diff --git a/sledge/src/llair/exp.ml b/sledge/src/llair/exp.ml
index 6d65c07eb..6ed64bb11 100644
--- a/sledge/src/llair/exp.ml
+++ b/sledge/src/llair/exp.ml
@@ -491,6 +491,7 @@ module Var = struct
 
     let pp vs = Set.pp pp_t vs
     let empty = Set.empty (module T)
+    let of_list = Set.of_list (module T)
     let of_vector = Set.of_vector (module T)
   end
 
diff --git a/sledge/src/llair/exp.mli b/sledge/src/llair/exp.mli
index 9f602a890..2345f8c6f 100644
--- a/sledge/src/llair/exp.mli
+++ b/sledge/src/llair/exp.mli
@@ -97,6 +97,7 @@ module Var : sig
 
     val pp : t pp
     val empty : t
+    val of_list : var list -> t
     val of_vector : var vector -> t
   end
 
diff --git a/sledge/src/symbheap/solver_test.ml b/sledge/src/symbheap/solver_test.ml
new file mode 100644
index 000000000..110037612
--- /dev/null
+++ b/sledge/src/symbheap/solver_test.ml
@@ -0,0 +1,133 @@
+(*
+ * Copyright (c) 2019-present, Facebook, Inc.
+ *
+ * This source code is licensed under the MIT license found in the
+ * LICENSE file in the root directory of this source tree.
+ *)
+
+let%test_module _ =
+  ( module struct
+    (* let () = Trace.init ~margin:160 ~config:all () *)
+
+    let () =
+      Trace.init ~margin:68
+        ~config:(Result.ok_exn (Trace.parse "+Solver.infer_frame"))
+        ()
+
+    let check_frame p xs q =
+      Solver.infer_frame p (Var.Set.of_list xs) q
+      |> fun r -> assert (Option.is_some r)
+
+    let ( ! ) i = Exp.integer (Z.of_int i) Typ.siz
+    let ( + ) = Exp.add Typ.ptr
+    let wrt = Var.Set.empty
+    let a_, wrt = Var.fresh "a" ~wrt
+    let a2_, wrt = Var.fresh "a" ~wrt
+    let a3_, wrt = Var.fresh "a" ~wrt
+    let b_, wrt = Var.fresh "b" ~wrt
+    let l_, wrt = Var.fresh "l" ~wrt
+    let l2_, wrt = Var.fresh "l" ~wrt
+    let m_, wrt = Var.fresh "m" ~wrt
+    let n_, _ = Var.fresh "n" ~wrt
+    let a = Exp.var a_
+    let a2 = Exp.var a2_
+    let a3 = Exp.var a3_
+    let b = Exp.var b_
+    let l = Exp.var l_
+    let l2 = Exp.var l2_
+    let m = Exp.var m_
+    let n = Exp.var n_
+
+    let%expect_test _ =
+      check_frame Sh.emp [] Sh.emp ;
+      [%expect
+        {|
+        ( infer_frame: emp \- emp
+        ) infer_frame: emp |}]
+
+    let%expect_test _ =
+      check_frame (Sh.false_ Var.Set.empty) [] Sh.emp ;
+      [%expect
+        {|
+        ( infer_frame: emp * false \- emp
+        ) infer_frame: emp * false |}]
+
+    let%expect_test _ =
+      check_frame
+        (Sh.seg {loc= l; bas= b; len= m; siz= n; arr= a})
+        [] Sh.emp ;
+      [%expect
+        {|
+        ( infer_frame:   %l_5 -[ %b_4, %m_7 )-> ⟨%n_8,%a_1⟩ \- emp
+        ) infer_frame:   %l_5 -[ %b_4, %m_7 )-> ⟨%n_8,%a_1⟩ |}]
+
+    let%expect_test _ =
+      check_frame
+        (Sh.seg {loc= l; bas= b; len= m; siz= n; arr= a})
+        []
+        (Sh.seg {loc= l; bas= b; len= m; siz= n; arr= a}) ;
+      [%expect
+        {|
+        ( infer_frame:
+            %l_5 -[ %b_4, %m_7 )-> ⟨%n_8,%a_1⟩
+          \-   %l_5 -[ %b_4, %m_7 )-> ⟨%n_8,%a_1⟩
+        ) infer_frame: emp |}]
+
+    let%expect_test _ =
+      check_frame
+        (Sh.star
+           (Sh.seg {loc= l; bas= b; len= m; siz= n; arr= a})
+           (Sh.seg {loc= l2; bas= b; len= m; siz= n; arr= a2}))
+        []
+        (Sh.seg {loc= l; bas= b; len= m; siz= n; arr= a}) ;
+      [%expect
+        {|
+        ( infer_frame:
+            %l_5 -[ %b_4, %m_7 )-> ⟨%n_8,%a_1⟩
+          * %l_6 -[ %b_4, %m_7 )-> ⟨%n_8,%a_2⟩
+          \-   %l_5 -[ %b_4, %m_7 )-> ⟨%n_8,%a_1⟩
+        ) infer_frame:   %l_6 -[ %b_4, %m_7 )-> ⟨%n_8,%a_2⟩ |}]
+
+    let%expect_test _ =
+      check_frame
+        (Sh.star
+           (Sh.seg {loc= l; bas= l; len= !16; siz= !8; arr= a})
+           (Sh.seg {loc= l + !8; bas= l; len= !16; siz= !8; arr= a2}))
+        [a3_]
+        (Sh.seg {loc= l; bas= l; len= !16; siz= !16; arr= a3}) ;
+      [%expect
+        {|
+        ( infer_frame:
+            (%l_5 + 8) -[ %l_5, 16 )-> ⟨8,%a_2⟩
+          * %l_5 -[ %l_5, 16 )-> ⟨8,%a_1⟩
+          \- ∃ %a_3 .
+              %l_5 -[)-> ⟨16,%a_3⟩
+        ) infer_frame:
+          ∃  .
+          ∃ %a1_6 .
+            ⟨16,%a_3⟩ = ⟨8,%a_1⟩^⟨8,%a1_6⟩
+          ∧ %a_2 = %a1_6
+          ∧ emp |}]
+
+    let%expect_test _ =
+      check_frame
+        (Sh.star
+           (Sh.seg {loc= l; bas= l; len= !16; siz= !8; arr= a})
+           (Sh.seg {loc= l + !8; bas= l; len= !16; siz= !8; arr= a2}))
+        [a3_; m_]
+        (Sh.seg {loc= l; bas= l; len= m; siz= !16; arr= a3}) ;
+      [%expect
+        {|
+        ( infer_frame:
+            (%l_5 + 8) -[ %l_5, 16 )-> ⟨8,%a_2⟩
+          * %l_5 -[ %l_5, 16 )-> ⟨8,%a_1⟩
+          \- ∃ %a_3, %m_7 .
+              %l_5 -[ %l_5, %m_7 )-> ⟨16,%a_3⟩
+        ) infer_frame:
+          ∃  .
+          ∃ %a1_8 .
+            ⟨16,%a_3⟩ = ⟨8,%a_1⟩^⟨8,%a1_8⟩
+          ∧ %a_2 = %a1_8
+          ∧ 16 = %m_7
+          ∧ emp |}]
+  end )