MAYBE 238.63/60.46 MAYBE 238.63/60.47 238.63/60.47 Problem: 238.63/60.47 active(zeros()) -> mark(cons(0(),zeros())) 238.63/60.47 active(and(tt(),X)) -> mark(X) 238.63/60.47 active(length(nil())) -> mark(0()) 238.63/60.47 active(length(cons(N,L))) -> mark(s(length(L))) 238.63/60.47 active(take(0(),IL)) -> mark(nil()) 238.63/60.47 active(take(s(M),cons(N,IL))) -> mark(cons(N,take(M,IL))) 238.63/60.47 active(cons(X1,X2)) -> cons(active(X1),X2) 238.63/60.47 active(and(X1,X2)) -> and(active(X1),X2) 238.63/60.47 active(length(X)) -> length(active(X)) 238.63/60.47 active(s(X)) -> s(active(X)) 238.63/60.47 active(take(X1,X2)) -> take(active(X1),X2) 238.63/60.47 active(take(X1,X2)) -> take(X1,active(X2)) 238.63/60.47 cons(mark(X1),X2) -> mark(cons(X1,X2)) 238.63/60.47 and(mark(X1),X2) -> mark(and(X1,X2)) 238.63/60.47 length(mark(X)) -> mark(length(X)) 238.63/60.47 s(mark(X)) -> mark(s(X)) 238.63/60.47 take(mark(X1),X2) -> mark(take(X1,X2)) 238.63/60.47 take(X1,mark(X2)) -> mark(take(X1,X2)) 238.63/60.47 proper(zeros()) -> ok(zeros()) 238.63/60.47 proper(cons(X1,X2)) -> cons(proper(X1),proper(X2)) 238.63/60.47 proper(0()) -> ok(0()) 238.63/60.47 proper(and(X1,X2)) -> and(proper(X1),proper(X2)) 238.63/60.47 proper(tt()) -> ok(tt()) 238.63/60.47 proper(length(X)) -> length(proper(X)) 238.63/60.47 proper(nil()) -> ok(nil()) 238.63/60.47 proper(s(X)) -> s(proper(X)) 238.63/60.47 proper(take(X1,X2)) -> take(proper(X1),proper(X2)) 238.63/60.47 cons(ok(X1),ok(X2)) -> ok(cons(X1,X2)) 238.63/60.47 and(ok(X1),ok(X2)) -> ok(and(X1,X2)) 238.63/60.47 length(ok(X)) -> ok(length(X)) 238.63/60.47 s(ok(X)) -> ok(s(X)) 238.63/60.47 take(ok(X1),ok(X2)) -> ok(take(X1,X2)) 238.63/60.47 top(mark(X)) -> top(proper(X)) 238.63/60.47 top(ok(X)) -> top(active(X)) 238.63/60.47 238.63/60.47 Proof: 238.63/60.47 Open 238.63/60.47 EOF