MAYBE MAYBE TRS: { mark(nil()) -> active(nil()), mark(fst(X1, X2)) -> active(fst(mark(X1), mark(X2))), mark(0()) -> active(0()), mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(s(X)) -> active(s(X)), mark(from(X)) -> active(from(mark(X))), mark(add(X1, X2)) -> active(add(mark(X1), mark(X2))), mark(len(X)) -> active(len(mark(X))), active(fst(0(), Z)) -> mark(nil()), active(fst(s(X), cons(Y, Z))) -> mark(cons(Y, fst(X, Z))), active(from(X)) -> mark(cons(X, from(s(X)))), active(add(0(), X)) -> mark(X), active(add(s(X), Y)) -> mark(s(add(X, Y))), active(len(nil())) -> mark(0()), active(len(cons(X, Z))) -> mark(s(len(Z))), fst(X1, mark(X2)) -> fst(X1, X2), fst(X1, active(X2)) -> fst(X1, X2), fst(mark(X1), X2) -> fst(X1, X2), fst(active(X1), X2) -> fst(X1, X2), 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), s(mark(X)) -> s(X), s(active(X)) -> s(X), from(mark(X)) -> from(X), from(active(X)) -> from(X), add(X1, mark(X2)) -> add(X1, X2), add(X1, active(X2)) -> add(X1, X2), add(mark(X1), X2) -> add(X1, X2), add(active(X1), X2) -> add(X1, X2), len(mark(X)) -> len(X), len(active(X)) -> len(X) } DUP: We consider a duplicating system. Trs: { mark(nil()) -> active(nil()), mark(fst(X1, X2)) -> active(fst(mark(X1), mark(X2))), mark(0()) -> active(0()), mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(s(X)) -> active(s(X)), mark(from(X)) -> active(from(mark(X))), mark(add(X1, X2)) -> active(add(mark(X1), mark(X2))), mark(len(X)) -> active(len(mark(X))), active(fst(0(), Z)) -> mark(nil()), active(fst(s(X), cons(Y, Z))) -> mark(cons(Y, fst(X, Z))), active(from(X)) -> mark(cons(X, from(s(X)))), active(add(0(), X)) -> mark(X), active(add(s(X), Y)) -> mark(s(add(X, Y))), active(len(nil())) -> mark(0()), active(len(cons(X, Z))) -> mark(s(len(Z))), fst(X1, mark(X2)) -> fst(X1, X2), fst(X1, active(X2)) -> fst(X1, X2), fst(mark(X1), X2) -> fst(X1, X2), fst(active(X1), X2) -> fst(X1, X2), 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), s(mark(X)) -> s(X), s(active(X)) -> s(X), from(mark(X)) -> from(X), from(active(X)) -> from(X), add(X1, mark(X2)) -> add(X1, X2), add(X1, active(X2)) -> add(X1, X2), add(mark(X1), X2) -> add(X1, X2), add(active(X1), X2) -> add(X1, X2), len(mark(X)) -> len(X), len(active(X)) -> len(X) } Fail