add stubs for arithmetic

src/sat/smt/arith_axioms.cpp

@@ -0,0 +1,34 @@
+/*++
+Copyright (c) 2020 Microsoft Corporation
+
+Module Name:
+
+    arith_axioms.cpp
+
+Abstract:
+
+    Theory plugin for arithmetic
+
+Author:
+
+    Nikolaj Bjorner (nbjorner) 2020-09-08
+
+--*/
+#pragma once
+
+#include "sat/smt/euf_solver.h"
+#include "sat/smt/arith_solver.h"
+
+
+namespace arith {
+
+    // q = 0 or q * (p div q) = p
+    void solver::mk_div_axiom(expr* p, expr* q) {
+        if (a.is_zero(q)) return;
+        literal eqz = eq_internalize(q, a.mk_real(0));
+        literal eq  = eq_internalize(a.mk_mul(q, a.mk_div(p, q)), p);
+        add_clause(eqz, eq);
+    }
+
+
+}