It seems incredible that he would cut his own children out of his will.
He never intended to cut his son out of his will.
She threatened to cut him out of her will.
It turned out he hadn't cut her out of his will, but rather had forgotten to update his will after she was born to include her as a beneficiary.
Later that year, she instructed her lawyer to cut all three children out of her will.
See also: cut verb (REMOVE)