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use structured proof hints

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Signed-off-by: Nikolaj Bjorner <nbjorner@microsoft.com>
This commit is contained in:
Nikolaj Bjorner 2022-05-28 09:37:41 -07:00
parent 7da9f12521
commit dd46224a1d
10 changed files with 233 additions and 63 deletions
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31
src/sat/smt/arith_axioms.cpp
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@ -233,46 +233,55 @@ namespace arith {
SASSERT(b1.get_var() == b2.get_var());
if (k1 == k2 && kind1 == kind2) return;
SASSERT(k1 != k2 || kind1 != kind2);
char const* bound_params = "farkas 1 1";
auto bin_clause = [&](sat::literal l1, sat::literal l2) {
sat::proof_hint* bound_params = nullptr;
if (ctx.use_drat()) {
bound_params = &m_farkas2;
m_farkas2.m_literals[0] = std::make_pair(rational(1), l1);
m_farkas2.m_literals[1] = std::make_pair(rational(1), l2);
}
add_clause(l1, l2, bound_params);
};
if (kind1 == lp_api::lower_t) {
if (kind2 == lp_api::lower_t) {
if (k2 <= k1)
add_clause(~l1, l2, bound_params);
bin_clause(~l1, l2);
else
add_clause(l1, ~l2, bound_params);
bin_clause(l1, ~l2);
}
else if (k1 <= k2)
// k1 <= k2, k1 <= x or x <= k2
add_clause(l1, l2);
bin_clause(l1, l2);
else {
// k1 > hi_inf, k1 <= x => ~(x <= hi_inf)
add_clause(~l1, ~l2, bound_params);
bin_clause(~l1, ~l2);
if (v_is_int && k1 == k2 + rational(1))
// k1 <= x or x <= k1-1
add_clause(l1, l2, bound_params);
bin_clause(l1, l2);
}
}
else if (kind2 == lp_api::lower_t) {
if (k1 >= k2)
// k1 >= lo_inf, k1 >= x or lo_inf <= x
add_clause(l1, l2, bound_params);
bin_clause(l1, l2);
else {
// k1 < k2, k2 <= x => ~(x <= k1)
add_clause(~l1, ~l2, bound_params);
bin_clause(~l1, ~l2);
if (v_is_int && k1 == k2 - rational(1))
// x <= k1 or k1+l <= x
add_clause(l1, l2, bound_params);
bin_clause(l1, l2);
}
}
else {
// kind1 == A_UPPER, kind2 == A_UPPER
if (k1 >= k2)
// k1 >= k2, x <= k2 => x <= k1
add_clause(l1, ~l2, bound_params);
bin_clause(l1, ~l2);
else
// k1 <= hi_sup , x <= k1 => x <= hi_sup
add_clause(~l1, l2, bound_params);
bin_clause(~l1, l2);
}
}