MAYBE
0.09/0.18	MAYBE
0.09/0.20	
0.09/0.20	Problem:
0.09/0.20	 minus(x,0()) -> x
0.09/0.20	 minus(s(x),s(y)) -> minus(x,y)
0.09/0.20	 quot(0(),s(y)) -> 0()
0.09/0.20	 quot(s(x),s(y)) -> s(quot(minus(x,y),s(y)))
0.09/0.20	 minus(minus(x,y),z) -> minus(x,plus(y,z))
0.09/0.20	 plus(s(x),s(y)) -> s(s(plus(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y)))))
0.09/0.20	 plus(s(x),x) -> plus(if(gt(x,x),id(x),id(x)),s(x))
0.09/0.20	 plus(zero(),y) -> y
0.09/0.20	 plus(id(x),s(y)) -> s(plus(x,if(gt(s(y),y),y,s(y))))
0.09/0.20	 id(x) -> x
0.09/0.20	 if(true(),x,y) -> x
0.09/0.20	 if(false(),x,y) -> y
0.09/0.20	 not(x) -> if(x,false(),true())
0.09/0.20	 gt(s(x),zero()) -> true()
0.09/0.20	 gt(zero(),y) -> false()
0.09/0.20	 gt(s(x),s(y)) -> gt(x,y)
0.09/0.20	
0.09/0.20	Proof:
0.09/0.20	 Open
0.09/0.20	EOF