Kotlin class equality fails

The following snippet shows the result of testing equality of Kotlin KClass references obtained from different sources. Their string representations are the same. But their java classes are different. Expected that c, c0 and c1 are equal. But for some reason they aren't.

Is there some nuance or it's a bug? If it's not a bug what is the reliable way to test equality of KClasses?

fun main(args: Array<String>) {
    val c = Int::class
    fun test(v0: Any, v1: Any) {
        val c0 = v0.javaClass.kotlin
        val c1 = v1.javaClass.kotlin
        println("c= $c;  c0= $c0;  c1= $c1") // c= class kotlin.Int;  c0= class kotlin.Int;  c1= class kotlin.Int
        println("c= ${c.java};  c0= ${c0.java};  c1= ${c1.java}") // c= int;  c0= class java.lang.Integer;  c1= class java.lang.Integer
        println("c = c0? ${c == c0};  c0 = c1? ${c1 == c0}") // c = c0? false;  c0 = c1? true
    }
    test(11, 22)
}

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EDIT:

The workaround is to use KClass.javaObjectType method.

The docs says:

Returns a Java Class instance corresponding to the given KClass instance. In case of primitive types it returns corresponding wrapper classes.

I.e. c.javaObjectType == c1.javaObjectType is true

But it doesn't justifies why KClasses having same string representation are different. At least it's confusing. And it's good idea to note about that in docs.