; Argmax 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 argmax equivalence
(assert (or
  (and 
    (> Y_0 Y_1)
		(> Y_3 Y_2)
  )
  (and 
    (> Y_1 Y_0)
		(> Y_2 Y_3)
  )
))