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-rw-r--r--xor/xor_epsilon.vnnlib12
1 files changed, 12 insertions, 0 deletions
diff --git a/xor/xor_epsilon.vnnlib b/xor/xor_epsilon.vnnlib
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+(declare-const X_0 Real)
+(declare-const X_1 Real)
+(declare-const Y_0 Real)
+(declare-const Y_1 Real)
+
+; Discrete inputs: X must be 0 or 1
+(assert (or (= X_0 0) (= X_0 1)))
+(assert (or (= X_1 0) (= X_1 1)))
+
+; Violation of epsilon equivalence (epsilon = 0.1)
+(define-fun absolute ((x Real)) Real (if (>= x 0) x (- x)))
+(assert (> (absolute (- Y_0 Y_1)) 0.1))