diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/InferPredicates.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/InferPredicates.java
index 36236c3db8dcc7..bafbc45cae39de 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/InferPredicates.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/InferPredicates.java
@@ -122,8 +122,8 @@ private Set<Expression> pullUpPredicates(Plan plan) {
 
     private Plan inferNewPredicate(Plan plan, Set<Expression> expressions) {
         Set<Expression> predicates = expressions.stream()
-                .filter(c -> !c.getInputSlots().isEmpty() && plan.getOutputSet().containsAll(
-                        c.getInputSlots())).collect(Collectors.toSet());
+                .filter(c -> !c.getInputSlots().isEmpty() && plan.getOutputSet().containsAll(c.getInputSlots()))
+                .collect(Collectors.toSet());
         predicates.removeAll(plan.accept(pollUpPredicates, null));
         return PlanUtils.filterOrSelf(predicates, plan);
     }
diff --git a/fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/PredicatePropagation.java b/fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/PredicatePropagation.java
index 5d11a1fa542c77..d1eba6cce36157 100644
--- a/fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/PredicatePropagation.java
+++ b/fe/fe-core/src/main/java/org/apache/doris/nereids/rules/rewrite/PredicatePropagation.java
@@ -95,7 +95,10 @@ public static Set<Expression> infer(Set<Expression> predicates) {
         slotPredicates.forEach((left, exprs) -> {
             for (Slot right : equalSet.calEqualSet(left)) {
                 for (Expression expr : exprs) {
-                    inferred.add(doInferPredicate(left, right, expr));
+                    Expression inferPredicate = doInferPredicate(left, right, expr);
+                    if (inferPredicate != null) {
+                        inferred.add(inferPredicate);
+                    }
                 }
             }
         });