; EXPECT: unsat
; COMMAND-LINE: --lang=sygus2 --sygus-out=status --nl-ext-tplanes
(set-logic NIA)

(synth-fun max ((x Int) (y Int)) Int
  ((Start Int) (StartBool Bool))
  ((Start Int (0 1 x y
               (+ Start Start)
               (- 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 x)))
(constraint (>= (max x y) (* y y)))

(check-synth)