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cvc5-cvc5-1.2.0.src.theory.builtin.rewrites Maven / Gradle / Ivy

; ITE

(define-rule ite-true-cond ((x ?) (y ?)) (ite true x y) x)
(define-rule ite-false-cond ((x ?) (y ?)) (ite false x y) y)
(define-rule ite-not-cond ((c Bool) (x ?) (y ?)) (ite (not c) x y) (ite c y x))
(define-rule ite-eq-branch ((c Bool) (x ?)) (ite c x x) x)

(define-rule ite-then-lookahead ((c Bool) (x ?) (y ?) (z ?)) (ite c (ite c x y) z) (ite c x z))
(define-rule ite-else-lookahead ((c Bool) (x ?) (y ?) (z ?)) (ite c x (ite c y z)) (ite c x z))
(define-rule ite-then-neg-lookahead ((c Bool) (x ?) (y ?) (z ?)) (ite c (ite (not c) x y) z) (ite c y z))
(define-rule ite-else-neg-lookahead ((c Bool) (x ?) (y ?) (z ?)) (ite c x (ite (not c) y z)) (ite c x y))