MAYBE MAYBE TRS: { mark(2nd(X)) -> active(2nd(mark(X))), mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(from(X)) -> active(from(mark(X))), mark(s(X)) -> active(s(mark(X))), active(2nd(cons(X, cons(Y, Z)))) -> mark(Y), active(from(X)) -> mark(cons(X, from(s(X)))), 2nd(mark(X)) -> 2nd(X), 2nd(active(X)) -> 2nd(X), cons(X1, mark(X2)) -> cons(X1, X2), cons(X1, active(X2)) -> cons(X1, X2), cons(mark(X1), X2) -> cons(X1, X2), cons(active(X1), X2) -> cons(X1, X2), from(mark(X)) -> from(X), from(active(X)) -> from(X), s(mark(X)) -> s(X), s(active(X)) -> s(X) } DUP: We consider a duplicating system. Trs: { mark(2nd(X)) -> active(2nd(mark(X))), mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(from(X)) -> active(from(mark(X))), mark(s(X)) -> active(s(mark(X))), active(2nd(cons(X, cons(Y, Z)))) -> mark(Y), active(from(X)) -> mark(cons(X, from(s(X)))), 2nd(mark(X)) -> 2nd(X), 2nd(active(X)) -> 2nd(X), cons(X1, mark(X2)) -> cons(X1, X2), cons(X1, active(X2)) -> cons(X1, X2), cons(mark(X1), X2) -> cons(X1, X2), cons(active(X1), X2) -> cons(X1, X2), from(mark(X)) -> from(X), from(active(X)) -> from(X), s(mark(X)) -> s(X), s(active(X)) -> s(X) } Fail