; Argmax 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 argmax equivalence
(assert (not (= (> Y_0 0.5) (> Y_1 0.5))))