Desecrate Reality

If you copy a spell that has an adamant ability, no mana was spent to cast the copy at all, so that ability won't apply.

If a card has {X} in its mana cost, X is zero when it's in any zone but the stack.

If an effect allows you to cast a spell without paying its mana cost, you can't choose to cast it and pay unless another rule or effect allows you to cast that spell for a cost. Similarly, you can't waive a cost reduction unless that effect says you may.