MAYBE 239.40/60.62 MAYBE 239.40/60.62 239.40/60.62 Problem: 239.40/60.62 active(zeros()) -> mark(cons(0(),zeros())) 239.40/60.62 active(U11(tt(),L)) -> mark(U12(tt(),L)) 239.40/60.62 active(U12(tt(),L)) -> mark(s(length(L))) 239.40/60.62 active(U21(tt(),IL,M,N)) -> mark(U22(tt(),IL,M,N)) 239.40/60.62 active(U22(tt(),IL,M,N)) -> mark(U23(tt(),IL,M,N)) 239.40/60.62 active(U23(tt(),IL,M,N)) -> mark(cons(N,take(M,IL))) 239.40/60.62 active(length(nil())) -> mark(0()) 239.40/60.62 active(length(cons(N,L))) -> mark(U11(tt(),L)) 239.40/60.62 active(take(0(),IL)) -> mark(nil()) 239.40/60.62 active(take(s(M),cons(N,IL))) -> mark(U21(tt(),IL,M,N)) 239.40/60.62 active(cons(X1,X2)) -> cons(active(X1),X2) 239.40/60.62 active(U11(X1,X2)) -> U11(active(X1),X2) 239.40/60.62 active(U12(X1,X2)) -> U12(active(X1),X2) 239.40/60.62 active(s(X)) -> s(active(X)) 239.40/60.62 active(length(X)) -> length(active(X)) 239.40/60.62 active(U21(X1,X2,X3,X4)) -> U21(active(X1),X2,X3,X4) 239.40/60.62 active(U22(X1,X2,X3,X4)) -> U22(active(X1),X2,X3,X4) 239.40/60.62 active(U23(X1,X2,X3,X4)) -> U23(active(X1),X2,X3,X4) 239.40/60.62 active(take(X1,X2)) -> take(active(X1),X2) 239.40/60.62 active(take(X1,X2)) -> take(X1,active(X2)) 239.40/60.62 cons(mark(X1),X2) -> mark(cons(X1,X2)) 239.40/60.62 U11(mark(X1),X2) -> mark(U11(X1,X2)) 239.40/60.62 U12(mark(X1),X2) -> mark(U12(X1,X2)) 239.40/60.62 s(mark(X)) -> mark(s(X)) 239.40/60.62 length(mark(X)) -> mark(length(X)) 239.40/60.62 U21(mark(X1),X2,X3,X4) -> mark(U21(X1,X2,X3,X4)) 239.40/60.62 U22(mark(X1),X2,X3,X4) -> mark(U22(X1,X2,X3,X4)) 239.40/60.62 U23(mark(X1),X2,X3,X4) -> mark(U23(X1,X2,X3,X4)) 239.40/60.62 take(mark(X1),X2) -> mark(take(X1,X2)) 239.40/60.62 take(X1,mark(X2)) -> mark(take(X1,X2)) 239.40/60.62 proper(zeros()) -> ok(zeros()) 239.40/60.62 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) 239.40/60.62 proper(0()) -> ok(0()) 239.40/60.62 proper(U11(X1,X2)) -> U11(proper(X1),proper(X2)) 239.40/60.62 proper(tt()) -> ok(tt()) 239.40/60.62 proper(U12(X1,X2)) -> U12(proper(X1),proper(X2)) 239.40/60.62 proper(s(X)) -> s(proper(X)) 239.40/60.62 proper(length(X)) -> length(proper(X)) 239.40/60.62 proper(U21(X1,X2,X3,X4)) -> U21(proper(X1),proper(X2),proper(X3),proper(X4)) 239.40/60.62 proper(U22(X1,X2,X3,X4)) -> U22(proper(X1),proper(X2),proper(X3),proper(X4)) 239.40/60.62 proper(U23(X1,X2,X3,X4)) -> U23(proper(X1),proper(X2),proper(X3),proper(X4)) 239.40/60.62 proper(take(X1,X2)) -> take(proper(X1),proper(X2)) 239.40/60.62 proper(nil()) -> ok(nil()) 239.40/60.62 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) 239.40/60.62 U11(ok(X1),ok(X2)) -> ok(U11(X1,X2)) 239.40/60.62 U12(ok(X1),ok(X2)) -> ok(U12(X1,X2)) 239.40/60.62 s(ok(X)) -> ok(s(X)) 239.40/60.62 length(ok(X)) -> ok(length(X)) 239.40/60.62 U21(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U21(X1,X2,X3,X4)) 239.40/60.62 U22(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U22(X1,X2,X3,X4)) 239.40/60.62 U23(ok(X1),ok(X2),ok(X3),ok(X4)) -> ok(U23(X1,X2,X3,X4)) 239.40/60.62 take(ok(X1),ok(X2)) -> ok(take(X1,X2)) 239.40/60.62 top(mark(X)) -> top(proper(X)) 239.40/60.62 top(ok(X)) -> top(active(X)) 239.40/60.62 239.40/60.62 Proof: 239.40/60.62 Open 239.40/60.63 EOF