MAYBE Problem: a__app(nil(),YS) -> mark(YS) a__app(cons(X,XS),YS) -> cons(mark(X),app(XS,YS)) a__from(X) -> cons(mark(X),from(s(X))) a__zWadr(nil(),YS) -> nil() a__zWadr(XS,nil()) -> nil() a__zWadr(cons(X,XS),cons(Y,YS)) -> cons(a__app(mark(Y),cons(mark(X),nil())),zWadr(XS,YS)) a__prefix(L) -> cons(nil(),zWadr(L,prefix(L))) mark(app(X1,X2)) -> a__app(mark(X1),mark(X2)) mark(from(X)) -> a__from(mark(X)) mark(zWadr(X1,X2)) -> a__zWadr(mark(X1),mark(X2)) mark(prefix(X)) -> a__prefix(mark(X)) mark(nil()) -> nil() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) a__app(X1,X2) -> app(X1,X2) a__from(X) -> from(X) a__zWadr(X1,X2) -> zWadr(X1,X2) a__prefix(X) -> prefix(X) Proof: DP Processor: DPs: a__app#(nil(),YS) -> mark#(YS) a__app#(cons(X,XS),YS) -> mark#(X) a__from#(X) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) a__zWadr#(cons(X,XS),cons(Y,YS)) -> a__app#(mark(Y),cons(mark(X),nil())) mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> a__from#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(prefix(X)) -> mark#(X) mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) TRS: a__app(nil(),YS) -> mark(YS) a__app(cons(X,XS),YS) -> cons(mark(X),app(XS,YS)) a__from(X) -> cons(mark(X),from(s(X))) a__zWadr(nil(),YS) -> nil() a__zWadr(XS,nil()) -> nil() a__zWadr(cons(X,XS),cons(Y,YS)) -> cons(a__app(mark(Y),cons(mark(X),nil())),zWadr(XS,YS)) a__prefix(L) -> cons(nil(),zWadr(L,prefix(L))) mark(app(X1,X2)) -> a__app(mark(X1),mark(X2)) mark(from(X)) -> a__from(mark(X)) mark(zWadr(X1,X2)) -> a__zWadr(mark(X1),mark(X2)) mark(prefix(X)) -> a__prefix(mark(X)) mark(nil()) -> nil() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) a__app(X1,X2) -> app(X1,X2) a__from(X) -> from(X) a__zWadr(X1,X2) -> zWadr(X1,X2) a__prefix(X) -> prefix(X) EDG Processor: DPs: a__app#(nil(),YS) -> mark#(YS) a__app#(cons(X,XS),YS) -> mark#(X) a__from#(X) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) a__zWadr#(cons(X,XS),cons(Y,YS)) -> a__app#(mark(Y),cons(mark(X),nil())) mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> a__from#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(prefix(X)) -> mark#(X) mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) TRS: a__app(nil(),YS) -> mark(YS) a__app(cons(X,XS),YS) -> cons(mark(X),app(XS,YS)) a__from(X) -> cons(mark(X),from(s(X))) a__zWadr(nil(),YS) -> nil() a__zWadr(XS,nil()) -> nil() a__zWadr(cons(X,XS),cons(Y,YS)) -> cons(a__app(mark(Y),cons(mark(X),nil())),zWadr(XS,YS)) a__prefix(L) -> cons(nil(),zWadr(L,prefix(L))) mark(app(X1,X2)) -> a__app(mark(X1),mark(X2)) mark(from(X)) -> a__from(mark(X)) mark(zWadr(X1,X2)) -> a__zWadr(mark(X1),mark(X2)) mark(prefix(X)) -> a__prefix(mark(X)) mark(nil()) -> nil() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) a__app(X1,X2) -> app(X1,X2) a__from(X) -> from(X) a__zWadr(X1,X2) -> zWadr(X1,X2) a__prefix(X) -> prefix(X) graph: a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(app(X1,X2)) -> mark#(X2) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(app(X1,X2)) -> mark#(X1) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(from(X)) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(from(X)) -> a__from#(mark(X)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(zWadr(X1,X2)) -> mark#(X2) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(zWadr(X1,X2)) -> mark#(X1) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(prefix(X)) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(prefix(X)) -> a__prefix#(mark(X)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(cons(X1,X2)) -> mark#(X1) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) -> mark#(s(X)) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(from(X)) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(from(X)) -> a__from#(mark(X)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(prefix(X)) -> a__prefix#(mark(X)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) -> mark#(s(X)) -> mark#(X) a__zWadr#(cons(X,XS),cons(Y,YS)) -> a__app#(mark(Y),cons(mark(X),nil())) -> a__app#(nil(),YS) -> mark#(YS) a__zWadr#(cons(X,XS),cons(Y,YS)) -> a__app#(mark(Y),cons(mark(X),nil())) -> a__app#(cons(X,XS),YS) -> mark#(X) a__from#(X) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) a__from#(X) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) a__from#(X) -> mark#(X) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) a__from#(X) -> mark#(X) -> mark#(from(X)) -> mark#(X) a__from#(X) -> mark#(X) -> mark#(from(X)) -> a__from#(mark(X)) a__from#(X) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) a__from#(X) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) a__from#(X) -> mark#(X) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) a__from#(X) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) a__from#(X) -> mark#(X) -> mark#(prefix(X)) -> a__prefix#(mark(X)) a__from#(X) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) a__from#(X) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(prefix(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(mark(X)) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(prefix(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(prefix(X)) -> mark#(X) -> mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(prefix(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) -> a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) -> a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) -> a__zWadr#(cons(X,XS),cons(Y,YS)) -> a__app#(mark(Y),cons(mark(X),nil())) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> a__from#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> a__from#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(from(X)) -> a__from#(mark(X)) -> a__from#(X) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> a__from#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> a__from#(mark(X)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X2) -> mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(app(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> a__from#(mark(X)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(app(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(app(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) -> a__app#(nil(),YS) -> mark#(YS) mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) -> a__app#(cons(X,XS),YS) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> a__from#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(prefix(X)) -> a__prefix#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X2) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(app(X1,X2)) -> mark#(X1) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(from(X)) -> mark#(X) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(from(X)) -> a__from#(mark(X)) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X2) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(zWadr(X1,X2)) -> mark#(X1) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(prefix(X)) -> mark#(X) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(prefix(X)) -> a__prefix#(mark(X)) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) a__app#(cons(X,XS),YS) -> mark#(X) -> mark#(s(X)) -> mark#(X) a__app#(nil(),YS) -> mark#(YS) -> mark#(app(X1,X2)) -> mark#(X2) a__app#(nil(),YS) -> mark#(YS) -> mark#(app(X1,X2)) -> mark#(X1) a__app#(nil(),YS) -> mark#(YS) -> mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) a__app#(nil(),YS) -> mark#(YS) -> mark#(from(X)) -> mark#(X) a__app#(nil(),YS) -> mark#(YS) -> mark#(from(X)) -> a__from#(mark(X)) a__app#(nil(),YS) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> mark#(X2) a__app#(nil(),YS) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> mark#(X1) a__app#(nil(),YS) -> mark#(YS) -> mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) a__app#(nil(),YS) -> mark#(YS) -> mark#(prefix(X)) -> mark#(X) a__app#(nil(),YS) -> mark#(YS) -> mark#(prefix(X)) -> a__prefix#(mark(X)) a__app#(nil(),YS) -> mark#(YS) -> mark#(cons(X1,X2)) -> mark#(X1) a__app#(nil(),YS) -> mark#(YS) -> mark#(s(X)) -> mark#(X) SCC Processor: #sccs: 1 #rules: 17 #arcs: 164/324 DPs: a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(Y) mark#(s(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) mark#(prefix(X)) -> mark#(X) mark#(zWadr(X1,X2)) -> a__zWadr#(mark(X1),mark(X2)) a__zWadr#(cons(X,XS),cons(Y,YS)) -> a__app#(mark(Y),cons(mark(X),nil())) a__app#(cons(X,XS),YS) -> mark#(X) mark#(zWadr(X1,X2)) -> mark#(X1) mark#(zWadr(X1,X2)) -> mark#(X2) mark#(from(X)) -> a__from#(mark(X)) a__from#(X) -> mark#(X) mark#(from(X)) -> mark#(X) mark#(app(X1,X2)) -> a__app#(mark(X1),mark(X2)) a__app#(nil(),YS) -> mark#(YS) mark#(app(X1,X2)) -> mark#(X1) mark#(app(X1,X2)) -> mark#(X2) a__zWadr#(cons(X,XS),cons(Y,YS)) -> mark#(X) TRS: a__app(nil(),YS) -> mark(YS) a__app(cons(X,XS),YS) -> cons(mark(X),app(XS,YS)) a__from(X) -> cons(mark(X),from(s(X))) a__zWadr(nil(),YS) -> nil() a__zWadr(XS,nil()) -> nil() a__zWadr(cons(X,XS),cons(Y,YS)) -> cons(a__app(mark(Y),cons(mark(X),nil())),zWadr(XS,YS)) a__prefix(L) -> cons(nil(),zWadr(L,prefix(L))) mark(app(X1,X2)) -> a__app(mark(X1),mark(X2)) mark(from(X)) -> a__from(mark(X)) mark(zWadr(X1,X2)) -> a__zWadr(mark(X1),mark(X2)) mark(prefix(X)) -> a__prefix(mark(X)) mark(nil()) -> nil() mark(cons(X1,X2)) -> cons(mark(X1),X2) mark(s(X)) -> s(mark(X)) a__app(X1,X2) -> app(X1,X2) a__from(X) -> from(X) a__zWadr(X1,X2) -> zWadr(X1,X2) a__prefix(X) -> prefix(X) Open