An extrodinarily paradoxical problem or situation that seemingly makes no rhyme or reason; a dilemma of epic proportions, usually answered with a shrug of the shoulders, or verbalization of the phrase "uhhhhhhhhhhhhhhhhh".
1. "Why are we in Iraq?" "Uhhhhhhhhhh, its a conundrufuck". 2. I'd explain the rules of Cricket, but it's still a conundrufuck to me.