diff --git a/llvm/lib/Analysis/ValueTracking.cpp b/llvm/lib/Analysis/ValueTracking.cpp
index f05ad66b87d5..33fb1e8cdc8a 100644
--- a/llvm/lib/Analysis/ValueTracking.cpp
+++ b/llvm/lib/Analysis/ValueTracking.cpp
@@ -429,6 +429,20 @@ void llvm::ComputeMaskedBits(Value *V, const APInt &Mask,
       KnownZero |= LHSKnownZero & Mask;
       KnownOne  |= LHSKnownOne & Mask;
     }
+
+    // Are we still trying to solve for the sign bit?
+    if (Mask.isNegative() && !KnownZero.isNegative() && !KnownOne.isNegative()){
+      OverflowingBinaryOperator *OBO = cast<OverflowingBinaryOperator>(I);
+      if (OBO->hasNoSignedWrap()) {
+        // Adding two positive numbers can't wrap into negative ...
+        if (LHSKnownZero.isNegative() && KnownZero2.isNegative())
+          KnownZero |= APInt::getSignBit(BitWidth);
+        // and adding two negative numbers can't wrap into positive.
+        else if (LHSKnownOne.isNegative() && KnownOne2.isNegative())
+          KnownOne |= APInt::getSignBit(BitWidth);
+      }
+    }
+
     return;
   }
   case Instruction::SRem:
diff --git a/llvm/test/Transforms/InstSimplify/compare.ll b/llvm/test/Transforms/InstSimplify/compare.ll
index b5146ee74074..75a36b499e37 100644
--- a/llvm/test/Transforms/InstSimplify/compare.ll
+++ b/llvm/test/Transforms/InstSimplify/compare.ll
@@ -261,6 +261,16 @@ define i1 @srem1(i32 %X) {
 ; CHECK: ret i1 false
 }
 
+; PR9343 #15
+; CHECK: @srem2
+; CHECK: ret i1 false
+define i1 @srem2(i16 %X, i32 %Y) {
+  %A = zext i16 %X to i32
+  %B = add nsw i32 %A, 1
+  %C = srem i32 %B, %Y
+  %D = icmp slt i32 %C, 0
+  ret i1 %D
+}
 define i1 @udiv1(i32 %X) {
 ; CHECK: @udiv1
   %A = udiv i32 %X, 1000000