4 files changed, 173 insertions, 0 deletions
diff --git a/examples/ACASXU/ACASXU_argmax.vnnlib b/examples/ACASXU/ACASXU_argmax.vnnlib
new file mode 100644
index 0000000..3009eef
--- /dev/null
+++ b/examples/ACASXU/ACASXU_argmax.vnnlib
@@ -0,0 +1,94 @@
+; Argmax Equivalence for ACASXU
+
+; Constant declaration
+(declare-const X_0 Real)
+(declare-const X_1 Real)
+(declare-const X_2 Real)
+(declare-const X_3 Real)
+(declare-const X_4 Real)
+(declare-const Y_0 Real)
+(declare-const Y_1 Real)
+(declare-const Y_2 Real)
+(declare-const Y_3 Real)
+(declare-const Y_4 Real)
+(declare-const Y_5 Real)
+(declare-const Y_6 Real)
+(declare-const Y_7 Real)
+(declare-const Y_8 Real)
+(declare-const Y_9 Real)
+
+; Bounded inputs: X must be within [0, 1]
+(assert (>= X_0 0.0))
+(assert (<= X_0 1.0))
+(assert (>= X_1 0.0))
+(assert (<= X_1 1.0))
+(assert (>= X_2 0.0))
+(assert (<= X_2 1.0))
+(assert (>= X_3 0.0))
+(assert (<= X_3 1.0))
+(assert (>= X_4 0.0))
+(assert (<= X_4 1.0))
+
+; Violation of argmax equivalence
+(assert (or
+  (and 
+    (> Y_0 Y_1)
+    (> Y_0 Y_2)
+    (> Y_0 Y_3)
+    (> Y_0 Y_4)
+    (or
+      (> Y_6 Y_5)
+      (> Y_7 Y_5)
+      (> Y_8 Y_5)
+      (> Y_9 Y_5)
+    )
+  )
+  (and 
+    (> Y_1 Y_0)
+    (> Y_1 Y_2)
+    (> Y_1 Y_3)
+    (> Y_1 Y_4)
+    (or
+      (> Y_5 Y_6)
+      (> Y_7 Y_6)
+      (> Y_8 Y_6)
+      (> Y_9 Y_6)
+    )
+  )
+  (and 
+    (> Y_2 Y_0)
+    (> Y_2 Y_1)
+    (> Y_2 Y_3)
+    (> Y_2 Y_4)
+    (or
+      (> Y_5 Y_7)
+      (> Y_6 Y_7)
+      (> Y_8 Y_7)
+      (> Y_9 Y_7)
+    )
+  )
+  (and 
+    (> Y_3 Y_0)
+    (> Y_3 Y_1)
+    (> Y_3 Y_2)
+    (> Y_3 Y_4)
+    (or
+      (> Y_5 Y_8)
+      (> Y_6 Y_8)
+      (> Y_7 Y_8)
+      (> Y_9 Y_8)
+    )
+  )
+  (and 
+    (> Y_4 Y_0)
+    (> Y_4 Y_1)
+    (> Y_4 Y_2)
+    (> Y_4 Y_3)
+    (or
+      (> Y_5 Y_9)
+      (> Y_6 Y_9)
+      (> Y_7 Y_9)
+      (> Y_8 Y_9)
+    )
+  )
+))
diff --git a/examples/ACASXU/ACASXU_epsilon.vnnlib b/examples/ACASXU/ACASXU_epsilon.vnnlib
new file mode 100644
index 0000000..0ca04f8
--- /dev/null
+++ b/examples/ACASXU/ACASXU_epsilon.vnnlib
@@ -0,0 +1,40 @@
+; Strict Equivalence for ACASXU
+
+; Constant declaration
+(declare-const X_0 Real)
+(declare-const X_1 Real)
+(declare-const X_2 Real)
+(declare-const X_3 Real)
+(declare-const X_4 Real)
+(declare-const Y_0 Real)
+(declare-const Y_1 Real)
+(declare-const Y_2 Real)
+(declare-const Y_3 Real)
+(declare-const Y_4 Real)
+(declare-const Y_5 Real)
+(declare-const Y_6 Real)
+(declare-const Y_7 Real)
+(declare-const Y_8 Real)
+(declare-const Y_9 Real)
+
+; Bounded inputs: X must be within [0, 1]
+(assert (>= X_0 0.0))
+(assert (<= X_0 1.0))
+(assert (>= X_1 0.0))
+(assert (<= X_1 1.0))
+(assert (>= X_2 0.0))
+(assert (<= X_2 1.0))
+(assert (>= X_3 0.0))
+(assert (<= X_3 1.0))
+(assert (>= X_4 0.0))
+(assert (<= X_4 1.0))
+
+; Violation of epsilon equivalence (epsilon = 0.1)
+(define-fun absolute ((x Real)) Real (if (>= x 0) x (- x)))
+(assert (or
+	(> (absolute (- Y_0 Y_5)) 0.1)
+	(> (absolute (- Y_1 Y_6)) 0.1)
+	(> (absolute (- Y_2 Y_7)) 0.1)
+	(> (absolute (- Y_3 Y_8)) 0.1)
+	(> (absolute (- Y_4 Y_9)) 0.1)
+))
diff --git a/examples/ACASXU/ACASXU_run2a_1_1_batch_2000.onnx b/examples/ACASXU/ACASXU_run2a_1_1_batch_2000.onnx
new file mode 100644
index 0000000..107622f
--- /dev/null
+++ b/examples/ACASXU/ACASXU_run2a_1_1_batch_2000.onnx
diff --git a/examples/ACASXU/ACASXU_strict.vnnlib b/examples/ACASXU/ACASXU_strict.vnnlib
new file mode 100644
index 0000000..1e5b8e2
--- /dev/null
+++ b/examples/ACASXU/ACASXU_strict.vnnlib
@@ -0,0 +1,39 @@
+; Strict Equivalence for ACASXU
+
+; Constant declaration
+(declare-const X_0 Real)
+(declare-const X_1 Real)
+(declare-const X_2 Real)
+(declare-const X_3 Real)
+(declare-const X_4 Real)
+(declare-const Y_0 Real)
+(declare-const Y_1 Real)
+(declare-const Y_2 Real)
+(declare-const Y_3 Real)
+(declare-const Y_4 Real)
+(declare-const Y_5 Real)
+(declare-const Y_6 Real)
+(declare-const Y_7 Real)
+(declare-const Y_8 Real)
+(declare-const Y_9 Real)
+
+; Bounded inputs: X must be within [0, 1]
+(assert (>= X_0 0.0))
+(assert (<= X_0 1.0))
+(assert (>= X_1 0.0))
+(assert (<= X_1 1.0))
+(assert (>= X_2 0.0))
+(assert (<= X_2 1.0))
+(assert (>= X_3 0.0))
+(assert (<= X_3 1.0))
+(assert (>= X_4 0.0))
+(assert (<= X_4 1.0))
+
+; Violation of strict equivalence
+(assert (or
+	(not (= Y_0 Y_5))
+	(not (= Y_1 Y_6))
+	(not (= Y_2 Y_7))
+	(not (= Y_3 Y_8))
+	(not (= Y_4 Y_9))
+))