MAYBE
0.08/0.18	MAYBE
0.08/0.19	
0.08/0.19	Problem:
0.08/0.19	 p(s(x)) -> x
0.08/0.19	 p(0()) -> 0()
0.08/0.19	 le(0(),y) -> true()
0.08/0.19	 le(s(x),0()) -> false()
0.08/0.19	 le(s(x),s(y)) -> le(x,y)
0.08/0.19	 average(x,y) -> if(le(x,0()),le(y,0()),le(y,s(0())),le(y,s(s(0()))),x,y)
0.08/0.19	 if(true(),b1,b2,b3,x,y) -> if2(b1,b2,b3,x,y)
0.08/0.19	 if(false(),b1,b2,b3,x,y) -> average(p(x),s(y))
0.08/0.19	 if2(true(),b2,b3,x,y) -> 0()
0.08/0.19	 if2(false(),b2,b3,x,y) -> if3(b2,b3,x,y)
0.08/0.19	 if3(true(),b3,x,y) -> 0()
0.08/0.19	 if3(false(),b3,x,y) -> if4(b3,x,y)
0.08/0.19	 if4(true(),x,y) -> s(0())
0.08/0.19	 if4(false(),x,y) -> average(s(x),p(p(y)))
0.08/0.19	
0.08/0.19	Proof:
0.08/0.19	 Open
0.08/0.19	EOF