path: root/test/regress/regress2/ho/auth0068.smt2

; EXPECT: unsat
(set-logic HO_ALL)
(set-info :status unsat)
(declare-sort Msg$ 0)
(declare-sort Nat$ 0)
(declare-sort Agent$ 0)
(declare-sort Event$ 0)
(declare-sort Msg_set$ 0)
(declare-sort Msg_list$ 0)
(declare-sort Agent_set$ 0)
(declare-sort Event_set$ 0)
(declare-sort Agent_list$ 0)
(declare-sort Event_list$ 0)
(declare-sort Event_option$ 0)
(declare-sort Msg_list_set$ 0)
(declare-sort Agent_list_set$ 0)
(declare-sort Event_list_set$ 0)
(declare-sort Event_list_list$ 0)
(declare-fun p$ () (-> Event$ Bool))
(declare-fun uu$ ((-> Msg$ Bool) (-> Msg$ Bool) Msg$) Bool)
(declare-fun bad$ () Agent_set$)
(declare-fun nil$ () Event_list$)
(declare-fun set$ (Event_list$) Event_set$)
(declare-fun spy$ () Agent$)
(declare-fun uua$ (Event_set$ (-> Event$ Bool) Event$) Bool)
(declare-fun uub$ (Agent_set$ (-> Agent$ Bool) Agent$) Bool)
(declare-fun uuc$ (Msg_set$ (-> Msg$ Bool) Msg$) Bool)
(declare-fun uud$ (Event_set$ Event$) Bool)
(declare-fun uue$ (Agent_set$ Agent$) Bool)
(declare-fun uuf$ (Msg_set$ Msg$) Bool)
(declare-fun uug$ (Event$ Event_list$) Bool)
(declare-fun uuh$ (Event$ Event_list$) Bool)
(declare-fun uui$ ((-> Event$ Bool) Event$ Event$) Bool)
(declare-fun uuj$ (Event_list_set$ Event_list$ Event$) Bool)
(declare-fun uuk$ (Msg$ (-> Msg$ Bool) Msg$) Bool)
(declare-fun uul$ (Msg$ Msg_set$ Msg$) Bool)
(declare-fun uum$ (Event$ Event_set$ Event$) Bool)
(declare-fun uun$ (Agent$ Agent_set$ Agent$) Bool)
(declare-fun uuo$ (Event_list$ Agent$ Agent$ Msg$) Msg_set$)
(declare-fun uup$ (Event_list$ Agent$ Msg$) Msg_set$)
(declare-fun uuq$ (Event_list$ Agent$ Msg$) Msg_set$)
(declare-fun uur$ (Agent$ Event_list$ Agent$ Agent$ Msg$) Msg_set$)
(declare-fun uus$ (Agent$ Event_list$ Agent$ Msg$) Msg_set$)
(declare-fun bind$ (Event_list$ (-> Event$ Event_list$)) Event_list$)
(declare-fun cons$ (Event$ Event_list$) Event_list$)
(declare-fun gets$ (Agent$ Msg$) Event$)
(declare-fun maps$ ((-> Event$ Event_list$)) (-> Event_list$ Event_list$))
(declare-fun nil$a () Event_list_list$)
(declare-fun nil$b () Msg_list$)
(declare-fun nil$c () Agent_list$)
(declare-fun null$ (Event_list$) Bool)
(declare-fun says$ (Agent$ Agent$ Msg$) Event$)
(declare-fun set$a (Msg_list$) Msg_set$)
(declare-fun set$b (Agent_list$) Agent_set$)
(declare-fun succ$ (Event_list_set$ Event_list$) Event_set$)
(declare-fun cons$a (Event_list$ Event_list_list$) Event_list_list$)
(declare-fun cons$b (Msg$ Msg_list$) Msg_list$)
(declare-fun cons$c (Agent$ Agent_list$) Agent_list$)
(declare-fun knows$ (Agent$ Event_list$) Msg_set$)
(declare-fun notes$ (Agent$ Msg$) Event$)
(declare-fun succ$a (Msg_list_set$ Msg_list$) Msg_set$)
(declare-fun succ$b (Agent_list_set$ Agent_list$) Agent_set$)
(declare-fun append$ (Event_list$ Event_list$) Event_list$)
(declare-fun insert$ (Msg$ Msg_set$) Msg_set$)
(declare-fun member$ (Agent$ Agent_set$) Bool)
(declare-fun splice$ (Event_list$) (-> Event_list$ Event_list$))
(declare-fun append$a (Msg_list$ Msg_list$) Msg_list$)
(declare-fun append$b (Agent_list$ Agent_list$) Agent_list$)
(declare-fun collect$ ((-> Msg$ Bool)) Msg_set$)
(declare-fun insert$a (Event$) (-> Event_list$ Event_list$))
(declare-fun insert$b (Event$ Event_set$) Event_set$)
(declare-fun insert$c (Agent$ Agent_set$) Agent_set$)
(declare-fun insert$d (Msg$ Msg_list$) Msg_list$)
(declare-fun insert$e (Agent$ Agent_list$) Agent_list$)
(declare-fun less_eq$ (Msg_set$ Msg_set$) Bool)
(declare-fun list_ex$ ((-> Event$ Bool)) (-> Event_list$ Bool))
(declare-fun member$a (Msg$ Msg_set$) Bool)
(declare-fun member$b (Event$ Event_set$) Bool)
(declare-fun member$c (Event_list$ Event_list_set$) Bool)
(declare-fun member$d (Event_list$ Event$) Bool)
(declare-fun member$e (Msg_list$ Msg_list_set$) Bool)
(declare-fun member$f (Agent_list$ Agent_list_set$) Bool)
(declare-fun member$g (Msg_list$ Msg$) Bool)
(declare-fun member$h (Agent_list$ Agent$) Bool)
(declare-fun rotate1$ (Event_list$) Event_list$)
(declare-fun subseqs$ (Event_list$) Event_list_list$)
(declare-fun antimono$ ((-> Msg_set$ Msg_set$)) Bool)
(declare-fun collect$a ((-> Event$ Bool)) Event_set$)
(declare-fun collect$b ((-> Agent$ Bool)) Agent_set$)
(declare-fun greatest$ ((-> Msg_set$ Bool)) Msg_set$)
(declare-fun less_eq$a (Event_set$ Event_set$) Bool)
(declare-fun less_eq$b (Agent_set$ Agent_set$) Bool)
(declare-fun less_eq$c ((-> Event$ Bool) (-> Event$ Bool)) Bool)
(declare-fun less_eq$d ((-> Agent$ Bool) (-> Agent$ Bool)) Bool)
(declare-fun less_eq$e ((-> Msg$ Bool) (-> Msg$ Bool)) Bool)
(declare-fun less_eq$f ((-> Bool Msg_set$) (-> Bool Msg_set$)) Bool)
(declare-fun list_all$ ((-> Event$ Bool) Event_list$) Bool)
(declare-fun list_ex$a ((-> Msg$ Bool) Msg_list$) Bool)
(declare-fun list_ex$b ((-> Agent$ Bool) Agent_list$) Bool)
(declare-fun list_ex1$ ((-> Event$ Bool)) (-> Event_list$ Bool))
(declare-fun case_list$ (Bool (-> Event$ (-> Event_list$ Bool)) Event_list$) Bool)
(declare-fun initState$ (Agent$) Msg_set$)
(declare-fun list_all$a ((-> Msg$ Bool) Msg_list$) Bool)
(declare-fun list_all$b ((-> Agent$ Bool) Agent_list$) Bool)
(declare-fun list_ex1$a ((-> Msg$ Bool) Msg_list$) Bool)
(declare-fun list_ex1$b ((-> Agent$ Bool) Agent_list$) Bool)
(declare-fun takeWhile$ ((-> Event$ Bool) Event_list$) Event_list$)
(declare-fun case_event$ ((-> Agent$ (-> Agent$ (-> Msg$ Msg_set$))) (-> Agent$ (-> Msg$ Msg_set$)) (-> Agent$ (-> Msg$ Msg_set$)) Event$) Msg_set$)
(declare-fun gen_length$ (Nat$) (-> Event_list$ Nat$))
(declare-fun map_filter$ ((-> Event$ Event_option$)) (-> Event_list$ Event_list$))
(declare-fun takeWhile$a ((-> Msg$ Bool) Msg_list$) Msg_list$)
(declare-fun takeWhile$b ((-> Agent$ Bool) Agent_list$) Agent_list$)
(declare-fun product_lists$ (Event_list_list$) Event_list_list$)
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent$)) (! (= (uue$ ?v0 ?v1) (member$ ?v1 ?v0)) :pattern ((uue$ ?v0 ?v1)))) :named a0))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg$)) (! (= (uuf$ ?v0 ?v1) (member$a ?v1 ?v0)) :pattern ((uuf$ ?v0 ?v1)))) :named a1))
(assert (! (forall ((?v0 Event_set$) (?v1 Event$)) (! (= (uud$ ?v0 ?v1) (member$b ?v1 ?v0)) :pattern ((uud$ ?v0 ?v1)))) :named a2))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Msg$)) (! (= (uuq$ ?v0 ?v1 ?v2) (ite (member$ ?v1 bad$) (insert$ ?v2 (knows$ spy$ ?v0)) (knows$ spy$ ?v0))) :pattern ((uuq$ ?v0 ?v1 ?v2)))) :named a3))
(assert (! (forall ((?v0 Event_list_set$) (?v1 Event_list$) (?v2 Event$)) (! (= (uuj$ ?v0 ?v1 ?v2) (member$c (append$ ?v1 (cons$ ?v2 nil$)) ?v0)) :pattern ((uuj$ ?v0 ?v1 ?v2)))) :named a4))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent$)) (! (= (uun$ ?v0 ?v1 ?v2) (or (= ?v2 ?v0) (member$ ?v2 ?v1))) :pattern ((uun$ ?v0 ?v1 ?v2)))) :named a5))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg$)) (! (= (uul$ ?v0 ?v1 ?v2) (or (= ?v2 ?v0) (member$a ?v2 ?v1))) :pattern ((uul$ ?v0 ?v1 ?v2)))) :named a6))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event$)) (! (= (uum$ ?v0 ?v1 ?v2) (or (= ?v2 ?v0) (member$b ?v2 ?v1))) :pattern ((uum$ ?v0 ?v1 ?v2)))) :named a7))
(assert (! (forall ((?v0 Agent_set$) (?v1 (-> Agent$ Bool)) (?v2 Agent$)) (! (= (uub$ ?v0 ?v1 ?v2) (and (member$ ?v2 ?v0) (?v1 ?v2))) :pattern ((uub$ ?v0 ?v1 ?v2)))) :named a8))
(assert (! (forall ((?v0 Msg_set$) (?v1 (-> Msg$ Bool)) (?v2 Msg$)) (! (= (uuc$ ?v0 ?v1 ?v2) (and (member$a ?v2 ?v0) (?v1 ?v2))) :pattern ((uuc$ ?v0 ?v1 ?v2)))) :named a9))
(assert (! (forall ((?v0 Event_set$) (?v1 (-> Event$ Bool)) (?v2 Event$)) (! (= (uua$ ?v0 ?v1 ?v2) (and (member$b ?v2 ?v0) (?v1 ?v2))) :pattern ((uua$ ?v0 ?v1 ?v2)))) :named a10))
(assert (! (forall ((?v0 (-> Msg$ Bool)) (?v1 (-> Msg$ Bool)) (?v2 Msg$)) (! (= (uu$ ?v0 ?v1 ?v2) (and (?v0 ?v2) (?v1 ?v2))) :pattern ((uu$ ?v0 ?v1 ?v2)))) :named a11))
(assert (! (forall ((?v0 Msg$) (?v1 (-> Msg$ Bool)) (?v2 Msg$)) (! (= (uuk$ ?v0 ?v1 ?v2) (=> (not (= ?v2 ?v0)) (?v1 ?v2))) :pattern ((uuk$ ?v0 ?v1 ?v2)))) :named a12))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event$) (?v2 Event$)) (! (= (uui$ ?v0 ?v1 ?v2) (or (not (?v0 ?v2)) (= ?v1 ?v2))) :pattern ((uui$ ?v0 ?v1 ?v2)))) :named a13))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Msg$)) (! (= (uup$ ?v0 ?v1 ?v2) (knows$ spy$ ?v0)) :pattern ((uup$ ?v0 ?v1 ?v2)))) :named a14))
(assert (! (forall ((?v0 Agent$) (?v1 Event_list$) (?v2 Agent$) (?v3 Msg$)) (! (= (uus$ ?v0 ?v1 ?v2 ?v3) (ite (= ?v2 ?v0) (insert$ ?v3 (knows$ ?v0 ?v1)) (knows$ ?v0 ?v1))) :pattern ((uus$ ?v0 ?v1 ?v2 ?v3)))) :named a15))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Agent$) (?v3 Msg$)) (! (= (uuo$ ?v0 ?v1 ?v2 ?v3) (insert$ ?v3 (knows$ spy$ ?v0))) :pattern ((uuo$ ?v0 ?v1 ?v2 ?v3)))) :named a16))
(assert (! (forall ((?v0 Agent$) (?v1 Event_list$) (?v2 Agent$) (?v3 Agent$) (?v4 Msg$)) (! (= (uur$ ?v0 ?v1 ?v2 ?v3 ?v4) (ite (= ?v2 ?v0) (insert$ ?v4 (knows$ ?v0 ?v1)) (knows$ ?v0 ?v1))) :pattern ((uur$ ?v0 ?v1 ?v2 ?v3 ?v4)))) :named a17))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (! (= (uug$ ?v0 ?v1) false) :pattern ((uug$ ?v0 ?v1)))) :named a18))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (! (= (uuh$ ?v0 ?v1) true) :pattern ((uuh$ ?v0 ?v1)))) :named a19))
(assert (! (not (less_eq$ (knows$ spy$ (takeWhile$ p$ nil$)) (knows$ spy$ nil$))) :named a20))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event_list$)) (= (takeWhile$ ?v0 (takeWhile$ ?v0 ?v1)) (takeWhile$ ?v0 ?v1))) :named a21))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$)) (=> (forall ((?v2 Event$)) (=> (member$b ?v2 ?v0) (member$b ?v2 ?v1))) (less_eq$a ?v0 ?v1))) :named a22))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$)) (=> (forall ((?v2 Agent$)) (=> (member$ ?v2 ?v0) (member$ ?v2 ?v1))) (less_eq$b ?v0 ?v1))) :named a23))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (forall ((?v2 Msg$)) (=> (member$a ?v2 ?v0) (member$a ?v2 ?v1))) (less_eq$ ?v0 ?v1))) :named a24))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v0)) (= ?v0 ?v1))) :named a25))
(assert (! (forall ((?v0 Msg_set$)) (less_eq$ ?v0 ?v0)) :named a26))
(assert (! (forall ((?v0 (-> Event$ Bool))) (! (= (takeWhile$ ?v0 nil$) nil$) :pattern ((takeWhile$ ?v0)))) :named a27))
(assert (! (forall ((?v0 Msg_set$) (?v1 (-> Msg$ Bool)) (?v2 (-> Msg$ Bool))) (= (less_eq$ ?v0 (collect$ (uu$ ?v1 ?v2))) (and (less_eq$ ?v0 (collect$ ?v1)) (less_eq$ ?v0 (collect$ ?v2))))) :named a28))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event_set$) (?v3 (-> Event$ Bool))) (=> (and (member$b ?v0 ?v1) (less_eq$a ?v1 (collect$a (uua$ ?v2 ?v3)))) (?v3 ?v0))) :named a29))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent_set$) (?v3 (-> Agent$ Bool))) (=> (and (member$ ?v0 ?v1) (less_eq$b ?v1 (collect$b (uub$ ?v2 ?v3)))) (?v3 ?v0))) :named a30))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg_set$) (?v3 (-> Msg$ Bool))) (=> (and (member$a ?v0 ?v1) (less_eq$ ?v1 (collect$ (uuc$ ?v2 ?v3)))) (?v3 ?v0))) :named a31))
(assert (! (forall ((?v0 Event_set$) (?v1 (-> Event$ Bool))) (less_eq$a (collect$a (uua$ ?v0 ?v1)) ?v0)) :named a32))
(assert (! (forall ((?v0 Agent_set$) (?v1 (-> Agent$ Bool))) (less_eq$b (collect$b (uub$ ?v0 ?v1)) ?v0)) :named a33))
(assert (! (forall ((?v0 Msg_set$) (?v1 (-> Msg$ Bool))) (less_eq$ (collect$ (uuc$ ?v0 ?v1)) ?v0)) :named a34))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$) (?v2 (-> Event$ Bool)) (?v3 (-> Event$ Bool))) (=> (and (less_eq$a ?v0 ?v1) (forall ((?v4 Event$)) (=> (and (member$b ?v4 ?v0) (?v2 ?v4)) (?v3 ?v4)))) (less_eq$a (collect$a (uua$ ?v0 ?v2)) (collect$a (uua$ ?v1 ?v3))))) :named a35))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$) (?v2 (-> Agent$ Bool)) (?v3 (-> Agent$ Bool))) (=> (and (less_eq$b ?v0 ?v1) (forall ((?v4 Agent$)) (=> (and (member$ ?v4 ?v0) (?v2 ?v4)) (?v3 ?v4)))) (less_eq$b (collect$b (uub$ ?v0 ?v2)) (collect$b (uub$ ?v1 ?v3))))) :named a36))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 (-> Msg$ Bool)) (?v3 (-> Msg$ Bool))) (=> (and (less_eq$ ?v0 ?v1) (forall ((?v4 Msg$)) (=> (and (member$a ?v4 ?v0) (?v2 ?v4)) (?v3 ?v4)))) (less_eq$ (collect$ (uuc$ ?v0 ?v2)) (collect$ (uuc$ ?v1 ?v3))))) :named a37))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$) (?v2 (-> Event$ Bool))) (=> (less_eq$a ?v0 ?v1) (= (less_eq$a ?v0 (collect$a (uua$ ?v1 ?v2))) (forall ((?v3 Event$)) (=> (member$b ?v3 ?v0) (?v2 ?v3)))))) :named a38))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$) (?v2 (-> Agent$ Bool))) (=> (less_eq$b ?v0 ?v1) (= (less_eq$b ?v0 (collect$b (uub$ ?v1 ?v2))) (forall ((?v3 Agent$)) (=> (member$ ?v3 ?v0) (?v2 ?v3)))))) :named a39))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 (-> Msg$ Bool))) (=> (less_eq$ ?v0 ?v1) (= (less_eq$ ?v0 (collect$ (uuc$ ?v1 ?v2))) (forall ((?v3 Msg$)) (=> (member$a ?v3 ?v0) (?v2 ?v3)))))) :named a40))
(assert (! (forall ((?v0 Event_list$)) (=> (and (=> (= ?v0 nil$) false) (=> (not (= ?v0 nil$)) false)) false)) :named a41))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$) (?v2 Event$)) (=> (and (less_eq$a ?v0 ?v1) (member$b ?v2 ?v0)) (member$b ?v2 ?v1))) :named a42))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$) (?v2 Agent$)) (=> (and (less_eq$b ?v0 ?v1) (member$ ?v2 ?v0)) (member$ ?v2 ?v1))) :named a43))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg$)) (=> (and (less_eq$ ?v0 ?v1) (member$a ?v2 ?v0)) (member$a ?v2 ?v1))) :named a44))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$)) (= (less_eq$a ?v0 ?v1) (less_eq$c (uud$ ?v0) (uud$ ?v1)))) :named a45))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$)) (= (less_eq$b ?v0 ?v1) (less_eq$d (uue$ ?v0) (uue$ ?v1)))) :named a46))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (= (less_eq$ ?v0 ?v1) (less_eq$e (uuf$ ?v0) (uuf$ ?v1)))) :named a47))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v0)) (= ?v1 ?v0))) :named a48))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v2 ?v0)) (less_eq$ ?v2 ?v1))) :named a49))
(assert (! (forall ((?v0 Msg_set$)) (less_eq$ ?v0 ?v0)) :named a50))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v2)) (less_eq$ ?v0 ?v2))) :named a51))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v0)) (= ?v0 ?v1))) :named a52))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (= ?v1 ?v2)) (less_eq$ ?v0 ?v2))) :named a53))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (= ?v0 ?v1) (less_eq$ ?v1 ?v2)) (less_eq$ ?v0 ?v2))) :named a54))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (! (=> (less_eq$ ?v0 ?v1) (= (less_eq$ ?v1 ?v0) (= ?v1 ?v0))) :pattern ((less_eq$ ?v1 ?v0)))) :named a55))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v2)) (less_eq$ ?v0 ?v2))) :named a56))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (= ?v0 ?v1) (less_eq$ ?v0 ?v1))) :named a57))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v0)) (= ?v0 ?v1))) :named a58))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (= (= ?v0 ?v1) (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v0)))) :named a59))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 (-> Msg_set$ Msg_set$)) (?v3 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (and (= (?v2 ?v1) ?v3) (forall ((?v4 Msg_set$) (?v5 Msg_set$)) (=> (less_eq$ ?v4 ?v5) (less_eq$ (?v2 ?v4) (?v2 ?v5)))))) (less_eq$ (?v2 ?v0) ?v3))) :named a60))
(assert (! (forall ((?v0 Msg_set$) (?v1 (-> Msg_set$ Msg_set$)) (?v2 Msg_set$) (?v3 Msg_set$)) (=> (and (= ?v0 (?v1 ?v2)) (and (less_eq$ ?v2 ?v3) (forall ((?v4 Msg_set$) (?v5 Msg_set$)) (=> (less_eq$ ?v4 ?v5) (less_eq$ (?v1 ?v4) (?v1 ?v5)))))) (less_eq$ ?v0 (?v1 ?v3)))) :named a61))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 (-> Msg_set$ Msg_set$)) (?v3 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (and (less_eq$ (?v2 ?v1) ?v3) (forall ((?v4 Msg_set$) (?v5 Msg_set$)) (=> (less_eq$ ?v4 ?v5) (less_eq$ (?v2 ?v4) (?v2 ?v5)))))) (less_eq$ (?v2 ?v0) ?v3))) :named a62))
(assert (! (forall ((?v0 Msg_set$) (?v1 (-> Msg_set$ Msg_set$)) (?v2 Msg_set$) (?v3 Msg_set$)) (=> (and (less_eq$ ?v0 (?v1 ?v2)) (and (less_eq$ ?v2 ?v3) (forall ((?v4 Msg_set$) (?v5 Msg_set$)) (=> (less_eq$ ?v4 ?v5) (less_eq$ (?v1 ?v4) (?v1 ?v5)))))) (less_eq$ ?v0 (?v1 ?v3)))) :named a63))
(assert (! (forall ((?v0 (-> Msg$ Bool)) (?v1 (-> Msg$ Bool))) (= (less_eq$ (collect$ ?v0) (collect$ ?v1)) (forall ((?v2 Msg$)) (=> (?v0 ?v2) (?v1 ?v2))))) :named a64))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$) (?v2 Event$)) (=> (and (less_eq$a ?v0 ?v1) (not (member$b ?v2 ?v1))) (not (member$b ?v2 ?v0)))) :named a65))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$) (?v2 Agent$)) (=> (and (less_eq$b ?v0 ?v1) (not (member$ ?v2 ?v1))) (not (member$ ?v2 ?v0)))) :named a66))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg$)) (=> (and (less_eq$ ?v0 ?v1) (not (member$a ?v2 ?v1))) (not (member$a ?v2 ?v0)))) :named a67))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (= (= ?v0 ?v1) (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v0)))) :named a68))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v2)) (less_eq$ ?v0 ?v2))) :named a69))
(assert (! (forall ((?v0 (-> Msg$ Bool)) (?v1 (-> Msg$ Bool))) (=> (forall ((?v2 Msg$)) (=> (?v0 ?v2) (?v1 ?v2))) (less_eq$ (collect$ ?v0) (collect$ ?v1)))) :named a70))
(assert (! (forall ((?v0 Msg_set$)) (less_eq$ ?v0 ?v0)) :named a71))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event_set$)) (=> (and (member$b ?v0 ?v1) (less_eq$a ?v1 ?v2)) (member$b ?v0 ?v2))) :named a72))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent_set$)) (=> (and (member$ ?v0 ?v1) (less_eq$b ?v1 ?v2)) (member$ ?v0 ?v2))) :named a73))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (member$a ?v0 ?v1) (less_eq$ ?v1 ?v2)) (member$a ?v0 ?v2))) :named a74))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$)) (= (less_eq$a ?v0 ?v1) (forall ((?v2 Event$)) (=> (member$b ?v2 ?v0) (member$b ?v2 ?v1))))) :named a75))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$)) (= (less_eq$b ?v0 ?v1) (forall ((?v2 Agent$)) (=> (member$ ?v2 ?v0) (member$ ?v2 ?v1))))) :named a76))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (= (less_eq$ ?v0 ?v1) (forall ((?v2 Msg$)) (=> (member$a ?v2 ?v0) (member$a ?v2 ?v1))))) :named a77))
(assert (! (forall ((?v0 Msg$) (?v1 (-> Msg$ Bool))) (= (member$a ?v0 (collect$ ?v1)) (?v1 ?v0))) :named a78))
(assert (! (forall ((?v0 Event$) (?v1 (-> Event$ Bool))) (= (member$b ?v0 (collect$a ?v1)) (?v1 ?v0))) :named a79))
(assert (! (forall ((?v0 Agent$) (?v1 (-> Agent$ Bool))) (= (member$ ?v0 (collect$b ?v1)) (?v1 ?v0))) :named a80))
(assert (! (forall ((?v0 Msg_set$)) (= (collect$ (uuf$ ?v0)) ?v0)) :named a81))
(assert (! (forall ((?v0 Event_set$)) (= (collect$a (uud$ ?v0)) ?v0)) :named a82))
(assert (! (forall ((?v0 Agent_set$)) (= (collect$b (uue$ ?v0)) ?v0)) :named a83))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event_set$)) (=> (and (member$b ?v0 ?v1) (less_eq$a ?v1 ?v2)) (member$b ?v0 ?v2))) :named a84))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent_set$)) (=> (and (member$ ?v0 ?v1) (less_eq$b ?v1 ?v2)) (member$ ?v0 ?v2))) :named a85))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (member$a ?v0 ?v1) (less_eq$ ?v1 ?v2)) (member$a ?v0 ?v2))) :named a86))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (= ?v0 ?v1) (less_eq$ ?v1 ?v0))) :named a87))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (= ?v0 ?v1) (less_eq$ ?v0 ?v1))) :named a88))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$)) (= (less_eq$a ?v0 ?v1) (forall ((?v2 Event$)) (=> (member$b ?v2 ?v0) (member$b ?v2 ?v1))))) :named a89))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$)) (= (less_eq$b ?v0 ?v1) (forall ((?v2 Agent$)) (=> (member$ ?v2 ?v0) (member$ ?v2 ?v1))))) :named a90))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (= (less_eq$ ?v0 ?v1) (forall ((?v2 Msg$)) (=> (member$a ?v2 ?v0) (member$a ?v2 ?v1))))) :named a91))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (=> (and (= ?v0 ?v1) (=> (and (less_eq$ ?v0 ?v1) (less_eq$ ?v1 ?v0)) false)) false)) :named a92))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$) (?v2 Event$)) (=> (and (less_eq$a ?v0 ?v1) (and (=> (not (member$b ?v2 ?v0)) false) (=> (member$b ?v2 ?v1) false))) false)) :named a93))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$) (?v2 Agent$)) (=> (and (less_eq$b ?v0 ?v1) (and (=> (not (member$ ?v2 ?v0)) false) (=> (member$ ?v2 ?v1) false))) false)) :named a94))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg$)) (=> (and (less_eq$ ?v0 ?v1) (and (=> (not (member$a ?v2 ?v0)) false) (=> (member$a ?v2 ?v1) false))) false)) :named a95))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$) (?v2 Event$)) (=> (and (less_eq$a ?v0 ?v1) (member$b ?v2 ?v0)) (member$b ?v2 ?v1))) :named a96))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$) (?v2 Agent$)) (=> (and (less_eq$b ?v0 ?v1) (member$ ?v2 ?v0)) (member$ ?v2 ?v1))) :named a97))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg$)) (=> (and (less_eq$ ?v0 ?v1) (member$a ?v2 ?v0)) (member$a ?v2 ?v1))) :named a98))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$) (?v2 Event$)) (=> (and (less_eq$a ?v0 ?v1) (member$b ?v2 ?v0)) (member$b ?v2 ?v1))) :named a99))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$) (?v2 Agent$)) (=> (and (less_eq$b ?v0 ?v1) (member$ ?v2 ?v0)) (member$ ?v2 ?v1))) :named a100))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg$)) (=> (and (less_eq$ ?v0 ?v1) (member$a ?v2 ?v0)) (member$a ?v2 ?v1))) :named a101))
(assert (! (forall ((?v0 Event_set$) (?v1 Event_set$)) (= (less_eq$c (uud$ ?v0) (uud$ ?v1)) (less_eq$a ?v0 ?v1))) :named a102))
(assert (! (forall ((?v0 Agent_set$) (?v1 Agent_set$)) (= (less_eq$d (uue$ ?v0) (uue$ ?v1)) (less_eq$b ?v0 ?v1))) :named a103))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$)) (= (less_eq$e (uuf$ ?v0) (uuf$ ?v1)) (less_eq$ ?v0 ?v1))) :named a104))
(assert (! (forall ((?v0 (-> Event$ Bool))) (! (= (list_ex1$ ?v0 nil$) false) :pattern ((list_ex1$ ?v0)))) :named a105))
(assert (! (forall ((?v0 (-> Event$ Event_list$))) (! (= (bind$ nil$ ?v0) nil$) :pattern ((bind$ nil$ ?v0)))) :named a106))
(assert (! (forall ((?v0 (-> Msg_set$ Bool)) (?v1 Msg_set$)) (=> (and (?v0 ?v1) (forall ((?v2 Msg_set$)) (=> (?v0 ?v2) (less_eq$ ?v2 ?v1)))) (= (greatest$ ?v0) ?v1))) :named a107))
(assert (! (forall ((?v0 (-> Msg_set$ Bool)) (?v1 Msg_set$) (?v2 (-> Msg_set$ Bool))) (=> (and (?v0 ?v1) (and (forall ((?v3 Msg_set$)) (=> (?v0 ?v3) (less_eq$ ?v3 ?v1))) (forall ((?v3 Msg_set$)) (=> (and (?v0 ?v3) (forall ((?v4 Msg_set$)) (=> (?v0 ?v4) (less_eq$ ?v4 ?v3)))) (?v2 ?v3))))) (?v2 (greatest$ ?v0)))) :named a108))
(assert (! (forall ((?v0 Event$)) (! (= (member$d nil$ ?v0) false) :pattern ((member$d nil$ ?v0)))) :named a109))
(assert (! (forall ((?v0 (-> Bool Msg_set$)) (?v1 (-> Bool Msg_set$))) (! (= (less_eq$f ?v0 ?v1) (and (less_eq$ (?v0 false) (?v1 false)) (less_eq$ (?v0 true) (?v1 true)))) :pattern ((less_eq$f ?v0 ?v1)))) :named a110))
(assert (! (forall ((?v0 Nat$)) (! (= (gen_length$ ?v0 nil$) ?v0) :pattern ((gen_length$ ?v0)))) :named a111))
(assert (! (forall ((?v0 (-> Event$ Event_list$))) (! (= (maps$ ?v0 nil$) nil$) :pattern ((maps$ ?v0)))) :named a112))
(assert (! (forall ((?v0 Event_list$)) (= (= ?v0 nil$) (null$ ?v0))) :named a113))
(assert (! (= (null$ nil$) true) :named a114))
(assert (! (forall ((?v0 Event_list$)) (! (= (splice$ ?v0 nil$) ?v0) :pattern ((splice$ ?v0)))) :named a115))
(assert (! (forall ((?v0 Event_list$)) (= (= (rotate1$ ?v0) nil$) (= ?v0 nil$))) :named a116))
(assert (! (forall ((?v0 (-> Event$ Event_option$))) (! (= (map_filter$ ?v0 nil$) nil$) :pattern ((map_filter$ ?v0)))) :named a117))
(assert (! (forall ((?v0 (-> Msg_set$ Msg_set$)) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (antimono$ ?v0) (less_eq$ ?v1 ?v2)) (less_eq$ (?v0 ?v2) (?v0 ?v1)))) :named a118))
(assert (! (= (rotate1$ nil$) nil$) :named a119))
(assert (! (forall ((?v0 Event_list$)) (! (= (splice$ nil$ ?v0) ?v0) :pattern ((splice$ nil$ ?v0)))) :named a120))
(assert (! (forall ((?v0 (-> Msg_set$ Msg_set$))) (= (antimono$ ?v0) (forall ((?v1 Msg_set$) (?v2 Msg_set$)) (=> (less_eq$ ?v1 ?v2) (less_eq$ (?v0 ?v2) (?v0 ?v1)))))) :named a121))
(assert (! (forall ((?v0 (-> Msg_set$ Msg_set$))) (=> (forall ((?v1 Msg_set$) (?v2 Msg_set$)) (=> (less_eq$ ?v1 ?v2) (less_eq$ (?v0 ?v2) (?v0 ?v1)))) (antimono$ ?v0))) :named a122))
(assert (! (forall ((?v0 (-> Msg_set$ Msg_set$)) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (antimono$ ?v0) (and (less_eq$ ?v1 ?v2) (=> (less_eq$ (?v0 ?v2) (?v0 ?v1)) false))) false)) :named a123))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 Event_list$)) (=> (and (= (splice$ ?v0 ?v1) ?v2) (and (forall ((?v3 Event_list$)) (=> (and (= ?v0 nil$) (and (= ?v1 ?v3) (= ?v2 ?v3))) false)) (and (forall ((?v3 Event$) (?v4 Event_list$)) (=> (and (= ?v0 (cons$ ?v3 ?v4)) (and (= ?v1 nil$) (= ?v2 (cons$ ?v3 ?v4)))) false)) (forall ((?v3 Event$) (?v4 Event_list$) (?v5 Event$) (?v6 Event_list$)) (=> (and (= ?v0 (cons$ ?v3 ?v4)) (and (= ?v1 (cons$ ?v5 ?v6)) (= ?v2 (cons$ ?v3 (cons$ ?v5 (splice$ ?v4 ?v6)))))) false))))) false)) :named a124))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (! (= (splice$ (cons$ ?v0 ?v1) nil$) (cons$ ?v0 ?v1)) :pattern ((cons$ ?v0 ?v1)))) :named a125))
(assert (! (forall ((?v0 (-> Event$ Bool))) (! (= (list_ex$ ?v0 nil$) false) :pattern ((list_ex$ ?v0)))) :named a126))
(assert (! (forall ((?v0 Event_list$)) (= (= ?v0 nil$) (case_list$ true uug$ ?v0))) :named a127))
(assert (! (forall ((?v0 Event_list$)) (= (not (= ?v0 nil$)) (case_list$ false uuh$ ?v0))) :named a128))
(assert (! (forall ((?v0 Agent$)) (! (= (knows$ ?v0 nil$) (initState$ ?v0)) :pattern ((knows$ ?v0)))) :named a129))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 Event$) (?v3 Event_list$)) (= (= (cons$ ?v0 ?v1) (cons$ ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a130))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event$) (?v2 Event_list$)) (! (= (list_ex$ ?v0 (cons$ ?v1 ?v2)) (or (?v0 ?v1) (list_ex$ ?v0 ?v2))) :pattern ((list_ex$ ?v0 (cons$ ?v1 ?v2))))) :named a131))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (not (= (cons$ ?v0 ?v1) ?v1))) :named a132))
(assert (! (forall ((?v0 Event_list_list$)) (=> (and (=> (= ?v0 nil$a) false) (and (forall ((?v1 Event_list_list$)) (=> (= ?v0 (cons$a nil$ ?v1)) false)) (forall ((?v1 Event$) (?v2 Event_list$) (?v3 Event_list_list$)) (=> (= ?v0 (cons$a (cons$ ?v1 ?v2) ?v3)) false)))) false)) :named a133))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (not (= nil$ (cons$ ?v0 ?v1)))) :named a134))
(assert (! (forall ((?v0 Event_list$) (?v1 Event$) (?v2 Event_list$)) (=> (= ?v0 (cons$ ?v1 ?v2)) (not (= ?v0 nil$)))) :named a135))
(assert (! (forall ((?v0 Event_list$)) (=> (and (=> (= ?v0 nil$) false) (forall ((?v1 Event$) (?v2 Event_list$)) (=> (= ?v0 (cons$ ?v1 ?v2)) false))) false)) :named a136))
(assert (! (forall ((?v0 Event_list$)) (= (not (= ?v0 nil$)) (exists ((?v1 Event$) (?v2 Event_list$)) (= ?v0 (cons$ ?v1 ?v2))))) :named a137))
(assert (! (forall ((?v0 (-> Event_list$ (-> Event_list$ Bool))) (?v1 Event_list$) (?v2 Event_list$)) (=> (and (?v0 nil$ nil$) (and (forall ((?v3 Event$) (?v4 Event_list$)) (?v0 (cons$ ?v3 ?v4) nil$)) (and (forall ((?v3 Event$) (?v4 Event_list$)) (?v0 nil$ (cons$ ?v3 ?v4))) (forall ((?v3 Event$) (?v4 Event_list$) (?v5 Event$) (?v6 Event_list$)) (=> (?v0 ?v4 ?v6) (?v0 (cons$ ?v3 ?v4) (cons$ ?v5 ?v6))))))) (?v0 ?v1 ?v2))) :named a138))
(assert (! (forall ((?v0 Event_list$)) (=> (and (=> (= ?v0 nil$) false) (and (forall ((?v1 Event$)) (=> (= ?v0 (cons$ ?v1 nil$)) false)) (forall ((?v1 Event$) (?v2 Event$) (?v3 Event_list$)) (=> (= ?v0 (cons$ ?v1 (cons$ ?v2 ?v3))) false)))) false)) :named a139))
(assert (! (forall ((?v0 (-> Event_list$ Bool)) (?v1 Event_list$)) (=> (and (?v0 nil$) (and (forall ((?v2 Event$)) (?v0 (cons$ ?v2 nil$))) (forall ((?v2 Event$) (?v3 Event$) (?v4 Event_list$)) (=> (?v0 (cons$ ?v3 ?v4)) (?v0 (cons$ ?v2 (cons$ ?v3 ?v4))))))) (?v0 ?v1))) :named a140))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event_list$ Bool))) (=> (and (not (= ?v0 nil$)) (and (forall ((?v2 Event$)) (?v1 (cons$ ?v2 nil$))) (forall ((?v2 Event$) (?v3 Event_list$)) (=> (and (not (= ?v3 nil$)) (?v1 ?v3)) (?v1 (cons$ ?v2 ?v3)))))) (?v1 ?v0))) :named a141))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 Event$) (?v3 Event_list$)) (! (= (splice$ (cons$ ?v0 ?v1) (cons$ ?v2 ?v3)) (cons$ ?v0 (cons$ ?v2 (splice$ ?v1 ?v3)))) :pattern ((splice$ (cons$ ?v0 ?v1) (cons$ ?v2 ?v3))))) :named a142))
(assert (! (forall ((?v0 Agent$) (?v1 Event_list$) (?v2 Event$)) (less_eq$ (knows$ ?v0 ?v1) (knows$ ?v0 (cons$ ?v2 ?v1)))) :named a143))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (! (= (null$ (cons$ ?v0 ?v1)) false) :pattern ((cons$ ?v0 ?v1)))) :named a144))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 Event$)) (! (= (member$d (cons$ ?v0 ?v1) ?v2) (or (= ?v0 ?v2) (member$d ?v1 ?v2))) :pattern ((member$d (cons$ ?v0 ?v1) ?v2)))) :named a145))
(assert (! (forall ((?v0 Agent$) (?v1 Event_list$)) (less_eq$ (initState$ ?v0) (knows$ ?v0 ?v1))) :named a146))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event$) (?v2 Event_list$)) (! (= (takeWhile$ ?v0 (cons$ ?v1 ?v2)) (ite (?v0 ?v1) (cons$ ?v1 (takeWhile$ ?v0 ?v2)) nil$)) :pattern ((takeWhile$ ?v0 (cons$ ?v1 ?v2))))) :named a147))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Msg$)) (less_eq$ (knows$ spy$ ?v0) (knows$ spy$ (cons$ (gets$ ?v1 ?v2) ?v0)))) :named a148))
(assert (! (forall ((?v0 Event$)) (! (= (insert$a ?v0 nil$) (cons$ ?v0 nil$)) :pattern ((insert$a ?v0)))) :named a149))
(assert (! (forall ((?v0 Agent$) (?v1 Msg$) (?v2 Event_list$)) (! (= (knows$ spy$ (cons$ (gets$ ?v0 ?v1) ?v2)) (knows$ spy$ ?v2)) :pattern ((cons$ (gets$ ?v0 ?v1) ?v2)))) :named a150))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Msg$)) (less_eq$ (knows$ spy$ ?v0) (knows$ spy$ (cons$ (notes$ ?v1 ?v2) ?v0)))) :named a151))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event$) (?v2 Event_list$)) (= (list_ex1$ ?v0 (cons$ ?v1 ?v2)) (ite (?v0 ?v1) (list_all$ (uui$ ?v0 ?v1) ?v2) (list_ex1$ ?v0 ?v2)))) :named a152))
(assert (! (forall ((?v0 Agent$) (?v1 Msg$) (?v2 Agent$) (?v3 Msg$)) (= (= (notes$ ?v0 ?v1) (notes$ ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a153))
(assert (! (forall ((?v0 Agent$) (?v1 Msg$) (?v2 Agent$) (?v3 Msg$)) (= (= (gets$ ?v0 ?v1) (gets$ ?v2 ?v3)) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a154))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event$) (?v2 Event_list$)) (! (= (list_all$ ?v0 (cons$ ?v1 ?v2)) (and (?v0 ?v1) (list_all$ ?v0 ?v2))) :pattern ((list_all$ ?v0 (cons$ ?v1 ?v2))))) :named a155))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event$) (?v2 Event_list$)) (! (= (list_all$ ?v0 (cons$ ?v1 ?v2)) (and (?v0 ?v1) (list_all$ ?v0 ?v2))) :pattern ((list_all$ ?v0 (cons$ ?v1 ?v2))))) :named a156))
(assert (! (forall ((?v0 (-> Event$ Bool))) (! (= (list_all$ ?v0 nil$) true) :pattern ((list_all$ ?v0)))) :named a157))
(assert (! (forall ((?v0 Agent$) (?v1 Msg$) (?v2 Agent$) (?v3 Msg$)) (not (= (gets$ ?v0 ?v1) (notes$ ?v2 ?v3)))) :named a158))
(assert (! (forall ((?v0 (-> Event$ Bool))) (list_all$ ?v0 nil$)) :named a159))
(assert (! (forall ((?v0 Agent$) (?v1 Event_list$) (?v2 Agent$) (?v3 Msg$)) (less_eq$ (knows$ ?v0 ?v1) (knows$ ?v0 (cons$ (notes$ ?v2 ?v3) ?v1)))) :named a160))
(assert (! (forall ((?v0 Agent$) (?v1 Event_list$) (?v2 Agent$) (?v3 Msg$)) (less_eq$ (knows$ ?v0 ?v1) (knows$ ?v0 (cons$ (gets$ ?v2 ?v3) ?v1)))) :named a161))
(assert (! (= (product_lists$ nil$a) (cons$a nil$ nil$a)) :named a162))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Msg$)) (= (knows$ spy$ (append$ ?v0 (cons$ (gets$ ?v1 ?v2) nil$))) (knows$ spy$ ?v0))) :named a163))
(assert (! (= (subseqs$ nil$) (cons$a nil$ nil$a)) :named a164))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Agent$) (?v3 Msg$)) (less_eq$ (knows$ spy$ ?v0) (knows$ spy$ (cons$ (says$ ?v1 ?v2 ?v3) ?v0)))) :named a165))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 Event_list$)) (= (append$ (append$ ?v0 ?v1) ?v2) (append$ ?v0 (append$ ?v1 ?v2)))) :named a166))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 Event_list$)) (= (append$ (append$ ?v0 ?v1) ?v2) (append$ ?v0 (append$ ?v1 ?v2)))) :named a167))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 Event_list$)) (= (= (append$ ?v0 ?v1) (append$ ?v2 ?v1)) (= ?v0 ?v2))) :named a168))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 Event_list$)) (= (= (append$ ?v0 ?v1) (append$ ?v0 ?v2)) (= ?v1 ?v2))) :named a169))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Msg$) (?v3 Agent$) (?v4 Agent$) (?v5 Msg$)) (= (= (says$ ?v0 ?v1 ?v2) (says$ ?v3 ?v4 ?v5)) (and (= ?v0 ?v3) (and (= ?v1 ?v4) (= ?v2 ?v5))))) :named a170))
(assert (! (forall ((?v0 Event_list$)) (! (= (append$ ?v0 nil$) ?v0) :pattern ((append$ ?v0)))) :named a171))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$)) (= (= (append$ ?v0 ?v1) ?v0) (= ?v1 nil$))) :named a172))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$)) (= (= ?v0 (append$ ?v0 ?v1)) (= ?v1 nil$))) :named a173))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$)) (= (= (append$ ?v0 ?v1) ?v1) (= ?v0 nil$))) :named a174))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$)) (= (= ?v0 (append$ ?v1 ?v0)) (= ?v1 nil$))) :named a175))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$)) (= (= nil$ (append$ ?v0 ?v1)) (and (= ?v0 nil$) (= ?v1 nil$)))) :named a176))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$)) (= (= (append$ ?v0 ?v1) nil$) (and (= ?v0 nil$) (= ?v1 nil$)))) :named a177))
(assert (! (forall ((?v0 Event_list$)) (! (= (append$ ?v0 nil$) ?v0) :pattern ((append$ ?v0)))) :named a178))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event_list$) (?v2 Event_list$)) (= (list_all$ ?v0 (append$ ?v1 ?v2)) (and (list_all$ ?v0 ?v1) (list_all$ ?v0 ?v2)))) :named a179))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event_list$) (?v2 Event_list$)) (= (list_ex$ ?v0 (append$ ?v1 ?v2)) (or (list_ex$ ?v0 ?v1) (list_ex$ ?v0 ?v2)))) :named a180))
(assert (! (forall ((?v0 Event_list$) (?v1 Event$) (?v2 Event_list$) (?v3 Event$)) (= (= (append$ ?v0 (cons$ ?v1 nil$)) (append$ ?v2 (cons$ ?v3 nil$))) (and (= ?v0 ?v2) (= ?v1 ?v3)))) :named a181))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 (-> Event$ Event_list$))) (! (= (bind$ (cons$ ?v0 ?v1) ?v2) (append$ (?v2 ?v0) (bind$ ?v1 ?v2))) :pattern ((bind$ (cons$ ?v0 ?v1) ?v2)))) :named a182))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 Event_list$)) (! (= (append$ (cons$ ?v0 ?v1) ?v2) (cons$ ?v0 (append$ ?v1 ?v2))) :pattern ((append$ (cons$ ?v0 ?v1) ?v2)))) :named a183))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 Event_list$) (?v3 Event_list$) (?v4 Event_list$)) (=> (and (= (cons$ ?v0 ?v1) ?v2) (= ?v3 (append$ ?v1 ?v4))) (= (cons$ ?v0 ?v3) (append$ ?v2 ?v4)))) :named a184))
(assert (! (forall ((?v0 Event_list$)) (! (= (append$ nil$ ?v0) ?v0) :pattern ((append$ nil$ ?v0)))) :named a185))
(assert (! (forall ((?v0 Event_list$)) (! (= (append$ nil$ ?v0) ?v0) :pattern ((append$ nil$ ?v0)))) :named a186))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$)) (=> (= ?v0 ?v1) (= ?v0 (append$ nil$ ?v1)))) :named a187))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 Event_list$) (?v3 Event_list$) (?v4 Event_list$)) (=> (and (= (append$ ?v0 ?v1) ?v2) (= ?v3 (append$ ?v1 ?v4))) (= (append$ ?v0 ?v3) (append$ ?v2 ?v4)))) :named a188))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 Event_list$) (?v3 Event_list$)) (= (= (append$ ?v0 ?v1) (append$ ?v2 ?v3)) (exists ((?v4 Event_list$)) (or (and (= ?v0 (append$ ?v2 ?v4)) (= (append$ ?v4 ?v1) ?v3)) (and (= (append$ ?v0 ?v4) ?v2) (= ?v1 (append$ ?v4 ?v3))))))) :named a189))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Msg$) (?v3 Agent$) (?v4 Msg$)) (not (= (says$ ?v0 ?v1 ?v2) (notes$ ?v3 ?v4)))) :named a190))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Msg$) (?v3 Agent$) (?v4 Msg$)) (not (= (says$ ?v0 ?v1 ?v2) (gets$ ?v3 ?v4)))) :named a191))
(assert (! (forall ((?v0 (-> Event_list$ Bool)) (?v1 Event_list$)) (=> (and (?v0 nil$) (forall ((?v2 Event$) (?v3 Event_list$)) (=> (?v0 ?v3) (?v0 (append$ ?v3 (cons$ ?v2 nil$)))))) (?v0 ?v1))) :named a192))
(assert (! (forall ((?v0 Event_list$)) (=> (and (=> (= ?v0 nil$) false) (forall ((?v1 Event_list$) (?v2 Event$)) (=> (= ?v0 (append$ ?v1 (cons$ ?v2 nil$))) false))) false)) :named a193))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 Event_list$) (?v3 Event_list$)) (= (= (cons$ ?v0 ?v1) (append$ ?v2 ?v3)) (or (and (= ?v2 nil$) (= (cons$ ?v0 ?v1) ?v3)) (exists ((?v4 Event_list$)) (and (= (cons$ ?v0 ?v4) ?v2) (= ?v1 (append$ ?v4 ?v3))))))) :named a194))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 Event$) (?v3 Event_list$)) (= (= (append$ ?v0 ?v1) (cons$ ?v2 ?v3)) (or (and (= ?v0 nil$) (= ?v1 (cons$ ?v2 ?v3))) (exists ((?v4 Event_list$)) (and (= ?v0 (cons$ ?v2 ?v4)) (= (append$ ?v4 ?v1) ?v3)))))) :named a195))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event_list$ Bool))) (=> (and (not (= ?v0 nil$)) (and (forall ((?v2 Event$)) (?v1 (cons$ ?v2 nil$))) (forall ((?v2 Event$) (?v3 Event_list$)) (=> (and (not (= ?v3 nil$)) (?v1 ?v3)) (?v1 (append$ ?v3 (cons$ ?v2 nil$))))))) (?v1 ?v0))) :named a196))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event$) (?v2 Event_list$) (?v3 Event_list$)) (=> (not (?v0 ?v1)) (= (takeWhile$ ?v0 (append$ ?v2 (cons$ ?v1 ?v3))) (takeWhile$ ?v0 ?v2)))) :named a197))
(assert (! (forall ((?v0 Event$)) (=> (and (forall ((?v1 Agent$) (?v2 Agent$) (?v3 Msg$)) (=> (= ?v0 (says$ ?v1 ?v2 ?v3)) false)) (and (forall ((?v1 Agent$) (?v2 Msg$)) (=> (= ?v0 (gets$ ?v1 ?v2)) false)) (forall ((?v1 Agent$) (?v2 Msg$)) (=> (= ?v0 (notes$ ?v1 ?v2)) false)))) false)) :named a198))
(assert (! (forall ((?v0 (-> Event$ Event_list$)) (?v1 Event$) (?v2 Event_list$)) (! (= (maps$ ?v0 (cons$ ?v1 ?v2)) (append$ (?v0 ?v1) (maps$ ?v0 ?v2))) :pattern ((maps$ ?v0 (cons$ ?v1 ?v2))))) :named a199))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (= (rotate1$ (cons$ ?v0 ?v1)) (append$ ?v1 (cons$ ?v0 nil$)))) :named a200))
(assert (! (forall ((?v0 Agent$) (?v1 Event_list$) (?v2 Agent$) (?v3 Agent$) (?v4 Msg$)) (less_eq$ (knows$ ?v0 ?v1) (knows$ ?v0 (cons$ (says$ ?v2 ?v3 ?v4) ?v1)))) :named a201))
(assert (! (forall ((?v0 Event_list_set$) (?v1 Event_list$)) (= (succ$ ?v0 ?v1) (collect$a (uuj$ ?v0 ?v1)))) :named a202))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Agent$) (?v3 Msg$)) (= (knows$ spy$ (append$ ?v0 (cons$ (says$ ?v1 ?v2 ?v3) nil$))) (insert$ ?v3 (knows$ spy$ ?v0)))) :named a203))
(assert (! (forall ((?v0 Msg$) (?v1 Agent$) (?v2 Event_list$)) (=> (and (member$a ?v0 (knows$ ?v1 ?v2)) (not (= ?v1 spy$))) (exists ((?v3 Agent$)) (or (member$b (says$ ?v1 ?v3 ?v0) (set$ ?v2)) (or (member$b (gets$ ?v1 ?v0) (set$ ?v2)) (or (member$b (notes$ ?v1 ?v0) (set$ ?v2)) (member$a ?v0 (initState$ ?v1)))))))) :named a204))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list_set$) (?v2 Msg_list$)) (=> (member$a ?v0 (succ$a ?v1 ?v2)) (member$e (append$a ?v2 (cons$b ?v0 nil$b)) ?v1))) :named a205))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list_set$) (?v2 Agent_list$)) (=> (member$ ?v0 (succ$b ?v1 ?v2)) (member$f (append$b ?v2 (cons$c ?v0 nil$c)) ?v1))) :named a206))
(assert (! (forall ((?v0 Event$) (?v1 Event_list_set$) (?v2 Event_list$)) (=> (member$b ?v0 (succ$ ?v1 ?v2)) (member$c (append$ ?v2 (cons$ ?v0 nil$)) ?v1))) :named a207))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$)) (= (insert$ ?v0 (insert$ ?v0 ?v1)) (insert$ ?v0 ?v1))) :named a208))
(assert (! (forall ((?v0 Msg$) (?v1 Msg$) (?v2 Msg_set$)) (= (member$a ?v0 (insert$ ?v1 ?v2)) (or (= ?v0 ?v1) (member$a ?v0 ?v2)))) :named a209))
(assert (! (forall ((?v0 Event$) (?v1 Event$) (?v2 Event_set$)) (= (member$b ?v0 (insert$b ?v1 ?v2)) (or (= ?v0 ?v1) (member$b ?v0 ?v2)))) :named a210))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Agent_set$)) (= (member$ ?v0 (insert$c ?v1 ?v2)) (or (= ?v0 ?v1) (member$ ?v0 ?v2)))) :named a211))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg$)) (=> (=> (not (member$a ?v0 ?v1)) (= ?v0 ?v2)) (member$a ?v0 (insert$ ?v2 ?v1)))) :named a212))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event$)) (=> (=> (not (member$b ?v0 ?v1)) (= ?v0 ?v2)) (member$b ?v0 (insert$b ?v2 ?v1)))) :named a213))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent$)) (=> (=> (not (member$ ?v0 ?v1)) (= ?v0 ?v2)) (member$ ?v0 (insert$c ?v2 ?v1)))) :named a214))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event_set$)) (= (less_eq$a (insert$b ?v0 ?v1) ?v2) (and (member$b ?v0 ?v2) (less_eq$a ?v1 ?v2)))) :named a215))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent_set$)) (= (less_eq$b (insert$c ?v0 ?v1) ?v2) (and (member$ ?v0 ?v2) (less_eq$b ?v1 ?v2)))) :named a216))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg_set$)) (= (less_eq$ (insert$ ?v0 ?v1) ?v2) (and (member$a ?v0 ?v2) (less_eq$ ?v1 ?v2)))) :named a217))
(assert (! (forall ((?v0 (-> Msg$ Bool)) (?v1 Msg_list$)) (= (= (takeWhile$a ?v0 ?v1) ?v1) (forall ((?v2 Msg$)) (=> (member$a ?v2 (set$a ?v1)) (?v0 ?v2))))) :named a218))
(assert (! (forall ((?v0 (-> Agent$ Bool)) (?v1 Agent_list$)) (= (= (takeWhile$b ?v0 ?v1) ?v1) (forall ((?v2 Agent$)) (=> (member$ ?v2 (set$b ?v1)) (?v0 ?v2))))) :named a219))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event_list$)) (= (= (takeWhile$ ?v0 ?v1) ?v1) (forall ((?v2 Event$)) (=> (member$b ?v2 (set$ ?v1)) (?v0 ?v2))))) :named a220))
(assert (! (forall ((?v0 Event_list$)) (= (set$ (rotate1$ ?v0)) (set$ ?v0))) :named a221))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (! (=> (member$a ?v0 (set$a ?v1)) (= (insert$d ?v0 ?v1) ?v1)) :pattern ((insert$d ?v0 ?v1)))) :named a222))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (! (=> (member$ ?v0 (set$b ?v1)) (= (insert$e ?v0 ?v1) ?v1)) :pattern ((insert$e ?v0 ?v1)))) :named a223))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (! (=> (member$b ?v0 (set$ ?v1)) (= (insert$a ?v0 ?v1) ?v1)) :pattern ((insert$a ?v0 ?v1)))) :named a224))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (! (= (set$a (cons$b ?v0 ?v1)) (insert$ ?v0 (set$a ?v1))) :pattern ((cons$b ?v0 ?v1)))) :named a225))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (! (= (set$ (cons$ ?v0 ?v1)) (insert$b ?v0 (set$ ?v1))) :pattern ((cons$ ?v0 ?v1)))) :named a226))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool)) (?v2 Msg_list$)) (=> (forall ((?v3 Msg$)) (=> (member$a ?v3 (set$a ?v0)) (?v1 ?v3))) (= (takeWhile$a ?v1 (append$a ?v0 ?v2)) (append$a ?v0 (takeWhile$a ?v1 ?v2))))) :named a227))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool)) (?v2 Agent_list$)) (=> (forall ((?v3 Agent$)) (=> (member$ ?v3 (set$b ?v0)) (?v1 ?v3))) (= (takeWhile$b ?v1 (append$b ?v0 ?v2)) (append$b ?v0 (takeWhile$b ?v1 ?v2))))) :named a228))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool)) (?v2 Event_list$)) (=> (forall ((?v3 Event$)) (=> (member$b ?v3 (set$ ?v0)) (?v1 ?v3))) (= (takeWhile$ ?v1 (append$ ?v0 ?v2)) (append$ ?v0 (takeWhile$ ?v1 ?v2))))) :named a229))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$) (?v2 (-> Msg$ Bool)) (?v3 Msg_list$)) (=> (and (member$a ?v0 (set$a ?v1)) (not (?v2 ?v0))) (= (takeWhile$a ?v2 (append$a ?v1 ?v3)) (takeWhile$a ?v2 ?v1)))) :named a230))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$) (?v2 (-> Agent$ Bool)) (?v3 Agent_list$)) (=> (and (member$ ?v0 (set$b ?v1)) (not (?v2 ?v0))) (= (takeWhile$b ?v2 (append$b ?v1 ?v3)) (takeWhile$b ?v2 ?v1)))) :named a231))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 (-> Event$ Bool)) (?v3 Event_list$)) (=> (and (member$b ?v0 (set$ ?v1)) (not (?v2 ?v0))) (= (takeWhile$ ?v2 (append$ ?v1 ?v3)) (takeWhile$ ?v2 ?v1)))) :named a232))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (= (set$a (insert$d ?v0 ?v1)) (insert$ ?v0 (set$a ?v1)))) :named a233))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (= (set$ (insert$a ?v0 ?v1)) (insert$b ?v0 (set$ ?v1)))) :named a234))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (! (=> (not (member$a ?v0 (set$a ?v1))) (= (insert$d ?v0 ?v1) (cons$b ?v0 ?v1))) :pattern ((insert$d ?v0 ?v1)))) :named a235))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (! (=> (not (member$ ?v0 (set$b ?v1))) (= (insert$e ?v0 ?v1) (cons$c ?v0 ?v1))) :pattern ((insert$e ?v0 ?v1)))) :named a236))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (! (=> (not (member$b ?v0 (set$ ?v1))) (= (insert$a ?v0 ?v1) (cons$ ?v0 ?v1))) :pattern ((insert$a ?v0 ?v1)))) :named a237))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Msg$) (?v3 Event_list$)) (! (= (knows$ spy$ (cons$ (says$ ?v0 ?v1 ?v2) ?v3)) (insert$ ?v2 (knows$ spy$ ?v3))) :pattern ((cons$ (says$ ?v0 ?v1 ?v2) ?v3)))) :named a238))
(assert (! (forall ((?v0 Agent_list$) (?v1 Agent_set$)) (= (less_eq$b (set$b ?v0) ?v1) (forall ((?v2 Agent$)) (=> (member$ ?v2 (set$b ?v0)) (member$ ?v2 ?v1))))) :named a239))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_set$)) (= (less_eq$a (set$ ?v0) ?v1) (forall ((?v2 Event$)) (=> (member$b ?v2 (set$ ?v0)) (member$b ?v2 ?v1))))) :named a240))
(assert (! (forall ((?v0 Msg_list$) (?v1 Msg_set$)) (= (less_eq$ (set$a ?v0) ?v1) (forall ((?v2 Msg$)) (=> (member$a ?v2 (set$a ?v0)) (member$a ?v2 ?v1))))) :named a241))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event_set$)) (=> (and (member$b ?v0 ?v1) (less_eq$a ?v2 ?v1)) (less_eq$a (insert$b ?v0 ?v2) ?v1))) :named a242))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent_set$)) (=> (and (member$ ?v0 ?v1) (less_eq$b ?v2 ?v1)) (less_eq$b (insert$c ?v0 ?v2) ?v1))) :named a243))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (member$a ?v0 ?v1) (less_eq$ ?v2 ?v1)) (less_eq$ (insert$ ?v0 ?v2) ?v1))) :named a244))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg$)) (=> (less_eq$ ?v0 ?v1) (less_eq$ ?v0 (insert$ ?v2 ?v1)))) :named a245))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg$)) (less_eq$ ?v0 (insert$ ?v1 ?v0))) :named a246))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event_set$)) (=> (not (member$b ?v0 ?v1)) (= (less_eq$a ?v1 (insert$b ?v0 ?v2)) (less_eq$a ?v1 ?v2)))) :named a247))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent_set$)) (=> (not (member$ ?v0 ?v1)) (= (less_eq$b ?v1 (insert$c ?v0 ?v2)) (less_eq$b ?v1 ?v2)))) :named a248))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (not (member$a ?v0 ?v1)) (= (less_eq$ ?v1 (insert$ ?v0 ?v2)) (less_eq$ ?v1 ?v2)))) :named a249))
(assert (! (forall ((?v0 Msg_set$) (?v1 Msg_set$) (?v2 Msg$)) (=> (less_eq$ ?v0 ?v1) (less_eq$ (insert$ ?v2 ?v0) (insert$ ?v2 ?v1)))) :named a250))
(assert (! (forall ((?v0 Msg_list$) (?v1 Msg_list$) (?v2 (-> Msg$ Bool)) (?v3 (-> Msg$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Msg$)) (=> (member$a ?v4 (set$a ?v1)) (= (?v2 ?v4) (?v3 ?v4))))) (= (list_ex$a ?v2 ?v0) (list_ex$a ?v3 ?v1)))) :named a251))
(assert (! (forall ((?v0 Agent_list$) (?v1 Agent_list$) (?v2 (-> Agent$ Bool)) (?v3 (-> Agent$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Agent$)) (=> (member$ ?v4 (set$b ?v1)) (= (?v2 ?v4) (?v3 ?v4))))) (= (list_ex$b ?v2 ?v0) (list_ex$b ?v3 ?v1)))) :named a252))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 (-> Event$ Bool)) (?v3 (-> Event$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Event$)) (=> (member$b ?v4 (set$ ?v1)) (= (?v2 ?v4) (?v3 ?v4))))) (= (list_ex$ ?v2 ?v0) (list_ex$ ?v3 ?v1)))) :named a253))
(assert (! (forall ((?v0 Msg$) (?v1 (-> Msg$ Bool))) (= (insert$ ?v0 (collect$ ?v1)) (collect$ (uuk$ ?v0 ?v1)))) :named a254))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$)) (= (insert$ ?v0 ?v1) (collect$ (uul$ ?v0 ?v1)))) :named a255))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$)) (= (insert$b ?v0 ?v1) (collect$a (uum$ ?v0 ?v1)))) :named a256))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$)) (= (insert$c ?v0 ?v1) (collect$b (uun$ ?v0 ?v1)))) :named a257))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$)) (=> (member$a ?v0 ?v1) (exists ((?v2 Msg_set$)) (and (= ?v1 (insert$ ?v0 ?v2)) (not (member$a ?v0 ?v2)))))) :named a258))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$)) (=> (member$b ?v0 ?v1) (exists ((?v2 Event_set$)) (and (= ?v1 (insert$b ?v0 ?v2)) (not (member$b ?v0 ?v2)))))) :named a259))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$)) (=> (member$ ?v0 ?v1) (exists ((?v2 Agent_set$)) (and (= ?v1 (insert$c ?v0 ?v2)) (not (member$ ?v0 ?v2)))))) :named a260))
(assert (! (forall ((?v0 Msg$) (?v1 Msg$) (?v2 Msg_set$)) (= (insert$ ?v0 (insert$ ?v1 ?v2)) (insert$ ?v1 (insert$ ?v0 ?v2)))) :named a261))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg$) (?v3 Msg_set$)) (=> (and (not (member$a ?v0 ?v1)) (not (member$a ?v2 ?v3))) (= (= (insert$ ?v0 ?v1) (insert$ ?v2 ?v3)) (ite (= ?v0 ?v2) (= ?v1 ?v3) (exists ((?v4 Msg_set$)) (and (= ?v1 (insert$ ?v2 ?v4)) (and (not (member$a ?v2 ?v4)) (and (= ?v3 (insert$ ?v0 ?v4)) (not (member$a ?v0 ?v4)))))))))) :named a262))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event$) (?v3 Event_set$)) (=> (and (not (member$b ?v0 ?v1)) (not (member$b ?v2 ?v3))) (= (= (insert$b ?v0 ?v1) (insert$b ?v2 ?v3)) (ite (= ?v0 ?v2) (= ?v1 ?v3) (exists ((?v4 Event_set$)) (and (= ?v1 (insert$b ?v2 ?v4)) (and (not (member$b ?v2 ?v4)) (and (= ?v3 (insert$b ?v0 ?v4)) (not (member$b ?v0 ?v4)))))))))) :named a263))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent$) (?v3 Agent_set$)) (=> (and (not (member$ ?v0 ?v1)) (not (member$ ?v2 ?v3))) (= (= (insert$c ?v0 ?v1) (insert$c ?v2 ?v3)) (ite (= ?v0 ?v2) (= ?v1 ?v3) (exists ((?v4 Agent_set$)) (and (= ?v1 (insert$c ?v2 ?v4)) (and (not (member$ ?v2 ?v4)) (and (= ?v3 (insert$c ?v0 ?v4)) (not (member$ ?v0 ?v4)))))))))) :named a264))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$)) (! (=> (member$a ?v0 ?v1) (= (insert$ ?v0 ?v1) ?v1)) :pattern ((insert$ ?v0 ?v1)))) :named a265))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$)) (! (=> (member$b ?v0 ?v1) (= (insert$b ?v0 ?v1) ?v1)) :pattern ((insert$b ?v0 ?v1)))) :named a266))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$)) (! (=> (member$ ?v0 ?v1) (= (insert$c ?v0 ?v1) ?v1)) :pattern ((insert$c ?v0 ?v1)))) :named a267))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg_set$)) (=> (and (not (member$a ?v0 ?v1)) (not (member$a ?v0 ?v2))) (= (= (insert$ ?v0 ?v1) (insert$ ?v0 ?v2)) (= ?v1 ?v2)))) :named a268))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event_set$)) (=> (and (not (member$b ?v0 ?v1)) (not (member$b ?v0 ?v2))) (= (= (insert$b ?v0 ?v1) (insert$b ?v0 ?v2)) (= ?v1 ?v2)))) :named a269))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent_set$)) (=> (and (not (member$ ?v0 ?v1)) (not (member$ ?v0 ?v2))) (= (= (insert$c ?v0 ?v1) (insert$c ?v0 ?v2)) (= ?v1 ?v2)))) :named a270))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$)) (=> (and (member$a ?v0 ?v1) (forall ((?v2 Msg_set$)) (=> (and (= ?v1 (insert$ ?v0 ?v2)) (not (member$a ?v0 ?v2))) false))) false)) :named a271))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$)) (=> (and (member$b ?v0 ?v1) (forall ((?v2 Event_set$)) (=> (and (= ?v1 (insert$b ?v0 ?v2)) (not (member$b ?v0 ?v2))) false))) false)) :named a272))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$)) (=> (and (member$ ?v0 ?v1) (forall ((?v2 Agent_set$)) (=> (and (= ?v1 (insert$c ?v0 ?v2)) (not (member$ ?v0 ?v2))) false))) false)) :named a273))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$) (?v2 Msg$)) (=> (member$a ?v0 ?v1) (member$a ?v0 (insert$ ?v2 ?v1)))) :named a274))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$) (?v2 Event$)) (=> (member$b ?v0 ?v1) (member$b ?v0 (insert$b ?v2 ?v1)))) :named a275))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$) (?v2 Agent$)) (=> (member$ ?v0 ?v1) (member$ ?v0 (insert$c ?v2 ?v1)))) :named a276))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_set$)) (member$a ?v0 (insert$ ?v0 ?v1))) :named a277))
(assert (! (forall ((?v0 Event$) (?v1 Event_set$)) (member$b ?v0 (insert$b ?v0 ?v1))) :named a278))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_set$)) (member$ ?v0 (insert$c ?v0 ?v1))) :named a279))
(assert (! (forall ((?v0 Msg$) (?v1 Msg$) (?v2 Msg_set$)) (=> (and (member$a ?v0 (insert$ ?v1 ?v2)) (and (=> (= ?v0 ?v1) false) (=> (member$a ?v0 ?v2) false))) false)) :named a280))
(assert (! (forall ((?v0 Event$) (?v1 Event$) (?v2 Event_set$)) (=> (and (member$b ?v0 (insert$b ?v1 ?v2)) (and (=> (= ?v0 ?v1) false) (=> (member$b ?v0 ?v2) false))) false)) :named a281))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Agent_set$)) (=> (and (member$ ?v0 (insert$c ?v1 ?v2)) (and (=> (= ?v0 ?v1) false) (=> (member$ ?v0 ?v2) false))) false)) :named a282))
(assert (! (forall ((?v0 Msg$) (?v1 (-> Msg$ Bool)) (?v2 Msg_list$)) (=> (member$a ?v0 (set$a (takeWhile$a ?v1 ?v2))) (and (member$a ?v0 (set$a ?v2)) (?v1 ?v0)))) :named a283))
(assert (! (forall ((?v0 Agent$) (?v1 (-> Agent$ Bool)) (?v2 Agent_list$)) (=> (member$ ?v0 (set$b (takeWhile$b ?v1 ?v2))) (and (member$ ?v0 (set$b ?v2)) (?v1 ?v0)))) :named a284))
(assert (! (forall ((?v0 Event$) (?v1 (-> Event$ Bool)) (?v2 Event_list$)) (=> (member$b ?v0 (set$ (takeWhile$ ?v1 ?v2))) (and (member$b ?v0 (set$ ?v2)) (?v1 ?v0)))) :named a285))
(assert (! (forall ((?v0 Msg_list$) (?v1 Msg_list$) (?v2 (-> Msg$ Bool)) (?v3 (-> Msg$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Msg$)) (=> (member$a ?v4 (set$a ?v0)) (= (?v2 ?v4) (?v3 ?v4))))) (= (takeWhile$a ?v2 ?v0) (takeWhile$a ?v3 ?v1)))) :named a286))
(assert (! (forall ((?v0 Agent_list$) (?v1 Agent_list$) (?v2 (-> Agent$ Bool)) (?v3 (-> Agent$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Agent$)) (=> (member$ ?v4 (set$b ?v0)) (= (?v2 ?v4) (?v3 ?v4))))) (= (takeWhile$b ?v2 ?v0) (takeWhile$b ?v3 ?v1)))) :named a287))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 (-> Event$ Bool)) (?v3 (-> Event$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Event$)) (=> (member$b ?v4 (set$ ?v0)) (= (?v2 ?v4) (?v3 ?v4))))) (= (takeWhile$ ?v2 ?v0) (takeWhile$ ?v3 ?v1)))) :named a288))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$) (?v2 Msg$)) (=> (member$a ?v0 (set$a ?v1)) (member$a ?v0 (set$a (cons$b ?v2 ?v1))))) :named a289))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$) (?v2 Agent$)) (=> (member$ ?v0 (set$b ?v1)) (member$ ?v0 (set$b (cons$c ?v2 ?v1))))) :named a290))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 Event$)) (=> (member$b ?v0 (set$ ?v1)) (member$b ?v0 (set$ (cons$ ?v2 ?v1))))) :named a291))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (member$a ?v0 (set$a (cons$b ?v0 ?v1)))) :named a292))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (member$ ?v0 (set$b (cons$c ?v0 ?v1)))) :named a293))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (member$b ?v0 (set$ (cons$ ?v0 ?v1)))) :named a294))
(assert (! (forall ((?v0 Msg$) (?v1 Msg$) (?v2 Msg_list$)) (=> (member$a ?v0 (set$a (cons$b ?v1 ?v2))) (or (= ?v0 ?v1) (member$a ?v0 (set$a ?v2))))) :named a295))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Agent_list$)) (=> (member$ ?v0 (set$b (cons$c ?v1 ?v2))) (or (= ?v0 ?v1) (member$ ?v0 (set$b ?v2))))) :named a296))
(assert (! (forall ((?v0 Event$) (?v1 Event$) (?v2 Event_list$)) (=> (member$b ?v0 (set$ (cons$ ?v1 ?v2))) (or (= ?v0 ?v1) (member$b ?v0 (set$ ?v2))))) :named a297))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (=> (and (member$a ?v0 (set$a ?v1)) (and (forall ((?v2 Msg_list$)) (=> (= ?v1 (cons$b ?v0 ?v2)) false)) (forall ((?v2 Msg$) (?v3 Msg_list$)) (=> (and (= ?v1 (cons$b ?v2 ?v3)) (member$a ?v0 (set$a ?v3))) false)))) false)) :named a298))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (=> (and (member$ ?v0 (set$b ?v1)) (and (forall ((?v2 Agent_list$)) (=> (= ?v1 (cons$c ?v0 ?v2)) false)) (forall ((?v2 Agent$) (?v3 Agent_list$)) (=> (and (= ?v1 (cons$c ?v2 ?v3)) (member$ ?v0 (set$b ?v3))) false)))) false)) :named a299))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (=> (and (member$b ?v0 (set$ ?v1)) (and (forall ((?v2 Event_list$)) (=> (= ?v1 (cons$ ?v0 ?v2)) false)) (forall ((?v2 Event$) (?v3 Event_list$)) (=> (and (= ?v1 (cons$ ?v2 ?v3)) (member$b ?v0 (set$ ?v3))) false)))) false)) :named a300))
(assert (! (forall ((?v0 Msg_list$) (?v1 Msg_list$) (?v2 (-> Msg$ Bool)) (?v3 (-> Msg$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Msg$)) (=> (member$a ?v4 (set$a ?v1)) (= (?v2 ?v4) (?v3 ?v4))))) (= (list_all$a ?v2 ?v0) (list_all$a ?v3 ?v1)))) :named a301))
(assert (! (forall ((?v0 Agent_list$) (?v1 Agent_list$) (?v2 (-> Agent$ Bool)) (?v3 (-> Agent$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Agent$)) (=> (member$ ?v4 (set$b ?v1)) (= (?v2 ?v4) (?v3 ?v4))))) (= (list_all$b ?v2 ?v0) (list_all$b ?v3 ?v1)))) :named a302))
(assert (! (forall ((?v0 Event_list$) (?v1 Event_list$) (?v2 (-> Event$ Bool)) (?v3 (-> Event$ Bool))) (=> (and (= ?v0 ?v1) (forall ((?v4 Event$)) (=> (member$b ?v4 (set$ ?v1)) (= (?v2 ?v4) (?v3 ?v4))))) (= (list_all$ ?v2 ?v0) (list_all$ ?v3 ?v1)))) :named a303))
(assert (! (forall ((?v0 (-> Msg$ Bool)) (?v1 Msg_list$) (?v2 (-> Msg$ Bool))) (=> (and (list_all$a ?v0 ?v1) (forall ((?v3 Msg$)) (=> (and (member$a ?v3 (set$a ?v1)) (?v0 ?v3)) (?v2 ?v3)))) (list_all$a ?v2 ?v1))) :named a304))
(assert (! (forall ((?v0 (-> Agent$ Bool)) (?v1 Agent_list$) (?v2 (-> Agent$ Bool))) (=> (and (list_all$b ?v0 ?v1) (forall ((?v3 Agent$)) (=> (and (member$ ?v3 (set$b ?v1)) (?v0 ?v3)) (?v2 ?v3)))) (list_all$b ?v2 ?v1))) :named a305))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event_list$) (?v2 (-> Event$ Bool))) (=> (and (list_all$ ?v0 ?v1) (forall ((?v3 Event$)) (=> (and (member$b ?v3 (set$ ?v1)) (?v0 ?v3)) (?v2 ?v3)))) (list_all$ ?v2 ?v1))) :named a306))
(assert (! (forall ((?v0 (-> Msg$ Bool)) (?v1 Msg_list$)) (= (list_ex1$a ?v0 ?v1) (exists ((?v2 Msg$)) (and (and (member$a ?v2 (set$a ?v1)) (?v0 ?v2)) (forall ((?v3 Msg$)) (=> (and (member$a ?v3 (set$a ?v1)) (?v0 ?v3)) (= ?v3 ?v2))))))) :named a307))
(assert (! (forall ((?v0 (-> Agent$ Bool)) (?v1 Agent_list$)) (= (list_ex1$b ?v0 ?v1) (exists ((?v2 Agent$)) (and (and (member$ ?v2 (set$b ?v1)) (?v0 ?v2)) (forall ((?v3 Agent$)) (=> (and (member$ ?v3 (set$b ?v1)) (?v0 ?v3)) (= ?v3 ?v2))))))) :named a308))
(assert (! (forall ((?v0 (-> Event$ Bool)) (?v1 Event_list$)) (= (list_ex1$ ?v0 ?v1) (exists ((?v2 Event$)) (and (and (member$b ?v2 (set$ ?v1)) (?v0 ?v2)) (forall ((?v3 Event$)) (=> (and (member$b ?v3 (set$ ?v1)) (?v0 ?v3)) (= ?v3 ?v2))))))) :named a309))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (= (member$a ?v0 (set$a ?v1)) (member$g ?v1 ?v0))) :named a310))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (= (member$ ?v0 (set$b ?v1)) (member$h ?v1 ?v0))) :named a311))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (= (member$b ?v0 (set$ ?v1)) (member$d ?v1 ?v0))) :named a312))
(assert (! (forall ((?v0 Event_list$) (?v1 Event$)) (less_eq$a (set$ ?v0) (set$ (cons$ ?v1 ?v0)))) :named a313))
(assert (! (forall ((?v0 Msg_list$) (?v1 Msg$)) (less_eq$ (set$a ?v0) (set$a (cons$b ?v1 ?v0)))) :named a314))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool))) (= (exists ((?v2 Msg$)) (and (member$a ?v2 (set$a ?v0)) (?v1 ?v2))) (exists ((?v2 Msg_list$) (?v3 Msg$) (?v4 Msg_list$)) (and (= ?v0 (append$a ?v2 (cons$b ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Msg$)) (=> (member$a ?v5 (set$a ?v2)) (not (?v1 ?v5))))))))) :named a315))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool))) (= (exists ((?v2 Agent$)) (and (member$ ?v2 (set$b ?v0)) (?v1 ?v2))) (exists ((?v2 Agent_list$) (?v3 Agent$) (?v4 Agent_list$)) (and (= ?v0 (append$b ?v2 (cons$c ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Agent$)) (=> (member$ ?v5 (set$b ?v2)) (not (?v1 ?v5))))))))) :named a316))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool))) (= (exists ((?v2 Event$)) (and (member$b ?v2 (set$ ?v0)) (?v1 ?v2))) (exists ((?v2 Event_list$) (?v3 Event$) (?v4 Event_list$)) (and (= ?v0 (append$ ?v2 (cons$ ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Event$)) (=> (member$b ?v5 (set$ ?v2)) (not (?v1 ?v5))))))))) :named a317))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool))) (= (exists ((?v2 Msg$)) (and (member$a ?v2 (set$a ?v0)) (?v1 ?v2))) (exists ((?v2 Msg_list$) (?v3 Msg$) (?v4 Msg_list$)) (and (= ?v0 (append$a ?v2 (cons$b ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Msg$)) (=> (member$a ?v5 (set$a ?v4)) (not (?v1 ?v5))))))))) :named a318))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool))) (= (exists ((?v2 Agent$)) (and (member$ ?v2 (set$b ?v0)) (?v1 ?v2))) (exists ((?v2 Agent_list$) (?v3 Agent$) (?v4 Agent_list$)) (and (= ?v0 (append$b ?v2 (cons$c ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Agent$)) (=> (member$ ?v5 (set$b ?v4)) (not (?v1 ?v5))))))))) :named a319))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool))) (= (exists ((?v2 Event$)) (and (member$b ?v2 (set$ ?v0)) (?v1 ?v2))) (exists ((?v2 Event_list$) (?v3 Event$) (?v4 Event_list$)) (and (= ?v0 (append$ ?v2 (cons$ ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Event$)) (=> (member$b ?v5 (set$ ?v4)) (not (?v1 ?v5))))))))) :named a320))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (= (member$a ?v0 (set$a ?v1)) (exists ((?v2 Msg_list$) (?v3 Msg_list$)) (and (= ?v1 (append$a ?v2 (cons$b ?v0 ?v3))) (not (member$a ?v0 (set$a ?v2))))))) :named a321))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (= (member$ ?v0 (set$b ?v1)) (exists ((?v2 Agent_list$) (?v3 Agent_list$)) (and (= ?v1 (append$b ?v2 (cons$c ?v0 ?v3))) (not (member$ ?v0 (set$b ?v2))))))) :named a322))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (= (member$b ?v0 (set$ ?v1)) (exists ((?v2 Event_list$) (?v3 Event_list$)) (and (= ?v1 (append$ ?v2 (cons$ ?v0 ?v3))) (not (member$b ?v0 (set$ ?v2))))))) :named a323))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (= (member$a ?v0 (set$a ?v1)) (exists ((?v2 Msg_list$) (?v3 Msg_list$)) (and (= ?v1 (append$a ?v2 (cons$b ?v0 ?v3))) (not (member$a ?v0 (set$a ?v3))))))) :named a324))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (= (member$ ?v0 (set$b ?v1)) (exists ((?v2 Agent_list$) (?v3 Agent_list$)) (and (= ?v1 (append$b ?v2 (cons$c ?v0 ?v3))) (not (member$ ?v0 (set$b ?v3))))))) :named a325))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (= (member$b ?v0 (set$ ?v1)) (exists ((?v2 Event_list$) (?v3 Event_list$)) (and (= ?v1 (append$ ?v2 (cons$ ?v0 ?v3))) (not (member$b ?v0 (set$ ?v3))))))) :named a326))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool))) (=> (and (exists ((?v2 Msg$)) (and (member$a ?v2 (set$a ?v0)) (?v1 ?v2))) (forall ((?v2 Msg_list$) (?v3 Msg$) (?v4 Msg_list$)) (=> (and (= ?v0 (append$a ?v2 (cons$b ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Msg$)) (=> (member$a ?v5 (set$a ?v2)) (not (?v1 ?v5)))))) false))) false)) :named a327))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool))) (=> (and (exists ((?v2 Agent$)) (and (member$ ?v2 (set$b ?v0)) (?v1 ?v2))) (forall ((?v2 Agent_list$) (?v3 Agent$) (?v4 Agent_list$)) (=> (and (= ?v0 (append$b ?v2 (cons$c ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Agent$)) (=> (member$ ?v5 (set$b ?v2)) (not (?v1 ?v5)))))) false))) false)) :named a328))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool))) (=> (and (exists ((?v2 Event$)) (and (member$b ?v2 (set$ ?v0)) (?v1 ?v2))) (forall ((?v2 Event_list$) (?v3 Event$) (?v4 Event_list$)) (=> (and (= ?v0 (append$ ?v2 (cons$ ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Event$)) (=> (member$b ?v5 (set$ ?v2)) (not (?v1 ?v5)))))) false))) false)) :named a329))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool))) (=> (and (exists ((?v2 Msg$)) (and (member$a ?v2 (set$a ?v0)) (?v1 ?v2))) (forall ((?v2 Msg_list$) (?v3 Msg$) (?v4 Msg_list$)) (=> (and (= ?v0 (append$a ?v2 (cons$b ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Msg$)) (=> (member$a ?v5 (set$a ?v4)) (not (?v1 ?v5)))))) false))) false)) :named a330))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool))) (=> (and (exists ((?v2 Agent$)) (and (member$ ?v2 (set$b ?v0)) (?v1 ?v2))) (forall ((?v2 Agent_list$) (?v3 Agent$) (?v4 Agent_list$)) (=> (and (= ?v0 (append$b ?v2 (cons$c ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Agent$)) (=> (member$ ?v5 (set$b ?v4)) (not (?v1 ?v5)))))) false))) false)) :named a331))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool))) (=> (and (exists ((?v2 Event$)) (and (member$b ?v2 (set$ ?v0)) (?v1 ?v2))) (forall ((?v2 Event_list$) (?v3 Event$) (?v4 Event_list$)) (=> (and (= ?v0 (append$ ?v2 (cons$ ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Event$)) (=> (member$b ?v5 (set$ ?v4)) (not (?v1 ?v5)))))) false))) false)) :named a332))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool))) (=> (exists ((?v2 Msg$)) (and (member$a ?v2 (set$a ?v0)) (?v1 ?v2))) (exists ((?v2 Msg_list$) (?v3 Msg$) (?v4 Msg_list$)) (and (= ?v0 (append$a ?v2 (cons$b ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Msg$)) (=> (member$a ?v5 (set$a ?v2)) (not (?v1 ?v5))))))))) :named a333))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool))) (=> (exists ((?v2 Agent$)) (and (member$ ?v2 (set$b ?v0)) (?v1 ?v2))) (exists ((?v2 Agent_list$) (?v3 Agent$) (?v4 Agent_list$)) (and (= ?v0 (append$b ?v2 (cons$c ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Agent$)) (=> (member$ ?v5 (set$b ?v2)) (not (?v1 ?v5))))))))) :named a334))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool))) (=> (exists ((?v2 Event$)) (and (member$b ?v2 (set$ ?v0)) (?v1 ?v2))) (exists ((?v2 Event_list$) (?v3 Event$) (?v4 Event_list$)) (and (= ?v0 (append$ ?v2 (cons$ ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Event$)) (=> (member$b ?v5 (set$ ?v2)) (not (?v1 ?v5))))))))) :named a335))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool))) (=> (exists ((?v2 Msg$)) (and (member$a ?v2 (set$a ?v0)) (?v1 ?v2))) (exists ((?v2 Msg_list$) (?v3 Msg$) (?v4 Msg_list$)) (and (= ?v0 (append$a ?v2 (cons$b ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Msg$)) (=> (member$a ?v5 (set$a ?v4)) (not (?v1 ?v5))))))))) :named a336))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool))) (=> (exists ((?v2 Agent$)) (and (member$ ?v2 (set$b ?v0)) (?v1 ?v2))) (exists ((?v2 Agent_list$) (?v3 Agent$) (?v4 Agent_list$)) (and (= ?v0 (append$b ?v2 (cons$c ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Agent$)) (=> (member$ ?v5 (set$b ?v4)) (not (?v1 ?v5))))))))) :named a337))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool))) (=> (exists ((?v2 Event$)) (and (member$b ?v2 (set$ ?v0)) (?v1 ?v2))) (exists ((?v2 Event_list$) (?v3 Event$) (?v4 Event_list$)) (and (= ?v0 (append$ ?v2 (cons$ ?v3 ?v4))) (and (?v1 ?v3) (forall ((?v5 Event$)) (=> (member$b ?v5 (set$ ?v4)) (not (?v1 ?v5))))))))) :named a338))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (= (member$a ?v0 (set$a ?v1)) (exists ((?v2 Msg_list$) (?v3 Msg_list$)) (= ?v1 (append$a ?v2 (cons$b ?v0 ?v3)))))) :named a339))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (= (member$ ?v0 (set$b ?v1)) (exists ((?v2 Agent_list$) (?v3 Agent_list$)) (= ?v1 (append$b ?v2 (cons$c ?v0 ?v3)))))) :named a340))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (= (member$b ?v0 (set$ ?v1)) (exists ((?v2 Event_list$) (?v3 Event_list$)) (= ?v1 (append$ ?v2 (cons$ ?v0 ?v3)))))) :named a341))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$) (?v2 Msg_list$) (?v3 Msg_list$) (?v4 Msg_list$)) (=> (and (not (member$a ?v0 (set$a ?v1))) (not (member$a ?v0 (set$a ?v2)))) (= (= (append$a ?v1 (cons$b ?v0 ?v2)) (append$a ?v3 (cons$b ?v0 ?v4))) (and (= ?v1 ?v3) (= ?v2 ?v4))))) :named a342))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$) (?v2 Agent_list$) (?v3 Agent_list$) (?v4 Agent_list$)) (=> (and (not (member$ ?v0 (set$b ?v1))) (not (member$ ?v0 (set$b ?v2)))) (= (= (append$b ?v1 (cons$c ?v0 ?v2)) (append$b ?v3 (cons$c ?v0 ?v4))) (and (= ?v1 ?v3) (= ?v2 ?v4))))) :named a343))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$) (?v2 Event_list$) (?v3 Event_list$) (?v4 Event_list$)) (=> (and (not (member$b ?v0 (set$ ?v1))) (not (member$b ?v0 (set$ ?v2)))) (= (= (append$ ?v1 (cons$ ?v0 ?v2)) (append$ ?v3 (cons$ ?v0 ?v4))) (and (= ?v1 ?v3) (= ?v2 ?v4))))) :named a344))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool))) (=> (and (exists ((?v2 Msg$)) (and (member$a ?v2 (set$a ?v0)) (?v1 ?v2))) (forall ((?v2 Msg_list$) (?v3 Msg$) (?v4 Msg_list$)) (=> (and (= ?v0 (append$a ?v2 (cons$b ?v3 ?v4))) (?v1 ?v3)) false))) false)) :named a345))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool))) (=> (and (exists ((?v2 Agent$)) (and (member$ ?v2 (set$b ?v0)) (?v1 ?v2))) (forall ((?v2 Agent_list$) (?v3 Agent$) (?v4 Agent_list$)) (=> (and (= ?v0 (append$b ?v2 (cons$c ?v3 ?v4))) (?v1 ?v3)) false))) false)) :named a346))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool))) (=> (and (exists ((?v2 Event$)) (and (member$b ?v2 (set$ ?v0)) (?v1 ?v2))) (forall ((?v2 Event_list$) (?v3 Event$) (?v4 Event_list$)) (=> (and (= ?v0 (append$ ?v2 (cons$ ?v3 ?v4))) (?v1 ?v3)) false))) false)) :named a347))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (=> (member$a ?v0 (set$a ?v1)) (exists ((?v2 Msg_list$) (?v3 Msg_list$)) (and (= ?v1 (append$a ?v2 (cons$b ?v0 ?v3))) (not (member$a ?v0 (set$a ?v2))))))) :named a348))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (=> (member$ ?v0 (set$b ?v1)) (exists ((?v2 Agent_list$) (?v3 Agent_list$)) (and (= ?v1 (append$b ?v2 (cons$c ?v0 ?v3))) (not (member$ ?v0 (set$b ?v2))))))) :named a349))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (=> (member$b ?v0 (set$ ?v1)) (exists ((?v2 Event_list$) (?v3 Event_list$)) (and (= ?v1 (append$ ?v2 (cons$ ?v0 ?v3))) (not (member$b ?v0 (set$ ?v2))))))) :named a350))
(assert (! (forall ((?v0 Msg_list$) (?v1 (-> Msg$ Bool))) (=> (exists ((?v2 Msg$)) (and (member$a ?v2 (set$a ?v0)) (?v1 ?v2))) (exists ((?v2 Msg_list$) (?v3 Msg$) (?v4 Msg_list$)) (and (= ?v0 (append$a ?v2 (cons$b ?v3 ?v4))) (?v1 ?v3))))) :named a351))
(assert (! (forall ((?v0 Agent_list$) (?v1 (-> Agent$ Bool))) (=> (exists ((?v2 Agent$)) (and (member$ ?v2 (set$b ?v0)) (?v1 ?v2))) (exists ((?v2 Agent_list$) (?v3 Agent$) (?v4 Agent_list$)) (and (= ?v0 (append$b ?v2 (cons$c ?v3 ?v4))) (?v1 ?v3))))) :named a352))
(assert (! (forall ((?v0 Event_list$) (?v1 (-> Event$ Bool))) (=> (exists ((?v2 Event$)) (and (member$b ?v2 (set$ ?v0)) (?v1 ?v2))) (exists ((?v2 Event_list$) (?v3 Event$) (?v4 Event_list$)) (and (= ?v0 (append$ ?v2 (cons$ ?v3 ?v4))) (?v1 ?v3))))) :named a353))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (=> (member$a ?v0 (set$a ?v1)) (exists ((?v2 Msg_list$) (?v3 Msg_list$)) (and (= ?v1 (append$a ?v2 (cons$b ?v0 ?v3))) (not (member$a ?v0 (set$a ?v3))))))) :named a354))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (=> (member$ ?v0 (set$b ?v1)) (exists ((?v2 Agent_list$) (?v3 Agent_list$)) (and (= ?v1 (append$b ?v2 (cons$c ?v0 ?v3))) (not (member$ ?v0 (set$b ?v3))))))) :named a355))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (=> (member$b ?v0 (set$ ?v1)) (exists ((?v2 Event_list$) (?v3 Event_list$)) (and (= ?v1 (append$ ?v2 (cons$ ?v0 ?v3))) (not (member$b ?v0 (set$ ?v3))))))) :named a356))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (=> (member$a ?v0 (set$a ?v1)) (exists ((?v2 Msg_list$) (?v3 Msg_list$)) (= ?v1 (append$a ?v2 (cons$b ?v0 ?v3)))))) :named a357))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (=> (member$ ?v0 (set$b ?v1)) (exists ((?v2 Agent_list$) (?v3 Agent_list$)) (= ?v1 (append$b ?v2 (cons$c ?v0 ?v3)))))) :named a358))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (=> (member$b ?v0 (set$ ?v1)) (exists ((?v2 Event_list$) (?v3 Event_list$)) (= ?v1 (append$ ?v2 (cons$ ?v0 ?v3)))))) :named a359))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Msg$) (?v3 Event_list$)) (=> (member$b (says$ ?v0 ?v1 ?v2) (set$ ?v3)) (member$a ?v2 (knows$ ?v0 ?v3)))) :named a360))
(assert (! (forall ((?v0 Agent$) (?v1 Msg$) (?v2 Event_list$)) (=> (member$b (notes$ ?v0 ?v1) (set$ ?v2)) (member$a ?v1 (knows$ ?v0 ?v2)))) :named a361))
(assert (! (forall ((?v0 Msg$) (?v1 Msg_list$)) (! (= (insert$d ?v0 ?v1) (ite (member$a ?v0 (set$a ?v1)) ?v1 (cons$b ?v0 ?v1))) :pattern ((insert$d ?v0 ?v1)))) :named a362))
(assert (! (forall ((?v0 Agent$) (?v1 Agent_list$)) (! (= (insert$e ?v0 ?v1) (ite (member$ ?v0 (set$b ?v1)) ?v1 (cons$c ?v0 ?v1))) :pattern ((insert$e ?v0 ?v1)))) :named a363))
(assert (! (forall ((?v0 Event$) (?v1 Event_list$)) (! (= (insert$a ?v0 ?v1) (ite (member$b ?v0 (set$ ?v1)) ?v1 (cons$ ?v0 ?v1))) :pattern ((insert$a ?v0 ?v1)))) :named a364))
(assert (! (forall ((?v0 Agent$) (?v1 Agent$) (?v2 Msg$) (?v3 Event_list$)) (=> (member$b (says$ ?v0 ?v1 ?v2) (set$ ?v3)) (member$a ?v2 (knows$ spy$ ?v3)))) :named a365))
(assert (! (forall ((?v0 Agent$) (?v1 Msg$) (?v2 Event_list$)) (=> (and (not (= ?v0 spy$)) (member$b (gets$ ?v0 ?v1) (set$ ?v2))) (member$a ?v1 (knows$ ?v0 ?v2)))) :named a366))
(assert (! (forall ((?v0 Msg$) (?v1 Event_list$)) (=> (member$a ?v0 (knows$ spy$ ?v1)) (exists ((?v2 Agent$) (?v3 Agent$)) (or (member$b (says$ ?v2 ?v3 ?v0) (set$ ?v1)) (or (member$b (notes$ ?v2 ?v0) (set$ ?v1)) (member$a ?v0 (initState$ spy$))))))) :named a367))
(assert (! (forall ((?v0 Msg_list$) (?v1 Msg$) (?v2 Msg_list_set$)) (=> (member$e (append$a ?v0 (cons$b ?v1 nil$b)) ?v2) (member$a ?v1 (succ$a ?v2 ?v0)))) :named a368))
(assert (! (forall ((?v0 Agent_list$) (?v1 Agent$) (?v2 Agent_list_set$)) (=> (member$f (append$b ?v0 (cons$c ?v1 nil$c)) ?v2) (member$ ?v1 (succ$b ?v2 ?v0)))) :named a369))
(assert (! (forall ((?v0 Event_list$) (?v1 Event$) (?v2 Event_list_set$)) (=> (member$c (append$ ?v0 (cons$ ?v1 nil$)) ?v2) (member$b ?v1 (succ$ ?v2 ?v0)))) :named a370))
(assert (! (forall ((?v0 Event_list$) (?v1 Agent$) (?v2 Msg$)) (= (knows$ spy$ (append$ ?v0 (cons$ (notes$ ?v1 ?v2) nil$))) (ite (member$ ?v1 bad$) (insert$ ?v2 (knows$ spy$ ?v0)) (knows$ spy$ ?v0)))) :named a371))
(assert (! (member$ spy$ bad$) :named a372))
(assert (! (forall ((?v0 Agent$) (?v1 Msg$) (?v2 Event_list$)) (! (= (knows$ spy$ (cons$ (notes$ ?v0 ?v1) ?v2)) (ite (member$ ?v0 bad$) (insert$ ?v1 (knows$ spy$ ?v2)) (knows$ spy$ ?v2))) :pattern ((cons$ (notes$ ?v0 ?v1) ?v2)))) :named a373))
(assert (! (forall ((?v0 Agent$) (?v1 Msg$) (?v2 Event_list$)) (=> (and (member$b (notes$ ?v0 ?v1) (set$ ?v2)) (member$ ?v0 bad$)) (member$a ?v1 (knows$ spy$ ?v2)))) :named a374))
(assert (! (forall ((?v0 Agent$) (?v1 Event$) (?v2 Event_list$)) (= (knows$ ?v0 (cons$ ?v1 ?v2)) (ite (= ?v0 spy$) (case_event$ (uuo$ ?v2) (uup$ ?v2) (uuq$ ?v2) ?v1) (case_event$ (uur$ ?v0 ?v2) (uus$ ?v0 ?v2) (uus$ ?v0 ?v2) ?v1)))) :named a375))
(check-sat)