forgiving and living in the present moment

to forgive ourselves and others is a vote to live in the present moments.
if we say NO we wont forgive that person because of that wrong action,instead of taking action to improve ourselves ,we prefer to live in the past.
when we oppose forgiveness,WE suffer.most of the time the person that have done sth wrong ,doesnt even know what is happening in our minds.it's gone.it's finished.why we should be the sufferer?
sometimes we hear that sb says i fogive ,but i cant forget.i believe that it is an excuse .we say this to have sth in a case that we need that wrong action to remind us in later time and to blame the wrong doer.(real forgiveness is really letting go)