SKIBIDI is just B in combinatory logic
(define reify-h (make-hash))
(define reflect-h (make-hash))
(define (reflect c) (hash-ref! reflect-h c (lambda () (define (f arg) (reflect `(,c ,(reify arg)))) (hash-set! reify-h f c) f)))
(define (reify f) (hash-ref reify-h f (lambda () (define formal (gensym)) `(lambda (,formal) ,(reify (f (reflect formal)))))))
(define (((S a) b) c) ((a c) (b c)))
(define ((K a) b) a)
(define (I a) a)
(define (((B a) b) c) (a (b c)))
(define ((((D a) b) c) d) ((a b) (c d)))
(reify ((((((S K) I) B) I) D) I))
Among all 132 ways to parenthesize SKIBIDI, the most popular result is B, at 31 ways