A introduces water into the ice-house belonging to B and thus causes the ice to melt, intending wrongful loss the
B. Here, A has committed:

Cheating is the act of deceiving a person so as to make wrongful gains or cause the other person wrongful loss. Mischief is the act of destroying property so as to cause wrongful loss to any other person or the public in general. In Cheating, the objective of the offender is to enjoy the property and make wrongful gains by causing wrongful loss to a person. In Mischief, the objective of the offender is to cause wrongful loss or damage to the person(s) to whom the property belongs. The components of the crime of criminal trespass are as follows: enter into or upon property in the possession of another, intent to commit an offence, intimidate, injure, or annoy any person in possession, and so on.