diff --git a/src/api/api_ast.cpp b/src/api/api_ast.cpp
index 424398be06f..604e00f7fcb 100644
--- a/src/api/api_ast.cpp
+++ b/src/api/api_ast.cpp
@@ -202,7 +202,7 @@ extern "C" {
         func_decl* d = mk_c(c)->m().mk_fresh_func_decl(prefix,
                                                        domain_size,
                                                        reinterpret_cast<sort*const*>(domain),
-                                                       to_sort(range));
+                                                       to_sort(range), false);
 
         mk_c(c)->save_ast_trail(d);
         RETURN_Z3(of_func_decl(d));
@@ -216,7 +216,7 @@ extern "C" {
         if (prefix == nullptr) {
             prefix = "";
         }
-        app* a = mk_c(c)->m().mk_fresh_const(prefix, to_sort(ty));
+        app* a = mk_c(c)->m().mk_fresh_const(prefix, to_sort(ty), false);
         mk_c(c)->save_ast_trail(a);
         RETURN_Z3(of_ast(a));
         Z3_CATCH_RETURN(nullptr);
diff --git a/src/ast/ast.cpp b/src/ast/ast.cpp
index 6908589d4cb..53e7c5dd9dd 100644
--- a/src/ast/ast.cpp
+++ b/src/ast/ast.cpp
@@ -2346,10 +2346,10 @@ app * ast_manager::mk_app(func_decl * decl, unsigned num_args, expr * const * ar
 
 
 func_decl * ast_manager::mk_fresh_func_decl(symbol const & prefix, symbol const & suffix, unsigned arity,
-                                            sort * const * domain, sort * range) {
+                                            sort * const * domain, sort * range, bool skolem) {
     func_decl_info info(null_family_id, null_decl_kind);
-    info.m_skolem = true;
-    SASSERT(info.is_skolem());
+    info.m_skolem = skolem;
+    SASSERT(skolem == info.is_skolem());
     func_decl * d;
     if (prefix == symbol::null && suffix == symbol::null) {
         d = mk_func_decl(symbol(m_fresh_id), arity, domain, range, &info);
@@ -2368,7 +2368,7 @@ func_decl * ast_manager::mk_fresh_func_decl(symbol const & prefix, symbol const
     }
     m_fresh_id++;
     SASSERT(d->get_info());
-    SASSERT(d->is_skolem());
+    SASSERT(skolem == d->is_skolem());
     return d;
 }
 
diff --git a/src/ast/ast.h b/src/ast/ast.h
index 0a7d5aa6ab6..0ea8b7e9472 100644
--- a/src/ast/ast.h
+++ b/src/ast/ast.h
@@ -1921,20 +1921,24 @@ class ast_manager {
     }
 
     func_decl * mk_fresh_func_decl(symbol const & prefix, symbol const & suffix, unsigned arity,
-                                   sort * const * domain, sort * range);
+                                   sort * const * domain, sort * range, bool skolem = true);
 
-    func_decl * mk_fresh_func_decl(unsigned arity, sort * const * domain, sort * range) { return mk_fresh_func_decl(symbol::null, symbol::null, arity, domain, range); }
+    func_decl * mk_fresh_func_decl(unsigned arity, sort * const * domain, sort * range, bool skolem = true) { 
+        return mk_fresh_func_decl(symbol::null, symbol::null, arity, domain, range, skolem); 
+    }
 
     func_decl * mk_fresh_func_decl(char const * prefix, char const * suffix, unsigned arity,
-                                   sort * const * domain, sort * range) {
-        return mk_fresh_func_decl(symbol(prefix), symbol(suffix), arity, domain, range);
+                                   sort * const * domain, sort * range, bool skolem = true) {
+        return mk_fresh_func_decl(symbol(prefix), symbol(suffix), arity, domain, range, skolem);
     }
 
-    func_decl * mk_fresh_func_decl(char const * prefix, unsigned arity, sort * const * domain, sort * range) {
-        return mk_fresh_func_decl(symbol(prefix), symbol::null, arity, domain, range);
+    func_decl * mk_fresh_func_decl(char const * prefix, unsigned arity, sort * const * domain, sort * range, bool skolem = true) {
+        return mk_fresh_func_decl(symbol(prefix), symbol::null, arity, domain, range, skolem);
     }
 
-    app * mk_fresh_const(char const * prefix, sort * s) { return mk_const(mk_fresh_func_decl(prefix, 0, nullptr, s)); }
+    app * mk_fresh_const(char const * prefix, sort * s, bool skolem = true) { 
+        return mk_const(mk_fresh_func_decl(prefix, 0, nullptr, s, skolem)); 
+    }
 
     symbol mk_fresh_var_name(char const * prefix = nullptr);