MAYBE Problem: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Proof: DP Processor: DPs: active#(sel(s(X),cons(Y,Z))) -> sel#(X,Z) active#(sel(s(X),cons(Y,Z))) -> mark#(sel(X,Z)) active#(sel(0(),cons(X,Z))) -> mark#(X) active#(first(0(),Z)) -> mark#(nil()) active#(first(s(X),cons(Y,Z))) -> first#(X,Z) active#(first(s(X),cons(Y,Z))) -> cons#(Y,first(X,Z)) active#(first(s(X),cons(Y,Z))) -> mark#(cons(Y,first(X,Z))) 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#(sel1(s(X),cons(Y,Z))) -> sel1#(X,Z) active#(sel1(s(X),cons(Y,Z))) -> mark#(sel1(X,Z)) active#(sel1(0(),cons(X,Z))) -> quote#(X) active#(sel1(0(),cons(X,Z))) -> mark#(quote(X)) active#(first1(0(),Z)) -> mark#(nil1()) active#(first1(s(X),cons(Y,Z))) -> first1#(X,Z) active#(first1(s(X),cons(Y,Z))) -> quote#(Y) active#(first1(s(X),cons(Y,Z))) -> cons1#(quote(Y),first1(X,Z)) active#(first1(s(X),cons(Y,Z))) -> mark#(cons1(quote(Y),first1(X,Z))) active#(quote(0())) -> mark#(01()) active#(quote1(cons(X,Z))) -> quote1#(Z) active#(quote1(cons(X,Z))) -> quote#(X) active#(quote1(cons(X,Z))) -> cons1#(quote(X),quote1(Z)) active#(quote1(cons(X,Z))) -> mark#(cons1(quote(X),quote1(Z))) active#(quote1(nil())) -> mark#(nil1()) active#(quote(s(X))) -> quote#(X) active#(quote(s(X))) -> s1#(quote(X)) active#(quote(s(X))) -> mark#(s1(quote(X))) active#(quote(sel(X,Z))) -> sel1#(X,Z) active#(quote(sel(X,Z))) -> mark#(sel1(X,Z)) active#(quote1(first(X,Z))) -> first1#(X,Z) active#(quote1(first(X,Z))) -> mark#(first1(X,Z)) active#(unquote(01())) -> mark#(0()) active#(unquote(s1(X))) -> unquote#(X) active#(unquote(s1(X))) -> s#(unquote(X)) active#(unquote(s1(X))) -> mark#(s(unquote(X))) active#(unquote1(nil1())) -> mark#(nil()) active#(unquote1(cons1(X,Z))) -> unquote1#(Z) active#(unquote1(cons1(X,Z))) -> unquote#(X) active#(unquote1(cons1(X,Z))) -> fcons#(unquote(X),unquote1(Z)) active#(unquote1(cons1(X,Z))) -> mark#(fcons(unquote(X),unquote1(Z))) active#(fcons(X,Z)) -> cons#(X,Z) active#(fcons(X,Z)) -> mark#(cons(X,Z)) 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#(s(X)) -> mark#(X) mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> active#(s(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#(0()) -> active#(0()) mark#(first(X1,X2)) -> mark#(X2) mark#(first(X1,X2)) -> mark#(X1) mark#(first(X1,X2)) -> first#(mark(X1),mark(X2)) mark#(first(X1,X2)) -> active#(first(mark(X1),mark(X2))) mark#(nil()) -> active#(nil()) mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> active#(from(mark(X))) mark#(sel1(X1,X2)) -> mark#(X2) mark#(sel1(X1,X2)) -> mark#(X1) mark#(sel1(X1,X2)) -> sel1#(mark(X1),mark(X2)) mark#(sel1(X1,X2)) -> active#(sel1(mark(X1),mark(X2))) mark#(quote(X)) -> active#(quote(X)) mark#(first1(X1,X2)) -> mark#(X2) mark#(first1(X1,X2)) -> mark#(X1) mark#(first1(X1,X2)) -> first1#(mark(X1),mark(X2)) mark#(first1(X1,X2)) -> active#(first1(mark(X1),mark(X2))) mark#(nil1()) -> active#(nil1()) mark#(cons1(X1,X2)) -> mark#(X2) mark#(cons1(X1,X2)) -> mark#(X1) mark#(cons1(X1,X2)) -> cons1#(mark(X1),mark(X2)) mark#(cons1(X1,X2)) -> active#(cons1(mark(X1),mark(X2))) mark#(01()) -> active#(01()) mark#(quote1(X)) -> active#(quote1(X)) mark#(s1(X)) -> mark#(X) mark#(s1(X)) -> s1#(mark(X)) mark#(s1(X)) -> active#(s1(mark(X))) mark#(unquote(X)) -> mark#(X) mark#(unquote(X)) -> unquote#(mark(X)) mark#(unquote(X)) -> active#(unquote(mark(X))) mark#(unquote1(X)) -> mark#(X) mark#(unquote1(X)) -> unquote1#(mark(X)) mark#(unquote1(X)) -> active#(unquote1(mark(X))) mark#(fcons(X1,X2)) -> mark#(X2) mark#(fcons(X1,X2)) -> mark#(X1) mark#(fcons(X1,X2)) -> fcons#(mark(X1),mark(X2)) mark#(fcons(X1,X2)) -> active#(fcons(mark(X1),mark(X2))) 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) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(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) first#(mark(X1),X2) -> first#(X1,X2) first#(X1,mark(X2)) -> first#(X1,X2) first#(active(X1),X2) -> first#(X1,X2) first#(X1,active(X2)) -> first#(X1,X2) from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) sel1#(mark(X1),X2) -> sel1#(X1,X2) sel1#(X1,mark(X2)) -> sel1#(X1,X2) sel1#(active(X1),X2) -> sel1#(X1,X2) sel1#(X1,active(X2)) -> sel1#(X1,X2) quote#(mark(X)) -> quote#(X) quote#(active(X)) -> quote#(X) first1#(mark(X1),X2) -> first1#(X1,X2) first1#(X1,mark(X2)) -> first1#(X1,X2) first1#(active(X1),X2) -> first1#(X1,X2) first1#(X1,active(X2)) -> first1#(X1,X2) cons1#(mark(X1),X2) -> cons1#(X1,X2) cons1#(X1,mark(X2)) -> cons1#(X1,X2) cons1#(active(X1),X2) -> cons1#(X1,X2) cons1#(X1,active(X2)) -> cons1#(X1,X2) quote1#(mark(X)) -> quote1#(X) quote1#(active(X)) -> quote1#(X) s1#(mark(X)) -> s1#(X) s1#(active(X)) -> s1#(X) unquote#(mark(X)) -> unquote#(X) unquote#(active(X)) -> unquote#(X) unquote1#(mark(X)) -> unquote1#(X) unquote1#(active(X)) -> unquote1#(X) fcons#(mark(X1),X2) -> fcons#(X1,X2) fcons#(X1,mark(X2)) -> fcons#(X1,X2) fcons#(active(X1),X2) -> fcons#(X1,X2) fcons#(X1,active(X2)) -> fcons#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) CDG Processor: DPs: active#(sel(s(X),cons(Y,Z))) -> sel#(X,Z) active#(sel(s(X),cons(Y,Z))) -> mark#(sel(X,Z)) active#(sel(0(),cons(X,Z))) -> mark#(X) active#(first(0(),Z)) -> mark#(nil()) active#(first(s(X),cons(Y,Z))) -> first#(X,Z) active#(first(s(X),cons(Y,Z))) -> cons#(Y,first(X,Z)) active#(first(s(X),cons(Y,Z))) -> mark#(cons(Y,first(X,Z))) 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#(sel1(s(X),cons(Y,Z))) -> sel1#(X,Z) active#(sel1(s(X),cons(Y,Z))) -> mark#(sel1(X,Z)) active#(sel1(0(),cons(X,Z))) -> quote#(X) active#(sel1(0(),cons(X,Z))) -> mark#(quote(X)) active#(first1(0(),Z)) -> mark#(nil1()) active#(first1(s(X),cons(Y,Z))) -> first1#(X,Z) active#(first1(s(X),cons(Y,Z))) -> quote#(Y) active#(first1(s(X),cons(Y,Z))) -> cons1#(quote(Y),first1(X,Z)) active#(first1(s(X),cons(Y,Z))) -> mark#(cons1(quote(Y),first1(X,Z))) active#(quote(0())) -> mark#(01()) active#(quote1(cons(X,Z))) -> quote1#(Z) active#(quote1(cons(X,Z))) -> quote#(X) active#(quote1(cons(X,Z))) -> cons1#(quote(X),quote1(Z)) active#(quote1(cons(X,Z))) -> mark#(cons1(quote(X),quote1(Z))) active#(quote1(nil())) -> mark#(nil1()) active#(quote(s(X))) -> quote#(X) active#(quote(s(X))) -> s1#(quote(X)) active#(quote(s(X))) -> mark#(s1(quote(X))) active#(quote(sel(X,Z))) -> sel1#(X,Z) active#(quote(sel(X,Z))) -> mark#(sel1(X,Z)) active#(quote1(first(X,Z))) -> first1#(X,Z) active#(quote1(first(X,Z))) -> mark#(first1(X,Z)) active#(unquote(01())) -> mark#(0()) active#(unquote(s1(X))) -> unquote#(X) active#(unquote(s1(X))) -> s#(unquote(X)) active#(unquote(s1(X))) -> mark#(s(unquote(X))) active#(unquote1(nil1())) -> mark#(nil()) active#(unquote1(cons1(X,Z))) -> unquote1#(Z) active#(unquote1(cons1(X,Z))) -> unquote#(X) active#(unquote1(cons1(X,Z))) -> fcons#(unquote(X),unquote1(Z)) active#(unquote1(cons1(X,Z))) -> mark#(fcons(unquote(X),unquote1(Z))) active#(fcons(X,Z)) -> cons#(X,Z) active#(fcons(X,Z)) -> mark#(cons(X,Z)) 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#(s(X)) -> mark#(X) mark#(s(X)) -> s#(mark(X)) mark#(s(X)) -> active#(s(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#(0()) -> active#(0()) mark#(first(X1,X2)) -> mark#(X2) mark#(first(X1,X2)) -> mark#(X1) mark#(first(X1,X2)) -> first#(mark(X1),mark(X2)) mark#(first(X1,X2)) -> active#(first(mark(X1),mark(X2))) mark#(nil()) -> active#(nil()) mark#(from(X)) -> mark#(X) mark#(from(X)) -> from#(mark(X)) mark#(from(X)) -> active#(from(mark(X))) mark#(sel1(X1,X2)) -> mark#(X2) mark#(sel1(X1,X2)) -> mark#(X1) mark#(sel1(X1,X2)) -> sel1#(mark(X1),mark(X2)) mark#(sel1(X1,X2)) -> active#(sel1(mark(X1),mark(X2))) mark#(quote(X)) -> active#(quote(X)) mark#(first1(X1,X2)) -> mark#(X2) mark#(first1(X1,X2)) -> mark#(X1) mark#(first1(X1,X2)) -> first1#(mark(X1),mark(X2)) mark#(first1(X1,X2)) -> active#(first1(mark(X1),mark(X2))) mark#(nil1()) -> active#(nil1()) mark#(cons1(X1,X2)) -> mark#(X2) mark#(cons1(X1,X2)) -> mark#(X1) mark#(cons1(X1,X2)) -> cons1#(mark(X1),mark(X2)) mark#(cons1(X1,X2)) -> active#(cons1(mark(X1),mark(X2))) mark#(01()) -> active#(01()) mark#(quote1(X)) -> active#(quote1(X)) mark#(s1(X)) -> mark#(X) mark#(s1(X)) -> s1#(mark(X)) mark#(s1(X)) -> active#(s1(mark(X))) mark#(unquote(X)) -> mark#(X) mark#(unquote(X)) -> unquote#(mark(X)) mark#(unquote(X)) -> active#(unquote(mark(X))) mark#(unquote1(X)) -> mark#(X) mark#(unquote1(X)) -> unquote1#(mark(X)) mark#(unquote1(X)) -> active#(unquote1(mark(X))) mark#(fcons(X1,X2)) -> mark#(X2) mark#(fcons(X1,X2)) -> mark#(X1) mark#(fcons(X1,X2)) -> fcons#(mark(X1),mark(X2)) mark#(fcons(X1,X2)) -> active#(fcons(mark(X1),mark(X2))) 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) s#(mark(X)) -> s#(X) s#(active(X)) -> s#(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) first#(mark(X1),X2) -> first#(X1,X2) first#(X1,mark(X2)) -> first#(X1,X2) first#(active(X1),X2) -> first#(X1,X2) first#(X1,active(X2)) -> first#(X1,X2) from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) sel1#(mark(X1),X2) -> sel1#(X1,X2) sel1#(X1,mark(X2)) -> sel1#(X1,X2) sel1#(active(X1),X2) -> sel1#(X1,X2) sel1#(X1,active(X2)) -> sel1#(X1,X2) quote#(mark(X)) -> quote#(X) quote#(active(X)) -> quote#(X) first1#(mark(X1),X2) -> first1#(X1,X2) first1#(X1,mark(X2)) -> first1#(X1,X2) first1#(active(X1),X2) -> first1#(X1,X2) first1#(X1,active(X2)) -> first1#(X1,X2) cons1#(mark(X1),X2) -> cons1#(X1,X2) cons1#(X1,mark(X2)) -> cons1#(X1,X2) cons1#(active(X1),X2) -> cons1#(X1,X2) cons1#(X1,active(X2)) -> cons1#(X1,X2) quote1#(mark(X)) -> quote1#(X) quote1#(active(X)) -> quote1#(X) s1#(mark(X)) -> s1#(X) s1#(active(X)) -> s1#(X) unquote#(mark(X)) -> unquote#(X) unquote#(active(X)) -> unquote#(X) unquote1#(mark(X)) -> unquote1#(X) unquote1#(active(X)) -> unquote1#(X) fcons#(mark(X1),X2) -> fcons#(X1,X2) fcons#(X1,mark(X2)) -> fcons#(X1,X2) fcons#(active(X1),X2) -> fcons#(X1,X2) fcons#(X1,active(X2)) -> fcons#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) graph: ... SCC Processor: #sccs: 15 #rules: 84 #arcs: 1234/17956 DPs: mark#(fcons(X1,X2)) -> mark#(X2) mark#(fcons(X1,X2)) -> active#(fcons(mark(X1),mark(X2))) active#(fcons(X,Z)) -> mark#(cons(X,Z)) mark#(cons(X1,X2)) -> mark#(X1) mark#(fcons(X1,X2)) -> mark#(X1) mark#(unquote1(X)) -> active#(unquote1(mark(X))) active#(unquote1(cons1(X,Z))) -> mark#(fcons(unquote(X),unquote1(Z))) mark#(unquote1(X)) -> mark#(X) mark#(unquote(X)) -> active#(unquote(mark(X))) active#(unquote(s1(X))) -> mark#(s(unquote(X))) mark#(s(X)) -> mark#(X) mark#(unquote(X)) -> mark#(X) mark#(s1(X)) -> mark#(X) mark#(quote1(X)) -> active#(quote1(X)) active#(quote1(first(X,Z))) -> mark#(first1(X,Z)) mark#(first1(X1,X2)) -> active#(first1(mark(X1),mark(X2))) active#(first1(s(X),cons(Y,Z))) -> mark#(cons1(quote(Y),first1(X,Z))) mark#(cons1(X1,X2)) -> mark#(X1) mark#(cons1(X1,X2)) -> mark#(X2) mark#(first1(X1,X2)) -> mark#(X1) mark#(first1(X1,X2)) -> mark#(X2) mark#(quote(X)) -> active#(quote(X)) active#(quote(sel(X,Z))) -> mark#(sel1(X,Z)) mark#(sel1(X1,X2)) -> active#(sel1(mark(X1),mark(X2))) active#(sel1(0(),cons(X,Z))) -> mark#(quote(X)) active#(sel1(s(X),cons(Y,Z))) -> mark#(sel1(X,Z)) mark#(sel1(X1,X2)) -> mark#(X1) mark#(sel1(X1,X2)) -> mark#(X2) mark#(from(X)) -> active#(from(mark(X))) active#(from(X)) -> mark#(cons(X,from(s(X)))) mark#(from(X)) -> mark#(X) mark#(first(X1,X2)) -> active#(first(mark(X1),mark(X2))) active#(first(s(X),cons(Y,Z))) -> mark#(cons(Y,first(X,Z))) mark#(first(X1,X2)) -> mark#(X1) mark#(first(X1,X2)) -> mark#(X2) mark#(sel(X1,X2)) -> active#(sel(mark(X1),mark(X2))) active#(sel(0(),cons(X,Z))) -> mark#(X) mark#(sel(X1,X2)) -> mark#(X1) mark#(sel(X1,X2)) -> mark#(X2) active#(sel(s(X),cons(Y,Z))) -> mark#(sel(X,Z)) active#(quote(s(X))) -> mark#(s1(quote(X))) active#(quote1(cons(X,Z))) -> mark#(cons1(quote(X),quote1(Z))) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: sel#(X1,active(X2)) -> sel#(X1,X2) sel#(active(X1),X2) -> sel#(X1,X2) sel#(X1,mark(X2)) -> sel#(X1,X2) sel#(mark(X1),X2) -> sel#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: first#(mark(X1),X2) -> first#(X1,X2) first#(X1,active(X2)) -> first#(X1,X2) first#(active(X1),X2) -> first#(X1,X2) first#(X1,mark(X2)) -> first#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: cons#(mark(X1),X2) -> cons#(X1,X2) cons#(X1,active(X2)) -> cons#(X1,X2) cons#(active(X1),X2) -> cons#(X1,X2) cons#(X1,mark(X2)) -> cons#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: s#(mark(X)) -> s#(X) s#(active(X)) -> s#(X) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: from#(mark(X)) -> from#(X) from#(active(X)) -> from#(X) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: sel1#(mark(X1),X2) -> sel1#(X1,X2) sel1#(X1,active(X2)) -> sel1#(X1,X2) sel1#(active(X1),X2) -> sel1#(X1,X2) sel1#(X1,mark(X2)) -> sel1#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: quote#(mark(X)) -> quote#(X) quote#(active(X)) -> quote#(X) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: first1#(mark(X1),X2) -> first1#(X1,X2) first1#(X1,active(X2)) -> first1#(X1,X2) first1#(active(X1),X2) -> first1#(X1,X2) first1#(X1,mark(X2)) -> first1#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: cons1#(mark(X1),X2) -> cons1#(X1,X2) cons1#(X1,active(X2)) -> cons1#(X1,X2) cons1#(active(X1),X2) -> cons1#(X1,X2) cons1#(X1,mark(X2)) -> cons1#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: quote1#(mark(X)) -> quote1#(X) quote1#(active(X)) -> quote1#(X) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: s1#(mark(X)) -> s1#(X) s1#(active(X)) -> s1#(X) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: unquote#(mark(X)) -> unquote#(X) unquote#(active(X)) -> unquote#(X) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: unquote1#(mark(X)) -> unquote1#(X) unquote1#(active(X)) -> unquote1#(X) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open DPs: fcons#(mark(X1),X2) -> fcons#(X1,X2) fcons#(X1,active(X2)) -> fcons#(X1,X2) fcons#(active(X1),X2) -> fcons#(X1,X2) fcons#(X1,mark(X2)) -> fcons#(X1,X2) TRS: active(sel(s(X),cons(Y,Z))) -> mark(sel(X,Z)) active(sel(0(),cons(X,Z))) -> mark(X) active(first(0(),Z)) -> mark(nil()) active(first(s(X),cons(Y,Z))) -> mark(cons(Y,first(X,Z))) active(from(X)) -> mark(cons(X,from(s(X)))) active(sel1(s(X),cons(Y,Z))) -> mark(sel1(X,Z)) active(sel1(0(),cons(X,Z))) -> mark(quote(X)) active(first1(0(),Z)) -> mark(nil1()) active(first1(s(X),cons(Y,Z))) -> mark(cons1(quote(Y),first1(X,Z))) active(quote(0())) -> mark(01()) active(quote1(cons(X,Z))) -> mark(cons1(quote(X),quote1(Z))) active(quote1(nil())) -> mark(nil1()) active(quote(s(X))) -> mark(s1(quote(X))) active(quote(sel(X,Z))) -> mark(sel1(X,Z)) active(quote1(first(X,Z))) -> mark(first1(X,Z)) active(unquote(01())) -> mark(0()) active(unquote(s1(X))) -> mark(s(unquote(X))) active(unquote1(nil1())) -> mark(nil()) active(unquote1(cons1(X,Z))) -> mark(fcons(unquote(X),unquote1(Z))) active(fcons(X,Z)) -> mark(cons(X,Z)) mark(sel(X1,X2)) -> active(sel(mark(X1),mark(X2))) mark(s(X)) -> active(s(mark(X))) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0()) -> active(0()) mark(first(X1,X2)) -> active(first(mark(X1),mark(X2))) mark(nil()) -> active(nil()) mark(from(X)) -> active(from(mark(X))) mark(sel1(X1,X2)) -> active(sel1(mark(X1),mark(X2))) mark(quote(X)) -> active(quote(X)) mark(first1(X1,X2)) -> active(first1(mark(X1),mark(X2))) mark(nil1()) -> active(nil1()) mark(cons1(X1,X2)) -> active(cons1(mark(X1),mark(X2))) mark(01()) -> active(01()) mark(quote1(X)) -> active(quote1(X)) mark(s1(X)) -> active(s1(mark(X))) mark(unquote(X)) -> active(unquote(mark(X))) mark(unquote1(X)) -> active(unquote1(mark(X))) mark(fcons(X1,X2)) -> active(fcons(mark(X1),mark(X2))) 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) s(mark(X)) -> s(X) s(active(X)) -> s(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) first(mark(X1),X2) -> first(X1,X2) first(X1,mark(X2)) -> first(X1,X2) first(active(X1),X2) -> first(X1,X2) first(X1,active(X2)) -> first(X1,X2) from(mark(X)) -> from(X) from(active(X)) -> from(X) sel1(mark(X1),X2) -> sel1(X1,X2) sel1(X1,mark(X2)) -> sel1(X1,X2) sel1(active(X1),X2) -> sel1(X1,X2) sel1(X1,active(X2)) -> sel1(X1,X2) quote(mark(X)) -> quote(X) quote(active(X)) -> quote(X) first1(mark(X1),X2) -> first1(X1,X2) first1(X1,mark(X2)) -> first1(X1,X2) first1(active(X1),X2) -> first1(X1,X2) first1(X1,active(X2)) -> first1(X1,X2) cons1(mark(X1),X2) -> cons1(X1,X2) cons1(X1,mark(X2)) -> cons1(X1,X2) cons1(active(X1),X2) -> cons1(X1,X2) cons1(X1,active(X2)) -> cons1(X1,X2) quote1(mark(X)) -> quote1(X) quote1(active(X)) -> quote1(X) s1(mark(X)) -> s1(X) s1(active(X)) -> s1(X) unquote(mark(X)) -> unquote(X) unquote(active(X)) -> unquote(X) unquote1(mark(X)) -> unquote1(X) unquote1(active(X)) -> unquote1(X) fcons(mark(X1),X2) -> fcons(X1,X2) fcons(X1,mark(X2)) -> fcons(X1,X2) fcons(active(X1),X2) -> fcons(X1,X2) fcons(X1,active(X2)) -> fcons(X1,X2) Open