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diff --git a/test/regress/regress1/ho/ho-exponential-model.smt2 b/test/regress/regress1/ho/ho-exponential-model.smt2
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+++ b/test/regress/regress1/ho/ho-exponential-model.smt2
@@ -0,0 +1,40 @@
+; COMMAND-LINE: --uf-ho
+; EXPECT: sat
+(set-logic UFLIA)
+(set-info :status sat)
+(declare-fun f1 (Int Int Int Int) Int)
+(declare-fun f2 (Int Int Int) Int)
+(declare-fun f3 (Int Int) Int)
+(declare-fun f4 (Int) Int)
+(declare-fun f5 (Int Int Int) Int)
+(declare-fun f6 (Int Int) Int)
+(declare-fun f7 (Int) Int)
+
+
+(assert (= (f1 0) (f1 1)))
+(assert (= (f1 1) f2))
+
+(assert (= (f2 0) (f2 1)))
+(assert (= (f2 1) f3))
+
+(assert (= (f3 0) (f3 1)))
+(assert (= (f3 1) f4))
+
+(assert (= (f4 0) (f4 1)))
+(assert (= (f4 1) 2))
+
+
+(assert (= (f1 3) (f1 4)))
+(assert (= (f1 4) f5))
+
+(assert (= (f5 3) (f5 4)))
+(assert (= (f5 4) f6))
+
+(assert (= (f6 3) (f6 4)))
+(assert (= (f6 4) f7))
+
+(assert (= (f7 3) (f7 4)))
+(assert (= (f7 4) 5))
+
+; this benchmark has a concise model representation for f1 if we use curried (tree-like) models for UF
+(check-sat)