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disequality-tests.scm
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(test "=/=-0"
(run* (q) (=/= 5 q))
'((_.0 (=/= ((_.0 5))))))
(test "=/=-1"
(run* (q)
(=/= 3 q)
(== q 3))
'())
(test "=/=-2"
(run* (q)
(== q 3)
(=/= 3 q))
'())
(test "=/=-3"
(run* (q)
(fresh (x y)
(=/= x y)
(== x y)))
'())
(test "=/=-4"
(run* (q)
(fresh (x y)
(== x y)
(=/= x y)))
'())
(test "=/=-5"
(run* (q)
(fresh (x y)
(=/= x y)
(== 3 x)
(== 3 y)))
'())
(test "=/=-6"
(run* (q)
(fresh (x y)
(== 3 x)
(=/= x y)
(== 3 y)))
'())
(test "=/=-7"
(run* (q)
(fresh (x y)
(== 3 x)
(== 3 y)
(=/= x y)))
'())
(test "=/=-8"
(run* (q)
(fresh (x y)
(== 3 x)
(== 3 y)
(=/= y x)))
'())
(test "=/=-9"
(run* (q)
(fresh (x y z)
(== x y)
(== y z)
(=/= x 4)
(== z (+ 2 2))))
'())
(test "=/=-10"
(run* (q)
(fresh (x y z)
(== x y)
(== y z)
(== z (+ 2 2))
(=/= x 4)))
'())
(test "=/=-11"
(run* (q)
(fresh (x y z)
(=/= x 4)
(== y z)
(== x y)
(== z (+ 2 2))))
'())
(test "=/=-12"
(run* (q)
(fresh (x y z)
(=/= x y)
(== x `(0 ,z 1))
(== y `(0 1 1))))
'(_.0))
(test "=/=-13"
(run* (q)
(fresh (x y z)
(=/= x y)
(== x `(0 ,z 1))
(== y `(0 1 1))
(== z 1)
(== `(,x ,y) q)))
'())
(test "=/=-14"
(run* (q)
(fresh (x y z)
(=/= x y)
(== x `(0 ,z 1))
(== y `(0 1 1))
(== z 0)))
'(_.0))
(test "=/=-15"
(run* (q)
(fresh (x y z)
(== z 0)
(=/= x y)
(== x `(0 ,z 1))
(== y `(0 1 1))))
'(_.0))
(test "=/=-16"
(run* (q)
(fresh (x y z)
(== x `(0 ,z 1))
(== y `(0 1 1))
(=/= x y)))
'(_.0))
(test "=/=-17"
(run* (q)
(fresh (x y z)
(== z 1)
(=/= x y)
(== x `(0 ,z 1))
(== y `(0 1 1))))
'())
(test "=/=-18"
(run* (q)
(fresh (x y z)
(== z 1)
(== x `(0 ,z 1))
(== y `(0 1 1))
(=/= x y)))
'())
(test "=/=-19"
(run* (q)
(fresh (x y)
(=/= `(,x 1) `(2 ,y))
(== x 2)))
'(_.0))
(test "=/=-20"
(run* (q)
(fresh (x y)
(=/= `(,x 1) `(2 ,y))
(== y 1)))
'(_.0))
(test "=/=-21"
(run* (q)
(fresh (x y)
(=/= `(,x 1) `(2 ,y))
(== x 2)
(== y 1)))
'())
(test "=/=-22"
(run* (q)
(fresh (x y)
(=/= `(,x 1) `(2 ,y))
(== `(,x ,y) q)))
'(((_.0 _.1) (=/= ((_.0 2) (_.1 1))))))
(test "=/=-23"
(run* (q)
(fresh (x y)
(=/= `(,x 1) `(2 ,y))
(== x 2)
(== `(,x ,y) q)))
'(((2 _.0) (=/= ((_.0 1))))))
(test "=/=-24"
(run* (q)
(fresh (x y)
(=/= `(,x 1) `(2 ,y))
(== x 2)
(== y 9)
(== `(,x ,y) q)))
'((2 9)))
(test "=/=-24b"
(run* (q)
(fresh (a d)
(== `(,a . ,d) q)
(=/= q `(5 . 6))
(== a 5)
(== d 6)))
'())
(test "=/=-25"
(run* (q)
(fresh (x y)
(=/= `(,x 1) `(2 ,y))
(== x 2)
(== y 1)
(== `(,x ,y) q)))
'())
(test "=/=-26"
(run* (q)
(fresh (a x z)
(=/= a `(,x 1))
(== a `(,z 1))
(== x z)))
'())
(test "=/=-27"
(run* (q)
(fresh (a x z)
(=/= a `(,x 1))
(== a `(,z 1))
(== x 5)
(== `(,x ,z) q)))
'(((5 _.0) (=/= ((_.0 5))))))
(test "=/=-28"
(run* (q)
(=/= 3 4))
'(_.0))
(test "=/=-29"
(run* (q)
(=/= 3 3))
'())
(test "=/=-30"
(run* (q) (=/= 5 q)
(=/= 6 q)
(== q 5))
'())
(test "=/=-31"
(run* (q)
(fresh (a d)
(== `(,a . ,d) q)
(=/= q `(5 . 6))
(== a 5)))
'(((5 . _.0) (=/= ((_.0 6))))))
(test "=/=-32"
(run* (q)
(fresh (a)
(== 3 a)
(=/= a 4)))
'(_.0))
(test "=/=-33"
(run* (q)
(=/= 4 q)
(=/= 3 q))
'((_.0 (=/= ((_.0 3)) ((_.0 4))))))
(test "=/=-34"
(run* (q) (=/= q 5) (=/= q 5))
'((_.0 (=/= ((_.0 5))))))
(test "=/=-35"
(let ((foo (lambda (x)
(fresh (a)
(=/= x a)))))
(run* (q) (fresh (a) (foo a))))
'(_.0))
(test "=/=-36"
(let ((foo (lambda (x)
(fresh (a)
(=/= x a)))))
(run* (q) (fresh (b) (foo b))))
'(_.0))
(test "=/=-37"
(run* (q)
(fresh (x y)
(== `(,x ,y) q)
(=/= x y)))
'(((_.0 _.1) (=/= ((_.0 _.1))))))
(test "=/=-37b"
(run* (q)
(fresh (a d)
(== `(,a . ,d) q)
(=/= q `(5 . 6))))
'(((_.0 . _.1) (=/= ((_.0 5) (_.1 6))))))
(test "=/=-37c"
(run* (q)
(fresh (a d)
(== `(,a . ,d) q)
(=/= q `(5 . 6))
(== a 3)))
'((3 . _.0)))
(test "=/=-38"
(run* (q)
(fresh (x y)
(== `(,x ,y) q)
(=/= y x)))
'(((_.0 _.1) (=/= ((_.0 _.1))))))
(test "=/=-39"
(run* (q)
(fresh (x y)
(== `(,x ,y) q)
(=/= x y)
(=/= y x)))
'(((_.0 _.1) (=/= ((_.0 _.1))))))
(test "=/=-40"
(run* (q)
(fresh (x y)
(== `(,x ,y) q)
(=/= x y)
(=/= x y)))
'(((_.0 _.1) (=/= ((_.0 _.1))))))
(test "=/=-41"
(run* (q) (=/= q 5) (=/= 5 q))
'((_.0 (=/= ((_.0 5))))))
(test "=/=-42"
(run* (q)
(fresh (x y)
(== `(,x ,y) q)
(=/= `(,x ,y) `(5 6))
(=/= x 5)))
'(((_.0 _.1) (=/= ((_.0 5))))))
(test "=/=-43"
(run* (q)
(fresh (x y)
(== `(,x ,y) q)
(=/= x 5)
(=/= `(,x ,y) `(5 6))))
'(((_.0 _.1) (=/= ((_.0 5))))))
(test "=/=-44"
(run* (q)
(fresh (x y)
(=/= x 5)
(=/= `(,x ,y) `(5 6))
(== `(,x ,y) q)))
'(((_.0 _.1) (=/= ((_.0 5))))))
(test "=/=-45"
(run* (q)
(fresh (x y)
(=/= 5 x)
(=/= `(,x ,y) `(5 6))
(== `(,x ,y) q)))
'(((_.0 _.1) (=/= ((_.0 5))))))
(test "=/=-46"
(run* (q)
(fresh (x y)
(=/= 5 x)
(=/= `( ,y ,x) `(6 5))
(== `(,x ,y) q)))
'(((_.0 _.1) (=/= ((_.0 5))))))
(test "=/=-47"
(run* (x)
(fresh (y z)
(=/= x `(,y 2))
(== x `(,z 2))))
'((_.0 2)))
(test "=/=-48"
(run* (x)
(fresh (y z)
(=/= x `(,y 2))
(== x `((,z) 2))))
'(((_.0) 2)))
(test "=/=-49"
(run* (x)
(fresh (y z)
(=/= x `((,y) 2))
(== x `(,z 2))))
'((_.0 2)))
(define distincto
(lambda (l)
(conde
((== l '()))
((fresh (a) (== l `(,a))))
((fresh (a ad dd)
(== l `(,a ,ad . ,dd))
(=/= a ad)
(distincto `(,a . ,dd))
(distincto `(,ad . ,dd)))))))
(test "=/=-50"
(run* (q)
(distincto `(2 3 ,q)))
'((_.0 (=/= ((_.0 2)) ((_.0 3))))))
(define rembero
(lambda (x ls out)
(conde
((== '() ls) (== '() out))
((fresh (a d res)
(== `(,a . ,d) ls)
(rembero x d res)
(conde
((== a x) (== out res))
((== `(,a . ,res) out))))))))
(test "=/=-51"
(run* (q) (rembero 'a '(a b a c) q))
'((b c) (b a c) (a b c) (a b a c)))
(test "=/=-52"
(run* (q) (rembero 'a '(a b c) '(a b c)))
'(_.0))
(define rembero
(lambda (x ls out)
(conde
((== '() ls) (== '() out))
((fresh (a d res)
(== `(,a . ,d) ls)
(rembero x d res)
(conde
((== a x) (== out res))
((=/= a x) (== `(,a . ,res) out))))))))
(test "=/=-53"
(run* (q) (rembero 'a '(a b a c) q))
'((b c)))
(test "=/=-54"
(run* (q) (rembero 'a '(a b c) '(a b c)))
'())
(test "=/=-55"
(run 1 (q) (=/= q #f))
'((_.0 (=/= ((_.0 #f))))))
(test "non watch-var pair implies satisfied"
(run 1 (a b c d)
(=/= (cons a c)
(cons b d))
(== c '(1 . 2))
(== d '(1 . 3)))
'((_.0 _.1 (1 . 2) (1 . 3))))
(test "null, pair, and atomic types order correctly in =/= reification"
(run 1 (q)
(=/= q '())
(=/= q '(foo))
(=/= q 5))
'((_.0 (=/= ((_.0 5))
((_.0 ()))
((_.0 (foo)))))))