MAYBE
0.08/0.19	MAYBE
0.08/0.19	
0.08/0.19	Problem:
0.08/0.19	 0(#()) -> #()
0.08/0.19	 +(x,#()) -> x
0.08/0.19	 +(#(),x) -> x
0.08/0.19	 +(0(x),0(y)) -> 0(+(x,y))
0.08/0.19	 +(0(x),1(y)) -> 1(+(x,y))
0.08/0.19	 +(1(x),0(y)) -> 1(+(x,y))
0.08/0.19	 +(1(x),1(y)) -> 0(+(+(x,y),1(#())))
0.08/0.19	 +(+(x,y),z) -> +(x,+(y,z))
0.08/0.19	 *(#(),x) -> #()
0.08/0.19	 *(0(x),y) -> 0(*(x,y))
0.08/0.19	 *(1(x),y) -> +(0(*(x,y)),y)
0.08/0.19	 *(*(x,y),z) -> *(x,*(y,z))
0.08/0.19	 *(x,+(y,z)) -> +(*(x,y),*(x,z))
0.08/0.19	 app(nil(),l) -> l
0.08/0.19	 app(cons(x,l1),l2) -> cons(x,app(l1,l2))
0.08/0.19	 sum(nil()) -> 0(#())
0.08/0.19	 sum(cons(x,l)) -> +(x,sum(l))
0.08/0.19	 sum(app(l1,l2)) -> +(sum(l1),sum(l2))
0.08/0.19	 prod(nil()) -> 1(#())
0.08/0.19	 prod(cons(x,l)) -> *(x,prod(l))
0.08/0.19	 prod(app(l1,l2)) -> *(prod(l1),prod(l2))
0.08/0.19	
0.08/0.19	Proof:
0.08/0.19	 Open
0.08/0.19	EOF