remove set cardinality operators from array theory. Make final-check use priority levels

Issue #7502 shows that running nlsat eagerly during final check can block quantifier instantiation.
To give space for quantifier instances we introduce two levels for final check such that nlsat is only applied in the second and final level.

src/math/lp/nla_core.cpp

@@ -1282,7 +1282,7 @@ void core::add_bounds() {
     }    
 }
 
-lbool core::check() {
+lbool core::check(unsigned level) {
     lp_settings().stats().m_nla_calls++;
     TRACE(nla_solver, tout << "calls = " << lp_settings().stats().m_nla_calls << "\n";);
     lra.get_rid_of_inf_eps();
@@ -1363,7 +1363,7 @@ lbool core::check() {
             ret = bounded_nlsat();
     }
 
-    if (no_effect() && params().arith_nl_nra()) {
+    if (no_effect() && params().arith_nl_nra() && level >= 2) {
         scoped_limits sl(m_reslim);
         sl.push_child(&m_nra_lim);
         params_ref p;
@@ -1432,7 +1432,7 @@ bool core::no_lemmas_hold() const {
     
 lbool core::test_check() {
     lra.set_status(lp::lp_status::OPTIMAL);
-    return check();
+    return check(2);
 }
 
 std::unordered_set<lpvar> core::get_vars_of_expr_with_opening_terms(const nex *e ) {

src/math/lp/nla_core.h

@@ -394,7 +394,7 @@ public:
 
     bool  conflict_found() const;
     
-    lbool check();
+    lbool check(unsigned level);
     lbool check_power(lpvar r, lpvar x, lpvar y);
     void check_bounded_divisions();
 

src/math/lp/nla_solver.cpp

@@ -46,8 +46,8 @@ namespace nla {
     
     bool solver::need_check() { return m_core->has_relevant_monomial(); }
     
-    lbool solver::check() {
-        return m_core->check();
+    lbool solver::check(unsigned level) {
+        return m_core->check(level);
     }
 
     void solver::propagate() {

src/math/lp/nla_solver.h

@@ -37,7 +37,7 @@ namespace nla {
         void push();
         void pop(unsigned scopes);
         bool need_check();
-        lbool check();
+        lbool check(unsigned level);
         void propagate();
         void simplify() { m_core->simplify(); }
         lbool check_power(lpvar r, lpvar x, lpvar y);