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; Epsilon Equivalence for XOR
; Constant declaration
(declare-const X_0 Real)
(declare-const X_1 Real)
(declare-const Y_0 Real)
(declare-const Y_1 Real)
; Bounded 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))
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