(VAR L IL M N X V1 V V2 X1 X2 X3 X4) (RULES active(zeros) -> mark(cons(0,zeros)) active(U11(tt,L)) -> mark(s(length(L))) active(U21(tt)) -> mark(nil) active(U31(tt,IL,M,N)) -> mark(cons(N,take(M,IL))) active(and(tt,X)) -> mark(X) active(isNat(0)) -> mark(tt) active(isNat(length(V1))) -> mark(isNatList(V1)) active(isNat(s(V1))) -> mark(isNat(V1)) active(isNatIList(V)) -> mark(isNatList(V)) active(isNatIList(zeros)) -> mark(tt) active(isNatIList(cons(V1,V2))) -> mark(and(isNat(V1),isNatIList(V2))) active(isNatList(nil)) -> mark(tt) active(isNatList(cons(V1,V2))) -> mark(and(isNat(V1),isNatList(V2))) active(isNatList(take(V1,V2))) -> mark(and(isNat(V1),isNatIList(V2))) active(length(nil)) -> mark(0) active(length(cons(N,L))) -> mark(U11(and(isNatList(L),isNat(N)),L)) active(take(0,IL)) -> mark(U21(isNatIList(IL))) active(take(s(M),cons(N,IL))) -> mark(U31(and(isNatIList(IL),and(isNat(M),isNat(N))),IL,M,N)) mark(zeros) -> active(zeros) mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) mark(0) -> active(0) mark(U11(X1,X2)) -> active(U11(mark(X1),X2)) mark(tt) -> active(tt) mark(s(X)) -> active(s(mark(X))) mark(length(X)) -> active(length(mark(X))) mark(U21(X)) -> active(U21(mark(X))) mark(nil) -> active(nil) mark(U31(X1,X2,X3,X4)) -> active(U31(mark(X1),X2,X3,X4)) mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) mark(and(X1,X2)) -> active(and(mark(X1),X2)) mark(isNat(X)) -> active(isNat(X)) mark(isNatList(X)) -> active(isNatList(X)) mark(isNatIList(X)) -> active(isNatIList(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) U11(mark(X1),X2) -> U11(X1,X2) U11(X1,mark(X2)) -> U11(X1,X2) U11(active(X1),X2) -> U11(X1,X2) U11(X1,active(X2)) -> U11(X1,X2) s(mark(X)) -> s(X) s(active(X)) -> s(X) length(mark(X)) -> length(X) length(active(X)) -> length(X) U21(mark(X)) -> U21(X) U21(active(X)) -> U21(X) U31(mark(X1),X2,X3,X4) -> U31(X1,X2,X3,X4) U31(X1,mark(X2),X3,X4) -> U31(X1,X2,X3,X4) U31(X1,X2,mark(X3),X4) -> U31(X1,X2,X3,X4) U31(X1,X2,X3,mark(X4)) -> U31(X1,X2,X3,X4) U31(active(X1),X2,X3,X4) -> U31(X1,X2,X3,X4) U31(X1,active(X2),X3,X4) -> U31(X1,X2,X3,X4) U31(X1,X2,active(X3),X4) -> U31(X1,X2,X3,X4) U31(X1,X2,X3,active(X4)) -> U31(X1,X2,X3,X4) take(mark(X1),X2) -> take(X1,X2) take(X1,mark(X2)) -> take(X1,X2) take(active(X1),X2) -> take(X1,X2) take(X1,active(X2)) -> take(X1,X2) and(mark(X1),X2) -> and(X1,X2) and(X1,mark(X2)) -> and(X1,X2) and(active(X1),X2) -> and(X1,X2) and(X1,active(X2)) -> and(X1,X2) isNat(mark(X)) -> isNat(X) isNat(active(X)) -> isNat(X) isNatList(mark(X)) -> isNatList(X) isNatList(active(X)) -> isNatList(X) isNatIList(mark(X)) -> isNatIList(X) isNatIList(active(X)) -> isNatIList(X) )