MAYBE Problem: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) Proof: DP Processor: DPs: active#(from(X)) -> s#(X) active#(from(X)) -> from#(s(X)) active#(from(X)) -> cons#(X,from(s(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) active#(after(0(),XS)) -> mark#(XS) active#(after(s(N),cons(X,XS))) -> after#(N,XS) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> active#(s(mark(X))) mark#(after(X1,X2)) -> mark#(X2) mark#(after(X1,X2)) -> mark#(X1) mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) mark#(0()) -> active#(0()) from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) after#(mark(X1),X2) -> after#(X1,X2) after#(X1,mark(X2)) -> after#(X1,X2) after#(active(X1),X2) -> after#(X1,X2) after#(X1,active(X2)) -> after#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) ADG Processor: DPs: active#(from(X)) -> s#(X) active#(from(X)) -> from#(s(X)) active#(from(X)) -> cons#(X,from(s(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) active#(after(0(),XS)) -> mark#(XS) active#(after(s(N),cons(X,XS))) -> after#(N,XS) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> active#(s(mark(X))) mark#(after(X1,X2)) -> mark#(X2) mark#(after(X1,X2)) -> mark#(X1) mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) mark#(0()) -> active#(0()) from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) after#(mark(X1),X2) -> after#(X1,X2) after#(X1,mark(X2)) -> after#(X1,X2) after#(active(X1),X2) -> after#(X1,X2) after#(X1,active(X2)) -> after#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) graph: after#(mark(X1),X2) -> after#(X1,X2) -> after#(mark(X1),X2) -> after#(X1,X2) after#(mark(X1),X2) -> after#(X1,X2) -> after#(X1,mark(X2)) -> after#(X1,X2) after#(mark(X1),X2) -> after#(X1,X2) -> after#(active(X1),X2) -> after#(X1,X2) after#(mark(X1),X2) -> after#(X1,X2) -> after#(X1,active(X2)) -> after#(X1,X2) after#(active(X1),X2) -> after#(X1,X2) -> after#(mark(X1),X2) -> after#(X1,X2) after#(active(X1),X2) -> after#(X1,X2) -> after#(X1,mark(X2)) -> after#(X1,X2) after#(active(X1),X2) -> after#(X1,X2) -> after#(active(X1),X2) -> after#(X1,X2) after#(active(X1),X2) -> after#(X1,X2) -> after#(X1,active(X2)) -> after#(X1,X2) after#(X1,mark(X2)) -> after#(X1,X2) -> after#(mark(X1),X2) -> after#(X1,X2) after#(X1,mark(X2)) -> after#(X1,X2) -> after#(X1,mark(X2)) -> after#(X1,X2) after#(X1,mark(X2)) -> after#(X1,X2) -> after#(active(X1),X2) -> after#(X1,X2) after#(X1,mark(X2)) -> after#(X1,X2) -> after#(X1,active(X2)) -> after#(X1,X2) after#(X1,active(X2)) -> after#(X1,X2) -> after#(mark(X1),X2) -> after#(X1,X2) after#(X1,active(X2)) -> after#(X1,X2) -> after#(X1,mark(X2)) -> after#(X1,X2) after#(X1,active(X2)) -> after#(X1,X2) -> after#(active(X1),X2) -> after#(X1,X2) after#(X1,active(X2)) -> after#(X1,X2) -> after#(X1,active(X2)) -> after#(X1,X2) mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) -> after#(mark(X1),X2) -> after#(X1,X2) mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) -> after#(X1,mark(X2)) -> after#(X1,X2) mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) -> after#(active(X1),X2) -> after#(X1,X2) mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) -> after#(X1,active(X2)) -> after#(X1,X2) mark#(after(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(after(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(after(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(after(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(after(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(after(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(after(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(after(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> s#(mark(X)) mark#(after(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(after(X1,X2)) -> mark#(X2) -> mark#(after(X1,X2)) -> mark#(X2) mark#(after(X1,X2)) -> mark#(X2) -> mark#(after(X1,X2)) -> mark#(X1) mark#(after(X1,X2)) -> mark#(X2) -> mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) mark#(after(X1,X2)) -> mark#(X2) -> mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) mark#(after(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(after(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(after(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(after(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(after(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(after(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(after(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(after(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(after(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(after(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(after(X1,X2)) -> mark#(X1) -> mark#(after(X1,X2)) -> mark#(X2) mark#(after(X1,X2)) -> mark#(X1) -> mark#(after(X1,X2)) -> mark#(X1) mark#(after(X1,X2)) -> mark#(X1) -> mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) mark#(after(X1,X2)) -> mark#(X1) -> mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) mark#(after(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) -> active#(after(0(),XS)) -> mark#(XS) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) -> active#(after(s(N),cons(X,XS))) -> after#(N,XS) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) -> active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(after(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(after(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(active(X1),X2) -> cons#(X1,X2) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> s#(X) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> from#(s(X)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(after(0(),XS)) -> mark#(XS) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(after(s(N),cons(X,XS))) -> after#(N,XS) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(after(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(after(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(s(X)) -> s#(mark(X)) -> s#(mark(X)) -> s#(X) mark#(s(X)) -> s#(mark(X)) -> s#(active(X)) -> s#(X) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> s#(X) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> from#(s(X)) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(s(X)) -> active#(s(mark(X))) -> active#(after(0(),XS)) -> mark#(XS) mark#(s(X)) -> active#(s(mark(X))) -> active#(after(s(N),cons(X,XS))) -> after#(N,XS) mark#(s(X)) -> active#(s(mark(X))) -> active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> s#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(after(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(after(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(from(X)) -> from#(mark(X)) -> from#(mark(X)) -> from#(X) mark#(from(X)) -> from#(mark(X)) -> from#(active(X)) -> from#(X) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> s#(X) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> from#(s(X)) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(from(X)) -> active#(from(mark(X))) -> active#(after(0(),XS)) -> mark#(XS) mark#(from(X)) -> active#(from(mark(X))) -> active#(after(s(N),cons(X,XS))) -> after#(N,XS) mark#(from(X)) -> active#(from(mark(X))) -> active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(active(X1),X2) -> cons#(X1,X2) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(active(X1),X2) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(X1,active(X2)) -> cons#(X1,X2) from#(mark(X)) -> from#(X) -> from#(mark(X)) -> from#(X) from#(mark(X)) -> from#(X) -> from#(active(X)) -> from#(X) from#(active(X)) -> from#(X) -> from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) -> from#(active(X)) -> from#(X) s#(mark(X)) -> s#(X) -> s#(mark(X)) -> s#(X) s#(mark(X)) -> s#(X) -> s#(active(X)) -> s#(X) s#(active(X)) -> s#(X) -> s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) -> s#(active(X)) -> s#(X) active#(after(0(),XS)) -> mark#(XS) -> mark#(from(X)) -> mark#(X) active#(after(0(),XS)) -> mark#(XS) -> mark#(from(X)) -> from#(mark(X)) active#(after(0(),XS)) -> mark#(XS) -> mark#(from(X)) -> active#(from(mark(X))) active#(after(0(),XS)) -> mark#(XS) -> mark#(cons(X1,X2)) -> mark#(X1) active#(after(0(),XS)) -> mark#(XS) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(after(0(),XS)) -> mark#(XS) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(after(0(),XS)) -> mark#(XS) -> mark#(s(X)) -> mark#(X) active#(after(0(),XS)) -> mark#(XS) -> mark#(s(X)) -> s#(mark(X)) active#(after(0(),XS)) -> mark#(XS) -> mark#(s(X)) -> active#(s(mark(X))) active#(after(0(),XS)) -> mark#(XS) -> mark#(after(X1,X2)) -> mark#(X2) active#(after(0(),XS)) -> mark#(XS) -> mark#(after(X1,X2)) -> mark#(X1) active#(after(0(),XS)) -> mark#(XS) -> mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) active#(after(0(),XS)) -> mark#(XS) -> mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) active#(after(0(),XS)) -> mark#(XS) -> mark#(0()) -> active#(0()) active#(after(s(N),cons(X,XS))) -> after#(N,XS) -> after#(mark(X1),X2) -> after#(X1,X2) active#(after(s(N),cons(X,XS))) -> after#(N,XS) -> after#(X1,mark(X2)) -> after#(X1,X2) active#(after(s(N),cons(X,XS))) -> after#(N,XS) -> after#(active(X1),X2) -> after#(X1,X2) active#(after(s(N),cons(X,XS))) -> after#(N,XS) -> after#(X1,active(X2)) -> after#(X1,X2) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(from(X)) -> mark#(X) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(from(X)) -> from#(mark(X)) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(from(X)) -> active#(from(mark(X))) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(cons(X1,X2)) -> mark#(X1) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(s(X)) -> mark#(X) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(s(X)) -> s#(mark(X)) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(s(X)) -> active#(s(mark(X))) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(after(X1,X2)) -> mark#(X2) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(after(X1,X2)) -> mark#(X1) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) -> mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(from(X)) -> mark#(X) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(from(X)) -> from#(mark(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(X)) -> mark#(X) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(X)) -> s#(mark(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(X)) -> active#(s(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(after(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(after(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(X1,mark(X2)) -> cons#(X1,X2) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(active(X1),X2) -> cons#(X1,X2) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(X1,active(X2)) -> cons#(X1,X2) active#(from(X)) -> from#(s(X)) -> from#(mark(X)) -> from#(X) active#(from(X)) -> from#(s(X)) -> from#(active(X)) -> from#(X) active#(from(X)) -> s#(X) -> s#(mark(X)) -> s#(X) active#(from(X)) -> s#(X) -> s#(active(X)) -> s#(X) Restore Modifier: DPs: active#(from(X)) -> s#(X) active#(from(X)) -> from#(s(X)) active#(from(X)) -> cons#(X,from(s(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) active#(after(0(),XS)) -> mark#(XS) active#(after(s(N),cons(X,XS))) -> after#(N,XS) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> active#(s(mark(X))) mark#(after(X1,X2)) -> mark#(X2) mark#(after(X1,X2)) -> mark#(X1) mark#(after(X1,X2)) -> after#(mark(X1),mark(X2)) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) mark#(0()) -> active#(0()) from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) after#(mark(X1),X2) -> after#(X1,X2) after#(X1,mark(X2)) -> after#(X1,X2) after#(active(X1),X2) -> after#(X1,X2) after#(X1,active(X2)) -> after#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) SCC Processor: #sccs: 5 #rules: 24 #arcs: 202/1089 DPs: mark#(after(X1,X2)) -> mark#(X2) mark#(after(X1,X2)) -> active#(after(mark(X1),mark(X2))) active#(after(s(N),cons(X,XS))) -> mark#(after(N,XS)) mark#(after(X1,X2)) -> mark#(X1) mark#(s(X)) -> active#(s(mark(X))) active#(after(0(),XS)) -> mark#(XS) mark#(s(X)) -> mark#(X) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> active#(from(mark(X))) mark#(from(X)) -> mark#(X) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) Open DPs: from#(active(X)) -> from#(X) from#(mark(X)) -> from#(X) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) Open DPs: cons#(X1,active(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(mark(X1),X2) -> cons#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) Open DPs: s#(active(X)) -> s#(X) s#(mark(X)) -> s#(X) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) Open DPs: after#(mark(X1),X2) -> after#(X1,X2) after#(X1,active(X2)) -> after#(X1,X2) after#(active(X1),X2) -> after#(X1,X2) after#(X1,mark(X2)) -> after#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(after(0(),XS)) -> mark(XS) active(after(s(N),cons(X,XS))) -> mark(after(N,XS)) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(after(X1,X2)) -> active(after(mark(X1),mark(X2))) mark(0()) -> active(0()) from(mark(X)) -> from(X) from(active(X)) -> from(X) cons(mark(X1),X2) -> cons(X1,X2) cons(X1,mark(X2)) -> cons(X1,X2) cons(active(X1),X2) -> cons(X1,X2) cons(X1,active(X2)) -> cons(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) after(mark(X1),X2) -> after(X1,X2) after(X1,mark(X2)) -> after(X1,X2) after(active(X1),X2) -> after(X1,X2) after(X1,active(X2)) -> after(X1,X2) Open