diff --git a/include/pysa/branching/branching.hpp b/include/pysa/branching/branching.hpp
index 7743d0b..e8a53c3 100644
--- a/include/pysa/branching/branching.hpp
+++ b/include/pysa/branching/branching.hpp
@@ -40,6 +40,10 @@ specific language governing permissions and limitations under the License.
 
 namespace pysa::branching {
 
+enum struct BranchResult{
+    BRANCHOK, // default exit status
+    BRANCHEXIT // terminate all threads
+};
 /**
  * @brief Split a collection of branches into two.
  * Branches is a container that supports efficient .front() and .pop_front()
@@ -96,7 +100,7 @@ void branching_impl(const Function &fn, Branches &branches,
 
     // Define core
     auto core_ = [fn = fn, &branches](std::size_t idx, auto &&stop) {
-      fn(branches[idx], stop);
+      return fn(branches[idx], stop);
     };
 
     // Initialize threads
@@ -133,12 +137,30 @@ void branching_impl(const Function &fn, Branches &branches,
       return std::tuple{min_, max_};
     };
 
+    bool exit_all = false;
     // Avoid a race condition where count_n_branches_() may be 0 temporarily at
     // start
     std::this_thread::sleep_for(sleep_time);
 
     // Keep going if there are still branches or the stop signal is off
     while (count_n_branches_() && !*stop) {
+      for (auto& t: threads_){
+        if(t.is_ready()){
+          if(t.get() == BranchResult::BRANCHEXIT){
+              exit_all = true;
+          }
+        }
+      }
+      if(exit_all){
+#ifndef NDEBUG
+        std::cerr << "# Brancher exit " << std::endl;
+#endif
+        for (auto& t: threads_){
+          if(t.is_running())
+            t.stop();
+        }
+        return;
+      }
       // Propagate branches between two threads
       if (const auto [ei_, ni_] = balance_indexes_(); ei_ && ni_) {
         const auto e_idx_ = ei_.value();
diff --git a/include/pysa/dpll/dpll.hpp b/include/pysa/dpll/dpll.hpp
index 882070e..547661b 100644
--- a/include/pysa/dpll/dpll.hpp
+++ b/include/pysa/dpll/dpll.hpp
@@ -23,8 +23,8 @@ specific language governing permissions and limitations under the License.
 
 namespace pysa::branching {
 
-template <bool depth_first = true, typename Branches, typename Collect>
-void DPLL_(Branches &&branches, Collect &&collect, ConstStopPtr stop) {
+template <bool depth_first = true, bool exit_on_first = false, typename Branches, typename Collect>
+BranchResult DPLL_(Branches &&branches, Collect &&collect, ConstStopPtr stop) {
   // While there are still branches ...
   while (std::size(branches) && !*stop) {
     // Get last branch (depth first)
@@ -45,11 +45,18 @@ void DPLL_(Branches &&branches, Collect &&collect, ConstStopPtr stop) {
       branches.splice(std::end(branches), branch_.branch());
 
     // Collect
-    collect(std::move(branch_));
+    if constexpr (exit_on_first){
+      if(collect(std::move(branch_))){
+        return BranchResult::BRANCHEXIT;
+      }
+    } else {
+      collect(std::move(branch_));
+    }
   }
+  return BranchResult::BRANCHOK;
 }
 
-template <bool depth_first = true, typename Branches, typename Collect,
+template <bool depth_first = true, bool exit_on_first = false, typename Branches, typename Collect,
           typename... Args>
 auto DPLL(Branches &&branches, Collect &&collect, Args &&...args) {
   /*
@@ -59,7 +66,7 @@ auto DPLL(Branches &&branches, Collect &&collect, Args &&...args) {
   // Get brancher
   return branching(
       [collect](auto &&branches, auto &&stop) {
-        DPLL_<depth_first>(branches, collect, stop);
+        return DPLL_<depth_first, exit_on_first>(branches, collect, stop);
       },
       std::forward<Branches>(branches), std::forward<Args>(args)...);
 }
diff --git a/tests/test_branching.cpp b/tests/test_branching.cpp
index 88d0744..0940f78 100644
--- a/tests/test_branching.cpp
+++ b/tests/test_branching.cpp
@@ -53,9 +53,10 @@ int main() {
   {
     // Use one thread
     pysa::branching::TestBranching(28, 1, true);
-
+    pysa::branching::TestBranching<true>(28, 1, true);
     // Use number of threads provided by the implementation
     pysa::branching::TestBranching(30, 0, true);
+    pysa::branching::TestBranching<true>(30, 0, true);
   }
 #ifdef USE_MPI
   MPI_Barrier(mpi_comm_world);
diff --git a/tests/test_branching.hpp b/tests/test_branching.hpp
index 5580f6d..14062fa 100644
--- a/tests/test_branching.hpp
+++ b/tests/test_branching.hpp
@@ -62,6 +62,7 @@ struct Branch {
 
 using Branches = std::list<Branch>;
 
+template<bool stop_on_first=false>
 void TestBranching(const std::size_t n, const std::size_t n_threads = 0,
                    const bool verbose = false) {
   // How to collect the branches
@@ -72,11 +73,14 @@ void TestBranching(const std::size_t n, const std::size_t n_threads = 0,
     if (CheckBranch(branch)) {
       const std::scoped_lock<std::mutex> lock_(mutex_);
       collected_.push_back(branch.state);
+      return true;
+    } else {
+      return false;
     }
   };
 
   // Get branches
-  auto brancher_ = DPLL(Branches{Branch{n, 0, 0}}, collect_, n_threads);
+  auto brancher_ = DPLL<true, stop_on_first>(Branches{Branch{n, 0, 0}}, collect_, n_threads);
 
   // Start brancher
   auto it_ = std::chrono::high_resolution_clock::now();
@@ -98,18 +102,20 @@ void TestBranching(const std::size_t n, const std::size_t n_threads = 0,
                      .count()
               << std::endl;
 
-  // Sort collected numbers
-  std::sort(std::begin(collected_), std::end(collected_));
+  if constexpr (!stop_on_first){
+    // Sort collected numbers
+    std::sort(std::begin(collected_), std::end(collected_));
 
-  // Get head
-  auto head_ = std::cbegin(collected_);
+    // Get head
+    auto head_ = std::cbegin(collected_);
 
-  // Check results
-  for (std::size_t i_ = 0, end_ = std::size_t{1} << n; i_ < end_; ++i_)
-    if (CheckBranch(Branch{n, i_, 0})) assert(*head_++ == i_);
+    // Check results
+    for (std::size_t i_ = 0, end_ = std::size_t{1} << n; i_ < end_; ++i_)
+      if (CheckBranch(Branch{n, i_, 0})) assert(*head_++ == i_);
 
-  // All numbers should have been checked at this point
-  assert(head_ == std::cend(collected_));
+    // All numbers should have been checked at this point
+    assert(head_ == std::cend(collected_));
+  }
 }
 
 #ifdef USE_MPI