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#lang rosette
(define (check-not-contradict prop pre xs)
(assert (and (prop xs) (pre xs) (> (length xs) 1))))
(define (check-spec-first prop pre spec xs)
(assume (and (prop xs) (pre xs)))
(assert (prop (car (spec xs)))))
(define (check-spec-last prop pre spec xs)
(assume (and (prop xs) (pre xs)))
(assert (prop (car (spec xs)))))
(define (check-spec-nth prop pre spec xs n)
(assume (and (prop xs) (pre xs)))
(assert (prop (car (spec xs n)))))
(define (check prop pres specs xs n)
(cond
[(or (unsat? (solve (check-not-contradict prop (first pres) xs)))
(unsat? (solve (check-not-contradict prop (second pres) xs)))
(unsat? (solve (check-not-contradict prop (third pres) xs)))
) #f]
[else (and (unsat? (verify (check-spec-first prop (first pres) (first specs) xs)))
(unsat? (verify (check-spec-last prop (second pres) (second specs) xs)))
(unsat? (verify (check-spec-nth prop (third pres) (third specs) xs n)))
)]))
(provide check)
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