%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP089^1 : 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 : n014.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 0.48s 1.01s % Output : Proof 0.48s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP089^1 : TPTP v9.2.1. Released v7.5.0. % 0.13/0.13 % Command : /export/starexec/sandbox2/solver/bin/do_cvc5 /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM % 0.17/0.34 % Computer : n014.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 04:14:13 EDT 2026 % 0.17/0.34 % CPUTime : % 0.38/0.63 %----Proving TH0 % 0.48/1.01 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.48/1.01 % SZS status Theorem % 0.48/1.01 % SZS output start Proof % 0.48/1.01 ( % 0.48/1.01 (declare-sort tptp.secrecy_specID 0) % 0.48/1.01 (declare-sort tptp.set_Secrecy_Keys 0) % 0.48/1.01 (declare-sort tptp.set_Secrecy_Secrets 0) % 0.48/1.01 (declare-sort tptp.set_Secrecy_specID 0) % 0.48/1.01 (declare-sort tptp.set_Secrecy_KS 0) % 0.48/1.01 (declare-sort tptp.set_Secrecy_chanID 0) % 0.48/1.01 (declare-sort tptp.secrecy_Expression 0) % 0.48/1.01 (declare-sort tptp.secrecy_Keys 0) % 0.48/1.01 (declare-sort tptp.secrecy_Secrets 0) % 0.48/1.01 (declare-sort tptp.secrecy_KS 0) % 0.48/1.01 (declare-sort tptp.secrecy_chanID 0) % 0.48/1.01 (declare-sort tptp.nat 0) % 0.48/1.01 (declare-sort tptp.list_S529945141ession 0) % 0.48/1.01 (declare-const tptp.bot_bo1785112429specID tptp.set_Secrecy_specID) % 0.48/1.01 (declare-const tptp.bot_bo443197316chanID tptp.set_Secrecy_chanID) % 0.48/1.01 (declare-const tptp.the_el827131246specID (-> tptp.set_Secrecy_specID tptp.secrecy_specID)) % 0.48/1.01 (declare-const tptp.insert1671894227specID (-> tptp.secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.48/1.01 (declare-const tptp.the_el2054381829chanID (-> tptp.set_Secrecy_chanID tptp.secrecy_chanID)) % 0.48/1.01 (declare-const tptp.insert751661162chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.loc (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.ins (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.exprChannel (-> tptp.secrecy_chanID tptp.secrecy_Expression Bool)) % 0.48/1.01 (declare-const tptp.member1967978193chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID Bool)) % 0.48/1.01 (declare-const tptp.bot_bo1943466239ecy_KS tptp.set_Secrecy_KS) % 0.48/1.01 (declare-const tptp.member_Secrecy_KS (-> tptp.secrecy_KS tptp.set_Secrecy_KS Bool)) % 0.48/1.01 (declare-const tptp.bot_bo1124690338ecrets tptp.set_Secrecy_Secrets) % 0.48/1.01 (declare-const tptp.member2138796287ecrets (-> tptp.secrecy_Secrets tptp.set_Secrecy_Secrets Bool)) % 0.48/1.01 (declare-const tptp.bot_bo701486667y_Keys tptp.set_Secrecy_Keys) % 0.48/1.01 (declare-const tptp.member_Secrecy_Keys (-> tptp.secrecy_Keys tptp.set_Secrecy_Keys Bool)) % 0.48/1.01 (declare-const tptp.member740727610specID (-> tptp.secrecy_specID tptp.set_Secrecy_specID Bool)) % 0.48/1.01 (declare-const tptp.specKeysSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.48/1.01 (declare-const tptp.secrecy_sKS (-> tptp.secrecy_Secrets tptp.secrecy_KS)) % 0.48/1.01 (declare-const tptp.secrecy_sE (-> tptp.secrecy_Secrets tptp.secrecy_Expression)) % 0.48/1.01 (declare-const tptp.mem_Se1967555118ession (-> tptp.secrecy_Expression tptp.list_S529945141ession Bool)) % 0.48/1.01 (declare-const tptp.secrecy_kKS (-> tptp.secrecy_Keys tptp.secrecy_KS)) % 0.48/1.01 (declare-const tptp.secrecy_kE (-> tptp.secrecy_Keys tptp.secrecy_Expression)) % 0.48/1.01 (declare-const tptp.out (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.specKeys (-> tptp.secrecy_specID tptp.set_Secrecy_Keys)) % 0.48/1.01 (declare-const tptp.knowle233900195orrect (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.48/1.01 (declare-const tptp.correc990227761ionOut (-> tptp.secrecy_specID Bool)) % 0.48/1.01 (declare-const tptp.sup_su370684444chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.sup_su1712599557specID (-> tptp.set_Secrecy_specID tptp.set_Secrecy_specID tptp.set_Secrecy_specID)) % 0.48/1.01 (declare-const tptp.correctCompositionKS (-> tptp.secrecy_specID Bool)) % 0.48/1.01 (declare-const tptp.knowle945212990e_know (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.48/1.01 (declare-const tptp.collec625564175chanID (-> (-> tptp.secrecy_chanID Bool) tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.specSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_Secrets)) % 0.48/1.01 (declare-const tptp.subcomponents (-> tptp.secrecy_specID tptp.set_Secrecy_specID)) % 0.48/1.01 (declare-const tptp.sup_su552545507y_Keys (-> tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys)) % 0.48/1.01 (declare-const tptp.q tptp.secrecy_specID) % 0.48/1.01 (declare-const tptp.m tptp.secrecy_KS) % 0.48/1.01 (declare-const tptp.collect_Secrecy_Keys (-> (-> tptp.secrecy_Keys Bool) tptp.set_Secrecy_Keys)) % 0.48/1.01 (declare-const tptp.sup_su1029080330ecrets (-> tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets)) % 0.48/1.01 (declare-const tptp.secret tptp.secrecy_Secrets) % 0.48/1.01 (declare-const tptp.collec836099393ecrets (-> (-> tptp.secrecy_Secrets Bool) tptp.set_Secrecy_Secrets)) % 0.48/1.01 (declare-const tptp.sup_su1301156759ecy_KS (-> tptp.set_Secrecy_KS tptp.set_Secrecy_KS tptp.set_Secrecy_KS)) % 0.48/1.01 (declare-const tptp.p tptp.secrecy_specID) % 0.48/1.01 (declare-const tptp.insert_Secrecy_KS (-> tptp.secrecy_KS tptp.set_Secrecy_KS tptp.set_Secrecy_KS)) % 0.48/1.01 (declare-const tptp.correc965049635ionLoc (-> tptp.secrecy_specID Bool)) % 0.48/1.01 (declare-const tptp.localSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.48/1.01 (declare-const tptp.secrec1016742679ession (-> tptp.secrecy_KS tptp.secrecy_Expression)) % 0.48/1.01 (declare-const tptp.collect_Secrecy_KS (-> (-> tptp.secrecy_KS Bool) tptp.set_Secrecy_KS)) % 0.48/1.01 (declare-const tptp.pq tptp.secrecy_specID) % 0.48/1.01 (declare-const tptp.insert565337510ecrets (-> tptp.secrecy_Secrets tptp.set_Secrecy_Secrets tptp.set_Secrecy_Secrets)) % 0.48/1.01 (declare-const tptp.insert_Secrecy_Keys (-> tptp.secrecy_Keys tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys)) % 0.48/1.01 (declare-const tptp.collec1545797240specID (-> (-> tptp.secrecy_specID Bool) tptp.set_Secrecy_specID)) % 0.48/1.01 (declare-const tptp.correctCompositionIn (-> tptp.secrecy_specID Bool)) % 0.48/1.01 (declare-const tptp.is_sin1442426433ecy_KS (-> tptp.set_Secrecy_KS Bool)) % 0.48/1.01 (declare-const tptp.is_sin1002224330ecrets (-> tptp.set_Secrecy_Secrets Bool)) % 0.48/1.01 (declare-const tptp.ord_le1802272080chanID (-> tptp.set_Secrecy_chanID tptp.set_Secrecy_chanID Bool)) % 0.48/1.01 (declare-const tptp.is_sin1096471309y_Keys (-> tptp.set_Secrecy_Keys Bool)) % 0.48/1.01 (define tptp.is_emp1849217361specID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_specID))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo1785112429specID)))) % 0.48/1.01 (define tptp.is_emp928984296chanID () (let ((_let_1 (@var "A3" tptp.set_Secrecy_chanID))) (lambda (@list _let_1) (= _let_1 tptp.bot_bo443197316chanID)))) % 0.48/1.01 (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))))) % 0.48/1.01 (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))))) % 0.48/1.01 (define tptp.locStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X3" 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))))))) % 0.48/1.01 (define tptp.inStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X3" 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))))))) % 0.48/1.01 (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)))))))) % 0.48/1.01 (define tptp.ineM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" 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)))))))))) % 0.48/1.01 (define tptp.ine_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X3" 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))))))))))))))) % 0.48/1.01 (define tptp.ine_ex1303305700Single () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X3" 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)))))))))))) % 0.48/1.01 (define tptp.bot_bot_Secrecy_KS_o () (let ((_let_1 (@var "X3" tptp.secrecy_KS))) (lambda (@list _let_1) (_ (_ tptp.member_Secrecy_KS _let_1) tptp.bot_bo1943466239ecy_KS)))) % 0.48/1.01 (define tptp.bot_bo1909946299rets_o () (let ((_let_1 (@var "X3" tptp.secrecy_Secrets))) (lambda (@list _let_1) (_ (_ tptp.member2138796287ecrets _let_1) tptp.bot_bo1124690338ecrets)))) % 0.48/1.01 (define tptp.bot_bo2072920570Keys_o () (let ((_let_1 (@var "X3" tptp.secrecy_Keys))) (lambda (@list _let_1) (_ (_ tptp.member_Secrecy_Keys _let_1) tptp.bot_bo701486667y_Keys)))) % 0.48/1.01 (define tptp.bot_bo1767780696ecID_o () (let ((_let_1 (@var "X3" tptp.secrecy_specID))) (lambda (@list _let_1) (_ (_ tptp.member740727610specID _let_1) tptp.bot_bo1785112429specID)))) % 0.48/1.01 (define tptp.bot_bo1012329985anID_o () (let ((_let_1 (@var "X3" tptp.secrecy_chanID))) (lambda (@list _let_1) (_ (_ tptp.member1967978193chanID _let_1) tptp.bot_bo443197316chanID)))) % 0.48/1.01 (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 "X3" 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)))))))))))) % 0.48/1.01 (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)))))))) % 0.48/1.01 (define tptp.eoutM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch3" 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)))))))))) % 0.48/1.01 (define tptp.out_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X3" 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))))))))))))))) % 0.48/1.01 (define tptp.out_ex985543062Single () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X3" 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)))))))))))) % 0.48/1.01 (define tptp.outStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X3" 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))))))) % 0.48/1.01 (define @t1 () (_ tptp.correc965049635ionLoc tptp.pq)) % 0.48/1.01 (define @t2 () (_ tptp.secrecy_sE tptp.secret)) % 0.48/1.01 (define @t3 () (not (_ (_ tptp.ine tptp.p) @t2))) % 0.48/1.01 (define @t4 () (not (_ (_ tptp.ine tptp.q) @t2))) % 0.48/1.01 (define @t5 () (_ tptp.localSecrets tptp.p)) % 0.48/1.01 (define @t6 () (_ tptp.secrecy_sKS tptp.secret)) % 0.48/1.01 (define @t7 () (_ tptp.member_Secrecy_KS @t6)) % 0.48/1.01 (define @t8 () (_ @t7 @t5)) % 0.48/1.01 (define @t9 () (not @t8)) % 0.48/1.01 (define @t10 () (_ tptp.localSecrets tptp.q)) % 0.48/1.01 (define @t11 () (_ @t7 @t10)) % 0.48/1.01 (define @t12 () (not @t11)) % 0.48/1.01 (define @t13 () (_ (_ tptp.insert1671894227specID tptp.q) tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t14 () (_ tptp.insert1671894227specID tptp.p)) % 0.48/1.01 (define @t15 () (_ @t14 @t13)) % 0.48/1.01 (define @t16 () (_ tptp.subcomponents tptp.pq)) % 0.48/1.01 (define @t17 () (= @t16 @t15)) % 0.48/1.01 (define @t18 () (@var "Y2" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t19 () (@var "X2" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t20 () (= @t19 @t18)) % 0.48/1.01 (define @t21 () (_ tptp.secrecy_sKS @t19)) % 0.48/1.01 (define @t22 () (@list @t19 @t18)) % 0.48/1.01 (define @t23 () (_ tptp.knowle945212990e_know tptp.p)) % 0.48/1.01 (define @t24 () (_ tptp.knowle945212990e_know tptp.q)) % 0.48/1.01 (define @t25 () (@var "A" tptp.secrecy_specID)) % 0.48/1.01 (define @t26 () (_ tptp.localSecrets @t25)) % 0.48/1.01 (define @t27 () (@var "M" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t28 () (_ tptp.secrecy_sKS @t27)) % 0.48/1.01 (define @t29 () (_ tptp.member_Secrecy_KS @t28)) % 0.48/1.01 (define @t30 () (_ tptp.secrecy_sE @t27)) % 0.48/1.01 (define @t31 () (_ tptp.ine @t25)) % 0.48/1.01 (define @t32 () (_ @t31 @t30)) % 0.48/1.01 (define @t33 () (_ tptp.knowle945212990e_know @t25)) % 0.48/1.01 (define @t34 () (_ @t33 @t28)) % 0.48/1.01 (define @t35 () (@list @t25 @t27)) % 0.48/1.01 (define @t36 () (@var "S" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t37 () (_ tptp.secrecy_sE @t36)) % 0.48/1.01 (define @t38 () (@var "P" tptp.secrecy_specID)) % 0.48/1.01 (define @t39 () (_ tptp.ine @t38)) % 0.48/1.01 (define @t40 () (_ @t39 @t37)) % 0.48/1.01 (define @t41 () (@var "Q" tptp.secrecy_specID)) % 0.48/1.01 (define @t42 () (_ tptp.localSecrets @t41)) % 0.48/1.01 (define @t43 () (_ tptp.secrecy_sKS @t36)) % 0.48/1.01 (define @t44 () (_ tptp.member_Secrecy_KS @t43)) % 0.48/1.01 (define @t45 () (_ @t44 @t42)) % 0.48/1.01 (define @t46 () (not @t45)) % 0.48/1.01 (define @t47 () (=> @t46 @t40)) % 0.48/1.01 (define @t48 () (_ tptp.localSecrets @t38)) % 0.48/1.01 (define @t49 () (_ @t44 @t48)) % 0.48/1.01 (define @t50 () (not @t49)) % 0.48/1.01 (define @t51 () (=> @t50 @t47)) % 0.48/1.01 (define @t52 () (_ tptp.ine @t41)) % 0.48/1.01 (define @t53 () (_ @t52 @t37)) % 0.48/1.01 (define @t54 () (not @t53)) % 0.48/1.01 (define @t55 () (=> @t54 @t51)) % 0.48/1.01 (define @t56 () (@var "PQ" tptp.secrecy_specID)) % 0.48/1.01 (define @t57 () (_ tptp.correc965049635ionLoc @t56)) % 0.48/1.01 (define @t58 () (=> @t57 @t55)) % 0.48/1.01 (define @t59 () (_ (_ tptp.insert1671894227specID @t41) tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t60 () (_ tptp.insert1671894227specID @t38)) % 0.48/1.01 (define @t61 () (_ @t60 @t59)) % 0.48/1.01 (define @t62 () (_ tptp.subcomponents @t56)) % 0.48/1.01 (define @t63 () (= @t62 @t61)) % 0.48/1.01 (define @t64 () (=> @t63 @t58)) % 0.48/1.01 (define @t65 () (_ tptp.localSecrets @t56)) % 0.48/1.01 (define @t66 () (_ @t44 @t65)) % 0.48/1.01 (define @t67 () (=> @t66 @t64)) % 0.48/1.01 (define @t68 () (@list @t36 @t56 @t38 @t41)) % 0.48/1.01 (define @t69 () (forall @t68 @t67)) % 0.48/1.01 (define @t70 () (not @t40)) % 0.48/1.01 (define @t71 () (not @t66)) % 0.48/1.01 (define @t72 () (@var "Ls" tptp.secrecy_KS)) % 0.48/1.01 (define @t73 () (_ tptp.member_Secrecy_KS @t72)) % 0.48/1.01 (define @t74 () (not @t34)) % 0.48/1.01 (define @t75 () (_ tptp.secrecy_sE @t19)) % 0.48/1.01 (define @t76 () (@var "Secret" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t77 () (_ tptp.secrecy_sE @t76)) % 0.48/1.01 (define @t78 () (_ tptp.ine @t56)) % 0.48/1.01 (define @t79 () (_ tptp.correctCompositionIn @t56)) % 0.48/1.01 (define @t80 () (_ tptp.secrecy_sKS @t76)) % 0.48/1.01 (define @t81 () (_ tptp.knowle945212990e_know @t41)) % 0.48/1.01 (define @t82 () (_ tptp.knowle945212990e_know @t38)) % 0.48/1.01 (define @t83 () (@var "E" tptp.secrecy_Expression)) % 0.48/1.01 (define @t84 () (_ @t52 @t83)) % 0.48/1.01 (define @t85 () (_ @t39 @t83)) % 0.48/1.01 (define @t86 () (or @t85 @t84)) % 0.48/1.01 (define @t87 () (_ @t78 @t83)) % 0.48/1.01 (define @t88 () (@list @t56 @t83 @t38 @t41)) % 0.48/1.01 (define @t89 () (not @t87)) % 0.48/1.01 (define @t90 () (not @t84)) % 0.48/1.01 (define @t91 () (not @t85)) % 0.48/1.01 (define @t92 () (@list @t38 @t83 @t41 @t56)) % 0.48/1.01 (define @t93 () (@var "A2" tptp.secrecy_KS)) % 0.48/1.01 (define @t94 () (_ tptp.insert_Secrecy_KS @t93)) % 0.48/1.01 (define @t95 () (_ @t94 tptp.bot_bo1943466239ecy_KS)) % 0.48/1.01 (define @t96 () (_ tptp.member_Secrecy_KS @t93)) % 0.48/1.01 (define @t97 () (@list @t93)) % 0.48/1.01 (define @t98 () (@var "A2" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t99 () (_ tptp.insert565337510ecrets @t98)) % 0.48/1.01 (define @t100 () (_ @t99 tptp.bot_bo1124690338ecrets)) % 0.48/1.01 (define @t101 () (_ tptp.member2138796287ecrets @t98)) % 0.48/1.01 (define @t102 () (@list @t98)) % 0.48/1.01 (define @t103 () (@var "A2" tptp.secrecy_Keys)) % 0.48/1.01 (define @t104 () (_ tptp.insert_Secrecy_Keys @t103)) % 0.48/1.01 (define @t105 () (_ @t104 tptp.bot_bo701486667y_Keys)) % 0.48/1.01 (define @t106 () (_ tptp.member_Secrecy_Keys @t103)) % 0.48/1.01 (define @t107 () (@list @t103)) % 0.48/1.01 (define @t108 () (@var "A2" tptp.secrecy_specID)) % 0.48/1.01 (define @t109 () (_ tptp.insert1671894227specID @t108)) % 0.48/1.01 (define @t110 () (_ @t109 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t111 () (_ tptp.member740727610specID @t108)) % 0.48/1.01 (define @t112 () (@list @t108)) % 0.48/1.01 (define @t113 () (@var "A2" tptp.secrecy_chanID)) % 0.48/1.01 (define @t114 () (_ tptp.insert751661162chanID @t113)) % 0.48/1.01 (define @t115 () (_ @t114 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t116 () (_ tptp.member1967978193chanID @t113)) % 0.48/1.01 (define @t117 () (@list @t113)) % 0.48/1.01 (define @t118 () (@var "B" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t119 () (@var "B2" tptp.secrecy_KS)) % 0.48/1.01 (define @t120 () (_ tptp.insert_Secrecy_KS @t119)) % 0.48/1.01 (define @t121 () (_ @t120 @t118)) % 0.48/1.01 (define @t122 () (_ @t96 @t121)) % 0.48/1.01 (define @t123 () (= @t93 @t119)) % 0.48/1.01 (define @t124 () (_ @t96 @t118)) % 0.48/1.01 (define @t125 () (@list @t93 @t118 @t119)) % 0.48/1.01 (define @t126 () (@var "B" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t127 () (@var "B2" tptp.secrecy_chanID)) % 0.48/1.01 (define @t128 () (_ tptp.insert751661162chanID @t127)) % 0.48/1.01 (define @t129 () (_ @t128 @t126)) % 0.48/1.01 (define @t130 () (_ @t116 @t129)) % 0.48/1.01 (define @t131 () (= @t113 @t127)) % 0.48/1.01 (define @t132 () (_ @t116 @t126)) % 0.48/1.01 (define @t133 () (@list @t113 @t126 @t127)) % 0.48/1.01 (define @t134 () (@var "B" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t135 () (@var "B2" tptp.secrecy_specID)) % 0.48/1.01 (define @t136 () (_ tptp.insert1671894227specID @t135)) % 0.48/1.01 (define @t137 () (_ @t136 @t134)) % 0.48/1.01 (define @t138 () (_ @t111 @t137)) % 0.48/1.01 (define @t139 () (= @t108 @t135)) % 0.48/1.01 (define @t140 () (_ @t111 @t134)) % 0.48/1.01 (define @t141 () (@list @t108 @t134 @t135)) % 0.48/1.01 (define @t142 () (@var "B" tptp.set_Secrecy_Secrets)) % 0.48/1.01 (define @t143 () (@var "B2" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t144 () (_ tptp.insert565337510ecrets @t143)) % 0.48/1.01 (define @t145 () (_ @t144 @t142)) % 0.48/1.01 (define @t146 () (_ @t101 @t145)) % 0.48/1.01 (define @t147 () (= @t98 @t143)) % 0.48/1.01 (define @t148 () (_ @t101 @t142)) % 0.48/1.01 (define @t149 () (@list @t98 @t142 @t143)) % 0.48/1.01 (define @t150 () (@var "B" tptp.set_Secrecy_Keys)) % 0.48/1.01 (define @t151 () (@var "B2" tptp.secrecy_Keys)) % 0.48/1.01 (define @t152 () (_ tptp.insert_Secrecy_Keys @t151)) % 0.48/1.01 (define @t153 () (_ @t152 @t150)) % 0.48/1.01 (define @t154 () (_ @t106 @t153)) % 0.48/1.01 (define @t155 () (= @t103 @t151)) % 0.48/1.01 (define @t156 () (_ @t106 @t150)) % 0.48/1.01 (define @t157 () (@list @t103 @t150 @t151)) % 0.48/1.01 (define @t158 () (@var "A" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t159 () (_ @t96 @t158)) % 0.48/1.01 (define @t160 () (_ @t96 (_ @t120 @t158))) % 0.48/1.01 (define @t161 () (@list @t93 @t119 @t158)) % 0.48/1.01 (define @t162 () (@var "A" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t163 () (_ @t116 @t162)) % 0.48/1.01 (define @t164 () (_ @t116 (_ @t128 @t162))) % 0.48/1.01 (define @t165 () (@list @t113 @t127 @t162)) % 0.48/1.01 (define @t166 () (@var "A" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t167 () (_ @t111 @t166)) % 0.48/1.01 (define @t168 () (_ @t111 (_ @t136 @t166))) % 0.48/1.01 (define @t169 () (@list @t108 @t135 @t166)) % 0.48/1.01 (define @t170 () (@var "A" tptp.set_Secrecy_Secrets)) % 0.48/1.01 (define @t171 () (_ @t101 @t170)) % 0.48/1.01 (define @t172 () (_ @t101 (_ @t144 @t170))) % 0.48/1.01 (define @t173 () (@list @t98 @t143 @t170)) % 0.48/1.01 (define @t174 () (@var "A" tptp.set_Secrecy_Keys)) % 0.48/1.01 (define @t175 () (_ @t106 @t174)) % 0.48/1.01 (define @t176 () (_ @t106 (_ @t152 @t174))) % 0.48/1.01 (define @t177 () (@list @t103 @t151 @t174)) % 0.48/1.01 (define @t178 () (@var "X" tptp.secrecy_specID)) % 0.48/1.01 (define @t179 () (_ tptp.insert1671894227specID @t178)) % 0.48/1.01 (define @t180 () (_ @t179 @t166)) % 0.48/1.01 (define @t181 () (@list @t178 @t166)) % 0.48/1.01 (define @t182 () (@var "X" tptp.secrecy_chanID)) % 0.48/1.01 (define @t183 () (_ tptp.insert751661162chanID @t182)) % 0.48/1.01 (define @t184 () (_ @t183 @t162)) % 0.48/1.01 (define @t185 () (@list @t182 @t162)) % 0.48/1.01 (define @t186 () (@var "C" tptp.secrecy_KS)) % 0.48/1.01 (define @t187 () (_ tptp.member_Secrecy_KS @t186)) % 0.48/1.01 (define @t188 () (@var "C" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t189 () (_ tptp.member2138796287ecrets @t188)) % 0.48/1.01 (define @t190 () (@var "C" tptp.secrecy_Keys)) % 0.48/1.01 (define @t191 () (_ tptp.member_Secrecy_Keys @t190)) % 0.48/1.01 (define @t192 () (@var "C" tptp.secrecy_specID)) % 0.48/1.01 (define @t193 () (_ tptp.member740727610specID @t192)) % 0.48/1.01 (define @t194 () (@var "C" tptp.secrecy_chanID)) % 0.48/1.01 (define @t195 () (_ tptp.member1967978193chanID @t194)) % 0.48/1.01 (define @t196 () (= @t158 tptp.bot_bo1943466239ecy_KS)) % 0.48/1.01 (define @t197 () (@var "X3" tptp.secrecy_KS)) % 0.48/1.01 (define @t198 () (_ tptp.member_Secrecy_KS @t197)) % 0.48/1.01 (define @t199 () (_ @t198 @t158)) % 0.48/1.01 (define @t200 () (@list @t197)) % 0.48/1.01 (define @t201 () (@list @t158)) % 0.48/1.01 (define @t202 () (= @t170 tptp.bot_bo1124690338ecrets)) % 0.48/1.01 (define @t203 () (@var "X3" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t204 () (_ tptp.member2138796287ecrets @t203)) % 0.48/1.01 (define @t205 () (_ @t204 @t170)) % 0.48/1.01 (define @t206 () (@list @t203)) % 0.48/1.01 (define @t207 () (@list @t170)) % 0.48/1.01 (define @t208 () (= @t174 tptp.bot_bo701486667y_Keys)) % 0.48/1.01 (define @t209 () (@var "X3" tptp.secrecy_Keys)) % 0.48/1.01 (define @t210 () (_ tptp.member_Secrecy_Keys @t209)) % 0.48/1.01 (define @t211 () (_ @t210 @t174)) % 0.48/1.01 (define @t212 () (@list @t209)) % 0.48/1.01 (define @t213 () (@list @t174)) % 0.48/1.01 (define @t214 () (= @t166 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t215 () (@var "X3" tptp.secrecy_specID)) % 0.48/1.01 (define @t216 () (_ tptp.member740727610specID @t215)) % 0.48/1.01 (define @t217 () (_ @t216 @t166)) % 0.48/1.01 (define @t218 () (@list @t215)) % 0.48/1.01 (define @t219 () (@list @t166)) % 0.48/1.01 (define @t220 () (= @t162 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t221 () (@var "X3" tptp.secrecy_chanID)) % 0.48/1.01 (define @t222 () (_ tptp.member1967978193chanID @t221)) % 0.48/1.01 (define @t223 () (_ @t222 @t162)) % 0.48/1.01 (define @t224 () (@list @t221)) % 0.48/1.01 (define @t225 () (@list @t162)) % 0.48/1.01 (define @t226 () (@var "P" (-> tptp.secrecy_specID Bool))) % 0.48/1.01 (define @t227 () (forall @t218 (not (_ @t226 @t215)))) % 0.48/1.01 (define @t228 () (_ tptp.collec1545797240specID @t226)) % 0.48/1.01 (define @t229 () (= @t228 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t230 () (@list @t226)) % 0.48/1.01 (define @t231 () (@var "P" (-> tptp.secrecy_chanID Bool))) % 0.48/1.01 (define @t232 () (_ @t231 @t221)) % 0.48/1.01 (define @t233 () (forall @t224 (not @t232))) % 0.48/1.01 (define @t234 () (_ tptp.collec625564175chanID @t231)) % 0.48/1.01 (define @t235 () (= @t234 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t236 () (@list @t231)) % 0.48/1.01 (define @t237 () (not @t196)) % 0.48/1.01 (define @t238 () (not @t202)) % 0.48/1.01 (define @t239 () (not @t208)) % 0.48/1.01 (define @t240 () (not @t214)) % 0.48/1.01 (define @t241 () (not @t220)) % 0.48/1.01 (define @t242 () (@var "Y" tptp.secrecy_KS)) % 0.48/1.01 (define @t243 () (_ (_ tptp.member_Secrecy_KS @t242) @t158)) % 0.48/1.01 (define @t244 () (@var "Y" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t245 () (_ (_ tptp.member2138796287ecrets @t244) @t170)) % 0.48/1.01 (define @t246 () (@var "Y" tptp.secrecy_Keys)) % 0.48/1.01 (define @t247 () (_ (_ tptp.member_Secrecy_Keys @t246) @t174)) % 0.48/1.01 (define @t248 () (@var "Y" tptp.secrecy_specID)) % 0.48/1.01 (define @t249 () (_ (_ tptp.member740727610specID @t248) @t166)) % 0.48/1.01 (define @t250 () (@var "Y" tptp.secrecy_chanID)) % 0.48/1.01 (define @t251 () (_ (_ tptp.member1967978193chanID @t250) @t162)) % 0.48/1.01 (define @t252 () (not @t159)) % 0.48/1.01 (define @t253 () (not @t171)) % 0.48/1.01 (define @t254 () (not @t175)) % 0.48/1.01 (define @t255 () (not @t167)) % 0.48/1.01 (define @t256 () (not @t163)) % 0.48/1.01 (define @t257 () (@var "B3" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t258 () (@list @t257)) % 0.48/1.01 (define @t259 () (@list @t93 @t158)) % 0.48/1.01 (define @t260 () (@var "B3" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t261 () (@list @t260)) % 0.48/1.01 (define @t262 () (@list @t113 @t162)) % 0.48/1.01 (define @t263 () (@var "B3" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t264 () (@list @t263)) % 0.48/1.01 (define @t265 () (@list @t108 @t166)) % 0.48/1.01 (define @t266 () (@var "B3" tptp.set_Secrecy_Secrets)) % 0.48/1.01 (define @t267 () (@list @t266)) % 0.48/1.01 (define @t268 () (@list @t98 @t170)) % 0.48/1.01 (define @t269 () (@var "B3" tptp.set_Secrecy_Keys)) % 0.48/1.01 (define @t270 () (@list @t269)) % 0.48/1.01 (define @t271 () (@list @t103 @t174)) % 0.48/1.01 (define @t272 () (@var "Y3" tptp.secrecy_specID)) % 0.48/1.01 (define @t273 () (_ tptp.insert1671894227specID @t272)) % 0.48/1.01 (define @t274 () (@var "Y3" tptp.secrecy_chanID)) % 0.48/1.01 (define @t275 () (_ tptp.insert751661162chanID @t274)) % 0.48/1.01 (define @t276 () (@var "C2" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t277 () (_ tptp.member_Secrecy_KS @t119)) % 0.48/1.01 (define @t278 () (not @t123)) % 0.48/1.01 (define @t279 () (= @t158 @t118)) % 0.48/1.01 (define @t280 () (_ @t94 @t158)) % 0.48/1.01 (define @t281 () (@var "C2" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t282 () (_ tptp.member1967978193chanID @t127)) % 0.48/1.01 (define @t283 () (not @t131)) % 0.48/1.01 (define @t284 () (= @t162 @t126)) % 0.48/1.01 (define @t285 () (_ @t114 @t162)) % 0.48/1.01 (define @t286 () (@var "C2" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t287 () (_ tptp.member740727610specID @t135)) % 0.48/1.01 (define @t288 () (not @t139)) % 0.48/1.01 (define @t289 () (= @t166 @t134)) % 0.48/1.01 (define @t290 () (_ @t109 @t166)) % 0.48/1.01 (define @t291 () (@var "C2" tptp.set_Secrecy_Secrets)) % 0.48/1.01 (define @t292 () (_ tptp.member2138796287ecrets @t143)) % 0.48/1.01 (define @t293 () (not @t147)) % 0.48/1.01 (define @t294 () (= @t170 @t142)) % 0.48/1.01 (define @t295 () (_ @t99 @t170)) % 0.48/1.01 (define @t296 () (@var "C2" tptp.set_Secrecy_Keys)) % 0.48/1.01 (define @t297 () (_ tptp.member_Secrecy_Keys @t151)) % 0.48/1.01 (define @t298 () (not @t155)) % 0.48/1.01 (define @t299 () (= @t174 @t150)) % 0.48/1.01 (define @t300 () (_ @t104 @t174)) % 0.48/1.01 (define @t301 () (@var "X" tptp.secrecy_KS)) % 0.48/1.01 (define @t302 () (_ tptp.insert_Secrecy_KS @t301)) % 0.48/1.01 (define @t303 () (_ tptp.member_Secrecy_KS @t301)) % 0.48/1.01 (define @t304 () (_ @t303 @t158)) % 0.48/1.01 (define @t305 () (@list @t301 @t158 @t118)) % 0.48/1.01 (define @t306 () (_ tptp.member1967978193chanID @t182)) % 0.48/1.01 (define @t307 () (_ @t306 @t162)) % 0.48/1.01 (define @t308 () (@list @t182 @t162 @t126)) % 0.48/1.01 (define @t309 () (_ tptp.member740727610specID @t178)) % 0.48/1.01 (define @t310 () (_ @t309 @t166)) % 0.48/1.01 (define @t311 () (@list @t178 @t166 @t134)) % 0.48/1.01 (define @t312 () (@var "X" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t313 () (_ tptp.insert565337510ecrets @t312)) % 0.48/1.01 (define @t314 () (_ tptp.member2138796287ecrets @t312)) % 0.48/1.01 (define @t315 () (_ @t314 @t170)) % 0.48/1.01 (define @t316 () (@var "X" tptp.secrecy_Keys)) % 0.48/1.01 (define @t317 () (_ tptp.insert_Secrecy_Keys @t316)) % 0.48/1.01 (define @t318 () (_ tptp.member_Secrecy_Keys @t316)) % 0.48/1.01 (define @t319 () (_ @t318 @t174)) % 0.48/1.01 (define @t320 () (@var "P" (-> tptp.secrecy_KS Bool))) % 0.48/1.01 (define @t321 () (@var "P" (-> tptp.secrecy_Secrets Bool))) % 0.48/1.01 (define @t322 () (@var "P" (-> tptp.secrecy_Keys Bool))) % 0.48/1.01 (define @t323 () (_ @t94 @t118)) % 0.48/1.01 (define @t324 () (_ @t114 @t126)) % 0.48/1.01 (define @t325 () (_ @t109 @t134)) % 0.48/1.01 (define @t326 () (_ @t136 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t327 () (_ @t128 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t328 () (@var "D" tptp.secrecy_specID)) % 0.48/1.01 (define @t329 () (@var "D" tptp.secrecy_chanID)) % 0.48/1.01 (define @t330 () (= @t119 @t93)) % 0.48/1.01 (define @t331 () (_ @t277 @t95)) % 0.48/1.01 (define @t332 () (@list @t119 @t93)) % 0.48/1.01 (define @t333 () (= @t143 @t98)) % 0.48/1.01 (define @t334 () (_ @t292 @t100)) % 0.48/1.01 (define @t335 () (@list @t143 @t98)) % 0.48/1.01 (define @t336 () (= @t151 @t103)) % 0.48/1.01 (define @t337 () (_ @t297 @t105)) % 0.48/1.01 (define @t338 () (@list @t151 @t103)) % 0.48/1.01 (define @t339 () (= @t135 @t108)) % 0.48/1.01 (define @t340 () (_ @t287 @t110)) % 0.48/1.01 (define @t341 () (@list @t135 @t108)) % 0.48/1.01 (define @t342 () (= @t127 @t113)) % 0.48/1.01 (define @t343 () (_ @t282 @t115)) % 0.48/1.01 (define @t344 () (@list @t127 @t113)) % 0.48/1.01 (define @t345 () (_ @t179 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t346 () (@list @t178)) % 0.48/1.01 (define @t347 () (_ @t183 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t348 () (@list @t182)) % 0.48/1.01 (define @t349 () (_ tptp.loc @t56)) % 0.48/1.01 (define @t350 () (= @t349 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t351 () (@var "M2" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t352 () (_ (_ (_ tptp.ineM @t56) @t351) @t83)) % 0.48/1.01 (define @t353 () (not @t352)) % 0.48/1.01 (define @t354 () (_ (_ (_ tptp.ineM @t41) @t351) @t83)) % 0.48/1.01 (define @t355 () (not @t354)) % 0.48/1.01 (define @t356 () (_ tptp.ineM @t38)) % 0.48/1.01 (define @t357 () (_ (_ @t356 @t351) @t83)) % 0.48/1.01 (define @t358 () (not @t357)) % 0.48/1.01 (define @t359 () (@list @t38 @t351 @t83 @t41 @t56)) % 0.48/1.01 (define @t360 () (or @t357 @t354)) % 0.48/1.01 (define @t361 () (@list @t56 @t351 @t83 @t38 @t41)) % 0.48/1.01 (define @t362 () (_ tptp.ins @t41)) % 0.48/1.01 (define @t363 () (_ @t306 @t362)) % 0.48/1.01 (define @t364 () (_ tptp.ins @t38)) % 0.48/1.01 (define @t365 () (_ @t306 @t364)) % 0.48/1.01 (define @t366 () (_ tptp.ins @t56)) % 0.48/1.01 (define @t367 () (@list @t56 @t38 @t41 @t182)) % 0.48/1.01 (define @t368 () (@var "Ch" tptp.secrecy_chanID)) % 0.48/1.01 (define @t369 () (_ tptp.member1967978193chanID @t368)) % 0.48/1.01 (define @t370 () (_ @t369 @t362)) % 0.48/1.01 (define @t371 () (_ @t369 @t364)) % 0.48/1.01 (define @t372 () (_ @t369 @t366)) % 0.48/1.01 (define @t373 () (@list @t56 @t38 @t41 @t368)) % 0.48/1.01 (define @t374 () (@list @t38 @t351 @t83)) % 0.48/1.01 (define @t375 () (@list @t38 @t83 @t351)) % 0.48/1.01 (define @t376 () (_ @t369 @t349)) % 0.48/1.01 (define @t377 () (@var "X4" tptp.secrecy_KS)) % 0.48/1.01 (define @t378 () (@var "X4" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t379 () (@var "X4" tptp.secrecy_Keys)) % 0.48/1.01 (define @t380 () (_ tptp.is_sin1501507247specID @t166)) % 0.48/1.01 (define @t381 () (@var "X4" tptp.secrecy_specID)) % 0.48/1.01 (define @t382 () (_ tptp.member740727610specID @t381)) % 0.48/1.01 (define @t383 () (_ tptp.is_sin581274182chanID @t162)) % 0.48/1.01 (define @t384 () (@var "X4" tptp.secrecy_chanID)) % 0.48/1.01 (define @t385 () (_ tptp.member1967978193chanID @t384)) % 0.48/1.01 (define @t386 () (@list @t381)) % 0.48/1.01 (define @t387 () (@list @t384)) % 0.48/1.01 (define @t388 () (@var "A3" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t389 () (@list @t388)) % 0.48/1.01 (define @t390 () (@var "A3" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t391 () (@list @t390)) % 0.48/1.01 (define @t392 () (@var "Ch2" tptp.secrecy_chanID)) % 0.48/1.01 (define @t393 () (_ tptp.member1967978193chanID @t392)) % 0.48/1.01 (define @t394 () (_ @t393 @t349)) % 0.48/1.01 (define @t395 () (_ @t393 @t351)) % 0.48/1.01 (define @t396 () (_ tptp.ine_ex1303305700Single @t38)) % 0.48/1.01 (define @t397 () (_ (_ @t396 @t392) @t83)) % 0.48/1.01 (define @t398 () (@list @t392)) % 0.48/1.01 (define @t399 () (_ @t385 @t349)) % 0.48/1.01 (define @t400 () (@var "ChSet" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t401 () (forall @t387 (=> (_ @t385 @t400) @t399))) % 0.48/1.01 (define @t402 () (_ tptp.ine_exprChannelSet @t38)) % 0.48/1.01 (define @t403 () (_ (_ @t402 @t400) @t83)) % 0.48/1.01 (define @t404 () (@list @t41 @t351 @t83 @t56 @t38 @t400)) % 0.48/1.01 (define @t405 () (@var "ChSetQ" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t406 () (forall @t387 (=> (_ @t385 @t405) @t399))) % 0.48/1.01 (define @t407 () (@var "ChSetP" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t408 () (forall @t387 (=> (_ @t385 @t407) @t399))) % 0.48/1.01 (define @t409 () (_ (_ (_ tptp.ine_exprChannelSet @t41) @t405) @t83)) % 0.48/1.01 (define @t410 () (_ (_ @t402 @t407) @t83)) % 0.48/1.01 (define @t411 () (@list @t56 @t38 @t41 @t407 @t83 @t405 @t351)) % 0.48/1.01 (define @t412 () (@list @t41 @t83 @t56 @t38 @t400)) % 0.48/1.01 (define @t413 () (@list @t56 @t38 @t41 @t407 @t83 @t405)) % 0.48/1.01 (define @t414 () (_ (_ tptp.insert751661162chanID @t368) tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t415 () (_ (_ @t402 @t414) @t83)) % 0.48/1.01 (define @t416 () (_ (_ @t396 @t368) @t83)) % 0.48/1.01 (define @t417 () (@list @t38 @t368 @t83)) % 0.48/1.01 (define @t418 () (= @t400 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t419 () (@list @t38 @t400 @t83)) % 0.48/1.01 (define @t420 () (not @t394)) % 0.48/1.01 (define @t421 () (_ (_ tptp.exprChannel @t392) @t83)) % 0.48/1.01 (define @t422 () (_ @t393 @t362)) % 0.48/1.01 (define @t423 () (_ @t393 @t364)) % 0.48/1.01 (define @t424 () (or @t423 @t422)) % 0.48/1.01 (define @t425 () (@list @t38 @t351 @t83 @t56 @t41)) % 0.48/1.01 (define @t426 () (@list @t38 @t83 @t56 @t41)) % 0.48/1.01 (define @t427 () (not @t365)) % 0.48/1.01 (define @t428 () (@var "M" tptp.secrecy_Expression)) % 0.48/1.01 (define @t429 () (_ tptp.exprChannel @t182)) % 0.48/1.01 (define @t430 () (_ tptp.exprChannel @t368)) % 0.48/1.01 (define @t431 () (_ @t430 @t83)) % 0.48/1.01 (define @t432 () (_ @t369 @t351)) % 0.48/1.01 (define @t433 () (and @t427 (not @t363))) % 0.48/1.01 (define @t434 () (@var "Secrets" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t435 () (_ tptp.secrecy_sE @t434)) % 0.48/1.01 (define @t436 () (not (_ @t369 (_ tptp.loc @t38)))) % 0.48/1.01 (define @t437 () (_ tptp.specKeysSecrets @t38)) % 0.48/1.01 (define @t438 () (_ tptp.member_Secrecy_KS @t80)) % 0.48/1.01 (define @t439 () (_ @t430 @t77)) % 0.48/1.01 (define @t440 () (_ tptp.specKeysSecrets @t56)) % 0.48/1.01 (define @t441 () (not (_ @t438 @t440))) % 0.48/1.01 (define @t442 () (=> @t439 (=> @t441 (=> @t79 (and @t372 @t439))))) % 0.48/1.01 (define @t443 () (not (_ @t438 @t65))) % 0.48/1.01 (define @t444 () (_ tptp.correctCompositionKS @t56)) % 0.48/1.01 (define @t445 () (@list @t56 @t38 @t41 @t76 @t368)) % 0.48/1.01 (define @t446 () (_ tptp.specKeysSecrets @t41)) % 0.48/1.01 (define @t447 () (@var "Ks" tptp.secrecy_KS)) % 0.48/1.01 (define @t448 () (_ tptp.member_Secrecy_KS @t447)) % 0.48/1.01 (define @t449 () (_ @t448 @t446)) % 0.48/1.01 (define @t450 () (not @t449)) % 0.48/1.01 (define @t451 () (_ @t448 @t440)) % 0.48/1.01 (define @t452 () (not @t451)) % 0.48/1.01 (define @t453 () (@list @t56 @t38 @t41 @t447)) % 0.48/1.01 (define @t454 () (_ @t448 @t437)) % 0.48/1.01 (define @t455 () (not @t454)) % 0.48/1.01 (define @t456 () (@var "M" tptp.secrecy_KS)) % 0.48/1.01 (define @t457 () (=> @t63 (=> @t79 (=> @t444 (_ (_ tptp.knowle945212990e_know @t56) @t456))))) % 0.48/1.01 (define @t458 () (_ @t81 @t456)) % 0.48/1.01 (define @t459 () (_ tptp.member_Secrecy_KS @t456)) % 0.48/1.01 (define @t460 () (not (_ @t459 @t446))) % 0.48/1.01 (define @t461 () (not (_ @t459 @t437))) % 0.48/1.01 (define @t462 () (@list @t456 @t38 @t41 @t56)) % 0.48/1.01 (define @t463 () (_ @t82 @t456)) % 0.48/1.01 (define @t464 () (@var "Ch4" tptp.secrecy_chanID)) % 0.48/1.01 (define @t465 () (_ tptp.exprChannel @t464)) % 0.48/1.01 (define @t466 () (_ (_ tptp.member1967978193chanID @t464) @t366)) % 0.48/1.01 (define @t467 () (@list @t464)) % 0.48/1.01 (define @t468 () (=> @t439 (=> @t441 (=> @t79 (exists @t467 (and @t466 (_ @t465 @t77))))))) % 0.48/1.01 (define @t469 () (_ (_ tptp.sup_su1301156759ecy_KS @t48) @t42)) % 0.48/1.01 (define @t470 () (@var "Key" tptp.secrecy_Keys)) % 0.48/1.01 (define @t471 () (_ tptp.secrecy_kE @t470)) % 0.48/1.01 (define @t472 () (_ tptp.secrecy_kKS @t470)) % 0.48/1.01 (define @t473 () (_ tptp.member_Secrecy_KS @t472)) % 0.48/1.01 (define @t474 () (not (_ @t473 @t440))) % 0.48/1.01 (define @t475 () (_ @t430 @t471)) % 0.48/1.01 (define @t476 () (=> @t475 (=> @t474 (=> @t79 (exists @t467 (and @t466 (_ @t465 @t471))))))) % 0.48/1.01 (define @t477 () (not (_ @t473 @t65))) % 0.48/1.01 (define @t478 () (@list @t56 @t38 @t41 @t470 @t368)) % 0.48/1.01 (define @t479 () (=> @t475 (=> @t474 (=> @t79 (and @t372 @t475))))) % 0.48/1.01 (define @t480 () (_ @t193 @t134)) % 0.48/1.01 (define @t481 () (_ @t193 @t166)) % 0.48/1.01 (define @t482 () (_ tptp.sup_su1712599557specID @t166)) % 0.48/1.01 (define @t483 () (_ @t482 @t134)) % 0.48/1.01 (define @t484 () (_ @t193 @t483)) % 0.48/1.01 (define @t485 () (@list @t192 @t166 @t134)) % 0.48/1.01 (define @t486 () (_ @t189 @t142)) % 0.48/1.01 (define @t487 () (_ @t189 @t170)) % 0.48/1.01 (define @t488 () (_ @t189 (_ (_ tptp.sup_su1029080330ecrets @t170) @t142))) % 0.48/1.01 (define @t489 () (@list @t188 @t170 @t142)) % 0.48/1.01 (define @t490 () (_ @t191 @t150)) % 0.48/1.01 (define @t491 () (_ @t191 @t174)) % 0.48/1.01 (define @t492 () (_ @t191 (_ (_ tptp.sup_su552545507y_Keys @t174) @t150))) % 0.48/1.01 (define @t493 () (@list @t190 @t174 @t150)) % 0.48/1.01 (define @t494 () (_ @t187 @t118)) % 0.48/1.01 (define @t495 () (_ @t187 @t158)) % 0.48/1.01 (define @t496 () (_ tptp.sup_su1301156759ecy_KS @t158)) % 0.48/1.01 (define @t497 () (_ @t496 @t118)) % 0.48/1.01 (define @t498 () (_ @t187 @t497)) % 0.48/1.01 (define @t499 () (@list @t186 @t158 @t118)) % 0.48/1.01 (define @t500 () (_ @t195 @t126)) % 0.48/1.01 (define @t501 () (_ @t195 @t162)) % 0.48/1.01 (define @t502 () (_ tptp.sup_su370684444chanID @t162)) % 0.48/1.01 (define @t503 () (_ @t502 @t126)) % 0.48/1.01 (define @t504 () (_ @t195 @t503)) % 0.48/1.01 (define @t505 () (@list @t194 @t162 @t126)) % 0.48/1.01 (define @t506 () (@list @t192 @t134 @t166)) % 0.48/1.01 (define @t507 () (@list @t188 @t142 @t170)) % 0.48/1.01 (define @t508 () (@list @t190 @t150 @t174)) % 0.48/1.01 (define @t509 () (@list @t186 @t118 @t158)) % 0.48/1.01 (define @t510 () (@list @t194 @t126 @t162)) % 0.48/1.01 (define @t511 () (@var "Y1" tptp.secrecy_Keys)) % 0.48/1.01 (define @t512 () (@var "X1" tptp.secrecy_Keys)) % 0.48/1.01 (define @t513 () (= @t512 @t511)) % 0.48/1.01 (define @t514 () (_ tptp.secrecy_kKS @t512)) % 0.48/1.01 (define @t515 () (@list @t512 @t511)) % 0.48/1.01 (define @t516 () (_ tptp.secrecy_kE @t512)) % 0.48/1.01 (define @t517 () (= @t118 tptp.bot_bo1943466239ecy_KS)) % 0.48/1.01 (define @t518 () (@list @t158 @t118)) % 0.48/1.01 (define @t519 () (= @t134 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t520 () (= @t126 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t521 () (@list @t162 @t126)) % 0.48/1.01 (define @t522 () (@var "C3" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t523 () (@var "C3" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t524 () (_ tptp.sup_su1301156759ecy_KS @t118)) % 0.48/1.01 (define @t525 () (_ @t524 @t523)) % 0.48/1.01 (define @t526 () (@var "C3" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t527 () (_ tptp.sup_su370684444chanID @t126)) % 0.48/1.01 (define @t528 () (_ @t527 @t526)) % 0.48/1.01 (define @t529 () (@var "M" tptp.secrecy_Keys)) % 0.48/1.01 (define @t530 () (_ tptp.secrecy_kE @t529)) % 0.48/1.01 (define @t531 () (_ @t31 @t530)) % 0.48/1.01 (define @t532 () (_ tptp.secrecy_kKS @t529)) % 0.48/1.01 (define @t533 () (_ @t33 @t532)) % 0.48/1.01 (define @t534 () (not @t533)) % 0.48/1.01 (define @t535 () (@list @t25 @t529)) % 0.48/1.01 (define @t536 () (_ tptp.sup_su1301156759ecy_KS tptp.bot_bo1943466239ecy_KS)) % 0.48/1.01 (define @t537 () (_ tptp.sup_su1712599557specID tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t538 () (_ tptp.sup_su370684444chanID tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t539 () (_ @t496 @t525)) % 0.48/1.01 (define @t540 () (@list @t158 @t118 @t523)) % 0.48/1.01 (define @t541 () (_ @t502 @t528)) % 0.48/1.01 (define @t542 () (@list @t162 @t126 @t526)) % 0.48/1.01 (define @t543 () (@var "A3" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t544 () (@var "B4" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t545 () (@var "B4" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t546 () (_ @t320 @t197)) % 0.48/1.01 (define @t547 () (_ @t198 @t118)) % 0.48/1.01 (define @t548 () (_ @t198 @t497)) % 0.48/1.01 (define @t549 () (@list @t158 @t118 @t320)) % 0.48/1.01 (define @t550 () (_ @t222 @t126)) % 0.48/1.01 (define @t551 () (_ @t222 @t503)) % 0.48/1.01 (define @t552 () (@list @t162 @t126 @t231)) % 0.48/1.01 (define @t553 () (@var "X22" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t554 () (@var "Y3" tptp.secrecy_KS)) % 0.48/1.01 (define @t555 () (@var "X12" tptp.secrecy_Keys)) % 0.48/1.01 (define @t556 () (@var "KS" tptp.secrecy_KS)) % 0.48/1.01 (define @t557 () (@list @t512 @t19)) % 0.48/1.01 (define @t558 () (_ tptp.member_Secrecy_KS @t532)) % 0.48/1.01 (define @t559 () (@var "__flatten_var_0" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t560 () (@var "A4" tptp.secrecy_KS)) % 0.48/1.01 (define @t561 () (@var "__flatten_var_0" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t562 () (@var "A4" tptp.secrecy_specID)) % 0.48/1.01 (define @t563 () (@var "__flatten_var_0" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t564 () (@var "A4" tptp.secrecy_chanID)) % 0.48/1.01 (define @t565 () (_ @t302 tptp.bot_bo1943466239ecy_KS)) % 0.48/1.01 (define @t566 () (= @t118 @t565)) % 0.48/1.01 (define @t567 () (= @t158 @t565)) % 0.48/1.01 (define @t568 () (or (and @t196 @t566) (and @t567 @t517) (and @t567 @t566))) % 0.48/1.01 (define @t569 () (= @t134 @t345)) % 0.48/1.01 (define @t570 () (= @t166 @t345)) % 0.48/1.01 (define @t571 () (or (and @t214 @t569) (and @t570 @t519) (and @t570 @t569))) % 0.48/1.01 (define @t572 () (= @t126 @t347)) % 0.48/1.01 (define @t573 () (= @t162 @t347)) % 0.48/1.01 (define @t574 () (or (and @t220 @t572) (and @t573 @t520) (and @t573 @t572))) % 0.48/1.01 (define @t575 () (@var "K" tptp.secrecy_Keys)) % 0.48/1.01 (define @t576 () (_ tptp.secrecy_kE @t575)) % 0.48/1.01 (define @t577 () (_ @t39 @t576)) % 0.48/1.01 (define @t578 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t575))) % 0.48/1.01 (define @t579 () (not (_ @t578 @t42))) % 0.48/1.01 (define @t580 () (not (_ @t578 @t48))) % 0.48/1.01 (define @t581 () (_ @t52 @t576)) % 0.48/1.01 (define @t582 () (_ @t578 @t65)) % 0.48/1.01 (define @t583 () (@list @t575 @t56 @t38 @t41)) % 0.48/1.01 (define @t584 () (@var "Keys" tptp.secrecy_Keys)) % 0.48/1.01 (define @t585 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t584))) % 0.48/1.01 (define @t586 () (_ tptp.secrecy_kE @t584)) % 0.48/1.01 (define @t587 () (not (_ @t52 @t586))) % 0.48/1.01 (define @t588 () (not (_ @t39 @t586))) % 0.48/1.01 (define @t589 () (not (_ @t448 @t65))) % 0.48/1.01 (define @t590 () (@var "M4" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t591 () (_ tptp.secrecy_sE @t590)) % 0.48/1.01 (define @t592 () (forall (@list @t590) (=> (= @t447 (_ tptp.secrecy_sKS @t590)) (and (not (_ @t39 @t591)) (not (_ @t52 @t591)))))) % 0.48/1.01 (define @t593 () (@var "M4" tptp.secrecy_Keys)) % 0.48/1.01 (define @t594 () (_ tptp.secrecy_kE @t593)) % 0.48/1.01 (define @t595 () (forall (@list @t593) (=> (= @t447 (_ tptp.secrecy_kKS @t593)) (and (not (_ @t39 @t594)) (not (_ @t52 @t594)))))) % 0.48/1.01 (define @t596 () (@var "X" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t597 () (@list @t596)) % 0.48/1.01 (define @t598 () (@var "X" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t599 () (@list @t598)) % 0.48/1.01 (define @t600 () (@var "X" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t601 () (@list @t600)) % 0.48/1.01 (define @t602 () (_ tptp.sup_su1301156759ecy_KS @t596)) % 0.48/1.01 (define @t603 () (_ tptp.sup_su1712599557specID @t598)) % 0.48/1.01 (define @t604 () (_ tptp.sup_su370684444chanID @t600)) % 0.48/1.01 (define @t605 () (@var "Y3" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t606 () (and (= @t596 tptp.bot_bo1943466239ecy_KS) (= @t605 tptp.bot_bo1943466239ecy_KS))) % 0.48/1.01 (define @t607 () (_ @t602 @t605)) % 0.48/1.01 (define @t608 () (@list @t596 @t605)) % 0.48/1.01 (define @t609 () (@var "Y3" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t610 () (and (= @t598 tptp.bot_bo1785112429specID) (= @t609 tptp.bot_bo1785112429specID))) % 0.48/1.01 (define @t611 () (_ @t603 @t609)) % 0.48/1.01 (define @t612 () (@list @t598 @t609)) % 0.48/1.01 (define @t613 () (@var "Y3" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t614 () (and (= @t600 tptp.bot_bo443197316chanID) (= @t613 tptp.bot_bo443197316chanID))) % 0.48/1.01 (define @t615 () (_ @t604 @t613)) % 0.48/1.01 (define @t616 () (@list @t600 @t613)) % 0.48/1.01 (define @t617 () (@var "A2" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t618 () (@var "A2" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t619 () (_ (_ tptp.eout @t56) @t83)) % 0.48/1.01 (define @t620 () (_ tptp.correc990227761ionOut @t56)) % 0.48/1.01 (define @t621 () (_ (_ tptp.eout @t41) @t83)) % 0.48/1.01 (define @t622 () (_ tptp.eout @t38)) % 0.48/1.01 (define @t623 () (_ @t622 @t83)) % 0.48/1.01 (define @t624 () (or @t623 @t621)) % 0.48/1.01 (define @t625 () (@var "C3" tptp.secrecy_specID)) % 0.48/1.01 (define @t626 () (_ tptp.specSecrets @t625)) % 0.48/1.01 (define @t627 () (@var "Xa" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t628 () (_ tptp.member2138796287ecrets @t627)) % 0.48/1.01 (define @t629 () (_ @t628 @t626)) % 0.48/1.01 (define @t630 () (_ tptp.subcomponents @t625)) % 0.48/1.01 (define @t631 () (_ @t309 @t630)) % 0.48/1.01 (define @t632 () (_ tptp.correctCompositionKS @t625)) % 0.48/1.01 (define @t633 () (@list @t625 @t178 @t627)) % 0.48/1.01 (define @t634 () (_ @t382 @t630)) % 0.48/1.01 (define @t635 () (not @t619)) % 0.48/1.01 (define @t636 () (_ tptp.out_ex985543062Single @t38)) % 0.48/1.01 (define @t637 () (_ (_ @t636 @t392) @t83)) % 0.48/1.01 (define @t638 () (not @t621)) % 0.48/1.01 (define @t639 () (_ tptp.out_exprChannelSet @t38)) % 0.48/1.01 (define @t640 () (_ (_ @t639 @t400) @t83)) % 0.48/1.01 (define @t641 () (_ (_ (_ tptp.out_exprChannelSet @t41) @t405) @t83)) % 0.48/1.01 (define @t642 () (_ (_ @t639 @t407) @t83)) % 0.48/1.01 (define @t643 () (_ (_ @t639 @t414) @t83)) % 0.48/1.01 (define @t644 () (_ (_ @t636 @t368) @t83)) % 0.48/1.01 (define @t645 () (_ (_ (_ tptp.eoutM @t56) @t351) @t83)) % 0.48/1.01 (define @t646 () (not @t645)) % 0.48/1.01 (define @t647 () (_ tptp.knowle233900195orrect @t25)) % 0.48/1.01 (define @t648 () (_ @t647 @t28)) % 0.48/1.01 (define @t649 () (_ tptp.eout @t25)) % 0.48/1.01 (define @t650 () (_ @t649 @t30)) % 0.48/1.01 (define @t651 () (_ tptp.member2138796287ecrets @t27)) % 0.48/1.01 (define @t652 () (not (_ @t651 (_ tptp.specSecrets @t25)))) % 0.48/1.01 (define @t653 () (@list @t27 @t25)) % 0.48/1.01 (define @t654 () (_ tptp.knowle945212990e_know @t625)) % 0.48/1.01 (define @t655 () (or (_ @t651 @t626) (_ @t654 @t28))) % 0.48/1.01 (define @t656 () (_ tptp.eout @t625)) % 0.48/1.01 (define @t657 () (_ @t656 @t30)) % 0.48/1.01 (define @t658 () (_ tptp.knowle233900195orrect @t625)) % 0.48/1.01 (define @t659 () (_ @t658 @t28)) % 0.48/1.01 (define @t660 () (@list @t625 @t27)) % 0.48/1.01 (define @t661 () (_ (_ (_ tptp.eoutM @t38) @t351) @t83)) % 0.48/1.01 (define @t662 () (_ (_ (_ tptp.eoutM @t41) @t351) @t83)) % 0.48/1.01 (define @t663 () (or @t661 @t662)) % 0.48/1.01 (define @t664 () (not @t662)) % 0.48/1.01 (define @t665 () (_ tptp.out @t41)) % 0.48/1.01 (define @t666 () (_ @t393 @t665)) % 0.48/1.01 (define @t667 () (_ tptp.out @t38)) % 0.48/1.01 (define @t668 () (_ @t393 @t667)) % 0.48/1.01 (define @t669 () (or @t668 @t666)) % 0.48/1.01 (define @t670 () (_ tptp.specKeys @t625)) % 0.48/1.01 (define @t671 () (_ tptp.member_Secrecy_Keys @t529)) % 0.48/1.01 (define @t672 () (or (_ @t671 @t670) (_ @t654 @t532))) % 0.48/1.01 (define @t673 () (_ @t656 @t530)) % 0.48/1.01 (define @t674 () (_ @t658 @t532)) % 0.48/1.01 (define @t675 () (@list @t625 @t529)) % 0.48/1.01 (define @t676 () (@var "Xa" tptp.secrecy_Keys)) % 0.48/1.01 (define @t677 () (_ tptp.member_Secrecy_Keys @t676)) % 0.48/1.01 (define @t678 () (_ @t677 @t670)) % 0.48/1.01 (define @t679 () (@list @t625 @t178 @t676)) % 0.48/1.01 (define @t680 () (_ @t647 @t532)) % 0.48/1.01 (define @t681 () (_ @t649 @t530)) % 0.48/1.01 (define @t682 () (not (_ @t671 (_ tptp.specKeys @t25)))) % 0.48/1.01 (define @t683 () (@list @t529 @t25)) % 0.48/1.01 (define @t684 () (_ (_ tptp.ord_le1802272080chanID @t667) (_ tptp.ins @t25))) % 0.48/1.01 (define @t685 () (_ tptp.localSecrets tptp.pq)) % 0.48/1.01 (define @t686 () (_ @t7 @t685)) % 0.48/1.01 (define @t687 () (lambda @t389 (= @t388 tptp.bot_bo1785112429specID))) % 0.48/1.01 (define @t688 () (lambda @t391 (= @t390 tptp.bot_bo443197316chanID))) % 0.48/1.01 (define @t689 () (lambda @t389 (= @t388 (_ (_ tptp.insert1671894227specID (_ tptp.the_el827131246specID @t388)) tptp.bot_bo1785112429specID)))) % 0.48/1.01 (define @t690 () (lambda @t391 (= @t390 (_ (_ tptp.insert751661162chanID (_ tptp.the_el2054381829chanID @t390)) tptp.bot_bo443197316chanID)))) % 0.48/1.01 (define @t691 () (@var "Z" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t692 () (@var "Y4" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t693 () (lambda (@list @t692 @t691) (= @t692 @t691))) % 0.48/1.01 (define @t694 () (@list @t215 @t563)) % 0.48/1.01 (define @t695 () (lambda @t694 (_ (_ @t693 (_ tptp.loc @t215)) @t563))) % 0.48/1.01 (define @t696 () (lambda @t694 (_ (_ @t693 (_ tptp.ins @t215)) @t563))) % 0.48/1.01 (define @t697 () (@var "E2" tptp.secrecy_Expression)) % 0.48/1.01 (define @t698 () (@var "Ch3" tptp.secrecy_chanID)) % 0.48/1.01 (define @t699 () (_ (_ tptp.exprChannel @t698) @t697)) % 0.48/1.01 (define @t700 () (@var "SP" tptp.secrecy_specID)) % 0.48/1.01 (define @t701 () (_ tptp.ins @t700)) % 0.48/1.01 (define @t702 () (_ tptp.member1967978193chanID @t698)) % 0.48/1.01 (define @t703 () (_ @t702 @t701)) % 0.48/1.01 (define @t704 () (and @t703 @t699)) % 0.48/1.01 (define @t705 () (@list @t698)) % 0.48/1.01 (define @t706 () (exists @t705 @t704)) % 0.48/1.01 (define @t707 () (@list @t700 @t697)) % 0.48/1.01 (define @t708 () (lambda @t707 @t706)) % 0.48/1.01 (define @t709 () (@var "M3" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t710 () (_ @t702 @t709)) % 0.48/1.01 (define @t711 () (@list @t700 @t709 @t697)) % 0.48/1.01 (define @t712 () (lambda @t711 (exists @t705 (and @t703 @t710 @t699)))) % 0.48/1.01 (define @t713 () (_ (_ tptp.exprChannel @t221) @t697)) % 0.48/1.01 (define @t714 () (not @t713)) % 0.48/1.01 (define @t715 () (_ @t222 @t701)) % 0.48/1.01 (define @t716 () (@var "ChSet2" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t717 () (_ @t222 @t716)) % 0.48/1.01 (define @t718 () (not @t717)) % 0.48/1.01 (define @t719 () (@list @t700 @t716 @t697)) % 0.48/1.01 (define @t720 () (lambda @t719 (and (forall @t224 (=> @t717 (and @t715 @t713))) (forall @t224 (=> (and @t718 @t715) @t714))))) % 0.48/1.01 (define @t721 () (not (= @t221 @t698))) % 0.48/1.01 (define @t722 () (@list @t221 (@var "T" tptp.nat))) % 0.48/1.01 (define @t723 () (@list @t700 @t698 @t697)) % 0.48/1.01 (define @t724 () (lambda @t723 (and @t703 @t699 (forall @t722 (=> (and @t715 @t721) @t714))))) % 0.48/1.01 (define @t725 () (lambda @t200 (_ @t198 tptp.bot_bo1943466239ecy_KS))) % 0.48/1.01 (define @t726 () (lambda @t206 (_ @t204 tptp.bot_bo1124690338ecrets))) % 0.48/1.01 (define @t727 () (lambda @t212 (_ @t210 tptp.bot_bo701486667y_Keys))) % 0.48/1.01 (define @t728 () (lambda @t218 (_ @t216 tptp.bot_bo1785112429specID))) % 0.48/1.01 (define @t729 () (lambda @t224 (_ @t222 tptp.bot_bo443197316chanID))) % 0.48/1.01 (define @t730 () (@var "P2" tptp.secrecy_specID)) % 0.48/1.01 (define @t731 () (_ tptp.specKeysSecrets @t730)) % 0.48/1.01 (define @t732 () (@var "Y5" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t733 () (@var "E3" tptp.list_S529945141ession)) % 0.48/1.01 (define @t734 () (lambda (@list @t730 @t733) (and (forall @t212 (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_kE @t209)) @t733) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t209)) @t731)))) (forall (@list @t732) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_sE @t732)) @t733) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t732)) @t731))))))) % 0.48/1.01 (define @t735 () (_ tptp.out @t700)) % 0.48/1.01 (define @t736 () (_ @t702 @t735)) % 0.48/1.01 (define @t737 () (lambda @t707 (exists @t705 (and @t736 @t699)))) % 0.48/1.01 (define @t738 () (lambda @t711 (exists @t705 (and @t736 @t710 @t699)))) % 0.48/1.01 (define @t739 () (_ @t222 @t735)) % 0.48/1.01 (define @t740 () (lambda @t719 (and (forall @t224 (=> @t717 (and @t739 @t713))) (forall @t224 (=> (and @t718 @t739) @t714))))) % 0.48/1.01 (define @t741 () (lambda @t723 (and @t736 @t699 (forall @t722 (=> (and @t739 @t721) @t714))))) % 0.48/1.01 (define @t742 () (lambda @t694 (_ (_ @t693 (_ tptp.out @t215)) @t563))) % 0.48/1.01 (define @t743 () (tptp.secrecy_sE @t36)) % 0.48/1.01 (define @t744 () (not (tptp.exprChannel @t698 @t743))) % 0.48/1.01 (define @t745 () (not (tptp.member1967978193chanID @t698 (tptp.ins @t38)))) % 0.48/1.01 (define @t746 () (not (forall @t705 (or @t745 @t744)))) % 0.48/1.01 (define @t747 () (tptp.localSecrets @t41)) % 0.48/1.01 (define @t748 () (tptp.secrecy_sKS @t36)) % 0.48/1.01 (define @t749 () (tptp.member_Secrecy_KS @t748 @t747)) % 0.48/1.01 (define @t750 () (_ tptp.member_Secrecy_KS @t748)) % 0.48/1.01 (define @t751 () (tptp.localSecrets @t38)) % 0.48/1.01 (define @t752 () (tptp.member_Secrecy_KS @t748 @t751)) % 0.48/1.01 (define @t753 () (not (tptp.member1967978193chanID @t698 (tptp.ins @t41)))) % 0.48/1.01 (define @t754 () (forall @t705 (or @t753 @t744))) % 0.48/1.01 (define @t755 () (not @t754)) % 0.48/1.01 (define @t756 () (tptp.correc965049635ionLoc @t56)) % 0.48/1.01 (define @t757 () (not @t57)) % 0.48/1.01 (define @t758 () (tptp.insert1671894227specID @t41 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t759 () (tptp.insert1671894227specID @t38 @t758)) % 0.48/1.01 (define @t760 () (tptp.subcomponents @t56)) % 0.48/1.01 (define @t761 () (not @t63)) % 0.48/1.01 (define @t762 () (tptp.localSecrets @t56)) % 0.48/1.01 (define @t763 () (tptp.member_Secrecy_KS @t748 @t762)) % 0.48/1.01 (define @t764 () (or @t71 @t761 @t757 @t755 @t49 @t45 @t746)) % 0.48/1.01 (define @t765 () (or @t761 @t757 @t755 @t49 @t45 @t746)) % 0.48/1.01 (define @t766 () (or @t757 @t755 @t49 @t45 @t746)) % 0.48/1.01 (define @t767 () (or @t755 @t49 @t45 @t746)) % 0.48/1.01 (define @t768 () (or @t49 @t45 @t746)) % 0.48/1.01 (define @t769 () (=> @t46 @t746)) % 0.48/1.01 (define @t770 () (=> @t50 @t769)) % 0.48/1.01 (define @t771 () (=> @t754 @t770)) % 0.48/1.01 (define @t772 () (=> @t57 @t771)) % 0.48/1.01 (define @t773 () (=> @t63 @t772)) % 0.48/1.01 (define @t774 () (tptp.exprChannel @t698 @t37)) % 0.48/1.01 (define @t775 () (not @t774)) % 0.48/1.01 (define @t776 () (or @t745 @t775)) % 0.48/1.01 (define @t777 () (forall @t705 @t776)) % 0.48/1.01 (define @t778 () (not @t777)) % 0.48/1.01 (define @t779 () (tptp.exprChannel @t698 @t697)) % 0.48/1.01 (define @t780 () (not @t779)) % 0.48/1.01 (define @t781 () (@list @t697)) % 0.48/1.01 (define @t782 () (lambda @t781 (not (forall @t705 (or @t745 @t780))))) % 0.48/1.01 (define @t783 () (tptp.ins @t700)) % 0.48/1.01 (define @t784 () (tptp.member1967978193chanID @t698 @t783)) % 0.48/1.01 (define @t785 () (lambda @t707 (not (forall @t705 (or (not @t784) @t780))))) % 0.48/1.01 (define @t786 () (_ @t785 @t38)) % 0.48/1.01 (define @t787 () (=> @t46 (_ @t786 @t37))) % 0.48/1.01 (define @t788 () (=> @t50 @t787)) % 0.48/1.01 (define @t789 () (or @t753 @t775)) % 0.48/1.01 (define @t790 () (forall @t705 @t789)) % 0.48/1.01 (define @t791 () (not @t790)) % 0.48/1.01 (define @t792 () (lambda @t781 (not (forall @t705 (or @t753 @t780))))) % 0.48/1.01 (define @t793 () (_ @t785 @t41)) % 0.48/1.01 (define @t794 () (not (_ @t793 @t37))) % 0.48/1.01 (define @t795 () (=> @t794 @t788)) % 0.48/1.01 (define @t796 () (=> @t57 @t795)) % 0.48/1.01 (define @t797 () (=> @t63 @t796)) % 0.48/1.01 (define @t798 () (=> @t66 @t797)) % 0.48/1.01 (define @t799 () (not @t699)) % 0.48/1.01 (define @t800 () (not @t703)) % 0.48/1.01 (define @t801 () (or @t800 @t799)) % 0.48/1.01 (define @t802 () (forall @t705 (not @t704))) % 0.48/1.01 (define @t803 () (not @t802)) % 0.48/1.01 (define @t804 () (tptp.localSecrets tptp.pq)) % 0.48/1.01 (define @t805 () (tptp.secrecy_sKS tptp.secret)) % 0.48/1.01 (define @t806 () (tptp.member_Secrecy_KS @t805 @t804)) % 0.48/1.01 (define @t807 () (_ tptp.member_Secrecy_KS @t805)) % 0.48/1.01 (define @t808 () (tptp.subcomponents tptp.pq)) % 0.48/1.01 (define @t809 () (tptp.insert1671894227specID tptp.q tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t810 () (tptp.insert1671894227specID tptp.p @t809)) % 0.48/1.01 (define @t811 () (tptp.correc965049635ionLoc tptp.pq)) % 0.48/1.01 (define @t812 () (tptp.localSecrets tptp.q)) % 0.48/1.01 (define @t813 () (tptp.member_Secrecy_KS @t805 @t812)) % 0.48/1.01 (define @t814 () (tptp.localSecrets tptp.p)) % 0.48/1.01 (define @t815 () (tptp.member_Secrecy_KS @t805 @t814)) % 0.48/1.01 (define @t816 () (tptp.secrecy_sE tptp.secret)) % 0.48/1.01 (define @t817 () (not (tptp.exprChannel @t698 @t816))) % 0.48/1.01 (define @t818 () (not (tptp.member1967978193chanID @t698 (tptp.ins tptp.q)))) % 0.48/1.01 (define @t819 () (forall @t705 (or @t818 @t817))) % 0.48/1.01 (define @t820 () (tptp.exprChannel @t698 @t2)) % 0.48/1.01 (define @t821 () (not @t820)) % 0.48/1.01 (define @t822 () (or @t818 @t821)) % 0.48/1.01 (define @t823 () (forall @t705 @t822)) % 0.48/1.01 (define @t824 () (not @t823)) % 0.48/1.01 (define @t825 () (lambda @t781 (not (forall @t705 (or @t818 @t780))))) % 0.48/1.01 (define @t826 () (_ @t785 tptp.q)) % 0.48/1.01 (define @t827 () (not (tptp.member1967978193chanID @t698 (tptp.ins tptp.p)))) % 0.48/1.01 (define @t828 () (forall @t705 (or @t827 @t817))) % 0.48/1.01 (define @t829 () (or @t827 @t821)) % 0.48/1.01 (define @t830 () (forall @t705 @t829)) % 0.48/1.01 (define @t831 () (not @t830)) % 0.48/1.01 (define @t832 () (lambda @t781 (not (forall @t705 (or @t827 @t780))))) % 0.48/1.01 (define @t833 () (_ @t785 tptp.p)) % 0.48/1.01 (define @t834 () (not @t828)) % 0.48/1.01 (define @t835 () (not @t819)) % 0.48/1.01 (define @t836 () (not @t811)) % 0.48/1.01 (define @t837 () (= @t810 @t808)) % 0.48/1.01 (define @t838 () (not @t837)) % 0.48/1.01 (define @t839 () (not @t806)) % 0.48/1.01 (define @t840 () (or @t839 @t838 @t836 @t835 @t815 @t813 @t834)) % 0.48/1.01 (define @t841 () (not @t840)) % 0.48/1.01 (define @t842 () (not (= @t808 @t810))) % 0.48/1.01 (define @t843 () (or @t839 @t842 @t836 @t835 @t815 @t813 @t834)) % 0.48/1.01 (define @t844 () (forall @t68 (or (not @t763) (not (= @t760 @t759)) (not @t756) @t755 @t752 @t749 @t746))) % 0.48/1.01 (assume @p1 @t1) % 0.48/1.01 (assume @p2 @t3) % 0.48/1.01 (assume @p3 @t4) % 0.48/1.01 (assume @p4 @t9) % 0.48/1.01 (assume @p5 @t12) % 0.48/1.01 (assume @p6 @t17) % 0.48/1.01 (assume @p7 (= tptp.m @t6)) % 0.48/1.01 (assume @p8 (_ tptp.correctCompositionIn tptp.pq)) % 0.48/1.01 (assume @p9 (not (_ (_ tptp.ine tptp.pq) @t2))) % 0.48/1.01 (assume @p10 (forall @t22 (= (= @t21 (_ tptp.secrecy_sKS @t18)) @t20))) % 0.48/1.01 (assume @p11 (not (_ @t23 @t6))) % 0.48/1.01 (assume @p12 (not (_ @t24 @t6))) % 0.48/1.01 (assume @p13 (forall @t35 (= @t34 (or @t32 (_ @t29 @t26))))) % 0.48/1.01 (assume @p14 @t69) % 0.48/1.01 (assume @p15 (forall @t68 (=> @t66 (=> @t63 (=> @t57 (=> @t70 (=> @t50 (=> @t46 @t53)))))))) % 0.48/1.01 (assume @p16 (forall (@list @t56 @t38 @t41 @t36) (=> @t63 (=> @t57 (=> @t70 (=> @t54 (=> @t50 (=> @t46 @t71)))))))) % 0.48/1.01 (assume @p17 (forall (@list @t27) (= (_ tptp.secrec1016742679ession @t28) @t30))) % 0.48/1.01 (assume @p18 (forall (@list @t72 @t38 @t56 @t41) (=> (_ @t73 @t48) (=> @t63 (_ @t73 @t65))))) % 0.48/1.01 (assume @p19 (forall @t35 (=> @t74 (not @t32)))) % 0.48/1.01 (assume @p20 (not (_ @t24 tptp.m))) % 0.48/1.01 (assume @p21 (not (_ @t23 tptp.m))) % 0.48/1.01 (assume @p22 (forall @t22 (= (= @t75 (_ tptp.secrecy_sE @t18)) @t20))) % 0.48/1.01 (assume @p23 (forall (@list @t38 @t76 @t41 @t56) (=> (not (_ @t82 @t80)) (=> (not (_ @t81 @t80)) (=> @t63 (=> @t79 (not (_ @t78 @t77)))))))) % 0.48/1.01 (assume @p24 (forall @t88 (=> @t87 (=> @t63 (=> @t79 @t86))))) % 0.48/1.01 (assume @p25 (forall @t92 (=> @t91 (=> @t90 (=> @t63 (=> @t79 @t89)))))) % 0.48/1.01 (assume @p26 (forall @t97 (_ @t96 @t95))) % 0.48/1.01 (assume @p27 (forall @t102 (_ @t101 @t100))) % 0.48/1.01 (assume @p28 (forall @t107 (_ @t106 @t105))) % 0.48/1.01 (assume @p29 (forall @t112 (_ @t111 @t110))) % 0.48/1.01 (assume @p30 (forall @t117 (_ @t116 @t115))) % 0.48/1.01 (assume @p31 (forall @t125 (=> (=> (not @t124) @t123) @t122))) % 0.48/1.01 (assume @p32 (forall @t133 (=> (=> (not @t132) @t131) @t130))) % 0.48/1.01 (assume @p33 (forall @t141 (=> (=> (not @t140) @t139) @t138))) % 0.48/1.01 (assume @p34 (forall @t149 (=> (=> (not @t148) @t147) @t146))) % 0.48/1.01 (assume @p35 (forall @t157 (=> (=> (not @t156) @t155) @t154))) % 0.48/1.01 (assume @p36 (forall @t161 (= @t160 (or @t123 @t159)))) % 0.48/1.01 (assume @p37 (forall @t165 (= @t164 (or @t131 @t163)))) % 0.48/1.01 (assume @p38 (forall @t169 (= @t168 (or @t139 @t167)))) % 0.48/1.01 (assume @p39 (forall @t173 (= @t172 (or @t147 @t171)))) % 0.48/1.01 (assume @p40 (forall @t177 (= @t176 (or @t155 @t175)))) % 0.48/1.01 (assume @p41 (forall @t181 (= (_ @t179 @t180) @t180))) % 0.48/1.01 (assume @p42 (forall @t185 (= (_ @t183 @t184) @t184))) % 0.48/1.01 (assume @p43 (forall (@list @t186) (not (_ @t187 tptp.bot_bo1943466239ecy_KS)))) % 0.48/1.01 (assume @p44 (forall (@list @t188) (not (_ @t189 tptp.bot_bo1124690338ecrets)))) % 0.48/1.01 (assume @p45 (forall (@list @t190) (not (_ @t191 tptp.bot_bo701486667y_Keys)))) % 0.48/1.01 (assume @p46 (forall (@list @t192) (not (_ @t193 tptp.bot_bo1785112429specID)))) % 0.48/1.01 (assume @p47 (forall (@list @t194) (not (_ @t195 tptp.bot_bo443197316chanID)))) % 0.48/1.01 (assume @p48 (forall @t201 (= (forall @t200 (not @t199)) @t196))) % 0.48/1.01 (assume @p49 (forall @t207 (= (forall @t206 (not @t205)) @t202))) % 0.48/1.01 (assume @p50 (forall @t213 (= (forall @t212 (not @t211)) @t208))) % 0.48/1.01 (assume @p51 (forall @t219 (= (forall @t218 (not @t217)) @t214))) % 0.48/1.01 (assume @p52 (forall @t225 (= (forall @t224 (not @t223)) @t220))) % 0.48/1.01 (assume @p53 (forall @t230 (= @t229 @t227))) % 0.48/1.01 (assume @p54 (forall @t236 (= @t235 @t233))) % 0.48/1.01 (assume @p55 (forall @t230 (= (= tptp.bot_bo1785112429specID @t228) @t227))) % 0.48/1.01 (assume @p56 (forall @t236 (= (= tptp.bot_bo443197316chanID @t234) @t233))) % 0.48/1.01 (assume @p57 (forall @t201 (= (exists @t200 @t199) @t237))) % 0.48/1.01 (assume @p58 (forall @t207 (= (exists @t206 @t205) @t238))) % 0.48/1.01 (assume @p59 (forall @t213 (= (exists @t212 @t211) @t239))) % 0.48/1.01 (assume @p60 (forall @t219 (= (exists @t218 @t217) @t240))) % 0.48/1.01 (assume @p61 (forall @t225 (= (exists @t224 @t223) @t241))) % 0.48/1.01 (assume @p62 (forall @t201 (=> (forall (@list @t242) (not @t243)) @t196))) % 0.48/1.01 (assume @p63 (forall @t207 (=> (forall (@list @t244) (not @t245)) @t202))) % 0.48/1.01 (assume @p64 (forall @t213 (=> (forall (@list @t246) (not @t247)) @t208))) % 0.48/1.01 (assume @p65 (forall @t219 (=> (forall (@list @t248) (not @t249)) @t214))) % 0.48/1.01 (assume @p66 (forall @t225 (=> (forall (@list @t250) (not @t251)) @t220))) % 0.48/1.01 (assume @p67 (forall (@list @t158 @t93) (=> @t196 @t252))) % 0.48/1.01 (assume @p68 (forall (@list @t170 @t98) (=> @t202 @t253))) % 0.48/1.01 (assume @p69 (forall (@list @t174 @t103) (=> @t208 @t254))) % 0.48/1.01 (assume @p70 (forall (@list @t166 @t108) (=> @t214 @t255))) % 0.48/1.01 (assume @p71 (forall (@list @t162 @t113) (=> @t220 @t256))) % 0.48/1.01 (assume @p72 (forall @t97 (not (_ @t96 tptp.bot_bo1943466239ecy_KS)))) % 0.48/1.01 (assume @p73 (forall @t102 (not (_ @t101 tptp.bot_bo1124690338ecrets)))) % 0.48/1.01 (assume @p74 (forall @t107 (not (_ @t106 tptp.bot_bo701486667y_Keys)))) % 0.48/1.01 (assume @p75 (forall @t112 (not (_ @t111 tptp.bot_bo1785112429specID)))) % 0.48/1.01 (assume @p76 (forall @t117 (not (_ @t116 tptp.bot_bo443197316chanID)))) % 0.48/1.01 (assume @p77 (forall @t259 (=> @t159 (exists @t258 (and (= @t158 (_ @t94 @t257)) (not (_ @t96 @t257))))))) % 0.48/1.01 (assume @p78 (forall @t262 (=> @t163 (exists @t261 (and (= @t162 (_ @t114 @t260)) (not (_ @t116 @t260))))))) % 0.48/1.01 (assume @p79 (forall @t265 (=> @t167 (exists @t264 (and (= @t166 (_ @t109 @t263)) (not (_ @t111 @t263))))))) % 0.48/1.01 (assume @p80 (forall @t268 (=> @t171 (exists @t267 (and (= @t170 (_ @t99 @t266)) (not (_ @t101 @t266))))))) % 0.48/1.01 (assume @p81 (forall @t271 (=> @t175 (exists @t270 (and (= @t174 (_ @t104 @t269)) (not (_ @t106 @t269))))))) % 0.48/1.01 (assume @p82 (forall (@list @t178 @t272 @t166) (= (_ @t179 (_ @t273 @t166)) (_ @t273 @t180)))) % 0.48/1.01 (assume @p83 (forall (@list @t182 @t274 @t162) (= (_ @t183 (_ @t275 @t162)) (_ @t275 @t184)))) % 0.48/1.01 (assume @p84 (forall (@list @t93 @t158 @t119 @t118) (=> @t252 (=> (not (_ @t277 @t118)) (= (= @t280 @t121) (and (=> @t123 @t279) (=> @t278 (exists (@list @t276) (and (= @t158 (_ @t120 @t276)) (not (_ @t277 @t276)) (= @t118 (_ @t94 @t276)) (not (_ @t96 @t276))))))))))) % 0.48/1.01 (assume @p85 (forall (@list @t113 @t162 @t127 @t126) (=> @t256 (=> (not (_ @t282 @t126)) (= (= @t285 @t129) (and (=> @t131 @t284) (=> @t283 (exists (@list @t281) (and (= @t162 (_ @t128 @t281)) (not (_ @t282 @t281)) (= @t126 (_ @t114 @t281)) (not (_ @t116 @t281))))))))))) % 0.48/1.01 (assume @p86 (forall (@list @t108 @t166 @t135 @t134) (=> @t255 (=> (not (_ @t287 @t134)) (= (= @t290 @t137) (and (=> @t139 @t289) (=> @t288 (exists (@list @t286) (and (= @t166 (_ @t136 @t286)) (not (_ @t287 @t286)) (= @t134 (_ @t109 @t286)) (not (_ @t111 @t286))))))))))) % 0.48/1.01 (assume @p87 (forall (@list @t98 @t170 @t143 @t142) (=> @t253 (=> (not (_ @t292 @t142)) (= (= @t295 @t145) (and (=> @t147 @t294) (=> @t293 (exists (@list @t291) (and (= @t170 (_ @t144 @t291)) (not (_ @t292 @t291)) (= @t142 (_ @t99 @t291)) (not (_ @t101 @t291))))))))))) % 0.48/1.01 (assume @p88 (forall (@list @t103 @t174 @t151 @t150) (=> @t254 (=> (not (_ @t297 @t150)) (= (= @t300 @t153) (and (=> @t155 @t299) (=> @t298 (exists (@list @t296) (and (= @t174 (_ @t152 @t296)) (not (_ @t297 @t296)) (= @t150 (_ @t104 @t296)) (not (_ @t106 @t296))))))))))) % 0.48/1.01 (assume @p89 (forall @t259 (=> @t159 (= @t280 @t158)))) % 0.48/1.01 (assume @p90 (forall @t262 (=> @t163 (= @t285 @t162)))) % 0.48/1.01 (assume @p91 (forall @t265 (=> @t167 (= @t290 @t166)))) % 0.48/1.01 (assume @p92 (forall @t268 (=> @t171 (= @t295 @t170)))) % 0.48/1.01 (assume @p93 (forall @t271 (=> @t175 (= @t300 @t174)))) % 0.48/1.01 (assume @p94 (forall @t305 (=> (not @t304) (=> (not (_ @t303 @t118)) (= (= (_ @t302 @t158) (_ @t302 @t118)) @t279))))) % 0.48/1.01 (assume @p95 (forall @t308 (=> (not @t307) (=> (not (_ @t306 @t126)) (= (= @t184 (_ @t183 @t126)) @t284))))) % 0.48/1.01 (assume @p96 (forall @t311 (=> (not @t310) (=> (not (_ @t309 @t134)) (= (= @t180 (_ @t179 @t134)) @t289))))) % 0.48/1.01 (assume @p97 (forall (@list @t312 @t170 @t142) (=> (not @t315) (=> (not (_ @t314 @t142)) (= (= (_ @t313 @t170) (_ @t313 @t142)) @t294))))) % 0.48/1.01 (assume @p98 (forall (@list @t316 @t174 @t150) (=> (not @t319) (=> (not (_ @t318 @t150)) (= (= (_ @t317 @t174) (_ @t317 @t150)) @t299))))) % 0.48/1.01 (assume @p99 (forall (@list @t301 @t158) (=> @t304 (not (forall @t258 (=> (= @t158 (_ @t302 @t257)) (_ @t303 @t257))))))) % 0.48/1.01 (assume @p100 (forall @t185 (=> @t307 (not (forall @t261 (=> (= @t162 (_ @t183 @t260)) (_ @t306 @t260))))))) % 0.48/1.01 (assume @p101 (forall @t181 (=> @t310 (not (forall @t264 (=> (= @t166 (_ @t179 @t263)) (_ @t309 @t263))))))) % 0.48/1.01 (assume @p102 (forall (@list @t312 @t170) (=> @t315 (not (forall @t267 (=> (= @t170 (_ @t313 @t266)) (_ @t314 @t266))))))) % 0.48/1.01 (assume @p103 (forall (@list @t316 @t174) (=> @t319 (not (forall @t270 (=> (= @t174 (_ @t317 @t269)) (_ @t318 @t269))))))) % 0.48/1.01 (assume @p104 (forall (@list @t93 @t320) (= (_ @t96 (_ tptp.collect_Secrecy_KS @t320)) (_ @t320 @t93)))) % 0.48/1.01 (assume @p105 (forall (@list @t113 @t231) (= (_ @t116 @t234) (_ @t231 @t113)))) % 0.48/1.01 (assume @p106 (forall (@list @t108 @t226) (= (_ @t111 @t228) (_ @t226 @t108)))) % 0.48/1.01 (assume @p107 (forall (@list @t98 @t321) (= (_ @t101 (_ tptp.collec836099393ecrets @t321)) (_ @t321 @t98)))) % 0.48/1.01 (assume @p108 (forall (@list @t103 @t322) (= (_ @t106 (_ tptp.collect_Secrecy_Keys @t322)) (_ @t322 @t103)))) % 0.48/1.01 (assume @p109 (forall @t201 (= (_ tptp.collect_Secrecy_KS (lambda @t200 @t199)) @t158))) % 0.48/1.01 (assume @p110 (forall @t225 (= (_ tptp.collec625564175chanID (lambda @t224 @t223)) @t162))) % 0.48/1.01 (assume @p111 (forall @t219 (= (_ tptp.collec1545797240specID (lambda @t218 @t217)) @t166))) % 0.48/1.01 (assume @p112 (forall @t207 (= (_ tptp.collec836099393ecrets (lambda @t206 @t205)) @t170))) % 0.48/1.01 (assume @p113 (forall @t213 (= (_ tptp.collect_Secrecy_Keys (lambda @t212 @t211)) @t174))) % 0.48/1.01 (assume @p114 (forall @t125 (=> @t124 @t122))) % 0.48/1.01 (assume @p115 (forall @t133 (=> @t132 @t130))) % 0.48/1.01 (assume @p116 (forall @t141 (=> @t140 @t138))) % 0.48/1.01 (assume @p117 (forall @t149 (=> @t148 @t146))) % 0.48/1.01 (assume @p118 (forall @t157 (=> @t156 @t154))) % 0.48/1.01 (assume @p119 (forall (@list @t93 @t118) (_ @t96 @t323))) % 0.48/1.01 (assume @p120 (forall (@list @t113 @t126) (_ @t116 @t324))) % 0.48/1.01 (assume @p121 (forall (@list @t108 @t134) (_ @t111 @t325))) % 0.48/1.01 (assume @p122 (forall (@list @t98 @t142) (_ @t101 (_ @t99 @t142)))) % 0.48/1.01 (assume @p123 (forall (@list @t103 @t150) (_ @t106 (_ @t104 @t150)))) % 0.48/1.01 (assume @p124 (forall @t161 (=> @t160 (=> @t278 @t159)))) % 0.48/1.01 (assume @p125 (forall @t165 (=> @t164 (=> @t283 @t163)))) % 0.48/1.01 (assume @p126 (forall @t169 (=> @t168 (=> @t288 @t167)))) % 0.48/1.01 (assume @p127 (forall @t173 (=> @t172 (=> @t293 @t171)))) % 0.48/1.01 (assume @p128 (forall @t177 (=> @t176 (=> @t298 @t175)))) % 0.48/1.01 (assume @p129 (forall (@list @t108 @t135) (=> (= @t110 @t326) @t139))) % 0.48/1.01 (assume @p130 (forall (@list @t113 @t127) (=> (= @t115 @t327) @t131))) % 0.48/1.01 (assume @p131 (forall @t265 (not (= @t290 tptp.bot_bo1785112429specID)))) % 0.48/1.01 (assume @p132 (forall @t262 (not (= @t285 tptp.bot_bo443197316chanID)))) % 0.48/1.01 (assume @p133 (forall (@list @t108 @t135 @t192 @t328) (= (= (_ @t109 @t326) (_ (_ tptp.insert1671894227specID @t192) (_ (_ tptp.insert1671894227specID @t328) tptp.bot_bo1785112429specID))) (or (and (= @t108 @t192) (= @t135 @t328)) (and (= @t108 @t328) (= @t135 @t192)))))) % 0.48/1.01 (assume @p134 (forall (@list @t113 @t127 @t194 @t329) (= (= (_ @t114 @t327) (_ (_ tptp.insert751661162chanID @t194) (_ (_ tptp.insert751661162chanID @t329) tptp.bot_bo443197316chanID))) (or (and (= @t113 @t194) (= @t127 @t329)) (and (= @t113 @t329) (= @t127 @t194)))))) % 0.48/1.01 (assume @p135 (forall @t332 (= @t331 @t330))) % 0.48/1.01 (assume @p136 (forall @t335 (= @t334 @t333))) % 0.48/1.01 (assume @p137 (forall @t338 (= @t337 @t336))) % 0.48/1.01 (assume @p138 (forall @t341 (= @t340 @t339))) % 0.48/1.01 (assume @p139 (forall @t344 (= @t343 @t342))) % 0.48/1.01 (assume @p140 (forall @t332 (=> @t331 @t330))) % 0.48/1.01 (assume @p141 (forall @t335 (=> @t334 @t333))) % 0.48/1.01 (assume @p142 (forall @t338 (=> @t337 @t336))) % 0.48/1.01 (assume @p143 (forall @t341 (=> @t340 @t339))) % 0.48/1.01 (assume @p144 (forall @t344 (=> @t343 @t342))) % 0.48/1.01 (assume @p145 (forall @t346 (= (_ tptp.the_el827131246specID @t345) @t178))) % 0.48/1.01 (assume @p146 (forall @t348 (= (_ tptp.the_el2054381829chanID @t347) @t182))) % 0.48/1.01 (assume @p147 (forall @t346 (_ tptp.is_sin1501507247specID @t345))) % 0.48/1.01 (assume @p148 (forall @t348 (_ tptp.is_sin581274182chanID @t347))) % 0.48/1.01 (assume @p149 (forall @t92 (=> @t86 (=> @t63 (=> @t79 (=> @t350 @t87)))))) % 0.48/1.01 (assume @p150 (forall @t359 (=> @t358 (=> @t355 (=> @t63 (=> @t79 @t353)))))) % 0.48/1.01 (assume @p151 (forall @t361 (=> @t352 (=> @t63 (=> @t79 @t360))))) % 0.48/1.01 (assume @p152 (forall @t367 (=> @t63 (=> @t79 (=> (_ @t306 @t366) (or @t365 @t363)))))) % 0.48/1.01 (assume @p153 (forall @t373 (=> @t63 (=> @t79 (=> @t372 (or @t371 @t370)))))) % 0.48/1.01 (assume @p154 (= tptp.bot_bo1785112429specID (_ tptp.collec1545797240specID tptp.bot_bo1767780696ecID_o))) % 0.48/1.01 (assume @p155 (= tptp.bot_bo443197316chanID (_ tptp.collec625564175chanID tptp.bot_bo1012329985anID_o))) % 0.48/1.01 (assume @p156 (forall @t374 (=> @t357 @t85))) % 0.48/1.01 (assume @p157 (forall @t375 (=> @t91 @t358))) % 0.48/1.01 (assume @p158 (forall @t373 (=> @t63 (=> @t79 (=> (not @t376) (=> @t371 @t372)))))) % 0.48/1.01 (assume @p159 (forall @t201 (=> @t237 (=> (forall (@list @t377 @t242) (=> (_ (_ tptp.member_Secrecy_KS @t377) @t158) (=> @t243 (= @t377 @t242)))) (_ tptp.is_sin1442426433ecy_KS @t158))))) % 0.48/1.01 (assume @p160 (forall @t207 (=> @t238 (=> (forall (@list @t378 @t244) (=> (_ (_ tptp.member2138796287ecrets @t378) @t170) (=> @t245 (= @t378 @t244)))) (_ tptp.is_sin1002224330ecrets @t170))))) % 0.48/1.01 (assume @p161 (forall @t213 (=> @t239 (=> (forall (@list @t379 @t246) (=> (_ (_ tptp.member_Secrecy_Keys @t379) @t174) (=> @t247 (= @t379 @t246)))) (_ tptp.is_sin1096471309y_Keys @t174))))) % 0.48/1.01 (assume @p162 (forall @t219 (=> @t240 (=> (forall (@list @t381 @t248) (=> (_ @t382 @t166) (=> @t249 (= @t381 @t248)))) @t380)))) % 0.48/1.01 (assume @p163 (forall @t225 (=> @t241 (=> (forall (@list @t384 @t250) (=> (_ @t385 @t162) (=> @t251 (= @t384 @t250)))) @t383)))) % 0.48/1.01 (assume @p164 (forall @t219 (=> @t380 (not (forall @t386 (not (= @t166 (_ (_ tptp.insert1671894227specID @t381) tptp.bot_bo1785112429specID)))))))) % 0.48/1.01 (assume @p165 (forall @t225 (=> @t383 (not (forall @t387 (not (= @t162 (_ (_ tptp.insert751661162chanID @t384) tptp.bot_bo443197316chanID)))))))) % 0.48/1.01 (assume @p166 (= tptp.is_sin1501507247specID (lambda @t389 (exists @t218 (= @t388 (_ (_ tptp.insert1671894227specID @t215) tptp.bot_bo1785112429specID)))))) % 0.48/1.01 (assume @p167 (= tptp.is_sin581274182chanID (lambda @t391 (exists @t224 (= @t390 (_ (_ tptp.insert751661162chanID @t221) tptp.bot_bo443197316chanID)))))) % 0.48/1.01 (assume @p168 (forall @t346 (=> (_ tptp.correc965049635ionLoc @t178) (=> (= (_ tptp.subcomponents @t178) tptp.bot_bo1785112429specID) (= (_ tptp.loc @t178) tptp.bot_bo443197316chanID))))) % 0.48/1.01 (assume @p169 (forall @t359 (=> @t357 (=> @t355 (=> @t63 (=> @t79 (=> (exists @t398 (and @t397 @t395 @t394)) @t353))))))) % 0.48/1.01 (assume @p170 (forall @t92 (=> @t85 (=> @t90 (=> @t63 (=> @t79 (=> (exists @t398 (and @t397 @t394)) @t89))))))) % 0.48/1.01 (assume @p171 (forall @t404 (=> @t355 (=> @t63 (=> @t79 (=> @t403 (=> @t401 @t353))))))) % 0.48/1.01 (assume @p172 (forall @t411 (=> @t63 (=> @t79 (=> @t410 (=> @t409 (=> @t408 (=> @t406 @t353)))))))) % 0.48/1.01 (assume @p173 (forall @t412 (=> @t90 (=> @t63 (=> @t79 (=> @t403 (=> @t401 @t89))))))) % 0.48/1.01 (assume @p174 (forall @t413 (=> @t63 (=> @t79 (=> @t410 (=> @t409 (=> @t408 (=> @t406 @t89)))))))) % 0.48/1.01 (assume @p175 (forall @t417 (=> @t416 @t415))) % 0.48/1.01 (assume @p176 (forall @t417 (=> @t415 @t416))) % 0.48/1.01 (assume @p177 (forall @t419 (=> @t403 (=> @t418 @t91)))) % 0.48/1.01 (assume @p178 (forall @t419 (=> @t403 (=> (not @t418) @t85)))) % 0.48/1.01 (assume @p179 (forall @t359 (=> @t360 (=> @t63 (=> @t79 (=> (exists @t398 (and @t424 @t395 @t421 @t420)) @t352)))))) % 0.48/1.01 (assume @p180 (forall @t425 (=> @t357 (=> @t63 (=> @t79 (=> (exists @t398 (and @t422 @t421 @t420 @t395)) @t352)))))) % 0.48/1.01 (assume @p181 (forall @t92 (=> @t86 (=> @t63 (=> @t79 (=> (exists @t398 (and @t424 @t421 @t420)) @t87)))))) % 0.48/1.01 (assume @p182 (forall @t426 (=> @t85 (=> @t63 (=> @t79 (=> (exists @t398 (and @t423 @t421 @t420)) @t87)))))) % 0.48/1.01 (assume @p183 (forall (@list @t38 @t428 @t182) (=> (not (_ @t39 @t428)) (=> (_ @t429 @t428) @t427)))) % 0.48/1.01 (assume @p184 (forall (@list @t368 @t351 @t38 @t83) (=> @t432 (=> @t371 (=> @t431 @t357))))) % 0.48/1.01 (assume @p185 (forall (@list @t182 @t434 @t38 @t41) (=> (_ @t429 @t435) (=> (not (_ @t39 @t435)) (=> (not (_ @t52 @t435)) @t433))))) % 0.48/1.01 (assume @p186 (forall (@list @t56 @t38 @t41 @t368 @t428) (=> @t63 (=> @t79 (=> @t371 (=> (_ @t430 @t428) (=> (forall @t387 (=> (_ @t385 @t366) (not (_ (_ tptp.exprChannel @t384) @t428)))) @t376))))))) % 0.48/1.01 (assume @p187 (forall (@list @t38 @t351 @t83 @t41 @t56 @t368) (=> @t358 (=> @t355 (=> @t63 (=> @t79 (=> @t432 (=> @t372 (not @t431))))))))) % 0.48/1.01 (assume @p188 (forall @t230 (= @t229 (= @t226 tptp.bot_bo1767780696ecID_o)))) % 0.48/1.01 (assume @p189 (forall @t236 (= @t235 (= @t231 tptp.bot_bo1012329985anID_o)))) % 0.48/1.01 (assume @p190 (forall (@list @t76 @t38 @t368) (=> (not (_ @t438 @t48)) (=> @t439 (=> (not (_ @t438 @t437)) @t436))))) % 0.48/1.01 (assume @p191 (forall @t445 (=> @t63 (=> @t444 (=> @t443 (=> @t371 @t442)))))) % 0.48/1.01 (assume @p192 (forall @t445 (=> @t63 (=> @t444 (=> @t443 (=> @t370 @t442)))))) % 0.48/1.01 (assume @p193 (forall @t453 (=> @t63 (=> @t444 (=> @t452 @t450))))) % 0.48/1.01 (assume @p194 (forall @t453 (=> @t63 (=> @t444 (=> @t452 @t455))))) % 0.48/1.01 (assume @p195 (forall @t453 (=> @t63 (=> @t444 (=> @t455 (=> @t450 @t452)))))) % 0.48/1.01 (assume @p196 (forall @t453 (=> @t63 (=> @t444 (=> @t451 (or @t454 @t449)))))) % 0.48/1.01 (assume @p197 (forall @t462 (=> @t461 (=> @t460 (=> @t458 @t457))))) % 0.48/1.01 (assume @p198 (forall @t462 (=> @t461 (=> @t460 (=> @t463 @t457))))) % 0.48/1.01 (assume @p199 (forall @t462 (=> @t461 (=> @t460 (=> (or @t463 @t458) @t457))))) % 0.48/1.01 (assume @p200 (forall @t445 (=> @t63 (=> @t444 (=> @t443 (=> @t370 @t468)))))) % 0.48/1.01 (assume @p201 (forall @t445 (=> @t63 (=> @t444 (=> @t443 (=> @t371 @t468)))))) % 0.48/1.01 (assume @p202 (forall (@list @t56 @t38 @t41 @t27) (=> @t63 (=> @t57 (=> @t444 (=> (not (_ @t29 @t437)) (=> (not (_ @t29 @t446)) (=> (not (_ @t39 @t30)) (=> (not (_ @t52 @t30)) (=> (not (_ @t29 @t469)) (not (_ @t29 @t65)))))))))))) % 0.48/1.01 (assume @p203 (forall @t478 (=> @t63 (=> @t444 (=> @t477 (=> @t370 @t476)))))) % 0.48/1.01 (assume @p204 (forall @t478 (=> @t63 (=> @t444 (=> @t477 (=> @t371 @t476)))))) % 0.48/1.01 (assume @p205 (forall @t478 (=> @t63 (=> @t444 (=> @t477 (=> @t370 @t479)))))) % 0.48/1.01 (assume @p206 (forall @t478 (=> @t63 (=> @t444 (=> @t477 (=> @t371 @t479)))))) % 0.48/1.01 (assume @p207 (forall @t485 (= @t484 (or @t481 @t480)))) % 0.48/1.01 (assume @p208 (forall @t489 (= @t488 (or @t487 @t486)))) % 0.48/1.01 (assume @p209 (forall @t493 (= @t492 (or @t491 @t490)))) % 0.48/1.01 (assume @p210 (forall @t499 (= @t498 (or @t495 @t494)))) % 0.48/1.01 (assume @p211 (forall @t505 (= @t504 (or @t501 @t500)))) % 0.48/1.01 (assume @p212 (forall @t506 (=> (=> (not @t480) @t481) @t484))) % 0.48/1.01 (assume @p213 (forall @t507 (=> (=> (not @t486) @t487) @t488))) % 0.48/1.01 (assume @p214 (forall @t508 (=> (=> (not @t490) @t491) @t492))) % 0.48/1.01 (assume @p215 (forall @t509 (=> (=> (not @t494) @t495) @t498))) % 0.48/1.01 (assume @p216 (forall @t510 (=> (=> (not @t500) @t501) @t504))) % 0.48/1.01 (assume @p217 (forall @t515 (= (= @t514 (_ tptp.secrecy_kKS @t511)) @t513))) % 0.48/1.01 (assume @p218 (forall @t515 (= (= @t516 (_ tptp.secrecy_kE @t511)) @t513))) % 0.48/1.01 (assume @p219 (forall @t518 (= (= @t497 tptp.bot_bo1943466239ecy_KS) (and @t196 @t517)))) % 0.48/1.01 (assume @p220 (forall (@list @t166 @t134) (= (= @t483 tptp.bot_bo1785112429specID) (and @t214 @t519)))) % 0.48/1.01 (assume @p221 (forall @t521 (= (= @t503 tptp.bot_bo443197316chanID) (and @t220 @t520)))) % 0.48/1.01 (assume @p222 (forall (@list @t108 @t134 @t522) (= (_ (_ tptp.sup_su1712599557specID @t325) @t522) (_ @t109 (_ (_ tptp.sup_su1712599557specID @t134) @t522))))) % 0.48/1.01 (assume @p223 (forall (@list @t93 @t118 @t523) (= (_ (_ tptp.sup_su1301156759ecy_KS @t323) @t523) (_ @t94 @t525)))) % 0.48/1.01 (assume @p224 (forall (@list @t113 @t126 @t526) (= (_ (_ tptp.sup_su370684444chanID @t324) @t526) (_ @t114 @t528)))) % 0.48/1.01 (assume @p225 (forall (@list @t166 @t108 @t134) (= (_ @t482 @t325) (_ @t109 @t483)))) % 0.48/1.01 (assume @p226 (forall (@list @t158 @t93 @t118) (= (_ @t496 @t323) (_ @t94 @t497)))) % 0.48/1.01 (assume @p227 (forall (@list @t162 @t113 @t126) (= (_ @t502 @t324) (_ @t114 @t503)))) % 0.48/1.01 (assume @p228 (forall @t535 (=> @t534 (not @t531)))) % 0.48/1.01 (assume @p229 (forall @t201 (= (_ @t496 tptp.bot_bo1943466239ecy_KS) @t158))) % 0.48/1.01 (assume @p230 (forall @t219 (= (_ @t482 tptp.bot_bo1785112429specID) @t166))) % 0.48/1.01 (assume @p231 (forall @t225 (= (_ @t502 tptp.bot_bo443197316chanID) @t162))) % 0.48/1.01 (assume @p232 (forall (@list @t118) (= (_ @t536 @t118) @t118))) % 0.48/1.01 (assume @p233 (forall (@list @t134) (= (_ @t537 @t134) @t134))) % 0.48/1.01 (assume @p234 (forall (@list @t126) (= (_ @t538 @t126) @t126))) % 0.48/1.01 (assume @p235 (forall (@list @t529) (= (_ tptp.secrec1016742679ession @t532) @t530))) % 0.48/1.01 (assume @p236 (forall @t540 (= @t539 (_ @t524 (_ @t496 @t523))))) % 0.48/1.01 (assume @p237 (forall @t542 (= @t541 (_ @t527 (_ @t502 @t526))))) % 0.48/1.01 (assume @p238 (forall @t518 (= (_ @t496 @t497) @t497))) % 0.48/1.01 (assume @p239 (forall @t521 (= (_ @t502 @t503) @t503))) % 0.48/1.01 (assume @p240 (= tptp.sup_su1301156759ecy_KS (lambda (@list @t543 @t544) (_ (_ tptp.sup_su1301156759ecy_KS @t544) @t543)))) % 0.48/1.01 (assume @p241 (= tptp.sup_su370684444chanID (lambda (@list @t390 @t545) (_ (_ tptp.sup_su370684444chanID @t545) @t390)))) % 0.48/1.01 (assume @p242 (forall @t201 (= (_ @t496 @t158) @t158))) % 0.48/1.01 (assume @p243 (forall @t225 (= (_ @t502 @t162) @t162))) % 0.48/1.01 (assume @p244 (forall @t540 (= (_ (_ tptp.sup_su1301156759ecy_KS @t497) @t523) @t539))) % 0.48/1.01 (assume @p245 (forall @t542 (= (_ (_ tptp.sup_su370684444chanID @t503) @t526) @t541))) % 0.48/1.01 (assume @p246 (forall @t549 (= (forall @t200 (=> @t548 @t546)) (and (forall @t200 (=> @t199 @t546)) (forall @t200 (=> @t547 @t546)))))) % 0.48/1.01 (assume @p247 (forall @t552 (= (forall @t224 (=> @t551 @t232)) (and (forall @t224 (=> @t223 @t232)) (forall @t224 (=> @t550 @t232)))))) % 0.48/1.01 (assume @p248 (forall @t549 (= (exists @t200 (and @t548 @t546)) (or (exists @t200 (and @t199 @t546)) (exists @t200 (and @t547 @t546)))))) % 0.48/1.01 (assume @p249 (forall @t552 (= (exists @t224 (and @t551 @t232)) (or (exists @t224 (and @t223 @t232)) (exists @t224 (and @t550 @t232)))))) % 0.48/1.01 (assume @p250 (forall @t506 (=> @t480 @t484))) % 0.48/1.01 (assume @p251 (forall @t507 (=> @t486 @t488))) % 0.48/1.01 (assume @p252 (forall @t508 (=> @t490 @t492))) % 0.48/1.01 (assume @p253 (forall @t509 (=> @t494 @t498))) % 0.48/1.01 (assume @p254 (forall @t510 (=> @t500 @t504))) % 0.48/1.01 (assume @p255 (forall @t485 (=> @t481 @t484))) % 0.48/1.01 (assume @p256 (forall @t489 (=> @t487 @t488))) % 0.48/1.01 (assume @p257 (forall @t493 (=> @t491 @t492))) % 0.48/1.01 (assume @p258 (forall @t499 (=> @t495 @t498))) % 0.48/1.01 (assume @p259 (forall @t505 (=> @t501 @t504))) % 0.48/1.01 (assume @p260 (forall @t485 (=> @t484 (=> (not @t481) @t480)))) % 0.48/1.01 (assume @p261 (forall @t489 (=> @t488 (=> (not @t487) @t486)))) % 0.48/1.01 (assume @p262 (forall @t493 (=> @t492 (=> (not @t491) @t490)))) % 0.48/1.01 (assume @p263 (forall @t499 (=> @t498 (=> (not @t495) @t494)))) % 0.48/1.01 (assume @p264 (forall @t505 (=> @t504 (=> (not @t501) @t500)))) % 0.48/1.01 (assume @p265 (forall (@list @t554) (=> (forall (@list @t555) (not (= @t554 (_ tptp.secrecy_kKS @t555)))) (not (forall (@list @t553) (not (= @t554 (_ tptp.secrecy_sKS @t553)))))))) % 0.48/1.01 (assume @p266 (forall (@list @t320 @t556) (=> (forall (@list @t379) (_ @t320 (_ tptp.secrecy_kKS @t379))) (=> (forall (@list @t378) (_ @t320 (_ tptp.secrecy_sKS @t378))) (_ @t320 @t556))))) % 0.48/1.01 (assume @p267 (forall @t557 (not (= @t514 @t21)))) % 0.48/1.01 (assume @p268 (forall @t557 (not (= @t516 @t75)))) % 0.48/1.01 (assume @p269 (forall @t535 (= @t533 (or @t531 (_ @t558 @t26))))) % 0.48/1.01 (assume @p270 (= tptp.insert_Secrecy_KS (lambda (@list @t560 @t559) (_ (_ tptp.sup_su1301156759ecy_KS (_ (_ tptp.insert_Secrecy_KS @t560) tptp.bot_bo1943466239ecy_KS)) @t559)))) % 0.48/1.01 (assume @p271 (= tptp.insert1671894227specID (lambda (@list @t562 @t561) (_ (_ tptp.sup_su1712599557specID (_ (_ tptp.insert1671894227specID @t562) tptp.bot_bo1785112429specID)) @t561)))) % 0.48/1.01 (assume @p272 (= tptp.insert751661162chanID (lambda (@list @t564 @t563) (_ (_ tptp.sup_su370684444chanID (_ (_ tptp.insert751661162chanID @t564) tptp.bot_bo443197316chanID)) @t563)))) % 0.48/1.01 (assume @p273 (forall (@list @t158 @t118 @t301) (= (= @t497 @t565) @t568))) % 0.48/1.01 (assume @p274 (forall (@list @t166 @t134 @t178) (= (= @t483 @t345) @t571))) % 0.48/1.01 (assume @p275 (forall (@list @t162 @t126 @t182) (= (= @t503 @t347) @t574))) % 0.48/1.01 (assume @p276 (forall @t305 (= (= @t565 @t497) @t568))) % 0.48/1.01 (assume @p277 (forall @t311 (= (= @t345 @t483) @t571))) % 0.48/1.01 (assume @p278 (forall @t308 (= (= @t347 @t503) @t574))) % 0.48/1.01 (assume @p279 (forall (@list @t470 @t38 @t368) (=> (not (_ @t473 @t48)) (=> @t475 (=> (not (_ @t473 @t437)) @t436))))) % 0.48/1.01 (assume @p280 (forall (@list @t56 @t38 @t41 @t529) (=> @t63 (=> @t57 (=> @t444 (=> (not (_ @t558 @t437)) (=> (not (_ @t558 @t446)) (=> (not (_ @t39 @t530)) (=> (not (_ @t52 @t530)) (=> (not (_ @t558 @t469)) (not (_ @t558 @t65)))))))))))) % 0.48/1.01 (assume @p281 (forall (@list @t38 @t470 @t41 @t56) (=> (not (_ @t82 @t472)) (=> (not (_ @t81 @t472)) (=> @t63 (=> @t79 (not (_ @t78 @t471)))))))) % 0.48/1.01 (assume @p282 (forall @t583 (=> @t582 (=> @t63 (=> @t57 (=> (not @t581) (=> @t580 (=> @t579 @t577)))))))) % 0.48/1.01 (assume @p283 (forall @t583 (=> @t582 (=> @t63 (=> @t57 (=> (not @t577) (=> @t580 (=> @t579 @t581)))))))) % 0.48/1.01 (assume @p284 (forall (@list @t56 @t38 @t41 @t584) (=> @t63 (=> @t57 (=> @t588 (=> @t587 (=> (not (_ @t585 @t48)) (=> (not (_ @t585 @t42)) (not (_ @t585 @t65)))))))))) % 0.48/1.01 (assume @p285 (forall (@list @t182 @t584 @t38 @t41) (=> (_ @t429 @t586) (=> @t588 (=> @t587 @t433))))) % 0.48/1.01 (assume @p286 (forall @t453 (=> @t63 (=> @t57 (=> @t444 (=> @t455 (=> @t450 (=> @t595 (=> @t592 (=> (not (_ 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@t606))) % 0.48/1.01 (assume @p298 (forall @t612 (= (= @t611 tptp.bot_bo1785112429specID) @t610))) % 0.48/1.01 (assume @p299 (forall @t616 (= (= @t615 tptp.bot_bo443197316chanID) @t614))) % 0.48/1.01 (assume @p300 (forall (@list @t617) (= (_ (_ tptp.sup_su1712599557specID @t617) tptp.bot_bo1785112429specID) @t617))) % 0.48/1.01 (assume @p301 (forall (@list @t618) (= (_ (_ tptp.sup_su370684444chanID @t618) tptp.bot_bo443197316chanID) @t618))) % 0.48/1.01 (assume @p302 (forall (@list @t38 @t162 @t83 @t126) (=> (_ (_ @t356 @t162) @t83) (_ (_ @t356 @t503) @t83)))) % 0.48/1.01 (assume @p303 (forall @t92 (=> @t624 (=> @t63 (=> @t620 (=> @t350 @t619)))))) % 0.48/1.01 (assume @p304 (forall @t633 (=> @t632 (=> @t631 (=> (_ @t628 (_ tptp.specSecrets @t178)) @t629))))) % 0.48/1.01 (assume @p305 (forall @t88 (=> @t619 (=> @t63 (=> @t620 @t624))))) % 0.48/1.01 (assume @p306 (forall @t633 (=> @t632 (=> @t631 (=> @t629 (exists @t386 (and @t634 (_ @t628 (_ tptp.specSecrets @t381))))))))) % 0.48/1.01 (assume @p307 (forall @t92 (=> @t623 (=> @t638 (=> @t63 (=> @t620 (=> (exists @t398 (and @t637 @t394)) @t635))))))) % 0.48/1.01 (assume @p308 (forall @t412 (=> @t638 (=> @t63 (=> @t620 (=> @t640 (=> @t401 @t635))))))) % 0.48/1.01 (assume @p309 (forall @t413 (=> @t63 (=> @t620 (=> @t642 (=> @t641 (=> @t408 (=> @t406 @t635)))))))) % 0.48/1.01 (assume @p310 (forall @t417 (=> @t644 @t643))) % 0.48/1.01 (assume @p311 (forall @t417 (=> @t643 @t644))) % 0.48/1.01 (assume @p312 (forall @t411 (=> @t63 (=> @t620 (=> @t642 (=> @t641 (=> (= @t351 (_ (_ tptp.sup_su370684444chanID @t407) @t405)) (=> @t408 (=> @t406 @t646))))))))) % 0.48/1.01 (assume @p313 (forall @t653 (=> @t652 (=> @t650 (=> @t648 @t34))))) % 0.48/1.01 (assume @p314 (forall @t660 (=> @t659 (=> @t657 @t655)))) % 0.48/1.01 (assume @p315 (forall @t374 (=> @t661 @t623))) % 0.48/1.01 (assume @p316 (forall @t375 (=> (not @t623) (not @t661)))) % 0.48/1.01 (assume @p317 (forall @t361 (=> @t645 (=> @t63 (=> @t620 @t663))))) % 0.48/1.01 (assume @p318 (forall @t404 (=> @t664 (=> @t63 (=> @t620 (=> @t640 (=> @t401 @t646))))))) % 0.48/1.01 (assume @p319 (forall @t359 (=> @t661 (=> @t664 (=> @t63 (=> @t620 (=> (exists @t398 (and @t637 @t395 @t394)) @t646))))))) % 0.48/1.01 (assume @p320 (forall @t660 (= @t659 (= @t657 @t655)))) % 0.48/1.01 (assume @p321 (forall @t653 (=> @t652 (=> @t74 (=> @t648 (not @t650)))))) % 0.48/1.01 (assume @p322 (forall @t425 (=> @t661 (=> @t63 (=> @t620 (=> (exists @t398 (and @t666 @t421 @t420 @t395)) @t645)))))) % 0.48/1.01 (assume @p323 (forall @t359 (=> @t663 (=> @t63 (=> @t620 (=> (exists @t398 (and @t669 @t395 @t421 @t420)) @t645)))))) % 0.48/1.01 (assume @p324 (forall @t426 (=> @t623 (=> @t63 (=> @t620 (=> (exists @t398 (and @t668 @t421 @t420)) @t619)))))) % 0.48/1.01 (assume @p325 (forall @t367 (=> @t63 (=> @t620 (=> (_ @t306 (_ tptp.out @t56)) (or (_ @t306 @t667) (_ @t306 @t665))))))) % 0.48/1.01 (assume @p326 (forall @t92 (=> @t624 (=> @t63 (=> @t620 (=> (exists @t398 (and @t669 @t421 @t420)) @t619)))))) % 0.48/1.01 (assume @p327 (forall @t675 (= @t674 (= @t673 @t672)))) % 0.48/1.01 (assume @p328 (forall @t679 (=> @t632 (=> @t631 (=> @t678 (exists @t386 (and @t634 (_ @t677 (_ tptp.specKeys @t381))))))))) % 0.48/1.01 (assume @p329 (forall @t679 (=> @t632 (=> @t631 (=> (_ @t677 (_ tptp.specKeys @t178)) @t678))))) % 0.48/1.01 (assume @p330 (forall @t683 (=> @t682 (=> @t681 (=> @t680 @t533))))) % 0.48/1.01 (assume @p331 (forall @t675 (=> @t674 (=> @t673 @t672)))) % 0.48/1.01 (assume @p332 (forall @t683 (=> @t682 (=> @t534 (=> @t680 (not @t681)))))) % 0.48/1.01 (assume @p333 (forall (@list @t38 @t25 @t27) (=> @t684 (=> @t74 (not (_ @t622 @t30)))))) % 0.48/1.01 (assume @p334 (forall (@list @t38 @t25 @t529) (=> @t684 (=> @t534 (not (_ @t622 @t530)))))) % 0.48/1.01 (assume @p335 (not (not @t686))) % 0.48/1.01 (assume @p336 true) % 0.48/1.01 (step @p337 (= tptp.is_emp1849217361specID @t687) :rule refl :args (@t687)) % 0.48/1.01 (step @p338 (= tptp.is_emp928984296chanID 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@p380 :rule ho_cong :premises (@p379 @p374)) % 0.48/1.01 (step @p381 :rule trans :premises (@p380 @p370)) % 0.48/1.01 (step @p382 :rule refl :args ((tptp.member_Secrecy_KS @t43 @t48))) % 0.48/1.01 (step @p383 :rule refl :args (@t751)) % 0.48/1.01 (step @p384 :rule cong :premises (@p361 @p383) :args (@t752)) % 0.48/1.01 (step @p385 :rule trans :premises (@p384 @p382)) % 0.48/1.01 (step @p386 :rule ho_cong :premises (@p365 @p383)) % 0.48/1.01 (step @p387 :rule cong :premises (@p386 @p385) :args ((= (_ @t750 @t751) @t752))) % 0.48/1.01 (step @p388 :rule symm :premises (@p387)) % 0.48/1.01 (step @p389 :rule refl :args (@t49)) % 0.48/1.01 (step @p390 :rule eq_resolve :premises (@p389 @p388)) % 0.48/1.01 (step @p391 :rule refl :args (@t48)) % 0.48/1.01 (step @p392 :rule cong :premises (@p391 @p383) :args ((= @t48 @t751))) % 0.48/1.01 (step @p393 :rule symm :premises (@p392)) % 0.48/1.01 (step @p394 :rule eq_resolve :premises (@p391 @p393)) % 0.48/1.01 (step @p395 :rule ho_cong :premises 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0.48/1.01 (step @p704 :rule trans :premises (@p703 @p701)) % 0.48/1.01 (step @p705 :rule cong :premises (@p704) :args ((not (_ @t833 @t2)))) % 0.48/1.01 (step @p706 :rule trans :premises (@p705 @p695)) % 0.48/1.01 (step @p707 :rule refl :args (tptp.p)) % 0.48/1.01 (step @p708 :rule ho_cong :premises (@p560 @p707)) % 0.48/1.01 (step @p709 :rule ho_cong :premises (@p708 @p683)) % 0.48/1.01 (step @p710 :rule cong :premises (@p709) :args (@t3)) % 0.48/1.01 (step @p711 :rule trans :premises (@p710 @p706)) % 0.48/1.01 (step @p712 :rule eq_resolve :premises (@p2 @p711)) % 0.48/1.01 (step @p713 :rule cnf_or_pos :args (@t840)) % 0.48/1.01 (step @p714 :rule reordering :premises (@p713) :args ((or @t834 @t835 @t815 @t813 @t836 @t838 @t839 @t841))) % 0.48/1.01 (step @p715 :rule chain_m_resolution :premises (@p714 @p712 @p694 @p668 @p651 @p634 @p628 @p601) :args (@t841 (@list false false true true false false false) (@list @t828 @t819 @t815 @t813 @t811 @t837 @t806))) % 0.48/1.01 (step @p716 :rule refl :args (@t834)) % 0.48/1.01 (step @p717 :rule refl :args (@t813)) % 0.48/1.01 (step @p718 :rule refl :args (@t815)) % 0.48/1.01 (step @p719 :rule refl :args (@t835)) % 0.48/1.01 (step @p720 :rule refl :args (@t836)) % 0.48/1.01 (step @p721 :rule cong :premises (@p602) :args (@t842)) % 0.48/1.01 (step @p722 :rule refl :args (@t839)) % 0.48/1.01 (step @p723 :rule nary_cong :premises (@p722 @p721 @p720 @p719 @p718 @p717 @p716) :args (@t843)) % 0.48/1.01 (step @p724 :rule refl :args (@t844)) % 0.48/1.01 (step @p725 :rule cong :premises (@p724 @p723) :args ((=> @t844 @t843))) % 0.48/1.01 (assume-push @p733 @t844) % 0.48/1.01 (step @p727 :rule instantiate :premises (@p575) :args ((@list tptp.secret tptp.pq tptp.p tptp.q))) % 0.48/1.01 (step-pop @p734 :rule scope :premises (@p727)) % 0.48/1.01 (step @p728 :rule process_scope :premises (@p734) :args (@t843)) % 0.48/1.01 (step @p730 :rule eq_resolve :premises (@p728 @p725)) % 0.48/1.01 (step @p731 :rule implies_elim :premises (@p730)) % 0.48/1.01 (step @p732 false :rule chain_m_resolution :premises (@p731 @p715 @p575) :args (false (@list true false) (@list @t840 @t844))) % 0.48/1.01 ) % 0.48/1.01 % SZS output end Proof % 0.48/1.01 % cvc5 exiting %------------------------------------------------------------------------------