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https://github.com/Z3Prover/z3
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add some lemma names
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d075759659
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1 changed files with 10 additions and 4 deletions
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@ -540,9 +540,12 @@ namespace polysat {
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unsigned parity_pv = pv.val().trailing_zeros();
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unsigned parity_rv = rv.val().trailing_zeros();
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LOG("p: " << p() << " := " << pv << " parity " << parity_pv);
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LOG("r: " << r() << " := " << rv << " parity " << parity_rv);
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// p != 0 ==> odd(r)
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if (parity_rv != 0)
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return s.mk_clause(~invc, ~s.eq(p()), s.odd(r()), true);
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return s.mk_clause("r = inv p & p != 0 ==> odd(r)", {~invc, ~s.eq(p()), s.odd(r())}, true);
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pdd prod = p() * r();
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rational prodv = (pv * rv).val();
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@ -558,19 +561,22 @@ namespace polysat {
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LOG("Its in [" << lower << "; " << upper << ")");
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// parity(p) >= k ==> p * r >= 2^k
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if (prodv < rational::power_of_two(middle))
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return s.mk_clause(~invc, ~s.parity_at_least(p(), middle), s.uge(prod, rational::power_of_two(middle)), false);
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return s.mk_clause("r = inv p & parity(p) >= k ==> p*r >= 2^k",
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{~invc, ~s.parity_at_least(p(), middle), s.uge(prod, rational::power_of_two(middle))}, false);
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}
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else { // parity less than middle
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upper = middle;
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LOG("Its in [" << lower << "; " << upper << ")");
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// parity(p) < k ==> p * r <= 2^k - 1
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if (prodv > rational::power_of_two(middle))
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return s.mk_clause(~invc, s.parity_at_least(p(), middle), s.ule(prod, rational::power_of_two(middle) - 1), false);
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return s.mk_clause("r = inv p & parity(p) < k ==> p*r <= 2^k - 1",
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{~invc, s.parity_at_least(p(), middle), s.ule(prod, rational::power_of_two(middle) - 1)}, false);
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}
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// parity(p) < k ==> r <= 2^(N - k) - 1 (because r is the smallest pseudo-inverse)
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rational const max_rv = rational::power_of_two(m.power_of_2() - middle) - 1;
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if (rv.val() > max_rv)
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return s.mk_clause(~invc, s.parity_at_least(p(), middle), s.ule(r(), max_rv), false);
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return s.mk_clause("r = inv p & parity(p) < k ==> r <= 2^(N-k) - 1",
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{~invc, s.parity_at_least(p(), middle), s.ule(r(), max_rv)}, false);
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}
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// Why did it evaluate to false in this case?
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UNREACHABLE();
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