MAYBE 239.14/60.52 MAYBE 239.14/60.52 239.14/60.52 Problem: 239.14/60.52 active(zeros()) -> mark(cons(0(),zeros())) 239.14/60.52 active(U11(tt(),L)) -> mark(U12(tt(),L)) 239.14/60.52 active(U12(tt(),L)) -> mark(s(length(L))) 239.14/60.52 active(U21(tt(),IL,M,N)) -> mark(U22(tt(),IL,M,N)) 239.14/60.52 active(U22(tt(),IL,M,N)) -> mark(U23(tt(),IL,M,N)) 239.14/60.52 active(U23(tt(),IL,M,N)) -> mark(cons(N,take(M,IL))) 239.14/60.52 active(length(nil())) -> mark(0()) 239.14/60.52 active(length(cons(N,L))) -> mark(U11(tt(),L)) 239.14/60.52 active(take(0(),IL)) -> mark(nil()) 239.14/60.52 active(take(s(M),cons(N,IL))) -> mark(U21(tt(),IL,M,N)) 239.14/60.52 mark(zeros()) -> active(zeros()) 239.14/60.52 mark(cons(X1,X2)) -> active(cons(mark(X1),X2)) 239.14/60.52 mark(0()) -> active(0()) 239.14/60.52 mark(U11(X1,X2)) -> active(U11(mark(X1),X2)) 239.14/60.52 mark(tt()) -> active(tt()) 239.14/60.52 mark(U12(X1,X2)) -> active(U12(mark(X1),X2)) 239.14/60.52 mark(s(X)) -> active(s(mark(X))) 239.14/60.52 mark(length(X)) -> active(length(mark(X))) 239.14/60.52 mark(U21(X1,X2,X3,X4)) -> active(U21(mark(X1),X2,X3,X4)) 239.14/60.52 mark(U22(X1,X2,X3,X4)) -> active(U22(mark(X1),X2,X3,X4)) 239.14/60.52 mark(U23(X1,X2,X3,X4)) -> active(U23(mark(X1),X2,X3,X4)) 239.14/60.52 mark(take(X1,X2)) -> active(take(mark(X1),mark(X2))) 239.14/60.52 mark(nil()) -> active(nil()) 239.14/60.52 cons(mark(X1),X2) -> cons(X1,X2) 239.14/60.52 cons(X1,mark(X2)) -> cons(X1,X2) 239.14/60.52 cons(active(X1),X2) -> cons(X1,X2) 239.14/60.52 cons(X1,active(X2)) -> cons(X1,X2) 239.14/60.52 U11(mark(X1),X2) -> U11(X1,X2) 239.14/60.52 U11(X1,mark(X2)) -> U11(X1,X2) 239.14/60.52 U11(active(X1),X2) -> U11(X1,X2) 239.14/60.52 U11(X1,active(X2)) -> U11(X1,X2) 239.14/60.52 U12(mark(X1),X2) -> U12(X1,X2) 239.14/60.52 U12(X1,mark(X2)) -> U12(X1,X2) 239.14/60.52 U12(active(X1),X2) -> U12(X1,X2) 239.14/60.52 U12(X1,active(X2)) -> U12(X1,X2) 239.14/60.52 s(mark(X)) -> s(X) 239.14/60.52 s(active(X)) -> s(X) 239.14/60.52 length(mark(X)) -> length(X) 239.14/60.52 length(active(X)) -> length(X) 239.14/60.52 U21(mark(X1),X2,X3,X4) -> U21(X1,X2,X3,X4) 239.14/60.52 U21(X1,mark(X2),X3,X4) -> U21(X1,X2,X3,X4) 239.14/60.52 U21(X1,X2,mark(X3),X4) -> U21(X1,X2,X3,X4) 239.14/60.52 U21(X1,X2,X3,mark(X4)) -> U21(X1,X2,X3,X4) 239.14/60.52 U21(active(X1),X2,X3,X4) -> U21(X1,X2,X3,X4) 239.14/60.52 U21(X1,active(X2),X3,X4) -> U21(X1,X2,X3,X4) 239.14/60.52 U21(X1,X2,active(X3),X4) -> U21(X1,X2,X3,X4) 239.14/60.52 U21(X1,X2,X3,active(X4)) -> U21(X1,X2,X3,X4) 239.14/60.52 U22(mark(X1),X2,X3,X4) -> U22(X1,X2,X3,X4) 239.14/60.52 U22(X1,mark(X2),X3,X4) -> U22(X1,X2,X3,X4) 239.14/60.52 U22(X1,X2,mark(X3),X4) -> U22(X1,X2,X3,X4) 239.14/60.52 U22(X1,X2,X3,mark(X4)) -> U22(X1,X2,X3,X4) 239.14/60.52 U22(active(X1),X2,X3,X4) -> U22(X1,X2,X3,X4) 239.14/60.52 U22(X1,active(X2),X3,X4) -> U22(X1,X2,X3,X4) 239.14/60.52 U22(X1,X2,active(X3),X4) -> U22(X1,X2,X3,X4) 239.14/60.52 U22(X1,X2,X3,active(X4)) -> U22(X1,X2,X3,X4) 239.14/60.52 U23(mark(X1),X2,X3,X4) -> U23(X1,X2,X3,X4) 239.14/60.52 U23(X1,mark(X2),X3,X4) -> U23(X1,X2,X3,X4) 239.14/60.52 U23(X1,X2,mark(X3),X4) -> U23(X1,X2,X3,X4) 239.14/60.52 U23(X1,X2,X3,mark(X4)) -> U23(X1,X2,X3,X4) 239.14/60.52 U23(active(X1),X2,X3,X4) -> U23(X1,X2,X3,X4) 239.14/60.52 U23(X1,active(X2),X3,X4) -> U23(X1,X2,X3,X4) 239.14/60.52 U23(X1,X2,active(X3),X4) -> U23(X1,X2,X3,X4) 239.14/60.52 U23(X1,X2,X3,active(X4)) -> U23(X1,X2,X3,X4) 239.14/60.52 take(mark(X1),X2) -> take(X1,X2) 239.14/60.52 take(X1,mark(X2)) -> take(X1,X2) 239.14/60.52 take(active(X1),X2) -> take(X1,X2) 239.14/60.52 take(X1,active(X2)) -> take(X1,X2) 239.14/60.52 239.14/60.52 Proof: 239.14/60.52 Open 239.14/60.53 EOF