The key part that you are conveniently overlooking: "but in science, something is not called a theory until it has been confirmed over the course of many independent experiments"
"Law:A scientific principle that invariably holds true under specific conditions, for instance, the law of magnetism states that likemagnetic poles repel one another, while opposite poles attract." Inadequate definition. Laws can be said to be universal or relational.
"Theories explain an observed fact." <---Contrary to the requirement of demostration.
"There is the fact of evolution and the Theory that explains it." <---just because your science teacher's favorite textbook says it is a fact doesn't make it so. A lot of tripe has been put into textbooks.
"Laws are generally able to be stated in terms of mathematics and do not vary under SPECIFIC conditions." Universal laws do not vary under any conditions. Relational laws do not vary under SPECIFIC conditions.
"Laws are generally able to be stated in terms of mathematics" <---incorrect; too much importance placed upon math (deductive reasoing); not enough importance placed upon inductive reasoning and the highest form or reasoning; most scientific laws have nothing to do at all with mathematics.
"the real problem is that the Darwinists are mentally superficial people "
The real problem is creationists misinterpret the Bible.
Nevertheless, the Theory of Evolution explains the fact of evolution. I am not going to quibble about definitions with you.
A Theory is not just a guess. You cannot say "it only a theory" when it comes to science.