%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP091^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % Computer : n007.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 0.47s 0.95s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP091^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.16/0.34 % Computer : n007.cluster.edu % 0.16/0.34 % Model : x86_64 x86_64 % 0.16/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.34 % Memory : 8042.1875MB % 0.16/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.34 % CPULimit : 300 % 0.16/0.34 % WCLimit : 300 % 0.16/0.34 % DateTime : Tue Jun 2 04:13:11 EDT 2026 % 0.16/0.34 % CPUTime : % 0.38/0.63 %----Proving TH0 % 0.47/0.95 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/0.95 % SZS status Theorem % 0.47/0.95 % SZS output start Proof % 0.47/0.95 ( % 0.47/0.95 (declare-sort tptp.secrecy_specID 0) % 0.47/0.95 (declare-sort tptp.set_Secrecy_Secrets 0) % 0.47/0.95 (declare-sort tptp.set_Secrecy_chanID 0) % 0.47/0.95 (declare-sort tptp.set_Secrecy_Keys 0) % 0.47/0.95 (declare-sort tptp.set_Secrecy_specID 0) % 0.47/0.95 (declare-sort tptp.set_Secrecy_KS 0) % 0.47/0.95 (declare-sort tptp.secrecy_KS 0) % 0.47/0.95 (declare-sort tptp.secrecy_Expression 0) % 0.47/0.95 (declare-sort tptp.secrecy_Keys 0) % 0.47/0.95 (declare-sort tptp.secrecy_chanID 0) % 0.47/0.95 (declare-sort tptp.secrecy_Secrets 0) % 0.47/0.95 (declare-sort tptp.nat 0) % 0.47/0.95 (declare-sort tptp.list_S529945141ession 0) % 0.47/0.95 (declare-const tptp.bot_bo1785112429specID tptp.set_Secrecy_specID) % 0.47/0.95 (declare-const tptp.the_el827131246specID (-> tptp.set_Secrecy_specID tptp.secrecy_specID)) % 0.47/0.95 (declare-const tptp.insert1671894227specID (-> tptp.secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.47/0.95 (declare-const tptp.bot_bo443197316chanID tptp.set_Secrecy_chanID) % 0.47/0.95 (declare-const tptp.insert751661162chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.47/0.95 (declare-const tptp.the_el2054381829chanID (-> tptp.set_Secrecy_chanID tptp.secrecy_chanID)) % 0.47/0.95 (declare-const tptp.exprChannel (-> tptp.secrecy_chanID tptp.secrecy_Expression Bool)) % 0.47/0.95 (declare-const tptp.ins (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.47/0.95 (declare-const tptp.member1967978193chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID Bool)) % 0.47/0.95 (declare-const tptp.loc (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.47/0.95 (declare-const tptp.bot_bo1943466239ecy_KS tptp.set_Secrecy_KS) % 0.47/0.95 (declare-const tptp.member_Secrecy_KS (-> tptp.secrecy_KS tptp.set_Secrecy_KS Bool)) % 0.47/0.95 (declare-const tptp.bot_bo701486667y_Keys tptp.set_Secrecy_Keys) % 0.47/0.95 (declare-const tptp.member_Secrecy_Keys (-> tptp.secrecy_Keys tptp.set_Secrecy_Keys Bool)) % 0.47/0.95 (declare-const tptp.bot_bo1124690338ecrets tptp.set_Secrecy_Secrets) % 0.47/0.95 (declare-const tptp.member2138796287ecrets (-> tptp.secrecy_Secrets tptp.set_Secrecy_Secrets Bool)) % 0.47/0.95 (declare-const tptp.member740727610specID (-> tptp.secrecy_specID tptp.set_Secrecy_specID Bool)) % 0.47/0.95 (declare-const tptp.specKeysSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.47/0.95 (declare-const tptp.secrecy_sKS (-> tptp.secrecy_Secrets tptp.secrecy_KS)) % 0.47/0.95 (declare-const tptp.secrecy_sE (-> tptp.secrecy_Secrets tptp.secrecy_Expression)) % 0.47/0.95 (declare-const tptp.mem_Se1967555118ession (-> tptp.secrecy_Expression tptp.list_S529945141ession Bool)) % 0.47/0.95 (declare-const tptp.secrecy_kKS (-> tptp.secrecy_Keys tptp.secrecy_KS)) % 0.47/0.95 (declare-const tptp.secrecy_kE (-> tptp.secrecy_Keys tptp.secrecy_Expression)) % 0.47/0.95 (declare-const tptp.out (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.47/0.95 (declare-const tptp.knowle233900195orrect (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.47/0.95 (declare-const tptp.specKeys (-> tptp.secrecy_specID tptp.set_Secrecy_Keys)) % 0.47/0.95 (declare-const tptp.correc990227761ionOut (-> tptp.secrecy_specID Bool)) % 0.47/0.95 (declare-const tptp.sup_su370684444chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.47/0.95 (declare-const tptp.sup_su1712599557specID (-> tptp.set_Secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.47/0.95 (declare-const tptp.correctCompositionKS (-> tptp.secrecy_specID Bool)) % 0.47/0.95 (declare-const tptp.insert_Secrecy_Keys (-> tptp.secrecy_Keys tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys)) % 0.47/0.95 (declare-const tptp.sup_su1301156759ecy_KS (-> tptp.set_Secrecy_KS tptp.set_Secrecy_KS tptp.set_Secrecy_KS)) % 0.47/0.95 (declare-const tptp.p tptp.secrecy_specID) % 0.47/0.95 (declare-const tptp.sup_su1029080330ecrets (-> tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets)) % 0.47/0.95 (declare-const tptp.secret tptp.secrecy_Secrets) % 0.47/0.95 (declare-const tptp.collec836099393ecrets (-> (-> tptp.secrecy_Secrets Bool) tptp.set_Secrecy_Secrets)) % 0.47/0.95 (declare-const tptp.collect_Secrecy_KS (-> (-> tptp.secrecy_KS Bool) tptp.set_Secrecy_KS)) % 0.47/0.95 (declare-const tptp.pq tptp.secrecy_specID) % 0.47/0.95 (declare-const tptp.insert_Secrecy_KS (-> tptp.secrecy_KS tptp.set_Secrecy_KS tptp.set_Secrecy_KS)) % 0.47/0.95 (declare-const tptp.correc965049635ionLoc (-> tptp.secrecy_specID Bool)) % 0.47/0.95 (declare-const tptp.knowle945212990e_know (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.47/0.95 (declare-const tptp.specSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_Secrets)) % 0.47/0.95 (declare-const tptp.subcomponents (-> tptp.secrecy_specID tptp.set_Secrecy_specID)) % 0.47/0.95 (declare-const tptp.sup_su552545507y_Keys (-> tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys)) % 0.47/0.95 (declare-const tptp.q tptp.secrecy_specID) % 0.47/0.95 (declare-const tptp.collec625564175chanID (-> (-> tptp.secrecy_chanID Bool) tptp.set_Secrecy_chanID)) % 0.47/0.95 (declare-const tptp.collect_Secrecy_Keys (-> (-> tptp.secrecy_Keys Bool) tptp.set_Secrecy_Keys)) % 0.47/0.95 (declare-const tptp.m tptp.secrecy_KS) % 0.47/0.95 (declare-const tptp.insert565337510ecrets (-> tptp.secrecy_Secrets tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets)) % 0.47/0.95 (declare-const tptp.collec1545797240specID (-> (-> tptp.secrecy_specID Bool) tptp.set_Secrecy_specID)) % 0.47/0.95 (declare-const tptp.localSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.47/0.95 (declare-const tptp.secrec1016742679ession (-> tptp.secrecy_KS tptp.secrecy_Expression)) % 0.47/0.95 (declare-const tptp.is_sin1442426433ecy_KS (-> tptp.set_Secrecy_KS Bool)) % 0.47/0.95 (declare-const tptp.ord_le1802272080chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID Bool)) % 0.47/0.95 (declare-const tptp.is_sin1096471309y_Keys (-> tptp.set_Secrecy_Keys Bool)) % 0.47/0.95 (declare-const tptp.is_sin1002224330ecrets (-> tptp.set_Secrecy_Secrets Bool)) % 0.47/0.95 (declare-const tptp.correctCompositionIn (-> tptp.secrecy_specID Bool)) % 0.47/0.95 (define tptp.is_sin1501507247specID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_specID))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert1671894227specID (_ tptp.the_el827131246specID _let_1)) tptp.bot_bo1785112429specID))))) % 0.47/0.95 (define tptp.is_sin581274182chanID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_chanID))) (lambda (@list _let_1) (= _let_1 (_ (_ tptp.insert751661162chanID (_ tptp.the_el2054381829chanID _let_1)) tptp.bot_bo443197316chanID))))) % 0.47/0.95 (define tptp.is_emp1849217361specID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_specID))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo1785112429specID)))) % 0.47/0.95 (define tptp.is_emp928984296chanID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_chanID))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo443197316chanID)))) % 0.47/0.95 (define tptp.ine_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X4" 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))))))))))))))) % 0.47/0.95 (define tptp.ine () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" 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)))))))) % 0.47/0.95 (define tptp.ineM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" tptp.secrecy_chanID))) (let ((_let_3 (@var "M4" 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)))))))))) % 0.47/0.95 (define tptp.ine_ex1303305700Single () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X4" tptp.secrecy_chanID))) (let ((_let_3 (@var "Ch3" 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)))))))))))) % 0.47/0.95 (define tptp.locStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X4" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y4" 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))))))) % 0.47/0.95 (define tptp.inStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X4" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y4" 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))))))) % 0.47/0.95 (define tptp.bot_bot_Secrecy_KS_o () (let ((_let_1 (@var "X4" tptp.secrecy_KS))) (lambda (@list _let_1) (_ (_ tptp.member_Secrecy_KS _let_1) tptp.bot_bo1943466239ecy_KS)))) % 0.47/0.95 (define tptp.bot_bo2072920570Keys_o () (let ((_let_1 (@var "X4" tptp.secrecy_Keys))) (lambda (@list _let_1) (_ (_ tptp.member_Secrecy_Keys _let_1) tptp.bot_bo701486667y_Keys)))) % 0.47/0.95 (define tptp.bot_bo1909946299rets_o () (let ((_let_1 (@var "X4" tptp.secrecy_Secrets))) (lambda (@list _let_1) (_ (_ tptp.member2138796287ecrets _let_1) tptp.bot_bo1124690338ecrets)))) % 0.47/0.95 (define tptp.bot_bo1767780696ecID_o () (let ((_let_1 (@var "X4" tptp.secrecy_specID))) (lambda (@list _let_1) (_ (_ tptp.member740727610specID _let_1) tptp.bot_bo1785112429specID)))) % 0.47/0.95 (define tptp.bot_bo1012329985anID_o () (let ((_let_1 (@var "X4" tptp.secrecy_chanID))) (lambda (@list _let_1) (_ (_ tptp.member1967978193chanID _let_1) tptp.bot_bo443197316chanID)))) % 0.47/0.95 (define tptp.notSpe1586871396tsExpr () (let ((_let_1 (@var "P2" tptp.secrecy_specID))) (let ((_let_2 (_ tptp.specKeysSecrets _let_1))) (let ((_let_3 (@var "Y5" tptp.secrecy_Secrets))) (let ((_let_4 (@var "E3" tptp.list_S529945141ession))) (let ((_let_5 (@var "X4" 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)))))))))))) % 0.47/0.95 (define tptp.eout () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" 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)))))))) % 0.47/0.95 (define tptp.eoutM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" tptp.secrecy_chanID))) (let ((_let_3 (@var "M4" 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)))))))))) % 0.47/0.95 (define tptp.out_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X4" 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))))))))))))))) % 0.47/0.95 (define tptp.out_ex985543062Single () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X4" tptp.secrecy_chanID))) (let ((_let_3 (@var "Ch3" 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)))))))))))) % 0.47/0.95 (define tptp.outStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X4" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y4" tptp.set_Secrecy_chanID))) (lambda (@list _let_2 _let_1) (_ (_ (lambda (@list _let_4 _let_3) (= _let_4 _let_3)) (_ tptp.out _let_2)) _let_1))))))) % 0.47/0.95 (define @t1 () (_ tptp.knowle945212990e_know tptp.q)) % 0.47/0.95 (define @t2 () (not (_ @t1 tptp.m))) % 0.47/0.95 (define @t3 () (_ tptp.secrecy_sKS tptp.secret)) % 0.47/0.95 (define @t4 () (_ tptp.member_Secrecy_KS @t3)) % 0.47/0.95 (define @t5 () (@var "Y2" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t6 () (@var "X2" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t7 () (= @t6 @t5)) % 0.47/0.95 (define @t8 () (_ tptp.secrecy_sKS @t6)) % 0.47/0.95 (define @t9 () (@list @t6 @t5)) % 0.47/0.95 (define @t10 () (_ tptp.secrecy_sE tptp.secret)) % 0.47/0.95 (define @t11 () (@var "A" tptp.secrecy_specID)) % 0.47/0.95 (define @t12 () (_ tptp.localSecrets @t11)) % 0.47/0.95 (define @t13 () (@var "M" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t14 () (_ tptp.secrecy_sKS @t13)) % 0.47/0.95 (define @t15 () (_ tptp.member_Secrecy_KS @t14)) % 0.47/0.95 (define @t16 () (_ @t15 @t12)) % 0.47/0.95 (define @t17 () (_ tptp.secrecy_sE @t13)) % 0.47/0.95 (define @t18 () (_ tptp.ine @t11)) % 0.47/0.95 (define @t19 () (_ @t18 @t17)) % 0.47/0.95 (define @t20 () (or @t19 @t16)) % 0.47/0.95 (define @t21 () (_ tptp.knowle945212990e_know @t11)) % 0.47/0.95 (define @t22 () (_ @t21 @t14)) % 0.47/0.95 (define @t23 () (= @t22 @t20)) % 0.47/0.95 (define @t24 () (@list @t11 @t13)) % 0.47/0.95 (define @t25 () (forall @t24 @t23)) % 0.47/0.95 (define @t26 () (@var "X1" tptp.secrecy_Keys)) % 0.47/0.95 (define @t27 () (_ tptp.secrecy_kKS @t26)) % 0.47/0.95 (define @t28 () (@list @t26 @t6)) % 0.47/0.95 (define @t29 () (@var "KS" tptp.secrecy_KS)) % 0.47/0.95 (define @t30 () (@var "P" (-> tptp.secrecy_KS Bool))) % 0.47/0.95 (define @t31 () (@var "X" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t32 () (@var "X" tptp.secrecy_Keys)) % 0.47/0.95 (define @t33 () (@var "Y1" tptp.secrecy_Keys)) % 0.47/0.95 (define @t34 () (= @t26 @t33)) % 0.47/0.95 (define @t35 () (@list @t26 @t33)) % 0.47/0.95 (define @t36 () (_ tptp.secrecy_sE @t6)) % 0.47/0.95 (define @t37 () (@var "M" tptp.secrecy_KS)) % 0.47/0.95 (define @t38 () (@var "PQ" tptp.secrecy_specID)) % 0.47/0.95 (define @t39 () (_ (_ tptp.knowle945212990e_know @t38) @t37)) % 0.47/0.95 (define @t40 () (_ tptp.correctCompositionIn @t38)) % 0.47/0.95 (define @t41 () (_ tptp.correc965049635ionLoc @t38)) % 0.47/0.95 (define @t42 () (@var "Q" tptp.secrecy_specID)) % 0.47/0.95 (define @t43 () (@var "P" tptp.secrecy_specID)) % 0.47/0.95 (define @t44 () (= (_ tptp.subcomponents @t38) (_ (_ tptp.insert1671894227specID @t43) (_ (_ tptp.insert1671894227specID @t42) tptp.bot_bo1785112429specID)))) % 0.47/0.95 (define @t45 () (_ tptp.knowle945212990e_know @t42)) % 0.47/0.95 (define @t46 () (_ @t45 @t37)) % 0.47/0.95 (define @t47 () (_ tptp.knowle945212990e_know @t43)) % 0.47/0.95 (define @t48 () (_ @t47 @t37)) % 0.47/0.95 (define @t49 () (@var "Secret" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t50 () (_ tptp.secrecy_sE @t49)) % 0.47/0.95 (define @t51 () (_ tptp.ine @t38)) % 0.47/0.95 (define @t52 () (_ tptp.secrecy_sKS @t49)) % 0.47/0.95 (define @t53 () (not @t22)) % 0.47/0.95 (define @t54 () (@var "X22" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t55 () (@var "Y" tptp.secrecy_KS)) % 0.47/0.95 (define @t56 () (@var "X12" tptp.secrecy_Keys)) % 0.47/0.95 (define @t57 () (@var "S" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t58 () (_ tptp.secrecy_sE @t57)) % 0.47/0.95 (define @t59 () (_ tptp.ine @t43)) % 0.47/0.95 (define @t60 () (_ @t59 @t58)) % 0.47/0.95 (define @t61 () (_ tptp.localSecrets @t42)) % 0.47/0.95 (define @t62 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t57))) % 0.47/0.95 (define @t63 () (not (_ @t62 @t61))) % 0.47/0.95 (define @t64 () (_ tptp.localSecrets @t43)) % 0.47/0.95 (define @t65 () (not (_ @t62 @t64))) % 0.47/0.95 (define @t66 () (_ tptp.ine @t42)) % 0.47/0.95 (define @t67 () (_ @t66 @t58)) % 0.47/0.95 (define @t68 () (not @t67)) % 0.47/0.95 (define @t69 () (_ tptp.localSecrets @t38)) % 0.47/0.95 (define @t70 () (_ @t62 @t69)) % 0.47/0.95 (define @t71 () (@list @t57 @t38 @t43 @t42)) % 0.47/0.95 (define @t72 () (not @t60)) % 0.47/0.95 (define @t73 () (@var "E" tptp.secrecy_Expression)) % 0.47/0.95 (define @t74 () (_ @t66 @t73)) % 0.47/0.95 (define @t75 () (_ @t59 @t73)) % 0.47/0.95 (define @t76 () (or @t75 @t74)) % 0.47/0.95 (define @t77 () (_ @t51 @t73)) % 0.47/0.95 (define @t78 () (@list @t38 @t73 @t43 @t42)) % 0.47/0.95 (define @t79 () (not @t77)) % 0.47/0.95 (define @t80 () (not @t74)) % 0.47/0.95 (define @t81 () (not @t75)) % 0.47/0.95 (define @t82 () (@list @t43 @t73 @t42 @t38)) % 0.47/0.95 (define @t83 () (@var "A2" tptp.secrecy_KS)) % 0.47/0.95 (define @t84 () (_ tptp.insert_Secrecy_KS @t83)) % 0.47/0.95 (define @t85 () (_ @t84 tptp.bot_bo1943466239ecy_KS)) % 0.47/0.95 (define @t86 () (_ tptp.member_Secrecy_KS @t83)) % 0.47/0.95 (define @t87 () (@list @t83)) % 0.47/0.95 (define @t88 () (@var "A2" tptp.secrecy_Keys)) % 0.47/0.95 (define @t89 () (_ tptp.insert_Secrecy_Keys @t88)) % 0.47/0.95 (define @t90 () (_ @t89 tptp.bot_bo701486667y_Keys)) % 0.47/0.95 (define @t91 () (_ tptp.member_Secrecy_Keys @t88)) % 0.47/0.95 (define @t92 () (@list @t88)) % 0.47/0.95 (define @t93 () (@var "A2" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t94 () (_ tptp.insert565337510ecrets @t93)) % 0.47/0.95 (define @t95 () (_ @t94 tptp.bot_bo1124690338ecrets)) % 0.47/0.95 (define @t96 () (_ tptp.member2138796287ecrets @t93)) % 0.47/0.95 (define @t97 () (@list @t93)) % 0.47/0.95 (define @t98 () (@var "A2" tptp.secrecy_specID)) % 0.47/0.95 (define @t99 () (_ tptp.insert1671894227specID @t98)) % 0.47/0.95 (define @t100 () (_ @t99 tptp.bot_bo1785112429specID)) % 0.47/0.95 (define @t101 () (_ tptp.member740727610specID @t98)) % 0.47/0.95 (define @t102 () (@list @t98)) % 0.47/0.95 (define @t103 () (@var "A2" tptp.secrecy_chanID)) % 0.47/0.95 (define @t104 () (_ tptp.insert751661162chanID @t103)) % 0.47/0.95 (define @t105 () (_ @t104 tptp.bot_bo443197316chanID)) % 0.47/0.95 (define @t106 () (_ tptp.member1967978193chanID @t103)) % 0.47/0.95 (define @t107 () (@list @t103)) % 0.47/0.95 (define @t108 () (@var "Ls" tptp.secrecy_KS)) % 0.47/0.95 (define @t109 () (_ tptp.member_Secrecy_KS @t108)) % 0.47/0.95 (define @t110 () (@var "B" tptp.set_Secrecy_KS)) % 0.47/0.95 (define @t111 () (@var "B2" tptp.secrecy_KS)) % 0.47/0.95 (define @t112 () (_ tptp.insert_Secrecy_KS @t111)) % 0.47/0.95 (define @t113 () (_ @t112 @t110)) % 0.47/0.95 (define @t114 () (_ @t86 @t113)) % 0.47/0.95 (define @t115 () (= @t83 @t111)) % 0.47/0.95 (define @t116 () (_ @t86 @t110)) % 0.47/0.95 (define @t117 () (@list @t83 @t110 @t111)) % 0.47/0.95 (define @t118 () (@var "B" tptp.set_Secrecy_chanID)) % 0.47/0.95 (define @t119 () (@var "B2" tptp.secrecy_chanID)) % 0.47/0.95 (define @t120 () (_ tptp.insert751661162chanID @t119)) % 0.47/0.95 (define @t121 () (_ @t120 @t118)) % 0.47/0.95 (define @t122 () (_ @t106 @t121)) % 0.47/0.95 (define @t123 () (= @t103 @t119)) % 0.47/0.95 (define @t124 () (_ @t106 @t118)) % 0.47/0.95 (define @t125 () (@list @t103 @t118 @t119)) % 0.47/0.95 (define @t126 () (@var "B" tptp.set_Secrecy_specID)) % 0.47/0.95 (define @t127 () (@var "B2" tptp.secrecy_specID)) % 0.47/0.95 (define @t128 () (_ tptp.insert1671894227specID @t127)) % 0.47/0.95 (define @t129 () (_ @t128 @t126)) % 0.47/0.95 (define @t130 () (_ @t101 @t129)) % 0.47/0.95 (define @t131 () (= @t98 @t127)) % 0.47/0.95 (define @t132 () (_ @t101 @t126)) % 0.47/0.95 (define @t133 () (@list @t98 @t126 @t127)) % 0.47/0.95 (define @t134 () (@var "B" tptp.set_Secrecy_Keys)) % 0.47/0.95 (define @t135 () (@var "B2" tptp.secrecy_Keys)) % 0.47/0.95 (define @t136 () (_ tptp.insert_Secrecy_Keys @t135)) % 0.47/0.95 (define @t137 () (_ @t136 @t134)) % 0.47/0.95 (define @t138 () (_ @t91 @t137)) % 0.47/0.95 (define @t139 () (= @t88 @t135)) % 0.47/0.95 (define @t140 () (_ @t91 @t134)) % 0.47/0.95 (define @t141 () (@list @t88 @t134 @t135)) % 0.47/0.95 (define @t142 () (@var "B" tptp.set_Secrecy_Secrets)) % 0.47/0.95 (define @t143 () (@var "B2" tptp.secrecy_Secrets)) % 0.47/0.95 (define @t144 () (_ tptp.insert565337510ecrets @t143)) % 0.47/0.95 (define @t145 () (_ @t144 @t142)) % 0.47/0.95 (define @t146 () (_ @t96 @t145)) % 0.47/0.95 (define @t147 () (= @t93 @t143)) % 0.47/0.95 (define @t148 () (_ @t96 @t142)) % 0.47/0.95 (define @t149 () (@list @t93 @t142 @t143)) % 0.47/0.95 (define @t150 () (@var "A" tptp.set_Secrecy_KS)) % 0.47/0.95 (define @t151 () (_ @t86 @t150)) % 0.47/0.96 (define @t152 () (_ @t86 (_ @t112 @t150))) % 0.47/0.96 (define @t153 () (@list @t83 @t111 @t150)) % 0.47/0.96 (define @t154 () (@var "A" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t155 () (_ @t106 @t154)) % 0.47/0.96 (define @t156 () (_ @t106 (_ @t120 @t154))) % 0.47/0.96 (define @t157 () (@list @t103 @t119 @t154)) % 0.47/0.96 (define @t158 () (@var "A" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t159 () (_ @t101 @t158)) % 0.47/0.96 (define @t160 () (_ @t101 (_ @t128 @t158))) % 0.47/0.96 (define @t161 () (@list @t98 @t127 @t158)) % 0.47/0.96 (define @t162 () (@var "A" tptp.set_Secrecy_Keys)) % 0.47/0.96 (define @t163 () (_ @t91 @t162)) % 0.47/0.96 (define @t164 () (_ @t91 (_ @t136 @t162))) % 0.47/0.96 (define @t165 () (@list @t88 @t135 @t162)) % 0.47/0.96 (define @t166 () (@var "A" tptp.set_Secrecy_Secrets)) % 0.47/0.96 (define @t167 () (_ @t96 @t166)) % 0.47/0.96 (define @t168 () (_ @t96 (_ @t144 @t166))) % 0.47/0.96 (define @t169 () (@list @t93 @t143 @t166)) % 0.47/0.96 (define @t170 () (@var "X3" tptp.secrecy_specID)) % 0.47/0.96 (define @t171 () (_ tptp.insert1671894227specID @t170)) % 0.47/0.96 (define @t172 () (_ @t171 @t158)) % 0.47/0.96 (define @t173 () (@list @t170 @t158)) % 0.47/0.96 (define @t174 () (@var "X3" tptp.secrecy_chanID)) % 0.47/0.96 (define @t175 () (_ tptp.insert751661162chanID @t174)) % 0.47/0.96 (define @t176 () (_ @t175 @t154)) % 0.47/0.96 (define @t177 () (@list @t174 @t154)) % 0.47/0.96 (define @t178 () (@var "X4" tptp.secrecy_specID)) % 0.47/0.96 (define @t179 () (@var "P" (-> tptp.secrecy_specID Bool))) % 0.47/0.96 (define @t180 () (@list @t178)) % 0.47/0.96 (define @t181 () (forall @t180 (not (_ @t179 @t178)))) % 0.47/0.96 (define @t182 () (_ tptp.collec1545797240specID @t179)) % 0.47/0.96 (define @t183 () (@list @t179)) % 0.47/0.96 (define @t184 () (@var "X4" tptp.secrecy_chanID)) % 0.47/0.96 (define @t185 () (@var "P" (-> tptp.secrecy_chanID Bool))) % 0.47/0.96 (define @t186 () (_ @t185 @t184)) % 0.47/0.96 (define @t187 () (@list @t184)) % 0.47/0.96 (define @t188 () (forall @t187 (not @t186))) % 0.47/0.96 (define @t189 () (_ tptp.collec625564175chanID @t185)) % 0.47/0.96 (define @t190 () (@list @t185)) % 0.47/0.96 (define @t191 () (= @t182 tptp.bot_bo1785112429specID)) % 0.47/0.96 (define @t192 () (= @t189 tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t193 () (= @t150 tptp.bot_bo1943466239ecy_KS)) % 0.47/0.96 (define @t194 () (@var "X4" tptp.secrecy_KS)) % 0.47/0.96 (define @t195 () (_ tptp.member_Secrecy_KS @t194)) % 0.47/0.96 (define @t196 () (_ @t195 @t150)) % 0.47/0.96 (define @t197 () (@list @t194)) % 0.47/0.96 (define @t198 () (@list @t150)) % 0.47/0.96 (define @t199 () (= @t162 tptp.bot_bo701486667y_Keys)) % 0.47/0.96 (define @t200 () (@var "X4" tptp.secrecy_Keys)) % 0.47/0.96 (define @t201 () (_ tptp.member_Secrecy_Keys @t200)) % 0.47/0.96 (define @t202 () (_ @t201 @t162)) % 0.47/0.96 (define @t203 () (@list @t200)) % 0.47/0.96 (define @t204 () (@list @t162)) % 0.47/0.96 (define @t205 () (= @t166 tptp.bot_bo1124690338ecrets)) % 0.47/0.96 (define @t206 () (@var "X4" tptp.secrecy_Secrets)) % 0.47/0.96 (define @t207 () (_ tptp.member2138796287ecrets @t206)) % 0.47/0.96 (define @t208 () (_ @t207 @t166)) % 0.47/0.96 (define @t209 () (@list @t206)) % 0.47/0.96 (define @t210 () (@list @t166)) % 0.47/0.96 (define @t211 () (= @t158 tptp.bot_bo1785112429specID)) % 0.47/0.96 (define @t212 () (_ tptp.member740727610specID @t178)) % 0.47/0.96 (define @t213 () (_ @t212 @t158)) % 0.47/0.96 (define @t214 () (@list @t158)) % 0.47/0.96 (define @t215 () (= @t154 tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t216 () (_ tptp.member1967978193chanID @t184)) % 0.47/0.96 (define @t217 () (_ @t216 @t154)) % 0.47/0.96 (define @t218 () (@list @t154)) % 0.47/0.96 (define @t219 () (@var "C" tptp.secrecy_KS)) % 0.47/0.96 (define @t220 () (_ tptp.member_Secrecy_KS @t219)) % 0.47/0.96 (define @t221 () (@var "C" tptp.secrecy_Keys)) % 0.47/0.96 (define @t222 () (_ tptp.member_Secrecy_Keys @t221)) % 0.47/0.96 (define @t223 () (@var "C" tptp.secrecy_Secrets)) % 0.47/0.96 (define @t224 () (_ tptp.member2138796287ecrets @t223)) % 0.47/0.96 (define @t225 () (@var "C" tptp.secrecy_specID)) % 0.47/0.96 (define @t226 () (_ tptp.member740727610specID @t225)) % 0.47/0.96 (define @t227 () (@var "C" tptp.secrecy_chanID)) % 0.47/0.96 (define @t228 () (_ tptp.member1967978193chanID @t227)) % 0.47/0.96 (define @t229 () (not @t193)) % 0.47/0.96 (define @t230 () (not @t199)) % 0.47/0.96 (define @t231 () (not @t205)) % 0.47/0.96 (define @t232 () (not @t211)) % 0.47/0.96 (define @t233 () (not @t215)) % 0.47/0.96 (define @t234 () (@var "Y3" tptp.secrecy_KS)) % 0.47/0.96 (define @t235 () (_ (_ tptp.member_Secrecy_KS @t234) @t150)) % 0.47/0.96 (define @t236 () (@var "Y3" tptp.secrecy_Keys)) % 0.47/0.96 (define @t237 () (_ (_ tptp.member_Secrecy_Keys @t236) @t162)) % 0.47/0.96 (define @t238 () (@var "Y3" tptp.secrecy_Secrets)) % 0.47/0.96 (define @t239 () (_ (_ tptp.member2138796287ecrets @t238) @t166)) % 0.47/0.96 (define @t240 () (@var "Y3" tptp.secrecy_specID)) % 0.47/0.96 (define @t241 () (_ (_ tptp.member740727610specID @t240) @t158)) % 0.47/0.96 (define @t242 () (@var "Y3" tptp.secrecy_chanID)) % 0.47/0.96 (define @t243 () (_ (_ tptp.member1967978193chanID @t242) @t154)) % 0.47/0.96 (define @t244 () (not @t151)) % 0.47/0.96 (define @t245 () (not @t163)) % 0.47/0.96 (define @t246 () (not @t167)) % 0.47/0.96 (define @t247 () (not @t159)) % 0.47/0.96 (define @t248 () (not @t155)) % 0.47/0.96 (define @t249 () (@var "B3" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t250 () (@list @t249)) % 0.47/0.96 (define @t251 () (@list @t83 @t150)) % 0.47/0.96 (define @t252 () (@var "B3" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t253 () (@list @t252)) % 0.47/0.96 (define @t254 () (@list @t103 @t154)) % 0.47/0.96 (define @t255 () (@var "B3" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t256 () (@list @t255)) % 0.47/0.96 (define @t257 () (@list @t98 @t158)) % 0.47/0.96 (define @t258 () (@var "B3" tptp.set_Secrecy_Keys)) % 0.47/0.96 (define @t259 () (@list @t258)) % 0.47/0.96 (define @t260 () (@list @t88 @t162)) % 0.47/0.96 (define @t261 () (@var "B3" tptp.set_Secrecy_Secrets)) % 0.47/0.96 (define @t262 () (@list @t261)) % 0.47/0.96 (define @t263 () (@list @t93 @t166)) % 0.47/0.96 (define @t264 () (@var "Y" tptp.secrecy_specID)) % 0.47/0.96 (define @t265 () (_ tptp.insert1671894227specID @t264)) % 0.47/0.96 (define @t266 () (@var "Y" tptp.secrecy_chanID)) % 0.47/0.96 (define @t267 () (_ tptp.insert751661162chanID @t266)) % 0.47/0.96 (define @t268 () (@var "C2" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t269 () (_ tptp.member_Secrecy_KS @t111)) % 0.47/0.96 (define @t270 () (not @t115)) % 0.47/0.96 (define @t271 () (= @t150 @t110)) % 0.47/0.96 (define @t272 () (_ @t84 @t150)) % 0.47/0.96 (define @t273 () (@var "C2" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t274 () (_ tptp.member1967978193chanID @t119)) % 0.47/0.96 (define @t275 () (not @t123)) % 0.47/0.96 (define @t276 () (= @t154 @t118)) % 0.47/0.96 (define @t277 () (_ @t104 @t154)) % 0.47/0.96 (define @t278 () (@var "C2" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t279 () (_ tptp.member740727610specID @t127)) % 0.47/0.96 (define @t280 () (not @t131)) % 0.47/0.96 (define @t281 () (= @t158 @t126)) % 0.47/0.96 (define @t282 () (_ @t99 @t158)) % 0.47/0.96 (define @t283 () (@var "C2" tptp.set_Secrecy_Keys)) % 0.47/0.96 (define @t284 () (_ tptp.member_Secrecy_Keys @t135)) % 0.47/0.96 (define @t285 () (not @t139)) % 0.47/0.96 (define @t286 () (= @t162 @t134)) % 0.47/0.96 (define @t287 () (_ @t89 @t162)) % 0.47/0.96 (define @t288 () (@var "C2" tptp.set_Secrecy_Secrets)) % 0.47/0.96 (define @t289 () (_ tptp.member2138796287ecrets @t143)) % 0.47/0.96 (define @t290 () (not @t147)) % 0.47/0.96 (define @t291 () (= @t166 @t142)) % 0.47/0.96 (define @t292 () (_ @t94 @t166)) % 0.47/0.96 (define @t293 () (@var "P" (-> tptp.secrecy_Keys Bool))) % 0.47/0.96 (define @t294 () (@var "P" (-> tptp.secrecy_Secrets Bool))) % 0.47/0.96 (define @t295 () (@var "X3" tptp.secrecy_KS)) % 0.47/0.96 (define @t296 () (_ tptp.insert_Secrecy_KS @t295)) % 0.47/0.96 (define @t297 () (_ tptp.member_Secrecy_KS @t295)) % 0.47/0.96 (define @t298 () (_ @t297 @t150)) % 0.47/0.96 (define @t299 () (@list @t295 @t150 @t110)) % 0.47/0.96 (define @t300 () (_ tptp.member1967978193chanID @t174)) % 0.47/0.96 (define @t301 () (_ @t300 @t154)) % 0.47/0.96 (define @t302 () (@list @t174 @t154 @t118)) % 0.47/0.96 (define @t303 () (_ tptp.member740727610specID @t170)) % 0.47/0.96 (define @t304 () (_ @t303 @t158)) % 0.47/0.96 (define @t305 () (@list @t170 @t158 @t126)) % 0.47/0.96 (define @t306 () (@var "X3" tptp.secrecy_Keys)) % 0.47/0.96 (define @t307 () (_ tptp.insert_Secrecy_Keys @t306)) % 0.47/0.96 (define @t308 () (_ tptp.member_Secrecy_Keys @t306)) % 0.47/0.96 (define @t309 () (_ @t308 @t162)) % 0.47/0.96 (define @t310 () (@var "X3" tptp.secrecy_Secrets)) % 0.47/0.96 (define @t311 () (_ tptp.insert565337510ecrets @t310)) % 0.47/0.96 (define @t312 () (_ tptp.member2138796287ecrets @t310)) % 0.47/0.96 (define @t313 () (_ @t312 @t166)) % 0.47/0.96 (define @t314 () (_ @t84 @t110)) % 0.47/0.96 (define @t315 () (_ @t104 @t118)) % 0.47/0.96 (define @t316 () (_ @t99 @t126)) % 0.47/0.96 (define @t317 () (_ @t128 tptp.bot_bo1785112429specID)) % 0.47/0.96 (define @t318 () (_ @t120 tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t319 () (@var "D" tptp.secrecy_specID)) % 0.47/0.96 (define @t320 () (@var "D" tptp.secrecy_chanID)) % 0.47/0.96 (define @t321 () (= @t111 @t83)) % 0.47/0.96 (define @t322 () (_ @t269 @t85)) % 0.47/0.96 (define @t323 () (@list @t111 @t83)) % 0.47/0.96 (define @t324 () (= @t135 @t88)) % 0.47/0.96 (define @t325 () (_ @t284 @t90)) % 0.47/0.96 (define @t326 () (@list @t135 @t88)) % 0.47/0.96 (define @t327 () (= @t143 @t93)) % 0.47/0.96 (define @t328 () (_ @t289 @t95)) % 0.47/0.96 (define @t329 () (@list @t143 @t93)) % 0.47/0.96 (define @t330 () (= @t127 @t98)) % 0.47/0.96 (define @t331 () (_ @t279 @t100)) % 0.47/0.96 (define @t332 () (@list @t127 @t98)) % 0.47/0.96 (define @t333 () (= @t119 @t103)) % 0.47/0.96 (define @t334 () (_ @t274 @t105)) % 0.47/0.96 (define @t335 () (@list @t119 @t103)) % 0.47/0.96 (define @t336 () (@var "Ks" tptp.secrecy_KS)) % 0.47/0.96 (define @t337 () (_ tptp.member_Secrecy_KS @t336)) % 0.47/0.96 (define @t338 () (not (_ @t337 @t69))) % 0.47/0.96 (define @t339 () (@var "M2" tptp.secrecy_Secrets)) % 0.47/0.96 (define @t340 () (_ tptp.secrecy_sE @t339)) % 0.47/0.96 (define @t341 () (forall (@list @t339) (=> (= @t336 (_ tptp.secrecy_sKS @t339)) (and (not (_ @t59 @t340)) (not (_ @t66 @t340)))))) % 0.47/0.96 (define @t342 () (@var "M2" tptp.secrecy_Keys)) % 0.47/0.96 (define @t343 () (_ tptp.secrecy_kE @t342)) % 0.47/0.96 (define @t344 () (forall (@list @t342) (=> (= @t336 (_ tptp.secrecy_kKS @t342)) (and (not (_ @t59 @t343)) (not (_ @t66 @t343)))))) % 0.47/0.96 (define @t345 () (@list @t38 @t43 @t42 @t336)) % 0.47/0.96 (define @t346 () (_ @t171 tptp.bot_bo1785112429specID)) % 0.47/0.96 (define @t347 () (@list @t170)) % 0.47/0.96 (define @t348 () (_ @t175 tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t349 () (@list @t174)) % 0.47/0.96 (define @t350 () (@var "Keys" tptp.secrecy_Keys)) % 0.47/0.96 (define @t351 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t350))) % 0.47/0.96 (define @t352 () (_ tptp.secrecy_kE @t350)) % 0.47/0.96 (define @t353 () (not (_ @t66 @t352))) % 0.47/0.96 (define @t354 () (not (_ @t59 @t352))) % 0.47/0.96 (define @t355 () (@var "K" tptp.secrecy_Keys)) % 0.47/0.96 (define @t356 () (_ tptp.secrecy_kE @t355)) % 0.47/0.96 (define @t357 () (_ @t66 @t356)) % 0.47/0.96 (define @t358 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t355))) % 0.47/0.96 (define @t359 () (not (_ @t358 @t61))) % 0.47/0.96 (define @t360 () (not (_ @t358 @t64))) % 0.47/0.96 (define @t361 () (_ @t59 @t356)) % 0.47/0.96 (define @t362 () (_ @t358 @t69)) % 0.47/0.96 (define @t363 () (@list @t355 @t38 @t43 @t42)) % 0.47/0.96 (define @t364 () (@var "Key" tptp.secrecy_Keys)) % 0.47/0.96 (define @t365 () (_ tptp.secrecy_kE @t364)) % 0.47/0.96 (define @t366 () (_ tptp.secrecy_kKS @t364)) % 0.47/0.96 (define @t367 () (_ tptp.secrecy_kE @t26)) % 0.47/0.96 (define @t368 () (@var "M" tptp.secrecy_Keys)) % 0.47/0.96 (define @t369 () (_ tptp.secrecy_kE @t368)) % 0.47/0.96 (define @t370 () (_ tptp.secrecy_kKS @t368)) % 0.47/0.96 (define @t371 () (@var "X" tptp.secrecy_KS)) % 0.47/0.96 (define @t372 () (_ tptp.is_sin1501507247specID @t158)) % 0.47/0.96 (define @t373 () (@var "X" tptp.secrecy_specID)) % 0.47/0.96 (define @t374 () (_ tptp.member740727610specID @t373)) % 0.47/0.96 (define @t375 () (_ tptp.is_sin581274182chanID @t154)) % 0.47/0.96 (define @t376 () (@var "X" tptp.secrecy_chanID)) % 0.47/0.96 (define @t377 () (_ tptp.member1967978193chanID @t376)) % 0.47/0.96 (define @t378 () (_ @t18 @t369)) % 0.47/0.96 (define @t379 () (_ @t21 @t370)) % 0.47/0.96 (define @t380 () (not @t379)) % 0.47/0.96 (define @t381 () (@list @t11 @t368)) % 0.47/0.96 (define @t382 () (@list @t373)) % 0.47/0.96 (define @t383 () (@list @t376)) % 0.47/0.96 (define @t384 () (@var "A3" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t385 () (@list @t384)) % 0.47/0.96 (define @t386 () (@var "A3" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t387 () (@list @t386)) % 0.47/0.96 (define @t388 () (_ tptp.member_Secrecy_KS @t370)) % 0.47/0.96 (define @t389 () (_ tptp.loc @t38)) % 0.47/0.96 (define @t390 () (= @t389 tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t391 () (@var "M3" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t392 () (_ (_ (_ tptp.ineM @t42) @t391) @t73)) % 0.47/0.96 (define @t393 () (_ tptp.ineM @t43)) % 0.47/0.96 (define @t394 () (_ (_ @t393 @t391) @t73)) % 0.47/0.96 (define @t395 () (or @t394 @t392)) % 0.47/0.96 (define @t396 () (_ (_ (_ tptp.ineM @t38) @t391) @t73)) % 0.47/0.96 (define @t397 () (@list @t38 @t391 @t73 @t43 @t42)) % 0.47/0.96 (define @t398 () (not @t396)) % 0.47/0.96 (define @t399 () (not @t392)) % 0.47/0.96 (define @t400 () (not @t394)) % 0.47/0.96 (define @t401 () (@list @t43 @t391 @t73 @t42 @t38)) % 0.47/0.96 (define @t402 () (_ tptp.ins @t42)) % 0.47/0.96 (define @t403 () (@var "Ch" tptp.secrecy_chanID)) % 0.47/0.96 (define @t404 () (_ tptp.member1967978193chanID @t403)) % 0.47/0.96 (define @t405 () (_ @t404 @t402)) % 0.47/0.96 (define @t406 () (_ tptp.ins @t43)) % 0.47/0.96 (define @t407 () (_ @t404 @t406)) % 0.47/0.96 (define @t408 () (_ tptp.ins @t38)) % 0.47/0.96 (define @t409 () (_ @t404 @t408)) % 0.47/0.96 (define @t410 () (@list @t38 @t43 @t42 @t403)) % 0.47/0.96 (define @t411 () (_ @t300 @t402)) % 0.47/0.96 (define @t412 () (_ @t300 @t406)) % 0.47/0.96 (define @t413 () (@list @t38 @t43 @t42 @t174)) % 0.47/0.96 (define @t414 () (@var "Ch2" tptp.secrecy_chanID)) % 0.47/0.96 (define @t415 () (_ tptp.member1967978193chanID @t414)) % 0.47/0.96 (define @t416 () (_ @t415 @t389)) % 0.47/0.96 (define @t417 () (_ tptp.ine_ex1303305700Single @t43)) % 0.47/0.96 (define @t418 () (_ (_ @t417 @t414) @t73)) % 0.47/0.96 (define @t419 () (@list @t414)) % 0.47/0.96 (define @t420 () (@list @t43 @t73 @t391)) % 0.47/0.96 (define @t421 () (@list @t43 @t391 @t73)) % 0.47/0.96 (define @t422 () (_ @t415 @t391)) % 0.47/0.96 (define @t423 () (_ @t404 @t389)) % 0.47/0.96 (define @t424 () (_ @t377 @t389)) % 0.47/0.96 (define @t425 () (@var "ChSetQ" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t426 () (forall @t383 (=> (_ @t377 @t425) @t424))) % 0.47/0.96 (define @t427 () (@var "ChSetP" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t428 () (forall @t383 (=> (_ @t377 @t427) @t424))) % 0.47/0.96 (define @t429 () (_ (_ (_ tptp.ine_exprChannelSet @t42) @t425) @t73)) % 0.47/0.96 (define @t430 () (_ tptp.ine_exprChannelSet @t43)) % 0.47/0.96 (define @t431 () (_ (_ @t430 @t427) @t73)) % 0.47/0.96 (define @t432 () (@list @t38 @t43 @t42 @t427 @t73 @t425 @t391)) % 0.47/0.96 (define @t433 () (@var "ChSet" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t434 () (forall @t383 (=> (_ @t377 @t433) @t424))) % 0.47/0.96 (define @t435 () (_ (_ @t430 @t433) @t73)) % 0.47/0.96 (define @t436 () (@list @t42 @t391 @t73 @t38 @t43 @t433)) % 0.47/0.96 (define @t437 () (@list @t38 @t43 @t42 @t427 @t73 @t425)) % 0.47/0.96 (define @t438 () (@list @t42 @t73 @t38 @t43 @t433)) % 0.47/0.96 (define @t439 () (not @t416)) % 0.47/0.96 (define @t440 () (_ (_ tptp.exprChannel @t414) @t73)) % 0.47/0.96 (define @t441 () (_ @t415 @t402)) % 0.47/0.96 (define @t442 () (_ @t415 @t406)) % 0.47/0.96 (define @t443 () (or @t442 @t441)) % 0.47/0.96 (define @t444 () (not @t412)) % 0.47/0.96 (define @t445 () (@var "M" tptp.secrecy_Expression)) % 0.47/0.96 (define @t446 () (_ tptp.exprChannel @t174)) % 0.47/0.96 (define @t447 () (_ tptp.exprChannel @t403)) % 0.47/0.96 (define @t448 () (_ @t447 @t73)) % 0.47/0.96 (define @t449 () (_ @t404 @t391)) % 0.47/0.96 (define @t450 () (and @t444 (not @t411))) % 0.47/0.96 (define @t451 () (@var "Secrets" tptp.secrecy_Secrets)) % 0.47/0.96 (define @t452 () (_ tptp.secrecy_sE @t451)) % 0.47/0.96 (define @t453 () (= @t433 tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t454 () (@list @t43 @t433 @t73)) % 0.47/0.96 (define @t455 () (_ (_ tptp.insert751661162chanID @t403) tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t456 () (_ (_ @t430 @t455) @t73)) % 0.47/0.96 (define @t457 () (_ (_ @t417 @t403) @t73)) % 0.47/0.96 (define @t458 () (@list @t43 @t403 @t73)) % 0.47/0.96 (define @t459 () (@list @t43 @t73 @t38 @t42)) % 0.47/0.96 (define @t460 () (@list @t43 @t391 @t73 @t38 @t42)) % 0.47/0.96 (define @t461 () (not (_ @t404 (_ tptp.loc @t43)))) % 0.47/0.96 (define @t462 () (_ tptp.specKeysSecrets @t43)) % 0.47/0.96 (define @t463 () (_ tptp.member_Secrecy_KS @t52)) % 0.47/0.96 (define @t464 () (_ @t447 @t50)) % 0.47/0.96 (define @t465 () (_ tptp.member_Secrecy_KS @t366)) % 0.47/0.96 (define @t466 () (_ @t447 @t365)) % 0.47/0.96 (define @t467 () (@var "Ch4" tptp.secrecy_chanID)) % 0.47/0.96 (define @t468 () (_ tptp.exprChannel @t467)) % 0.47/0.96 (define @t469 () (_ (_ tptp.member1967978193chanID @t467) @t408)) % 0.47/0.96 (define @t470 () (@list @t467)) % 0.47/0.96 (define @t471 () (_ tptp.specKeysSecrets @t38)) % 0.47/0.96 (define @t472 () (not (_ @t463 @t471))) % 0.47/0.96 (define @t473 () (=> @t464 (=> @t472 (=> @t40 (exists @t470 (and @t469 (_ @t468 @t50))))))) % 0.47/0.96 (define @t474 () (not (_ @t463 @t69))) % 0.47/0.96 (define @t475 () (_ tptp.correctCompositionKS @t38)) % 0.47/0.96 (define @t476 () (@list @t38 @t43 @t42 @t49 @t403)) % 0.47/0.96 (define @t477 () (=> @t464 (=> @t472 (=> @t40 (and @t409 @t464))))) % 0.47/0.96 (define @t478 () (_ tptp.specKeysSecrets @t42)) % 0.47/0.96 (define @t479 () (_ @t337 @t478)) % 0.47/0.96 (define @t480 () (_ @t337 @t462)) % 0.47/0.96 (define @t481 () (_ @t337 @t471)) % 0.47/0.96 (define @t482 () (not @t481)) % 0.47/0.96 (define @t483 () (not @t479)) % 0.47/0.96 (define @t484 () (not @t480)) % 0.47/0.96 (define @t485 () (=> @t44 (=> @t40 (=> @t475 @t39)))) % 0.47/0.96 (define @t486 () (_ tptp.member_Secrecy_KS @t37)) % 0.47/0.96 (define @t487 () (not (_ @t486 @t478))) % 0.47/0.96 (define @t488 () (not (_ @t486 @t462))) % 0.47/0.96 (define @t489 () (@list @t37 @t43 @t42 @t38)) % 0.47/0.96 (define @t490 () (not (_ @t465 @t471))) % 0.47/0.96 (define @t491 () (=> @t466 (=> @t490 (=> @t40 (and @t409 @t466))))) % 0.47/0.96 (define @t492 () (not (_ @t465 @t69))) % 0.47/0.96 (define @t493 () (@list @t38 @t43 @t42 @t364 @t403)) % 0.47/0.96 (define @t494 () (=> @t466 (=> @t490 (=> @t40 (exists @t470 (and @t469 (_ @t468 @t365))))))) % 0.47/0.96 (define @t495 () (_ (_ tptp.sup_su1301156759ecy_KS @t64) @t61)) % 0.47/0.96 (define @t496 () (_ tptp.sup_su1712599557specID @t158)) % 0.47/0.96 (define @t497 () (_ @t496 @t126)) % 0.47/0.96 (define @t498 () (_ @t226 @t497)) % 0.47/0.96 (define @t499 () (_ @t226 @t158)) % 0.47/0.96 (define @t500 () (_ @t226 @t126)) % 0.47/0.96 (define @t501 () (@list @t225 @t126 @t158)) % 0.47/0.96 (define @t502 () (_ @t222 (_ (_ tptp.sup_su552545507y_Keys @t162) @t134))) % 0.47/0.96 (define @t503 () (_ @t222 @t162)) % 0.47/0.96 (define @t504 () (_ @t222 @t134)) % 0.47/0.96 (define @t505 () (@list @t221 @t134 @t162)) % 0.47/0.96 (define @t506 () (_ @t224 (_ (_ tptp.sup_su1029080330ecrets @t166) @t142))) % 0.47/0.96 (define @t507 () (_ @t224 @t166)) % 0.47/0.96 (define @t508 () (_ @t224 @t142)) % 0.47/0.96 (define @t509 () (@list @t223 @t142 @t166)) % 0.47/0.96 (define @t510 () (_ tptp.sup_su1301156759ecy_KS @t150)) % 0.47/0.96 (define @t511 () (_ @t510 @t110)) % 0.47/0.96 (define @t512 () (_ @t220 @t511)) % 0.47/0.96 (define @t513 () (_ @t220 @t150)) % 0.47/0.96 (define @t514 () (_ @t220 @t110)) % 0.47/0.96 (define @t515 () (@list @t219 @t110 @t150)) % 0.47/0.96 (define @t516 () (_ tptp.sup_su370684444chanID @t154)) % 0.47/0.96 (define @t517 () (_ @t516 @t118)) % 0.47/0.96 (define @t518 () (_ @t228 @t517)) % 0.47/0.96 (define @t519 () (_ @t228 @t154)) % 0.47/0.96 (define @t520 () (_ @t228 @t118)) % 0.47/0.96 (define @t521 () (@list @t227 @t118 @t154)) % 0.47/0.96 (define @t522 () (@list @t225 @t158 @t126)) % 0.47/0.96 (define @t523 () (@list @t221 @t162 @t134)) % 0.47/0.96 (define @t524 () (@list @t223 @t166 @t142)) % 0.47/0.96 (define @t525 () (@list @t219 @t150 @t110)) % 0.47/0.96 (define @t526 () (@list @t227 @t154 @t118)) % 0.47/0.96 (define @t527 () (= @t110 tptp.bot_bo1943466239ecy_KS)) % 0.47/0.96 (define @t528 () (@list @t150 @t110)) % 0.47/0.96 (define @t529 () (= @t126 tptp.bot_bo1785112429specID)) % 0.47/0.96 (define @t530 () (= @t118 tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t531 () (@list @t154 @t118)) % 0.47/0.96 (define @t532 () (@var "C3" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t533 () (@var "C3" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t534 () (_ tptp.sup_su1301156759ecy_KS @t110)) % 0.47/0.96 (define @t535 () (_ @t534 @t533)) % 0.47/0.96 (define @t536 () (@var "C3" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t537 () (_ tptp.sup_su370684444chanID @t118)) % 0.47/0.96 (define @t538 () (_ @t537 @t536)) % 0.47/0.96 (define @t539 () (_ @t30 @t194)) % 0.47/0.96 (define @t540 () (_ @t195 @t110)) % 0.47/0.96 (define @t541 () (_ @t195 @t511)) % 0.47/0.96 (define @t542 () (@list @t150 @t110 @t30)) % 0.47/0.96 (define @t543 () (_ @t216 @t118)) % 0.47/0.96 (define @t544 () (_ @t216 @t517)) % 0.47/0.96 (define @t545 () (@list @t154 @t118 @t185)) % 0.47/0.96 (define @t546 () (_ @t510 @t535)) % 0.47/0.96 (define @t547 () (@list @t150 @t110 @t533)) % 0.47/0.96 (define @t548 () (_ @t516 @t538)) % 0.47/0.96 (define @t549 () (@list @t154 @t118 @t536)) % 0.47/0.96 (define @t550 () (@var "A3" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t551 () (@var "B4" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t552 () (@var "B4" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t553 () (_ tptp.sup_su1301156759ecy_KS tptp.bot_bo1943466239ecy_KS)) % 0.47/0.96 (define @t554 () (_ tptp.sup_su1712599557specID tptp.bot_bo1785112429specID)) % 0.47/0.96 (define @t555 () (_ tptp.sup_su370684444chanID tptp.bot_bo443197316chanID)) % 0.47/0.96 (define @t556 () (_ @t296 tptp.bot_bo1943466239ecy_KS)) % 0.47/0.96 (define @t557 () (= @t110 @t556)) % 0.47/0.96 (define @t558 () (= @t150 @t556)) % 0.47/0.96 (define @t559 () (or (and @t193 @t557) (and @t558 @t527) (and @t558 @t557))) % 0.47/0.96 (define @t560 () (= @t126 @t346)) % 0.47/0.96 (define @t561 () (= @t158 @t346)) % 0.47/0.96 (define @t562 () (or (and @t211 @t560) (and @t561 @t529) (and @t561 @t560))) % 0.47/0.96 (define @t563 () (= @t118 @t348)) % 0.47/0.96 (define @t564 () (= @t154 @t348)) % 0.47/0.96 (define @t565 () (or (and @t215 @t563) (and @t564 @t530) (and @t564 @t563))) % 0.47/0.96 (define @t566 () (@var "__flatten_var_0" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t567 () (@var "A4" tptp.secrecy_KS)) % 0.47/0.96 (define @t568 () (@var "__flatten_var_0" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t569 () (@var "A4" tptp.secrecy_specID)) % 0.47/0.96 (define @t570 () (@var "__flatten_var_0" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t571 () (@var "A4" tptp.secrecy_chanID)) % 0.47/0.96 (define @t572 () (@var "A2" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t573 () (_ tptp.sup_su1301156759ecy_KS @t572)) % 0.47/0.96 (define @t574 () (@list @t572)) % 0.47/0.96 (define @t575 () (@var "A2" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t576 () (_ tptp.sup_su1712599557specID @t575)) % 0.47/0.96 (define @t577 () (@list @t575)) % 0.47/0.96 (define @t578 () (@var "A2" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t579 () (_ tptp.sup_su370684444chanID @t578)) % 0.47/0.96 (define @t580 () (@list @t578)) % 0.47/0.96 (define @t581 () (@var "B2" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t582 () (and (= @t572 tptp.bot_bo1943466239ecy_KS) (= @t581 tptp.bot_bo1943466239ecy_KS))) % 0.47/0.96 (define @t583 () (_ @t573 @t581)) % 0.47/0.96 (define @t584 () (@list @t572 @t581)) % 0.47/0.96 (define @t585 () (@var "B2" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t586 () (and (= @t575 tptp.bot_bo1785112429specID) (= @t585 tptp.bot_bo1785112429specID))) % 0.47/0.96 (define @t587 () (_ @t576 @t585)) % 0.47/0.96 (define @t588 () (@list @t575 @t585)) % 0.47/0.96 (define @t589 () (@var "B2" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t590 () (and (= @t578 tptp.bot_bo443197316chanID) (= @t589 tptp.bot_bo443197316chanID))) % 0.47/0.96 (define @t591 () (_ @t579 @t589)) % 0.47/0.96 (define @t592 () (@list @t578 @t589)) % 0.47/0.96 (define @t593 () (@var "X3" tptp.set_Secrecy_KS)) % 0.47/0.96 (define @t594 () (@list @t593)) % 0.47/0.96 (define @t595 () (@var "X3" tptp.set_Secrecy_specID)) % 0.47/0.96 (define @t596 () (@list @t595)) % 0.47/0.96 (define @t597 () (@var "X3" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t598 () (@list @t597)) % 0.47/0.96 (define @t599 () (_ (_ tptp.eout @t38) @t73)) % 0.47/0.96 (define @t600 () (_ tptp.correc990227761ionOut @t38)) % 0.47/0.96 (define @t601 () (_ (_ tptp.eout @t42) @t73)) % 0.47/0.96 (define @t602 () (_ tptp.eout @t43)) % 0.47/0.96 (define @t603 () (_ @t602 @t73)) % 0.47/0.96 (define @t604 () (or @t603 @t601)) % 0.47/0.96 (define @t605 () (@var "Xa" tptp.secrecy_Keys)) % 0.47/0.96 (define @t606 () (_ tptp.member_Secrecy_Keys @t605)) % 0.47/0.96 (define @t607 () (@var "C3" tptp.secrecy_specID)) % 0.47/0.96 (define @t608 () (_ tptp.subcomponents @t607)) % 0.47/0.96 (define @t609 () (_ @t374 @t608)) % 0.47/0.96 (define @t610 () (_ tptp.specKeys @t607)) % 0.47/0.96 (define @t611 () (_ @t606 @t610)) % 0.47/0.96 (define @t612 () (_ @t303 @t608)) % 0.47/0.96 (define @t613 () (_ tptp.correctCompositionKS @t607)) % 0.47/0.96 (define @t614 () (@list @t607 @t170 @t605)) % 0.47/0.96 (define @t615 () (@var "Xa" tptp.secrecy_Secrets)) % 0.47/0.96 (define @t616 () (_ tptp.member2138796287ecrets @t615)) % 0.47/0.96 (define @t617 () (_ tptp.specSecrets @t607)) % 0.47/0.96 (define @t618 () (_ @t616 @t617)) % 0.47/0.96 (define @t619 () (@list @t607 @t170 @t615)) % 0.47/0.96 (define @t620 () (not @t599)) % 0.47/0.96 (define @t621 () (_ tptp.out_ex985543062Single @t43)) % 0.47/0.96 (define @t622 () (_ (_ @t621 @t414) @t73)) % 0.47/0.96 (define @t623 () (not @t601)) % 0.47/0.96 (define @t624 () (_ (_ (_ tptp.out_exprChannelSet @t42) @t425) @t73)) % 0.47/0.96 (define @t625 () (_ tptp.out_exprChannelSet @t43)) % 0.47/0.96 (define @t626 () (_ (_ @t625 @t427) @t73)) % 0.47/0.96 (define @t627 () (_ (_ @t625 @t433) @t73)) % 0.47/0.96 (define @t628 () (_ (_ @t625 @t455) @t73)) % 0.47/0.96 (define @t629 () (_ (_ @t621 @t403) @t73)) % 0.47/0.96 (define @t630 () (_ (_ (_ tptp.eoutM @t38) @t391) @t73)) % 0.47/0.96 (define @t631 () (not @t630)) % 0.47/0.96 (define @t632 () (_ tptp.knowle945212990e_know @t607)) % 0.47/0.96 (define @t633 () (_ tptp.member2138796287ecrets @t13)) % 0.47/0.96 (define @t634 () (or (_ @t633 @t617) (_ @t632 @t14))) % 0.47/0.96 (define @t635 () (_ tptp.eout @t607)) % 0.47/0.96 (define @t636 () (_ @t635 @t17)) % 0.47/0.96 (define @t637 () (_ tptp.knowle233900195orrect @t607)) % 0.47/0.96 (define @t638 () (_ @t637 @t14)) % 0.47/0.96 (define @t639 () (@list @t607 @t13)) % 0.47/0.96 (define @t640 () (_ tptp.eout @t11)) % 0.47/0.96 (define @t641 () (_ @t640 @t17)) % 0.47/0.96 (define @t642 () (_ tptp.knowle233900195orrect @t11)) % 0.47/0.96 (define @t643 () (_ @t642 @t14)) % 0.47/0.96 (define @t644 () (not (_ @t633 (_ tptp.specSecrets @t11)))) % 0.47/0.96 (define @t645 () (@list @t13 @t11)) % 0.47/0.96 (define @t646 () (_ (_ (_ tptp.eoutM @t43) @t391) @t73)) % 0.47/0.96 (define @t647 () (_ (_ (_ tptp.eoutM @t42) @t391) @t73)) % 0.47/0.96 (define @t648 () (or @t646 @t647)) % 0.47/0.96 (define @t649 () (not @t647)) % 0.47/0.96 (define @t650 () (_ @t642 @t370)) % 0.47/0.96 (define @t651 () (_ @t640 @t369)) % 0.47/0.96 (define @t652 () (_ tptp.member_Secrecy_Keys @t368)) % 0.47/0.96 (define @t653 () (not (_ @t652 (_ tptp.specKeys @t11)))) % 0.47/0.96 (define @t654 () (@list @t368 @t11)) % 0.47/0.96 (define @t655 () (or (_ @t652 @t610) (_ @t632 @t370))) % 0.47/0.96 (define @t656 () (_ @t635 @t369)) % 0.47/0.96 (define @t657 () (_ @t637 @t370)) % 0.47/0.96 (define @t658 () (@list @t607 @t368)) % 0.47/0.96 (define @t659 () (_ tptp.out @t42)) % 0.47/0.96 (define @t660 () (_ @t415 @t659)) % 0.47/0.96 (define @t661 () (_ tptp.out @t43)) % 0.47/0.96 (define @t662 () (_ @t415 @t661)) % 0.47/0.96 (define @t663 () (or @t662 @t660)) % 0.47/0.96 (define @t664 () (_ tptp.localSecrets tptp.q)) % 0.47/0.96 (define @t665 () (_ @t4 @t664)) % 0.47/0.96 (define @t666 () (lambda @t385 (= @t384 (_ (_ tptp.insert1671894227specID (_ tptp.the_el827131246specID @t384)) tptp.bot_bo1785112429specID)))) % 0.47/0.96 (define @t667 () (lambda @t387 (= @t386 (_ (_ tptp.insert751661162chanID (_ tptp.the_el2054381829chanID @t386)) tptp.bot_bo443197316chanID)))) % 0.47/0.96 (define @t668 () (lambda @t385 (= @t384 tptp.bot_bo1785112429specID))) % 0.47/0.96 (define @t669 () (lambda @t387 (= @t386 tptp.bot_bo443197316chanID))) % 0.47/0.96 (define @t670 () (@var "E2" tptp.secrecy_Expression)) % 0.47/0.96 (define @t671 () (_ (_ tptp.exprChannel @t184) @t670)) % 0.47/0.96 (define @t672 () (not @t671)) % 0.47/0.96 (define @t673 () (@var "SP" tptp.secrecy_specID)) % 0.47/0.96 (define @t674 () (_ tptp.ins @t673)) % 0.47/0.96 (define @t675 () (_ @t216 @t674)) % 0.47/0.96 (define @t676 () (@var "ChSet2" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t677 () (_ @t216 @t676)) % 0.47/0.96 (define @t678 () (not @t677)) % 0.47/0.96 (define @t679 () (@list @t673 @t676 @t670)) % 0.47/0.96 (define @t680 () (lambda @t679 (and (forall @t187 (=> @t677 (and @t675 @t671))) (forall @t187 (=> (and @t678 @t675) @t672))))) % 0.47/0.96 (define @t681 () (@var "Ch3" tptp.secrecy_chanID)) % 0.47/0.96 (define @t682 () (_ (_ tptp.exprChannel @t681) @t670)) % 0.47/0.96 (define @t683 () (_ tptp.member1967978193chanID @t681)) % 0.47/0.96 (define @t684 () (_ @t683 @t674)) % 0.47/0.96 (define @t685 () (and @t684 @t682)) % 0.47/0.96 (define @t686 () (@list @t681)) % 0.47/0.96 (define @t687 () (exists @t686 @t685)) % 0.47/0.96 (define @t688 () (@list @t673 @t670)) % 0.47/0.96 (define @t689 () (lambda @t688 @t687)) % 0.47/0.96 (define @t690 () (@var "M4" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t691 () (_ @t683 @t690)) % 0.47/0.96 (define @t692 () (@list @t673 @t690 @t670)) % 0.47/0.96 (define @t693 () (lambda @t692 (exists @t686 (and @t684 @t691 @t682)))) % 0.47/0.96 (define @t694 () (not (= @t184 @t681))) % 0.47/0.96 (define @t695 () (@list @t184 (@var "T" tptp.nat))) % 0.47/0.96 (define @t696 () (@list @t673 @t681 @t670)) % 0.47/0.96 (define @t697 () (lambda @t696 (and @t684 @t682 (forall @t695 (=> (and @t675 @t694) @t672))))) % 0.47/0.96 (define @t698 () (@var "Z" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t699 () (@var "Y4" tptp.set_Secrecy_chanID)) % 0.47/0.96 (define @t700 () (lambda (@list @t699 @t698) (= @t699 @t698))) % 0.47/0.96 (define @t701 () (@list @t178 @t570)) % 0.47/0.96 (define @t702 () (lambda @t701 (_ (_ @t700 (_ tptp.loc @t178)) @t570))) % 0.47/0.96 (define @t703 () (lambda @t701 (_ (_ @t700 (_ tptp.ins @t178)) @t570))) % 0.47/0.96 (define @t704 () (lambda @t197 (_ @t195 tptp.bot_bo1943466239ecy_KS))) % 0.47/0.96 (define @t705 () (lambda @t203 (_ @t201 tptp.bot_bo701486667y_Keys))) % 0.47/0.96 (define @t706 () (lambda @t209 (_ @t207 tptp.bot_bo1124690338ecrets))) % 0.47/0.96 (define @t707 () (lambda @t180 (_ @t212 tptp.bot_bo1785112429specID))) % 0.47/0.96 (define @t708 () (lambda @t187 (_ @t216 tptp.bot_bo443197316chanID))) % 0.47/0.96 (define @t709 () (@var "P2" tptp.secrecy_specID)) % 0.47/0.96 (define @t710 () (_ tptp.specKeysSecrets @t709)) % 0.47/0.96 (define @t711 () (@var "Y5" tptp.secrecy_Secrets)) % 0.47/0.96 (define @t712 () (@var "E3" tptp.list_S529945141ession)) % 0.47/0.96 (define @t713 () (lambda (@list @t709 @t712) (and (forall @t203 (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_kE @t200)) @t712) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t200)) @t710)))) (forall (@list @t711) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_sE @t711)) @t712) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t711)) @t710))))))) % 0.47/0.96 (define @t714 () (_ tptp.out @t673)) % 0.47/0.96 (define @t715 () (_ @t683 @t714)) % 0.47/0.96 (define @t716 () (lambda @t688 (exists @t686 (and @t715 @t682)))) % 0.47/0.96 (define @t717 () (lambda @t692 (exists @t686 (and @t715 @t691 @t682)))) % 0.47/0.96 (define @t718 () (_ @t216 @t714)) % 0.47/0.96 (define @t719 () (lambda @t679 (and (forall @t187 (=> @t677 (and @t718 @t671))) (forall @t187 (=> (and @t678 @t718) @t672))))) % 0.47/0.96 (define @t720 () (lambda @t696 (and @t715 @t682 (forall @t695 (=> (and @t718 @t694) @t672))))) % 0.47/0.96 (define @t721 () (lambda @t701 (_ (_ @t700 (_ tptp.out @t178)) @t570))) % 0.47/0.96 (define @t722 () (tptp.secrecy_sKS tptp.secret)) % 0.47/0.96 (define @t723 () (tptp.knowle945212990e_know tptp.q @t722)) % 0.47/0.96 (define @t724 () (_ @t1 @t3)) % 0.47/0.96 (define @t725 () (tptp.localSecrets tptp.q)) % 0.47/0.96 (define @t726 () (tptp.member_Secrecy_KS @t722 @t725)) % 0.47/0.96 (define @t727 () (or (not (forall @t686 (or (not (tptp.member1967978193chanID @t681 (tptp.ins tptp.q))) (not (tptp.exprChannel @t681 (tptp.secrecy_sE tptp.secret)))))) @t726)) % 0.47/0.96 (define @t728 () (tptp.localSecrets @t11)) % 0.47/0.96 (define @t729 () (tptp.secrecy_sKS @t13)) % 0.47/0.96 (define @t730 () (tptp.member_Secrecy_KS @t729 @t728)) % 0.47/0.96 (define @t731 () (tptp.secrecy_sE @t13)) % 0.47/0.96 (define @t732 () (not (tptp.member1967978193chanID @t681 (tptp.ins @t11)))) % 0.47/0.96 (define @t733 () (not (forall @t686 (or @t732 (not (tptp.exprChannel @t681 @t731)))))) % 0.47/0.96 (define @t734 () (or @t733 @t16)) % 0.47/0.96 (define @t735 () (tptp.knowle945212990e_know @t11 @t729)) % 0.47/0.96 (define @t736 () (= @t22 @t734)) % 0.47/0.96 (define @t737 () (tptp.exprChannel @t681 @t17)) % 0.47/0.96 (define @t738 () (not @t737)) % 0.47/0.96 (define @t739 () (or @t732 @t738)) % 0.47/0.96 (define @t740 () (forall @t686 @t739)) % 0.47/0.96 (define @t741 () (not @t740)) % 0.47/0.96 (define @t742 () (tptp.exprChannel @t681 @t670)) % 0.47/0.96 (define @t743 () (not @t742)) % 0.47/0.96 (define @t744 () (lambda (@list @t670) (not (forall @t686 (or @t732 @t743))))) % 0.47/0.96 (define @t745 () (tptp.ins @t673)) % 0.47/0.96 (define @t746 () (tptp.member1967978193chanID @t681 @t745)) % 0.47/0.96 (define @t747 () (_ (lambda @t688 (not (forall @t686 (or (not @t746) @t743)))) @t11)) % 0.47/0.96 (define @t748 () (or (_ @t747 @t17) @t16)) % 0.47/0.96 (define @t749 () (= @t22 @t748)) % 0.47/0.96 (define @t750 () (not @t682)) % 0.47/0.96 (define @t751 () (not @t684)) % 0.47/0.96 (define @t752 () (or @t751 @t750)) % 0.47/0.96 (define @t753 () (forall @t686 (not @t685))) % 0.47/0.96 (define @t754 () (not @t753)) % 0.47/0.96 (define @t755 () (= @t723 @t727)) % 0.47/0.96 (assume @p1 @t2) % 0.47/0.96 (assume @p2 (= tptp.m @t3)) % 0.47/0.96 (assume @p3 (_ (_ tptp.knowle945212990e_know tptp.pq) tptp.m)) % 0.47/0.96 (assume @p4 (_ @t4 (_ tptp.localSecrets tptp.pq))) % 0.47/0.96 (assume @p5 (forall @t9 (= (= @t8 (_ tptp.secrecy_sKS @t5)) @t7))) % 0.47/0.96 (assume @p6 (not (_ (_ tptp.ine tptp.q) @t10))) % 0.47/0.96 (assume @p7 (_ tptp.correc965049635ionLoc tptp.pq)) % 0.47/0.96 (assume @p8 (not (_ (_ tptp.ine tptp.pq) @t10))) % 0.47/0.96 (assume @p9 @t25) % 0.47/0.96 (assume @p10 (= (_ tptp.subcomponents tptp.pq) (_ (_ tptp.insert1671894227specID tptp.p) (_ (_ tptp.insert1671894227specID tptp.q) tptp.bot_bo1785112429specID)))) % 0.47/0.96 (assume @p11 (_ tptp.correctCompositionIn tptp.pq)) % 0.47/0.96 (assume @p12 (forall @t28 (not (= @t27 @t8)))) % 0.47/0.96 (assume @p13 (forall (@list @t30 @t29) (=> (forall (@list @t32) (_ @t30 (_ tptp.secrecy_kKS @t32))) (=> (forall (@list @t31) (_ @t30 (_ 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@t160 (=> @t280 @t159)))) % 0.47/0.96 (assume @p127 (forall @t165 (=> @t164 (=> @t285 @t163)))) % 0.47/0.96 (assume @p128 (forall @t169 (=> @t168 (=> @t290 @t167)))) % 0.47/0.96 (assume @p129 (forall (@list @t98 @t127) (=> (= @t100 @t317) @t131))) % 0.47/0.96 (assume @p130 (forall (@list @t103 @t119) (=> (= @t105 @t318) @t123))) % 0.47/0.96 (assume @p131 (forall @t257 (not (= @t282 tptp.bot_bo1785112429specID)))) % 0.47/0.96 (assume @p132 (forall @t254 (not (= @t277 tptp.bot_bo443197316chanID)))) % 0.47/0.96 (assume @p133 (forall (@list @t98 @t127 @t225 @t319) (= (= (_ @t99 @t317) (_ (_ tptp.insert1671894227specID @t225) (_ (_ tptp.insert1671894227specID @t319) tptp.bot_bo1785112429specID))) (or (and (= @t98 @t225) (= @t127 @t319)) (and (= @t98 @t319) (= @t127 @t225)))))) % 0.47/0.96 (assume @p134 (forall (@list @t103 @t119 @t227 @t320) (= (= (_ @t104 @t318) (_ (_ tptp.insert751661162chanID @t227) (_ (_ tptp.insert751661162chanID @t320) tptp.bot_bo443197316chanID))) (or (and (= @t103 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0.47/0.96 (assume @p273 (forall @t198 (= (_ @t510 tptp.bot_bo1943466239ecy_KS) @t150))) % 0.47/0.96 (assume @p274 (forall @t214 (= (_ @t496 tptp.bot_bo1785112429specID) @t158))) % 0.47/0.96 (assume @p275 (forall @t218 (= (_ @t516 tptp.bot_bo443197316chanID) @t154))) % 0.47/0.96 (assume @p276 (forall @t299 (= (= @t556 @t511) @t559))) % 0.47/0.96 (assume @p277 (forall @t305 (= (= @t346 @t497) @t562))) % 0.47/0.96 (assume @p278 (forall @t302 (= (= @t348 @t517) @t565))) % 0.47/0.96 (assume @p279 (forall (@list @t150 @t110 @t295) (= (= @t511 @t556) @t559))) % 0.47/0.96 (assume @p280 (forall (@list @t158 @t126 @t170) (= (= @t497 @t346) @t562))) % 0.47/0.96 (assume @p281 (forall (@list @t154 @t118 @t174) (= (= @t517 @t348) @t565))) % 0.47/0.96 (assume @p282 (= tptp.insert_Secrecy_KS (lambda (@list @t567 @t566) (_ (_ tptp.sup_su1301156759ecy_KS (_ (_ tptp.insert_Secrecy_KS @t567) tptp.bot_bo1943466239ecy_KS)) @t566)))) % 0.47/0.96 (assume @p283 (= tptp.insert1671894227specID (lambda (@list 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0.47/0.96 (assume @p293 (forall @t580 (= (_ @t555 @t578) @t578))) % 0.47/0.96 (assume @p294 (forall @t584 (= (= @t583 tptp.bot_bo1943466239ecy_KS) @t582))) % 0.47/0.96 (assume @p295 (forall @t588 (= (= @t587 tptp.bot_bo1785112429specID) @t586))) % 0.47/0.96 (assume @p296 (forall @t592 (= (= @t591 tptp.bot_bo443197316chanID) @t590))) % 0.47/0.96 (assume @p297 (forall @t594 (= (_ @t553 @t593) @t593))) % 0.47/0.96 (assume @p298 (forall @t596 (= (_ @t554 @t595) @t595))) % 0.47/0.96 (assume @p299 (forall @t598 (= (_ @t555 @t597) @t597))) % 0.47/0.96 (assume @p300 (forall @t594 (= (_ (_ tptp.sup_su1301156759ecy_KS @t593) tptp.bot_bo1943466239ecy_KS) @t593))) % 0.47/0.96 (assume @p301 (forall @t596 (= (_ (_ tptp.sup_su1712599557specID @t595) tptp.bot_bo1785112429specID) @t595))) % 0.47/0.96 (assume @p302 (forall @t598 (= (_ (_ tptp.sup_su370684444chanID @t597) tptp.bot_bo443197316chanID) @t597))) % 0.47/0.96 (assume @p303 (forall (@list @t43 @t154 @t73 @t118) (=> (_ (_ @t393 @t154) @t73) (_ (_ @t393 @t517) @t73)))) % 0.47/0.96 (assume @p304 (forall @t82 (=> @t604 (=> @t44 (=> @t600 (=> @t390 @t599)))))) % 0.47/0.96 (assume @p305 (forall @t614 (=> @t613 (=> @t612 (=> @t611 (exists @t382 (and @t609 (_ @t606 (_ tptp.specKeys @t373))))))))) % 0.47/0.96 (assume @p306 (forall @t619 (=> @t613 (=> @t612 (=> @t618 (exists @t382 (and @t609 (_ @t616 (_ tptp.specSecrets @t373))))))))) % 0.47/0.96 (assume @p307 (forall @t78 (=> @t599 (=> @t44 (=> @t600 @t604))))) % 0.47/0.96 (assume @p308 (forall @t619 (=> @t613 (=> @t612 (=> (_ @t616 (_ tptp.specSecrets @t170)) @t618))))) % 0.47/0.96 (assume @p309 (forall @t614 (=> @t613 (=> @t612 (=> (_ @t606 (_ tptp.specKeys @t170)) @t611))))) % 0.47/0.96 (assume @p310 (forall @t82 (=> @t603 (=> @t623 (=> @t44 (=> @t600 (=> (exists @t419 (and @t622 @t416)) @t620))))))) % 0.47/0.96 (assume @p311 (forall @t437 (=> @t44 (=> @t600 (=> @t626 (=> @t624 (=> @t428 (=> @t426 @t620)))))))) % 0.47/0.96 (assume @p312 (forall @t438 (=> @t623 (=> @t44 (=> @t600 (=> @t627 (=> @t434 @t620))))))) % 0.47/0.96 (assume @p313 (forall @t458 (=> @t629 @t628))) % 0.47/0.96 (assume @p314 (forall @t458 (=> @t628 @t629))) % 0.47/0.96 (assume @p315 (forall @t432 (=> @t44 (=> @t600 (=> @t626 (=> @t624 (=> (= @t391 (_ (_ tptp.sup_su370684444chanID @t427) @t425)) (=> @t428 (=> @t426 @t631))))))))) % 0.47/0.96 (assume @p316 (forall @t639 (= @t638 (= @t636 @t634)))) % 0.47/0.96 (assume @p317 (forall @t645 (=> @t644 (=> @t53 (=> @t643 (not @t641)))))) % 0.47/0.96 (assume @p318 (forall @t420 (=> (not @t603) (not @t646)))) % 0.47/0.96 (assume @p319 (forall @t421 (=> @t646 @t603))) % 0.47/0.96 (assume @p320 (forall @t397 (=> @t630 (=> @t44 (=> @t600 @t648))))) % 0.47/0.96 (assume @p321 (forall @t436 (=> @t649 (=> @t44 (=> @t600 (=> @t627 (=> @t434 @t631))))))) % 0.47/0.96 (assume @p322 (forall @t401 (=> @t646 (=> @t649 (=> @t44 (=> @t600 (=> (exists @t419 (and @t622 @t422 @t416)) @t631))))))) % 0.47/0.96 (assume @p323 (forall @t654 (=> @t653 (=> @t651 (=> @t650 @t379))))) % 0.47/0.96 (assume @p324 (forall @t658 (=> @t657 (=> @t656 @t655)))) % 0.47/0.96 (assume @p325 (forall @t654 (=> @t653 (=> @t380 (=> @t650 (not @t651)))))) % 0.47/0.96 (assume @p326 (forall @t658 (= @t657 (= @t656 @t655)))) % 0.47/0.96 (assume @p327 (forall @t645 (=> @t644 (=> @t641 (=> @t643 @t22))))) % 0.47/0.96 (assume @p328 (forall @t639 (=> @t638 (=> @t636 @t634)))) % 0.47/0.96 (assume @p329 (forall @t460 (=> @t646 (=> @t44 (=> @t600 (=> (exists @t419 (and @t660 @t440 @t439 @t422)) @t630)))))) % 0.47/0.96 (assume @p330 (forall @t401 (=> @t648 (=> @t44 (=> @t600 (=> (exists @t419 (and @t663 @t422 @t440 @t439)) @t630)))))) % 0.47/0.96 (assume @p331 (forall @t459 (=> @t603 (=> @t44 (=> @t600 (=> (exists @t419 (and @t662 @t440 @t439)) @t599)))))) % 0.47/0.96 (assume @p332 (forall @t413 (=> @t44 (=> @t600 (=> (_ @t300 (_ tptp.out @t38)) (or (_ @t300 @t661) (_ @t300 @t659))))))) % 0.47/0.96 (assume @p333 (forall @t82 (=> @t604 (=> @t44 (=> @t600 (=> (exists @t419 (and @t663 @t440 @t439)) @t599)))))) % 0.47/0.96 (assume @p334 (forall (@list @t43 @t11 @t13) (=> (_ (_ tptp.ord_le1802272080chanID @t661) (_ tptp.ins @t11)) (=> @t53 (not (_ @t602 @t17)))))) % 0.47/0.96 (assume @p335 (not (not @t665))) % 0.47/0.96 (assume @p336 true) % 0.47/0.96 (step @p337 (= tptp.is_sin1501507247specID @t666) :rule refl :args (@t666)) % 0.47/0.96 (step @p338 (= tptp.is_sin581274182chanID @t667) :rule refl :args (@t667)) % 0.47/0.96 (step @p339 (= tptp.is_emp1849217361specID @t668) :rule refl :args (@t668)) % 0.47/0.96 (step @p340 (= tptp.is_emp928984296chanID @t669) :rule refl :args (@t669)) % 0.47/0.96 (step @p341 (= tptp.ine_exprChannelSet @t680) :rule refl :args (@t680)) % 0.47/0.96 (step @p342 (= tptp.ine @t689) :rule refl :args (@t689)) % 0.47/0.96 (step @p343 (= tptp.ineM @t693) :rule refl :args (@t693)) % 0.47/0.96 (step @p344 (= tptp.ine_ex1303305700Single @t697) :rule refl :args (@t697)) % 0.47/0.96 (step @p345 (= tptp.locStream @t702) :rule refl :args (@t702)) % 0.47/0.96 (step @p346 (= tptp.inStream @t703) :rule refl :args (@t703)) % 0.47/0.96 (step @p347 (= tptp.bot_bot_Secrecy_KS_o @t704) :rule refl :args (@t704)) % 0.47/0.96 (step @p348 (= tptp.bot_bo2072920570Keys_o @t705) :rule refl :args (@t705)) % 0.47/0.96 (step @p349 (= tptp.bot_bo1909946299rets_o @t706) :rule refl :args (@t706)) % 0.47/0.96 (step @p350 (= tptp.bot_bo1767780696ecID_o @t707) :rule refl :args (@t707)) % 0.47/0.96 (step @p351 (= tptp.bot_bo1012329985anID_o @t708) :rule refl :args (@t708)) % 0.47/0.96 (step @p352 (= tptp.notSpe1586871396tsExpr @t713) :rule refl :args (@t713)) % 0.47/0.96 (step @p353 (= tptp.eout @t716) :rule refl :args (@t716)) % 0.47/0.96 (step @p354 (= tptp.eoutM @t717) :rule refl :args (@t717)) % 0.47/0.96 (step @p355 (= tptp.out_exprChannelSet @t719) :rule refl :args (@t719)) % 0.47/0.96 (step @p356 (= tptp.out_ex985543062Single @t720) :rule refl :args (@t720)) % 0.47/0.96 (step @p357 (= tptp.outStream @t721) :rule refl :args (@t721)) % 0.47/0.96 (step @p358 :rule refl :args ((tptp.knowle945212990e_know tptp.q @t3))) % 0.47/0.96 (step @p359 :rule refl :args (@t722)) % 0.47/0.96 (step @p360 :rule refl :args (tptp.q)) % 0.47/0.96 (step @p361 :rule cong :premises (@p360 @p359) :args (@t723)) % 0.47/0.96 (step @p362 :rule trans :premises (@p361 @p358)) % 0.47/0.96 (step @p363 :rule refl :args (@t1)) % 0.47/0.96 (step @p364 :rule ho_cong :premises (@p363 @p359)) % 0.47/0.96 (step @p365 :rule cong :premises (@p364 @p362) :args ((= (_ @t1 @t722) @t723))) % 0.47/0.96 (step @p366 :rule symm :premises (@p365)) % 0.47/0.96 (step @p367 :rule refl :args (@t724)) % 0.47/0.96 (step @p368 :rule eq_resolve :premises (@p367 @p366)) % 0.47/0.96 (step @p369 :rule refl :args (@t3)) % 0.47/0.96 (step @p370 :rule cong :premises (@p369 @p359) :args ((= @t3 @t722))) % 0.47/0.96 (step @p371 :rule symm :premises (@p370)) % 0.47/0.96 (step @p372 :rule eq_resolve :premises (@p369 @p371)) % 0.47/0.96 (step @p373 :rule refl :args (@t1)) % 0.47/0.96 (step @p374 :rule ho_cong :premises (@p373 @p372)) % 0.47/0.96 (step @p375 :rule trans :premises (@p374 @p368)) % 0.47/0.96 (step @p376 :rule cong :premises (@p375) :args ((not @t724))) % 0.47/0.96 (step @p377 :rule ho_cong :premises (@p373 @p2)) % 0.47/0.96 (step @p378 :rule cong :premises (@p377) :args (@t2)) % 0.47/0.96 (step @p379 :rule trans :premises (@p378 @p376)) % 0.47/0.96 (step @p380 :rule eq_resolve :premises (@p1 @p379)) % 0.47/0.96 (step @p381 :rule refl :args ((tptp.member_Secrecy_KS @t3 @t664))) % 0.47/0.96 (step @p382 :rule refl :args (@t725)) % 0.47/0.96 (step @p383 :rule cong :premises (@p359 @p382) :args (@t726)) % 0.47/0.96 (step @p384 :rule trans :premises (@p383 @p381)) % 0.47/0.96 (step @p385 :rule refl :args (tptp.member_Secrecy_KS)) % 0.47/0.96 (step @p386 :rule ho_cong :premises (@p385 @p359)) % 0.47/0.96 (step @p387 :rule ho_cong :premises (@p386 @p382)) % 0.47/0.96 (step @p388 :rule cong :premises (@p387 @p384) :args ((= (_ (_ tptp.member_Secrecy_KS @t722) @t725) @t726))) % 0.47/0.96 (step @p389 :rule symm :premises (@p388)) % 0.47/0.96 (step @p390 :rule refl :args (@t665)) % 0.47/0.96 (step @p391 :rule eq_resolve :premises (@p390 @p389)) % 0.47/0.96 (step @p392 :rule refl :args (@t664)) % 0.47/0.96 (step @p393 :rule cong :premises (@p392 @p382) :args ((= @t664 @t725))) % 0.47/0.96 (step @p394 :rule symm :premises (@p393)) % 0.47/0.96 (step @p395 :rule eq_resolve :premises (@p392 @p394)) % 0.47/0.96 (step @p396 :rule refl :args (tptp.member_Secrecy_KS)) % 0.47/0.96 (step @p397 :rule ho_cong :premises (@p396 @p372)) % 0.47/0.96 (step @p398 :rule ho_cong :premises (@p397 @p395)) % 0.47/0.96 (step @p399 :rule trans :premises (@p398 @p391)) % 0.47/0.96 (step @p400 :rule bool-double-not-elim :args (@t665)) % 0.47/0.96 (step @p401 :rule trans :premises (@p400 @p399)) % 0.47/0.96 (step @p402 :rule eq_resolve :premises (@p335 @p401)) % 0.47/0.96 (step @p403 :rule cnf_or_neg :args (@t727 1)) % 0.47/0.96 (step @p404 :rule reordering :premises (@p403) :args ((or (not @t726) @t727))) % 0.47/0.96 (step @p405 :rule chain_m_resolution :premises (@p404 @p402) :args (@t727 (@list false) (@list @t726))) % 0.47/0.96 (step @p406 :rule refl :args ((tptp.member_Secrecy_KS @t14 @t12))) % 0.47/0.96 (step @p407 :rule refl :args (@t728)) % 0.47/0.96 (step @p408 :rule refl :args (@t729)) % 0.47/0.96 (step @p409 :rule cong :premises (@p408 @p407) :args (@t730)) % 0.47/0.96 (step @p410 :rule trans :premises (@p409 @p406)) % 0.47/0.96 (step @p411 :rule ho_cong :premises (@p385 @p408)) % 0.47/0.96 (step @p412 :rule ho_cong :premises (@p411 @p407)) % 0.47/0.96 (step @p413 :rule cong :premises (@p412 @p410) :args ((= (_ (_ tptp.member_Secrecy_KS @t729) @t728) @t730))) % 0.47/0.96 (step @p414 :rule symm :premises (@p413)) % 0.47/0.96 (step @p415 :rule refl :args (@t16)) % 0.47/0.96 (step @p416 :rule eq_resolve :premises (@p415 @p414)) % 0.47/0.96 (step @p417 :rule refl :args (@t12)) % 0.47/0.96 (step @p418 :rule cong :premises (@p417 @p407) :args ((= @t12 @t728))) % 0.47/0.96 (step @p419 :rule symm :premises (@p418)) % 0.47/0.96 (step @p420 :rule eq_resolve :premises (@p417 @p419)) % 0.47/0.96 (step @p421 :rule refl :args (@t14)) % 0.47/0.96 (step @p422 :rule cong :premises (@p421 @p408) :args ((= @t14 @t729))) % 0.47/0.96 (step @p423 :rule symm :premises (@p422)) % 0.47/0.96 (step @p424 :rule eq_resolve :premises (@p421 @p423)) % 0.47/0.96 (step @p425 :rule ho_cong :premises (@p385 @p424)) % 0.47/0.96 (step @p426 :rule ho_cong :premises (@p425 @p420)) % 0.47/0.96 (step @p427 :rule trans :premises (@p426 @p416)) % 0.47/0.96 (step @p428 :rule refl :args (@t733)) % 0.47/0.96 (step @p429 :rule nary_cong :premises (@p428 @p427) :args (@t734)) % 0.47/0.96 (step @p430 :rule refl :args ((tptp.knowle945212990e_know @t11 @t14))) % 0.47/0.96 (step @p431 :rule refl :args (@t11)) % 0.47/0.96 (step @p432 :rule cong :premises (@p431 @p408) :args (@t735)) % 0.47/0.96 (step @p433 :rule trans :premises (@p432 @p430)) % 0.47/0.96 (step @p434 :rule refl :args (@t21)) % 0.47/0.96 (step @p435 :rule ho_cong :premises (@p434 @p408)) % 0.47/0.96 (step @p436 :rule cong :premises (@p435 @p433) :args ((= (_ @t21 @t729) @t735))) % 0.47/0.96 (step @p437 :rule symm :premises (@p436)) % 0.47/0.96 (step @p438 :rule refl :args (@t22)) % 0.47/0.96 (step @p439 :rule eq_resolve :premises (@p438 @p437)) % 0.47/0.96 (step @p440 :rule ho_cong :premises (@p434 @p424)) % 0.47/0.96 (step @p441 :rule trans :premises (@p440 @p439)) % 0.47/0.96 (step @p442 :rule cong :premises (@p441 @p429) :args (@t736)) % 0.47/0.96 (step @p443 :rule cong :premises (@p442) :args ((forall @t24 @t736))) % 0.47/0.96 (step @p444 :rule refl :args (@t16)) % 0.47/0.96 (step @p445 :rule refl :args (@t731)) % 0.47/0.96 (step @p446 :rule refl :args (@t17)) % 0.47/0.96 (step @p447 :rule cong :premises (@p446 @p445) :args ((= @t17 @t731))) % 0.47/0.96 (step @p448 :rule symm :premises (@p447)) % 0.47/0.96 (step @p449 :rule eq_resolve :premises (@p446 @p448)) % 0.47/0.96 (step @p450 :rule refl :args (@t681)) % 0.47/0.96 (step @p451 :rule cong :premises (@p450 @p449) :args (@t737)) % 0.47/0.96 (step @p452 :rule cong :premises (@p451) :args (@t738)) % 0.47/0.96 (step @p453 :rule refl :args (@t732)) % 0.47/0.96 (step @p454 :rule nary_cong :premises (@p453 @p452) :args (@t739)) % 0.47/0.96 (step @p455 :rule cong :premises (@p454) :args (@t740)) % 0.47/0.96 (step @p456 :rule cong :premises (@p455) :args (@t741)) % 0.47/0.96 (step @p457 :rule beta-reduce :args ((= (_ @t744 @t17) @t741))) % 0.47/0.96 (step @p458 :rule trans :premises (@p457 @p456)) % 0.47/0.96 (step @p459 :rule refl :args (@t17)) % 0.47/0.96 (step @p460 :rule beta-reduce :args ((= @t747 @t744))) % 0.47/0.96 (step @p461 :rule ho_cong :premises (@p460 @p459)) % 0.47/0.96 (step @p462 :rule trans :premises (@p461 @p458)) % 0.47/0.96 (step @p463 :rule nary_cong :premises (@p462 @p444) :args (@t748)) % 0.47/0.96 (step @p464 :rule refl :args (@t22)) % 0.47/0.96 (step @p465 :rule cong :premises (@p464 @p463) :args (@t749)) % 0.47/0.96 (step @p466 :rule cong :premises (@p465) :args ((forall @t24 @t749))) % 0.47/0.96 (step @p467 :rule trans :premises (@p466 @p443)) % 0.47/0.96 (step @p468 :rule refl :args (@t11)) % 0.47/0.96 (step @p469 :rule refl :args (@t742)) % 0.47/0.96 (step @p470 :rule refl :args (@t682)) % 0.47/0.96 (step @p471 :rule cong :premises (@p470 @p469) :args ((= @t682 @t742))) % 0.47/0.96 (step @p472 :rule symm :premises (@p471)) % 0.47/0.96 (step @p473 :rule eq_resolve :premises (@p470 @p472)) % 0.47/0.96 (step @p474 :rule cong :premises (@p473) :args (@t750)) % 0.47/0.96 (step @p475 :rule refl :args ((tptp.member1967978193chanID @t681 @t674))) % 0.47/0.96 (step @p476 :rule refl :args (@t745)) % 0.47/0.96 (step @p477 :rule cong :premises (@p450 @p476) :args (@t746)) % 0.47/0.96 (step @p478 :rule trans :premises (@p477 @p475)) % 0.47/0.96 (step @p479 :rule refl :args (@t683)) % 0.47/0.96 (step @p480 :rule ho_cong :premises (@p479 @p476)) % 0.47/0.96 (step @p481 :rule cong :premises (@p480 @p478) :args ((= (_ @t683 @t745) @t746))) % 0.47/0.96 (step @p482 :rule symm :premises (@p481)) % 0.47/0.96 (step @p483 :rule refl :args (@t684)) % 0.47/0.96 (step @p484 :rule eq_resolve :premises (@p483 @p482)) % 0.47/0.96 (step @p485 :rule refl :args (@t674)) % 0.47/0.96 (step @p486 :rule cong :premises (@p485 @p476) :args ((= @t674 @t745))) % 0.47/0.96 (step @p487 :rule symm :premises (@p486)) % 0.47/0.96 (step @p488 :rule eq_resolve :premises (@p485 @p487)) % 0.47/0.96 (step @p489 :rule ho_cong :premises (@p479 @p488)) % 0.47/0.96 (step @p490 :rule trans :premises (@p489 @p484)) % 0.47/0.96 (step @p491 :rule cong :premises (@p490) :args (@t751)) % 0.47/0.96 (step @p492 :rule nary_cong :premises (@p491 @p474) :args (@t752)) % 0.47/0.96 (step @p493 :rule cong :premises (@p492) :args ((forall @t686 @t752))) % 0.47/0.96 (step @p494 :rule bool-and-de-morgan :args (@t684 @t682 true)) % 0.47/0.96 (step @p495 :rule cong :premises (@p494) :args (@t753)) % 0.47/0.96 (step @p496 :rule trans :premises (@p495 @p493)) % 0.47/0.96 (step @p497 :rule cong :premises (@p496) :args (@t754)) % 0.47/0.96 (step @p498 :rule exists-elim :args ((= @t687 @t754))) % 0.47/0.96 (step @p499 :rule trans :premises (@p498 @p497)) % 0.47/0.96 (step @p500 :rule cong :premises (@p499) :args (@t689)) % 0.47/0.96 (step @p501 :rule trans :premises (@p342 @p500)) % 0.47/0.96 (step @p502 :rule ho_cong :premises (@p501 @p468)) % 0.47/0.96 (step @p503 :rule ho_cong :premises (@p502 @p459)) % 0.47/0.96 (step @p504 :rule nary_cong :premises (@p503 @p444) :args (@t20)) % 0.47/0.96 (step @p505 :rule cong :premises (@p464 @p504) :args (@t23)) % 0.47/0.96 (step @p506 :rule cong :premises (@p505) :args (@t25)) % 0.47/0.96 (step @p507 :rule trans :premises (@p506 @p467)) % 0.47/0.96 (step @p508 :rule eq_resolve :premises (@p9 @p507)) % 0.47/0.96 (step @p509 :rule instantiate :premises (@p508) :args ((@list tptp.q tptp.secret))) % 0.47/0.96 (step @p510 :rule cnf_equiv_pos2 :args (@t755)) % 0.47/0.96 (step @p511 :rule reordering :premises (@p510) :args ((or @t723 (not @t727) (not @t755)))) % 0.47/0.96 (step @p512 false :rule chain_m_resolution :premises (@p511 @p509 @p405 @p380) :args (false (@list false false true) (@list @t755 @t727 @t723))) % 0.47/0.96 ) % 0.47/0.96 % SZS output end Proof % 0.47/0.96 % cvc5 exiting %------------------------------------------------------------------------------