}
else {
// could not propagate to subslice
// conflict depends on evaluation
auto index = last.e->constraint_index;
if (!index.is_null())
result.append(c.explain_weak_eval(c.get_constraint(index)));
}
}
unmark();
if (c.inconsistent())
@ -672,7 +683,7 @@ namespace polysat {
// e.g., prefers constant 'c' if we have pvars for both 'c' and 'concat(c,...)'
std::sort(subslices.begin(), subslices.end(), [&](auto const& a, auto const& b) -> bool {
return a.level > b.level
|| (a.level == b.level && c.size(a.v) < c.size(b.v));
|| (a.level == b.level && c.size(a.child) < c.size(b.child));
});
for (auto const& slice : subslices)
@ -682,7 +693,7 @@ namespace polysat {
}
dependency viable::propagate_from_containing_slice(entry* e, rational const& value, dependency_vector const& e_deps, fixed_slice_extra_vector const& fixed, offset_slice_extra const& slice) {
pvar w = slice.v;
pvar w = slice.child;
unsigned offset = slice.offset;
unsigned w_level = slice.level; // level where value of w was fixed
if (w == m_var)
@ -816,7 +827,7 @@ namespace polysat {
unsigned remaining_z_off = z_sz - remaining_z_sz;
// find next fixed slice (prefer lower level)
fixed_slice_extra best;
unsigned best_off = UINT_MAX;
unsigned best_off = z_sz;
for (auto const& f : fixed) {
if (f.level >= w_level)
continue;
@ -881,8 +892,9 @@ namespace polysat {
});
if (ivl.is_full()) {
// TODO: set conflict
NOT_IMPLEMENTED_YET();
pdd zero = c.var2pdd(m_var).zero();
auto sc = cs.ult(zero, zero); // false
return c.propagate(sc, deps, "propagate from containing slice (conflict)");
}
else {
// proper interval
@ -910,8 +922,8 @@ namespace polysat {
}
/// Let x = concat(y, z) and x not in [lo;hi[.
/// Returns an interval I such that z not in I.
/// Let x = concat(y, z) and x not in [lo;hi[.
/// Returns an interval I such that z not in I.
r_interval viable::chop_off_upper(r_interval const& i, unsigned const Ny, unsigned const Nz, rational const* y_fixed_value) {
if (i.is_full())
return r_interval::full();
@ -1085,8 +1097,9 @@ namespace polysat {
}
/*
* Register constraint at index 'idx' as unitary in v.
*/
* Register constraint at index 'idx' as unitary in v.
* Returns 'multiple' when either intervals are unchanged or there really are multiple values left.
*/
find_t viable::add_unitary(pvar v, constraint_id idx, rational& var_value) {
if (c.is_assigned(v))
@ -1459,7 +1472,7 @@ namespace polysat {
e = e->next();
++count;
if (count > 10) {
out << " ...";
out << " ... (total: " << count << " entries)";
break;
}
}
@ -1472,9 +1485,7 @@ namespace polysat {
for (auto const& layer : m_units[v].get_layers()) {
if (!layer.entries)
continue;
out << "v" << v << ": ";
if (layer.bit_width != c.size(v))
out << "width[" << layer.bit_width << "] ";
out << "v" << v << "[" << layer.bit_width << "]: ";
display_all(out, layer.entries, " ");
out << "\n";
}
@ -1483,11 +1494,11 @@ namespace polysat {
}
std::ostream& viable::display_state(std::ostream& out) const {
out << "v" << m_var << ": ";
out << "v" << m_var << ":";
for (auto const& slice : m_overlaps) {
out << "v" << slice.v << ":" << c.size(slice.v) << "@" << slice.offset << " ";
if (c.is_assigned(slice.v))
out << "value(" << c.get_assignment().value(slice.v) << ") ";
out << " v" << slice.child << ":" << c.size(slice.child) << "@" << slice.offset;
if (c.is_assigned(slice.child))
out << " value=" << c.get_assignment().value(slice.child);
}
out << "\n";
return out;
@ -1496,7 +1507,7 @@ namespace polysat {
std::ostream& viable::display_explain(std::ostream& out) const {
display_state(out);
for (auto const& e : m_explain)
display_one(out << "v" << m_var << "[" << e.e->bit_width << "] : = " << e.value << " ", e.e) << "\n";
display_one(out << "v" << m_var << "[" << e.e->bit_width << "] := " << e.value << " ", e.e) << "\n";
return out;
}

View file

@ -115,7 +115,7 @@ namespace polysat {
unsigned length = bv.get_bv_size(r->get_expr());
rational value;
VERIFY(bv.is_numeral(r->get_expr(), value));
out.push_back({ fixed_slice(value, offset, length) });
out.push_back({ fixed_slice(null_var, value, offset, length) });
return false;
};
@ -186,6 +186,10 @@ namespace polysat {
m_bv_plugin->explain_slice(var2enode(v), offset, var2enode(w), consume_eq);
}
//
// explain that pv contains a fixed sub-slice at offset/length
// in addition, if slice.child is not null_var, then explain that
//
void solver::explain_fixed(pvar pv, fixed_slice const& slice, std::function<void(euf::enode*, euf::enode*)> const& consume_eq) {
euf::theory_var v = m_pddvar2var[pv];
expr_ref val(bv.mk_numeral(slice.value, slice.length), m);
@ -197,6 +201,11 @@ namespace polysat {
SASSERT(b);
m_bv_plugin->explain_slice(var2enode(v), slice.offset, b, consume_eq);
if (slice.child != null_var) {
auto c = var2enode(m_pddvar2var[slice.child]);
m_bv_plugin->explain_slice(b, 0, c, consume_eq);
}
}
}

View file

@ -1,4 +1,4 @@
/*++
/*++
Copyright (c) 2022 Microsoft Corporation
Module Name:
@ -741,7 +741,7 @@ namespace polysat {
auto gelo = mk_literal(bv.mk_ule(bv.mk_numeral(rational::power_of_two(lo), sz_x), x));
auto name = "extract";
add_axiom(name, { eq0, gelo });
if (hi + 1 == sz_e)
if (hi + 1 == sz_x)
add_axiom(name, { ~eq0, ~gelo });
}

View file

@ -148,11 +148,11 @@ namespace polysat {
}
else if (d.is_fixed_claim()) {
auto const& o = d.fixed();
explain_fixed(o.v, o, consume);
explain_fixed(o.parent, o, consume);
}
else if (d.is_offset_claim()) {
auto const& offs = d.offset();
explain_slice(offs.v, offs.w, offs.offset, consume);
explain_slice(offs.child, offs.parent, offs.offset, consume);
}
else {
auto const [v1, v2] = d.eq();