MAYBE Problem: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(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#(sel(0(),cons(X,XS))) -> mark#(X) active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) active#(minus(X,0())) -> mark#(0()) active#(minus(s(X),s(Y))) -> minus#(X,Y) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) active#(quot(0(),s(Y))) -> mark#(0()) active#(quot(s(X),s(Y))) -> minus#(X,Y) active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) active#(zWquot(XS,nil())) -> mark#(nil()) active#(zWquot(nil(),XS)) -> mark#(nil()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) 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#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(0()) -> active#(0()) mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(nil()) -> active#(nil()) 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) sel#(mark(X1),X2) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) sel#(X1,active(X2)) -> sel#(X1,X2) minus#(mark(X1),X2) -> minus#(X1,X2) minus#(X1,mark(X2)) -> minus#(X1,X2) minus#(active(X1),X2) -> minus#(X1,X2) minus#(X1,active(X2)) -> minus#(X1,X2) quot#(mark(X1),X2) -> quot#(X1,X2) quot#(X1,mark(X2)) -> quot#(X1,X2) quot#(active(X1),X2) -> quot#(X1,X2) quot#(X1,active(X2)) -> quot#(X1,X2) zWquot#(mark(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) zWquot#(active(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,active(X2)) -> zWquot#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) TDG 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#(sel(0(),cons(X,XS))) -> mark#(X) active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) active#(minus(X,0())) -> mark#(0()) active#(minus(s(X),s(Y))) -> minus#(X,Y) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) active#(quot(0(),s(Y))) -> mark#(0()) active#(quot(s(X),s(Y))) -> minus#(X,Y) active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) active#(zWquot(XS,nil())) -> mark#(nil()) active#(zWquot(nil(),XS)) -> mark#(nil()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) 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#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(0()) -> active#(0()) mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(nil()) -> active#(nil()) 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) sel#(mark(X1),X2) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) sel#(X1,active(X2)) -> sel#(X1,X2) minus#(mark(X1),X2) -> minus#(X1,X2) minus#(X1,mark(X2)) -> minus#(X1,X2) minus#(active(X1),X2) -> minus#(X1,X2) minus#(X1,active(X2)) -> minus#(X1,X2) quot#(mark(X1),X2) -> quot#(X1,X2) quot#(X1,mark(X2)) -> quot#(X1,X2) quot#(active(X1),X2) -> quot#(X1,X2) quot#(X1,active(X2)) -> quot#(X1,X2) zWquot#(mark(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) zWquot#(active(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,active(X2)) -> zWquot#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) graph: zWquot#(mark(X1),X2) -> zWquot#(X1,X2) -> zWquot#(X1,active(X2)) -> zWquot#(X1,X2) zWquot#(mark(X1),X2) -> zWquot#(X1,X2) -> zWquot#(active(X1),X2) -> zWquot#(X1,X2) zWquot#(mark(X1),X2) -> zWquot#(X1,X2) -> zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) zWquot#(mark(X1),X2) -> zWquot#(X1,X2) -> zWquot#(mark(X1),X2) -> zWquot#(X1,X2) zWquot#(active(X1),X2) -> zWquot#(X1,X2) -> zWquot#(X1,active(X2)) -> zWquot#(X1,X2) zWquot#(active(X1),X2) -> zWquot#(X1,X2) -> zWquot#(active(X1),X2) -> zWquot#(X1,X2) zWquot#(active(X1),X2) -> zWquot#(X1,X2) -> zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) zWquot#(active(X1),X2) -> zWquot#(X1,X2) -> zWquot#(mark(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) -> zWquot#(X1,active(X2)) -> zWquot#(X1,X2) zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) -> zWquot#(active(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) -> zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) -> zWquot#(mark(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,active(X2)) -> zWquot#(X1,X2) -> zWquot#(X1,active(X2)) -> zWquot#(X1,X2) zWquot#(X1,active(X2)) -> zWquot#(X1,X2) -> zWquot#(active(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,active(X2)) -> zWquot#(X1,X2) -> zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) zWquot#(X1,active(X2)) -> zWquot#(X1,X2) -> zWquot#(mark(X1),X2) -> zWquot#(X1,X2) quot#(mark(X1),X2) -> quot#(X1,X2) -> quot#(X1,active(X2)) -> quot#(X1,X2) quot#(mark(X1),X2) -> quot#(X1,X2) -> quot#(active(X1),X2) -> quot#(X1,X2) quot#(mark(X1),X2) -> quot#(X1,X2) -> quot#(X1,mark(X2)) -> quot#(X1,X2) quot#(mark(X1),X2) -> quot#(X1,X2) -> quot#(mark(X1),X2) -> quot#(X1,X2) quot#(active(X1),X2) -> quot#(X1,X2) -> quot#(X1,active(X2)) -> quot#(X1,X2) quot#(active(X1),X2) -> quot#(X1,X2) -> quot#(active(X1),X2) -> quot#(X1,X2) quot#(active(X1),X2) -> quot#(X1,X2) -> quot#(X1,mark(X2)) -> quot#(X1,X2) quot#(active(X1),X2) -> quot#(X1,X2) -> quot#(mark(X1),X2) -> quot#(X1,X2) quot#(X1,mark(X2)) -> quot#(X1,X2) -> quot#(X1,active(X2)) -> quot#(X1,X2) quot#(X1,mark(X2)) -> quot#(X1,X2) -> quot#(active(X1),X2) -> quot#(X1,X2) quot#(X1,mark(X2)) -> quot#(X1,X2) -> quot#(X1,mark(X2)) -> quot#(X1,X2) quot#(X1,mark(X2)) -> quot#(X1,X2) -> quot#(mark(X1),X2) -> quot#(X1,X2) quot#(X1,active(X2)) -> quot#(X1,X2) -> quot#(X1,active(X2)) -> quot#(X1,X2) quot#(X1,active(X2)) -> quot#(X1,X2) -> quot#(active(X1),X2) -> quot#(X1,X2) quot#(X1,active(X2)) -> quot#(X1,X2) -> quot#(X1,mark(X2)) -> quot#(X1,X2) quot#(X1,active(X2)) -> quot#(X1,X2) -> quot#(mark(X1),X2) -> quot#(X1,X2) minus#(mark(X1),X2) -> minus#(X1,X2) -> minus#(X1,active(X2)) -> minus#(X1,X2) minus#(mark(X1),X2) -> minus#(X1,X2) -> minus#(active(X1),X2) -> minus#(X1,X2) minus#(mark(X1),X2) -> minus#(X1,X2) -> minus#(X1,mark(X2)) -> minus#(X1,X2) minus#(mark(X1),X2) -> minus#(X1,X2) -> minus#(mark(X1),X2) -> minus#(X1,X2) minus#(active(X1),X2) -> minus#(X1,X2) -> minus#(X1,active(X2)) -> minus#(X1,X2) minus#(active(X1),X2) -> minus#(X1,X2) -> minus#(active(X1),X2) -> minus#(X1,X2) minus#(active(X1),X2) -> minus#(X1,X2) -> minus#(X1,mark(X2)) -> minus#(X1,X2) minus#(active(X1),X2) -> minus#(X1,X2) -> minus#(mark(X1),X2) -> minus#(X1,X2) minus#(X1,mark(X2)) -> minus#(X1,X2) -> minus#(X1,active(X2)) -> minus#(X1,X2) minus#(X1,mark(X2)) -> minus#(X1,X2) -> minus#(active(X1),X2) -> minus#(X1,X2) minus#(X1,mark(X2)) -> minus#(X1,X2) -> minus#(X1,mark(X2)) -> minus#(X1,X2) minus#(X1,mark(X2)) -> minus#(X1,X2) -> minus#(mark(X1),X2) -> minus#(X1,X2) minus#(X1,active(X2)) -> minus#(X1,X2) -> minus#(X1,active(X2)) -> minus#(X1,X2) minus#(X1,active(X2)) -> minus#(X1,X2) -> minus#(active(X1),X2) -> minus#(X1,X2) minus#(X1,active(X2)) -> minus#(X1,X2) -> minus#(X1,mark(X2)) -> minus#(X1,X2) minus#(X1,active(X2)) -> minus#(X1,X2) -> minus#(mark(X1),X2) -> minus#(X1,X2) sel#(mark(X1),X2) -> sel#(X1,X2) -> sel#(X1,active(X2)) -> sel#(X1,X2) sel#(mark(X1),X2) -> sel#(X1,X2) -> sel#(active(X1),X2) -> sel#(X1,X2) sel#(mark(X1),X2) -> sel#(X1,X2) -> sel#(X1,mark(X2)) -> sel#(X1,X2) sel#(mark(X1),X2) -> sel#(X1,X2) -> sel#(mark(X1),X2) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) -> sel#(X1,active(X2)) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) -> sel#(active(X1),X2) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) -> sel#(X1,mark(X2)) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) -> sel#(mark(X1),X2) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) -> sel#(X1,active(X2)) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) -> sel#(active(X1),X2) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) -> sel#(X1,mark(X2)) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) -> sel#(mark(X1),X2) -> sel#(X1,X2) sel#(X1,active(X2)) -> sel#(X1,X2) -> sel#(X1,active(X2)) -> sel#(X1,X2) sel#(X1,active(X2)) -> sel#(X1,X2) -> sel#(active(X1),X2) -> sel#(X1,X2) sel#(X1,active(X2)) -> sel#(X1,X2) -> sel#(X1,mark(X2)) -> sel#(X1,X2) sel#(X1,active(X2)) -> sel#(X1,X2) -> sel#(mark(X1),X2) -> sel#(X1,X2) mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) -> zWquot#(X1,active(X2)) -> zWquot#(X1,X2) mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) -> zWquot#(active(X1),X2) -> zWquot#(X1,X2) mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) -> zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) -> zWquot#(mark(X1),X2) -> zWquot#(X1,X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> s#(mark(X)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(nil()) -> active#(nil()) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(nil()) -> active#(nil()) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(nil()) -> active#(nil()) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(nil()) -> active#(nil()) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(nil()) -> active#(nil()) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(nil()) -> active#(nil()) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(nil()) -> active#(nil()) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(nil()) -> active#(nil()) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(nil()) -> active#(nil()) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(nil()) -> active#(nil()) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(nil()) -> active#(nil()) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(nil()) -> active#(nil()) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(nil()) -> active#(nil()) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(nil()) -> active#(nil()) -> active#(minus(X,0())) -> mark#(0()) mark#(nil()) -> active#(nil()) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(nil()) -> active#(nil()) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(nil()) -> active#(nil()) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(nil()) -> active#(nil()) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(nil()) -> active#(nil()) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(nil()) -> active#(nil()) -> active#(from(X)) -> from#(s(X)) mark#(nil()) -> active#(nil()) -> active#(from(X)) -> s#(X) mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) -> quot#(X1,active(X2)) -> quot#(X1,X2) mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) -> quot#(active(X1),X2) -> quot#(X1,X2) mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) -> quot#(X1,mark(X2)) -> quot#(X1,X2) mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) -> quot#(mark(X1),X2) -> quot#(X1,X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> s#(mark(X)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) -> minus#(X1,active(X2)) -> minus#(X1,X2) mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) -> minus#(active(X1),X2) -> minus#(X1,X2) mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) -> minus#(X1,mark(X2)) -> minus#(X1,X2) mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) -> minus#(mark(X1),X2) -> minus#(X1,X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> s#(mark(X)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) -> sel#(X1,active(X2)) -> sel#(X1,X2) mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) -> sel#(active(X1),X2) -> sel#(X1,X2) mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) -> sel#(X1,mark(X2)) -> sel#(X1,X2) mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) -> sel#(mark(X1),X2) -> sel#(X1,X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> s#(mark(X)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> from#(mark(X)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(from(X)) -> from#(s(X)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(from(X)) -> s#(X) mark#(0()) -> active#(0()) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(0()) -> active#(0()) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(0()) -> active#(0()) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(0()) -> active#(0()) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(0()) -> active#(0()) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(0()) -> active#(0()) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(0()) -> active#(0()) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(0()) -> active#(0()) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(0()) -> active#(0()) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(0()) -> active#(0()) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(0()) -> active#(0()) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(0()) -> active#(0()) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(0()) -> active#(0()) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(0()) -> active#(0()) -> active#(minus(X,0())) -> mark#(0()) mark#(0()) -> active#(0()) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(0()) -> active#(0()) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(0()) -> active#(0()) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(0()) -> active#(0()) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(0()) -> active#(0()) -> active#(from(X)) -> cons#(X,from(s(X))) mark#(0()) -> active#(0()) -> active#(from(X)) -> from#(s(X)) mark#(0()) -> active#(0()) -> active#(from(X)) -> s#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> s#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> from#(mark(X)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(X1,active(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,mark(X2)) -> cons#(X1,X2) mark#(cons(X1,X2)) -> cons#(mark(X1),X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(minus(X,0())) -> mark#(0()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(sel(0(),cons(X,XS))) -> mark#(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#(from(X)) -> cons#(X,from(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)) -> s#(X) mark#(s(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(s(X)) -> s#(mark(X)) -> s#(active(X)) -> s#(X) mark#(s(X)) -> s#(mark(X)) -> s#(mark(X)) -> s#(X) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(s(X)) -> active#(s(mark(X))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(s(X)) -> active#(s(mark(X))) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(s(X)) -> active#(s(mark(X))) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(s(X)) -> active#(s(mark(X))) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(s(X)) -> active#(s(mark(X))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(s(X)) -> active#(s(mark(X))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(s(X)) -> active#(s(mark(X))) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(s(X)) -> active#(s(mark(X))) -> active#(minus(X,0())) -> mark#(0()) mark#(s(X)) -> active#(s(mark(X))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(s(X)) -> active#(s(mark(X))) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(s(X)) -> active#(s(mark(X))) -> active#(sel(0(),cons(X,XS))) -> mark#(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#(from(X)) -> cons#(X,from(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)) -> s#(X) mark#(from(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> s#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) -> from#(active(X)) -> from#(X) mark#(from(X)) -> from#(mark(X)) -> from#(mark(X)) -> from#(X) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(from(X)) -> active#(from(mark(X))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(from(X)) -> active#(from(mark(X))) -> active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) mark#(from(X)) -> active#(from(mark(X))) -> active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) mark#(from(X)) -> active#(from(mark(X))) -> active#(quot(s(X),s(Y))) -> minus#(X,Y) mark#(from(X)) -> active#(from(mark(X))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(from(X)) -> active#(from(mark(X))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(from(X)) -> active#(from(mark(X))) -> active#(minus(s(X),s(Y))) -> minus#(X,Y) mark#(from(X)) -> active#(from(mark(X))) -> active#(minus(X,0())) -> mark#(0()) mark#(from(X)) -> active#(from(mark(X))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(from(X)) -> active#(from(mark(X))) -> active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) mark#(from(X)) -> active#(from(mark(X))) -> active#(sel(0(),cons(X,XS))) -> mark#(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#(from(X)) -> cons#(X,from(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)) -> s#(X) cons#(mark(X1),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) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(X1,mark(X2)) -> cons#(X1,X2) cons#(mark(X1),X2) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(X1,active(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,mark(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(X1,active(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,mark(X2)) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(X1,active(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,mark(X2)) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) -> cons#(mark(X1),X2) -> cons#(X1,X2) from#(mark(X)) -> from#(X) -> from#(active(X)) -> from#(X) from#(mark(X)) -> from#(X) -> from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) -> from#(active(X)) -> from#(X) from#(active(X)) -> from#(X) -> from#(mark(X)) -> from#(X) s#(mark(X)) -> s#(X) -> s#(active(X)) -> s#(X) s#(mark(X)) -> s#(X) -> s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) -> s#(active(X)) -> s#(X) s#(active(X)) -> s#(X) -> s#(mark(X)) -> s#(X) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(quot(X1,X2)) -> mark#(X1) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(quot(X1,X2)) -> mark#(X2) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(minus(X1,X2)) -> mark#(X1) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(minus(X1,X2)) -> mark#(X2) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(0()) -> active#(0()) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(sel(X1,X2)) -> mark#(X1) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(sel(X1,X2)) -> mark#(X2) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(s(X)) -> active#(s(mark(X))) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(s(X)) -> s#(mark(X)) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(s(X)) -> mark#(X) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(from(X)) -> active#(from(mark(X))) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(from(X)) -> from#(mark(X)) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(from(X)) -> mark#(X) active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) -> zWquot#(X1,active(X2)) -> zWquot#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) -> zWquot#(active(X1),X2) -> zWquot#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) -> zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> zWquot#(XS,YS) -> zWquot#(mark(X1),X2) -> zWquot#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) -> quot#(X1,active(X2)) -> quot#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) -> quot#(active(X1),X2) -> quot#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) -> quot#(X1,mark(X2)) -> quot#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> quot#(X,Y) -> quot#(mark(X1),X2) -> quot#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(nil()) -> active#(nil()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(quot(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(quot(X1,X2)) -> mark#(X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(minus(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(minus(X1,X2)) -> mark#(X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(0()) -> active#(0()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(sel(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(sel(X1,X2)) -> mark#(X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(s(X)) -> active#(s(mark(X))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(s(X)) -> s#(mark(X)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(s(X)) -> mark#(X) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(from(X)) -> active#(from(mark(X))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(from(X)) -> from#(mark(X)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(from(X)) -> mark#(X) active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) -> cons#(X1,active(X2)) -> cons#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) -> cons#(active(X1),X2) -> cons#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) -> cons#(X1,mark(X2)) -> cons#(X1,X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> cons#(quot(X,Y),zWquot(XS,YS)) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(quot(X1,X2)) -> mark#(X1) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(quot(X1,X2)) -> mark#(X2) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(minus(X1,X2)) -> mark#(X1) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(minus(X1,X2)) -> mark#(X2) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(0()) -> active#(0()) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(sel(X1,X2)) -> mark#(X1) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(sel(X1,X2)) -> mark#(X2) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(s(X)) -> active#(s(mark(X))) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(s(X)) -> s#(mark(X)) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(s(X)) -> mark#(X) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(from(X)) -> active#(from(mark(X))) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(from(X)) -> from#(mark(X)) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(from(X)) -> mark#(X) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(nil()) -> active#(nil()) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(quot(X1,X2)) -> mark#(X1) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(quot(X1,X2)) -> mark#(X2) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(minus(X1,X2)) -> mark#(X1) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(minus(X1,X2)) -> mark#(X2) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(sel(X1,X2)) -> mark#(X1) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(sel(X1,X2)) -> mark#(X2) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(s(X)) -> active#(s(mark(X))) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(s(X)) -> s#(mark(X)) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(s(X)) -> mark#(X) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(cons(X1,X2)) -> mark#(X1) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(from(X)) -> active#(from(mark(X))) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(from(X)) -> from#(mark(X)) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(from(X)) -> mark#(X) active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) -> quot#(X1,active(X2)) -> quot#(X1,X2) active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) -> quot#(active(X1),X2) -> quot#(X1,X2) active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) -> quot#(X1,mark(X2)) -> quot#(X1,X2) active#(quot(s(X),s(Y))) -> quot#(minus(X,Y),s(Y)) -> quot#(mark(X1),X2) -> quot#(X1,X2) active#(quot(s(X),s(Y))) -> minus#(X,Y) -> minus#(X1,active(X2)) -> minus#(X1,X2) active#(quot(s(X),s(Y))) -> minus#(X,Y) -> minus#(active(X1),X2) -> minus#(X1,X2) active#(quot(s(X),s(Y))) -> minus#(X,Y) -> minus#(X1,mark(X2)) -> minus#(X1,X2) active#(quot(s(X),s(Y))) -> minus#(X,Y) -> minus#(mark(X1),X2) -> minus#(X1,X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(nil()) -> active#(nil()) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(quot(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(quot(X1,X2)) -> mark#(X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(minus(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(minus(X1,X2)) -> mark#(X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(0()) -> active#(0()) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(sel(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(sel(X1,X2)) -> mark#(X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(s(X)) -> active#(s(mark(X))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(s(X)) -> s#(mark(X)) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(s(X)) -> mark#(X) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(from(X)) -> active#(from(mark(X))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(from(X)) -> from#(mark(X)) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(from(X)) -> mark#(X) active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) -> s#(active(X)) -> s#(X) active#(quot(s(X),s(Y))) -> s#(quot(minus(X,Y),s(Y))) -> s#(mark(X)) -> s#(X) active#(minus(s(X),s(Y))) -> minus#(X,Y) -> minus#(X1,active(X2)) -> minus#(X1,X2) active#(minus(s(X),s(Y))) -> minus#(X,Y) -> minus#(active(X1),X2) -> minus#(X1,X2) active#(minus(s(X),s(Y))) -> minus#(X,Y) -> minus#(X1,mark(X2)) -> minus#(X1,X2) active#(minus(s(X),s(Y))) -> minus#(X,Y) -> minus#(mark(X1),X2) -> minus#(X1,X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(nil()) -> active#(nil()) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(quot(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(quot(X1,X2)) -> mark#(X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> mark#(X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(0()) -> active#(0()) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(sel(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(sel(X1,X2)) -> mark#(X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(s(X)) -> active#(s(mark(X))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(s(X)) -> s#(mark(X)) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(s(X)) -> mark#(X) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(cons(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(from(X)) -> active#(from(mark(X))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(from(X)) -> from#(mark(X)) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(from(X)) -> mark#(X) active#(minus(X,0())) -> mark#(0()) -> mark#(nil()) -> active#(nil()) active#(minus(X,0())) -> mark#(0()) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(minus(X,0())) -> mark#(0()) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(minus(X,0())) -> mark#(0()) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(minus(X,0())) -> mark#(0()) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(minus(X,0())) -> mark#(0()) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(minus(X,0())) -> mark#(0()) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(minus(X,0())) -> mark#(0()) -> mark#(quot(X1,X2)) -> mark#(X1) active#(minus(X,0())) -> mark#(0()) -> mark#(quot(X1,X2)) -> mark#(X2) active#(minus(X,0())) -> mark#(0()) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(minus(X,0())) -> mark#(0()) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(minus(X,0())) -> mark#(0()) -> mark#(minus(X1,X2)) -> mark#(X1) active#(minus(X,0())) -> mark#(0()) -> mark#(minus(X1,X2)) -> mark#(X2) active#(minus(X,0())) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(minus(X,0())) -> mark#(0()) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(minus(X,0())) -> mark#(0()) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(minus(X,0())) -> mark#(0()) -> mark#(sel(X1,X2)) -> mark#(X1) active#(minus(X,0())) -> mark#(0()) -> mark#(sel(X1,X2)) -> mark#(X2) active#(minus(X,0())) -> mark#(0()) -> mark#(s(X)) -> active#(s(mark(X))) active#(minus(X,0())) -> mark#(0()) -> mark#(s(X)) -> s#(mark(X)) active#(minus(X,0())) -> mark#(0()) -> mark#(s(X)) -> mark#(X) active#(minus(X,0())) -> mark#(0()) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(minus(X,0())) -> mark#(0()) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(minus(X,0())) -> mark#(0()) -> mark#(cons(X1,X2)) -> mark#(X1) active#(minus(X,0())) -> mark#(0()) -> mark#(from(X)) -> active#(from(mark(X))) active#(minus(X,0())) -> mark#(0()) -> mark#(from(X)) -> from#(mark(X)) active#(minus(X,0())) -> mark#(0()) -> mark#(from(X)) -> mark#(X) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(nil()) -> active#(nil()) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(0()) -> active#(0()) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(s(X)) -> s#(mark(X)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(s(X)) -> mark#(X) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(from(X)) -> from#(mark(X)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(from(X)) -> mark#(X) active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) -> sel#(X1,active(X2)) -> sel#(X1,X2) active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) -> sel#(active(X1),X2) -> sel#(X1,X2) active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) -> sel#(X1,mark(X2)) -> sel#(X1,X2) active#(sel(s(N),cons(X,XS))) -> sel#(N,XS) -> sel#(mark(X1),X2) -> sel#(X1,X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(nil()) -> active#(nil()) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(quot(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(quot(X1,X2)) -> mark#(X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(minus(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(minus(X1,X2)) -> mark#(X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(0()) -> active#(0()) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> mark#(X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(s(X)) -> active#(s(mark(X))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(s(X)) -> s#(mark(X)) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(s(X)) -> mark#(X) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(cons(X1,X2)) -> cons#(mark(X1),X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(cons(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(from(X)) -> active#(from(mark(X))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(from(X)) -> from#(mark(X)) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(from(X)) -> mark#(X) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(nil()) -> active#(nil()) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWquot(X1,X2)) -> zWquot#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(quot(X1,X2)) -> quot#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(quot(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(quot(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(minus(X1,X2)) -> minus#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(minus(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(minus(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(0()) -> active#(0()) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(sel(X1,X2)) -> sel#(mark(X1),mark(X2)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(sel(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(sel(X1,X2)) -> mark#(X2) 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#(s(X)) -> s#(mark(X)) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(s(X)) -> mark#(X) 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#(cons(X1,X2)) -> cons#(mark(X1),X2) 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#(from(X)) -> active#(from(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)) -> mark#(X) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(X1,active(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,mark(X2)) -> cons#(X1,X2) active#(from(X)) -> cons#(X,from(s(X))) -> cons#(mark(X1),X2) -> cons#(X1,X2) active#(from(X)) -> from#(s(X)) -> from#(active(X)) -> from#(X) active#(from(X)) -> from#(s(X)) -> from#(mark(X)) -> from#(X) active#(from(X)) -> s#(X) -> s#(active(X)) -> s#(X) active#(from(X)) -> s#(X) -> s#(mark(X)) -> s#(X) SCC Processor: #sccs: 8 #rules: 54 #arcs: 906/5184 DPs: mark#(zWquot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(s(X)) -> mark#(X) mark#(s(X)) -> active#(s(mark(X))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(minus(X,0())) -> mark#(0()) mark#(0()) -> active#(0()) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(quot(0(),s(Y))) -> mark#(0()) mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(XS,nil())) -> mark#(nil()) mark#(nil()) -> active#(nil()) active#(zWquot(nil(),XS)) -> mark#(nil()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) EDG Processor: DPs: mark#(zWquot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(s(X)) -> mark#(X) mark#(s(X)) -> active#(s(mark(X))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(minus(X,0())) -> mark#(0()) mark#(0()) -> active#(0()) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(quot(0(),s(Y))) -> mark#(0()) mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(XS,nil())) -> mark#(nil()) mark#(nil()) -> active#(nil()) active#(zWquot(nil(),XS)) -> mark#(nil()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) graph: mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> 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)) -> 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)) -> active#(s(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) 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#(sel(0(),cons(X,XS))) -> mark#(X) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(minus(X,0())) -> mark#(0()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> 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)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(s(X)) -> active#(s(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(s(X)) -> active#(s(mark(X))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(s(X)) -> active#(s(mark(X))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(s(X)) -> active#(s(mark(X))) -> active#(minus(X,0())) -> mark#(0()) mark#(s(X)) -> active#(s(mark(X))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(s(X)) -> active#(s(mark(X))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(s(X)) -> active#(s(mark(X))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(s(X)) -> active#(s(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> 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)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(from(X)) -> active#(from(mark(X))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(from(X)) -> active#(from(mark(X))) -> active#(minus(X,0())) -> mark#(0()) mark#(from(X)) -> active#(from(mark(X))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(from(X)) -> active#(from(mark(X))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(from(X)) -> active#(from(mark(X))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(from(X)) -> active#(from(mark(X))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(from(X)) -> mark#(X) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(from(X)) -> active#(from(mark(X))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(s(X)) -> mark#(X) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(s(X)) -> active#(s(mark(X))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(sel(X1,X2)) -> mark#(X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(sel(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(minus(X1,X2)) -> mark#(X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(minus(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(quot(X1,X2)) -> mark#(X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(quot(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(from(X)) -> mark#(X) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(from(X)) -> active#(from(mark(X))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(s(X)) -> mark#(X) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(s(X)) -> active#(s(mark(X))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(sel(X1,X2)) -> mark#(X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(sel(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(minus(X1,X2)) -> mark#(X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(minus(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(quot(X1,X2)) -> mark#(X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(quot(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(from(X)) -> mark#(X) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(from(X)) -> active#(from(mark(X))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(cons(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(s(X)) -> mark#(X) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(s(X)) -> active#(s(mark(X))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(sel(X1,X2)) -> mark#(X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(sel(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> mark#(X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(quot(X1,X2)) -> mark#(X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(quot(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(minus(X,0())) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(from(X)) -> mark#(X) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(s(X)) -> mark#(X) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(0()) -> active#(0()) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(nil()) -> active#(nil()) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(from(X)) -> mark#(X) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(from(X)) -> active#(from(mark(X))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(cons(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(s(X)) -> mark#(X) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(s(X)) -> active#(s(mark(X))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> mark#(X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(minus(X1,X2)) -> mark#(X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(minus(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(quot(X1,X2)) -> mark#(X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(quot(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(zWquot(X1,X2)) -> active#(zWquot(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)) -> 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)) -> 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)) -> active#(s(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(sel(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(sel(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(minus(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(minus(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(quot(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(quot(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(from(X)) -> mark#(cons(X,from(s(X)))) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) CDG Processor: DPs: mark#(zWquot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(s(X)) -> mark#(X) mark#(s(X)) -> active#(s(mark(X))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(minus(X,0())) -> mark#(0()) mark#(0()) -> active#(0()) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(quot(0(),s(Y))) -> mark#(0()) mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(XS,nil())) -> mark#(nil()) mark#(nil()) -> active#(nil()) active#(zWquot(nil(),XS)) -> mark#(nil()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) graph: mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(zWquot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(nil(),XS)) -> mark#(nil()) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) -> active#(zWquot(XS,nil())) -> mark#(nil()) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(quot(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(quot(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) -> active#(quot(0(),s(Y))) -> mark#(0()) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(minus(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(minus(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) -> active#(minus(X,0())) -> mark#(0()) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(nil()) -> active#(nil()) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(0()) -> active#(0()) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> active#(s(mark(X))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> active#(from(mark(X))) mark#(sel(X1,X2)) -> mark#(X2) -> mark#(from(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(sel(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) -> active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(nil()) -> active#(nil()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(0()) -> active#(0()) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> active#(s(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(s(X)) -> mark#(X) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> active#(from(mark(X))) mark#(cons(X1,X2)) -> mark#(X1) -> mark#(from(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(s(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(s(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(nil()) -> active#(nil()) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(0()) -> active#(0()) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(s(X)) -> mark#(X) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) mark#(from(X)) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) mark#(from(X)) -> mark#(X) -> mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) -> active#(from(X)) -> mark#(cons(X,from(s(X)))) active#(zWquot(nil(),XS)) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) -> mark#(cons(X1,X2)) -> mark#(X1) active#(zWquot(XS,nil())) -> mark#(nil()) -> mark#(nil()) -> active#(nil()) active#(quot(0(),s(Y))) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(s(X)) -> active#(s(mark(X))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) -> mark#(s(X)) -> mark#(X) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> mark#(X1) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) -> mark#(minus(X1,X2)) -> mark#(X2) active#(minus(X,0())) -> mark#(0()) -> mark#(0()) -> active#(0()) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(nil()) -> active#(nil()) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(zWquot(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(quot(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(minus(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(0()) -> active#(0()) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(sel(X1,X2)) -> mark#(X2) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(s(X)) -> active#(s(mark(X))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(s(X)) -> mark#(X) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(cons(X1,X2)) -> active#(cons(mark(X1),X2)) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(cons(X1,X2)) -> mark#(X1) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(from(X)) -> active#(from(mark(X))) active#(sel(0(),cons(X,XS))) -> mark#(X) -> mark#(from(X)) -> mark#(X) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> mark#(X1) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) -> mark#(sel(X1,X2)) -> mark#(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#(cons(X1,X2)) -> mark#(X1) SCC Processor: #sccs: 1 #rules: 22 #arcs: 266/900 DPs: mark#(zWquot(X1,X2)) -> mark#(X2) mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X2) mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(quot(X1,X2)) -> mark#(X2) mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) -> mark#(X1) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Arctic Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0 + 0, [active#](x0) = x0 + 0, [zWquot](x0, x1) = 7x0 + 2x1 + 7, [nil] = 0, [quot](x0, x1) = x0 + 1x1 + 7, [minus](x0, x1) = x0 + 1x1 + 2, [sel](x0, x1) = x0 + x1 + 0, [0] = 0, [mark](x0) = x0 + 0, [cons](x0, x1) = x0 + x1 + 0, [s](x0) = x0 + 6, [active](x0) = x0 + 0, [from](x0) = x0 + 6 orientation: mark#(zWquot(X1,X2)) = 7X1 + 2X2 + 7 >= X2 + 0 = mark#(X2) mark#(from(X)) = X + 6 >= X + 0 = mark#(X) mark#(from(X)) = X + 6 >= X + 6 = active#(from(mark(X))) active#(from(X)) = X + 6 >= X + 6 = mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) = X1 + X2 + 0 >= X1 + 0 = mark#(X1) mark#(s(X)) = X + 6 >= X + 0 = mark#(X) mark#(sel(X1,X2)) = X1 + X2 + 0 >= X2 + 0 = mark#(X2) mark#(sel(X1,X2)) = X1 + X2 + 0 >= X1 + 0 = mark#(X1) mark#(sel(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active#(sel(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) = X + XS + 0 >= X + 0 = mark#(X) mark#(minus(X1,X2)) = X1 + 1X2 + 2 >= X2 + 0 = mark#(X2) mark#(minus(X1,X2)) = X1 + 1X2 + 2 >= X1 + 0 = mark#(X1) mark#(minus(X1,X2)) = X1 + 1X2 + 2 >= X1 + 1X2 + 2 = active#(minus(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) = X + 1Y + 7 >= X + 1Y + 2 = mark#(minus(X,Y)) mark#(quot(X1,X2)) = X1 + 1X2 + 7 >= X2 + 0 = mark#(X2) mark#(quot(X1,X2)) = X1 + 1X2 + 7 >= X1 + 0 = mark#(X1) mark#(quot(X1,X2)) = X1 + 1X2 + 7 >= X1 + 1X2 + 7 = active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) = X + 1Y + 7 >= X + 1Y + 7 = mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) = 7X1 + 2X2 + 7 >= X1 + 0 = mark#(X1) mark#(zWquot(X1,X2)) = 7X1 + 2X2 + 7 >= 7X1 + 2X2 + 7 = active#(zWquot(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) = 7X + 7XS + 2Y + 2YS + 7 >= X + 7XS + 1Y + 2YS + 7 = mark#(cons(quot(X,Y),zWquot(XS,YS))) active#(sel(s(N),cons(X,XS))) = N + X + XS + 6 >= N + XS + 0 = mark#(sel(N,XS)) active(from(X)) = X + 6 >= X + 6 = mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) = X + XS + 0 >= X + 0 = mark(X) active(sel(s(N),cons(X,XS))) = N + X + XS + 6 >= N + XS + 0 = mark(sel(N,XS)) active(minus(X,0())) = X + 2 >= 0 = mark(0()) active(minus(s(X),s(Y))) = X + 1Y + 7 >= X + 1Y + 2 = mark(minus(X,Y)) active(quot(0(),s(Y))) = 1Y + 7 >= 0 = mark(0()) active(quot(s(X),s(Y))) = X + 1Y + 7 >= X + 1Y + 7 = mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) = 7XS + 7 >= 0 = mark(nil()) active(zWquot(nil(),XS)) = 2XS + 7 >= 0 = mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) = 7X + 7XS + 2Y + 2YS + 7 >= X + 7XS + 1Y + 2YS + 7 = mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) = X + 6 >= X + 6 = active(from(mark(X))) mark(cons(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active(cons(mark(X1),X2)) mark(s(X)) = X + 6 >= X + 6 = active(s(mark(X))) mark(sel(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active(sel(mark(X1),mark(X2))) mark(0()) = 0 >= 0 = active(0()) mark(minus(X1,X2)) = X1 + 1X2 + 2 >= X1 + 1X2 + 2 = active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) = X1 + 1X2 + 7 >= X1 + 1X2 + 7 = active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) = 7X1 + 2X2 + 7 >= 7X1 + 2X2 + 7 = active(zWquot(mark(X1),mark(X2))) mark(nil()) = 0 >= 0 = active(nil()) from(mark(X)) = X + 6 >= X + 6 = from(X) from(active(X)) = X + 6 >= X + 6 = from(X) cons(mark(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = cons(X1,X2) cons(X1,mark(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = cons(X1,X2) cons(active(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = cons(X1,X2) cons(X1,active(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = cons(X1,X2) s(mark(X)) = X + 6 >= X + 6 = s(X) s(active(X)) = X + 6 >= X + 6 = s(X) sel(mark(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = sel(X1,X2) sel(X1,mark(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = sel(X1,X2) sel(active(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = sel(X1,X2) sel(X1,active(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = sel(X1,X2) minus(mark(X1),X2) = X1 + 1X2 + 2 >= X1 + 1X2 + 2 = minus(X1,X2) minus(X1,mark(X2)) = X1 + 1X2 + 2 >= X1 + 1X2 + 2 = minus(X1,X2) minus(active(X1),X2) = X1 + 1X2 + 2 >= X1 + 1X2 + 2 = minus(X1,X2) minus(X1,active(X2)) = X1 + 1X2 + 2 >= X1 + 1X2 + 2 = minus(X1,X2) quot(mark(X1),X2) = X1 + 1X2 + 7 >= X1 + 1X2 + 7 = quot(X1,X2) quot(X1,mark(X2)) = X1 + 1X2 + 7 >= X1 + 1X2 + 7 = quot(X1,X2) quot(active(X1),X2) = X1 + 1X2 + 7 >= X1 + 1X2 + 7 = quot(X1,X2) quot(X1,active(X2)) = X1 + 1X2 + 7 >= X1 + 1X2 + 7 = quot(X1,X2) zWquot(mark(X1),X2) = 7X1 + 2X2 + 7 >= 7X1 + 2X2 + 7 = zWquot(X1,X2) zWquot(X1,mark(X2)) = 7X1 + 2X2 + 7 >= 7X1 + 2X2 + 7 = zWquot(X1,X2) zWquot(active(X1),X2) = 7X1 + 2X2 + 7 >= 7X1 + 2X2 + 7 = zWquot(X1,X2) zWquot(X1,active(X2)) = 7X1 + 2X2 + 7 >= 7X1 + 2X2 + 7 = zWquot(X1,X2) problem: DPs: mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) -> mark#(X) mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Arctic Interpretation Processor: dimension: 1 interpretation: [mark#](x0) = x0 + 0, [active#](x0) = x0 + 0, [zWquot](x0, x1) = x0 + x1 + 0, [nil] = 0, [quot](x0, x1) = x0 + x1 + 0, [minus](x0, x1) = x0 + x1 + 0, [sel](x0, x1) = 1x0 + 4x1 + 0, [0] = 1, [mark](x0) = x0, [cons](x0, x1) = x0 + x1 + 0, [s](x0) = x0 + 0, [active](x0) = x0 + 0, [from](x0) = x0 + 0 orientation: mark#(from(X)) = X + 0 >= X + 0 = mark#(X) mark#(from(X)) = X + 0 >= X + 0 = active#(from(mark(X))) active#(from(X)) = X + 0 >= X + 0 = mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) = X1 + X2 + 0 >= X1 + 0 = mark#(X1) mark#(s(X)) = X + 0 >= X + 0 = mark#(X) mark#(sel(X1,X2)) = 1X1 + 4X2 + 0 >= X2 + 0 = mark#(X2) mark#(sel(X1,X2)) = 1X1 + 4X2 + 0 >= X1 + 0 = mark#(X1) mark#(sel(X1,X2)) = 1X1 + 4X2 + 0 >= 1X1 + 4X2 + 0 = active#(sel(mark(X1),mark(X2))) active#(sel(0(),cons(X,XS))) = 4X + 4XS + 4 >= X + 0 = mark#(X) mark#(minus(X1,X2)) = X1 + X2 + 0 >= X1 + 0 = mark#(X1) mark#(minus(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active#(minus(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) = X + Y + 0 >= X + Y + 0 = mark#(minus(X,Y)) mark#(quot(X1,X2)) = X1 + X2 + 0 >= X1 + 0 = mark#(X1) mark#(quot(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) = X + Y + 0 >= X + Y + 0 = mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active#(zWquot(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) = X + XS + Y + YS + 0 >= X + XS + Y + YS + 0 = mark#(cons(quot(X,Y),zWquot(XS,YS))) active#(sel(s(N),cons(X,XS))) = 1N + 4X + 4XS + 4 >= 1N + 4XS + 0 = mark#(sel(N,XS)) active(from(X)) = X + 0 >= X + 0 = mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) = 4X + 4XS + 4 >= X = mark(X) active(sel(s(N),cons(X,XS))) = 1N + 4X + 4XS + 4 >= 1N + 4XS + 0 = mark(sel(N,XS)) active(minus(X,0())) = X + 1 >= 1 = mark(0()) active(minus(s(X),s(Y))) = X + Y + 0 >= X + Y + 0 = mark(minus(X,Y)) active(quot(0(),s(Y))) = Y + 1 >= 1 = mark(0()) active(quot(s(X),s(Y))) = X + Y + 0 >= X + Y + 0 = mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) = XS + 0 >= 0 = mark(nil()) active(zWquot(nil(),XS)) = XS + 0 >= 0 = mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) = X + XS + Y + YS + 0 >= X + XS + Y + YS + 0 = mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) = X + 0 >= X + 0 = active(from(mark(X))) mark(cons(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active(cons(mark(X1),X2)) mark(s(X)) = X + 0 >= X + 0 = active(s(mark(X))) mark(sel(X1,X2)) = 1X1 + 4X2 + 0 >= 1X1 + 4X2 + 0 = active(sel(mark(X1),mark(X2))) mark(0()) = 1 >= 1 = active(0()) mark(minus(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = active(zWquot(mark(X1),mark(X2))) mark(nil()) = 0 >= 0 = active(nil()) from(mark(X)) = X + 0 >= X + 0 = from(X) from(active(X)) = X + 0 >= X + 0 = from(X) cons(mark(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = cons(X1,X2) cons(X1,mark(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = cons(X1,X2) cons(active(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = cons(X1,X2) cons(X1,active(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = cons(X1,X2) s(mark(X)) = X + 0 >= X + 0 = s(X) s(active(X)) = X + 0 >= X + 0 = s(X) sel(mark(X1),X2) = 1X1 + 4X2 + 0 >= 1X1 + 4X2 + 0 = sel(X1,X2) sel(X1,mark(X2)) = 1X1 + 4X2 + 0 >= 1X1 + 4X2 + 0 = sel(X1,X2) sel(active(X1),X2) = 1X1 + 4X2 + 1 >= 1X1 + 4X2 + 0 = sel(X1,X2) sel(X1,active(X2)) = 1X1 + 4X2 + 4 >= 1X1 + 4X2 + 0 = sel(X1,X2) minus(mark(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = minus(X1,X2) minus(X1,mark(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = minus(X1,X2) minus(active(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = minus(X1,X2) minus(X1,active(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = minus(X1,X2) quot(mark(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = quot(X1,X2) quot(X1,mark(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = quot(X1,X2) quot(active(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = quot(X1,X2) quot(X1,active(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = quot(X1,X2) zWquot(mark(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = zWquot(X1,X2) zWquot(X1,mark(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = zWquot(X1,X2) zWquot(active(X1),X2) = X1 + X2 + 0 >= X1 + X2 + 0 = zWquot(X1,X2) zWquot(X1,active(X2)) = X1 + X2 + 0 >= X1 + X2 + 0 = zWquot(X1,X2) problem: DPs: mark#(from(X)) -> mark#(X) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(cons(X1,X2)) -> mark#(X1) mark#(s(X)) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) mark#(minus(X1,X2)) -> mark#(X1) mark#(minus(X1,X2)) -> active#(minus(mark(X1),mark(X2))) active#(minus(s(X),s(Y))) -> mark#(minus(X,Y)) mark#(quot(X1,X2)) -> mark#(X1) mark#(quot(X1,X2)) -> active#(quot(mark(X1),mark(X2))) active#(quot(s(X),s(Y))) -> mark#(s(quot(minus(X,Y),s(Y)))) mark#(zWquot(X1,X2)) -> active#(zWquot(mark(X1),mark(X2))) active#(zWquot(cons(X,XS),cons(Y,YS))) -> mark#(cons(quot(X,Y),zWquot(XS,YS))) active#(sel(s(N),cons(X,XS))) -> mark#(sel(N,XS)) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Open DPs: 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) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(cons#) = 1 problem: DPs: cons#(mark(X1),X2) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(cons#) = 0 problem: DPs: TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Qed DPs: s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(s#) = 0 problem: DPs: TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Qed DPs: from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(from#) = 0 problem: DPs: TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Qed DPs: sel#(mark(X1),X2) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) sel#(X1,active(X2)) -> sel#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(sel#) = 1 problem: DPs: sel#(mark(X1),X2) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(sel#) = 0 problem: DPs: TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Qed DPs: minus#(mark(X1),X2) -> minus#(X1,X2) minus#(X1,mark(X2)) -> minus#(X1,X2) minus#(active(X1),X2) -> minus#(X1,X2) minus#(X1,active(X2)) -> minus#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(minus#) = 1 problem: DPs: minus#(mark(X1),X2) -> minus#(X1,X2) minus#(active(X1),X2) -> minus#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(minus#) = 0 problem: DPs: TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Qed DPs: quot#(mark(X1),X2) -> quot#(X1,X2) quot#(X1,mark(X2)) -> quot#(X1,X2) quot#(active(X1),X2) -> quot#(X1,X2) quot#(X1,active(X2)) -> quot#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(quot#) = 1 problem: DPs: quot#(mark(X1),X2) -> quot#(X1,X2) quot#(active(X1),X2) -> quot#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(quot#) = 0 problem: DPs: TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Qed DPs: zWquot#(mark(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,mark(X2)) -> zWquot#(X1,X2) zWquot#(active(X1),X2) -> zWquot#(X1,X2) zWquot#(X1,active(X2)) -> zWquot#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(zWquot#) = 1 problem: DPs: zWquot#(mark(X1),X2) -> zWquot#(X1,X2) zWquot#(active(X1),X2) -> zWquot#(X1,X2) TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Subterm Criterion Processor: simple projection: pi(zWquot#) = 0 problem: DPs: TRS: active(from(X)) -> mark(cons(X,from(s(X)))) active(sel(0(),cons(X,XS))) -> mark(X) active(sel(s(N),cons(X,XS))) -> mark(sel(N,XS)) active(minus(X,0())) -> mark(0()) active(minus(s(X),s(Y))) -> mark(minus(X,Y)) active(quot(0(),s(Y))) -> mark(0()) active(quot(s(X),s(Y))) -> mark(s(quot(minus(X,Y),s(Y)))) active(zWquot(XS,nil())) -> mark(nil()) active(zWquot(nil(),XS)) -> mark(nil()) active(zWquot(cons(X,XS),cons(Y,YS))) -> mark(cons(quot(X,Y),zWquot(XS,YS))) mark(from(X)) -> active(from(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(s(X)) -> active(s(mark(X))) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(0()) -> active(0()) mark(minus(X1,X2)) -> active(minus(mark(X1),mark(X2))) mark(quot(X1,X2)) -> active(quot(mark(X1),mark(X2))) mark(zWquot(X1,X2)) -> active(zWquot(mark(X1),mark(X2))) mark(nil()) -> active(nil()) 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) sel(mark(X1),X2) -> sel(X1,X2) sel(X1,mark(X2)) -> sel(X1,X2) sel(active(X1),X2) -> sel(X1,X2) sel(X1,active(X2)) -> sel(X1,X2) minus(mark(X1),X2) -> minus(X1,X2) minus(X1,mark(X2)) -> minus(X1,X2) minus(active(X1),X2) -> minus(X1,X2) minus(X1,active(X2)) -> minus(X1,X2) quot(mark(X1),X2) -> quot(X1,X2) quot(X1,mark(X2)) -> quot(X1,X2) quot(active(X1),X2) -> quot(X1,X2) quot(X1,active(X2)) -> quot(X1,X2) zWquot(mark(X1),X2) -> zWquot(X1,X2) zWquot(X1,mark(X2)) -> zWquot(X1,X2) zWquot(active(X1),X2) -> zWquot(X1,X2) zWquot(X1,active(X2)) -> zWquot(X1,X2) Qed