; EXPECT: unsat
; COMMAND-LINE: --cegqi-si=all --sygus-out=status
(set-logic LIA)

(synth-fun max ((x Int) (y Int)) Int
  ((Start Int (0 1 x y
               (+ Start Start)
               (- Start Start)
               (ite StartBool Start Start)))
   (StartBool Bool ((and StartBool StartBool)
                    (not StartBool)
                    (<= Start Start)))))

;(synth-fun min ((x Int) (y Int)) Int
;  ((Start Int ((Constant Int) (Variable Int)
;               (+ Start Start)
;               (- Start Start)
;               (ite StartBool Start Start)))
;   (StartBool Bool ((and StartBool StartBool)
;                    (not StartBool)
;                    (<= Start Start)))))

(declare-var x Int)
(declare-var y Int)

(constraint (>= (max x y) x))
(constraint (>= (max x y) y))
(constraint (or (= x (max x y))
                (= y (max x y))))
;(constraint (= (+ (max x y) (min x y))
;               (+ x y)))

(check-synth)