%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP087^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n020.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 300s % DateTime : Wed Jun 3 08:25:01 AM UTC 2026 % Result : Theorem 0.44s 0.91s % Output : Proof 0.44s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP087^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n020.cluster.edu % 0.17/0.34 % Model : x86_64 x86_64 % 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.34 % Memory : 8042.1875MB % 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.34 % CPULimit : 300 % 0.17/0.34 % WCLimit : 300 % 0.17/0.34 % DateTime : Tue Jun 2 04:14:10 EDT 2026 % 0.17/0.34 % CPUTime : % 0.41/0.60 %----Proving TH0 % 0.44/0.91 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.44/0.91 % SZS status Theorem % 0.44/0.91 % SZS output start Proof % 0.44/0.91 ( % 0.44/0.91 (declare-sort tptp.secrecy_specID 0) % 0.44/0.91 (declare-sort tptp.set_Secrecy_Keys 0) % 0.44/0.91 (declare-sort tptp.set_Secrecy_Secrets 0) % 0.44/0.91 (declare-sort tptp.set_Secrecy_chanID 0) % 0.44/0.91 (declare-sort tptp.set_Secrecy_specID 0) % 0.44/0.91 (declare-sort tptp.set_Secrecy_KS 0) % 0.44/0.91 (declare-sort tptp.secrecy_KS 0) % 0.44/0.91 (declare-sort tptp.secrecy_Expression 0) % 0.44/0.91 (declare-sort tptp.secrecy_Keys 0) % 0.44/0.91 (declare-sort tptp.secrecy_Secrets 0) % 0.44/0.91 (declare-sort tptp.secrecy_chanID 0) % 0.44/0.91 (declare-sort tptp.list_S529945141ession 0) % 0.44/0.91 (declare-sort tptp.nat 0) % 0.44/0.91 (declare-const tptp.bot_bo1785112429specID tptp.set_Secrecy_specID) % 0.44/0.91 (declare-const tptp.bot_bo443197316chanID tptp.set_Secrecy_chanID) % 0.44/0.91 (declare-const tptp.insert1671894227specID (-> tptp.secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.44/0.91 (declare-const tptp.insert751661162chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.44/0.91 (declare-const tptp.bot_bo1943466239ecy_KS tptp.set_Secrecy_KS) % 0.44/0.91 (declare-const tptp.member_Secrecy_KS (-> tptp.secrecy_KS tptp.set_Secrecy_KS Bool)) % 0.44/0.91 (declare-const tptp.bot_bo1124690338ecrets tptp.set_Secrecy_Secrets) % 0.44/0.91 (declare-const tptp.member2138796287ecrets (-> tptp.secrecy_Secrets tptp.set_Secrecy_Secrets Bool)) % 0.44/0.91 (declare-const tptp.bot_bo701486667y_Keys tptp.set_Secrecy_Keys) % 0.44/0.91 (declare-const tptp.member_Secrecy_Keys (-> tptp.secrecy_Keys tptp.set_Secrecy_Keys Bool)) % 0.44/0.91 (declare-const tptp.member740727610specID (-> tptp.secrecy_specID tptp.set_Secrecy_specID Bool)) % 0.44/0.91 (declare-const tptp.member1967978193chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID Bool)) % 0.44/0.91 (declare-const tptp.exprChannel (-> tptp.secrecy_chanID tptp.secrecy_Expression Bool)) % 0.44/0.91 (declare-const tptp.ins (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.44/0.91 (declare-const tptp.loc (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.44/0.91 (declare-const tptp.specKeysSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.44/0.91 (declare-const tptp.secrecy_sKS (-> tptp.secrecy_Secrets tptp.secrecy_KS)) % 0.44/0.91 (declare-const tptp.secrecy_sE (-> tptp.secrecy_Secrets tptp.secrecy_Expression)) % 0.44/0.91 (declare-const tptp.mem_Se1967555118ession (-> tptp.secrecy_Expression tptp.list_S529945141ession Bool)) % 0.44/0.91 (declare-const tptp.secrecy_kKS (-> tptp.secrecy_Keys tptp.secrecy_KS)) % 0.44/0.91 (declare-const tptp.secrecy_kE (-> tptp.secrecy_Keys tptp.secrecy_Expression)) % 0.44/0.91 (declare-const tptp.out (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.44/0.91 (declare-const tptp.correc17873122onKeys (-> tptp.secrecy_specID Bool)) % 0.44/0.91 (declare-const tptp.ord_le1802272080chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID Bool)) % 0.44/0.91 (declare-const tptp.knowle233900195orrect (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.44/0.91 (declare-const tptp.specKeys (-> tptp.secrecy_specID tptp.set_Secrecy_Keys)) % 0.44/0.91 (declare-const tptp.specSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_Secrets)) % 0.44/0.91 (declare-const tptp.correc990227761ionOut (-> tptp.secrecy_specID Bool)) % 0.44/0.91 (declare-const tptp.correc965049635ionLoc (-> tptp.secrecy_specID Bool)) % 0.44/0.91 (declare-const tptp.localSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.44/0.91 (declare-const tptp.insert_Secrecy_Keys (-> tptp.secrecy_Keys tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys)) % 0.44/0.91 (declare-const tptp.insert565337510ecrets (-> tptp.secrecy_Secrets tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets)) % 0.44/0.91 (declare-const tptp.insert_Secrecy_KS (-> tptp.secrecy_KS tptp.set_Secrecy_KS tptp.set_Secrecy_KS)) % 0.44/0.91 (declare-const tptp.collec1545797240specID (-> (-> tptp.secrecy_specID Bool) tptp.set_Secrecy_specID)) % 0.44/0.91 (declare-const tptp.key tptp.secrecy_Keys) % 0.44/0.91 (declare-const tptp.knowle945212990e_know (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.44/0.91 (declare-const tptp.is_sin1442426433ecy_KS (-> tptp.set_Secrecy_KS Bool)) % 0.44/0.91 (declare-const tptp.sup_su1301156759ecy_KS (-> tptp.set_Secrecy_KS tptp.set_Secrecy_KS tptp.set_Secrecy_KS)) % 0.44/0.91 (declare-const tptp.p tptp.secrecy_specID) % 0.44/0.91 (declare-const tptp.is_sin1002224330ecrets (-> tptp.set_Secrecy_Secrets Bool)) % 0.44/0.91 (declare-const tptp.sup_su1712599557specID (-> tptp.set_Secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.44/0.91 (declare-const tptp.collec625564175chanID (-> (-> tptp.secrecy_chanID Bool) tptp.set_Secrecy_chanID)) % 0.44/0.91 (declare-const tptp.sup_su1029080330ecrets (-> tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets)) % 0.44/0.91 (declare-const tptp.collect_Secrecy_Keys (-> (-> tptp.secrecy_Keys Bool) tptp.set_Secrecy_Keys)) % 0.44/0.91 (declare-const tptp.m tptp.secrecy_KS) % 0.44/0.91 (declare-const tptp.the_el2054381829chanID (-> tptp.set_Secrecy_chanID tptp.secrecy_chanID)) % 0.44/0.91 (declare-const tptp.subcomponents (-> tptp.secrecy_specID tptp.set_Secrecy_specID)) % 0.44/0.91 (declare-const tptp.pq tptp.secrecy_specID) % 0.44/0.91 (declare-const tptp.sup_su552545507y_Keys (-> tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys)) % 0.44/0.91 (declare-const tptp.q tptp.secrecy_specID) % 0.44/0.91 (declare-const tptp.collect_Secrecy_KS (-> (-> tptp.secrecy_KS Bool) tptp.set_Secrecy_KS)) % 0.44/0.91 (declare-const tptp.correctCompositionIn (-> tptp.secrecy_specID Bool)) % 0.44/0.91 (declare-const tptp.the_el827131246specID (-> tptp.set_Secrecy_specID tptp.secrecy_specID)) % 0.44/0.91 (declare-const tptp.sup_su370684444chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.44/0.91 (declare-const tptp.collec836099393ecrets (-> (-> tptp.secrecy_Secrets Bool) tptp.set_Secrecy_Secrets)) % 0.44/0.91 (declare-const tptp.correctCompositionKS (-> tptp.secrecy_specID Bool)) % 0.44/0.91 (declare-const tptp.is_sin1096471309y_Keys (-> tptp.set_Secrecy_Keys Bool)) % 0.44/0.91 (declare-const tptp.secrec1016742679ession (-> tptp.secrecy_KS tptp.secrecy_Expression)) % 0.44/0.91 (define tptp.is_emp1849217361specID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_specID))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo1785112429specID)))) % 0.44/0.91 (define tptp.is_emp928984296chanID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_chanID))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo443197316chanID)))) % 0.44/0.91 (define tptp.is_sin1501507247specID () (let ((_let_1 (@var "X2" tptp.secrecy_specID))) (let ((_let_2 (@var "A3" tptp.set_Secrecy_specID))) (lambda (@list _let_2) (exists (@list _let_1) (= _let_2 (_ (_ tptp.insert1671894227specID _let_1) tptp.bot_bo1785112429specID))))))) % 0.44/0.91 (define tptp.is_sin581274182chanID () (let ((_let_1 (@var "X2" tptp.secrecy_chanID))) (let ((_let_2 (@var "A3" tptp.set_Secrecy_chanID))) (lambda (@list _let_2) (exists (@list _let_1) (= _let_2 (_ (_ tptp.insert751661162chanID _let_1) tptp.bot_bo443197316chanID))))))) % 0.44/0.91 (define tptp.bot_bot_Secrecy_KS_o () (let ((_let_1 (@var "X2" tptp.secrecy_KS))) (lambda (@list _let_1) (_ (_ tptp.member_Secrecy_KS _let_1) tptp.bot_bo1943466239ecy_KS)))) % 0.44/0.91 (define tptp.bot_bo1909946299rets_o () (let ((_let_1 (@var "X2" tptp.secrecy_Secrets))) (lambda (@list _let_1) (_ (_ tptp.member2138796287ecrets _let_1) tptp.bot_bo1124690338ecrets)))) % 0.44/0.91 (define tptp.bot_bo2072920570Keys_o () (let ((_let_1 (@var "X2" tptp.secrecy_Keys))) (lambda (@list _let_1) (_ (_ tptp.member_Secrecy_Keys _let_1) tptp.bot_bo701486667y_Keys)))) % 0.44/0.91 (define tptp.bot_bo1767780696ecID_o () (let ((_let_1 (@var "X2" tptp.secrecy_specID))) (lambda (@list _let_1) (_ (_ tptp.member740727610specID _let_1) tptp.bot_bo1785112429specID)))) % 0.44/0.91 (define tptp.bot_bo1012329985anID_o () (let ((_let_1 (@var "X2" tptp.secrecy_chanID))) (lambda (@list _let_1) (_ (_ tptp.member1967978193chanID _let_1) tptp.bot_bo443197316chanID)))) % 0.44/0.91 (define tptp.ine () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_3 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.member1967978193chanID _let_2) (_ tptp.ins _let_3)) (_ (_ tptp.exprChannel _let_2) _let_1)))))))) % 0.44/0.91 (define tptp.ineM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_3 (@var "M3" tptp.set_Secrecy_chanID))) (let ((_let_4 (_ tptp.member1967978193chanID _let_2))) (let ((_let_5 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_5 _let_3 _let_1) (exists (@list _let_2) (and (_ _let_4 (_ tptp.ins _let_5)) (_ _let_4 _let_3) (_ (_ tptp.exprChannel _let_2) _let_1)))))))))) % 0.44/0.91 (define tptp.ine_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (_ (_ tptp.exprChannel _let_2) _let_1))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.member1967978193chanID _let_2))) (let ((_let_6 (_ _let_5 (_ tptp.ins _let_4)))) (let ((_let_7 (@var "ChSet2" tptp.set_Secrecy_chanID))) (let ((_let_8 (_ _let_5 _let_7))) (let ((_let_9 (@list _let_2))) (lambda (@list _let_4 _let_7 _let_1) (and (forall _let_9 (=> _let_8 (and _let_6 _let_3))) (forall _let_9 (=> (and (not _let_8) _let_6) (not _let_3))))))))))))))) % 0.44/0.91 (define tptp.ine_ex1303305700Single () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.ins _let_4))) (lambda (@list _let_4 _let_3 _let_1) (and (_ (_ tptp.member1967978193chanID _let_3) _let_5) (_ (_ tptp.exprChannel _let_3) _let_1) (forall (@list _let_2 (@var "T" tptp.nat)) (=> (and (_ (_ tptp.member1967978193chanID _let_2) _let_5) (not (= _let_2 _let_3))) (not (_ (_ tptp.exprChannel _let_2) _let_1)))))))))))) % 0.44/0.91 (define tptp.locStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X2" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y3" tptp.set_Secrecy_chanID))) (lambda (@list _let_2 _let_1) (_ (_ (lambda (@list _let_4 _let_3) (= _let_4 _let_3)) (_ tptp.loc _let_2)) _let_1))))))) % 0.44/0.91 (define tptp.inStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X2" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y3" tptp.set_Secrecy_chanID))) (lambda (@list _let_2 _let_1) (_ (_ (lambda (@list _let_4 _let_3) (= _let_4 _let_3)) (_ tptp.ins _let_2)) _let_1))))))) % 0.44/0.91 (define tptp.notSpe1586871396tsExpr () (let ((_let_1 (@var "P2" tptp.secrecy_specID))) (let ((_let_2 (_ tptp.specKeysSecrets _let_1))) (let ((_let_3 (@var "Y4" tptp.secrecy_Secrets))) (let ((_let_4 (@var "E3" tptp.list_S529945141ession))) (let ((_let_5 (@var "X2" tptp.secrecy_Keys))) (lambda (@list _let_1 _let_4) (and (forall (@list _let_5) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_kE _let_5)) _let_4) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS _let_5)) _let_2)))) (forall (@list _let_3) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_sE _let_3)) _let_4) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS _let_3)) _let_2)))))))))))) % 0.44/0.91 (define tptp.eout () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_3 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.member1967978193chanID _let_2) (_ tptp.out _let_3)) (_ (_ tptp.exprChannel _let_2) _let_1)))))))) % 0.44/0.91 (define tptp.eoutM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_3 (@var "M3" tptp.set_Secrecy_chanID))) (let ((_let_4 (_ tptp.member1967978193chanID _let_2))) (let ((_let_5 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_5 _let_3 _let_1) (exists (@list _let_2) (and (_ _let_4 (_ tptp.out _let_5)) (_ _let_4 _let_3) (_ (_ tptp.exprChannel _let_2) _let_1)))))))))) % 0.44/0.91 (define tptp.out_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (_ (_ tptp.exprChannel _let_2) _let_1))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.member1967978193chanID _let_2))) (let ((_let_6 (_ _let_5 (_ tptp.out _let_4)))) (let ((_let_7 (@var "ChSet2" tptp.set_Secrecy_chanID))) (let ((_let_8 (_ _let_5 _let_7))) (let ((_let_9 (@list _let_2))) (lambda (@list _let_4 _let_7 _let_1) (and (forall _let_9 (=> _let_8 (and _let_6 _let_3))) (forall _let_9 (=> (and (not _let_8) _let_6) (not _let_3))))))))))))))) % 0.44/0.91 (define tptp.out_ex985543062Single () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X2" tptp.secrecy_chanID))) (let ((_let_3 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.out _let_4))) (lambda (@list _let_4 _let_3 _let_1) (and (_ (_ tptp.member1967978193chanID _let_3) _let_5) (_ (_ tptp.exprChannel _let_3) _let_1) (forall (@list _let_2 (@var "T" tptp.nat)) (=> (and (_ (_ tptp.member1967978193chanID _let_2) _let_5) (not (= _let_2 _let_3))) (not (_ (_ tptp.exprChannel _let_2) _let_1)))))))))))) % 0.44/0.91 (define @t1 () (_ tptp.correctCompositionKS tptp.pq)) % 0.44/0.91 (define @t2 () (_ tptp.specKeysSecrets tptp.q)) % 0.44/0.91 (define @t3 () (_ tptp.member_Secrecy_KS tptp.m)) % 0.44/0.91 (define @t4 () (not (_ @t3 @t2))) % 0.44/0.91 (define @t5 () (_ tptp.specKeysSecrets tptp.p)) % 0.44/0.91 (define @t6 () (not (_ @t3 @t5))) % 0.44/0.91 (define @t7 () (_ (_ tptp.insert1671894227specID tptp.q) tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t8 () (_ tptp.insert1671894227specID tptp.p)) % 0.44/0.91 (define @t9 () (_ @t8 @t7)) % 0.44/0.91 (define @t10 () (_ tptp.subcomponents tptp.pq)) % 0.44/0.91 (define @t11 () (= @t10 @t9)) % 0.44/0.91 (define @t12 () (_ tptp.secrecy_kKS tptp.key)) % 0.44/0.91 (define @t13 () (@var "Q" tptp.secrecy_specID)) % 0.44/0.91 (define @t14 () (_ tptp.specKeysSecrets @t13)) % 0.44/0.91 (define @t15 () (@var "Ks" tptp.secrecy_KS)) % 0.44/0.91 (define @t16 () (_ tptp.member_Secrecy_KS @t15)) % 0.44/0.91 (define @t17 () (_ @t16 @t14)) % 0.44/0.91 (define @t18 () (@var "P" tptp.secrecy_specID)) % 0.44/0.91 (define @t19 () (_ tptp.specKeysSecrets @t18)) % 0.44/0.91 (define @t20 () (_ @t16 @t19)) % 0.44/0.91 (define @t21 () (or @t20 @t17)) % 0.44/0.91 (define @t22 () (@var "PQ" tptp.secrecy_specID)) % 0.44/0.91 (define @t23 () (_ tptp.specKeysSecrets @t22)) % 0.44/0.91 (define @t24 () (_ @t16 @t23)) % 0.44/0.91 (define @t25 () (=> @t24 @t21)) % 0.44/0.91 (define @t26 () (_ tptp.correctCompositionKS @t22)) % 0.44/0.91 (define @t27 () (=> @t26 @t25)) % 0.44/0.91 (define @t28 () (_ (_ tptp.insert1671894227specID @t13) tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t29 () (_ tptp.insert1671894227specID @t18)) % 0.44/0.91 (define @t30 () (_ @t29 @t28)) % 0.44/0.91 (define @t31 () (_ tptp.subcomponents @t22)) % 0.44/0.91 (define @t32 () (= @t31 @t30)) % 0.44/0.91 (define @t33 () (@list @t22 @t18 @t13 @t15)) % 0.44/0.91 (define @t34 () (forall @t33 (=> @t32 @t27))) % 0.44/0.91 (define @t35 () (not @t24)) % 0.44/0.91 (define @t36 () (not @t17)) % 0.44/0.91 (define @t37 () (not @t20)) % 0.44/0.91 (define @t38 () (@var "A" tptp.secrecy_KS)) % 0.44/0.91 (define @t39 () (_ tptp.insert_Secrecy_KS @t38)) % 0.44/0.91 (define @t40 () (_ @t39 tptp.bot_bo1943466239ecy_KS)) % 0.44/0.91 (define @t41 () (_ tptp.member_Secrecy_KS @t38)) % 0.44/0.91 (define @t42 () (@list @t38)) % 0.44/0.91 (define @t43 () (@var "A" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t44 () (_ tptp.insert565337510ecrets @t43)) % 0.44/0.91 (define @t45 () (_ @t44 tptp.bot_bo1124690338ecrets)) % 0.44/0.91 (define @t46 () (_ tptp.member2138796287ecrets @t43)) % 0.44/0.91 (define @t47 () (@list @t43)) % 0.44/0.91 (define @t48 () (@var "A" tptp.secrecy_Keys)) % 0.44/0.91 (define @t49 () (_ tptp.insert_Secrecy_Keys @t48)) % 0.44/0.91 (define @t50 () (_ @t49 tptp.bot_bo701486667y_Keys)) % 0.44/0.91 (define @t51 () (_ tptp.member_Secrecy_Keys @t48)) % 0.44/0.91 (define @t52 () (@list @t48)) % 0.44/0.91 (define @t53 () (@var "A" tptp.secrecy_specID)) % 0.44/0.91 (define @t54 () (_ tptp.insert1671894227specID @t53)) % 0.44/0.91 (define @t55 () (_ @t54 tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t56 () (_ tptp.member740727610specID @t53)) % 0.44/0.91 (define @t57 () (@list @t53)) % 0.44/0.91 (define @t58 () (@var "A" tptp.secrecy_chanID)) % 0.44/0.91 (define @t59 () (_ tptp.insert751661162chanID @t58)) % 0.44/0.91 (define @t60 () (_ @t59 tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t61 () (_ tptp.member1967978193chanID @t58)) % 0.44/0.91 (define @t62 () (@list @t58)) % 0.44/0.91 (define @t63 () (@var "Y1" tptp.secrecy_Keys)) % 0.44/0.91 (define @t64 () (@var "X1" tptp.secrecy_Keys)) % 0.44/0.91 (define @t65 () (= @t64 @t63)) % 0.44/0.91 (define @t66 () (_ tptp.secrecy_kKS @t64)) % 0.44/0.91 (define @t67 () (@list @t64 @t63)) % 0.44/0.91 (define @t68 () (@var "B" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t69 () (@var "B2" tptp.secrecy_KS)) % 0.44/0.91 (define @t70 () (_ tptp.insert_Secrecy_KS @t69)) % 0.44/0.91 (define @t71 () (_ @t70 @t68)) % 0.44/0.91 (define @t72 () (_ @t41 @t71)) % 0.44/0.91 (define @t73 () (= @t38 @t69)) % 0.44/0.91 (define @t74 () (_ @t41 @t68)) % 0.44/0.91 (define @t75 () (@list @t38 @t68 @t69)) % 0.44/0.91 (define @t76 () (@var "B" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t77 () (@var "B2" tptp.secrecy_chanID)) % 0.44/0.91 (define @t78 () (_ tptp.insert751661162chanID @t77)) % 0.44/0.91 (define @t79 () (_ @t78 @t76)) % 0.44/0.91 (define @t80 () (_ @t61 @t79)) % 0.44/0.91 (define @t81 () (= @t58 @t77)) % 0.44/0.91 (define @t82 () (_ @t61 @t76)) % 0.44/0.91 (define @t83 () (@list @t58 @t76 @t77)) % 0.44/0.91 (define @t84 () (@var "B" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t85 () (@var "B2" tptp.secrecy_specID)) % 0.44/0.91 (define @t86 () (_ tptp.insert1671894227specID @t85)) % 0.44/0.91 (define @t87 () (_ @t86 @t84)) % 0.44/0.91 (define @t88 () (_ @t56 @t87)) % 0.44/0.91 (define @t89 () (= @t53 @t85)) % 0.44/0.91 (define @t90 () (_ @t56 @t84)) % 0.44/0.91 (define @t91 () (@list @t53 @t84 @t85)) % 0.44/0.91 (define @t92 () (@var "B" tptp.set_Secrecy_Secrets)) % 0.44/0.91 (define @t93 () (@var "B2" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t94 () (_ tptp.insert565337510ecrets @t93)) % 0.44/0.91 (define @t95 () (_ @t94 @t92)) % 0.44/0.91 (define @t96 () (_ @t46 @t95)) % 0.44/0.91 (define @t97 () (= @t43 @t93)) % 0.44/0.91 (define @t98 () (_ @t46 @t92)) % 0.44/0.91 (define @t99 () (@list @t43 @t92 @t93)) % 0.44/0.91 (define @t100 () (@var "B" tptp.set_Secrecy_Keys)) % 0.44/0.91 (define @t101 () (@var "B2" tptp.secrecy_Keys)) % 0.44/0.91 (define @t102 () (_ tptp.insert_Secrecy_Keys @t101)) % 0.44/0.91 (define @t103 () (_ @t102 @t100)) % 0.44/0.91 (define @t104 () (_ @t51 @t103)) % 0.44/0.91 (define @t105 () (= @t48 @t101)) % 0.44/0.91 (define @t106 () (_ @t51 @t100)) % 0.44/0.91 (define @t107 () (@list @t48 @t100 @t101)) % 0.44/0.91 (define @t108 () (@var "A2" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t109 () (_ @t41 @t108)) % 0.44/0.91 (define @t110 () (_ @t41 (_ @t70 @t108))) % 0.44/0.91 (define @t111 () (@list @t38 @t69 @t108)) % 0.44/0.91 (define @t112 () (@var "A2" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t113 () (_ @t61 @t112)) % 0.44/0.91 (define @t114 () (_ @t61 (_ @t78 @t112))) % 0.44/0.91 (define @t115 () (@list @t58 @t77 @t112)) % 0.44/0.91 (define @t116 () (@var "A2" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t117 () (_ @t56 @t116)) % 0.44/0.91 (define @t118 () (_ @t56 (_ @t86 @t116))) % 0.44/0.91 (define @t119 () (@list @t53 @t85 @t116)) % 0.44/0.91 (define @t120 () (@var "A2" tptp.set_Secrecy_Secrets)) % 0.44/0.91 (define @t121 () (_ @t46 @t120)) % 0.44/0.91 (define @t122 () (_ @t46 (_ @t94 @t120))) % 0.44/0.91 (define @t123 () (@list @t43 @t93 @t120)) % 0.44/0.91 (define @t124 () (@var "A2" tptp.set_Secrecy_Keys)) % 0.44/0.91 (define @t125 () (_ @t51 @t124)) % 0.44/0.91 (define @t126 () (_ @t51 (_ @t102 @t124))) % 0.44/0.91 (define @t127 () (@list @t48 @t101 @t124)) % 0.44/0.91 (define @t128 () (@var "X" tptp.secrecy_specID)) % 0.44/0.91 (define @t129 () (_ tptp.insert1671894227specID @t128)) % 0.44/0.91 (define @t130 () (_ @t129 @t116)) % 0.44/0.91 (define @t131 () (@list @t128 @t116)) % 0.44/0.91 (define @t132 () (@var "X" tptp.secrecy_chanID)) % 0.44/0.91 (define @t133 () (_ tptp.insert751661162chanID @t132)) % 0.44/0.91 (define @t134 () (_ @t133 @t112)) % 0.44/0.91 (define @t135 () (@list @t132 @t112)) % 0.44/0.91 (define @t136 () (@var "C" tptp.secrecy_KS)) % 0.44/0.91 (define @t137 () (_ tptp.member_Secrecy_KS @t136)) % 0.44/0.91 (define @t138 () (@var "C" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t139 () (_ tptp.member2138796287ecrets @t138)) % 0.44/0.91 (define @t140 () (@var "C" tptp.secrecy_Keys)) % 0.44/0.91 (define @t141 () (_ tptp.member_Secrecy_Keys @t140)) % 0.44/0.91 (define @t142 () (@var "C" tptp.secrecy_specID)) % 0.44/0.91 (define @t143 () (_ tptp.member740727610specID @t142)) % 0.44/0.91 (define @t144 () (@var "C" tptp.secrecy_chanID)) % 0.44/0.91 (define @t145 () (_ tptp.member1967978193chanID @t144)) % 0.44/0.91 (define @t146 () (= @t108 tptp.bot_bo1943466239ecy_KS)) % 0.44/0.91 (define @t147 () (@var "X2" tptp.secrecy_KS)) % 0.44/0.91 (define @t148 () (_ tptp.member_Secrecy_KS @t147)) % 0.44/0.91 (define @t149 () (_ @t148 @t108)) % 0.44/0.91 (define @t150 () (@list @t147)) % 0.44/0.91 (define @t151 () (@list @t108)) % 0.44/0.91 (define @t152 () (= @t120 tptp.bot_bo1124690338ecrets)) % 0.44/0.91 (define @t153 () (@var "X2" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t154 () (_ tptp.member2138796287ecrets @t153)) % 0.44/0.91 (define @t155 () (_ @t154 @t120)) % 0.44/0.91 (define @t156 () (@list @t153)) % 0.44/0.91 (define @t157 () (@list @t120)) % 0.44/0.91 (define @t158 () (= @t124 tptp.bot_bo701486667y_Keys)) % 0.44/0.91 (define @t159 () (@var "X2" tptp.secrecy_Keys)) % 0.44/0.91 (define @t160 () (_ tptp.member_Secrecy_Keys @t159)) % 0.44/0.91 (define @t161 () (_ @t160 @t124)) % 0.44/0.91 (define @t162 () (@list @t159)) % 0.44/0.91 (define @t163 () (@list @t124)) % 0.44/0.91 (define @t164 () (= @t116 tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t165 () (@var "X2" tptp.secrecy_specID)) % 0.44/0.91 (define @t166 () (_ tptp.member740727610specID @t165)) % 0.44/0.91 (define @t167 () (_ @t166 @t116)) % 0.44/0.91 (define @t168 () (@list @t165)) % 0.44/0.91 (define @t169 () (@list @t116)) % 0.44/0.91 (define @t170 () (= @t112 tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t171 () (@var "X2" tptp.secrecy_chanID)) % 0.44/0.91 (define @t172 () (_ tptp.member1967978193chanID @t171)) % 0.44/0.91 (define @t173 () (_ @t172 @t112)) % 0.44/0.91 (define @t174 () (@list @t171)) % 0.44/0.91 (define @t175 () (@list @t112)) % 0.44/0.91 (define @t176 () (@var "P" (-> tptp.secrecy_specID Bool))) % 0.44/0.91 (define @t177 () (forall @t168 (not (_ @t176 @t165)))) % 0.44/0.91 (define @t178 () (_ tptp.collec1545797240specID @t176)) % 0.44/0.91 (define @t179 () (= @t178 tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t180 () (@list @t176)) % 0.44/0.91 (define @t181 () (@var "P" (-> tptp.secrecy_chanID Bool))) % 0.44/0.91 (define @t182 () (_ @t181 @t171)) % 0.44/0.91 (define @t183 () (forall @t174 (not @t182))) % 0.44/0.91 (define @t184 () (_ tptp.collec625564175chanID @t181)) % 0.44/0.91 (define @t185 () (= @t184 tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t186 () (@list @t181)) % 0.44/0.91 (define @t187 () (= @t69 @t38)) % 0.44/0.91 (define @t188 () (_ tptp.member_Secrecy_KS @t69)) % 0.44/0.91 (define @t189 () (_ @t188 @t40)) % 0.44/0.91 (define @t190 () (@list @t69 @t38)) % 0.44/0.91 (define @t191 () (= @t93 @t43)) % 0.44/0.91 (define @t192 () (_ tptp.member2138796287ecrets @t93)) % 0.44/0.91 (define @t193 () (_ @t192 @t45)) % 0.44/0.91 (define @t194 () (@list @t93 @t43)) % 0.44/0.91 (define @t195 () (= @t101 @t48)) % 0.44/0.91 (define @t196 () (_ tptp.member_Secrecy_Keys @t101)) % 0.44/0.91 (define @t197 () (_ @t196 @t50)) % 0.44/0.91 (define @t198 () (@list @t101 @t48)) % 0.44/0.91 (define @t199 () (= @t85 @t53)) % 0.44/0.91 (define @t200 () (_ tptp.member740727610specID @t85)) % 0.44/0.91 (define @t201 () (_ @t200 @t55)) % 0.44/0.91 (define @t202 () (@list @t85 @t53)) % 0.44/0.91 (define @t203 () (= @t77 @t58)) % 0.44/0.91 (define @t204 () (_ tptp.member1967978193chanID @t77)) % 0.44/0.91 (define @t205 () (_ @t204 @t60)) % 0.44/0.91 (define @t206 () (@list @t77 @t58)) % 0.44/0.91 (define @t207 () (not @t146)) % 0.44/0.91 (define @t208 () (not @t152)) % 0.44/0.91 (define @t209 () (not @t158)) % 0.44/0.91 (define @t210 () (not @t164)) % 0.44/0.91 (define @t211 () (not @t170)) % 0.44/0.91 (define @t212 () (@var "Y" tptp.secrecy_KS)) % 0.44/0.91 (define @t213 () (_ (_ tptp.member_Secrecy_KS @t212) @t108)) % 0.44/0.91 (define @t214 () (@var "Y" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t215 () (_ (_ tptp.member2138796287ecrets @t214) @t120)) % 0.44/0.91 (define @t216 () (@var "Y" tptp.secrecy_Keys)) % 0.44/0.91 (define @t217 () (_ (_ tptp.member_Secrecy_Keys @t216) @t124)) % 0.44/0.91 (define @t218 () (@var "Y" tptp.secrecy_specID)) % 0.44/0.91 (define @t219 () (_ (_ tptp.member740727610specID @t218) @t116)) % 0.44/0.91 (define @t220 () (@var "Y" tptp.secrecy_chanID)) % 0.44/0.91 (define @t221 () (_ (_ tptp.member1967978193chanID @t220) @t112)) % 0.44/0.91 (define @t222 () (not @t109)) % 0.44/0.91 (define @t223 () (not @t121)) % 0.44/0.91 (define @t224 () (not @t125)) % 0.44/0.91 (define @t225 () (not @t117)) % 0.44/0.91 (define @t226 () (not @t113)) % 0.44/0.91 (define @t227 () (@var "B3" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t228 () (@list @t227)) % 0.44/0.91 (define @t229 () (@list @t38 @t108)) % 0.44/0.91 (define @t230 () (@var "B3" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t231 () (@list @t230)) % 0.44/0.91 (define @t232 () (@list @t58 @t112)) % 0.44/0.91 (define @t233 () (@var "B3" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t234 () (@list @t233)) % 0.44/0.91 (define @t235 () (@list @t53 @t116)) % 0.44/0.91 (define @t236 () (@var "B3" tptp.set_Secrecy_Secrets)) % 0.44/0.91 (define @t237 () (@list @t236)) % 0.44/0.91 (define @t238 () (@list @t43 @t120)) % 0.44/0.91 (define @t239 () (@var "B3" tptp.set_Secrecy_Keys)) % 0.44/0.91 (define @t240 () (@list @t239)) % 0.44/0.91 (define @t241 () (@list @t48 @t124)) % 0.44/0.91 (define @t242 () (@var "Y2" tptp.secrecy_specID)) % 0.44/0.91 (define @t243 () (_ tptp.insert1671894227specID @t242)) % 0.44/0.91 (define @t244 () (@var "Y2" tptp.secrecy_chanID)) % 0.44/0.91 (define @t245 () (_ tptp.insert751661162chanID @t244)) % 0.44/0.91 (define @t246 () (@var "C2" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t247 () (not @t73)) % 0.44/0.91 (define @t248 () (= @t108 @t68)) % 0.44/0.91 (define @t249 () (_ @t39 @t108)) % 0.44/0.91 (define @t250 () (@var "C2" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t251 () (not @t81)) % 0.44/0.91 (define @t252 () (= @t112 @t76)) % 0.44/0.91 (define @t253 () (_ @t59 @t112)) % 0.44/0.91 (define @t254 () (@var "C2" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t255 () (not @t89)) % 0.44/0.91 (define @t256 () (= @t116 @t84)) % 0.44/0.91 (define @t257 () (_ @t54 @t116)) % 0.44/0.91 (define @t258 () (@var "C2" tptp.set_Secrecy_Secrets)) % 0.44/0.91 (define @t259 () (not @t97)) % 0.44/0.91 (define @t260 () (= @t120 @t92)) % 0.44/0.91 (define @t261 () (_ @t44 @t120)) % 0.44/0.91 (define @t262 () (@var "C2" tptp.set_Secrecy_Keys)) % 0.44/0.91 (define @t263 () (not @t105)) % 0.44/0.91 (define @t264 () (= @t124 @t100)) % 0.44/0.91 (define @t265 () (_ @t49 @t124)) % 0.44/0.91 (define @t266 () (@var "X" tptp.secrecy_KS)) % 0.44/0.91 (define @t267 () (_ tptp.insert_Secrecy_KS @t266)) % 0.44/0.91 (define @t268 () (_ tptp.member_Secrecy_KS @t266)) % 0.44/0.91 (define @t269 () (_ @t268 @t108)) % 0.44/0.91 (define @t270 () (@list @t266 @t108 @t68)) % 0.44/0.91 (define @t271 () (_ tptp.member1967978193chanID @t132)) % 0.44/0.91 (define @t272 () (_ @t271 @t112)) % 0.44/0.91 (define @t273 () (@list @t132 @t112 @t76)) % 0.44/0.91 (define @t274 () (_ tptp.member740727610specID @t128)) % 0.44/0.91 (define @t275 () (_ @t274 @t116)) % 0.44/0.91 (define @t276 () (@list @t128 @t116 @t84)) % 0.44/0.91 (define @t277 () (@var "X" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t278 () (_ tptp.insert565337510ecrets @t277)) % 0.44/0.91 (define @t279 () (_ tptp.member2138796287ecrets @t277)) % 0.44/0.91 (define @t280 () (_ @t279 @t120)) % 0.44/0.91 (define @t281 () (@var "X" tptp.secrecy_Keys)) % 0.44/0.91 (define @t282 () (_ tptp.insert_Secrecy_Keys @t281)) % 0.44/0.91 (define @t283 () (_ tptp.member_Secrecy_Keys @t281)) % 0.44/0.91 (define @t284 () (_ @t283 @t124)) % 0.44/0.91 (define @t285 () (_ @t39 @t68)) % 0.44/0.91 (define @t286 () (_ @t59 @t76)) % 0.44/0.91 (define @t287 () (_ @t54 @t84)) % 0.44/0.91 (define @t288 () (_ @t86 tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t289 () (_ @t78 tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t290 () (@var "D" tptp.secrecy_specID)) % 0.44/0.91 (define @t291 () (@var "D" tptp.secrecy_chanID)) % 0.44/0.91 (define @t292 () (_ @t129 tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t293 () (@list @t128)) % 0.44/0.91 (define @t294 () (_ @t133 tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t295 () (@list @t132)) % 0.44/0.91 (define @t296 () (_ tptp.secrecy_kE tptp.key)) % 0.44/0.91 (define @t297 () (_ (_ tptp.ine tptp.p) @t296)) % 0.44/0.91 (define @t298 () (@var "E" tptp.secrecy_Expression)) % 0.44/0.91 (define @t299 () (@var "M" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t300 () (_ (_ (_ tptp.ineM @t22) @t299) @t298)) % 0.44/0.91 (define @t301 () (not @t300)) % 0.44/0.91 (define @t302 () (_ tptp.correctCompositionIn @t22)) % 0.44/0.91 (define @t303 () (_ (_ (_ tptp.ineM @t13) @t299) @t298)) % 0.44/0.91 (define @t304 () (not @t303)) % 0.44/0.91 (define @t305 () (_ tptp.ineM @t18)) % 0.44/0.91 (define @t306 () (_ (_ @t305 @t299) @t298)) % 0.44/0.91 (define @t307 () (not @t306)) % 0.44/0.91 (define @t308 () (@list @t18 @t299 @t298 @t13 @t22)) % 0.44/0.91 (define @t309 () (@var "P" (-> tptp.secrecy_KS Bool))) % 0.44/0.91 (define @t310 () (@var "P" (-> tptp.secrecy_Secrets Bool))) % 0.44/0.91 (define @t311 () (@var "P" (-> tptp.secrecy_Keys Bool))) % 0.44/0.91 (define @t312 () (or @t306 @t303)) % 0.44/0.91 (define @t313 () (@list @t22 @t299 @t298 @t18 @t13)) % 0.44/0.91 (define @t314 () (_ tptp.ins @t13)) % 0.44/0.91 (define @t315 () (_ @t271 @t314)) % 0.44/0.91 (define @t316 () (_ tptp.ins @t18)) % 0.44/0.91 (define @t317 () (_ @t271 @t316)) % 0.44/0.91 (define @t318 () (_ tptp.ins @t22)) % 0.44/0.91 (define @t319 () (@list @t22 @t18 @t13 @t132)) % 0.44/0.91 (define @t320 () (@var "Ch" tptp.secrecy_chanID)) % 0.44/0.91 (define @t321 () (_ tptp.member1967978193chanID @t320)) % 0.44/0.91 (define @t322 () (_ @t321 @t314)) % 0.44/0.91 (define @t323 () (_ @t321 @t316)) % 0.44/0.91 (define @t324 () (_ @t321 @t318)) % 0.44/0.91 (define @t325 () (@list @t22 @t18 @t13 @t320)) % 0.44/0.91 (define @t326 () (_ tptp.secrecy_kE @t64)) % 0.44/0.91 (define @t327 () (_ tptp.ine @t18)) % 0.44/0.91 (define @t328 () (_ @t327 @t298)) % 0.44/0.91 (define @t329 () (not @t328)) % 0.44/0.91 (define @t330 () (@list @t18 @t298 @t299)) % 0.44/0.91 (define @t331 () (@list @t18 @t299 @t298)) % 0.44/0.91 (define @t332 () (@var "M2" tptp.secrecy_Keys)) % 0.44/0.91 (define @t333 () (_ tptp.secrecy_kE @t332)) % 0.44/0.91 (define @t334 () (@var "A2" tptp.secrecy_specID)) % 0.44/0.91 (define @t335 () (_ tptp.ine @t334)) % 0.44/0.91 (define @t336 () (_ @t335 @t333)) % 0.44/0.91 (define @t337 () (_ tptp.secrecy_kKS @t332)) % 0.44/0.91 (define @t338 () (_ tptp.knowle945212990e_know @t334)) % 0.44/0.91 (define @t339 () (_ @t338 @t337)) % 0.44/0.91 (define @t340 () (not @t339)) % 0.44/0.91 (define @t341 () (@list @t334 @t332)) % 0.44/0.91 (define @t342 () (@var "A3" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t343 () (@list @t342)) % 0.44/0.91 (define @t344 () (@var "A3" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t345 () (@list @t344)) % 0.44/0.91 (define @t346 () (@var "X3" tptp.secrecy_KS)) % 0.44/0.91 (define @t347 () (@var "X3" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t348 () (@var "X3" tptp.secrecy_Keys)) % 0.44/0.91 (define @t349 () (_ tptp.is_sin1501507247specID @t116)) % 0.44/0.91 (define @t350 () (@var "X3" tptp.secrecy_specID)) % 0.44/0.91 (define @t351 () (_ tptp.member740727610specID @t350)) % 0.44/0.91 (define @t352 () (_ tptp.is_sin581274182chanID @t112)) % 0.44/0.91 (define @t353 () (@var "X3" tptp.secrecy_chanID)) % 0.44/0.91 (define @t354 () (_ tptp.member1967978193chanID @t353)) % 0.44/0.91 (define @t355 () (_ tptp.ine @t13)) % 0.44/0.91 (define @t356 () (_ @t355 @t298)) % 0.44/0.91 (define @t357 () (or @t328 @t356)) % 0.44/0.91 (define @t358 () (_ (_ tptp.ine @t22) @t298)) % 0.44/0.91 (define @t359 () (@list @t22 @t298 @t18 @t13)) % 0.44/0.91 (define @t360 () (not @t358)) % 0.44/0.91 (define @t361 () (not @t356)) % 0.44/0.91 (define @t362 () (@list @t18 @t298 @t13 @t22)) % 0.44/0.91 (define @t363 () (@list @t350)) % 0.44/0.91 (define @t364 () (@list @t353)) % 0.44/0.91 (define @t365 () (_ tptp.exprChannel @t320)) % 0.44/0.91 (define @t366 () (_ @t365 @t298)) % 0.44/0.91 (define @t367 () (_ @t321 @t299)) % 0.44/0.91 (define @t368 () (_ tptp.loc @t22)) % 0.44/0.91 (define @t369 () (_ @t321 @t368)) % 0.44/0.91 (define @t370 () (= @t368 tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t371 () (_ tptp.localSecrets @t334)) % 0.44/0.91 (define @t372 () (_ tptp.member_Secrecy_KS @t337)) % 0.44/0.91 (define @t373 () (@var "Key" tptp.secrecy_Keys)) % 0.44/0.91 (define @t374 () (_ tptp.secrecy_kE @t373)) % 0.44/0.91 (define @t375 () (_ @t365 @t374)) % 0.44/0.91 (define @t376 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t373))) % 0.44/0.91 (define @t377 () (not (_ @t376 @t23))) % 0.44/0.91 (define @t378 () (=> @t375 (=> @t377 (=> @t302 (and @t324 @t375))))) % 0.44/0.91 (define @t379 () (_ tptp.localSecrets @t22)) % 0.44/0.91 (define @t380 () (not (_ @t376 @t379))) % 0.44/0.91 (define @t381 () (@list @t22 @t18 @t13 @t373 @t320)) % 0.44/0.91 (define @t382 () (not (_ @t321 (_ tptp.loc @t18)))) % 0.44/0.91 (define @t383 () (_ tptp.localSecrets @t18)) % 0.44/0.91 (define @t384 () (@var "Ls" tptp.secrecy_KS)) % 0.44/0.91 (define @t385 () (_ tptp.member_Secrecy_KS @t384)) % 0.44/0.91 (define @t386 () (not @t317)) % 0.44/0.91 (define @t387 () (and @t386 (not @t315))) % 0.44/0.91 (define @t388 () (@var "Keys" tptp.secrecy_Keys)) % 0.44/0.91 (define @t389 () (_ tptp.secrecy_kE @t388)) % 0.44/0.91 (define @t390 () (not (_ @t355 @t389))) % 0.44/0.91 (define @t391 () (not (_ @t327 @t389))) % 0.44/0.91 (define @t392 () (_ tptp.exprChannel @t132)) % 0.44/0.91 (define @t393 () (@var "M2" tptp.secrecy_Expression)) % 0.44/0.91 (define @t394 () (@var "Ch3" tptp.secrecy_chanID)) % 0.44/0.91 (define @t395 () (_ tptp.member1967978193chanID @t394)) % 0.44/0.91 (define @t396 () (_ @t395 @t368)) % 0.44/0.91 (define @t397 () (not @t396)) % 0.44/0.91 (define @t398 () (_ (_ tptp.exprChannel @t394) @t298)) % 0.44/0.91 (define @t399 () (_ @t395 @t314)) % 0.44/0.91 (define @t400 () (_ @t395 @t316)) % 0.44/0.91 (define @t401 () (or @t400 @t399)) % 0.44/0.91 (define @t402 () (@list @t394)) % 0.44/0.91 (define @t403 () (@list @t18 @t298 @t22 @t13)) % 0.44/0.91 (define @t404 () (_ @t395 @t299)) % 0.44/0.91 (define @t405 () (@list @t18 @t299 @t298 @t22 @t13)) % 0.44/0.91 (define @t406 () (@var "Ch4" tptp.secrecy_chanID)) % 0.44/0.91 (define @t407 () (_ tptp.exprChannel @t406)) % 0.44/0.91 (define @t408 () (_ (_ tptp.member1967978193chanID @t406) @t318)) % 0.44/0.91 (define @t409 () (@list @t406)) % 0.44/0.91 (define @t410 () (=> @t375 (=> @t377 (=> @t302 (exists @t409 (and @t408 (_ @t407 @t374))))))) % 0.44/0.91 (define @t411 () (_ tptp.ine_ex1303305700Single @t18)) % 0.44/0.91 (define @t412 () (_ (_ @t411 @t394) @t298)) % 0.44/0.91 (define @t413 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t388))) % 0.44/0.91 (define @t414 () (_ tptp.localSecrets @t13)) % 0.44/0.91 (define @t415 () (_ tptp.correc965049635ionLoc @t22)) % 0.44/0.91 (define @t416 () (@var "K" tptp.secrecy_Keys)) % 0.44/0.91 (define @t417 () (_ tptp.secrecy_kE @t416)) % 0.44/0.91 (define @t418 () (_ @t355 @t417)) % 0.44/0.91 (define @t419 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t416))) % 0.44/0.91 (define @t420 () (not (_ @t419 @t414))) % 0.44/0.91 (define @t421 () (not (_ @t419 @t383))) % 0.44/0.91 (define @t422 () (_ @t327 @t417)) % 0.44/0.91 (define @t423 () (_ @t419 @t379)) % 0.44/0.91 (define @t424 () (@list @t416 @t22 @t18 @t13)) % 0.44/0.91 (define @t425 () (_ @t354 @t368)) % 0.44/0.91 (define @t426 () (@var "ChSetQ" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t427 () (forall @t364 (=> (_ @t354 @t426) @t425))) % 0.44/0.91 (define @t428 () (@var "ChSetP" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t429 () (forall @t364 (=> (_ @t354 @t428) @t425))) % 0.44/0.91 (define @t430 () (_ (_ (_ tptp.ine_exprChannelSet @t13) @t426) @t298)) % 0.44/0.91 (define @t431 () (_ tptp.ine_exprChannelSet @t18)) % 0.44/0.91 (define @t432 () (_ (_ @t431 @t428) @t298)) % 0.44/0.91 (define @t433 () (@list @t22 @t18 @t13 @t428 @t298 @t426 @t299)) % 0.44/0.91 (define @t434 () (@var "ChSet" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t435 () (forall @t364 (=> (_ @t354 @t434) @t425))) % 0.44/0.91 (define @t436 () (_ (_ @t431 @t434) @t298)) % 0.44/0.91 (define @t437 () (@list @t13 @t299 @t298 @t22 @t18 @t434)) % 0.44/0.91 (define @t438 () (_ (_ tptp.insert751661162chanID @t320) tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t439 () (_ (_ @t431 @t438) @t298)) % 0.44/0.91 (define @t440 () (_ (_ @t411 @t320) @t298)) % 0.44/0.91 (define @t441 () (@list @t18 @t320 @t298)) % 0.44/0.91 (define @t442 () (= @t434 tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t443 () (@list @t18 @t434 @t298)) % 0.44/0.91 (define @t444 () (@list @t13 @t298 @t22 @t18 @t434)) % 0.44/0.91 (define @t445 () (@list @t22 @t18 @t13 @t428 @t298 @t426)) % 0.44/0.91 (define @t446 () (_ (_ tptp.sup_su1301156759ecy_KS @t383) @t414)) % 0.44/0.91 (define @t447 () (@var "Secret" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t448 () (_ tptp.secrecy_sE @t447)) % 0.44/0.91 (define @t449 () (_ @t365 @t448)) % 0.44/0.91 (define @t450 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t447))) % 0.44/0.91 (define @t451 () (not (_ @t450 @t23))) % 0.44/0.91 (define @t452 () (=> @t449 (=> @t451 (=> @t302 (and @t324 @t449))))) % 0.44/0.91 (define @t453 () (not (_ @t450 @t379))) % 0.44/0.91 (define @t454 () (@list @t22 @t18 @t13 @t447 @t320)) % 0.44/0.91 (define @t455 () (=> @t449 (=> @t451 (=> @t302 (exists @t409 (and @t408 (_ @t407 @t448))))))) % 0.44/0.91 (define @t456 () (_ tptp.sup_su1712599557specID @t116)) % 0.44/0.91 (define @t457 () (_ @t456 @t84)) % 0.44/0.91 (define @t458 () (_ @t143 @t457)) % 0.44/0.91 (define @t459 () (_ @t143 @t116)) % 0.44/0.91 (define @t460 () (_ @t143 @t84)) % 0.44/0.91 (define @t461 () (@list @t142 @t84 @t116)) % 0.44/0.91 (define @t462 () (_ @t139 (_ (_ tptp.sup_su1029080330ecrets @t120) @t92))) % 0.44/0.91 (define @t463 () (_ @t139 @t120)) % 0.44/0.91 (define @t464 () (_ @t139 @t92)) % 0.44/0.91 (define @t465 () (@list @t138 @t92 @t120)) % 0.44/0.91 (define @t466 () (_ @t141 (_ (_ tptp.sup_su552545507y_Keys @t124) @t100))) % 0.44/0.91 (define @t467 () (_ @t141 @t124)) % 0.44/0.91 (define @t468 () (_ @t141 @t100)) % 0.44/0.91 (define @t469 () (@list @t140 @t100 @t124)) % 0.44/0.91 (define @t470 () (_ tptp.sup_su1301156759ecy_KS @t108)) % 0.44/0.91 (define @t471 () (_ @t470 @t68)) % 0.44/0.91 (define @t472 () (_ @t137 @t471)) % 0.44/0.91 (define @t473 () (_ @t137 @t108)) % 0.44/0.91 (define @t474 () (_ @t137 @t68)) % 0.44/0.91 (define @t475 () (@list @t136 @t68 @t108)) % 0.44/0.91 (define @t476 () (_ tptp.sup_su370684444chanID @t112)) % 0.44/0.91 (define @t477 () (_ @t476 @t76)) % 0.44/0.91 (define @t478 () (_ @t145 @t477)) % 0.44/0.91 (define @t479 () (_ @t145 @t112)) % 0.44/0.91 (define @t480 () (_ @t145 @t76)) % 0.44/0.91 (define @t481 () (@list @t144 @t76 @t112)) % 0.44/0.91 (define @t482 () (@list @t142 @t116 @t84)) % 0.44/0.91 (define @t483 () (@list @t138 @t120 @t92)) % 0.44/0.91 (define @t484 () (@list @t140 @t124 @t100)) % 0.44/0.91 (define @t485 () (@list @t136 @t108 @t68)) % 0.44/0.91 (define @t486 () (@list @t144 @t112 @t76)) % 0.44/0.91 (define @t487 () (@var "Y22" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t488 () (@var "X22" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t489 () (= @t488 @t487)) % 0.44/0.91 (define @t490 () (_ tptp.secrecy_sKS @t488)) % 0.44/0.91 (define @t491 () (@list @t488 @t487)) % 0.44/0.91 (define @t492 () (_ tptp.secrecy_sE @t488)) % 0.44/0.91 (define @t493 () (= @t68 tptp.bot_bo1943466239ecy_KS)) % 0.44/0.91 (define @t494 () (@list @t108 @t68)) % 0.44/0.91 (define @t495 () (= @t84 tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t496 () (= @t76 tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t497 () (@list @t112 @t76)) % 0.44/0.91 (define @t498 () (@var "C3" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t499 () (@var "C3" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t500 () (_ tptp.sup_su1301156759ecy_KS @t68)) % 0.44/0.91 (define @t501 () (_ @t500 @t499)) % 0.44/0.91 (define @t502 () (@var "C3" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t503 () (_ tptp.sup_su370684444chanID @t76)) % 0.44/0.91 (define @t504 () (_ @t503 @t502)) % 0.44/0.91 (define @t505 () (_ @t309 @t147)) % 0.44/0.91 (define @t506 () (_ @t148 @t68)) % 0.44/0.91 (define @t507 () (_ @t148 @t471)) % 0.44/0.91 (define @t508 () (@list @t108 @t68 @t309)) % 0.44/0.91 (define @t509 () (_ @t172 @t76)) % 0.44/0.91 (define @t510 () (_ @t172 @t477)) % 0.44/0.91 (define @t511 () (@list @t112 @t76 @t181)) % 0.44/0.91 (define @t512 () (_ @t470 @t501)) % 0.44/0.91 (define @t513 () (@list @t108 @t68 @t499)) % 0.44/0.91 (define @t514 () (_ @t476 @t504)) % 0.44/0.91 (define @t515 () (@list @t112 @t76 @t502)) % 0.44/0.91 (define @t516 () (@var "A3" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t517 () (@var "B4" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t518 () (@var "B4" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t519 () (@var "M2" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t520 () (_ tptp.secrecy_sE @t519)) % 0.44/0.91 (define @t521 () (_ tptp.secrecy_sKS @t519)) % 0.44/0.91 (define @t522 () (_ tptp.sup_su1301156759ecy_KS tptp.bot_bo1943466239ecy_KS)) % 0.44/0.91 (define @t523 () (_ tptp.sup_su1712599557specID tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t524 () (_ tptp.sup_su370684444chanID tptp.bot_bo443197316chanID)) % 0.44/0.91 (define @t525 () (_ @t335 @t520)) % 0.44/0.91 (define @t526 () (_ @t338 @t521)) % 0.44/0.91 (define @t527 () (not @t526)) % 0.44/0.91 (define @t528 () (@list @t334 @t519)) % 0.44/0.91 (define @t529 () (@var "X23" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t530 () (@var "Y2" tptp.secrecy_KS)) % 0.44/0.91 (define @t531 () (@var "X12" tptp.secrecy_Keys)) % 0.44/0.91 (define @t532 () (@var "KS" tptp.secrecy_KS)) % 0.44/0.91 (define @t533 () (@list @t64 @t488)) % 0.44/0.91 (define @t534 () (_ tptp.member_Secrecy_KS @t521)) % 0.44/0.91 (define @t535 () (_ @t267 tptp.bot_bo1943466239ecy_KS)) % 0.44/0.91 (define @t536 () (= @t68 @t535)) % 0.44/0.91 (define @t537 () (= @t108 @t535)) % 0.44/0.91 (define @t538 () (or (and @t146 @t536) (and @t537 @t493) (and @t537 @t536))) % 0.44/0.91 (define @t539 () (= @t84 @t292)) % 0.44/0.91 (define @t540 () (= @t116 @t292)) % 0.44/0.91 (define @t541 () (or (and @t164 @t539) (and @t540 @t495) (and @t540 @t539))) % 0.44/0.91 (define @t542 () (= @t76 @t294)) % 0.44/0.91 (define @t543 () (= @t112 @t294)) % 0.44/0.91 (define @t544 () (or (and @t170 @t542) (and @t543 @t496) (and @t543 @t542))) % 0.44/0.91 (define @t545 () (@var "__flatten_var_0" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t546 () (@var "A4" tptp.secrecy_KS)) % 0.44/0.91 (define @t547 () (@var "__flatten_var_0" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t548 () (@var "A4" tptp.secrecy_specID)) % 0.44/0.91 (define @t549 () (@var "__flatten_var_0" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t550 () (@var "A4" tptp.secrecy_chanID)) % 0.44/0.91 (define @t551 () (@var "S" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t552 () (_ tptp.secrecy_sE @t551)) % 0.44/0.91 (define @t553 () (_ @t327 @t552)) % 0.44/0.91 (define @t554 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t551))) % 0.44/0.91 (define @t555 () (not (_ @t554 @t414))) % 0.44/0.91 (define @t556 () (not (_ @t554 @t383))) % 0.44/0.91 (define @t557 () (_ @t355 @t552)) % 0.44/0.91 (define @t558 () (not @t557)) % 0.44/0.91 (define @t559 () (_ @t554 @t379)) % 0.44/0.91 (define @t560 () (@list @t551 @t22 @t18 @t13)) % 0.44/0.91 (define @t561 () (not @t553)) % 0.44/0.91 (define @t562 () (@var "Secrets" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t563 () (_ tptp.secrecy_sE @t562)) % 0.44/0.91 (define @t564 () (not (_ @t16 @t379))) % 0.44/0.91 (define @t565 () (@var "M4" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t566 () (_ tptp.secrecy_sE @t565)) % 0.44/0.91 (define @t567 () (forall (@list @t565) (=> (= @t15 (_ tptp.secrecy_sKS @t565)) (and (not (_ @t327 @t566)) (not (_ @t355 @t566)))))) % 0.44/0.91 (define @t568 () (@var "M4" tptp.secrecy_Keys)) % 0.44/0.91 (define @t569 () (_ tptp.secrecy_kE @t568)) % 0.44/0.91 (define @t570 () (forall (@list @t568) (=> (= @t15 (_ tptp.secrecy_kKS @t568)) (and (not (_ @t327 @t569)) (not (_ @t355 @t569)))))) % 0.44/0.91 (define @t571 () (@var "A" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t572 () (_ tptp.sup_su1301156759ecy_KS @t571)) % 0.44/0.91 (define @t573 () (@list @t571)) % 0.44/0.91 (define @t574 () (@var "A" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t575 () (_ tptp.sup_su1712599557specID @t574)) % 0.44/0.91 (define @t576 () (@list @t574)) % 0.44/0.91 (define @t577 () (@var "A" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t578 () (_ tptp.sup_su370684444chanID @t577)) % 0.44/0.91 (define @t579 () (@list @t577)) % 0.44/0.91 (define @t580 () (@var "B2" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t581 () (and (= @t571 tptp.bot_bo1943466239ecy_KS) (= @t580 tptp.bot_bo1943466239ecy_KS))) % 0.44/0.91 (define @t582 () (_ @t572 @t580)) % 0.44/0.91 (define @t583 () (@list @t571 @t580)) % 0.44/0.91 (define @t584 () (@var "B2" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t585 () (and (= @t574 tptp.bot_bo1785112429specID) (= @t584 tptp.bot_bo1785112429specID))) % 0.44/0.91 (define @t586 () (_ @t575 @t584)) % 0.44/0.91 (define @t587 () (@list @t574 @t584)) % 0.44/0.91 (define @t588 () (@var "B2" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t589 () (and (= @t577 tptp.bot_bo443197316chanID) (= @t588 tptp.bot_bo443197316chanID))) % 0.44/0.91 (define @t590 () (_ @t578 @t588)) % 0.44/0.91 (define @t591 () (@list @t577 @t588)) % 0.44/0.91 (define @t592 () (@var "Y2" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t593 () (@var "X" tptp.set_Secrecy_KS)) % 0.44/0.91 (define @t594 () (_ tptp.sup_su1301156759ecy_KS @t593)) % 0.44/0.91 (define @t595 () (@var "Y2" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t596 () (@var "X" tptp.set_Secrecy_specID)) % 0.44/0.91 (define @t597 () (and (= @t596 tptp.bot_bo1785112429specID) (= @t595 tptp.bot_bo1785112429specID))) % 0.44/0.91 (define @t598 () (_ tptp.sup_su1712599557specID @t596)) % 0.44/0.91 (define @t599 () (_ @t598 @t595)) % 0.44/0.91 (define @t600 () (@list @t596 @t595)) % 0.44/0.91 (define @t601 () (@var "Y2" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t602 () (@var "X" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t603 () (and (= @t602 tptp.bot_bo443197316chanID) (= @t601 tptp.bot_bo443197316chanID))) % 0.44/0.91 (define @t604 () (_ tptp.sup_su370684444chanID @t602)) % 0.44/0.91 (define @t605 () (_ @t604 @t601)) % 0.44/0.91 (define @t606 () (@list @t602 @t601)) % 0.44/0.91 (define @t607 () (@list @t593)) % 0.44/0.91 (define @t608 () (@list @t596)) % 0.44/0.91 (define @t609 () (@list @t602)) % 0.44/0.91 (define @t610 () (_ (_ tptp.eout @t22) @t298)) % 0.44/0.91 (define @t611 () (_ tptp.correc990227761ionOut @t22)) % 0.44/0.91 (define @t612 () (_ (_ tptp.eout @t13) @t298)) % 0.44/0.91 (define @t613 () (_ tptp.eout @t18)) % 0.44/0.91 (define @t614 () (_ @t613 @t298)) % 0.44/0.91 (define @t615 () (or @t614 @t612)) % 0.44/0.91 (define @t616 () (@var "C3" tptp.secrecy_specID)) % 0.44/0.91 (define @t617 () (_ tptp.specSecrets @t616)) % 0.44/0.91 (define @t618 () (@var "Xa" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t619 () (_ tptp.member2138796287ecrets @t618)) % 0.44/0.91 (define @t620 () (_ @t619 @t617)) % 0.44/0.91 (define @t621 () (_ tptp.subcomponents @t616)) % 0.44/0.91 (define @t622 () (_ @t274 @t621)) % 0.44/0.91 (define @t623 () (_ tptp.correctCompositionKS @t616)) % 0.44/0.91 (define @t624 () (@list @t616 @t128 @t618)) % 0.44/0.91 (define @t625 () (_ tptp.specKeys @t616)) % 0.44/0.91 (define @t626 () (@var "Xa" tptp.secrecy_Keys)) % 0.44/0.91 (define @t627 () (_ tptp.member_Secrecy_Keys @t626)) % 0.44/0.91 (define @t628 () (_ @t627 @t625)) % 0.44/0.91 (define @t629 () (@list @t616 @t128 @t626)) % 0.44/0.91 (define @t630 () (_ tptp.specKeys @t350)) % 0.44/0.91 (define @t631 () (_ @t351 @t621)) % 0.44/0.91 (define @t632 () (not @t610)) % 0.44/0.91 (define @t633 () (_ tptp.out_ex985543062Single @t18)) % 0.44/0.91 (define @t634 () (_ (_ @t633 @t394) @t298)) % 0.44/0.91 (define @t635 () (not @t612)) % 0.44/0.91 (define @t636 () (_ tptp.out_exprChannelSet @t18)) % 0.44/0.91 (define @t637 () (_ (_ @t636 @t434) @t298)) % 0.44/0.91 (define @t638 () (_ (_ (_ tptp.out_exprChannelSet @t13) @t426) @t298)) % 0.44/0.91 (define @t639 () (_ (_ @t636 @t428) @t298)) % 0.44/0.91 (define @t640 () (_ (_ @t633 @t320) @t298)) % 0.44/0.91 (define @t641 () (_ (_ @t636 @t438) @t298)) % 0.44/0.91 (define @t642 () (_ (_ (_ tptp.eoutM @t22) @t299) @t298)) % 0.44/0.91 (define @t643 () (not @t642)) % 0.44/0.91 (define @t644 () (_ tptp.knowle945212990e_know @t616)) % 0.44/0.91 (define @t645 () (_ tptp.member2138796287ecrets @t519)) % 0.44/0.91 (define @t646 () (or (_ @t645 @t617) (_ @t644 @t521))) % 0.44/0.91 (define @t647 () (_ tptp.eout @t616)) % 0.44/0.91 (define @t648 () (_ @t647 @t520)) % 0.44/0.91 (define @t649 () (_ tptp.knowle233900195orrect @t616)) % 0.44/0.91 (define @t650 () (_ @t649 @t521)) % 0.44/0.91 (define @t651 () (@list @t616 @t519)) % 0.44/0.91 (define @t652 () (_ tptp.eout @t334)) % 0.44/0.91 (define @t653 () (_ @t652 @t520)) % 0.44/0.91 (define @t654 () (_ tptp.knowle233900195orrect @t334)) % 0.44/0.91 (define @t655 () (_ @t654 @t521)) % 0.44/0.91 (define @t656 () (not (_ @t645 (_ tptp.specSecrets @t334)))) % 0.44/0.91 (define @t657 () (@list @t519 @t334)) % 0.44/0.91 (define @t658 () (_ (_ (_ tptp.eoutM @t18) @t299) @t298)) % 0.44/0.91 (define @t659 () (_ (_ (_ tptp.eoutM @t13) @t299) @t298)) % 0.44/0.91 (define @t660 () (or @t658 @t659)) % 0.44/0.91 (define @t661 () (not @t659)) % 0.44/0.91 (define @t662 () (_ tptp.member_Secrecy_Keys @t332)) % 0.44/0.91 (define @t663 () (or (_ @t662 @t625) (_ @t644 @t337))) % 0.44/0.91 (define @t664 () (_ @t647 @t333)) % 0.44/0.91 (define @t665 () (_ @t649 @t337)) % 0.44/0.91 (define @t666 () (@list @t616 @t332)) % 0.44/0.91 (define @t667 () (_ @t652 @t333)) % 0.44/0.91 (define @t668 () (_ @t654 @t337)) % 0.44/0.91 (define @t669 () (not (_ @t662 (_ tptp.specKeys @t334)))) % 0.44/0.91 (define @t670 () (@list @t332 @t334)) % 0.44/0.91 (define @t671 () (_ tptp.out @t13)) % 0.44/0.91 (define @t672 () (_ @t395 @t671)) % 0.44/0.91 (define @t673 () (_ tptp.out @t18)) % 0.44/0.91 (define @t674 () (_ @t395 @t673)) % 0.44/0.91 (define @t675 () (or @t674 @t672)) % 0.44/0.91 (define @t676 () (_ (_ tptp.ord_le1802272080chanID @t673) (_ tptp.ins @t334))) % 0.44/0.91 (define @t677 () (@var "Xb" tptp.secrecy_Keys)) % 0.44/0.91 (define @t678 () (_ tptp.member_Secrecy_Keys @t677)) % 0.44/0.91 (define @t679 () (_ tptp.specKeysSecrets tptp.pq)) % 0.44/0.91 (define @t680 () (_ @t3 @t679)) % 0.44/0.91 (define @t681 () (lambda @t343 (= @t342 tptp.bot_bo1785112429specID))) % 0.44/0.91 (define @t682 () (lambda @t345 (= @t344 tptp.bot_bo443197316chanID))) % 0.44/0.91 (define @t683 () (lambda @t343 (exists @t168 (= @t342 (_ (_ tptp.insert1671894227specID @t165) tptp.bot_bo1785112429specID))))) % 0.44/0.91 (define @t684 () (lambda @t345 (exists @t174 (= @t344 (_ (_ tptp.insert751661162chanID @t171) tptp.bot_bo443197316chanID))))) % 0.44/0.91 (define @t685 () (lambda @t150 (_ @t148 tptp.bot_bo1943466239ecy_KS))) % 0.44/0.91 (define @t686 () (lambda @t156 (_ @t154 tptp.bot_bo1124690338ecrets))) % 0.44/0.91 (define @t687 () (lambda @t162 (_ @t160 tptp.bot_bo701486667y_Keys))) % 0.44/0.91 (define @t688 () (lambda @t168 (_ @t166 tptp.bot_bo1785112429specID))) % 0.44/0.91 (define @t689 () (lambda @t174 (_ @t172 tptp.bot_bo443197316chanID))) % 0.44/0.91 (define @t690 () (@var "E2" tptp.secrecy_Expression)) % 0.44/0.91 (define @t691 () (@var "Ch2" tptp.secrecy_chanID)) % 0.44/0.91 (define @t692 () (_ (_ tptp.exprChannel @t691) @t690)) % 0.44/0.91 (define @t693 () (@var "SP" tptp.secrecy_specID)) % 0.44/0.91 (define @t694 () (_ tptp.ins @t693)) % 0.44/0.91 (define @t695 () (_ tptp.member1967978193chanID @t691)) % 0.44/0.91 (define @t696 () (_ @t695 @t694)) % 0.44/0.91 (define @t697 () (@list @t691)) % 0.44/0.91 (define @t698 () (@list @t693 @t690)) % 0.44/0.91 (define @t699 () (lambda @t698 (exists @t697 (and @t696 @t692)))) % 0.44/0.91 (define @t700 () (@var "M3" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t701 () (_ @t695 @t700)) % 0.44/0.91 (define @t702 () (@list @t693 @t700 @t690)) % 0.44/0.91 (define @t703 () (lambda @t702 (exists @t697 (and @t696 @t701 @t692)))) % 0.44/0.91 (define @t704 () (_ (_ tptp.exprChannel @t171) @t690)) % 0.44/0.91 (define @t705 () (not @t704)) % 0.44/0.91 (define @t706 () (_ @t172 @t694)) % 0.44/0.91 (define @t707 () (@var "ChSet2" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t708 () (_ @t172 @t707)) % 0.44/0.91 (define @t709 () (not @t708)) % 0.44/0.91 (define @t710 () (@list @t693 @t707 @t690)) % 0.44/0.91 (define @t711 () (lambda @t710 (and (forall @t174 (=> @t708 (and @t706 @t704))) (forall @t174 (=> (and @t709 @t706) @t705))))) % 0.44/0.91 (define @t712 () (not (= @t171 @t691))) % 0.44/0.91 (define @t713 () (@list @t171 (@var "T" tptp.nat))) % 0.44/0.91 (define @t714 () (@list @t693 @t691 @t690)) % 0.44/0.91 (define @t715 () (lambda @t714 (and @t696 @t692 (forall @t713 (=> (and @t706 @t712) @t705))))) % 0.44/0.91 (define @t716 () (@var "Z" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t717 () (@var "Y3" tptp.set_Secrecy_chanID)) % 0.44/0.91 (define @t718 () (lambda (@list @t717 @t716) (= @t717 @t716))) % 0.44/0.91 (define @t719 () (@list @t165 @t549)) % 0.44/0.91 (define @t720 () (lambda @t719 (_ (_ @t718 (_ tptp.loc @t165)) @t549))) % 0.44/0.91 (define @t721 () (lambda @t719 (_ (_ @t718 (_ tptp.ins @t165)) @t549))) % 0.44/0.91 (define @t722 () (@var "P2" tptp.secrecy_specID)) % 0.44/0.91 (define @t723 () (_ tptp.specKeysSecrets @t722)) % 0.44/0.91 (define @t724 () (@var "Y4" tptp.secrecy_Secrets)) % 0.44/0.91 (define @t725 () (@var "E3" tptp.list_S529945141ession)) % 0.44/0.91 (define @t726 () (lambda (@list @t722 @t725) (and (forall @t162 (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_kE @t159)) @t725) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t159)) @t723)))) (forall (@list @t724) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_sE @t724)) @t725) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t724)) @t723))))))) % 0.44/0.91 (define @t727 () (_ tptp.out @t693)) % 0.44/0.91 (define @t728 () (_ @t695 @t727)) % 0.44/0.91 (define @t729 () (lambda @t698 (exists @t697 (and @t728 @t692)))) % 0.44/0.91 (define @t730 () (lambda @t702 (exists @t697 (and @t728 @t701 @t692)))) % 0.44/0.91 (define @t731 () (_ @t172 @t727)) % 0.44/0.91 (define @t732 () (lambda @t710 (and (forall @t174 (=> @t708 (and @t731 @t704))) (forall @t174 (=> (and @t709 @t731) @t705))))) % 0.44/0.91 (define @t733 () (lambda @t714 (and @t728 @t692 (forall @t713 (=> (and @t731 @t712) @t705))))) % 0.44/0.91 (define @t734 () (tptp.specKeysSecrets @t13)) % 0.44/0.91 (define @t735 () (tptp.member_Secrecy_KS @t15 @t734)) % 0.44/0.91 (define @t736 () (tptp.specKeysSecrets @t18)) % 0.44/0.91 (define @t737 () (tptp.member_Secrecy_KS @t15 @t736)) % 0.44/0.91 (define @t738 () (tptp.specKeysSecrets @t22)) % 0.44/0.91 (define @t739 () (tptp.member_Secrecy_KS @t15 @t738)) % 0.44/0.91 (define @t740 () (tptp.correctCompositionKS @t22)) % 0.44/0.91 (define @t741 () (not @t26)) % 0.44/0.91 (define @t742 () (tptp.insert1671894227specID @t13 tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t743 () (tptp.insert1671894227specID @t18 @t742)) % 0.44/0.91 (define @t744 () (tptp.subcomponents @t22)) % 0.44/0.91 (define @t745 () (not @t32)) % 0.44/0.91 (define @t746 () (or @t745 @t741 @t35 @t20 @t17)) % 0.44/0.91 (define @t747 () (or @t741 @t35 @t20 @t17)) % 0.44/0.91 (define @t748 () (or @t35 @t20 @t17)) % 0.44/0.91 (define @t749 () (tptp.specKeysSecrets tptp.pq)) % 0.44/0.91 (define @t750 () (tptp.secrecy_kKS tptp.key)) % 0.44/0.91 (define @t751 () (tptp.member_Secrecy_KS @t750 @t749)) % 0.44/0.91 (define @t752 () (_ tptp.member_Secrecy_KS @t750)) % 0.44/0.91 (define @t753 () (_ tptp.member_Secrecy_KS @t12)) % 0.44/0.91 (define @t754 () (tptp.subcomponents tptp.pq)) % 0.44/0.91 (define @t755 () (tptp.insert1671894227specID tptp.q tptp.bot_bo1785112429specID)) % 0.44/0.91 (define @t756 () (tptp.insert1671894227specID tptp.p @t755)) % 0.44/0.91 (define @t757 () (tptp.correctCompositionKS tptp.pq)) % 0.44/0.91 (define @t758 () (tptp.specKeysSecrets tptp.p)) % 0.44/0.91 (define @t759 () (tptp.member_Secrecy_KS @t750 @t758)) % 0.44/0.91 (define @t760 () (_ @t753 @t5)) % 0.44/0.91 (define @t761 () (tptp.specKeysSecrets tptp.q)) % 0.44/0.91 (define @t762 () (tptp.member_Secrecy_KS @t750 @t761)) % 0.44/0.91 (define @t763 () (_ @t753 @t2)) % 0.44/0.91 (define @t764 () (not @t751)) % 0.44/0.91 (define @t765 () (not @t757)) % 0.44/0.91 (define @t766 () (= @t756 @t754)) % 0.44/0.91 (define @t767 () (not @t766)) % 0.44/0.91 (define @t768 () (or @t767 @t765 @t764 @t759 @t762)) % 0.44/0.91 (define @t769 () (not @t768)) % 0.44/0.91 (define @t770 () (not (= @t754 @t756))) % 0.44/0.91 (define @t771 () (or @t770 @t765 @t764 @t759 @t762)) % 0.44/0.91 (define @t772 () (forall @t33 (or (not (= @t744 @t743)) (not @t740) (not @t739) @t737 @t735))) % 0.44/0.91 (assume @p1 @t1) % 0.44/0.91 (assume @p2 @t4) % 0.44/0.91 (assume @p3 @t6) % 0.44/0.91 (assume @p4 @t11) % 0.44/0.91 (assume @p5 (_ tptp.correctCompositionIn tptp.pq)) % 0.44/0.91 (assume @p6 (_ (_ tptp.knowle945212990e_know tptp.p) tptp.m)) % 0.44/0.91 (assume @p7 (= tptp.m @t12)) % 0.44/0.91 (assume @p8 @t34) % 0.44/0.91 (assume @p9 (forall @t33 (=> @t32 (=> @t26 (=> @t37 (=> @t36 @t35)))))) % 0.44/0.91 (assume @p10 (forall @t33 (=> @t32 (=> @t26 (=> @t35 @t37))))) % 0.44/0.91 (assume @p11 (forall @t33 (=> @t32 (=> @t26 (=> @t35 @t36))))) % 0.44/0.91 (assume @p12 (forall @t42 (_ @t41 @t40))) % 0.44/0.91 (assume @p13 (forall @t47 (_ @t46 @t45))) % 0.44/0.91 (assume @p14 (forall @t52 (_ @t51 @t50))) % 0.44/0.91 (assume @p15 (forall @t57 (_ @t56 @t55))) % 0.44/0.91 (assume @p16 (forall @t62 (_ @t61 @t60))) % 0.44/0.91 (assume @p17 (forall @t67 (= (= @t66 (_ tptp.secrecy_kKS @t63)) @t65))) % 0.44/0.91 (assume @p18 (forall @t75 (=> (=> (not @t74) @t73) @t72))) % 0.44/0.91 (assume @p19 (forall @t83 (=> (=> (not @t82) @t81) @t80))) % 0.44/0.91 (assume @p20 (forall @t91 (=> (=> (not @t90) @t89) @t88))) % 0.44/0.91 (assume @p21 (forall @t99 (=> (=> (not @t98) @t97) @t96))) % 0.44/0.91 (assume @p22 (forall @t107 (=> (=> (not @t106) @t105) @t104))) % 0.44/0.91 (assume @p23 (forall @t111 (= @t110 (or @t73 @t109)))) % 0.44/0.91 (assume @p24 (forall @t115 (= @t114 (or @t81 @t113)))) % 0.44/0.91 (assume @p25 (forall @t119 (= @t118 (or @t89 @t117)))) % 0.44/0.91 (assume @p26 (forall @t123 (= @t122 (or @t97 @t121)))) % 0.44/0.91 (assume @p27 (forall @t127 (= @t126 (or @t105 @t125)))) % 0.44/0.91 (assume @p28 (forall @t131 (= (_ @t129 @t130) @t130))) % 0.44/0.91 (assume @p29 (forall @t135 (= (_ @t133 @t134) @t134))) % 0.44/0.91 (assume @p30 (forall (@list @t136) (not (_ @t137 tptp.bot_bo1943466239ecy_KS)))) % 0.44/0.91 (assume @p31 (forall (@list @t138) (not (_ @t139 tptp.bot_bo1124690338ecrets)))) % 0.44/0.91 (assume @p32 (forall (@list @t140) (not (_ @t141 tptp.bot_bo701486667y_Keys)))) % 0.44/0.91 (assume @p33 (forall (@list @t142) (not (_ @t143 tptp.bot_bo1785112429specID)))) % 0.44/0.91 (assume @p34 (forall (@list @t144) (not (_ @t145 tptp.bot_bo443197316chanID)))) % 0.44/0.91 (assume @p35 (forall @t151 (= (forall @t150 (not @t149)) @t146))) % 0.44/0.91 (assume @p36 (forall @t157 (= (forall @t156 (not @t155)) @t152))) % 0.44/0.91 (assume @p37 (forall @t163 (= (forall @t162 (not @t161)) @t158))) % 0.44/0.91 (assume @p38 (forall @t169 (= (forall @t168 (not @t167)) @t164))) % 0.44/0.91 (assume @p39 (forall @t175 (= (forall @t174 (not @t173)) @t170))) % 0.44/0.91 (assume @p40 (forall @t180 (= @t179 @t177))) % 0.44/0.91 (assume @p41 (forall @t186 (= @t185 @t183))) % 0.44/0.91 (assume @p42 (forall @t180 (= (= tptp.bot_bo1785112429specID @t178) @t177))) % 0.44/0.91 (assume @p43 (forall @t186 (= (= tptp.bot_bo443197316chanID @t184) @t183))) % 0.44/0.91 (assume @p44 (forall @t190 (=> @t189 @t187))) % 0.44/0.91 (assume @p45 (forall @t194 (=> @t193 @t191))) % 0.44/0.91 (assume @p46 (forall @t198 (=> @t197 @t195))) % 0.44/0.91 (assume @p47 (forall @t202 (=> @t201 @t199))) % 0.44/0.91 (assume @p48 (forall @t206 (=> @t205 @t203))) % 0.44/0.91 (assume @p49 (= tptp.bot_bo1785112429specID (_ tptp.collec1545797240specID tptp.bot_bo1767780696ecID_o))) % 0.44/0.91 (assume @p50 (= tptp.bot_bo443197316chanID (_ tptp.collec625564175chanID tptp.bot_bo1012329985anID_o))) % 0.44/0.91 (assume @p51 (forall @t151 (= (exists @t150 @t149) @t207))) % 0.44/0.91 (assume @p52 (forall @t157 (= (exists @t156 @t155) @t208))) % 0.44/0.91 (assume @p53 (forall @t163 (= (exists @t162 @t161) @t209))) % 0.44/0.91 (assume @p54 (forall @t169 (= (exists @t168 @t167) @t210))) % 0.44/0.91 (assume @p55 (forall @t175 (= (exists @t174 @t173) @t211))) % 0.44/0.91 (assume @p56 (forall @t151 (=> (forall (@list @t212) (not @t213)) @t146))) % 0.44/0.91 (assume @p57 (forall @t157 (=> (forall (@list @t214) (not @t215)) @t152))) % 0.44/0.91 (assume @p58 (forall @t163 (=> (forall (@list @t216) (not @t217)) @t158))) % 0.44/0.91 (assume @p59 (forall @t169 (=> (forall (@list @t218) (not @t219)) @t164))) % 0.44/0.91 (assume @p60 (forall @t175 (=> (forall (@list @t220) (not @t221)) @t170))) % 0.44/0.91 (assume @p61 (forall (@list @t108 @t38) (=> @t146 @t222))) % 0.44/0.91 (assume @p62 (forall (@list @t120 @t43) (=> @t152 @t223))) % 0.44/0.91 (assume @p63 (forall (@list @t124 @t48) (=> @t158 @t224))) % 0.44/0.91 (assume @p64 (forall (@list @t116 @t53) (=> @t164 @t225))) % 0.44/0.91 (assume @p65 (forall (@list @t112 @t58) (=> @t170 @t226))) % 0.44/0.91 (assume @p66 (forall @t42 (not (_ @t41 tptp.bot_bo1943466239ecy_KS)))) % 0.44/0.91 (assume @p67 (forall @t47 (not (_ @t46 tptp.bot_bo1124690338ecrets)))) % 0.44/0.91 (assume @p68 (forall @t52 (not (_ @t51 tptp.bot_bo701486667y_Keys)))) % 0.44/0.91 (assume @p69 (forall @t57 (not (_ @t56 tptp.bot_bo1785112429specID)))) % 0.44/0.91 (assume @p70 (forall @t62 (not (_ @t61 tptp.bot_bo443197316chanID)))) % 0.44/0.91 (assume @p71 (forall @t229 (=> @t109 (exists @t228 (and (= @t108 (_ @t39 @t227)) (not (_ @t41 @t227))))))) % 0.44/0.91 (assume @p72 (forall @t232 (=> @t113 (exists @t231 (and (= @t112 (_ @t59 @t230)) (not (_ @t61 @t230))))))) % 0.44/0.91 (assume @p73 (forall @t235 (=> @t117 (exists @t234 (and (= @t116 (_ @t54 @t233)) (not (_ @t56 @t233))))))) % 0.44/0.91 (assume @p74 (forall @t238 (=> @t121 (exists @t237 (and (= @t120 (_ @t44 @t236)) (not (_ @t46 @t236))))))) % 0.44/0.91 (assume @p75 (forall @t241 (=> @t125 (exists @t240 (and (= @t124 (_ @t49 @t239)) (not (_ @t51 @t239))))))) % 0.44/0.91 (assume @p76 (forall (@list @t128 @t242 @t116) (= (_ @t129 (_ @t243 @t116)) (_ @t243 @t130)))) % 0.44/0.91 (assume @p77 (forall (@list @t132 @t244 @t112) (= (_ @t133 (_ @t245 @t112)) (_ @t245 @t134)))) % 0.44/0.91 (assume @p78 (forall (@list @t38 @t108 @t69 @t68) (=> @t222 (=> (not (_ @t188 @t68)) (= (= @t249 @t71) (and (=> @t73 @t248) (=> @t247 (exists (@list @t246) (and (= @t108 (_ @t70 @t246)) (not (_ @t188 @t246)) (= @t68 (_ @t39 @t246)) (not (_ @t41 @t246))))))))))) % 0.44/0.91 (assume @p79 (forall (@list @t58 @t112 @t77 @t76) (=> @t226 (=> (not (_ @t204 @t76)) (= (= @t253 @t79) (and (=> @t81 @t252) (=> @t251 (exists (@list @t250) (and (= @t112 (_ @t78 @t250)) (not (_ @t204 @t250)) (= @t76 (_ @t59 @t250)) (not (_ @t61 @t250))))))))))) % 0.44/0.91 (assume @p80 (forall (@list @t53 @t116 @t85 @t84) (=> @t225 (=> (not (_ @t200 @t84)) (= (= @t257 @t87) (and (=> @t89 @t256) (=> @t255 (exists (@list @t254) (and (= @t116 (_ @t86 @t254)) (not (_ @t200 @t254)) (= @t84 (_ @t54 @t254)) (not (_ @t56 @t254))))))))))) % 0.44/0.91 (assume @p81 (forall (@list @t43 @t120 @t93 @t92) (=> @t223 (=> (not (_ @t192 @t92)) (= (= @t261 @t95) (and (=> @t97 @t260) (=> @t259 (exists (@list @t258) (and (= @t120 (_ @t94 @t258)) (not (_ @t192 @t258)) (= @t92 (_ @t44 @t258)) (not (_ @t46 @t258))))))))))) % 0.44/0.91 (assume @p82 (forall (@list @t48 @t124 @t101 @t100) (=> @t224 (=> (not (_ @t196 @t100)) (= (= @t265 @t103) (and (=> @t105 @t264) (=> @t263 (exists (@list @t262) (and (= @t124 (_ @t102 @t262)) (not (_ @t196 @t262)) (= @t100 (_ @t49 @t262)) (not (_ @t51 @t262))))))))))) % 0.44/0.91 (assume @p83 (forall @t229 (=> @t109 (= @t249 @t108)))) % 0.44/0.91 (assume @p84 (forall @t232 (=> @t113 (= @t253 @t112)))) % 0.44/0.91 (assume @p85 (forall @t235 (=> @t117 (= @t257 @t116)))) % 0.44/0.91 (assume @p86 (forall @t238 (=> @t121 (= @t261 @t120)))) % 0.44/0.91 (assume @p87 (forall @t241 (=> @t125 (= @t265 @t124)))) % 0.44/0.91 (assume @p88 (forall @t270 (=> (not @t269) (=> (not (_ @t268 @t68)) (= (= (_ @t267 @t108) (_ @t267 @t68)) @t248))))) % 0.44/0.91 (assume @p89 (forall @t273 (=> (not @t272) (=> (not (_ @t271 @t76)) (= (= @t134 (_ @t133 @t76)) @t252))))) % 0.44/0.91 (assume @p90 (forall @t276 (=> (not @t275) (=> (not (_ @t274 @t84)) (= (= @t130 (_ @t129 @t84)) @t256))))) % 0.44/0.91 (assume @p91 (forall (@list @t277 @t120 @t92) (=> (not @t280) (=> (not (_ @t279 @t92)) (= (= (_ @t278 @t120) (_ @t278 @t92)) @t260))))) % 0.44/0.91 (assume @p92 (forall (@list @t281 @t124 @t100) (=> (not @t284) (=> (not (_ @t283 @t100)) (= (= (_ @t282 @t124) (_ @t282 @t100)) @t264))))) % 0.44/0.91 (assume @p93 (forall (@list @t266 @t108) (=> @t269 (not (forall @t228 (=> (= @t108 (_ @t267 @t227)) (_ @t268 @t227))))))) % 0.44/0.91 (assume @p94 (forall @t135 (=> @t272 (not (forall @t231 (=> (= @t112 (_ @t133 @t230)) (_ @t271 @t230))))))) % 0.44/0.91 (assume @p95 (forall @t131 (=> @t275 (not (forall @t234 (=> (= @t116 (_ @t129 @t233)) (_ @t274 @t233))))))) % 0.44/0.91 (assume @p96 (forall (@list @t277 @t120) (=> @t280 (not (forall @t237 (=> (= @t120 (_ @t278 @t236)) (_ @t279 @t236))))))) % 0.44/0.91 (assume @p97 (forall (@list @t281 @t124) (=> @t284 (not (forall @t240 (=> (= @t124 (_ @t282 @t239)) (_ @t283 @t239))))))) % 0.44/0.91 (assume @p98 (forall @t75 (=> @t74 @t72))) % 0.44/0.91 (assume @p99 (forall @t83 (=> @t82 @t80))) % 0.44/0.91 (assume @p100 (forall @t91 (=> @t90 @t88))) % 0.44/0.91 (assume @p101 (forall @t99 (=> @t98 @t96))) % 0.44/0.91 (assume @p102 (forall @t107 (=> @t106 @t104))) % 0.44/0.91 (assume @p103 (forall (@list @t38 @t68) (_ @t41 @t285))) % 0.44/0.91 (assume @p104 (forall (@list @t58 @t76) (_ @t61 @t286))) % 0.44/0.91 (assume @p105 (forall (@list @t53 @t84) (_ @t56 @t287))) % 0.44/0.91 (assume @p106 (forall (@list @t43 @t92) (_ @t46 (_ @t44 @t92)))) % 0.44/0.91 (assume @p107 (forall (@list @t48 @t100) (_ @t51 (_ @t49 @t100)))) % 0.44/0.91 (assume @p108 (forall @t111 (=> @t110 (=> @t247 @t109)))) % 0.44/0.91 (assume @p109 (forall @t115 (=> @t114 (=> @t251 @t113)))) % 0.44/0.91 (assume @p110 (forall @t119 (=> @t118 (=> @t255 @t117)))) % 0.44/0.91 (assume @p111 (forall @t123 (=> @t122 (=> @t259 @t121)))) % 0.44/0.91 (assume @p112 (forall @t127 (=> @t126 (=> @t263 @t125)))) % 0.44/0.91 (assume @p113 (forall (@list @t53 @t85) (=> (= @t55 @t288) @t89))) % 0.44/0.91 (assume @p114 (forall (@list @t58 @t77) (=> (= @t60 @t289) @t81))) % 0.44/0.91 (assume @p115 (forall @t235 (not (= @t257 tptp.bot_bo1785112429specID)))) % 0.44/0.91 (assume @p116 (forall @t232 (not (= @t253 tptp.bot_bo443197316chanID)))) % 0.44/0.91 (assume @p117 (forall (@list @t53 @t85 @t142 @t290) (= (= (_ @t54 @t288) (_ (_ tptp.insert1671894227specID @t142) (_ (_ tptp.insert1671894227specID @t290) tptp.bot_bo1785112429specID))) (or (and (= @t53 @t142) (= @t85 @t290)) (and (= @t53 @t290) (= @t85 @t142)))))) % 0.44/0.91 (assume @p118 (forall (@list @t58 @t77 @t144 @t291) (= (= (_ @t59 @t289) (_ (_ tptp.insert751661162chanID @t144) (_ (_ tptp.insert751661162chanID @t291) tptp.bot_bo443197316chanID))) (or (and (= @t58 @t144) (= @t77 @t291)) (and (= @t58 @t291) (= @t77 @t144)))))) % 0.44/0.91 (assume @p119 (forall @t190 (= @t189 @t187))) % 0.44/0.91 (assume @p120 (forall @t194 (= @t193 @t191))) % 0.44/0.91 (assume @p121 (forall @t198 (= @t197 @t195))) % 0.44/0.91 (assume @p122 (forall @t202 (= @t201 @t199))) % 0.44/0.91 (assume @p123 (forall @t206 (= @t205 @t203))) % 0.44/0.91 (assume @p124 (forall @t293 (= (_ tptp.the_el827131246specID @t292) @t128))) % 0.44/0.91 (assume @p125 (forall @t295 (= (_ tptp.the_el2054381829chanID @t294) @t132))) % 0.44/0.91 (assume @p126 (forall @t293 (_ tptp.is_sin1501507247specID @t292))) % 0.44/0.91 (assume @p127 (forall @t295 (_ tptp.is_sin581274182chanID @t294))) % 0.44/0.91 (assume @p128 @t297) % 0.44/0.91 (assume @p129 (forall @t308 (=> @t307 (=> @t304 (=> @t32 (=> @t302 @t301)))))) % 0.44/0.91 (assume @p130 (forall (@list @t38 @t309) (= (_ @t41 (_ tptp.collect_Secrecy_KS @t309)) (_ @t309 @t38)))) % 0.44/0.91 (assume @p131 (forall (@list @t58 @t181) (= (_ @t61 @t184) (_ @t181 @t58)))) % 0.44/0.91 (assume @p132 (forall (@list @t53 @t176) (= (_ @t56 @t178) (_ @t176 @t53)))) % 0.44/0.91 (assume @p133 (forall (@list @t43 @t310) (= (_ @t46 (_ tptp.collec836099393ecrets @t310)) (_ @t310 @t43)))) % 0.44/0.91 (assume @p134 (forall (@list @t48 @t311) (= (_ @t51 (_ tptp.collect_Secrecy_Keys @t311)) (_ @t311 @t48)))) % 0.44/0.91 (assume @p135 (forall @t151 (= (_ tptp.collect_Secrecy_KS (lambda @t150 @t149)) @t108))) % 0.44/0.91 (assume @p136 (forall @t175 (= (_ tptp.collec625564175chanID (lambda @t174 @t173)) @t112))) % 0.44/0.91 (assume @p137 (forall @t169 (= (_ tptp.collec1545797240specID (lambda @t168 @t167)) @t116))) % 0.44/0.91 (assume @p138 (forall @t157 (= (_ tptp.collec836099393ecrets (lambda @t156 @t155)) @t120))) % 0.44/0.91 (assume @p139 (forall @t163 (= (_ tptp.collect_Secrecy_Keys (lambda @t162 @t161)) @t124))) % 0.44/0.91 (assume @p140 (forall @t313 (=> @t300 (=> @t32 (=> @t302 @t312))))) % 0.44/0.91 (assume @p141 (or @t297 (_ (_ tptp.ine tptp.q) @t296))) % 0.44/0.91 (assume @p142 (forall @t319 (=> @t32 (=> @t302 (=> (_ @t271 @t318) (or @t317 @t315)))))) % 0.44/0.91 (assume @p143 (forall @t325 (=> @t32 (=> @t302 (=> @t324 (or @t323 @t322)))))) % 0.44/0.91 (assume @p144 (forall @t67 (= (= @t326 (_ tptp.secrecy_kE @t63)) @t65))) % 0.44/0.91 (assume @p145 (forall @t330 (=> @t329 @t307))) % 0.44/0.91 (assume @p146 (forall @t331 (=> @t306 @t328))) % 0.44/0.91 (assume @p147 (forall @t341 (=> @t340 (not @t336)))) % 0.44/0.91 (assume @p148 (= tptp.is_sin1501507247specID (lambda @t343 (= @t342 (_ (_ tptp.insert1671894227specID (_ tptp.the_el827131246specID @t342)) tptp.bot_bo1785112429specID))))) % 0.44/0.91 (assume @p149 (= tptp.is_sin581274182chanID (lambda @t345 (= @t344 (_ (_ tptp.insert751661162chanID (_ tptp.the_el2054381829chanID @t344)) tptp.bot_bo443197316chanID))))) % 0.44/0.91 (assume @p150 (forall @t151 (=> @t207 (=> (forall (@list @t346 @t212) (=> (_ (_ tptp.member_Secrecy_KS @t346) @t108) (=> @t213 (= @t346 @t212)))) (_ tptp.is_sin1442426433ecy_KS @t108))))) % 0.44/0.91 (assume @p151 (forall @t157 (=> @t208 (=> (forall (@list @t347 @t214) (=> (_ (_ tptp.member2138796287ecrets @t347) @t120) (=> @t215 (= @t347 @t214)))) (_ tptp.is_sin1002224330ecrets @t120))))) % 0.44/0.91 (assume @p152 (forall @t163 (=> @t209 (=> (forall (@list @t348 @t216) (=> (_ (_ tptp.member_Secrecy_Keys @t348) @t124) (=> @t217 (= @t348 @t216)))) (_ tptp.is_sin1096471309y_Keys @t124))))) % 0.44/0.91 (assume @p153 (forall @t169 (=> @t210 (=> (forall (@list @t350 @t218) (=> (_ @t351 @t116) (=> @t219 (= @t350 @t218)))) @t349)))) % 0.44/0.91 (assume @p154 (forall @t175 (=> @t211 (=> (forall (@list @t353 @t220) (=> (_ @t354 @t112) (=> @t221 (= @t353 @t220)))) @t352)))) % 0.44/0.91 (assume @p155 (forall @t359 (=> @t358 (=> @t32 (=> @t302 @t357))))) % 0.44/0.91 (assume @p156 (forall @t362 (=> @t329 (=> @t361 (=> @t32 (=> @t302 @t360)))))) % 0.44/0.91 (assume @p157 (forall @t169 (=> @t349 (not (forall @t363 (not (= @t116 (_ (_ tptp.insert1671894227specID @t350) tptp.bot_bo1785112429specID)))))))) % 0.44/0.91 (assume @p158 (forall @t175 (=> @t352 (not (forall @t364 (not (= @t112 (_ (_ tptp.insert751661162chanID @t353) tptp.bot_bo443197316chanID)))))))) % 0.44/0.91 (assume @p159 (forall @t180 (= @t179 (= @t176 tptp.bot_bo1767780696ecID_o)))) % 0.44/0.91 (assume @p160 (forall @t186 (= @t185 (= @t181 tptp.bot_bo1012329985anID_o)))) % 0.44/0.91 (assume @p161 (forall (@list @t18 @t299 @t298 @t13 @t22 @t320) (=> @t307 (=> @t304 (=> @t32 (=> @t302 (=> @t367 (=> @t324 (not @t366))))))))) % 0.44/0.91 (assume @p162 (forall @t325 (=> @t32 (=> @t302 (=> (not @t369) (=> @t323 @t324)))))) % 0.44/0.91 (assume @p163 (forall (@list @t332) (= (_ tptp.secrec1016742679ession @t337) @t333))) % 0.44/0.91 (assume @p164 (forall @t362 (=> @t357 (=> @t32 (=> @t302 (=> @t370 @t358)))))) % 0.44/0.91 (assume @p165 (forall @t341 (= @t339 (or @t336 (_ @t372 @t371))))) % 0.44/0.91 (assume @p166 (forall @t381 (=> @t32 (=> @t26 (=> @t380 (=> @t323 @t378)))))) % 0.44/0.91 (assume @p167 (forall (@list @t373 @t18 @t320) (=> (not (_ @t376 @t383)) (=> @t375 (=> (not (_ @t376 @t19)) @t382))))) % 0.44/0.91 (assume @p168 (forall (@list @t384 @t18 @t22 @t13) (=> (_ @t385 @t383) (=> @t32 (_ @t385 @t379))))) % 0.44/0.91 (assume @p169 (forall (@list @t132 @t388 @t18 @t13) (=> (_ @t392 @t389) (=> @t391 (=> @t390 @t387))))) % 0.44/0.91 (assume @p170 (forall (@list @t18 @t393 @t132) (=> (not (_ @t327 @t393)) (=> (_ @t392 @t393) @t386)))) % 0.44/0.91 (assume @p171 (forall (@list @t320 @t299 @t18 @t298) (=> @t367 (=> @t323 (=> @t366 @t306))))) % 0.44/0.91 (assume @p172 (forall (@list @t22 @t18 @t13 @t320 @t393) (=> @t32 (=> @t302 (=> @t323 (=> (_ @t365 @t393) (=> (forall @t364 (=> (_ @t354 @t318) (not (_ (_ tptp.exprChannel @t353) @t393)))) @t369))))))) % 0.44/0.91 (assume @p173 (forall @t362 (=> @t357 (=> @t32 (=> @t302 (=> (exists @t402 (and @t401 @t398 @t397)) @t358)))))) % 0.44/0.91 (assume @p174 (forall @t403 (=> @t328 (=> @t32 (=> @t302 (=> (exists @t402 (and @t400 @t398 @t397)) @t358)))))) % 0.44/0.91 (assume @p175 (forall @t308 (=> @t312 (=> @t32 (=> @t302 (=> (exists @t402 (and @t401 @t404 @t398 @t397)) @t300)))))) % 0.44/0.91 (assume @p176 (forall @t405 (=> @t306 (=> @t32 (=> @t302 (=> (exists @t402 (and @t399 @t398 @t397 @t404)) @t300)))))) % 0.44/0.91 (assume @p177 (forall @t381 (=> @t32 (=> @t26 (=> @t380 (=> @t322 @t410)))))) % 0.44/0.91 (assume @p178 (forall @t381 (=> @t32 (=> @t26 (=> @t380 (=> @t323 @t410)))))) % 0.44/0.91 (assume @p179 (forall @t381 (=> @t32 (=> @t26 (=> @t380 (=> @t322 @t378)))))) % 0.44/0.91 (assume @p180 (forall @t308 (=> @t306 (=> @t304 (=> @t32 (=> @t302 (=> (exists @t402 (and @t412 @t404 @t396)) @t301))))))) % 0.44/0.91 (assume @p181 (forall @t362 (=> @t328 (=> @t361 (=> @t32 (=> @t302 (=> (exists @t402 (and @t412 @t396)) @t360))))))) % 0.44/0.91 (assume @p182 (forall (@list @t22 @t18 @t13 @t388) (=> @t32 (=> @t415 (=> @t391 (=> @t390 (=> (not (_ @t413 @t383)) (=> (not (_ @t413 @t414)) (not (_ @t413 @t379)))))))))) % 0.44/0.91 (assume @p183 (forall @t424 (=> @t423 (=> @t32 (=> @t415 (=> (not @t422) (=> @t421 (=> @t420 @t418)))))))) % 0.44/0.91 (assume @p184 (forall @t424 (=> @t423 (=> @t32 (=> @t415 (=> (not @t418) (=> @t421 (=> @t420 @t422)))))))) % 0.44/0.91 (assume @p185 (forall @t433 (=> @t32 (=> @t302 (=> @t432 (=> @t430 (=> @t429 (=> @t427 @t301)))))))) % 0.44/0.91 (assume @p186 (forall @t437 (=> @t304 (=> @t32 (=> @t302 (=> @t436 (=> @t435 @t301))))))) % 0.44/0.91 (assume @p187 (forall @t441 (=> @t440 @t439))) % 0.44/0.91 (assume @p188 (forall @t441 (=> @t439 @t440))) % 0.44/0.91 (assume @p189 (forall @t443 (=> @t436 (=> @t442 @t329)))) % 0.44/0.91 (assume @p190 (forall @t443 (=> @t436 (=> (not @t442) @t328)))) % 0.44/0.91 (assume @p191 (forall @t444 (=> @t361 (=> @t32 (=> @t302 (=> @t436 (=> @t435 @t360))))))) % 0.44/0.91 (assume @p192 (forall @t445 (=> @t32 (=> @t302 (=> @t432 (=> @t430 (=> @t429 (=> @t427 @t360)))))))) % 0.44/0.91 (assume @p193 (forall @t293 (=> (_ tptp.correc965049635ionLoc @t128) (=> (= (_ tptp.subcomponents @t128) tptp.bot_bo1785112429specID) (= (_ tptp.loc @t128) tptp.bot_bo443197316chanID))))) % 0.44/0.91 (assume @p194 (forall (@list @t22 @t18 @t13 @t332) (=> @t32 (=> @t415 (=> @t26 (=> (not (_ @t372 @t19)) (=> (not (_ @t372 @t14)) (=> (not (_ @t327 @t333)) (=> (not (_ @t355 @t333)) (=> (not (_ @t372 @t446)) (not (_ @t372 @t379)))))))))))) % 0.44/0.91 (assume @p195 (forall @t454 (=> @t32 (=> @t26 (=> @t453 (=> @t323 @t452)))))) % 0.44/0.91 (assume @p196 (forall @t454 (=> @t32 (=> @t26 (=> @t453 (=> @t322 @t452)))))) % 0.44/0.91 (assume @p197 (forall @t454 (=> @t32 (=> @t26 (=> @t453 (=> @t323 @t455)))))) % 0.44/0.91 (assume @p198 (forall @t461 (=> (=> (not @t460) @t459) @t458))) % 0.44/0.91 (assume @p199 (forall @t465 (=> (=> (not @t464) @t463) @t462))) % 0.44/0.91 (assume @p200 (forall @t469 (=> (=> (not @t468) @t467) @t466))) % 0.44/0.91 (assume @p201 (forall @t475 (=> (=> (not @t474) @t473) @t472))) % 0.44/0.91 (assume @p202 (forall @t481 (=> (=> (not @t480) @t479) @t478))) % 0.44/0.91 (assume @p203 (forall @t482 (= @t458 (or @t459 @t460)))) % 0.44/0.91 (assume @p204 (forall @t483 (= @t462 (or @t463 @t464)))) % 0.44/0.91 (assume @p205 (forall @t484 (= @t466 (or @t467 @t468)))) % 0.44/0.91 (assume @p206 (forall @t485 (= @t472 (or @t473 @t474)))) % 0.44/0.91 (assume @p207 (forall @t486 (= @t478 (or @t479 @t480)))) % 0.44/0.91 (assume @p208 (forall @t491 (= (= @t490 (_ tptp.secrecy_sKS @t487)) @t489))) % 0.44/0.91 (assume @p209 (forall @t491 (= (= @t492 (_ tptp.secrecy_sE @t487)) @t489))) % 0.44/0.91 (assume @p210 (forall @t494 (= (= @t471 tptp.bot_bo1943466239ecy_KS) (and @t146 @t493)))) % 0.44/0.91 (assume @p211 (forall (@list @t116 @t84) (= (= @t457 tptp.bot_bo1785112429specID) (and @t164 @t495)))) % 0.44/0.91 (assume @p212 (forall @t497 (= (= @t477 tptp.bot_bo443197316chanID) (and @t170 @t496)))) % 0.44/0.91 (assume @p213 (forall (@list @t116 @t53 @t84) (= (_ @t456 @t287) (_ @t54 @t457)))) % 0.44/0.91 (assume @p214 (forall (@list @t108 @t38 @t68) (= (_ @t470 @t285) (_ @t39 @t471)))) % 0.44/0.91 (assume @p215 (forall (@list @t112 @t58 @t76) (= (_ @t476 @t286) (_ @t59 @t477)))) % 0.44/0.91 (assume @p216 (forall (@list @t53 @t84 @t498) (= (_ (_ tptp.sup_su1712599557specID @t287) @t498) (_ @t54 (_ (_ tptp.sup_su1712599557specID @t84) @t498))))) % 0.44/0.91 (assume @p217 (forall (@list @t38 @t68 @t499) (= (_ (_ tptp.sup_su1301156759ecy_KS @t285) @t499) (_ @t39 @t501)))) % 0.44/0.91 (assume @p218 (forall (@list @t58 @t76 @t502) (= (_ (_ tptp.sup_su370684444chanID @t286) @t502) (_ @t59 @t504)))) % 0.44/0.91 (assume @p219 (forall @t482 (=> @t458 (=> (not @t459) @t460)))) % 0.44/0.91 (assume @p220 (forall @t483 (=> @t462 (=> (not @t463) @t464)))) % 0.44/0.91 (assume @p221 (forall @t484 (=> @t466 (=> (not @t467) @t468)))) % 0.44/0.91 (assume @p222 (forall @t485 (=> @t472 (=> (not @t473) @t474)))) % 0.44/0.91 (assume @p223 (forall @t486 (=> @t478 (=> (not @t479) @t480)))) % 0.44/0.91 (assume @p224 (forall @t482 (=> @t459 @t458))) % 0.44/0.91 (assume @p225 (forall @t483 (=> @t463 @t462))) % 0.44/0.91 (assume @p226 (forall @t484 (=> @t467 @t466))) % 0.44/0.91 (assume @p227 (forall @t485 (=> @t473 @t472))) % 0.44/0.91 (assume @p228 (forall @t486 (=> @t479 @t478))) % 0.44/0.91 (assume @p229 (forall @t461 (=> @t460 @t458))) % 0.44/0.91 (assume @p230 (forall @t465 (=> @t464 @t462))) % 0.44/0.91 (assume @p231 (forall @t469 (=> @t468 @t466))) % 0.44/0.91 (assume @p232 (forall @t475 (=> @t474 @t472))) % 0.44/0.91 (assume @p233 (forall @t481 (=> @t480 @t478))) % 0.44/0.91 (assume @p234 (forall @t508 (= (exists @t150 (and @t507 @t505)) (or (exists @t150 (and @t149 @t505)) (exists @t150 (and @t506 @t505)))))) % 0.44/0.91 (assume @p235 (forall @t511 (= (exists @t174 (and @t510 @t182)) (or (exists @t174 (and @t173 @t182)) (exists @t174 (and @t509 @t182)))))) % 0.44/0.91 (assume @p236 (forall @t508 (= (forall @t150 (=> @t507 @t505)) (and (forall @t150 (=> @t149 @t505)) (forall @t150 (=> @t506 @t505)))))) % 0.44/0.91 (assume @p237 (forall @t511 (= (forall @t174 (=> @t510 @t182)) (and (forall @t174 (=> @t173 @t182)) (forall @t174 (=> @t509 @t182)))))) % 0.44/0.91 (assume @p238 (forall @t513 (= (_ (_ tptp.sup_su1301156759ecy_KS @t471) @t499) @t512))) % 0.44/0.91 (assume @p239 (forall @t515 (= (_ (_ tptp.sup_su370684444chanID @t477) @t502) @t514))) % 0.44/0.91 (assume @p240 (forall @t151 (= (_ @t470 @t108) @t108))) % 0.44/0.91 (assume @p241 (forall @t175 (= (_ @t476 @t112) @t112))) % 0.44/0.91 (assume @p242 (= tptp.sup_su1301156759ecy_KS (lambda (@list @t516 @t517) (_ (_ tptp.sup_su1301156759ecy_KS @t517) @t516)))) % 0.44/0.91 (assume @p243 (= tptp.sup_su370684444chanID (lambda (@list @t344 @t518) (_ (_ tptp.sup_su370684444chanID @t518) @t344)))) % 0.44/0.91 (assume @p244 (forall @t494 (= (_ @t470 @t471) @t471))) % 0.44/0.91 (assume @p245 (forall @t497 (= (_ @t476 @t477) @t477))) % 0.44/0.91 (assume @p246 (forall @t513 (= @t512 (_ @t500 (_ @t470 @t499))))) % 0.44/0.91 (assume @p247 (forall @t515 (= @t514 (_ @t503 (_ @t476 @t502))))) % 0.44/0.91 (assume @p248 (forall (@list @t519) (= (_ tptp.secrec1016742679ession @t521) @t520))) % 0.44/0.91 (assume @p249 (forall @t151 (= (_ @t470 tptp.bot_bo1943466239ecy_KS) @t108))) % 0.44/0.91 (assume @p250 (forall @t169 (= (_ @t456 tptp.bot_bo1785112429specID) @t116))) % 0.44/0.91 (assume @p251 (forall @t175 (= (_ @t476 tptp.bot_bo443197316chanID) @t112))) % 0.44/0.91 (assume @p252 (forall (@list @t68) (= (_ @t522 @t68) @t68))) % 0.44/0.91 (assume @p253 (forall (@list @t84) (= (_ @t523 @t84) @t84))) % 0.44/0.91 (assume @p254 (forall (@list @t76) (= (_ @t524 @t76) @t76))) % 0.44/0.91 (assume @p255 (forall @t528 (=> @t527 (not @t525)))) % 0.44/0.91 (assume @p256 (forall (@list @t530) (=> (forall (@list @t531) (not (= @t530 (_ tptp.secrecy_kKS @t531)))) (not (forall (@list @t529) (not (= @t530 (_ tptp.secrecy_sKS @t529)))))))) % 0.44/0.91 (assume @p257 (forall (@list @t309 @t532) (=> (forall (@list @t348) (_ @t309 (_ tptp.secrecy_kKS @t348))) (=> (forall (@list @t347) (_ @t309 (_ tptp.secrecy_sKS @t347))) (_ @t309 @t532))))) % 0.44/0.91 (assume @p258 (forall @t533 (not (= @t66 @t490)))) % 0.44/0.91 (assume @p259 (forall @t533 (not (= @t326 @t492)))) % 0.44/0.91 (assume @p260 (forall @t528 (= @t526 (or @t525 (_ @t534 @t371))))) % 0.44/0.91 (assume @p261 (forall @t270 (= (= @t535 @t471) @t538))) % 0.44/0.91 (assume @p262 (forall @t276 (= (= @t292 @t457) @t541))) % 0.44/0.91 (assume @p263 (forall @t273 (= (= @t294 @t477) @t544))) % 0.44/0.91 (assume @p264 (forall (@list @t108 @t68 @t266) (= (= @t471 @t535) @t538))) % 0.44/0.91 (assume @p265 (forall (@list @t116 @t84 @t128) (= (= @t457 @t292) @t541))) % 0.44/0.91 (assume @p266 (forall (@list @t112 @t76 @t132) (= (= @t477 @t294) @t544))) % 0.44/0.91 (assume @p267 (= tptp.insert_Secrecy_KS (lambda (@list @t546 @t545) (_ (_ tptp.sup_su1301156759ecy_KS (_ (_ tptp.insert_Secrecy_KS @t546) tptp.bot_bo1943466239ecy_KS)) @t545)))) % 0.44/0.91 (assume @p268 (= tptp.insert1671894227specID (lambda (@list @t548 @t547) (_ (_ tptp.sup_su1712599557specID (_ (_ tptp.insert1671894227specID @t548) tptp.bot_bo1785112429specID)) @t547)))) % 0.44/0.91 (assume @p269 (= tptp.insert751661162chanID (lambda (@list @t550 @t549) (_ (_ tptp.sup_su370684444chanID (_ (_ tptp.insert751661162chanID @t550) tptp.bot_bo443197316chanID)) @t549)))) % 0.44/0.91 (assume @p270 (forall (@list @t447 @t18 @t320) (=> (not (_ @t450 @t383)) (=> @t449 (=> (not (_ @t450 @t19)) @t382))))) % 0.44/0.91 (assume @p271 (forall (@list @t22 @t18 @t13 @t519) (=> @t32 (=> @t415 (=> @t26 (=> (not (_ @t534 @t19)) (=> (not (_ @t534 @t14)) (=> (not (_ @t327 @t520)) (=> (not (_ @t355 @t520)) (=> (not (_ @t534 @t446)) (not (_ @t534 @t379)))))))))))) % 0.44/0.91 (assume @p272 (forall @t560 (=> @t559 (=> @t32 (=> @t415 (=> @t558 (=> @t556 (=> @t555 @t553)))))))) % 0.44/0.91 (assume @p273 (forall @t560 (=> @t559 (=> @t32 (=> @t415 (=> @t561 (=> @t556 (=> @t555 @t557)))))))) % 0.44/0.91 (assume @p274 (forall (@list @t22 @t18 @t13 @t551) (=> @t32 (=> @t415 (=> @t561 (=> @t558 (=> @t556 (=> @t555 (not @t559))))))))) % 0.44/0.91 (assume @p275 (forall (@list @t132 @t562 @t18 @t13) (=> (_ @t392 @t563) (=> (not (_ @t327 @t563)) (=> (not (_ @t355 @t563)) @t387))))) % 0.44/0.91 (assume @p276 (forall @t33 (=> @t32 (=> @t415 (=> @t26 (=> @t37 (=> @t36 (=> @t570 (=> @t567 (=> (not (_ @t16 @t446)) @t564)))))))))) % 0.44/0.91 (assume @p277 (forall @t33 (=> @t32 (=> @t415 (=> @t570 (=> @t567 (=> (not (_ @t16 @t383)) (=> (not (_ @t16 @t414)) @t564)))))))) % 0.44/0.91 (assume @p278 (forall @t454 (=> @t32 (=> @t26 (=> @t453 (=> @t322 @t455)))))) % 0.44/0.91 (assume @p279 (forall @t573 (= (_ @t572 tptp.bot_bo1943466239ecy_KS) @t571))) % 0.44/0.91 (assume @p280 (forall @t576 (= (_ @t575 tptp.bot_bo1785112429specID) @t574))) % 0.44/0.91 (assume @p281 (forall @t579 (= (_ @t578 tptp.bot_bo443197316chanID) @t577))) % 0.44/0.91 (assume @p282 (forall @t583 (= (= tptp.bot_bo1943466239ecy_KS @t582) @t581))) % 0.44/0.91 (assume @p283 (forall @t587 (= (= tptp.bot_bo1785112429specID @t586) @t585))) % 0.44/0.91 (assume @p284 (forall @t591 (= (= tptp.bot_bo443197316chanID @t590) @t589))) % 0.44/0.91 (assume @p285 (forall @t573 (= (_ @t522 @t571) @t571))) % 0.44/0.91 (assume @p286 (forall @t576 (= (_ @t523 @t574) @t574))) % 0.44/0.91 (assume @p287 (forall @t579 (= (_ @t524 @t577) @t577))) % 0.44/0.91 (assume @p288 (forall @t583 (= (= @t582 tptp.bot_bo1943466239ecy_KS) @t581))) % 0.44/0.91 (assume @p289 (forall @t587 (= (= @t586 tptp.bot_bo1785112429specID) @t585))) % 0.44/0.91 (assume @p290 (forall @t591 (= (= @t590 tptp.bot_bo443197316chanID) @t589))) % 0.44/0.91 (assume @p291 (forall (@list @t593 @t592) (= (= (_ @t594 @t592) tptp.bot_bo1943466239ecy_KS) (and (= @t593 tptp.bot_bo1943466239ecy_KS) (= @t592 tptp.bot_bo1943466239ecy_KS))))) % 0.44/0.91 (assume @p292 (forall @t600 (= (= @t599 tptp.bot_bo1785112429specID) @t597))) % 0.44/0.91 (assume @p293 (forall @t606 (= (= @t605 tptp.bot_bo443197316chanID) @t603))) % 0.44/0.91 (assume @p294 (forall @t607 (= (_ @t522 @t593) @t593))) % 0.44/0.91 (assume @p295 (forall @t608 (= (_ @t523 @t596) @t596))) % 0.44/0.91 (assume @p296 (forall @t609 (= (_ @t524 @t602) @t602))) % 0.44/0.91 (assume @p297 (forall @t607 (= (_ @t594 tptp.bot_bo1943466239ecy_KS) @t593))) % 0.44/0.91 (assume @p298 (forall @t608 (= (_ @t598 tptp.bot_bo1785112429specID) @t596))) % 0.44/0.91 (assume @p299 (forall @t609 (= (_ @t604 tptp.bot_bo443197316chanID) @t602))) % 0.44/0.91 (assume @p300 (forall @t600 (= (= tptp.bot_bo1785112429specID @t599) @t597))) % 0.44/0.91 (assume @p301 (forall @t606 (= (= tptp.bot_bo443197316chanID @t605) @t603))) % 0.44/0.91 (assume @p302 (forall (@list @t18 @t112 @t298 @t76) (=> (_ (_ @t305 @t112) @t298) (_ (_ @t305 @t477) @t298)))) % 0.44/0.91 (assume @p303 (forall @t362 (=> @t615 (=> @t32 (=> @t611 (=> @t370 @t610)))))) % 0.44/0.91 (assume @p304 (forall @t624 (=> @t623 (=> @t622 (=> (_ @t619 (_ tptp.specSecrets @t128)) @t620))))) % 0.44/0.91 (assume @p305 (forall @t629 (=> @t623 (=> @t622 (=> (_ @t627 (_ tptp.specKeys @t128)) @t628))))) % 0.44/0.91 (assume @p306 (forall @t359 (=> @t610 (=> @t32 (=> @t611 @t615))))) % 0.44/0.91 (assume @p307 (forall @t629 (=> @t623 (=> @t622 (=> @t628 (exists @t363 (and @t631 (_ @t627 @t630)))))))) % 0.44/0.91 (assume @p308 (forall @t624 (=> @t623 (=> @t622 (=> @t620 (exists @t363 (and @t631 (_ @t619 (_ tptp.specSecrets @t350))))))))) % 0.44/0.91 (assume @p309 (forall @t362 (=> @t614 (=> @t635 (=> @t32 (=> @t611 (=> (exists @t402 (and @t634 @t396)) @t632))))))) % 0.44/0.91 (assume @p310 (forall @t444 (=> @t635 (=> @t32 (=> @t611 (=> @t637 (=> @t435 @t632))))))) % 0.44/0.91 (assume @p311 (forall @t445 (=> @t32 (=> @t611 (=> @t639 (=> @t638 (=> @t429 (=> @t427 @t632)))))))) % 0.44/0.91 (assume @p312 (forall @t441 (=> @t641 @t640))) % 0.44/0.91 (assume @p313 (forall @t441 (=> @t640 @t641))) % 0.44/0.91 (assume @p314 (forall @t433 (=> @t32 (=> @t611 (=> @t639 (=> @t638 (=> (= @t299 (_ (_ tptp.sup_su370684444chanID @t428) @t426)) (=> @t429 (=> @t427 @t643))))))))) % 0.44/0.91 (assume @p315 (forall @t651 (= @t650 (= @t648 @t646)))) % 0.44/0.91 (assume @p316 (forall @t657 (=> @t656 (=> @t527 (=> @t655 (not @t653)))))) % 0.44/0.91 (assume @p317 (forall @t330 (=> (not @t614) (not @t658)))) % 0.44/0.91 (assume @p318 (forall @t331 (=> @t658 @t614))) % 0.44/0.91 (assume @p319 (forall @t313 (=> @t642 (=> @t32 (=> @t611 @t660))))) % 0.44/0.91 (assume @p320 (forall @t437 (=> @t661 (=> @t32 (=> @t611 (=> @t637 (=> @t435 @t643))))))) % 0.44/0.91 (assume @p321 (forall @t308 (=> @t658 (=> @t661 (=> @t32 (=> @t611 (=> (exists @t402 (and @t634 @t404 @t396)) @t643))))))) % 0.44/0.91 (assume @p322 (forall @t666 (= @t665 (= @t664 @t663)))) % 0.44/0.91 (assume @p323 (forall @t670 (=> @t669 (=> @t340 (=> @t668 (not @t667)))))) % 0.44/0.91 (assume @p324 (forall @t666 (=> @t665 (=> @t664 @t663)))) % 0.44/0.91 (assume @p325 (forall @t670 (=> @t669 (=> @t667 (=> @t668 @t339))))) % 0.44/0.91 (assume @p326 (forall @t657 (=> @t656 (=> @t653 (=> @t655 @t526))))) % 0.44/0.91 (assume @p327 (forall @t651 (=> @t650 (=> @t648 @t646)))) % 0.44/0.91 (assume @p328 (forall @t308 (=> @t660 (=> @t32 (=> @t611 (=> (exists @t402 (and @t675 @t404 @t398 @t397)) @t642)))))) % 0.44/0.91 (assume @p329 (forall @t405 (=> @t658 (=> @t32 (=> @t611 (=> (exists @t402 (and @t672 @t398 @t397 @t404)) @t642)))))) % 0.44/0.91 (assume @p330 (forall @t362 (=> @t615 (=> @t32 (=> @t611 (=> (exists @t402 (and @t675 @t398 @t397)) @t610)))))) % 0.44/0.91 (assume @p331 (forall @t319 (=> @t32 (=> @t611 (=> (_ @t271 (_ tptp.out @t22)) (or (_ @t271 @t673) (_ @t271 @t671))))))) % 0.44/0.91 (assume @p332 (forall @t403 (=> @t614 (=> @t32 (=> @t611 (=> (exists @t402 (and @t674 @t398 @t397)) @t610)))))) % 0.44/0.91 (assume @p333 (forall (@list @t18 @t334 @t519) (=> @t676 (=> @t527 (not (_ @t613 @t520)))))) % 0.44/0.91 (assume @p334 (forall (@list @t18 @t334 @t332) (=> @t676 (=> @t340 (not (_ @t613 @t333)))))) % 0.44/0.91 (assume @p335 (forall (@list @t616 @t128 @t677) (=> (_ tptp.correc17873122onKeys @t616) (=> @t622 (=> (_ @t678 @t625) (exists @t363 (and @t631 (_ @t678 @t630)))))))) % 0.44/0.91 (assume @p336 (not (not @t680))) % 0.44/0.91 (assume @p337 true) % 0.44/0.91 (step @p338 (= tptp.is_emp1849217361specID @t681) :rule refl :args (@t681)) % 0.44/0.91 (step @p339 (= tptp.is_emp928984296chanID @t682) :rule refl :args (@t682)) % 0.44/0.91 (step @p340 (= tptp.is_sin1501507247specID @t683) :rule refl :args (@t683)) % 0.44/0.91 (step @p341 (= tptp.is_sin581274182chanID @t684) :rule refl :args (@t684)) % 0.44/0.91 (step @p342 (= tptp.bot_bot_Secrecy_KS_o @t685) :rule refl :args (@t685)) % 0.44/0.91 (step @p343 (= tptp.bot_bo1909946299rets_o @t686) :rule refl :args (@t686)) % 0.44/0.91 (step @p344 (= tptp.bot_bo2072920570Keys_o @t687) :rule refl :args (@t687)) % 0.44/0.91 (step @p345 (= tptp.bot_bo1767780696ecID_o @t688) :rule refl :args (@t688)) % 0.44/0.91 (step @p346 (= tptp.bot_bo1012329985anID_o @t689) :rule refl :args (@t689)) % 0.44/0.91 (step @p347 (= tptp.ine @t699) :rule refl :args (@t699)) % 0.44/0.91 (step @p348 (= tptp.ineM @t703) :rule refl :args (@t703)) % 0.44/0.91 (step @p349 (= tptp.ine_exprChannelSet @t711) :rule refl :args (@t711)) % 0.44/0.91 (step @p350 (= tptp.ine_ex1303305700Single @t715) :rule refl :args (@t715)) % 0.44/0.91 (step @p351 (= tptp.locStream @t720) :rule refl :args (@t720)) % 0.44/0.91 (step @p352 (= tptp.inStream @t721) :rule refl :args (@t721)) % 0.44/0.91 (step @p353 (= tptp.notSpe1586871396tsExpr @t726) :rule refl :args (@t726)) % 0.44/0.91 (step @p354 (= tptp.eout @t729) :rule refl :args (@t729)) % 0.44/0.91 (step @p355 (= tptp.eoutM @t730) :rule refl :args (@t730)) % 0.44/0.91 (step @p356 (= tptp.out_exprChannelSet @t732) :rule refl :args (@t732)) % 0.44/0.91 (step @p357 (= tptp.out_ex985543062Single @t733) :rule refl :args (@t733)) % 0.44/0.91 (step @p358 :rule refl :args ((tptp.member_Secrecy_KS @t15 @t14))) % 0.44/0.91 (step @p359 :rule refl :args (@t734)) % 0.44/0.91 (step @p360 :rule refl :args (@t15)) % 0.44/0.91 (step @p361 :rule cong :premises (@p360 @p359) :args (@t735)) % 0.44/0.91 (step @p362 :rule trans :premises (@p361 @p358)) % 0.44/0.91 (step @p363 :rule refl :args (@t16)) % 0.44/0.91 (step @p364 :rule ho_cong :premises (@p363 @p359)) % 0.44/0.91 (step @p365 :rule cong :premises (@p364 @p362) :args ((= (_ @t16 @t734) @t735))) % 0.44/0.91 (step @p366 :rule symm :premises (@p365)) % 0.44/0.91 (step @p367 :rule refl :args (@t17)) % 0.44/0.91 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 0.44/0.91 (step @p369 :rule refl :args (@t14)) % 0.44/0.91 (step @p370 :rule cong :premises (@p369 @p359) :args ((= @t14 @t734))) % 0.44/0.91 (step @p371 :rule symm :premises (@p370)) % 0.44/0.91 (step @p372 :rule eq_resolve :premises (@p369 @p371)) % 0.44/0.91 (step @p373 :rule ho_cong :premises (@p363 @p372)) % 0.44/0.91 (step @p374 :rule trans :premises (@p373 @p368)) % 0.44/0.91 (step @p375 :rule refl :args ((tptp.member_Secrecy_KS @t15 @t19))) % 0.44/0.91 (step @p376 :rule refl :args (@t736)) % 0.44/0.91 (step @p377 :rule cong :premises (@p360 @p376) :args (@t737)) % 0.44/0.91 (step @p378 :rule trans :premises (@p377 @p375)) % 0.44/0.91 (step @p379 :rule ho_cong :premises (@p363 @p376)) % 0.44/0.91 (step @p380 :rule cong :premises (@p379 @p378) :args ((= (_ @t16 @t736) @t737))) % 0.44/0.91 (step @p381 :rule symm :premises (@p380)) % 0.44/0.91 (step @p382 :rule refl :args (@t20)) % 0.44/0.91 (step @p383 :rule eq_resolve :premises (@p382 @p381)) % 0.44/0.91 (step @p384 :rule refl :args (@t19)) % 0.44/0.91 (step @p385 :rule cong :premises (@p384 @p376) :args ((= @t19 @t736))) % 0.44/0.91 (step @p386 :rule symm :premises (@p385)) % 0.44/0.91 (step @p387 :rule eq_resolve :premises (@p384 @p386)) % 0.44/0.91 (step @p388 :rule ho_cong :premises (@p363 @p387)) % 0.44/0.91 (step @p389 :rule trans :premises (@p388 @p383)) % 0.44/0.91 (step @p390 :rule refl :args ((tptp.member_Secrecy_KS @t15 @t23))) % 0.44/0.91 (step @p391 :rule refl :args (@t738)) % 0.44/0.91 (step @p392 :rule cong :premises (@p360 @p391) :args (@t739)) % 0.44/0.91 (step @p393 :rule trans :premises (@p392 @p390)) % 0.44/0.91 (step @p394 :rule ho_cong :premises (@p363 @p391)) % 0.44/0.91 (step @p395 :rule cong :premises (@p394 @p393) :args ((= (_ @t16 @t738) @t739))) % 0.44/0.91 (step @p396 :rule symm :premises (@p395)) % 0.44/0.91 (step @p397 :rule refl :args (@t24)) % 0.44/0.91 (step @p398 :rule eq_resolve :premises (@p397 @p396)) % 0.44/0.91 (step @p399 :rule refl :args (@t23)) % 0.44/0.91 (step @p400 :rule cong :premises (@p399 @p391) :args ((= @t23 @t738))) % 0.44/0.91 (step @p401 :rule symm :premises (@p400)) % 0.44/0.91 (step @p402 :rule eq_resolve :premises (@p399 @p401)) % 0.44/0.91 (step @p403 :rule ho_cong :premises (@p363 @p402)) % 0.44/0.91 (step @p404 :rule trans :premises (@p403 @p398)) % 0.44/0.91 (step @p405 :rule cong :premises (@p404) :args (@t35)) % 0.44/0.91 (step @p406 :rule refl :args (@t740)) % 0.44/0.91 (step @p407 :rule refl :args (@t26)) % 0.44/0.91 (step @p408 :rule cong :premises (@p407 @p406) :args ((= @t26 @t740))) % 0.44/0.91 (step @p409 :rule symm :premises (@p408)) % 0.44/0.91 (step @p410 :rule eq_resolve :premises (@p407 @p409)) % 0.44/0.91 (step @p411 :rule cong :premises (@p410) :args (@t741)) % 0.44/0.91 (step @p412 :rule refl :args ((tptp.insert1671894227specID @t18 @t28))) % 0.44/0.91 (step @p413 :rule refl :args (@t742)) % 0.44/0.91 (step @p414 :rule refl :args (@t18)) % 0.44/0.91 (step @p415 :rule cong :premises (@p414 @p413) :args (@t743)) % 0.44/0.91 (step @p416 :rule trans :premises (@p415 @p412)) % 0.44/0.91 (step @p417 :rule refl :args (@t29)) % 0.44/0.91 (step @p418 :rule ho_cong :premises (@p417 @p413)) % 0.44/0.91 (step @p419 :rule cong :premises (@p418 @p416) :args ((= (_ @t29 @t742) @t743))) % 0.44/0.91 (step @p420 :rule symm :premises (@p419)) % 0.44/0.91 (step @p421 :rule refl :args (@t30)) % 0.44/0.91 (step @p422 :rule eq_resolve :premises (@p421 @p420)) % 0.44/0.91 (step @p423 :rule refl :args (@t28)) % 0.44/0.91 (step @p424 :rule cong :premises (@p423 @p413) :args ((= @t28 @t742))) % 0.44/0.91 (step @p425 :rule symm :premises (@p424)) % 0.44/0.91 (step @p426 :rule eq_resolve :premises (@p423 @p425)) % 0.44/0.91 (step @p427 :rule ho_cong :premises (@p417 @p426)) % 0.44/0.91 (step @p428 :rule trans :premises (@p427 @p422)) % 0.44/0.91 (step @p429 :rule refl :args (@t744)) % 0.44/0.91 (step @p430 :rule refl :args (@t31)) % 0.44/0.91 (step @p431 :rule cong :premises (@p430 @p429) :args ((= @t31 @t744))) % 0.44/0.91 (step @p432 :rule symm :premises (@p431)) % 0.44/0.91 (step @p433 :rule eq_resolve :premises (@p430 @p432)) % 0.44/0.91 (step @p434 :rule cong :premises (@p433 @p428) :args (@t32)) % 0.44/0.91 (step @p435 :rule cong :premises (@p434) :args (@t745)) % 0.44/0.91 (step @p436 :rule nary_cong :premises (@p435 @p411 @p405 @p389 @p374) :args (@t746)) % 0.44/0.91 (step @p437 :rule cong :premises (@p436) :args ((forall @t33 @t746))) % 0.44/0.91 (step @p438 :rule aci_norm :args ((= (or @t745 @t747) @t746))) % 0.44/0.91 (step @p439 :rule aci_norm :args ((= (or @t741 @t748) @t747))) % 0.44/0.91 (step @p440 :rule aci_norm :args ((= (or @t35 @t21) @t748))) % 0.44/0.91 (step @p441 :rule bool-impl-elim :args (@t24 @t21)) % 0.44/0.91 (step @p442 :rule trans :premises (@p441 @p440)) % 0.44/0.91 (step @p443 :rule refl :args (@t741)) % 0.44/0.91 (step @p444 :rule nary_cong :premises (@p443 @p442) :args ((or @t741 @t25))) % 0.44/0.91 (step @p445 :rule trans :premises (@p444 @p439)) % 0.44/0.91 (step @p446 :rule bool-impl-elim :args (@t26 @t25)) % 0.44/0.91 (step @p447 :rule trans :premises (@p446 @p445)) % 0.44/0.91 (step @p448 :rule refl :args (@t745)) % 0.44/0.91 (step @p449 :rule nary_cong :premises (@p448 @p447) :args ((or @t745 @t27))) % 0.44/0.91 (step @p450 :rule trans :premises (@p449 @p438)) % 0.44/0.91 (step @p451 :rule bool-impl-elim :args (@t32 @t27)) % 0.44/0.91 (step @p452 :rule trans :premises (@p451 @p450)) % 0.44/0.91 (step @p453 :rule cong :premises (@p452) :args (@t34)) % 0.44/0.91 (step @p454 :rule trans :premises (@p453 @p437)) % 0.44/0.91 (step @p455 :rule eq_resolve :premises (@p8 @p454)) % 0.44/0.91 (step @p456 :rule refl :args ((tptp.member_Secrecy_KS @t12 @t679))) % 0.44/0.91 (step @p457 :rule refl :args (@t749)) % 0.44/0.91 (step @p458 :rule refl :args (@t750)) % 0.44/0.91 (step @p459 :rule cong :premises (@p458 @p457) :args (@t751)) % 0.44/0.91 (step @p460 :rule trans :premises (@p459 @p456)) % 0.44/0.91 (step @p461 :rule refl :args (tptp.member_Secrecy_KS)) % 0.44/0.91 (step @p462 :rule ho_cong :premises (@p461 @p458)) % 0.44/0.91 (step @p463 :rule ho_cong :premises (@p462 @p457)) % 0.44/0.91 (step @p464 :rule cong :premises (@p463 @p460) :args ((= (_ @t752 @t749) @t751))) % 0.44/0.91 (step @p465 :rule symm :premises (@p464)) % 0.44/0.91 (step @p466 :rule refl :args ((_ @t753 @t679))) % 0.44/0.91 (step @p467 :rule eq_resolve :premises (@p466 @p465)) % 0.44/0.91 (step @p468 :rule refl :args (@t679)) % 0.44/0.91 (step @p469 :rule cong :premises (@p468 @p457) :args ((= @t679 @t749))) % 0.44/0.91 (step @p470 :rule symm :premises (@p469)) % 0.44/0.91 (step @p471 :rule eq_resolve :premises (@p468 @p470)) % 0.44/0.91 (step @p472 :rule refl :args (@t12)) % 0.44/0.91 (step @p473 :rule cong :premises (@p472 @p458) :args ((= @t12 @t750))) % 0.44/0.91 (step @p474 :rule symm :premises (@p473)) % 0.44/0.91 (step @p475 :rule eq_resolve :premises (@p472 @p474)) % 0.44/0.91 (step @p476 :rule refl :args (tptp.member_Secrecy_KS)) % 0.44/0.91 (step @p477 :rule ho_cong :premises (@p476 @p475)) % 0.44/0.91 (step @p478 :rule ho_cong :premises (@p477 @p471)) % 0.44/0.91 (step @p479 :rule trans :premises (@p478 @p467)) % 0.44/0.91 (step @p480 :rule refl :args (@t679)) % 0.44/0.91 (step @p481 :rule ho_cong :premises (@p476 @p7)) % 0.44/0.91 (step @p482 :rule ho_cong :premises (@p481 @p480)) % 0.44/0.91 (step @p483 :rule bool-double-not-elim :args (@t680)) % 0.44/0.91 (step @p484 :rule trans :premises (@p483 @p482 @p479)) % 0.44/0.91 (step @p485 :rule eq_resolve :premises (@p336 @p484)) % 0.44/0.91 (step @p486 :rule eq-symm :args (@t754 @t756)) % 0.44/0.91 (step @p487 :rule refl :args ((tptp.insert1671894227specID tptp.p @t7))) % 0.44/0.91 (step @p488 :rule refl :args (@t755)) % 0.44/0.91 (step @p489 :rule refl :args (tptp.p)) % 0.44/0.91 (step @p490 :rule cong :premises (@p489 @p488) :args (@t756)) % 0.44/0.91 (step @p491 :rule trans :premises (@p490 @p487)) % 0.44/0.91 (step @p492 :rule refl :args (@t8)) % 0.44/0.91 (step @p493 :rule ho_cong :premises (@p492 @p488)) % 0.44/0.91 (step @p494 :rule cong :premises (@p493 @p491) :args ((= (_ @t8 @t755) @t756))) % 0.44/0.91 (step @p495 :rule symm :premises (@p494)) % 0.44/0.91 (step @p496 :rule refl :args (@t9)) % 0.44/0.91 (step @p497 :rule eq_resolve :premises (@p496 @p495)) % 0.44/0.91 (step @p498 :rule refl :args (@t7)) % 0.44/0.91 (step @p499 :rule cong :premises (@p498 @p488) :args ((= @t7 @t755))) % 0.44/0.91 (step @p500 :rule symm :premises (@p499)) % 0.44/0.91 (step @p501 :rule eq_resolve :premises (@p498 @p500)) % 0.44/0.91 (step @p502 :rule refl :args (@t8)) % 0.44/0.91 (step @p503 :rule ho_cong :premises (@p502 @p501)) % 0.44/0.91 (step @p504 :rule trans :premises (@p503 @p497)) % 0.44/0.91 (step @p505 :rule refl :args (@t754)) % 0.44/0.91 (step @p506 :rule refl :args (@t10)) % 0.44/0.91 (step @p507 :rule cong :premises (@p506 @p505) :args ((= @t10 @t754))) % 0.44/0.91 (step @p508 :rule symm :premises (@p507)) % 0.44/0.91 (step @p509 :rule eq_resolve :premises (@p506 @p508)) % 0.44/0.91 (step @p510 :rule cong :premises (@p509 @p504) :args (@t11)) % 0.44/0.91 (step @p511 :rule trans :premises (@p510 @p486)) % 0.44/0.91 (step @p512 :rule eq_resolve :premises (@p4 @p511)) % 0.44/0.91 (step @p513 :rule refl :args (@t757)) % 0.44/0.91 (step @p514 :rule refl :args (@t1)) % 0.44/0.92 (step @p515 :rule cong :premises (@p514 @p513) :args ((= @t1 @t757))) % 0.44/0.92 (step @p516 :rule symm :premises (@p515)) % 0.44/0.92 (step @p517 :rule eq_resolve :premises (@p514 @p516)) % 0.44/0.92 (step @p518 :rule eq_resolve :premises (@p1 @p517)) % 0.44/0.92 (step @p519 :rule refl :args ((tptp.member_Secrecy_KS @t12 @t5))) % 0.44/0.92 (step @p520 :rule refl :args (@t758)) % 0.44/0.92 (step @p521 :rule cong :premises (@p458 @p520) :args (@t759)) % 0.44/0.92 (step @p522 :rule trans :premises (@p521 @p519)) % 0.44/0.92 (step @p523 :rule ho_cong :premises (@p462 @p520)) % 0.44/0.92 (step @p524 :rule cong :premises (@p523 @p522) :args ((= (_ @t752 @t758) @t759))) % 0.44/0.92 (step @p525 :rule symm :premises (@p524)) % 0.44/0.92 (step @p526 :rule refl :args (@t760)) % 0.44/0.92 (step @p527 :rule eq_resolve :premises (@p526 @p525)) % 0.44/0.92 (step @p528 :rule refl :args (@t5)) % 0.44/0.92 (step @p529 :rule cong :premises (@p528 @p520) :args ((= @t5 @t758))) % 0.44/0.92 (step @p530 :rule symm :premises (@p529)) % 0.44/0.92 (step @p531 :rule eq_resolve :premises (@p528 @p530)) % 0.44/0.92 (step @p532 :rule ho_cong :premises (@p477 @p531)) % 0.44/0.92 (step @p533 :rule trans :premises (@p532 @p527)) % 0.44/0.92 (step @p534 :rule cong :premises (@p533) :args ((not @t760))) % 0.44/0.92 (step @p535 :rule refl :args (@t5)) % 0.44/0.92 (step @p536 :rule ho_cong :premises (@p481 @p535)) % 0.44/0.92 (step @p537 :rule cong :premises (@p536) :args (@t6)) % 0.44/0.92 (step @p538 :rule trans :premises (@p537 @p534)) % 0.44/0.92 (step @p539 :rule eq_resolve :premises (@p3 @p538)) % 0.44/0.92 (step @p540 :rule refl :args ((tptp.member_Secrecy_KS @t12 @t2))) % 0.44/0.92 (step @p541 :rule refl :args (@t761)) % 0.44/0.92 (step @p542 :rule cong :premises (@p458 @p541) :args (@t762)) % 0.44/0.92 (step @p543 :rule trans :premises (@p542 @p540)) % 0.44/0.92 (step @p544 :rule ho_cong :premises (@p462 @p541)) % 0.44/0.92 (step @p545 :rule cong :premises (@p544 @p543) :args ((= (_ @t752 @t761) @t762))) % 0.44/0.92 (step @p546 :rule symm :premises (@p545)) % 0.44/0.92 (step @p547 :rule refl :args (@t763)) % 0.44/0.92 (step @p548 :rule eq_resolve :premises (@p547 @p546)) % 0.44/0.92 (step @p549 :rule refl :args (@t2)) % 0.44/0.92 (step @p550 :rule cong :premises (@p549 @p541) :args ((= @t2 @t761))) % 0.44/0.92 (step @p551 :rule symm :premises (@p550)) % 0.44/0.92 (step @p552 :rule eq_resolve :premises (@p549 @p551)) % 0.44/0.92 (step @p553 :rule ho_cong :premises (@p477 @p552)) % 0.44/0.92 (step @p554 :rule trans :premises (@p553 @p548)) % 0.44/0.92 (step @p555 :rule cong :premises (@p554) :args ((not @t763))) % 0.44/0.92 (step @p556 :rule refl :args (@t2)) % 0.44/0.92 (step @p557 :rule ho_cong :premises (@p481 @p556)) % 0.44/0.92 (step @p558 :rule cong :premises (@p557) :args (@t4)) % 0.44/0.92 (step @p559 :rule trans :premises (@p558 @p555)) % 0.44/0.92 (step @p560 :rule eq_resolve :premises (@p2 @p559)) % 0.44/0.92 (step @p561 :rule cnf_or_pos :args (@t768)) % 0.44/0.92 (step @p562 :rule reordering :premises (@p561) :args ((or @t762 @t759 @t765 @t767 @t764 @t769))) % 0.44/0.92 (step @p563 :rule chain_m_resolution :premises (@p562 @p560 @p539 @p518 @p512 @p485) :args (@t769 (@list true true false false false) (@list @t762 @t759 @t757 @t766 @t751))) % 0.44/0.92 (step @p564 :rule refl :args (@t762)) % 0.44/0.92 (step @p565 :rule refl :args (@t759)) % 0.44/0.92 (step @p566 :rule refl :args (@t764)) % 0.44/0.92 (step @p567 :rule refl :args (@t765)) % 0.44/0.92 (step @p568 :rule cong :premises (@p486) :args (@t770)) % 0.44/0.92 (step @p569 :rule nary_cong :premises (@p568 @p567 @p566 @p565 @p564) :args (@t771)) % 0.44/0.92 (step @p570 :rule refl :args (@t772)) % 0.44/0.92 (step @p571 :rule cong :premises (@p570 @p569) :args ((=> @t772 @t771))) % 0.44/0.92 (assume-push @p579 @t772) % 0.44/0.92 (step @p573 :rule instantiate :premises (@p455) :args ((@list tptp.pq tptp.p tptp.q @t750))) % 0.44/0.92 (step-pop @p580 :rule scope :premises (@p573)) % 0.44/0.92 (step @p574 :rule process_scope :premises (@p580) :args (@t771)) % 0.44/0.92 (step @p576 :rule eq_resolve :premises (@p574 @p571)) % 0.44/0.92 (step @p577 :rule implies_elim :premises (@p576)) % 0.44/0.92 (step @p578 false :rule chain_m_resolution :premises (@p577 @p563 @p455) :args (false (@list true false) (@list @t768 @t772))) % 0.44/0.92 ) % 0.44/0.92 % SZS output end Proof % 0.44/0.92 % cvc5 exiting %------------------------------------------------------------------------------