overhaul of proof format for new solver

This commit overhauls the proof format (in development) for the new core.

NOTE: this functionality is work in progress with a long way to go.
It is shielded by the sat.euf option, which is off by default and in pre-release state.
It is too early to fuzz or use it. It is pushed into master to shed light on road-map for certifying inferences of sat.euf.

It retires the ad-hoc extension of DRUP used by the SAT solver.
Instead it relies on SMT with ad-hoc extensions for proof terms.
It adds the following commands (consumed by proof_cmds.cpp):

- assume  - for input clauses
- learn   - when a clause is learned (or redundant clause is added)
- del     - when a clause is deleted.

The commands take a list of expressions of type Bool and the
last argument can optionally be of type Proof.
When the last argument is of type Proof it is provided as a hint
to justify the learned clause.

Proof hints can be checked using a self-contained proof
checker. The sat/smt/euf_proof_checker.h class provides
a plugin dispatcher for checkers.
It is instantiated with a checker for arithmetic lemmas,
so far for Farkas proofs.

Use example:
```
(set-option :sat.euf true)
(set-option :tactic.default_tactic smt)
(set-option :sat.smt.proof f.proof)
(declare-const x Int)
(declare-const y Int)
(declare-const z Int)
(declare-const u Int)
(assert (< x y))
(assert (< y z))
(assert (< z x))
(check-sat)
```

Run z3 on a file with above content.
Then run z3 on f.proof

```
(verified-smt)
(verified-smt)
(verified-smt)
(verified-farkas)
(verified-smt)
```

src/ast/ast.cpp

@@ -889,8 +889,10 @@ void basic_decl_plugin::set_manager(ast_manager * m, family_id id) {
 }
 
 void basic_decl_plugin::get_sort_names(svector<builtin_name> & sort_names, symbol const & logic) {
-    if (logic == symbol::null)
+    if (logic == symbol::null) {
         sort_names.push_back(builtin_name("bool", BOOL_SORT));
+        sort_names.push_back(builtin_name("Proof", PROOF_SORT)); // reserved name?
+    }
     sort_names.push_back(builtin_name("Bool", BOOL_SORT));
 }
 

src/ast/ast_pp_util.cpp

@@ -175,14 +175,14 @@ std::ostream& ast_pp_util::define_expr(std::ostream& out, expr* n) {
             visit.pop_back();
             if (to_app(n)->get_num_args() > 0) {
                 out << "(define-const $" << n->get_id() << " " << mk_pp(n->get_sort(), m) << " (";            
-                out << to_app(n)->get_name(); // fixme
+                out << mk_ismt2_func(to_app(n)->get_decl(), m);
                 for (auto* e : *to_app(n)) 
                     display_expr_def(out << " ", e);
-                out << ")\n";
+                out << "))\n";
             }
             continue;
         }
-        out << "(define-const $" << n->get_id() << " " << mk_pp(n->get_sort(), m) << " " << mk_pp(n, m) << "\n";                
+        out << "(define-const $" << n->get_id() << " " << mk_pp(n->get_sort(), m) << " " << mk_pp(n, m) << ")\n";                
         m_defined.push_back(n);
         m_is_defined.mark(n, true);
         visit.pop_back();        

src/ast/scoped_proof.h

@@ -29,8 +29,8 @@ public:
         m.toggle_proof_mode(mode);
     }
     ~scoped_proof_mode() {
-            m.toggle_proof_mode(m_mode);            
+        m.toggle_proof_mode(m_mode);            
-        }
+    }
     
 };
 

src/cmd_context/CMakeLists.txt

@@ -11,6 +11,7 @@ z3_add_component(cmd_context
     simplify_cmd.cpp
     tactic_cmds.cpp
     tactic_manager.cpp
+    proof_cmds.cpp
   COMPONENT_DEPENDENCIES
     rewriter
     solver

src/cmd_context/cmd_context.cpp

@@ -561,6 +561,7 @@ cmd_context::~cmd_context() {
     finalize_cmds();
     finalize_tactic_cmds();
     finalize_probes();
+    m_proof_cmds = nullptr;
     reset(true);
     m_mcs.reset();
     m_solver = nullptr;

src/cmd_context/cmd_context.h

@@ -39,6 +39,7 @@ Notes:
 #include "solver/progress_callback.h"
 #include "cmd_context/pdecl.h"
 #include "cmd_context/tactic_manager.h"
+#include "cmd_context/proof_cmds.h"
 #include "params/context_params.h"
 
 
@@ -172,6 +173,7 @@ public:
     bool owns_manager() const { return m_manager != nullptr; }
 };
 
+
 class cmd_context : public progress_callback, public tactic_manager, public ast_printer_context {
 public:
     enum status {
@@ -225,6 +227,7 @@ protected:
     bool                         m_ignore_check = false;      // used by the API to disable check-sat() commands when parsing SMT 2.0 files.
     bool                         m_exit_on_error = false;
     bool                         m_allow_duplicate_declarations = false;
+    scoped_ptr<proof_cmds>       m_proof_cmds;
 
     static std::ostringstream    g_error_stream;
 
@@ -397,6 +400,8 @@ public:
     pdecl_manager & pm() const { if (!m_pmanager) const_cast<cmd_context*>(this)->init_manager(); return *m_pmanager; }
     sexpr_manager & sm() const { if (!m_sexpr_manager) const_cast<cmd_context*>(this)->m_sexpr_manager = alloc(sexpr_manager); return *m_sexpr_manager; }
 
+    proof_cmds& get_proof_cmds() { if (!m_proof_cmds) m_proof_cmds = proof_cmds::mk(m()); return *m_proof_cmds; }
+
     void set_solver_factory(solver_factory * s);
     void set_check_sat_result(check_sat_result * r) { m_check_sat_result = r; }
     check_sat_result * get_check_sat_result() const { return m_check_sat_result.get(); }

src/cmd_context/proof_cmds.cpp

@@ -0,0 +1,207 @@
+/*++
+Copyright (c) 2022 Microsoft Corporation
+
+Module Name:
+
+    proof_cmds.cpp
+
+Abstract:
+
+    Commands for reading and checking proofs.
+
+Author:
+
+    Nikolaj Bjorner (nbjorner) 2022-8-26
+
+Notes:
+
+- add theory hint bypass using proof checker plugins of SMT
+  - arith_proof_checker.h is currently
+- could use m_drat for drup premises.
+
+--*/
+
+#include "util/small_object_allocator.h"
+#include "ast/ast_util.h"
+#include "cmd_context/cmd_context.h"
+#include "smt/smt_solver.h"
+#include "sat/sat_solver.h"
+#include "sat/sat_drat.h"
+#include "sat/smt/euf_proof_checker.h"
+#include <iostream>
+
+class smt_checker {
+    ast_manager& m;
+    params_ref   m_params;
+    euf::proof_checker m_checker;
+
+    scoped_ptr<solver> m_solver;
+
+#if 0
+    sat::solver  sat_solver;
+    sat::drat    m_drat;
+    sat::literal_vector m_units;
+    sat::literal_vector m_drup_units;
+
+    void add_units() {
+        auto const& units = m_drat.units();
+        for (unsigned i = m_units.size(); i < units.size(); ++i)
+            m_units.push_back(units[i].first);
+    }
+#endif
+
+public:
+    smt_checker(ast_manager& m):
+        m(m),
+        m_checker(m)
+        // sat_solver(m_params, m.limit()), 
+        // m_drat(sat_solver) 
+    {
+        m_solver = mk_smt_solver(m, m_params, symbol());
+    }
+
+    void check(expr_ref_vector const& clause, expr* proof_hint) {
+
+        if (m_checker.check(clause, proof_hint)) {
+            if (is_app(proof_hint))
+                std::cout << "(verified-" << to_app(proof_hint)->get_name() << ")\n";
+            else
+                std::cout << "(verified-checker)\n";
+            return;
+        }
+
+        m_solver->push();
+        for (expr* lit : clause)
+            m_solver->assert_expr(m.mk_not(lit));
+        lbool is_sat = m_solver->check_sat();
+        if (is_sat != l_false) {
+            std::cout << "did not verify: " << is_sat << " " << clause << "\n\n";
+            m_solver->display(std::cout);
+            if (is_sat == l_true) {
+                model_ref mdl;
+                m_solver->get_model(mdl);
+                std::cout << *mdl << "\n";
+            }                
+            exit(0);
+        }
+        m_solver->pop(1);
+        std::cout << "(verified-smt)\n";
+        // assume(clause);
+    }
+
+    void assume(expr_ref_vector const& clause) {
+        m_solver->assert_expr(mk_or(clause));
+    }
+};
+
+class proof_cmds::imp {
+    ast_manager& m;
+    expr_ref_vector m_lits;
+    expr_ref m_proof_hint;
+    smt_checker m_checker;
+public:
+    imp(ast_manager& m): m(m), m_lits(m), m_proof_hint(m), m_checker(m) {}
+
+    void add_literal(expr* e) {
+        if (m.is_proof(e))
+            m_proof_hint = e;
+        else
+            m_lits.push_back(e);
+    }
+
+    void end_assumption() {
+        m_checker.assume(m_lits);
+        m_lits.reset();
+        m_proof_hint.reset();
+    }
+
+    void end_learned() {
+        m_checker.check(m_lits, m_proof_hint);
+        m_lits.reset();
+        m_proof_hint.reset();
+    }
+
+    void end_deleted() {
+        m_lits.reset();
+        m_proof_hint.reset();
+    }
+};
+
+proof_cmds* proof_cmds::mk(ast_manager& m) {
+    return alloc(proof_cmds, m);
+}
+
+proof_cmds::proof_cmds(ast_manager& m) {
+    m_imp = alloc(imp, m);
+}
+
+proof_cmds::~proof_cmds() {
+    dealloc(m_imp);
+}
+
+void proof_cmds::add_literal(expr* e) {
+    m_imp->add_literal(e);
+}
+
+void proof_cmds::end_assumption() {
+    m_imp->end_assumption();
+}
+
+void proof_cmds::end_learned() {
+    m_imp->end_learned();
+}
+
+void proof_cmds::end_deleted() {
+    m_imp->end_deleted();
+}
+
+// assumption
+class assume_cmd : public cmd {
+public:
+    assume_cmd():cmd("assume") {}
+    char const* get_usage() const override { return "<expr>+"; }
+    char const * get_descr(cmd_context& ctx) const override { return "proof command for adding assumption (input assertion)"; }
+    unsigned get_arity() const override { return VAR_ARITY; }
+    void prepare(cmd_context & ctx) override {}
+    void finalize(cmd_context & ctx) override {}
+    void failure_cleanup(cmd_context & ctx) override {}
+    cmd_arg_kind next_arg_kind(cmd_context & ctx) const override { return CPK_EXPR; }    
+    void set_next_arg(cmd_context & ctx, expr * arg) override { ctx.get_proof_cmds().add_literal(arg); }
+    void execute(cmd_context& ctx) override { ctx.get_proof_cmds().end_assumption(); }
+};
+
+// deleted clause
+class del_cmd : public cmd {
+public:
+    del_cmd():cmd("del") {}
+    char const* get_usage() const override { return "<expr>+"; }
+    char const * get_descr(cmd_context& ctx) const override { return "proof command for clause deletion"; }
+    unsigned get_arity() const override { return VAR_ARITY; }
+    void prepare(cmd_context & ctx) override {}
+    void finalize(cmd_context & ctx) override {}
+    void failure_cleanup(cmd_context & ctx) override {}
+    cmd_arg_kind next_arg_kind(cmd_context & ctx) const override { return CPK_EXPR; }    
+    void set_next_arg(cmd_context & ctx, expr * arg) override { ctx.get_proof_cmds().add_literal(arg); }
+    void execute(cmd_context& ctx) override { ctx.get_proof_cmds().end_deleted(); }
+};
+
+// learned/redundant clause
+class learn_cmd : public cmd {
+public:
+    learn_cmd():cmd("learn") {}
+    char const* get_usage() const override { return "<expr>+"; }
+    char const * get_descr(cmd_context& ctx) const override { return "proof command for learned (redundant) clauses"; }
+    unsigned get_arity() const override { return VAR_ARITY; }
+    void prepare(cmd_context & ctx) override {}
+    void finalize(cmd_context & ctx) override {}
+    void failure_cleanup(cmd_context & ctx) override {}
+    cmd_arg_kind next_arg_kind(cmd_context & ctx) const override { return CPK_EXPR; }    
+    void set_next_arg(cmd_context & ctx, expr * arg) override { ctx.get_proof_cmds().add_literal(arg); }
+    void execute(cmd_context& ctx) override { ctx.get_proof_cmds().end_learned(); }
+};
+
+void install_proof_cmds(cmd_context & ctx) {
+    ctx.insert(alloc(del_cmd));
+    ctx.insert(alloc(learn_cmd));
+    ctx.insert(alloc(assume_cmd));
+}

src/cmd_context/proof_cmds.h

@@ -0,0 +1,49 @@
+/*++
+Copyright (c) 2022 Microsoft Corporation
+
+Module Name:
+
+    proof_cmds.h
+
+Abstract:
+    Commands for reading proofs.
+
+Author:
+
+    Nikolaj Bjorner (nbjorner) 2022-8-26
+
+Notes:
+
+--*/
+#pragma once
+
+/**
+   proof_cmds is a structure that tracks an evidence trail.
+
+   The main interface is to:
+     add literals one by one,
+     add proof hints
+     until receiving end-command: assumption, learned, deleted.
+   Evidence can be checked:
+     - By DRUP
+     - Theory lemmas
+
+*/
+
+
+class proof_cmds {
+    class imp;
+    imp* m_imp;
+public:
+    static proof_cmds* mk(ast_manager& m);
+    proof_cmds(ast_manager& m);
+    ~proof_cmds();
+    void add_literal(expr* e);
+    void end_assumption();
+    void end_learned();
+    void end_deleted();
+};
+
+class cmd_context;
+void install_proof_cmds(cmd_context & ctx);
+

src/sat/dimacs.cpp

@@ -112,27 +112,6 @@ static void read_clause(Buffer & in, std::ostream& err, sat::literal_vector & li
     }
 }
 
-template<typename Buffer>
-static void read_pragma(Buffer & in, std::ostream& err, std::string& p, sat::proof_hint& h) {
-    skip_whitespace(in);
-    if (*in != 'p')
-        return;
-    ++in;
-    while (*in == ' ')
-        ++in;
-    while (true) {
-        if (*in == EOF)
-            break;
-        if (*in == '\n') {
-            ++in;
-            break;
-        }
-        p.push_back(*in);
-        ++in;
-    }
-    if (!p.empty()) 
-        h.from_string(p);
-}
 
 
 template<typename Buffer>
@@ -177,25 +156,7 @@ namespace dimacs {
     std::ostream& operator<<(std::ostream& out, drat_pp const& p) {
         auto const& r = p.r;
         sat::status_pp pp(r.m_status, p.th);
-        switch (r.m_tag) {
+        return out << pp << " " << r.m_lits << " 0\n";            
-        case drat_record::tag_t::is_clause:
-            if (!r.m_pragma.empty()) 
-                return out << pp << " " << r.m_lits << " 0 p " << r.m_pragma << "\n";
-            return out << pp << " " << r.m_lits << " 0\n";            
-        case drat_record::tag_t::is_node:
-            return out << "e " << r.m_node_id << " " << r.m_name << " " << r.m_args << "0\n";
-        case drat_record::tag_t::is_sort:
-            return out << "s " << r.m_node_id << " " << r.m_name << " " << r.m_args << "0\n";
-        case drat_record::tag_t::is_decl:
-            return out << "f " << r.m_node_id << " " << r.m_name << " " << r.m_args << "0\n";
-        case drat_record::tag_t::is_bool_def:
-            return out << "b " << r.m_node_id << " " << r.m_args << "0\n";
-        case drat_record::tag_t::is_var:
-            return out << "v " << r.m_node_id << " " << r.m_name << " " << r.m_args << "0\n";
-        case drat_record::tag_t::is_quantifier:
-            return out << "q " << r.m_node_id << " " << r.m_name << " " << r.m_args << "0\n";
-        }
-        return out;
     }
 
     char const* drat_parser::parse_identifier() {
@@ -266,47 +227,10 @@ namespace dimacs {
     }
 
     bool drat_parser::next() {
-        int n, b, e, theory_id;
+        int theory_id;
-        auto parse_ast = [&](drat_record::tag_t tag) {
-            ++in;
-            skip_whitespace(in);
-            n = parse_int(in, err);                    
-            skip_whitespace(in);
-            m_record.m_name = parse_sexpr();
-            m_record.m_tag = tag;
-            m_record.m_node_id = n;
-            m_record.m_args.reset();
-            while (true) {
-                n = parse_int(in, err);
-                if (n == 0)
-                    break;
-                if (n < 0)
-                    throw lex_error();
-                m_record.m_args.push_back(n);
-            }
-        };
-        auto parse_var = [&]() {
-            ++in;
-            skip_whitespace(in);
-            n = parse_int(in, err);                    
-            skip_whitespace(in);
-            m_record.m_name = parse_sexpr();
-            m_record.m_tag = drat_record::tag_t::is_var;
-            m_record.m_node_id = n;
-            m_record.m_args.reset();
-            n = parse_int(in, err);
-            if (n < 0)
-                throw lex_error();
-            m_record.m_args.push_back(n);
-            n = parse_int(in, err);
-            if (n != 0)
-                throw lex_error();
-        };
         try {
         loop:
             skip_whitespace(in);
-            m_record.m_pragma.clear();
-            m_record.m_hint.reset();
             switch (*in) {
             case EOF:
                 return false;                
@@ -321,7 +245,6 @@ namespace dimacs {
                 ++in;
                 skip_whitespace(in);
                 read_clause(in, err, m_record.m_lits);
-                m_record.m_tag = drat_record::tag_t::is_clause;
                 m_record.m_status = sat::status::input();
                 break;
             case 'a':
@@ -331,49 +254,13 @@ namespace dimacs {
                 theory_id = read_theory_id();
                 skip_whitespace(in);
                 read_clause(in, err, m_record.m_lits);
-                read_pragma(in, err, m_record.m_pragma, m_record.m_hint);
-                m_record.m_tag = drat_record::tag_t::is_clause;
                 m_record.m_status = sat::status::th(false, theory_id);
                 break;
-            case 'e':
-                // parse expression definition
-                parse_ast(drat_record::tag_t::is_node);
-                break;
-            case 'v':
-                parse_var();
-                break;
-            case 'q':
-                parse_ast(drat_record::tag_t::is_quantifier);
-                break;
-            case 'f':
-                // parse function declaration
-                parse_ast(drat_record::tag_t::is_decl);
-                break;
-            case 's':
-                // parse sort declaration (not used)
-                parse_ast(drat_record::tag_t::is_sort);
-                break;
-            case 'b':
-                // parse bridge between Boolean variable identifier b 
-                // and expression identifier e, which is of type Bool
-                ++in;
-                skip_whitespace(in);
-                b = parse_int(in, err);
-                n = parse_int(in, err);
-                e = parse_int(in, err);
-                if (e != 0)
-                    throw lex_error();
-                m_record.m_tag = drat_record::tag_t::is_bool_def;
-                m_record.m_node_id = b;
-                m_record.m_args.reset();
-                m_record.m_args.push_back(n);
-                break;
             case 'd':
                 // parse clause deletion
                 ++in;
                 skip_whitespace(in);
                 read_clause(in, err, m_record.m_lits);
-                m_record.m_tag = drat_record::tag_t::is_clause;
                 m_record.m_status = sat::status::deleted();
                 break;
             case 'r':
@@ -383,13 +270,11 @@ namespace dimacs {
                 skip_whitespace(in);
                 theory_id = read_theory_id();
                 read_clause(in, err, m_record.m_lits);
-                m_record.m_tag = drat_record::tag_t::is_clause;
                 m_record.m_status = sat::status::th(true, theory_id);
                 break;
             default:
                 // parse clause redundant modulo DRAT (or mostly just DRUP)
                 read_clause(in, err, m_record.m_lits);
-                m_record.m_tag = drat_record::tag_t::is_clause;
                 m_record.m_status = sat::status::redundant();
                 break;                
             }    

src/sat/dimacs.h

@@ -53,18 +53,11 @@ namespace dimacs {
     };
 
     struct drat_record {
-        enum class tag_t { is_clause, is_node, is_decl, is_sort, is_bool_def, is_var, is_quantifier };
-        tag_t            m_tag{ tag_t::is_clause };
         // a clause populates m_lits and m_status
         // a node populates m_node_id, m_name, m_args
         // a bool def populates m_node_id and one element in m_args
         sat::literal_vector  m_lits;
         sat::status     m_status = sat::status::redundant();
-        unsigned        m_node_id = 0;
-        std::string     m_name;
-        unsigned_vector m_args;
-        std::string     m_pragma;
-        sat::proof_hint m_hint;
     };
 
     struct drat_pp {

src/sat/sat_config.cpp

@@ -197,10 +197,10 @@ namespace sat {
         m_drat_check_unsat  = p.drat_check_unsat();
         m_drat_check_sat  = p.drat_check_sat();
         m_drat_file       = p.drat_file();
-        m_drat            = !p.drat_disable() && (sp.lemmas2console() || m_drat_check_unsat || m_drat_file.is_non_empty_string() || m_drat_check_sat) && p.threads() == 1;
+        m_smt_proof       = p.smt_proof();
+        m_drat            = !p.drat_disable() && (sp.lemmas2console() || m_drat_check_unsat || m_drat_file.is_non_empty_string() || m_smt_proof.is_non_empty_string() || m_drat_check_sat) && p.threads() == 1;
         m_drat_binary     = p.drat_binary();
         m_drat_activity   = p.drat_activity();
-        m_drup_trim       = p.drup_trim();
         m_dyn_sub_res     = p.dyn_sub_res();
 
         // Parameters used in Liang, Ganesh, Poupart, Czarnecki AAAI 2016.
@@ -254,10 +254,6 @@ namespace sat {
         sat_simplifier_params ssp(_p);
         m_elim_vars = ssp.elim_vars();
 
-#if 0
-        if (m_drat && (m_xor_solver || m_card_solver)) 
-            throw sat_param_exception("DRAT checking only works for pure CNF");
-#endif
     }
 
     void config::collect_param_descrs(param_descrs & r) {

src/sat/sat_config.h

@@ -177,9 +177,9 @@ namespace sat {
         bool               m_drat;
         bool               m_drat_binary;
         symbol             m_drat_file;
+        symbol             m_smt_proof;
         bool               m_drat_check_unsat;
         bool               m_drat_check_sat;
-        bool               m_drup_trim;
         bool               m_drat_activity;
         
         bool               m_card_solver;

src/sat/sat_drat.cpp

@@ -52,8 +52,7 @@ namespace sat {
     void drat::updt_config() {            
         m_check_unsat = s.get_config().m_drat_check_unsat;
         m_check_sat   = s.get_config().m_drat_check_sat;
-        m_trim        = s.get_config().m_drup_trim;       
+        m_check       = m_check_unsat || m_check_sat;
-        m_check       = m_check_unsat || m_check_sat || m_trim;
         m_activity    = s.get_config().m_drat_activity;
     }
 
@@ -130,14 +129,6 @@ namespace sat {
             }
         }
         buffer[len++] = '0';
-        if (st.get_hint()) {
-            buffer[len++] = ' ';
-            buffer[len++] = 'p';
-            buffer[len++] = ' ';
-            auto* ps = st.get_hint();
-            for (auto ch : ps->to_string())
-                buffer[len++] = ch;
-        }
         buffer[len++] = '\n';
         m_out->write(buffer, len);
     }
@@ -210,8 +201,6 @@ namespace sat {
         if (st.is_redundant() && st.is_sat()) 
             verify(1, &l);
 
-        if (m_trim)
-            m_proof.push_back({mk_clause(1, &l, st.is_redundant()), st});
 
         if (st.is_deleted()) 
             return;
@@ -230,8 +219,7 @@ namespace sat {
 
         IF_VERBOSE(20, trace(verbose_stream(), 2, lits, st););
         if (st.is_deleted()) {
-            if (m_trim)
+            ;
-                m_proof.push_back({mk_clause(2, lits, true), st});
         }
         else {
             if (st.is_redundant() && st.is_sat()) 
@@ -658,7 +646,7 @@ namespace sat {
             verify(0, nullptr);
             SASSERT(m_inconsistent);
         }
-        if (m_print_clause) m_print_clause->on_clause(0, nullptr, status::redundant());
+        if (m_clause_eh) m_clause_eh->on_clause(0, nullptr, status::redundant());
     }
     void drat::add(literal l, bool learned) {
         ++m_stats.m_num_add;
@@ -666,7 +654,8 @@ namespace sat {
         if (m_out) dump(1, &l, st);
         if (m_bout) bdump(1, &l, st);
         if (m_check) append(l, st);
-        if (m_print_clause) m_print_clause->on_clause(1, &l, st);
+        TRACE("sat", tout << "add " << m_clause_eh << "\n");
+        if (m_clause_eh) m_clause_eh->on_clause(1, &l, st);
     }
     void drat::add(literal l1, literal l2, status st) {
         if (st.is_deleted())
@@ -677,7 +666,7 @@ namespace sat {
         if (m_out) dump(2, ls, st);
         if (m_bout) bdump(2, ls, st);
         if (m_check) append(l1, l2, st);
-        if (m_print_clause) m_print_clause->on_clause(2, ls, st);
+        if (m_clause_eh) m_clause_eh->on_clause(2, ls, st);
     }
     void drat::add(clause& c, status st) {
         if (st.is_deleted())
@@ -687,7 +676,7 @@ namespace sat {
         if (m_out) dump(c.size(), c.begin(), st);
         if (m_bout) bdump(c.size(), c.begin(), st);
         if (m_check) append(mk_clause(c), st);
-        if (m_print_clause) m_print_clause->on_clause(c.size(), c.begin(), st);
+        if (m_clause_eh) m_clause_eh->on_clause(c.size(), c.begin(), st);
     }
     
     void drat::add(literal_vector const& lits, status st) {
@@ -709,8 +698,8 @@ namespace sat {
         if (m_out)
             dump(sz, lits, st);
 
-        if (m_print_clause)
+        if (m_clause_eh)
-            m_print_clause->on_clause(sz, lits, st);
+            m_clause_eh->on_clause(sz, lits, st);
     }
 
     void drat::add(literal_vector const& c) {
@@ -730,8 +719,8 @@ namespace sat {
             }
             }
         }
-        if (m_print_clause)
+        if (m_clause_eh)
-            m_print_clause->on_clause(c.size(), c.data(), status::redundant());
+            m_clause_eh->on_clause(c.size(), c.data(), status::redundant());
     }
 
     void drat::del(literal l) {
@@ -739,6 +728,7 @@ namespace sat {
         if (m_out) dump(1, &l, status::deleted());
         if (m_bout) bdump(1, &l, status::deleted());
         if (m_check) append(l, status::deleted());
+        if (m_clause_eh) m_clause_eh->on_clause(1, &l, status::deleted());
     }
 
     void drat::del(literal l1, literal l2) {
@@ -747,6 +737,7 @@ namespace sat {
         if (m_out) dump(2, ls, status::deleted());
         if (m_bout) bdump(2, ls, status::deleted());
         if (m_check) append(l1, l2, status::deleted());
+        if (m_clause_eh) m_clause_eh->on_clause(2, ls, status::deleted());
     }
 
     void drat::del(clause& c) {
@@ -764,7 +755,8 @@ namespace sat {
         ++m_stats.m_num_del;
         if (m_out) dump(c.size(), c.begin(), status::deleted());
         if (m_bout) bdump(c.size(), c.begin(), status::deleted());
-        if (m_check) append(mk_clause(c), status::deleted());        
+        if (m_check) append(mk_clause(c), status::deleted());     
+        if (m_clause_eh) m_clause_eh->on_clause(c.size(), c.begin(), status::deleted());   
     }
 
     clause& drat::mk_clause(clause& c) {
@@ -780,23 +772,9 @@ namespace sat {
         if (m_out) dump(c.size(), c.begin(), status::deleted());
         if (m_bout) bdump(c.size(), c.begin(), status::deleted());
         if (m_check) append(mk_clause(c.size(), c.begin(), true), status::deleted());        
+        if (m_clause_eh) m_clause_eh->on_clause(c.size(), c.begin(), status::deleted());
     }
 
-    //
-    // placeholder for trim function.
-    // 1. trail contains justification for the empty clause.
-    // 2. backward pass to prune.
-    // 
-    svector<std::pair<clause&, status>> drat::trim() {
-        SASSERT(m_units.empty());
-        svector<std::pair<clause&, status>> proof;
-        for (auto const& [c, st] : m_proof)
-            if (!st.is_deleted())
-                proof.push_back({c,st});
-        return proof;
-    }
-
-
     void drat::check_model(model const& m) {
     }
 
@@ -828,196 +806,4 @@ namespace sat {
         return out;
     }
 
-
-    std::string proof_hint::to_string() const {
-        std::ostringstream ous;
-        switch (m_ty) {
-        case hint_type::null_h:
-            return std::string();
-        case hint_type::farkas_h:
-            ous << "farkas ";
-            break;
-        case hint_type::bound_h:
-            ous << "bound ";
-            break;
-        case hint_type::implied_eq_h:
-            ous << "implied_eq ";
-            break;
-        default:
-            UNREACHABLE();
-            break;
-        }
-        for (auto const& [q, l] : m_literals)
-            ous << rational(q) << " * " << l << " ";
-        for (auto const& [a, b] : m_eqs)
-            ous << " = " << a << " " << b << " ";
-        for (auto const& [a, b] : m_diseqs)
-            ous << " != " << a << " " << b << " ";
-        return ous.str();
-    }
-
-    void proof_hint::from_string(char const* s) {
-        proof_hint& h = *this;
-        h.reset();
-        h.m_ty = hint_type::null_h;
-        if (!s)
-            return;
-        auto ws = [&]() {
-            while (*s == ' ' || *s == '\n' || *s == '\t')
-                ++s;
-        };
-
-        auto parse_type = [&]() {
-            if (0 == strncmp(s, "farkas", 6)) {
-                h.m_ty = hint_type::farkas_h;
-                s += 6;
-                return true;
-            }
-            if (0 == strncmp(s, "bound", 5)) {
-                h.m_ty = hint_type::bound_h;
-                s += 5;
-                return true;
-            }
-            if (0 == strncmp(s, "implied_eq", 10)) {
-                h.m_ty = hint_type::implied_eq_h;
-                s += 10;
-                return true;
-            }
-            return false;
-        };
-
-        sbuffer<char> buff;
-        auto parse_coeff = [&]() {
-            buff.reset();
-            while (*s && *s != ' ') {
-                buff.push_back(*s);
-                ++s;
-            }
-            buff.push_back(0);
-            return rational(buff.data());
-        };
-
-        auto parse_literal = [&]() {
-            rational r = parse_coeff();
-            if (!r.is_int())
-                return sat::null_literal;
-            if (r < 0)
-                return sat::literal((-r).get_unsigned(), true);
-            return sat::literal(r.get_unsigned(), false);
-        };
-        auto parse_coeff_literal = [&]() {
-            if (*s == '=') {
-                ++s;
-                ws();
-                unsigned a = parse_coeff().get_unsigned();
-                ws();
-                unsigned b = parse_coeff().get_unsigned();
-                h.m_eqs.push_back(std::make_pair(a, b));
-                return true;
-            }
-            if (*s == '!' && *(s + 1) == '=') {
-                s += 2;
-                ws();
-                unsigned a = parse_coeff().get_unsigned();
-                ws();
-                unsigned b = parse_coeff().get_unsigned();
-                h.m_diseqs.push_back(std::make_pair(a, b));
-                return true;
-            }
-            rational coeff = parse_coeff();
-            ws();
-            if (*s == '*') {
-                ++s;
-                ws();
-                sat::literal lit = parse_literal();
-                h.m_literals.push_back(std::make_pair(coeff, lit));
-                return true;
-            }
-            return false;
-        };
-
-        ws();
-        if (!parse_type())
-            return;
-        ws();
-        while (*s) {
-            if (!parse_coeff_literal())
-                return;
-            ws();            
-        }
-    }
-
-#if 0
-    // debugging code
-    bool drat::is_clause(clause& c, literal l1, literal l2, literal l3, drat::status st1, drat::status st2) {
-        //if (st1 != st2) return false;
-        if (c.size() != 3) return false;
-        if (l1 == c[0]) {
-            if (l2 == c[1] && l3 == c[2]) return true;
-            if (l2 == c[2] && l3 == c[1]) return true;
-        }
-        if (l2 == c[0]) {
-            if (l1 == c[1] && l3 == c[2]) return true;
-            if (l1 == c[2] && l3 == c[1]) return true;
-        }
-        if (l3 == c[0]) {
-            if (l1 == c[1] && l2 == c[2]) return true;
-            if (l1 == c[2] && l2 == c[1]) return true;
-        }
-        return false;
-    }
-#endif
-
-
-#if 0
-        if (!m_inconsistent) {
-            literal_vector lits(n, c);
-            IF_VERBOSE(0, verbose_stream() << "not drup " << lits << "\n");
-            for (unsigned v = 0; v < m_assignment.size(); ++v) {
-                lbool val = m_assignment[v];
-                if (val != l_undef) {
-                    IF_VERBOSE(0, verbose_stream() << literal(v, false) << " |-> " << val << "\n");
-                }
-            }
-            for (clause* cp : s.m_clauses) {
-                clause& cl = *cp;
-                bool found = false;
-                for (literal l : cl) {
-                    if (m_assignment[l.var()] != (l.sign() ? l_true : l_false)) {
-                        found = true;
-                        break;
-                    }
-                }
-                if (!found) {
-                    IF_VERBOSE(0, verbose_stream() << "Clause is false under assignment: " << cl << "\n");
-                }
-            }
-            for (clause* cp : s.m_learned) {
-                clause& cl = *cp;
-                bool found = false;
-                for (literal l : cl) {
-                    if (m_assignment[l.var()] != (l.sign() ? l_true : l_false)) {
-                        found = true;
-                        break;
-                    }
-                }
-                if (!found) {
-                    IF_VERBOSE(0, verbose_stream() << "Clause is false under assignment: " << cl << "\n");
-                }
-            }
-            svector<sat::solver::bin_clause> bin;
-            s.collect_bin_clauses(bin, true);
-            for (auto& b : bin) {
-                bool found = false;
-                if (m_assignment[b.first.var()] != (b.first.sign() ? l_true : l_false)) found = true;
-                if (m_assignment[b.second.var()] != (b.second.sign() ? l_true : l_false)) found = true;
-                if (!found) {
-                    IF_VERBOSE(0, verbose_stream() << "Bin clause is false under assignment: " << b.first << " " << b.second << "\n");
-                }
-            }
-            IF_VERBOSE(0, s.display(verbose_stream()));
-            exit(0);
-        }
-#endif
-    
 }

src/sat/sat_drat.h

@@ -60,8 +60,8 @@ namespace sat {
     class justification;
     class clause;
 
-    struct print_clause {
+    struct clause_eh {
-        virtual ~print_clause() {}
+        virtual ~clause_eh() {}
         virtual void on_clause(unsigned, literal const*, status) = 0;        
     };
 
@@ -78,7 +78,7 @@ namespace sat {
             watched_clause(clause* c, literal l1, literal l2):
                 m_clause(c), m_l1(l1), m_l2(l2) {}
         };
-        print_clause* m_print_clause = nullptr;
+        clause_eh* m_clause_eh = nullptr;
         svector<watched_clause>   m_watched_clauses;
         typedef svector<unsigned> watch;
         solver& s;
@@ -95,7 +95,6 @@ namespace sat {
         bool                    m_check_sat = false;
         bool                    m_check = false;
         bool                    m_activity = false;
-        bool                    m_trim = false;
         stats                   m_stats;
 
 
@@ -145,17 +144,10 @@ namespace sat {
         void add(literal_vector const& c); // add learned clause
         void add(unsigned sz, literal const* lits, status st);
 
-        void set_print_clause(print_clause& print_clause) {
+        void set_clause_eh(clause_eh& clause_eh) { m_clause_eh = &clause_eh; }
-            m_print_clause = &print_clause;
-        }
 
-        // support for SMT - connect Boolean variables with AST nodes
-        // associate AST node id with Boolean variable v
-
-        // declare AST node n with 'name' and arguments arg
         std::ostream* out() { return m_out; }
 
-
         bool is_cleaned(clause& c) const;        
         void del(literal l);
         void del(literal l1, literal l2);
@@ -181,8 +173,6 @@ namespace sat {
         svector<std::pair<literal, clause*>> const& units() { return m_units; }
         bool is_drup(unsigned n, literal const* c, literal_vector& units);
         solver& get_solver() { return s; }
-
-        svector<std::pair<clause&, status>> trim();
         
     };
 

src/sat/sat_params.pyg

@@ -47,11 +47,11 @@ def_module_params('sat',
                           ('threads', UINT, 1, 'number of parallel threads to use'),
                           ('dimacs.core', BOOL, False, 'extract core from DIMACS benchmarks'),
                           ('drat.disable', BOOL, False, 'override anything that enables DRAT'),
+                          ('smt.proof', SYMBOL, '', 'add SMT proof to file'),
                           ('drat.file', SYMBOL, '', 'file to dump DRAT proofs'),
                           ('drat.binary', BOOL, False, 'use Binary DRAT output format'),
                           ('drat.check_unsat', BOOL, False, 'build up internal proof and check'),
                           ('drat.check_sat', BOOL, False, 'build up internal trace, check satisfying model'),
-                          ('drup.trim', BOOL, False, 'build and trim drup proof'),
                           ('drat.activity', BOOL, False, 'dump variable activities'),
                           ('cardinality.solver', BOOL, True, 'use cardinality solver'),
                           ('pb.solver', SYMBOL, 'solver', 'method for handling Pseudo-Boolean constraints: circuit (arithmetical circuit), sorting (sorting circuit), totalizer (use totalizer encoding), binary_merge, segmented, solver (use native solver)'),

src/sat/sat_solver.cpp

@@ -402,6 +402,7 @@ namespace sat {
         extension::scoped_drating _sd(*m_ext.get());
         if (j.get_kind() == justification::EXT_JUSTIFICATION) 
             fill_ext_antecedents(lit, j, false);
+        TRACE("sat", tout << "drat-unit\n");
         m_drat.add(lit, m_searching);
     }
 
@@ -948,8 +949,7 @@ namespace sat {
         if (j.level() == 0) {
             if (m_config.m_drat) 
                 drat_log_unit(l, j);
-            if (!m_config.m_drup_trim)
+            j = justification(0); // erase justification for level 0
-                j = justification(0); // erase justification for level 0
         }
         else {
             VERIFY(!at_base_lvl());

src/sat/sat_types.h

@@ -94,22 +94,9 @@ namespace sat {
 
     };
 
-    enum class hint_type {
+    class proof_hint {
-        null_h,
+    public:
-        farkas_h,
+        virtual ~proof_hint() {}
-        bound_h,
-        implied_eq_h,    
-    };
-
-    struct proof_hint {
-        hint_type                              m_ty = hint_type::null_h;
-        vector<std::pair<rational, literal>>   m_literals;
-        vector<std::pair<unsigned, unsigned>>  m_eqs;
-        vector<std::pair<unsigned, unsigned>>  m_diseqs;
-        void reset() { m_ty = hint_type::null_h; m_literals.reset(); m_eqs.reset(); m_diseqs.reset(); }
-        std::string to_string() const;
-        void from_string(char const* s);
-        void from_string(std::string const& s) { from_string(s.c_str()); }
     };
 
     class status {

src/sat/smt/CMakeLists.txt

@@ -21,6 +21,7 @@ z3_add_component(sat_smt
     euf_invariant.cpp
     euf_model.cpp
     euf_proof.cpp
+    euf_proof_checker.cpp
     euf_relevancy.cpp
     euf_solver.cpp
     fpa_solver.cpp

src/sat/smt/arith_axioms.cpp

@@ -264,11 +264,12 @@ namespace arith {
         SASSERT(k1 != k2 || kind1 != kind2);
 
         auto bin_clause = [&](sat::literal l1, sat::literal l2) {
-            sat::proof_hint* bound_params = nullptr;
+            arith_proof_hint* bound_params = nullptr;
             if (ctx.use_drat()) {
-                bound_params = &m_farkas2;
+                m_arith_hint.set_type(ctx, hint_type::farkas_h);
-                m_farkas2.m_literals[0] = std::make_pair(rational(1), ~l1);
+                m_arith_hint.add_lit(rational(1), ~l1);
-                m_farkas2.m_literals[1] = std::make_pair(rational(1), ~l2);
+                m_arith_hint.add_lit(rational(1), ~l2);
+                bound_params = m_arith_hint.mk(ctx);
             }
             add_clause(l1, l2, bound_params);            
         };

src/sat/smt/arith_diagnostics.cpp

@@ -15,6 +15,8 @@ Author:
 
 --*/
 
+#include "ast/ast_util.h"
+#include "ast/scoped_proof.h"
 #include "sat/smt/euf_solver.h"
 #include "sat/smt/arith_solver.h"
 
@@ -81,7 +83,6 @@ namespace arith {
     }
 
     void solver::explain_assumptions() {
-        m_arith_hint.reset();
         unsigned i = 0;
         for (auto const & ev : m_explanation) {
             ++i;
@@ -91,14 +92,12 @@ namespace arith {
             switch (m_constraint_sources[idx]) {
             case inequality_source: {
                 literal lit = m_inequalities[idx];
-                m_arith_hint.m_literals.push_back({ev.coeff(), lit});
+                m_arith_hint.add_lit(ev.coeff(), lit);
                 break;                
             }
             case equality_source: {
                 auto [u, v] = m_equalities[idx];
-                ctx.drat_log_expr(u->get_expr());
+                m_arith_hint.add_eq(u, v);
-                ctx.drat_log_expr(v->get_expr());
-                m_arith_hint.m_eqs.push_back({u->get_expr_id(), v->get_expr_id()});
                 break;
             }
             default:
@@ -115,22 +114,65 @@ namespace arith {
      * such that there is a r >= 1
      * (r1*a1+..+r_k*a_k) = r*a, (r1*b1+..+r_k*b_k) <= r*b
      */
-    sat::proof_hint const* solver::explain(sat::hint_type ty, sat::literal lit) {
+    arith_proof_hint const* solver::explain(hint_type ty, sat::literal lit) {
         if (!ctx.use_drat())
             return nullptr;
-        m_arith_hint.m_ty = ty;
+        m_arith_hint.set_type(ctx, ty);
         explain_assumptions();
         if (lit != sat::null_literal)
-            m_arith_hint.m_literals.push_back({rational(1), ~lit});
+            m_arith_hint.add_lit(rational(1), ~lit);
-        return &m_arith_hint;
+        return m_arith_hint.mk(ctx);
     }
 
-    sat::proof_hint const* solver::explain_implied_eq(euf::enode* a, euf::enode* b) {
+    arith_proof_hint const* solver::explain_implied_eq(euf::enode* a, euf::enode* b) {
         if (!ctx.use_drat())
             return nullptr;
-        m_arith_hint.m_ty = sat::hint_type::implied_eq_h;
+        m_arith_hint.set_type(ctx, hint_type::implied_eq_h);
         explain_assumptions();
-        m_arith_hint.m_diseqs.push_back({a->get_expr_id(), b->get_expr_id()});
+        m_arith_hint.add_diseq(a, b);
-        return &m_arith_hint;
+        return m_arith_hint.mk(ctx);
+    }
+
+    expr* arith_proof_hint::get_hint(euf::solver& s) const {
+        ast_manager& m = s.get_manager();
+        family_id fid = m.get_family_id("arith");
+        arith_util arith(m);
+        solver& a = dynamic_cast<solver&>(*s.fid2solver(fid));
+        char const* name;
+        switch (m_ty) {
+        case hint_type::farkas_h:
+            name = "farkas";
+            break;
+        case hint_type::bound_h:
+            name = "bound";
+            break;
+        case hint_type::implied_eq_h:
+            name = "implied-eq";
+            break;
+        }
+        rational lc(1);
+        for (unsigned i = m_lit_head; i < m_lit_tail; ++i) 
+            lc = lcm(lc, denominator(a.m_arith_hint.lit(i).first));
+            
+        expr_ref_vector args(m);
+        sort_ref_vector sorts(m);
+        for (unsigned i = m_lit_head; i < m_lit_tail; ++i) {            
+            auto const& [coeff, lit] = a.m_arith_hint.lit(i);
+            args.push_back(arith.mk_int(coeff*lc));
+            args.push_back(s.literal2expr(lit));
+        }
+        for (unsigned i = m_eq_head; i < m_eq_tail; ++i) {
+            auto const& [a, b, is_eq] = a.m_arith_hint.eq(i);            
+            expr_ref eq(m.mk_eq(a->get_expr(), b->get_expr()), m);
+            if (!is_eq) eq = m.mk_not(eq);
+            args.push_back(arith.mk_int(lc));
+            args.push_back(eq);
+        }
+        for (expr* a : args)
+            sorts.push_back(a->get_sort());
+        sort* range = m.mk_proof_sort();
+        func_decl* d = m.mk_func_decl(symbol(name), args.size(), sorts.data(), range);
+        expr* r = m.mk_app(d, args);
+        return r;
     }
 }

src/sat/smt/arith_proof_checker.h

@@ -1,5 +1,5 @@
 /*++
-Copyright (c) 2020 Microsoft Corporation
+Copyright (c) 2022 Microsoft Corporation
 
 Module Name:
 
@@ -11,7 +11,15 @@ Abstract:
 
 Author:
 
-    Nikolaj Bjorner (nbjorner) 2020-09-08
+    Nikolaj Bjorner (nbjorner) 2022-08-28
+
+Notes:
+
+The module assumes a limited repertoire of arithmetic proof rules.
+
+- farkas - inequalities, equalities and disequalities with coefficients
+- implied-eq - last literal is a disequality. The literals before imply the corresponding equality.
+- bound - last literal is a bound. It is implied by prior literals.
 
 --*/
 #pragma once
@@ -19,11 +27,12 @@ Author:
 #include "util/obj_pair_set.h"
 #include "ast/ast_trail.h"
 #include "ast/arith_decl_plugin.h"
+#include "sat/smt/euf_proof_checker.h"
 
 
 namespace arith {
 
-    class proof_checker {
+    class proof_checker : public euf::proof_checker_plugin {
         struct row {
             obj_map<expr, rational> m_coeffs;
             rational m_coeff;
@@ -300,6 +309,8 @@ namespace arith {
         
     public:
         proof_checker(ast_manager& m): m(m), a(m) {}
+
+        ~proof_checker() override {}
         
         void reset() {
             m_ineq.reset();
@@ -350,6 +361,47 @@ namespace arith {
             return out;
         }
 
+        bool check(expr_ref_vector const& clause, app* jst) override {
+            reset();
+
+            if (jst->get_name() == symbol("farkas")) {
+                bool even = true;
+                rational coeff;
+                expr* x, *y;
+                for (expr* arg : *jst) {
+                    if (even) {
+                        VERIFY(a.is_numeral(arg, coeff));
+                    }
+                    else {
+                        bool sign = m.is_not(arg, arg);
+                        if (a.is_le(arg) || a.is_lt(arg) || a.is_ge(arg) || a.is_gt(arg)) 
+                            add_ineq(coeff, arg, sign);
+                        else if (m.is_eq(arg, x, y)) {
+                            if (sign)
+                                add_diseq(x, y);
+                            else
+                                add_eq(x, y);
+                        }
+                        else
+                            return false;
+                    }                        
+                    even = !even;
+                }
+                // display(verbose_stream());
+                // todo: correlate with literals in clause, literals that are not in clause should have RUP property.
+                return check_farkas();
+            }
+
+            // todo: rules for bounds and implied-by
+            
+            return false;
+        }
+
+        void register_plugins(euf::proof_checker& pc) {
+            pc.register_plugin(symbol("farkas"), this);
+            pc.register_plugin(symbol("bound"), this);
+            pc.register_plugin(symbol("implied-eq"), this);
+        }
         
     };
 

src/sat/smt/arith_solver.cpp

@@ -39,8 +39,6 @@ namespace arith {
         lp().settings().set_random_seed(get_config().m_random_seed);
         
         m_lia = alloc(lp::int_solver, *m_solver.get());
-        m_farkas2.m_ty = sat::hint_type::farkas_h;
-        m_farkas2.m_literals.resize(2);
     }
 
     solver::~solver() {
@@ -197,11 +195,12 @@ namespace arith {
         reset_evidence();
         m_core.push_back(lit1);
         TRACE("arith", tout << lit2 << " <- " << m_core << "\n";);
-        sat::proof_hint* ph = nullptr;
+        arith_proof_hint* ph = nullptr;
         if (ctx.use_drat()) {
-            ph = &m_farkas2;
+            m_arith_hint.set_type(ctx, hint_type::farkas_h);
-            m_farkas2.m_literals[0] = std::make_pair(rational(1), lit1);
+            m_arith_hint.add_lit(rational(1), lit1);
-            m_farkas2.m_literals[1] = std::make_pair(rational(1), ~lit2);
+            m_arith_hint.add_lit(rational(1), ~lit2);
+            ph = m_arith_hint.mk(ctx);
         }
         assign(lit2, m_core, m_eqs, ph); 
         ++m_stats.m_bounds_propagations;
@@ -262,7 +261,7 @@ namespace arith {
             TRACE("arith", for (auto lit : m_core) tout << lit << ": " << s().value(lit) << "\n";);
             DEBUG_CODE(for (auto lit : m_core) { VERIFY(s().value(lit) == l_true); });
             ++m_stats.m_bound_propagations1;
-            assign(lit, m_core, m_eqs, explain(sat::hint_type::bound_h, lit));
+            assign(lit, m_core, m_eqs, explain(hint_type::bound_h, lit));
         }
 
         if (should_refine_bounds() && first)
@@ -378,7 +377,7 @@ namespace arith {
         reset_evidence();
         m_explanation.clear();
         lp().explain_implied_bound(be, m_bp);
-        assign(bound, m_core, m_eqs, explain(sat::hint_type::farkas_h, bound));
+        assign(bound, m_core, m_eqs, explain(hint_type::farkas_h, bound));
     }
 
 
@@ -1178,7 +1177,7 @@ namespace arith {
             app_ref b = mk_bound(m_lia->get_term(), m_lia->get_offset(), !m_lia->is_upper());
             IF_VERBOSE(4, verbose_stream() << "cut " << b << "\n");
             literal lit = expr2literal(b);
-            assign(lit, m_core, m_eqs, explain(sat::hint_type::bound_h, lit));
+            assign(lit, m_core, m_eqs, explain(hint_type::bound_h, lit));
             lia_check = l_false;
             break;
         }
@@ -1200,7 +1199,7 @@ namespace arith {
         return lia_check;
     }
 
-    void solver::assign(literal lit, literal_vector const& core, svector<enode_pair> const& eqs, sat::proof_hint const* pma) {        
+    void solver::assign(literal lit, literal_vector const& core, svector<enode_pair> const& eqs, euf::th_proof_hint const* pma) {        
         if (core.size() < small_lemma_size() && eqs.empty()) {
             m_core2.reset();
             for (auto const& c : core)
@@ -1247,7 +1246,7 @@ namespace arith {
         for (literal& c : m_core)
             c.neg();
 
-        add_clause(m_core, explain(sat::hint_type::farkas_h));
+        add_clause(m_core, explain(hint_type::farkas_h));
     }
 
     bool solver::is_infeasible() const {

src/sat/smt/arith_solver.h

@@ -48,8 +48,61 @@ namespace arith {
     typedef sat::literal_vector literal_vector;
     typedef lp_api::bound<sat::literal> api_bound;
 
+    enum class hint_type {
+        farkas_h,
+        bound_h,
+        implied_eq_h    
+    };
+
+    struct arith_proof_hint : public euf::th_proof_hint {
+        hint_type                              m_ty;
+        unsigned m_lit_head, m_lit_tail, m_eq_head, m_eq_tail;
+        arith_proof_hint(hint_type t, unsigned lh, unsigned lt, unsigned eh, unsigned et):
+            m_ty(t), m_lit_head(lh), m_lit_tail(lt), m_eq_head(eh), m_eq_tail(et) {}
+        expr* get_hint(euf::solver& s) const override;
+    };
+
+    class arith_proof_hint_builder {
+        vector<std::pair<rational, literal>>   m_literals;
+        svector<std::tuple<euf::enode*,euf::enode*,bool>> m_eqs;
+        hint_type                              m_ty;
+        unsigned                               m_lit_head = 0, m_lit_tail = 0, m_eq_head = 0, m_eq_tail;
+        void reset() { m_lit_head = m_lit_tail; m_eq_head = m_eq_tail; }
+        void add(euf::enode* a, euf::enode* b, bool is_eq) {
+            if (m_eq_tail < m_eqs.size()) 
+                m_eqs[m_eq_tail] = std::tuple(a, b, is_eq); 
+            else 
+                m_eqs.push_back(std::tuple(a, b, is_eq)); 
+            m_eq_tail++; 
+        }
+    public:
+        void set_type(euf::solver& ctx, hint_type ty) { 
+            ctx.push(value_trail<unsigned>(m_eq_tail)); 
+            ctx.push(value_trail<unsigned>(m_lit_tail)); 
+            m_ty = ty; 
+            reset(); 
+        }
+        void add_eq(euf::enode* a, euf::enode* b) { add(a, b, true); }
+        void add_diseq(euf::enode* a, euf::enode* b) { add(a, b, false); }
+        void add_lit(rational const& coeff, literal lit) { 
+            if (m_lit_tail < m_literals.size())
+                m_literals[m_lit_tail] = {coeff, lit};
+            else
+                m_literals.push_back({coeff, lit}); 
+            m_lit_tail++;
+        }
+        std::pair<rational, literal> const& lit(unsigned i) const { return m_literals[i]; }
+        std::tuple<enode*, enode*, bool> const& eq(unsigned i) const { return m_eqs[i]; }
+        arith_proof_hint* mk(euf::solver& s) { 
+            return new (s.get_region()) arith_proof_hint(m_ty, m_lit_head, m_lit_tail, m_eq_head, m_eq_tail);
+        }
+    };
+
+
     class solver : public euf::th_euf_solver {
 
+        friend struct arith_proof_hint;
+
         struct scope {
             unsigned m_bounds_lim;
             unsigned m_idiv_lim;
@@ -414,15 +467,15 @@ namespace arith {
         void set_conflict();
         void set_conflict_or_lemma(literal_vector const& core, bool is_conflict);
         void set_evidence(lp::constraint_index idx);
-        void assign(literal lit, literal_vector const& core, svector<enode_pair> const& eqs, sat::proof_hint const* pma);
+        void assign(literal lit, literal_vector const& core, svector<enode_pair> const& eqs, euf::th_proof_hint const* pma);
 
         void false_case_of_check_nla(const nla::lemma& l);        
         void dbg_finalize_model(model& mdl);
 
-        sat::proof_hint m_arith_hint;
+        arith_proof_hint_builder m_arith_hint;
-        sat::proof_hint m_farkas2;
+
-        sat::proof_hint const* explain(sat::hint_type ty, sat::literal lit = sat::null_literal);
+        arith_proof_hint const* explain(hint_type ty, sat::literal lit = sat::null_literal);
-        sat::proof_hint const* explain_implied_eq(euf::enode* a, euf::enode* b);
+        arith_proof_hint const* explain_implied_eq(euf::enode* a, euf::enode* b);
         void explain_assumptions();
 
 

src/sat/smt/bv_solver.cpp

@@ -391,8 +391,8 @@ namespace bv {
         if (c.m_kind != bv_justification::kind_t::bit2ne) {
             expr* e1 = var2expr(c.m_v1);
             expr* e2 = var2expr(c.m_v2);
-            eq = m.mk_eq(e1, e2);       
+            eq = m.mk_eq(e1, e2);      
-            ctx.drat_eq_def(leq, eq);
+            ctx.set_tmp_bool_var(leq.var(), eq);
         }
 
         sat::literal_vector lits;

src/sat/smt/euf_proof.cpp

@@ -21,130 +21,21 @@ Author:
 
 namespace euf {
 
-    void solver::init_drat() {
+    void solver::init_proof() {
-        if (!m_drat_initialized) {
+        if (!m_proof_initialized) {
             get_drat().add_theory(get_id(), symbol("euf"));
             get_drat().add_theory(m.get_basic_family_id(), symbol("bool"));
         }
-        m_drat_initialized = true;
+        if (!m_proof_out && s().get_config().m_drat && 
-    }
+            (get_config().m_lemmas2console || s().get_config().m_smt_proof.is_non_empty_string())) {
-
+            TRACE("euf", tout << "init-proof\n");
-    void solver::def_add_arg(unsigned arg) {
+            m_proof_out = alloc(std::ofstream, s().get_config().m_smt_proof.str(), std::ios_base::out);
-        auto* out = get_drat().out();
+            if (get_config().m_lemmas2console) 
-        if (out)
+                get_drat().set_clause_eh(*this);
-            (*out) << " " << arg;
+            if (s().get_config().m_smt_proof.is_non_empty_string()) 
-    }
+                get_drat().set_clause_eh(*this);
-
-    void solver::def_end() {
-        auto* out = get_drat().out();
-        if (out)
-            (*out) << " 0\n";
-    }
-
-    void solver::def_begin(char id, unsigned n, std::string const& name) {
-        auto* out = get_drat().out();
-        if (out)
-            (*out) << id << " " << n << " " << name;
-    }
-
-    void solver::bool_def(bool_var v, unsigned n) {
-        auto* out = get_drat().out();
-        if (out)
-            (*out) << "b " << v << " " << n << " 0\n";
-    }
-
-
-    void solver::drat_log_params(func_decl* f) {
-        for (unsigned i = f->get_num_parameters(); i-- > 0; ) {
-            auto const& p = f->get_parameter(i);
-            if (!p.is_ast()) 
-                continue;
-            ast* a = p.get_ast();
-            if (is_func_decl(a))
-                drat_log_decl(to_func_decl(a));
         }
-    }
+        m_proof_initialized = true;
-    
-    void solver::drat_log_expr1(expr* e) {
-        if (is_app(e)) {
-            app* a = to_app(e);
-            drat_log_params(a->get_decl());
-            drat_log_decl(a->get_decl());
-            std::stringstream strm;
-            strm << mk_ismt2_func(a->get_decl(), m);
-            def_begin('e', e->get_id(), strm.str());
-            for (expr* arg : *a)
-                def_add_arg(arg->get_id());
-            def_end();
-        }
-        else if (is_var(e)) {
-            var* v = to_var(e);
-            def_begin('v', v->get_id(), "" + mk_pp(e->get_sort(), m));
-            def_add_arg(v->get_idx());
-            def_end();
-        }
-        else if (is_quantifier(e)) {
-            quantifier* q = to_quantifier(e);
-            std::stringstream strm;           
-            strm << "(" << (is_forall(q) ? "forall" : (is_exists(q) ? "exists" : "lambda"));
-            for (unsigned i = 0; i < q->get_num_decls(); ++i) 
-                strm << " (" << q->get_decl_name(i) << " " << mk_pp(q->get_decl_sort(i), m) << ")";            
-            strm << ")";
-            def_begin('q', q->get_id(), strm.str());
-            def_add_arg(q->get_expr()->get_id());
-            def_end();
-        }
-        else 
-            UNREACHABLE();
-        m_drat_asts.insert(e);
-        push(insert_obj_trail<ast>(m_drat_asts, e));
-    }
-
-    void solver::drat_log_expr(expr* e) {
-        if (m_drat_asts.contains(e))
-            return;
-        ptr_vector<expr>::scoped_stack _sc(m_drat_todo);
-        m_drat_todo.push_back(e);
-        while (!m_drat_todo.empty()) {
-            e = m_drat_todo.back();
-            unsigned sz = m_drat_todo.size();
-            if (is_app(e)) 
-                for (expr* arg : *to_app(e))
-                    if (!m_drat_asts.contains(arg))
-                        m_drat_todo.push_back(arg);
-            if (is_quantifier(e)) {
-                expr* arg = to_quantifier(e)->get_expr();
-                if (!m_drat_asts.contains(arg))
-                    m_drat_todo.push_back(arg);                
-            }                
-            if (m_drat_todo.size() != sz)
-                continue;
-            if (!m_drat_asts.contains(e))
-                drat_log_expr1(e);
-            m_drat_todo.pop_back();                   
-        }
-    }
-
-    void solver::drat_bool_def(sat::bool_var v, expr* e) {
-        if (!use_drat())
-            return;
-        drat_log_expr(e);
-        bool_def(v, e->get_id());
-    }
-
-
-    void solver::drat_log_decl(func_decl* f) {
-        if (f->get_family_id() != null_family_id) 
-            return;
-        if (m_drat_asts.contains(f))
-            return;
-        m_drat_asts.insert(f);
-        push(insert_obj_trail< ast>(m_drat_asts, f));
-        std::ostringstream strm;
-        smt2_pp_environment_dbg env(m);
-        ast_smt2_pp(strm, f, env);
-        def_begin('f', f->get_small_id(), strm.str());
-        def_end();
     }
 
     /**
@@ -183,16 +74,19 @@ namespace euf {
         }
     }
 
+    void solver::set_tmp_bool_var(bool_var b, expr* e) {
+        m_bool_var2expr.setx(b, e, nullptr);
+    }
+
     void solver::log_justification(literal l, th_explain const& jst) {
         literal_vector lits;
-        unsigned nv = s().num_vars();
         expr_ref_vector eqs(m);
+        unsigned nv = s().num_vars();
         auto add_lit = [&](enode_pair const& eq) {
             ++nv;
-            literal lit(nv, false);
             eqs.push_back(m.mk_eq(eq.first->get_expr(), eq.second->get_expr()));
-            drat_eq_def(lit, eqs.back());            
+            set_tmp_bool_var(nv, eqs.back());
-            return lit;
+            return literal(nv, false);
         };
 
         for (auto lit : euf::th_explain::lits(jst))
@@ -208,68 +102,133 @@ namespace euf {
         get_drat().add(lits, sat::status::th(m_is_redundant, jst.ext().get_id(), jst.get_pragma()));
     }
 
-    void solver::drat_eq_def(literal lit, expr* eq) {
+    void solver::on_clause(unsigned n, literal const* lits, sat::status st) {
-        expr *a = nullptr, *b = nullptr;
+        TRACE("euf", tout << "on-clause " << n << "\n");
-        VERIFY(m.is_eq(eq, a, b));
+        on_lemma(n, lits, st);
-        drat_log_expr(a);
+        on_proof(n, lits, st);
-        drat_log_expr(b);
-        def_begin('e', eq->get_id(), std::string("="));
-        def_add_arg(a->get_id());
-        def_add_arg(b->get_id());
-        def_end();
-        bool_def(lit.var(), eq->get_id());
     }
 
-    void solver::on_clause(unsigned n, literal const* lits, sat::status st) {
+    void solver::on_proof(unsigned n, literal const* lits, sat::status st) {
+        if (!m_proof_out)
+            return;
+        flet<bool> _display_all_decls(m_display_all_decls, true);
+        std::ostream& out = *m_proof_out;
+        if (!visit_clause(out, n, lits))
+            return;
+        if (st.is_asserted()) 
+            display_redundant(out, n, lits, status2proof_hint(st));
+        else if (st.is_deleted()) 
+            display_deleted(out, n, lits);        
+        else if (st.is_redundant()) 
+            display_redundant(out, n, lits, status2proof_hint(st));
+        else if (st.is_input()) 
+            display_assume(out, n, lits);
+        else 
+            UNREACHABLE();
+        out.flush();
+    }
+        
+    void solver::on_lemma(unsigned n, literal const* lits, sat::status st) {
         if (!get_config().m_lemmas2console) 
             return;
         if (!st.is_redundant() && !st.is_asserted()) 
             return;
-
         
-        if (!visit_clause(n, lits))
+        std::ostream& out = std::cout;
+        if (!visit_clause(out, n, lits))
             return;
-
         std::function<symbol(int)> ppth = [&](int th) {
             return m.get_family_name(th);
         };
         if (!st.is_sat())
-            std::cout << "; " << sat::status_pp(st, ppth) << "\n";
+            out << "; " << sat::status_pp(st, ppth) << "\n";
 
-        display_clause(n, lits);
+        display_assert(out, n, lits);
     }
 
+    void solver::on_instantiation(unsigned n, sat::literal const* lits, unsigned k, euf::enode* const* bindings) {
+        std::ostream& out = std::cout;
+        for (unsigned i = 0; i < k; ++i)
+            visit_expr(out, bindings[i]->get_expr());        
+        VERIFY(visit_clause(out, n, lits));
+        out << "(instantiate";
+        display_literals(out, n, lits);
+        for (unsigned i = 0; i < k; ++i) 
+            display_expr(out << " :binding ", bindings[i]->get_expr());
+        out << ")\n";
+    }
 
-    bool solver::visit_clause(unsigned n, literal const* lits) {
+    bool solver::visit_clause(std::ostream& out, unsigned n, literal const* lits) {
         for (unsigned i = 0; i < n; ++i) {
             expr* e = bool_var2expr(lits[i].var());
             if (!e)
                 return false;
-            visit_expr(e);
+            visit_expr(out, e);
         }
         return true;
     }
 
-    void solver::display_clause(unsigned n, literal const* lits) {
+    void solver::display_assert(std::ostream& out, unsigned n, literal const* lits) {
-        std::cout << "(assert (or";
+        display_literals(out << "(assert (or", n, lits) << "))\n";
+    }
+    
+    void solver::display_assume(std::ostream& out, unsigned n, literal const* lits) {
+        display_literals(out << "(assume", n, lits) << ")\n";        
+    }
+
+    void solver::display_redundant(std::ostream& out, unsigned n, literal const* lits, expr_ref& proof_hint) {
+        if (proof_hint)
+            visit_expr(out, proof_hint);
+        display_hint(display_literals(out << "(learn", n, lits), proof_hint) << ")\n";        
+    }
+
+    void solver::display_deleted(std::ostream& out, unsigned n, literal const* lits) {
+        display_literals(out << "(del", n, lits) << ")\n";        
+    }
+
+    std::ostream& solver::display_hint(std::ostream& out, expr* proof_hint) {
+        if (proof_hint)
+            return display_expr(out << " ", proof_hint);
+        else
+            return out;
+    }
+
+    expr_ref solver::status2proof_hint(sat::status st) {
+        if (st.is_sat()) 
+            return expr_ref(m.mk_const("rup", m.mk_proof_sort()), m); // provable by reverse unit propagation
+        auto* h = reinterpret_cast<euf::th_proof_hint const*>(st.get_hint());
+        if (!h)
+            return expr_ref(m);
+
+        expr* e = h->get_hint(*this);
+        if (e)
+            return expr_ref(e, m);
+
+        return expr_ref(m);        
+    }
+
+    std::ostream& solver::display_literals(std::ostream& out, unsigned n, literal const* lits) {
         for (unsigned i = 0; i < n; ++i) {
             expr* e = bool_var2expr(lits[i].var());
             if (lits[i].sign())
-                m_clause_visitor.display_expr_def(std::cout << " (not ", e) << ")";
+                display_expr(out << " (not ", e) << ")";
             else
-                m_clause_visitor.display_expr_def(std::cout << " ", e);
+                display_expr(out << " ", e);
         }
-        std::cout << "))\n";
+        return out;
     }
 
-    void solver::visit_expr(expr* e) {
+    void solver::visit_expr(std::ostream& out, expr* e) {
         m_clause_visitor.collect(e);
-        m_clause_visitor.display_skolem_decls(std::cout);
+        if (m_display_all_decls)
-        m_clause_visitor.define_expr(std::cout, e);
+            m_clause_visitor.display_decls(out);
+        else
+            m_clause_visitor.display_skolem_decls(out);
+        m_clause_visitor.define_expr(out, e);
     }
 
-    void solver::display_expr(expr* e) {
+    std::ostream& solver::display_expr(std::ostream& out, expr* e) {
-        m_clause_visitor.display_expr_def(std::cout, e);
+        return m_clause_visitor.display_expr_def(out, e);
     }
 
 }

src/sat/smt/euf_proof_checker.cpp

@@ -0,0 +1,48 @@
+/*++
+Copyright (c) 2020 Microsoft Corporation
+
+Module Name:
+
+    euf_proof_checker.cpp
+
+Abstract:
+
+    Plugin manager for checking EUF proofs
+
+Author:
+
+    Nikolaj Bjorner (nbjorner) 2020-08-25
+
+--*/
+
+#include "ast/ast_pp.h"
+#include "sat/smt/euf_proof_checker.h"
+#include "sat/smt/arith_proof_checker.h"
+
+namespace euf {
+
+    proof_checker::proof_checker(ast_manager& m):
+        m(m) {
+        arith::proof_checker* apc = alloc(arith::proof_checker, m);
+        m_plugins.push_back(apc);
+        apc->register_plugins(*this);
+    }
+
+    proof_checker::~proof_checker() {}
+
+    void proof_checker::register_plugin(symbol const& rule, proof_checker_plugin* p) {
+        m_map.insert(rule, p);
+    }
+
+    bool proof_checker::check(expr_ref_vector const& clause, expr* e) {
+        if (!e || !is_app(e))
+            return false;
+        app* a = to_app(e);
+        proof_checker_plugin* p = nullptr;
+        if (m_map.find(a->get_decl()->get_name(), p)) 
+            return p->check(clause, a);
+        return false;
+    }
+
+}
+

src/sat/smt/euf_proof_checker.h

@@ -0,0 +1,46 @@
+/*++
+Copyright (c) 2022 Microsoft Corporation
+
+Module Name:
+
+    euf_proof_checker.h
+
+Abstract:
+
+    Plugin manager for checking EUF proofs
+
+Author:
+
+    Nikolaj Bjorner (nbjorner) 2022-08-25
+
+--*/
+#pragma once
+
+#include "util/map.h"
+#include "util/scoped_ptr_vector.h"
+#include "ast/ast.h"
+
+namespace euf {
+
+    class proof_checker;
+
+    class proof_checker_plugin {
+    public:
+        virtual ~proof_checker_plugin() {}
+        virtual bool check(expr_ref_vector const& clause, app* jst) = 0;        
+        virtual void register_plugins(proof_checker& pc) = 0;
+    };
+
+    class proof_checker {
+        ast_manager& m;
+        scoped_ptr_vector<proof_checker_plugin> m_plugins;
+        map<symbol, proof_checker_plugin*, symbol_hash_proc, symbol_eq_proc> m_map;
+    public:
+        proof_checker(ast_manager& m);
+        ~proof_checker();
+        void register_plugin(symbol const& rule, proof_checker_plugin*);
+        bool check(expr_ref_vector const& clause, expr* e);
+    };
+
+}
+

src/sat/smt/euf_solver.cpp

@@ -170,9 +170,6 @@ namespace euf {
         TRACE("before_search", s().display(tout););
         for (auto* s : m_solvers)
             s->init_search();
-
-        if (get_config().m_lemmas2console) 
-            get_drat().set_print_clause(*this);
     }
 
     bool solver::is_external(bool_var v) {

src/sat/smt/euf_solver.h

@@ -60,11 +60,10 @@ namespace euf {
         std::ostream& display(std::ostream& out) const;
     };
 
-    class solver : public sat::extension, public th_internalizer, public th_decompile, public sat::print_clause {
+    class solver : public sat::extension, public th_internalizer, public th_decompile, public sat::clause_eh {
         typedef top_sort<euf::enode> deps_t;
         friend class ackerman;
         class user_sort;
-        // friend class sat::ba_solver;
         struct stats {
             unsigned m_ackerman;
             unsigned m_final_checks;
@@ -175,26 +174,22 @@ namespace euf {
         void log_antecedents(std::ostream& out, literal l, literal_vector const& r);
         void log_antecedents(literal l, literal_vector const& r);
         void log_justification(literal l, th_explain const& jst);
-        void drat_log_decl(func_decl* f);
-        void drat_log_params(func_decl* f);
-        void drat_log_expr1(expr* n);
-        ptr_vector<expr> m_drat_todo;
-        obj_hashtable<ast> m_drat_asts;
-        bool m_drat_initialized{ false };
-        void init_drat();
-        ast_pp_util m_clause_visitor;
-        void on_clause(unsigned n, literal const* lits, sat::status st) override;
-        void def_add_arg(unsigned arg);
-        void def_end();
-        void def_begin(char id, unsigned n, std::string const& name);
 
+        bool m_proof_initialized = false;
+        void init_proof();
+        ast_pp_util m_clause_visitor;
+        bool m_display_all_decls = false;
+        void on_clause(unsigned n, literal const* lits, sat::status st) override;
+        void on_lemma(unsigned n, literal const* lits, sat::status st);
+        void on_proof(unsigned n, literal const* lits, sat::status st);
+        std::ostream& display_literals(std::ostream& out, unsigned n, sat::literal const* lits);
+        void display_assume(std::ostream& out, unsigned n, literal const* lits);
+        void display_redundant(std::ostream& out, unsigned n, literal const* lits, expr_ref& proof_hint);        
+        void display_deleted(std::ostream& out, unsigned n, literal const* lits);
+        std::ostream& display_hint(std::ostream& out, expr* proof_hint);
+        expr_ref status2proof_hint(sat::status st);
 
         // relevancy
-        //bool_vector m_relevant_expr_ids;
-        //bool_vector m_relevant_visited;
-        //ptr_vector<expr> m_relevant_todo;
-        //void init_relevant_expr_ids();
-        //void push_relevant(sat::bool_var v);
         bool is_propagated(sat::literal lit);
         // invariant
         void check_eqc_bool_assignment() const;
@@ -347,16 +342,16 @@ namespace euf {
 
 
         // proof
-        bool use_drat() { return s().get_config().m_drat && (init_drat(), true); }
+        bool use_drat() { return s().get_config().m_drat && (init_proof(), true); }
         sat::drat& get_drat() { return s().get_drat(); }
-        void drat_bool_def(sat::bool_var v, expr* n);
+
-        void drat_eq_def(sat::literal lit, expr* eq);
+        void set_tmp_bool_var(sat::bool_var b, expr* e);
-        void drat_log_expr(expr* n);
+        bool visit_clause(std::ostream& out, unsigned n, literal const* lits);
-        void bool_def(bool_var v, unsigned n);
+        void display_assert(std::ostream& out, unsigned n, literal const* lits);
-        bool visit_clause(unsigned n, literal const* lits);
+        void visit_expr(std::ostream& out, expr* e);
-        void display_clause(unsigned n, literal const* lits);
+        std::ostream& display_expr(std::ostream& out, expr* e);        
-        void visit_expr(expr* e);
+        void on_instantiation(unsigned n, sat::literal const* lits, unsigned k, euf::enode* const* bindings);
-        void display_expr(expr* e);
+        scoped_ptr<std::ostream> m_proof_out;
 
         // decompile
         bool extract_pb(std::function<void(unsigned sz, literal const* c, unsigned k)>& card,

src/sat/smt/q_solver.cpp

@@ -360,19 +360,7 @@ namespace q {
     void solver::log_instantiation(unsigned n, sat::literal const* lits, justification* j) {
         TRACE("q", for (unsigned i = 0; i < n; ++i) tout << literal2expr(lits[i]) << "\n";);
         if (get_config().m_instantiations2console) {
-
+            ctx.on_instantiation(n, lits, j ? j->m_clause.num_decls() : 0, j ? j->m_binding : nullptr);
-            ctx.visit_clause(n, lits);
-            if (j) {
-                for (unsigned i = 0; i < j->m_clause.num_decls(); ++i)
-                    ctx.visit_expr(j->m_binding[i]->get_expr());
-                std::cout << "; (instantiation";
-                for (unsigned i = 0; i < j->m_clause.num_decls(); ++i) {
-                    std::cout << " ";
-                    ctx.display_expr(j->m_binding[i]->get_expr());
-                }
-                std::cout << ")\n";
-            }
-            ctx.display_clause(n, lits);
         }
     }
 }

src/sat/smt/sat_th.cpp

@@ -125,7 +125,7 @@ namespace euf {
             pop_core(n);        
     }
 
-    sat::status th_euf_solver::mk_status(sat::proof_hint const* ps) {
+    sat::status th_euf_solver::mk_status(th_proof_hint const* ps) {
         return sat::status::th(m_is_redundant, get_id(), ps);
     }
 
@@ -149,7 +149,7 @@ namespace euf {
         return add_clause(2, lits);
     }
 
-    bool th_euf_solver::add_clause(sat::literal a, sat::literal b, sat::proof_hint const* ps) {      
+    bool th_euf_solver::add_clause(sat::literal a, sat::literal b, th_proof_hint const* ps) {      
         sat::literal lits[2] = { a, b };
         return add_clause(2, lits, ps);
     }
@@ -164,7 +164,7 @@ namespace euf {
         return add_clause(4, lits);
     }
 
-    bool th_euf_solver::add_clause(unsigned n, sat::literal* lits, sat::proof_hint const* ps) {
+    bool th_euf_solver::add_clause(unsigned n, sat::literal* lits, th_proof_hint const* ps) {
         bool was_true = false;
         for (unsigned i = 0; i < n; ++i)       
             was_true |= is_true(lits[i]);
@@ -226,13 +226,14 @@ namespace euf {
         return ctx.s().rand()();
     }
 
-    size_t th_explain::get_obj_size(unsigned num_lits, unsigned num_eqs, sat::proof_hint const* pma) {
+    size_t th_explain::get_obj_size(unsigned num_lits, unsigned num_eqs) {
-        return sat::constraint_base::obj_size(sizeof(th_explain) + sizeof(sat::literal) * num_lits + sizeof(enode_pair) * num_eqs + (pma?pma->to_string().length()+1:1));
+        return sat::constraint_base::obj_size(sizeof(th_explain) + sizeof(sat::literal) * num_lits + sizeof(enode_pair) * num_eqs);
     }
 
-    th_explain::th_explain(unsigned n_lits, sat::literal const* lits, unsigned n_eqs, enode_pair const* eqs, sat::literal c, enode_pair const& p, sat::proof_hint const* pma) {
+    th_explain::th_explain(unsigned n_lits, sat::literal const* lits, unsigned n_eqs, enode_pair const* eqs, sat::literal c, enode_pair const& p, th_proof_hint const* pma) {
         m_consequent = c;
         m_eq = p;
+        m_proof_hint = pma;
         m_num_literals = n_lits;
         m_num_eqs = n_eqs;
         char * base_ptr = reinterpret_cast<char*>(this) + sizeof(th_explain); 
@@ -244,33 +245,24 @@ namespace euf {
         m_eqs = reinterpret_cast<enode_pair*>(base_ptr);
         for (i = 0; i < n_eqs; ++i)
             m_eqs[i] = eqs[i];
-        base_ptr += sizeof(enode_pair) * n_eqs;        
-        m_pragma = reinterpret_cast<char*>(base_ptr);
-        i = 0;
-        if (pma) {
-            std::string s = pma->to_string();
-            for (i = 0; s[i]; ++i)
-                m_pragma[i] = s[i];
-        }
-        m_pragma[i] = 0;
     }
 
-    th_explain* th_explain::mk(th_euf_solver& th, unsigned n_lits, sat::literal const* lits, unsigned n_eqs, enode_pair const* eqs, sat::literal c, enode* x, enode* y, sat::proof_hint const* pma) {
+    th_explain* th_explain::mk(th_euf_solver& th, unsigned n_lits, sat::literal const* lits, unsigned n_eqs, enode_pair const* eqs, sat::literal c, enode* x, enode* y, th_proof_hint const* pma) {
         region& r = th.ctx.get_region();
-        void* mem = r.allocate(get_obj_size(n_lits, n_eqs, pma));
+        void* mem = r.allocate(get_obj_size(n_lits, n_eqs));
         sat::constraint_base::initialize(mem, &th);
-        return new (sat::constraint_base::ptr2mem(mem)) th_explain(n_lits, lits, n_eqs, eqs, c, enode_pair(x, y));
+        return new (sat::constraint_base::ptr2mem(mem)) th_explain(n_lits, lits, n_eqs, eqs, c, enode_pair(x, y), pma);
     }
 
-    th_explain* th_explain::propagate(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs, sat::literal consequent, sat::proof_hint const* pma) {
+    th_explain* th_explain::propagate(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs, sat::literal consequent, th_proof_hint const* pma) {
         return mk(th, lits.size(), lits.data(), eqs.size(), eqs.data(), consequent, nullptr, nullptr, pma);
     }
 
-    th_explain* th_explain::propagate(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs, euf::enode* x, euf::enode* y, sat::proof_hint const* pma) {
+    th_explain* th_explain::propagate(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs, euf::enode* x, euf::enode* y, th_proof_hint const* pma) {
         return mk(th, lits.size(), lits.data(), eqs.size(), eqs.data(), sat::null_literal, x, y, pma);
     }
 
-    th_explain* th_explain::propagate(th_euf_solver& th, enode_pair_vector const& eqs, euf::enode* x, euf::enode* y, sat::proof_hint const* pma) {
+    th_explain* th_explain::propagate(th_euf_solver& th, enode_pair_vector const& eqs, euf::enode* x, euf::enode* y, th_proof_hint const* pma) {
         return mk(th, 0, nullptr, eqs.size(), eqs.data(), sat::null_literal, x, y, pma);
     }
 
@@ -313,8 +305,8 @@ namespace euf {
             out << "--> " << m_consequent;
         if (m_eq.first != nullptr)
             out << "--> " << m_eq.first->get_expr_id() << " == " << m_eq.second->get_expr_id();
-        if (m_pragma != nullptr)
+        if (m_proof_hint != nullptr)
-            out << " p " << m_pragma;
+            out << " p ";
         return out;
     }
 

src/sat/smt/sat_th.h

@@ -58,6 +58,7 @@ namespace euf {
 
     };
 
+
     class th_decompile {
     public:
         virtual ~th_decompile() = default;
@@ -138,6 +139,11 @@ namespace euf {
 
     };
 
+    class th_proof_hint : public sat::proof_hint {
+    public:
+        virtual expr* get_hint(euf::solver& s) const = 0;
+    };
+
     class th_euf_solver : public th_solver {
     protected:
         solver& ctx;
@@ -150,16 +156,16 @@ namespace euf {
         region& get_region();
 
 
-        sat::status mk_status(sat::proof_hint const* ps = nullptr);
+        sat::status mk_status(th_proof_hint const* ps = nullptr);
         bool add_unit(sat::literal lit);
         bool add_units(sat::literal_vector const& lits);
         bool add_clause(sat::literal lit) { return add_unit(lit); }
         bool add_clause(sat::literal a, sat::literal b);
-        bool add_clause(sat::literal a, sat::literal b, sat::proof_hint const* ps);
+        bool add_clause(sat::literal a, sat::literal b, th_proof_hint const* ps);
         bool add_clause(sat::literal a, sat::literal b, sat::literal c);
         bool add_clause(sat::literal a, sat::literal b, sat::literal c, sat::literal d);
-        bool add_clause(sat::literal_vector const& lits, sat::proof_hint const* ps = nullptr) { return add_clause(lits.size(), lits.data(), ps); }
+        bool add_clause(sat::literal_vector const& lits, th_proof_hint const* ps = nullptr) { return add_clause(lits.size(), lits.data(), ps); }
-        bool add_clause(unsigned n, sat::literal* lits, sat::proof_hint const* ps = nullptr);
+        bool add_clause(unsigned n, sat::literal* lits, th_proof_hint const* ps = nullptr);
         void add_equiv(sat::literal a, sat::literal b);
         void add_equiv_and(sat::literal a, sat::literal_vector const& bs);
 
@@ -220,16 +226,16 @@ namespace euf {
     * that retrieve literals on demand.
     */
     class th_explain {
-        sat::literal   m_consequent = sat::null_literal; // literal consequent for propagations
+        sat::literal     m_consequent = sat::null_literal; // literal consequent for propagations
-        enode_pair     m_eq = enode_pair();              // equality consequent for propagations
+        enode_pair       m_eq = enode_pair();              // equality consequent for propagations
+        th_proof_hint const* m_proof_hint;
         unsigned       m_num_literals;
         unsigned       m_num_eqs;        
         sat::literal*  m_literals;
         enode_pair*    m_eqs;
-        char*          m_pragma = nullptr;
+        static size_t get_obj_size(unsigned num_lits, unsigned num_eqs);
-        static size_t get_obj_size(unsigned num_lits, unsigned num_eqs, sat::proof_hint const* pma);
+        th_explain(unsigned n_lits, sat::literal const* lits, unsigned n_eqs, enode_pair const* eqs, sat::literal c, enode_pair const& eq, th_proof_hint const* pma = nullptr);
-        th_explain(unsigned n_lits, sat::literal const* lits, unsigned n_eqs, enode_pair const* eqs, sat::literal c, enode_pair const& eq, sat::proof_hint const* pma = nullptr);
+        static th_explain* mk(th_euf_solver& th, unsigned n_lits, sat::literal const* lits, unsigned n_eqs, enode_pair const* eqs, sat::literal c, enode* x, enode* y, th_proof_hint const* pma = nullptr);
-        static th_explain* mk(th_euf_solver& th, unsigned n_lits, sat::literal const* lits, unsigned n_eqs, enode_pair const* eqs, sat::literal c, enode* x, enode* y, sat::proof_hint const* pma = nullptr);
 
     public:
         static th_explain* conflict(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs);
@@ -240,9 +246,9 @@ namespace euf {
         static th_explain* conflict(th_euf_solver& th, sat::literal lit, euf::enode* x, euf::enode* y);
         static th_explain* conflict(th_euf_solver& th, euf::enode* x, euf::enode* y);
         static th_explain* propagate(th_euf_solver& th, sat::literal lit, euf::enode* x, euf::enode* y);
-        static th_explain* propagate(th_euf_solver& th, enode_pair_vector const& eqs, euf::enode* x, euf::enode* y, sat::proof_hint const* pma = nullptr);
+        static th_explain* propagate(th_euf_solver& th, enode_pair_vector const& eqs, euf::enode* x, euf::enode* y, th_proof_hint const* pma = nullptr);
-        static th_explain* propagate(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs, sat::literal consequent, sat::proof_hint const* pma = nullptr);
+        static th_explain* propagate(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs, sat::literal consequent, th_proof_hint const* pma = nullptr);
-        static th_explain* propagate(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs, euf::enode* x, euf::enode* y, sat::proof_hint const* pma = nullptr);
+        static th_explain* propagate(th_euf_solver& th, sat::literal_vector const& lits, enode_pair_vector const& eqs, euf::enode* x, euf::enode* y, th_proof_hint const* pma = nullptr);
 
         sat::ext_constraint_idx to_index() const {
             return sat::constraint_base::mem2base(this);
@@ -277,7 +283,7 @@ namespace euf {
 
         enode_pair eq_consequent() const { return m_eq; }
 
-        sat::proof_hint const* get_pragma() const { return nullptr; } //*m_pragma ? m_pragma : nullptr; }
+        th_proof_hint const* get_pragma() const { return m_proof_hint; } 
 
     };
 

src/sat/tactic/goal2sat.cpp

@@ -75,7 +75,6 @@ struct goal2sat::imp : public sat::sat_internalizer {
     func_decl_ref_vector        m_unhandled_funs;
     bool                        m_default_external;
     bool                        m_euf { false };
-    bool                        m_drat { false };
     bool                        m_is_redundant { false };
     bool                        m_top_level { false };
     sat::literal_vector         aig_lits;
@@ -102,7 +101,6 @@ struct goal2sat::imp : public sat::sat_internalizer {
         m_ite_extra  = p.get_bool("ite_extra", true);
         m_max_memory = megabytes_to_bytes(p.get_uint("max_memory", UINT_MAX));
         m_euf = sp.euf();
-        m_drat = sp.drat_file().is_non_empty_string();
     }
 
     void throw_op_not_handled(std::string const& s) {
@@ -169,15 +167,9 @@ struct goal2sat::imp : public sat::sat_internalizer {
         if (m_expr2var_replay && m_expr2var_replay->find(n, v))
             return v;
         v = m_solver.add_var(is_ext);
-        log_def(v, n);
         return v;
     }
 
-    void log_def(sat::bool_var v, expr* n) {
-        if (m_drat && m_euf)
-            ensure_euf()->drat_bool_def(v, n);
-    }
-
     sat::bool_var to_bool_var(expr* e) override {
         sat::literal l;
         sat::bool_var v = m_map.to_bool_var(e);

src/shell/drat_frontend.cpp

@@ -17,90 +17,22 @@ Copyright (c) 2020 Microsoft Corporation
 #include "cmd_context/cmd_context.h"
 #include "ast/proofs/proof_checker.h"
 #include "ast/rewriter/th_rewriter.h"
+#include "ast/reg_decl_plugins.h"
 #include "sat/smt/arith_proof_checker.h"
 
 
-class smt_checker {
+class drup_checker {
-    ast_manager& m;
     sat::drat& m_drat;
-    expr_ref_vector const& m_b2e;
-    expr_ref_vector m_fresh_exprs;
-    expr_ref_vector m_core;
-    expr_ref_vector m_inputs;
-    params_ref m_params;
-    scoped_ptr<solver> m_lemma_solver, m_input_solver;
     sat::literal_vector m_units;
-    bool m_check_inputs { false };
+    bool m_check_inputs = false;
-
-    expr* fresh(expr* e) {
-        unsigned i = e->get_id();
-        m_fresh_exprs.reserve(i + 1);
-        expr* r = m_fresh_exprs.get(i);
-        if (!r) {
-            r = m.mk_fresh_const("sk", e->get_sort());
-            m_fresh_exprs[i] = r;
-        }
-        return r;
-    }
-
-    expr_ref define(expr* e, unsigned depth) {
-        expr_ref r(fresh(e), m);
-        m_core.push_back(m.mk_eq(r, e));
-        if (depth == 0)
-            return r;
-        r = e;
-        if (is_app(e)) {
-            expr_ref_vector args(m);
-            for (expr* arg : *to_app(e)) 
-                args.push_back(define(arg, depth - 1));
-            r = m.mk_app(to_app(e)->get_decl(), args.size(), args.data());
-        }
-        return r;
-    }
-
-    void unfold1(sat::literal_vector const& lits) {
-        m_core.reset();
-        for (sat::literal lit : lits) {
-            expr* e = m_b2e[lit.var()];
-            expr_ref fml = define(e, 2);
-            if (!lit.sign())
-                fml = m.mk_not(fml);
-            m_core.push_back(fml);
-        }
-    }
-
-    expr_ref lit2expr(sat::literal lit) {
-        return expr_ref(lit.sign() ? m.mk_not(m_b2e[lit.var()]) : m_b2e[lit.var()], m);
-    }
 
     void add_units() {
         auto const& units = m_drat.units();
-#if 0
-        for (unsigned i = m_units.size(); i < units.size(); ++i) {
-            sat::literal lit = units[i].first;            
-            m_lemma_solver->assert_expr(lit2expr(lit));
-        }
-#endif
         for (unsigned i = m_units.size(); i < units.size(); ++i)
             m_units.push_back(units[i].first);
     }
 
     void check_assertion_redundant(sat::literal_vector const& input) {
-        expr_ref_vector args(m);
-        for (auto lit : input)
-            args.push_back(lit2expr(lit));
-        m_inputs.push_back(args.size() == 1 ? args.back() : m.mk_or(args));
-
-        m_input_solver->push();
-        for (auto lit : input) {
-            m_input_solver->assert_expr(lit2expr(~lit));
-        }
-        lbool is_sat = m_input_solver->check_sat();
-        if (is_sat != l_false) {
-            std::cout << "Failed to verify input\n";
-            exit(0);
-        }
-        m_input_solver->pop(1);
     }
 
 
@@ -112,59 +44,71 @@ class smt_checker {
     */
     sat::literal_vector drup_units;
 
-    void check_clause(sat::literal_vector const& lits) {
+    void check_clause(sat::literal_vector const& lits) {        
-        
+    }
+
+    void check_drup(sat::literal_vector const& lits) {        
         add_units();
         drup_units.reset();
         if (m_drat.is_drup(lits.size(), lits.data(), drup_units)) {
             std::cout << "drup\n";
             return;
         }
-        m_input_solver->push();
+        std::cout << "did not verify " << lits << "\n";
-//        for (auto lit : drup_units)
+        exit(0);
-//            m_input_solver->assert_expr(lit2expr(lit));
-        for (auto lit : lits)
-            m_input_solver->assert_expr(lit2expr(~lit));
-        lbool is_sat = m_input_solver->check_sat();
-        if (is_sat != l_false) {
-            std::cout << "did not verify: " << is_sat << " " << lits << "\n";
-            for (sat::literal lit : lits) 
-                std::cout << lit2expr(lit) << "\n";            
-            std::cout << "\n";
-            m_input_solver->display(std::cout);
-            if (is_sat == l_true) {
-                model_ref mdl;
-                m_input_solver->get_model(mdl);
-                std::cout << *mdl << "\n";
-            }
-                
-            exit(0);
-        }
-        m_input_solver->pop(1);
-        std::cout << "smt\n";
-        // check_assertion_redundant(lits);
     }
 
 public:
-    smt_checker(sat::drat& drat, expr_ref_vector const& b2e): 
+    drup_checker(sat::drat& drat): m_drat(drat) {}
-        m(b2e.m()), m_drat(drat), m_b2e(b2e), m_fresh_exprs(m), m_core(m), m_inputs(m) {
-        m_lemma_solver = mk_smt_solver(m, m_params, symbol());
-        m_input_solver = mk_smt_solver(m, m_params, symbol());
-    }
 
-    void add(sat::literal_vector const& lits, sat::status const& st, bool validated) {
+    void add(sat::literal_vector const& lits, sat::status const& st) {
         for (sat::literal lit : lits)
             while (lit.var() >= m_drat.get_solver().num_vars())
                 m_drat.get_solver().mk_var(true);
-        if (st.is_input() && m_check_inputs)
+        if (st.is_sat())
-            check_assertion_redundant(lits);
+            check_drup(lits);
-        else if (!st.is_sat() && !st.is_deleted() && !validated) 
+        m_drat.add(lits, st);
-            check_clause(lits);        
-        // m_drat.add(lits, st);
     }
+};
+
+unsigned read_drat(char const* drat_file) {
+    ast_manager m;
+    reg_decl_plugins(m);
+    std::ifstream ins(drat_file);
+    dimacs::drat_parser drat(ins, std::cerr);
+    
+    std::function<int(char const* r)> read_theory = [&](char const* r) {
+        return m.mk_family_id(symbol(r));
+    };
+    std::function<symbol(int)> write_theory = [&](int th) {
+        return m.get_family_name(th);
+    };
+    drat.set_read_theory(read_theory);
+    params_ref p;
+    reslimit lim;
+    sat::solver solver(p, lim);
+    sat::drat drat_checker(solver);
+    drup_checker checker(drat_checker);
+
+    for (auto const& r : drat) {
+        std::cout << dimacs::drat_pp(r, write_theory); 
+        std::cout.flush();
+        checker.add(r.m_lits, r.m_status);
+        if (drat_checker.inconsistent()) {
+            std::cout << "inconsistent\n";
+            return 0;
+        }     
+        statistics st;
+        drat_checker.collect_statistics(st);
+        std::cout << st << "\n";
+    }
+    return 0;
+}
+
+
+#if 0
 
     bool validate_hint(expr_ref_vector const& exprs, sat::literal_vector const& lits, sat::proof_hint const& hint) {
-        // return; // remove when testing this
         arith_util autil(m);
         arith::proof_checker achecker(m);
         proof_checker pc(m);
@@ -247,7 +191,6 @@ public:
                 std::cout << "p hint not verified\n";
                 return false;
             }
-
            
             std::cout << "p hint verified\n";
             return true;
@@ -260,291 +203,4 @@ public:
         return false;
     }
 
-    /**
+#endif
-    * Add an assertion from the source file
-    */
-    void add_assertion(expr* a) {
-        m_input_solver->assert_expr(a);
-    }
-
-    void display_input() {
-        scoped_ptr<solver> s = mk_smt_solver(m, m_params, symbol());
-        for (auto* e : m_inputs)
-            s->assert_expr(e);
-        s->display(std::cout);
-    }
-
-    symbol name;
-    unsigned_vector params;
-    ptr_vector<sort> sorts;
-
-    void parse_quantifier(sexpr_ref const& sexpr, cmd_context& ctx, quantifier_kind& k, sort_ref_vector& domain, svector<symbol>& names) {
-        k = quantifier_kind::forall_k;
-        symbol q;
-        unsigned sz;
-        if (sexpr->get_kind() != sexpr::kind_t::COMPOSITE)
-            goto bail;
-        sz = sexpr->get_num_children();
-        if (sz == 0)
-            goto bail;
-        q = sexpr->get_child(0)->get_symbol();
-        if (q == "forall")
-            k = quantifier_kind::forall_k;
-        else if (q == "exists")
-            k = quantifier_kind::exists_k;
-        else if (q == "lambda")            
-            k = quantifier_kind::lambda_k;
-        else
-            goto bail;
-        for (unsigned i = 1; i < sz; ++i) {
-            auto* e = sexpr->get_child(i);
-            if (e->get_kind() != sexpr::kind_t::COMPOSITE)
-                goto bail;
-            if (2 != e->get_num_children())
-                goto bail;
-            symbol name = e->get_child(0)->get_symbol();
-            std::ostringstream ostrm;
-            e->get_child(1)->display(ostrm);            
-            std::istringstream istrm(ostrm.str());
-            params_ref p;
-            auto srt = parse_smt2_sort(ctx, istrm, false, p, "quantifier");
-            if (!srt)
-                goto bail;
-            names.push_back(name);
-            domain.push_back(srt);            
-        }
-        return;
-    bail:
-        std::cout << "Could not parse expression\n";
-        sexpr->display(std::cout);
-        std::cout << "\n";
-        exit(0);        
-    }
-
-    void parse_sexpr(sexpr_ref const& sexpr, cmd_context& ctx, expr_ref_vector const& args, expr_ref& result) {
-        params.reset();
-        sorts.reset();
-        for (expr* arg : args) 
-            sorts.push_back(arg->get_sort());
-        sort_ref rng(m);
-        func_decl* f = nullptr;
-        switch (sexpr->get_kind()) {
-        case sexpr::kind_t::COMPOSITE: {
-            unsigned sz = sexpr->get_num_children();
-            if (sz == 0) 
-                goto bail;
-            if (sexpr->get_child(0)->get_symbol() == symbol("_")) {
-                name = sexpr->get_child(1)->get_symbol();
-                if (name == "bv" && sz == 4) {
-                    bv_util bvu(m);
-                    auto val = sexpr->get_child(2)->get_numeral();
-                    auto n   = sexpr->get_child(3)->get_numeral().get_unsigned();
-                    result = bvu.mk_numeral(val, n);
-                    return;
-                }
-                if (name == "is" && sz == 3) {
-                    name = sexpr->get_child(2)->get_child(0)->get_symbol();
-                    f = ctx.find_func_decl(name, params.size(), params.data(), args.size(), sorts.data(), rng.get());
-                    if (!f)
-                        goto bail;
-                    datatype_util dtu(m);
-                    result = dtu.mk_is(f, args[0]);
-                    return;
-                }
-                if (name == "Real" && sz == 4) {
-                    arith_util au(m);
-                    rational r = sexpr->get_child(2)->get_numeral();
-                    // rational den = sexpr->get_child(3)->get_numeral();
-                    result = au.mk_numeral(r, false);
-                    return;
-                }
-                if (name == "Int" && sz == 4) {
-                    arith_util au(m);
-                    rational num = sexpr->get_child(2)->get_numeral();
-                    result = au.mk_numeral(num, true);
-                    return;
-                }
-                if (name == "as-array" && sz == 3) {
-                    array_util au(m);
-                    auto const* ch2 = sexpr->get_child(2);
-                    switch (ch2->get_kind()) {
-                    case sexpr::kind_t::COMPOSITE:
-                        break;
-                    default:
-                        name = sexpr->get_child(2)->get_symbol();
-                        f = ctx.find_func_decl(name);
-                        if (f) {
-                            result = au.mk_as_array(f);
-                            return;
-                        }
-                    }
-                }
-                for (unsigned i = 2; i < sz; ++i) {
-                    auto* child = sexpr->get_child(i);
-                    if (child->is_numeral() && child->get_numeral().is_unsigned())
-                        params.push_back(child->get_numeral().get_unsigned());
-                    else 
-                        goto bail;                
-                }
-                break;
-            }
-            goto bail;
-        }
-        case sexpr::kind_t::SYMBOL:
-            name = sexpr->get_symbol();
-            break;
-        case sexpr::kind_t::BV_NUMERAL: {
-            goto bail;            
-        }
-        case sexpr::kind_t::STRING:
-        case sexpr::kind_t::KEYWORD:
-        case sexpr::kind_t::NUMERAL:
-        default:
-            goto bail;
-        }
-        f = ctx.find_func_decl(name, params.size(), params.data(), args.size(), sorts.data(), rng.get());
-        if (!f) 
-            goto bail;
-        result = ctx.m().mk_app(f, args);
-        return;
-    bail:
-        std::cout << "Could not parse expression\n";
-        sexpr->display(std::cout);
-        std::cout << "\n";
-        exit(0);        
-    }
-};
-
-static void verify_smt(char const* drat_file, char const* smt_file) {
-    cmd_context ctx;
-    ctx.set_ignore_check(true);
-    ctx.set_regular_stream(std::cerr);
-    ctx.set_solver_factory(mk_smt_strategic_solver_factory());    
-    if (smt_file) {
-        std::ifstream smt_in(smt_file);
-        if (!parse_smt2_commands(ctx, smt_in)) {            
-            std::cerr << "could not read file " << smt_file << "\n";
-            return;
-        }
-    }
-    
-    std::ifstream ins(drat_file);
-    dimacs::drat_parser drat(ins, std::cerr);
-    ast_manager& m = ctx.m();
-    std::function<int(char const* read_theory)> read_theory = [&](char const* r) {
-        return m.mk_family_id(symbol(r));
-    };
-    std::function<symbol(int)> write_theory = [&](int th) {
-        return m.get_family_name(th);
-    };
-    drat.set_read_theory(read_theory);
-    params_ref p;
-    reslimit lim;
-    p.set_bool("drat.check_unsat", true);
-    sat::solver solver(p, lim);
-    sat::drat drat_checker(solver);
-    drat_checker.updt_config();
-
-    expr_ref_vector bool_var2expr(m);
-    expr_ref_vector exprs(m), args(m), inputs(m);
-    sort_ref_vector sargs(m), sorts(m);
-    func_decl_ref_vector decls(m);
-
-    smt_checker checker(drat_checker, bool_var2expr);
-
-    for (expr* a : ctx.assertions())
-        checker.add_assertion(a);
-
-    for (auto const& r : drat) {
-        std::cout << dimacs::drat_pp(r, write_theory); 
-        std::cout.flush();
-        switch (r.m_tag) {
-        case dimacs::drat_record::tag_t::is_clause: {
-            bool validated = checker.validate_hint(exprs, r.m_lits, r.m_hint);
-            checker.add(r.m_lits, r.m_status, validated);
-            if (drat_checker.inconsistent()) {
-                std::cout << "inconsistent\n";
-                return;
-            }            
-            break;
-        }
-        case dimacs::drat_record::tag_t::is_node: {
-            expr_ref e(m);
-            args.reset();
-            for (auto n : r.m_args) 
-                args.push_back(exprs.get(n));
-            std::istringstream strm(r.m_name);
-            auto sexpr = parse_sexpr(ctx, strm, p, drat_file);
-            checker.parse_sexpr(sexpr, ctx, args, e);
-            exprs.reserve(r.m_node_id + 1);
-            exprs.set(r.m_node_id, e);
-            break;
-        }
-        case dimacs::drat_record::tag_t::is_var: {
-            var_ref e(m);
-            SASSERT(r.m_args.size() == 1);
-            std::istringstream strm(r.m_name);
-            auto srt = parse_smt2_sort(ctx, strm, false, p, drat_file);
-            e = m.mk_var(r.m_args[0], srt);
-            exprs.reserve(r.m_node_id + 1);
-            exprs.set(r.m_node_id, e);
-            break;
-        }
-        case dimacs::drat_record::tag_t::is_decl: {
-            std::istringstream strm(r.m_name);
-            ctx.set_allow_duplicate_declarations();
-            parse_smt2_commands(ctx, strm);
-            break;
-        }
-        case dimacs::drat_record::tag_t::is_sort: {
-            sort_ref srt(m);
-            symbol name = symbol(r.m_name.c_str());
-            sargs.reset();
-            for (auto n : r.m_args) 
-                sargs.push_back(sorts.get(n));
-            psort_decl* pd = ctx.find_psort_decl(name);
-            if (pd) 
-                srt = pd->instantiate(ctx.pm(), sargs.size(), sargs.data());
-            else 
-                srt = m.mk_uninterpreted_sort(name);
-            sorts.reserve(r.m_node_id + 1);
-            sorts.set(r.m_node_id, srt);
-            break;
-        }
-        case dimacs::drat_record::tag_t::is_quantifier: {
-            VERIFY(r.m_args.size() == 1);          
-            quantifier_ref q(m);      
-            std::istringstream strm(r.m_name);
-            auto sexpr = parse_sexpr(ctx, strm, p, drat_file);
-            sort_ref_vector domain(m);
-            svector<symbol> names;
-            quantifier_kind k;
-            checker.parse_quantifier(sexpr, ctx, k, domain, names);
-            q = m.mk_quantifier(k, domain.size(), domain.data(), names.data(), exprs.get(r.m_args[0]));
-            exprs.reserve(r.m_node_id + 1);
-            exprs.set(r.m_node_id, q);
-            break;
-        }
-        case dimacs::drat_record::tag_t::is_bool_def:
-            bool_var2expr.reserve(r.m_node_id + 1);
-            bool_var2expr.set(r.m_node_id, exprs.get(r.m_args[0]));
-            break;
-        default:
-            UNREACHABLE();
-            break;
-        }
-    }
-    statistics st;
-    drat_checker.collect_statistics(st);
-    std::cout << st << "\n";
-}
-
-
-unsigned read_drat(char const* drat_file, char const* problem_file) {
-    if (!problem_file) {
-        std::cerr << "No smt2 file provided to checker\n";
-        return -1;
-    }
-    verify_smt(drat_file, problem_file);
-    return 0;
-}

src/shell/drat_frontend.h

@@ -3,6 +3,6 @@ Copyright (c) 2011 Microsoft Corporation
 --*/
 #pragma once
 
-unsigned read_drat(char const * drat_file, char const* problem_file);
+unsigned read_drat(char const * drat_file);
 
 

src/shell/main.cpp

@@ -402,7 +402,7 @@ int STD_CALL main(int argc, char ** argv) {
             return_value = read_mps_file(g_input_file);
             break;
         case IN_DRAT:
-            return_value = read_drat(g_drat_input_file, g_input_file);
+            return_value = read_drat(g_drat_input_file);
             break;
         default:
             UNREACHABLE();

src/shell/smtlib_frontend.cpp

@@ -26,6 +26,7 @@ Revision History:
 #include "parsers/smt2/smt2parser.h"
 #include "muz/fp/dl_cmds.h"
 #include "cmd_context/extra_cmds/dbg_cmds.h"
+#include "cmd_context/proof_cmds.h"
 #include "opt/opt_cmds.h"
 #include "cmd_context/extra_cmds/polynomial_cmds.h"
 #include "cmd_context/extra_cmds/subpaving_cmds.h"
@@ -128,6 +129,7 @@ unsigned read_smtlib2_commands(char const * file_name) {
     install_subpaving_cmds(ctx);
     install_opt_cmds(ctx);
     install_smt2_extra_cmds(ctx);
+    install_proof_cmds(ctx);
 
     g_cmd_context = &ctx;
     signal(SIGINT, on_ctrl_c);