diff --git a/src/halmos/sevm.py b/src/halmos/sevm.py
index 8c86756a..dc12753f 100644
--- a/src/halmos/sevm.py
+++ b/src/halmos/sevm.py
@@ -24,6 +24,7 @@
     BitVec,
     BitVecRef,
     BoolVal,
+    CheckSatResult,
     Concat,
     Extract,
     Function,
@@ -995,9 +996,18 @@ def dump(self, print_mem=False) -> str:
     def advance_pc(self) -> None:
         self.pc = self.pgm.next_pc(self.pc)
 
-    def check(self, cond: Any) -> Any:
-        cond = simplify(cond)
+    def quick_custom_check(self, cond: BitVecRef) -> CheckSatResult | None:
+        """
+        Quick custom checker for specific known patterns.
 
+        This method checks for certain common conditions that can be evaluated
+        quickly without invoking the full SMT solver.
+
+        Returns:
+            sat if the condition is satisfiable
+            unsat if the condition is unsatisfiable
+            None if the condition requires full SMT solving
+        """
         if is_true(cond):
             return sat
 
@@ -1008,6 +1018,13 @@ def check(self, cond: Any) -> Any:
         if match_dynamic_array_overflow_condition(cond):
             return unsat
 
+    def check(self, cond: Any) -> Any:
+        cond = simplify(cond)
+
+        # use quick custom checker for common patterns before falling back to SMT solver
+        if result := self.quick_custom_check(cond):
+            return result
+
         return self.path.check(cond)
 
     def select(
diff --git a/src/halmos/utils.py b/src/halmos/utils.py
index 43e037c3..54a54dbf 100644
--- a/src/halmos/utils.py
+++ b/src/halmos/utils.py
@@ -381,15 +381,10 @@ def match_dynamic_array_overflow_condition(cond: BitVecRef) -> bool:
     # Not(ULE(f_sha3_256(slot), offset + base))
     if not (left.decl().name() == "f_sha3_256" and is_app_of(right, Z3_OP_BADD)):
         return False
-    slot = left.arg(0)
     offset, base = right.arg(0), right.arg(1)
 
-    # Not(ULE(f_sha3_256(slot), offset + f_sha3_256(slot)))
-    if not (base.decl().name() == "f_sha3_256" and eq(base.arg(0), slot)):
-        return False
-
-    # offset < 2**64
-    return is_bv_value(offset) and offset.as_long() < 2**64
+    # Not(ULE(f_sha3_256(slot), offset + f_sha3_256(slot))) and offset < 2**64
+    return eq(left, base) and is_bv_value(offset) and offset.as_long() < 2**64
 
 
 def stripped(hexstring: str) -> str:
diff --git a/tests/test_utils.py b/tests/test_utils.py
new file mode 100644
index 00000000..e986eeec
--- /dev/null
+++ b/tests/test_utils.py
@@ -0,0 +1,56 @@
+from z3 import (
+    ULE,
+    BitVec,
+    BitVecSort,
+    BitVecVal,
+    Function,
+    Not,
+    simplify,
+)
+
+from halmos.utils import match_dynamic_array_overflow_condition
+
+
+def test_match_dynamic_array_overflow_condition():
+    # Create Z3 objects
+    f_sha3_256 = Function("f_sha3_256", BitVecSort(256), BitVecSort(256))
+    slot = BitVec("slot", 256)
+    offset = BitVecVal(1000, 256)  # Less than 2**64
+
+    # Test the function
+    cond = Not(ULE(f_sha3_256(slot), offset + f_sha3_256(slot)))
+    assert match_dynamic_array_overflow_condition(cond)
+
+    # Test with opposite order of addition
+    opposite_order_cond = Not(ULE(f_sha3_256(slot), f_sha3_256(slot) + offset))
+    assert not match_dynamic_array_overflow_condition(opposite_order_cond)
+
+    # Test with opposite order after simplification
+    simplified_opposite_order_cond = simplify(
+        Not(ULE(f_sha3_256(slot), f_sha3_256(slot) + offset))
+    )
+    assert match_dynamic_array_overflow_condition(simplified_opposite_order_cond)
+
+    # Test with offset = 2**64 - 1 (should match)
+    max_valid_offset = BitVecVal(2**64 - 1, 256)
+    max_valid_cond = Not(ULE(f_sha3_256(slot), max_valid_offset + f_sha3_256(slot)))
+    assert match_dynamic_array_overflow_condition(max_valid_cond)
+
+    # Test with offset >= 2**64
+    large_offset = BitVecVal(2**64, 256)
+    large_offset_cond = Not(ULE(f_sha3_256(slot), large_offset + f_sha3_256(slot)))
+    assert not match_dynamic_array_overflow_condition(large_offset_cond)
+
+    # Test with a different function
+    different_func = Function("different_func", BitVecSort(256), BitVecSort(256))
+    non_matching_cond = Not(ULE(different_func(slot), offset + different_func(slot)))
+    assert not match_dynamic_array_overflow_condition(non_matching_cond)
+
+    # Test with just ULE, not Not(ULE(...))
+    ule_only = ULE(f_sha3_256(slot), offset + f_sha3_256(slot))
+    assert not match_dynamic_array_overflow_condition(ule_only)
+
+    # Test with mismatched slots
+    slot2 = BitVec("slot2", 256)
+    mismatched_slots = Not(ULE(f_sha3_256(slot), offset + f_sha3_256(slot2)))
+    assert not match_dynamic_array_overflow_condition(mismatched_slots)