Marked_topMarked_eqconslengthMarked_takeeqokMarked_infsnilMarked_propertruetopMarked_sfalsetakeMarked_lengthactiveproperMarked_cons0infMarked_activemarkX2X1LYXactive(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_active(eq(s(X),s(Y)))Marked_eq(X,Y)Marked_active(inf(X))Marked_cons(X,inf(s(X)))Marked_active(inf(X))Marked_inf(s(X))Marked_active(inf(X))Marked_s(X)Marked_active(take(s(X),cons(Y,L)))Marked_cons(Y,take(X,L))Marked_active(take(s(X),cons(Y,L)))Marked_take(X,L)Marked_active(length(cons(X,L)))Marked_s(length(L))Marked_active(length(cons(X,L)))Marked_length(L)Marked_active(inf(X))Marked_inf(active(X))Marked_active(inf(X))Marked_active(X)Marked_active(take(X1,X2))Marked_take(active(X1),X2)Marked_active(take(X1,X2))Marked_active(X1)Marked_active(take(X1,X2))Marked_take(X1,active(X2))Marked_active(take(X1,X2))Marked_active(X2)Marked_active(length(X))Marked_length(active(X))Marked_active(length(X))Marked_active(X)Marked_inf(mark(X))Marked_inf(X)Marked_take(mark(X1),X2)Marked_take(X1,X2)Marked_take(X1,mark(X2))Marked_take(X1,X2)Marked_length(mark(X))Marked_length(X)Marked_proper(eq(X1,X2))Marked_eq(proper(X1),proper(X2))Marked_proper(eq(X1,X2))Marked_proper(X1)Marked_proper(eq(X1,X2))Marked_proper(X2)Marked_proper(s(X))Marked_s(proper(X))Marked_proper(s(X))Marked_proper(X)Marked_proper(inf(X))Marked_inf(proper(X))Marked_proper(inf(X))Marked_proper(X)Marked_proper(cons(X1,X2))Marked_cons(proper(X1),proper(X2))Marked_proper(cons(X1,X2))Marked_proper(X1)Marked_proper(cons(X1,X2))Marked_proper(X2)Marked_proper(take(X1,X2))Marked_take(proper(X1),proper(X2))Marked_proper(take(X1,X2))Marked_proper(X1)Marked_proper(take(X1,X2))Marked_proper(X2)Marked_proper(length(X))Marked_length(proper(X))Marked_proper(length(X))Marked_proper(X)Marked_eq(ok(X1),ok(X2))Marked_eq(X1,X2)Marked_s(ok(X))Marked_s(X)Marked_inf(ok(X))Marked_inf(X)Marked_cons(ok(X1),ok(X2))Marked_cons(X1,X2)Marked_take(ok(X1),ok(X2))Marked_take(X1,X2)Marked_length(ok(X))Marked_length(X)Marked_top(mark(X))Marked_top(proper(X))Marked_top(mark(X))Marked_proper(X)Marked_top(ok(X))Marked_top(active(X))Marked_top(ok(X))Marked_active(X)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_top(mark(X))Marked_top(proper(X))Marked_top(ok(X))Marked_top(active(X))mark100000000100000000000000000inf1000000001000000000000000000000000000000000000proper000000000100010000000000000active000011001100000000000000000take100000000100000000100000000000000000false000000000000000000top000000000000000000000000000true000000000000000000nil000000000000000000s010000000000010000000000000ok000000000100010000000000000eq100000000000000000000100000000000000length100000000100000000000000000cons000000000000000000000000000000000000Marked_top000000000100000000000000000Marked_top(mark(X))Marked_top(proper(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_top(ok(X))Marked_top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_top(ok(X))Marked_top(active(X))mark0inf32000proper320active20take10false0top0true0nil0s320ok320eq320length320cons320Marked_top20active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_proper(eq(X1,X2))Marked_proper(X1)Marked_proper(eq(X1,X2))Marked_proper(X2)Marked_proper(s(X))Marked_proper(X)Marked_proper(inf(X))Marked_proper(X)Marked_proper(cons(X1,X2))Marked_proper(X1)Marked_proper(cons(X1,X2))Marked_proper(X2)Marked_proper(take(X1,X2))Marked_proper(X1)Marked_proper(take(X1,X2))Marked_proper(X2)Marked_proper(length(X))Marked_proper(X)Marked_proper1Marked_proper(length(X))Marked_proper(X)Marked_proper(take(X1,X2))Marked_proper(X2)Marked_proper(take(X1,X2))Marked_proper(X1)Marked_proper(cons(X1,X2))Marked_proper(X2)Marked_proper(cons(X1,X2))Marked_proper(X1)Marked_proper(inf(X))Marked_proper(X)Marked_proper(s(X))Marked_proper(X)Marked_proper(eq(X1,X2))Marked_proper(X2)Marked_proper(eq(X1,X2))Marked_proper(X1)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_active(inf(X))Marked_active(X)Marked_active(take(X1,X2))Marked_active(X1)Marked_active(take(X1,X2))Marked_active(X2)Marked_active(length(X))Marked_active(X)Marked_active1Marked_active(length(X))Marked_active(X)Marked_active(take(X1,X2))Marked_active(X2)Marked_active(take(X1,X2))Marked_active(X1)Marked_active(inf(X))Marked_active(X)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_eq(ok(X1),ok(X2))Marked_eq(X1,X2)Marked_eq1Marked_eq(ok(X1),ok(X2))Marked_eq(X1,X2)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_cons(ok(X1),ok(X2))Marked_cons(X1,X2)Marked_cons1Marked_cons(ok(X1),ok(X2))Marked_cons(X1,X2)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_s(ok(X))Marked_s(X)Marked_s1Marked_s(ok(X))Marked_s(X)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_inf(mark(X))Marked_inf(X)Marked_inf(ok(X))Marked_inf(X)Marked_inf1Marked_inf(ok(X))Marked_inf(X)Marked_inf(mark(X))Marked_inf(X)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_take(mark(X1),X2)Marked_take(X1,X2)Marked_take(X1,mark(X2))Marked_take(X1,X2)Marked_take(ok(X1),ok(X2))Marked_take(X1,X2)Marked_take2Marked_take(ok(X1),ok(X2))Marked_take(X1,X2)Marked_take(X1,mark(X2))Marked_take(X1,X2)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_take(mark(X1),X2)Marked_take(X1,X2)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_take(mark(X1),X2)Marked_take(X1,X2)Marked_take1Marked_take(mark(X1),X2)Marked_take(X1,X2)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))Marked_length(mark(X))Marked_length(X)Marked_length(ok(X))Marked_length(X)Marked_length1Marked_length(ok(X))Marked_length(X)Marked_length(mark(X))Marked_length(X)active(eq(0,0))mark(true)active(eq(s(X),s(Y)))mark(eq(X,Y))active(eq(X,Y))mark(false)active(inf(X))mark(cons(X,inf(s(X))))active(take(0,X))mark(nil)active(take(s(X),cons(Y,L)))mark(cons(Y,take(X,L)))active(length(nil))mark(0)active(length(cons(X,L)))mark(s(length(L)))active(inf(X))inf(active(X))active(take(X1,X2))take(active(X1),X2)active(take(X1,X2))take(X1,active(X2))active(length(X))length(active(X))inf(mark(X))mark(inf(X))take(mark(X1),X2)mark(take(X1,X2))take(X1,mark(X2))mark(take(X1,X2))length(mark(X))mark(length(X))proper(eq(X1,X2))eq(proper(X1),proper(X2))proper(0)ok(0)proper(true)ok(true)proper(s(X))s(proper(X))proper(false)ok(false)proper(inf(X))inf(proper(X))proper(cons(X1,X2))cons(proper(X1),proper(X2))proper(take(X1,X2))take(proper(X1),proper(X2))proper(nil)ok(nil)proper(length(X))length(proper(X))eq(ok(X1),ok(X2))ok(eq(X1,X2))s(ok(X))ok(s(X))inf(ok(X))ok(inf(X))cons(ok(X1),ok(X2))ok(cons(X1,X2))take(ok(X1),ok(X2))ok(take(X1,X2))length(ok(X))ok(length(X))top(mark(X))top(proper(X))top(ok(X))top(active(X))