aboutsummaryrefslogtreecommitdiff
path: root/examples/ACASXU/ACASXU_epsilon.vnnlib
diff options
context:
space:
mode:
Diffstat (limited to 'examples/ACASXU/ACASXU_epsilon.vnnlib')
-rw-r--r--examples/ACASXU/ACASXU_epsilon.vnnlib40
1 files changed, 40 insertions, 0 deletions
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)
+))