I want to prevent Kotlin class method invocation as compilation error

Because you do not want to invoke C.test(), C should not implement IHoge in the first place.I will try to answer if I can or can't implement IHoge below.

1. If you can change the IHoge implementation

In this case, I think it is appropriate to separate the interfaces.

interfaceIHoge{
  fun test()
}

interface IFuga {
  // Non-test() methods in the original IHoge
}

class A —IHoge, IFuga
class B —IHoge, IFuga
class C —IFuga

2. If you cannot change the IHoge implementation

In this case, you may be asked to use the default implementation of the interface, so we define IPartial with a method other than test() and "merge" IHoge and IPartial in the new class D.
In addition, C does not inherit D directly, but deligate to avoid becoming a subclass of IHoge.

interfaceIHoge{
    fun f() = println("f()")
    fun test() = println("test()"
}

interface IPartial {
    funf();
}

open class D:IHoge,IPartial {
    override funf() = super<IHoge>.f();
}

class A —D()
class B —D()

class C(p:IPartial=D())—IPartial by p {
}

funmain(){
    val1 = mutableListOf<IHoge>(A(),B())
    // l1.add(C(A()))//<--- Compilation Error
    l1.forEach {it.test()}

    val2 = mutableListOf<IPartial>(A(), B(), C());
    l2.forEach {it.f()}
}

test()
test()
f( )
f( )
f( )

It is different from the original usage, but Deprecated annotation is available.

level and DeprecationLevel.ERROR can result in compilation errors.

One caveat is that if you call the test() method via IHoge, you will not be able to detect it even if the actual instance is C.

interfaceIHoge{
    fun test()
}

class A:IHoge {
    override funtest(){}
}

class C:IHoge {
    @Deprecated(message="unavailable method", level=DeprecationLevel.ERROR)
    override funtest(){}
}

funmain(args:Array<String>){
    valc = C()
    c.test()// Compilation Error

    vali —IHoge=C()
    i.test()// No compilation errors
}

That's right.

However, as far as I can read the questionnaire, I feel that the design is wrong, just like other people's answers (so I think the design should be reviewed).