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(set-logic QF_UFLIA)
(set-info :status unsat)
;; don't use a datatypes for currently focusing in uf
(declare-sort list 0)
(declare-fun cons (Int list) list)
(declare-fun nil () list)
;;define length
(declare-fun length (list) Int)
(assert (= (length nil) 0))
(declare-fun one_cons (list) list)
(assert (= (length (cons 1 nil)) (+ 1 (length nil))))
(assert (= (one_cons nil) (cons 1 nil)))
(assert (not (= (length (one_cons nil)) 1)))
(check-sat)
(exit)
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