MAYBE MAYBE TRS: { mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))), mark(nil()) -> active(nil()), mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(from(X)) -> active(from(mark(X))), mark(s(X)) -> active(s(mark(X))), mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))), mark(prefix(X)) -> active(prefix(mark(X))), active(app(nil(), YS)) -> mark(YS), active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))), active(from(X)) -> mark(cons(X, from(s(X)))), active(zWadr(XS, nil())) -> mark(nil()), active(zWadr(nil(), YS)) -> mark(nil()), active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil())), zWadr(XS, YS))), active(prefix(L)) -> mark(cons(nil(), zWadr(L, prefix(L)))), app(X1, mark(X2)) -> app(X1, X2), app(X1, active(X2)) -> app(X1, X2), app(mark(X1), X2) -> app(X1, X2), app(active(X1), X2) -> app(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), from(mark(X)) -> from(X), from(active(X)) -> from(X), s(mark(X)) -> s(X), s(active(X)) -> s(X), zWadr(X1, mark(X2)) -> zWadr(X1, X2), zWadr(X1, active(X2)) -> zWadr(X1, X2), zWadr(mark(X1), X2) -> zWadr(X1, X2), zWadr(active(X1), X2) -> zWadr(X1, X2), prefix(mark(X)) -> prefix(X), prefix(active(X)) -> prefix(X) } DUP: We consider a duplicating system. Trs: { mark(app(X1, X2)) -> active(app(mark(X1), mark(X2))), mark(nil()) -> active(nil()), mark(cons(X1, X2)) -> active(cons(mark(X1), X2)), mark(from(X)) -> active(from(mark(X))), mark(s(X)) -> active(s(mark(X))), mark(zWadr(X1, X2)) -> active(zWadr(mark(X1), mark(X2))), mark(prefix(X)) -> active(prefix(mark(X))), active(app(nil(), YS)) -> mark(YS), active(app(cons(X, XS), YS)) -> mark(cons(X, app(XS, YS))), active(from(X)) -> mark(cons(X, from(s(X)))), active(zWadr(XS, nil())) -> mark(nil()), active(zWadr(nil(), YS)) -> mark(nil()), active(zWadr(cons(X, XS), cons(Y, YS))) -> mark(cons(app(Y, cons(X, nil())), zWadr(XS, YS))), active(prefix(L)) -> mark(cons(nil(), zWadr(L, prefix(L)))), app(X1, mark(X2)) -> app(X1, X2), app(X1, active(X2)) -> app(X1, X2), app(mark(X1), X2) -> app(X1, X2), app(active(X1), X2) -> app(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), from(mark(X)) -> from(X), from(active(X)) -> from(X), s(mark(X)) -> s(X), s(active(X)) -> s(X), zWadr(X1, mark(X2)) -> zWadr(X1, X2), zWadr(X1, active(X2)) -> zWadr(X1, X2), zWadr(mark(X1), X2) -> zWadr(X1, X2), zWadr(active(X1), X2) -> zWadr(X1, X2), prefix(mark(X)) -> prefix(X), prefix(active(X)) -> prefix(X) } Fail