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; EXPECT: unsat
; COMMAND-LINE: --sygus-out=status --nl-ext-tplanes
(set-logic NIA)
(synth-fun max ((x Int) (y Int)) Int
((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)
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