; Strict Equivalence for Pendulum

; Constant declaration
(declare-const X_0 Real)
(declare-const X_1 Real)
(declare-const Y_0 Real)
(declare-const Y_1 Real)
(declare-const Y_2 Real)
(declare-const Y_3 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))

; Violation of strict equivalence
(assert (or
	(not (= Y_0 Y_2))
	(not (= Y_1 Y_3))
))