diff --git a/intTests/test_unint_extcore/test.sh b/intTests/test_unint_extcore/test.sh
new file mode 100644
index 0000000000..df3d54c231
--- /dev/null
+++ b/intTests/test_unint_extcore/test.sh
@@ -0,0 +1,3 @@
+#!/bin/sh
+set -xe
+$SAW test_unint.saw
diff --git a/intTests/test_unint_extcore/test_unint.saw b/intTests/test_unint_extcore/test_unint.saw
new file mode 100644
index 0000000000..4c24bf79a0
--- /dev/null
+++ b/intTests/test_unint_extcore/test_unint.saw
@@ -0,0 +1,9 @@
+import "unint.cry";
+
+fails (prove_print (w4_unint_yices ["g"]) {{ \x -> f x > 0 }});
+
+write_core "unint.core" {{ \x -> f x > 0 }};
+
+prop <- read_core "unint.core";
+
+fails (prove_print (w4_unint_yices ["g"]) {{ \x -> prop x }});
\ No newline at end of file
diff --git a/intTests/test_unint_extcore/unint.cry b/intTests/test_unint_extcore/unint.cry
new file mode 100644
index 0000000000..17d57386b7
--- /dev/null
+++ b/intTests/test_unint_extcore/unint.cry
@@ -0,0 +1,5 @@
+f : [32] -> [32]
+f x = g x + 1
+
+g : [32] -> [32]
+g x = 0
\ No newline at end of file
diff --git a/src/SAWScript/Builtins.hs b/src/SAWScript/Builtins.hs
index 08ffc0ace0..0b37971544 100644
--- a/src/SAWScript/Builtins.hs
+++ b/src/SAWScript/Builtins.hs
@@ -464,22 +464,18 @@ printGoalSize =
 resolveNames :: [String] -> TopLevel (Set VarIndex)
 resolveNames nms =
   do sc <- getSharedContext
-     Set.fromList <$> mapM (resolveName sc) nms
-
--- | Given a user-provided name, resolve it to some
---   'ExtCns' that represents an unfoldable 'Constant'
---   value or a fresh uninterpreted constant.
---
---   We first attempt to find the name in the local Cryptol
---   environment; if the name is found, attempt to resolve it to
---   an 'ExtCns' in the SAWCore environment.  If the given name
---   does not resolve to a cryptol value in the current environment that
---  maps to an 'ExtCns', then instead directly look it up
---  in the SAWCore naming environment.  If both stages
---  fail, then throw an exception.
-resolveName :: SharedContext -> String -> TopLevel VarIndex
+     Set.fromList . mconcat <$> mapM (resolveName sc) nms
+
+-- | Given a user-provided name, resolve it to (potentially several)
+-- 'ExtCns' that each represent an unfoldable 'Constant' value or a
+-- fresh uninterpreted constant.
+-- The given name is searched for in both the local Cryptol environment
+-- and the SAWCore naming environment. If it is found in neither, an
+-- exception is thrown.
+resolveName :: SharedContext -> String -> TopLevel [VarIndex]
 resolveName sc nm =
   do cenv <- rwCryptol <$> getTopLevelRW
+     scnms <- fmap fst <$> io (scResolveName sc tnm)
      let ?fileReader = StrictBS.readFile
      res <- io $ CEnv.resolveIdentifier cenv tnm
      case res of
@@ -489,14 +485,13 @@ resolveName sc nm =
               ImportedName uri _ ->
                 do resolvedName <- io $ scResolveNameByURI sc uri
                    case resolvedName of
-                     Just vi -> pure vi
-                     Nothing -> fallback
-              _ -> fallback
-       Nothing -> fallback
+                     Just vi -> pure $ vi:scnms
+                     Nothing -> pure scnms
+              _ -> pure scnms
+       Nothing -> pure scnms
 
  where
  tnm = Text.pack nm
- fallback = fst <$> io (scResolveUnambiguous sc tnm)
 
 
 normalize_term :: TypedTerm -> TopLevel TypedTerm
@@ -506,7 +501,7 @@ normalize_term_opaque :: [String] -> TypedTerm -> TopLevel TypedTerm
 normalize_term_opaque opaque tt =
   do sc <- getSharedContext
      modmap <- io (scGetModuleMap sc)
-     idxs <- mapM (resolveName sc) opaque
+     idxs <- mconcat <$> mapM (resolveName sc) opaque
      let opaqueSet = Set.fromList idxs
      tm' <- io (TM.normalizeSharedTerm sc modmap mempty mempty opaqueSet (ttTerm tt))
      pure tt{ ttTerm = tm' }
@@ -557,11 +552,11 @@ extract_uninterp ::
   TopLevel (TypedTerm, [(String,[(TypedTerm,TypedTerm)])])
 extract_uninterp unints opaques tt =
   do sc <- getSharedContext
-     idxs <- mapM (resolveName sc) unints
+     idxs <- mconcat <$> mapM (resolveName sc) unints
      let unintSet = Set.fromList idxs
      mmap <- io (scGetModuleMap sc)
 
-     opaqueSet <- Set.fromList <$> mapM (resolveName sc) opaques
+     opaqueSet <- Set.fromList . mconcat <$> mapM (resolveName sc) opaques
 
      boundECRef <- io (newIORef Set.empty)
      let ?recordEC = \ec -> modifyIORef boundECRef (Set.insert ec)
@@ -1036,7 +1031,7 @@ rewritePrim ss (TypedTerm schema t) = do
 unfold_term :: [String] -> TypedTerm -> TopLevel TypedTerm
 unfold_term unints (TypedTerm schema t) = do
   sc <- getSharedContext
-  unints' <- mapM (resolveName sc) unints
+  unints' <- mconcat <$> mapM (resolveName sc) unints
   t' <- io $ scUnfoldConstants sc unints' t
   return (TypedTerm schema t')