MAYBE
0.18/0.25	MAYBE
0.18/0.25	
0.18/0.25	Problem:
0.18/0.25	 active(from(X)) -> mark(cons(X,from(s(X))))
0.18/0.25	 active(2ndspos(0(),Z)) -> mark(rnil())
0.18/0.25	 active(2ndspos(s(N),cons(X,Z))) -> mark(2ndspos(s(N),cons2(X,Z)))
0.18/0.25	 active(2ndspos(s(N),cons2(X,cons(Y,Z)))) -> mark(rcons(posrecip(Y),2ndsneg(N,Z)))
0.18/0.25	 active(2ndsneg(0(),Z)) -> mark(rnil())
0.18/0.25	 active(2ndsneg(s(N),cons(X,Z))) -> mark(2ndsneg(s(N),cons2(X,Z)))
0.18/0.25	 active(2ndsneg(s(N),cons2(X,cons(Y,Z)))) -> mark(rcons(negrecip(Y),2ndspos(N,Z)))
0.18/0.25	 active(pi(X)) -> mark(2ndspos(X,from(0())))
0.18/0.25	 active(plus(0(),Y)) -> mark(Y)
0.18/0.25	 active(plus(s(X),Y)) -> mark(s(plus(X,Y)))
0.18/0.25	 active(times(0(),Y)) -> mark(0())
0.18/0.25	 active(times(s(X),Y)) -> mark(plus(Y,times(X,Y)))
0.18/0.25	 active(square(X)) -> mark(times(X,X))
0.18/0.25	 active(s(X)) -> s(active(X))
0.18/0.25	 active(posrecip(X)) -> posrecip(active(X))
0.18/0.25	 active(negrecip(X)) -> negrecip(active(X))
0.18/0.25	 active(cons(X1,X2)) -> cons(active(X1),X2)
0.18/0.25	 active(cons2(X1,X2)) -> cons2(X1,active(X2))
0.18/0.25	 active(rcons(X1,X2)) -> rcons(active(X1),X2)
0.18/0.25	 active(rcons(X1,X2)) -> rcons(X1,active(X2))
0.18/0.25	 active(from(X)) -> from(active(X))
0.18/0.25	 active(2ndspos(X1,X2)) -> 2ndspos(active(X1),X2)
0.18/0.25	 active(2ndspos(X1,X2)) -> 2ndspos(X1,active(X2))
0.18/0.25	 active(2ndsneg(X1,X2)) -> 2ndsneg(active(X1),X2)
0.18/0.25	 active(2ndsneg(X1,X2)) -> 2ndsneg(X1,active(X2))
0.18/0.25	 active(pi(X)) -> pi(active(X))
0.18/0.25	 active(plus(X1,X2)) -> plus(active(X1),X2)
0.18/0.25	 active(plus(X1,X2)) -> plus(X1,active(X2))
0.18/0.25	 active(times(X1,X2)) -> times(active(X1),X2)
0.18/0.25	 active(times(X1,X2)) -> times(X1,active(X2))
0.18/0.25	 active(square(X)) -> square(active(X))
0.18/0.25	 s(mark(X)) -> mark(s(X))
0.18/0.25	 posrecip(mark(X)) -> mark(posrecip(X))
0.18/0.25	 negrecip(mark(X)) -> mark(negrecip(X))
0.18/0.25	 cons(mark(X1),X2) -> mark(cons(X1,X2))
0.18/0.25	 cons2(X1,mark(X2)) -> mark(cons2(X1,X2))
0.18/0.25	 rcons(mark(X1),X2) -> mark(rcons(X1,X2))
0.18/0.25	 rcons(X1,mark(X2)) -> mark(rcons(X1,X2))
0.18/0.25	 from(mark(X)) -> mark(from(X))
0.18/0.25	 2ndspos(mark(X1),X2) -> mark(2ndspos(X1,X2))
0.18/0.25	 2ndspos(X1,mark(X2)) -> mark(2ndspos(X1,X2))
0.18/0.25	 2ndsneg(mark(X1),X2) -> mark(2ndsneg(X1,X2))
0.18/0.25	 2ndsneg(X1,mark(X2)) -> mark(2ndsneg(X1,X2))
0.18/0.25	 pi(mark(X)) -> mark(pi(X))
0.18/0.25	 plus(mark(X1),X2) -> mark(plus(X1,X2))
0.18/0.25	 plus(X1,mark(X2)) -> mark(plus(X1,X2))
0.18/0.25	 times(mark(X1),X2) -> mark(times(X1,X2))
0.18/0.25	 times(X1,mark(X2)) -> mark(times(X1,X2))
0.18/0.25	 square(mark(X)) -> mark(square(X))
0.18/0.25	 proper(0()) -> ok(0())
0.18/0.25	 proper(s(X)) -> s(proper(X))
0.18/0.25	 proper(posrecip(X)) -> posrecip(proper(X))
0.18/0.25	 proper(negrecip(X)) -> negrecip(proper(X))
0.18/0.25	 proper(nil()) -> ok(nil())
0.18/0.25	 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2))
0.18/0.25	 proper(cons2(X1,X2)) -> cons2(proper(X1),proper(X2))
0.18/0.25	 proper(rnil()) -> ok(rnil())
0.18/0.25	 proper(rcons(X1,X2)) -> rcons(proper(X1),proper(X2))
0.18/0.25	 proper(from(X)) -> from(proper(X))
0.18/0.25	 proper(2ndspos(X1,X2)) -> 2ndspos(proper(X1),proper(X2))
0.18/0.25	 proper(2ndsneg(X1,X2)) -> 2ndsneg(proper(X1),proper(X2))
0.18/0.25	 proper(pi(X)) -> pi(proper(X))
0.18/0.25	 proper(plus(X1,X2)) -> plus(proper(X1),proper(X2))
0.18/0.25	 proper(times(X1,X2)) -> times(proper(X1),proper(X2))
0.18/0.25	 proper(square(X)) -> square(proper(X))
0.18/0.25	 s(ok(X)) -> ok(s(X))
0.18/0.25	 posrecip(ok(X)) -> ok(posrecip(X))
0.18/0.25	 negrecip(ok(X)) -> ok(negrecip(X))
0.18/0.25	 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2))
0.18/0.25	 cons2(ok(X1),ok(X2)) -> ok(cons2(X1,X2))
0.18/0.25	 rcons(ok(X1),ok(X2)) -> ok(rcons(X1,X2))
0.18/0.25	 from(ok(X)) -> ok(from(X))
0.18/0.25	 2ndspos(ok(X1),ok(X2)) -> ok(2ndspos(X1,X2))
0.18/0.25	 2ndsneg(ok(X1),ok(X2)) -> ok(2ndsneg(X1,X2))
0.18/0.25	 pi(ok(X)) -> ok(pi(X))
0.18/0.25	 plus(ok(X1),ok(X2)) -> ok(plus(X1,X2))
0.18/0.25	 times(ok(X1),ok(X2)) -> ok(times(X1,X2))
0.18/0.25	 square(ok(X)) -> ok(square(X))
0.18/0.25	 top(mark(X)) -> top(proper(X))
0.18/0.25	 top(ok(X)) -> top(active(X))
0.18/0.25	
0.18/0.25	Proof:
0.18/0.25	 Open
0.18/0.26	EOF