MAYBE
0.18/0.21	MAYBE
0.18/0.21	
0.18/0.21	Problem:
0.18/0.21	 g(s(x),s(y)) ->
0.18/0.21	 if(and(f(s(x)),f(s(y))),t(g(k(minus(m(x,y),n(x,y)),s(s(0()))),k(n(s(x),s(y)),s(s(0()))))),
0.18/0.21	    g(minus(m(x,y),n(x,y)),n(s(x),s(y))))
0.18/0.21	 n(0(),y) -> 0()
0.18/0.21	 n(x,0()) -> 0()
0.18/0.21	 n(s(x),s(y)) -> s(n(x,y))
0.18/0.21	 m(0(),y) -> y
0.18/0.21	 m(x,0()) -> x
0.18/0.21	 m(s(x),s(y)) -> s(m(x,y))
0.18/0.21	 k(0(),s(y)) -> 0()
0.18/0.21	 k(s(x),s(y)) -> s(k(minus(x,y),s(y)))
0.18/0.21	 t(x) -> p(x,x)
0.18/0.21	 p(s(x),s(y)) -> s(s(p(if(gt(x,y),x,y),if(not(gt(x,y)),id(x),id(y)))))
0.18/0.21	 p(s(x),x) -> p(if(gt(x,x),id(x),id(x)),s(x))
0.18/0.21	 p(0(),y) -> y
0.18/0.21	 p(id(x),s(y)) -> s(p(x,if(gt(s(y),y),y,s(y))))
0.18/0.21	 minus(x,0()) -> x
0.18/0.21	 minus(s(x),s(y)) -> minus(x,y)
0.18/0.21	 id(x) -> x
0.18/0.21	 if(true(),x,y) -> x
0.18/0.21	 if(false(),x,y) -> y
0.18/0.21	 not(x) -> if(x,false(),true())
0.18/0.21	 and(x,false()) -> false()
0.18/0.21	 and(true(),true()) -> true()
0.18/0.21	 f(0()) -> true()
0.18/0.21	 f(s(x)) -> h(x)
0.18/0.21	 h(0()) -> false()
0.18/0.21	 h(s(x)) -> f(x)
0.18/0.21	 gt(s(x),0()) -> true()
0.18/0.21	 gt(0(),y) -> false()
0.18/0.21	 gt(s(x),s(y)) -> gt(x,y)
0.18/0.21	
0.18/0.21	Proof:
0.18/0.21	 Open
0.18/0.21	EOF