Energy is a property that is affected by mass.
I REMIND YOU E=MC2 you can weight the matter before and after and then we do a little thing to it ..... here is an image of converting a few grams
So we lost some mass we got a massive release of energy ... so how do you propose that energy is simply a property of matter?
Let be more blunt and give you a science history lesson in 1919 Ernest Rutherford preformed the first successful atomic transmutation when he converted nitrogen gas into oxygen by bombarding it with alpha particles.
http://en.wikipedia.org/wiki/Nuclear_transmutationAs I said classic physics may struggle with energy because it is a nebulous concept in classic physics BUT we know classic physics is wrong we have known that since 1905.
Quantum mechanics and nuclear physics are not so nebulous energy is very real and very measurable and you can create thousands if not millions of experiments to confirm it.
For young students we make a particle-in-a-box version which simplifies the situation to a manageable level
http://en.wikipedia.org/wiki/Particle_in_a_boxThe key point to the model is
The particle in a box model provides one of the very few problems in quantum mechanics which can be solved analytically, without approximations. This means that the observable properties of the particle (such as its energy and position) are related to the mass of the particle and the width of the well by simple mathematical expressions. Due to its simplicity, the model allows insight into quantum effects without the need for complicated mathematics. It is one of the first quantum mechanics problems taught in undergraduate physics courses, and it is commonly used as an approximation for more complicated quantum systems.
So let me be clear because we do it routinely you can show energy is real and you can measure it .... energy is most definitely not just a property of matter.
If it isn't real that doesn't mean that mass isn't.
Again total garbage try to get the particle in a box model to have negative energy you can't because there is no parameter that can go negative so the result can only ever be positive.
So if you have negative energy in a mass you have something that doesn't exist in our physical world.
Btw there is no clear answer to this question, it's like asking is there a God? So why are you asking it?
See because your answer is totally wrong on every level and it tells me what level of science you have attained. What I know is you have only ever been taught classic physics at a school level and haven't yet been told that it is all semi-wrong they just teach it to keep things simple enough for you to understand.
So be careful claiming science can't answer questions until you ask because your level of science is not high enough to make that claim.