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https://github.com/Z3Prover/z3
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Fix handling of complex literals in hypothesis_reducer
In Z3, an arbitrary, even propositional, formula can be a literal. This requires careful handling of restructuring of unit resolution.
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1 changed files with 35 additions and 30 deletions
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@ -432,51 +432,56 @@ proof* hypothesis_reducer::mk_unit_resolution_core(ptr_buffer<proof>& args) {
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}
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proof* arg0 = args[0];
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app *fact0 = to_app(m.get_fact(arg0));
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ptr_buffer<proof> pf_args;
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ptr_buffer<expr> pf_fact;
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pf_args.push_back(arg0);
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// BUG: I guess this shouldn't work with quantifiers (since they
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// are not apps)
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// AG: who is "I"? What is the bug?
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app *fact = to_app(m.get_fact(arg0));
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ptr_buffer<expr> cls;
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if (m.is_or(fact)) {
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for (unsigned i = 0, sz = fact->get_num_args(); i < sz; ++i)
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cls.push_back(fact->get_arg(i));
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}
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else
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cls.push_back(fact);
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// construct the new resolvent
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ptr_buffer<expr> new_fact;
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bool found;
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// -- find all literals that are resolved on
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// XXX quadratic implementation
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for (unsigned i = 0, sz = cls.size(); i < sz; ++i) {
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found = false;
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for (unsigned j = 1; j < args.size(); ++j) {
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if (m.is_complement(cls.get(i), m.get_fact(args[j]))) {
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found = true;
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pf_args.push_back(args[j]);
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break;
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}
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// check if fact0 can be resolved as a unit
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// this is required for handling literals with OR
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for (unsigned j = 1; j < args.size(); ++j) {
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if (m.is_complement(fact0, m.get_fact(args[j]))) {
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pf_args.push_back(args[j]);
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break;
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}
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if (!found) new_fact.push_back(cls.get(i));
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}
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SASSERT(new_fact.size() + pf_args.size() - 1 == cls.size());
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// if failed to find a resolvent, and the fact is a disjunction,
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// attempt to resolve each disjunct
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if (pf_args.size() == 1 && m.is_or(fact0)) {
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ptr_buffer<expr> cls;
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for (unsigned i = 0, sz = fact0->get_num_args(); i < sz; ++i)
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cls.push_back(fact0->get_arg(i));
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// -- find all literals that are resolved on
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// XXX quadratic implementation
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for (unsigned i = 0, sz = cls.size(); i < sz; ++i) {
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bool found = false;
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for (unsigned j = 1; j < args.size(); ++j) {
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if (m.is_complement(cls.get(i), m.get_fact(args[j]))) {
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found = true;
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pf_args.push_back(args[j]);
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break;
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}
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}
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if (!found) pf_fact.push_back(cls.get(i));
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}
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SASSERT(pf_fact.size() + pf_args.size() - 1 == cls.size());
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}
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// unit resolution got reduced to noop
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if (pf_args.size() == 1) {
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// XXX just in case
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// XXX pin just in case
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m_pinned.push_back(arg0);
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return arg0;
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}
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// make unit resolution proof step
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expr_ref tmp(m);
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tmp = mk_or(m, new_fact.size(), new_fact.c_ptr());
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tmp = mk_or(m, pf_fact.size(), pf_fact.c_ptr());
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proof* res = m.mk_unit_resolution(pf_args.size(), pf_args.c_ptr(), tmp);
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m_pinned.push_back(res);
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return res;
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