%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP088^1 : TPTP v9.2.1. Released v7.5.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % Computer : n019.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 : ITP088^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.15/0.34 % Computer : n019.cluster.edu % 0.15/0.34 % Model : x86_64 x86_64 % 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.15/0.34 % Memory : 8042.1875MB % 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.15/0.34 % CPULimit : 300 % 0.15/0.34 % WCLimit : 300 % 0.15/0.34 % DateTime : Tue Jun 2 04:14:04 EDT 2026 % 0.15/0.34 % CPUTime : % 0.37/0.62 %----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_Secrets 0) % 0.48/1.01 (declare-sort tptp.set_Secrecy_Keys 0) % 0.48/1.01 (declare-sort tptp.set_Secrecy_chanID 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.secrecy_Secrets 0) % 0.48/1.01 (declare-sort tptp.secrecy_Keys 0) % 0.48/1.01 (declare-sort tptp.secrecy_KS 0) % 0.48/1.01 (declare-sort tptp.secrecy_Expression 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.exprChannel (-> tptp.secrecy_chanID tptp.secrecy_Expression Bool)) % 0.48/1.01 (declare-const tptp.ins (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.member1967978193chanID (-> tptp.secrecy_chanID tptp.set_Secrecy_chanID Bool)) % 0.48/1.01 (declare-const tptp.loc (-> tptp.secrecy_specID tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.bot_bo1785112429specID tptp.set_Secrecy_specID) % 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.bot_bo443197316chanID tptp.set_Secrecy_chanID) % 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.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_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.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.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.mem_Se1967555118ession (-> tptp.secrecy_Expression tptp.list_S529945141ession Bool)) % 0.48/1.01 (declare-const tptp.secrecy_sE (-> tptp.secrecy_Secrets tptp.secrecy_Expression)) % 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.knowle233900195orrect (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.48/1.01 (declare-const tptp.specSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_Secrets)) % 0.48/1.01 (declare-const tptp.specKeys (-> tptp.secrecy_specID tptp.set_Secrecy_Keys)) % 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.sup_su1301156759ecy_KS (-> tptp.set_Secrecy_KS tptp.set_Secrecy_KS tptp.set_Secrecy_KS)) % 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 (declare-const tptp.is_sin1442426433ecy_KS (-> tptp.set_Secrecy_KS Bool)) % 0.48/1.01 (declare-const tptp.secrecy_idE (-> tptp.secrecy_specID tptp.secrecy_Expression)) % 0.48/1.01 (declare-const tptp.localSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 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.q tptp.secrecy_specID) % 0.48/1.01 (declare-const tptp.key tptp.secrecy_Keys) % 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.sup_su552545507y_Keys (-> tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys)) % 0.48/1.01 (declare-const tptp.p tptp.secrecy_specID) % 0.48/1.01 (declare-const tptp.knowle945212990e_know (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.48/1.01 (declare-const tptp.secrecy_dE (-> tptp.nat tptp.secrecy_Expression)) % 0.48/1.01 (declare-const tptp.subcomponents (-> tptp.secrecy_specID tptp.set_Secrecy_specID)) % 0.48/1.01 (declare-const tptp.secrec1016742679ession (-> tptp.secrecy_KS tptp.secrecy_Expression)) % 0.48/1.01 (declare-const tptp.correctCompositionIn (-> tptp.secrecy_specID Bool)) % 0.48/1.01 (declare-const tptp.collec836099393ecrets (-> (-> tptp.secrecy_Secrets Bool) tptp.set_Secrecy_Secrets)) % 0.48/1.01 (declare-const tptp.pq 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.insert_Secrecy_Keys (-> tptp.secrecy_Keys tptp.set_Secrecy_Keys tptp.set_Secrecy_Keys)) % 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.collec625564175chanID (-> (-> tptp.secrecy_chanID Bool) tptp.set_Secrecy_chanID)) % 0.48/1.01 (declare-const tptp.collec1545797240specID (-> (-> tptp.secrecy_specID Bool) tptp.set_Secrecy_specID)) % 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.correc965049635ionLoc (-> tptp.secrecy_specID Bool)) % 0.48/1.01 (declare-const tptp.correctCompositionKS (-> tptp.secrecy_specID Bool)) % 0.48/1.01 (define tptp.ine () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_3 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.member1967978193chanID _let_2) (_ tptp.ins _let_3)) (_ (_ tptp.exprChannel _let_2) _let_1)))))))) % 0.48/1.01 (define tptp.ineM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_3 (@var "M3" tptp.set_Secrecy_chanID))) (let ((_let_4 (_ tptp.member1967978193chanID _let_2))) (let ((_let_5 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_5 _let_3 _let_1) (exists (@list _let_2) (and (_ _let_4 (_ tptp.ins _let_5)) (_ _let_4 _let_3) (_ (_ tptp.exprChannel _let_2) _let_1)))))))))) % 0.48/1.01 (define tptp.ine_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X6" 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 "X6" tptp.secrecy_chanID))) (let ((_let_3 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.ins _let_4))) (lambda (@list _let_4 _let_3 _let_1) (and (_ (_ tptp.member1967978193chanID _let_3) _let_5) (_ (_ tptp.exprChannel _let_3) _let_1) (forall (@list _let_2 (@var "T" tptp.nat)) (=> (and (_ (_ tptp.member1967978193chanID _let_2) _let_5) (not (= _let_2 _let_3))) (not (_ (_ tptp.exprChannel _let_2) _let_1)))))))))))) % 0.48/1.01 (define tptp.locStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X6" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y6" 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 "X6" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y6" 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.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.bot_bot_Secrecy_KS_o () (let ((_let_1 (@var "X6" tptp.secrecy_KS))) (lambda (@list _let_1) (_ (_ tptp.member_Secrecy_KS _let_1) tptp.bot_bo1943466239ecy_KS)))) % 0.48/1.01 (define tptp.bot_bo2072920570Keys_o () (let ((_let_1 (@var "X6" tptp.secrecy_Keys))) (lambda (@list _let_1) (_ (_ tptp.member_Secrecy_Keys _let_1) tptp.bot_bo701486667y_Keys)))) % 0.48/1.01 (define tptp.bot_bo1909946299rets_o () (let ((_let_1 (@var "X6" tptp.secrecy_Secrets))) (lambda (@list _let_1) (_ (_ tptp.member2138796287ecrets _let_1) tptp.bot_bo1124690338ecrets)))) % 0.48/1.01 (define tptp.bot_bo1767780696ecID_o () (let ((_let_1 (@var "X6" 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 "X6" 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 "Y7" tptp.secrecy_Secrets))) (let ((_let_4 (@var "E3" tptp.list_S529945141ession))) (let ((_let_5 (@var "X6" 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 "Ch2" tptp.secrecy_chanID))) (let ((_let_3 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_3 _let_1) (exists (@list _let_2) (and (_ (_ tptp.member1967978193chanID _let_2) (_ tptp.out _let_3)) (_ (_ tptp.exprChannel _let_2) _let_1)))))))) % 0.48/1.01 (define tptp.eoutM () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_3 (@var "M3" tptp.set_Secrecy_chanID))) (let ((_let_4 (_ tptp.member1967978193chanID _let_2))) (let ((_let_5 (@var "SP" tptp.secrecy_specID))) (lambda (@list _let_5 _let_3 _let_1) (exists (@list _let_2) (and (_ _let_4 (_ tptp.out _let_5)) (_ _let_4 _let_3) (_ (_ tptp.exprChannel _let_2) _let_1)))))))))) % 0.48/1.01 (define tptp.out_exprChannelSet () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "X6" 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 "X6" tptp.secrecy_chanID))) (let ((_let_3 (@var "Ch2" tptp.secrecy_chanID))) (let ((_let_4 (@var "SP" tptp.secrecy_specID))) (let ((_let_5 (_ tptp.out _let_4))) (lambda (@list _let_4 _let_3 _let_1) (and (_ (_ tptp.member1967978193chanID _let_3) _let_5) (_ (_ tptp.exprChannel _let_3) _let_1) (forall (@list _let_2 (@var "T" tptp.nat)) (=> (and (_ (_ tptp.member1967978193chanID _let_2) _let_5) (not (= _let_2 _let_3))) (not (_ (_ tptp.exprChannel _let_2) _let_1)))))))))))) % 0.48/1.01 (define tptp.outStream () (let ((_let_1 (@var "__flatten_var_0" tptp.set_Secrecy_chanID))) (let ((_let_2 (@var "X6" tptp.secrecy_specID))) (let ((_let_3 (@var "Z" tptp.set_Secrecy_chanID))) (let ((_let_4 (@var "Y6" 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.correctCompositionIn tptp.pq)) % 0.48/1.01 (define @t2 () (_ tptp.secrecy_kKS tptp.key)) % 0.48/1.01 (define @t3 () (_ tptp.knowle945212990e_know tptp.q)) % 0.48/1.01 (define @t4 () (_ @t3 @t2)) % 0.48/1.01 (define @t5 () (not @t4)) % 0.48/1.01 (define @t6 () (_ tptp.knowle945212990e_know tptp.p)) % 0.48/1.01 (define @t7 () (_ @t6 @t2)) % 0.48/1.01 (define @t8 () (not @t7)) % 0.48/1.01 (define @t9 () (_ (_ tptp.insert1671894227specID tptp.q) tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t10 () (_ tptp.insert1671894227specID tptp.p)) % 0.48/1.01 (define @t11 () (_ @t10 @t9)) % 0.48/1.01 (define @t12 () (_ tptp.subcomponents tptp.pq)) % 0.48/1.01 (define @t13 () (= @t12 @t11)) % 0.48/1.01 (define @t14 () (@var "Y1" tptp.secrecy_Keys)) % 0.48/1.01 (define @t15 () (@var "X1" tptp.secrecy_Keys)) % 0.48/1.01 (define @t16 () (= @t15 @t14)) % 0.48/1.01 (define @t17 () (_ tptp.secrecy_kE @t15)) % 0.48/1.01 (define @t18 () (@list @t15 @t14)) % 0.48/1.01 (define @t19 () (@var "M" tptp.secrecy_Keys)) % 0.48/1.01 (define @t20 () (_ tptp.secrecy_kE @t19)) % 0.48/1.01 (define @t21 () (@var "A" tptp.secrecy_specID)) % 0.48/1.01 (define @t22 () (_ tptp.ine @t21)) % 0.48/1.01 (define @t23 () (_ @t22 @t20)) % 0.48/1.01 (define @t24 () (_ tptp.secrecy_kKS @t19)) % 0.48/1.01 (define @t25 () (_ tptp.knowle945212990e_know @t21)) % 0.48/1.01 (define @t26 () (_ @t25 @t24)) % 0.48/1.01 (define @t27 () (not @t26)) % 0.48/1.01 (define @t28 () (@list @t21 @t19)) % 0.48/1.01 (define @t29 () (_ tptp.localSecrets @t21)) % 0.48/1.01 (define @t30 () (_ tptp.member_Secrecy_KS @t24)) % 0.48/1.01 (define @t31 () (_ @t30 @t29)) % 0.48/1.01 (define @t32 () (or @t23 @t31)) % 0.48/1.01 (define @t33 () (= @t26 @t32)) % 0.48/1.01 (define @t34 () (forall @t28 @t33)) % 0.48/1.01 (define @t35 () (@var "X4" tptp.secrecy_specID)) % 0.48/1.01 (define @t36 () (_ tptp.secrecy_idE @t35)) % 0.48/1.01 (define @t37 () (@var "X3" tptp.nat)) % 0.48/1.01 (define @t38 () (_ tptp.secrecy_dE @t37)) % 0.48/1.01 (define @t39 () (@var "E" tptp.secrecy_Expression)) % 0.48/1.01 (define @t40 () (@var "P" tptp.secrecy_specID)) % 0.48/1.01 (define @t41 () (_ tptp.ine @t40)) % 0.48/1.01 (define @t42 () (_ @t41 @t39)) % 0.48/1.01 (define @t43 () (@var "M2" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t44 () (_ tptp.ineM @t40)) % 0.48/1.01 (define @t45 () (_ (_ @t44 @t43) @t39)) % 0.48/1.01 (define @t46 () (@list @t40 @t43 @t39)) % 0.48/1.01 (define @t47 () (not @t45)) % 0.48/1.01 (define @t48 () (not @t42)) % 0.48/1.01 (define @t49 () (@list @t40 @t39 @t43)) % 0.48/1.01 (define @t50 () (@var "Q" tptp.secrecy_specID)) % 0.48/1.01 (define @t51 () (_ tptp.ins @t50)) % 0.48/1.01 (define @t52 () (@var "X" tptp.secrecy_chanID)) % 0.48/1.01 (define @t53 () (_ tptp.member1967978193chanID @t52)) % 0.48/1.01 (define @t54 () (_ @t53 @t51)) % 0.48/1.01 (define @t55 () (_ tptp.ins @t40)) % 0.48/1.01 (define @t56 () (_ @t53 @t55)) % 0.48/1.01 (define @t57 () (not @t56)) % 0.48/1.01 (define @t58 () (and @t57 (not @t54))) % 0.48/1.01 (define @t59 () (@var "Keys" tptp.secrecy_Keys)) % 0.48/1.01 (define @t60 () (_ tptp.secrecy_kE @t59)) % 0.48/1.01 (define @t61 () (_ tptp.ine @t50)) % 0.48/1.01 (define @t62 () (not (_ @t61 @t60))) % 0.48/1.01 (define @t63 () (not (_ @t41 @t60))) % 0.48/1.01 (define @t64 () (_ tptp.exprChannel @t52)) % 0.48/1.01 (define @t65 () (@var "X2" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t66 () (_ tptp.secrecy_sE @t65)) % 0.48/1.01 (define @t67 () (@list @t15 @t65)) % 0.48/1.01 (define @t68 () (_ tptp.secrecy_kKS @t15)) % 0.48/1.01 (define @t69 () (@var "Y2" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t70 () (= @t65 @t69)) % 0.48/1.01 (define @t71 () (@list @t65 @t69)) % 0.48/1.01 (define @t72 () (@var "Y4" tptp.secrecy_specID)) % 0.48/1.01 (define @t73 () (@var "Y3" tptp.nat)) % 0.48/1.01 (define @t74 () (@var "Ch" tptp.secrecy_chanID)) % 0.48/1.01 (define @t75 () (_ tptp.exprChannel @t74)) % 0.48/1.01 (define @t76 () (_ @t75 @t39)) % 0.48/1.01 (define @t77 () (_ tptp.member1967978193chanID @t74)) % 0.48/1.01 (define @t78 () (_ @t77 @t55)) % 0.48/1.01 (define @t79 () (_ @t77 @t43)) % 0.48/1.01 (define @t80 () (@var "PQ" tptp.secrecy_specID)) % 0.48/1.01 (define @t81 () (_ tptp.ins @t80)) % 0.48/1.01 (define @t82 () (_ @t77 @t81)) % 0.48/1.01 (define @t83 () (_ tptp.correctCompositionIn @t80)) % 0.48/1.01 (define @t84 () (_ (_ tptp.insert1671894227specID @t50) tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t85 () (_ tptp.insert1671894227specID @t40)) % 0.48/1.01 (define @t86 () (_ @t85 @t84)) % 0.48/1.01 (define @t87 () (_ tptp.subcomponents @t80)) % 0.48/1.01 (define @t88 () (= @t87 @t86)) % 0.48/1.01 (define @t89 () (_ (_ (_ tptp.ineM @t50) @t43) @t39)) % 0.48/1.01 (define @t90 () (not @t89)) % 0.48/1.01 (define @t91 () (or @t45 @t89)) % 0.48/1.01 (define @t92 () (_ (_ (_ tptp.ineM @t80) @t43) @t39)) % 0.48/1.01 (define @t93 () (@list @t80 @t43 @t39 @t40 @t50)) % 0.48/1.01 (define @t94 () (not @t92)) % 0.48/1.01 (define @t95 () (@list @t40 @t43 @t39 @t50 @t80)) % 0.48/1.01 (define @t96 () (@var "M" tptp.secrecy_Expression)) % 0.48/1.01 (define @t97 () (_ @t77 @t51)) % 0.48/1.01 (define @t98 () (@list @t80 @t40 @t50 @t74)) % 0.48/1.01 (define @t99 () (@var "Expression" tptp.secrecy_Expression)) % 0.48/1.01 (define @t100 () (@var "P" (-> tptp.secrecy_Expression Bool))) % 0.48/1.01 (define @t101 () (@var "X5" tptp.secrecy_specID)) % 0.48/1.01 (define @t102 () (@list @t101)) % 0.48/1.01 (define @t103 () (@var "X5" tptp.nat)) % 0.48/1.01 (define @t104 () (@var "X5" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t105 () (@list @t104)) % 0.48/1.01 (define @t106 () (@var "X5" tptp.secrecy_Keys)) % 0.48/1.01 (define @t107 () (@list @t106)) % 0.48/1.01 (define @t108 () (@var "X42" tptp.secrecy_specID)) % 0.48/1.01 (define @t109 () (@var "Y" tptp.secrecy_Expression)) % 0.48/1.01 (define @t110 () (@var "X32" tptp.nat)) % 0.48/1.01 (define @t111 () (@var "X22" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t112 () (@list @t111)) % 0.48/1.01 (define @t113 () (@var "X12" tptp.secrecy_Keys)) % 0.48/1.01 (define @t114 () (@list @t113)) % 0.48/1.01 (define @t115 () (@list @t80 @t40 @t50 @t52)) % 0.48/1.01 (define @t116 () (_ tptp.localSecrets @t80)) % 0.48/1.01 (define @t117 () (@var "Ls" tptp.secrecy_KS)) % 0.48/1.01 (define @t118 () (_ tptp.member_Secrecy_KS @t117)) % 0.48/1.01 (define @t119 () (_ tptp.localSecrets @t40)) % 0.48/1.01 (define @t120 () (@var "Secrets" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t121 () (_ tptp.secrecy_sE @t120)) % 0.48/1.01 (define @t122 () (_ (_ tptp.ine @t80) @t39)) % 0.48/1.01 (define @t123 () (not @t122)) % 0.48/1.01 (define @t124 () (=> @t83 @t123)) % 0.48/1.01 (define @t125 () (=> @t88 @t124)) % 0.48/1.01 (define @t126 () (_ @t61 @t39)) % 0.48/1.01 (define @t127 () (not @t126)) % 0.48/1.01 (define @t128 () (=> @t127 @t125)) % 0.48/1.01 (define @t129 () (=> @t48 @t128)) % 0.48/1.01 (define @t130 () (@list @t40 @t39 @t50 @t80)) % 0.48/1.01 (define @t131 () (forall @t130 @t129)) % 0.48/1.01 (define @t132 () (or @t42 @t126)) % 0.48/1.01 (define @t133 () (@list @t80 @t39 @t40 @t50)) % 0.48/1.01 (define @t134 () (@var "A2" tptp.secrecy_KS)) % 0.48/1.01 (define @t135 () (_ tptp.insert_Secrecy_KS @t134)) % 0.48/1.01 (define @t136 () (_ @t135 tptp.bot_bo1943466239ecy_KS)) % 0.48/1.01 (define @t137 () (_ tptp.member_Secrecy_KS @t134)) % 0.48/1.01 (define @t138 () (@list @t134)) % 0.48/1.01 (define @t139 () (@var "A2" tptp.secrecy_Keys)) % 0.48/1.01 (define @t140 () (_ tptp.insert_Secrecy_Keys @t139)) % 0.48/1.01 (define @t141 () (_ @t140 tptp.bot_bo701486667y_Keys)) % 0.48/1.01 (define @t142 () (_ tptp.member_Secrecy_Keys @t139)) % 0.48/1.01 (define @t143 () (@list @t139)) % 0.48/1.01 (define @t144 () (@var "A2" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t145 () (_ tptp.insert565337510ecrets @t144)) % 0.48/1.01 (define @t146 () (_ @t145 tptp.bot_bo1124690338ecrets)) % 0.48/1.01 (define @t147 () (_ tptp.member2138796287ecrets @t144)) % 0.48/1.01 (define @t148 () (@list @t144)) % 0.48/1.01 (define @t149 () (@var "A2" tptp.secrecy_specID)) % 0.48/1.01 (define @t150 () (_ tptp.insert1671894227specID @t149)) % 0.48/1.01 (define @t151 () (_ @t150 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t152 () (_ tptp.member740727610specID @t149)) % 0.48/1.01 (define @t153 () (@list @t149)) % 0.48/1.01 (define @t154 () (@var "A2" tptp.secrecy_chanID)) % 0.48/1.01 (define @t155 () (_ tptp.insert751661162chanID @t154)) % 0.48/1.01 (define @t156 () (_ @t155 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t157 () (_ tptp.member1967978193chanID @t154)) % 0.48/1.01 (define @t158 () (@list @t154)) % 0.48/1.01 (define @t159 () (@var "P" (-> tptp.secrecy_KS Bool))) % 0.48/1.01 (define @t160 () (@var "P" (-> tptp.secrecy_chanID Bool))) % 0.48/1.01 (define @t161 () (_ tptp.collec625564175chanID @t160)) % 0.48/1.01 (define @t162 () (@var "P" (-> tptp.secrecy_specID Bool))) % 0.48/1.01 (define @t163 () (_ tptp.collec1545797240specID @t162)) % 0.48/1.01 (define @t164 () (@var "P" (-> tptp.secrecy_Keys Bool))) % 0.48/1.01 (define @t165 () (@var "P" (-> tptp.secrecy_Secrets Bool))) % 0.48/1.01 (define @t166 () (@var "A" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t167 () (@var "X6" tptp.secrecy_KS)) % 0.48/1.01 (define @t168 () (_ tptp.member_Secrecy_KS @t167)) % 0.48/1.01 (define @t169 () (_ @t168 @t166)) % 0.48/1.01 (define @t170 () (@list @t167)) % 0.48/1.01 (define @t171 () (@list @t166)) % 0.48/1.01 (define @t172 () (@var "A" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t173 () (@var "X6" tptp.secrecy_chanID)) % 0.48/1.01 (define @t174 () (_ tptp.member1967978193chanID @t173)) % 0.48/1.01 (define @t175 () (_ @t174 @t172)) % 0.48/1.01 (define @t176 () (@list @t173)) % 0.48/1.01 (define @t177 () (@list @t172)) % 0.48/1.01 (define @t178 () (@var "A" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t179 () (@var "X6" tptp.secrecy_specID)) % 0.48/1.01 (define @t180 () (_ tptp.member740727610specID @t179)) % 0.48/1.01 (define @t181 () (_ @t180 @t178)) % 0.48/1.01 (define @t182 () (@list @t179)) % 0.48/1.01 (define @t183 () (@list @t178)) % 0.48/1.01 (define @t184 () (@var "A" tptp.set_Secrecy_Keys)) % 0.48/1.01 (define @t185 () (@var "X6" tptp.secrecy_Keys)) % 0.48/1.01 (define @t186 () (_ tptp.member_Secrecy_Keys @t185)) % 0.48/1.01 (define @t187 () (_ @t186 @t184)) % 0.48/1.01 (define @t188 () (@list @t185)) % 0.48/1.01 (define @t189 () (@list @t184)) % 0.48/1.01 (define @t190 () (@var "A" tptp.set_Secrecy_Secrets)) % 0.48/1.01 (define @t191 () (@var "X6" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t192 () (_ tptp.member2138796287ecrets @t191)) % 0.48/1.01 (define @t193 () (_ @t192 @t190)) % 0.48/1.01 (define @t194 () (@list @t191)) % 0.48/1.01 (define @t195 () (@list @t190)) % 0.48/1.01 (define @t196 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t59))) % 0.48/1.01 (define @t197 () (_ tptp.localSecrets @t50)) % 0.48/1.01 (define @t198 () (_ tptp.correc965049635ionLoc @t80)) % 0.48/1.01 (define @t199 () (@var "K" tptp.secrecy_Keys)) % 0.48/1.01 (define @t200 () (_ tptp.secrecy_kE @t199)) % 0.48/1.01 (define @t201 () (_ @t61 @t200)) % 0.48/1.01 (define @t202 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t199))) % 0.48/1.01 (define @t203 () (not (_ @t202 @t197))) % 0.48/1.01 (define @t204 () (not (_ @t202 @t119))) % 0.48/1.01 (define @t205 () (_ @t41 @t200)) % 0.48/1.01 (define @t206 () (_ @t202 @t116)) % 0.48/1.01 (define @t207 () (@list @t199 @t80 @t40 @t50)) % 0.48/1.01 (define @t208 () (@var "Ch3" tptp.secrecy_chanID)) % 0.48/1.01 (define @t209 () (_ tptp.member1967978193chanID @t208)) % 0.48/1.01 (define @t210 () (_ @t209 @t43)) % 0.48/1.01 (define @t211 () (_ tptp.loc @t80)) % 0.48/1.01 (define @t212 () (_ @t209 @t211)) % 0.48/1.01 (define @t213 () (not @t212)) % 0.48/1.01 (define @t214 () (_ (_ tptp.exprChannel @t208) @t39)) % 0.48/1.01 (define @t215 () (_ @t209 @t51)) % 0.48/1.01 (define @t216 () (@list @t208)) % 0.48/1.01 (define @t217 () (@list @t40 @t43 @t39 @t80 @t50)) % 0.48/1.01 (define @t218 () (_ @t209 @t55)) % 0.48/1.01 (define @t219 () (or @t218 @t215)) % 0.48/1.01 (define @t220 () (@list @t40 @t39 @t80 @t50)) % 0.48/1.01 (define @t221 () (@var "B" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t222 () (@var "B2" tptp.secrecy_KS)) % 0.48/1.01 (define @t223 () (_ tptp.insert_Secrecy_KS @t222)) % 0.48/1.01 (define @t224 () (_ @t223 @t221)) % 0.48/1.01 (define @t225 () (_ @t137 @t224)) % 0.48/1.01 (define @t226 () (= @t134 @t222)) % 0.48/1.01 (define @t227 () (_ @t137 @t221)) % 0.48/1.01 (define @t228 () (@list @t134 @t221 @t222)) % 0.48/1.01 (define @t229 () (@var "B" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t230 () (@var "B2" tptp.secrecy_chanID)) % 0.48/1.01 (define @t231 () (_ tptp.insert751661162chanID @t230)) % 0.48/1.01 (define @t232 () (_ @t231 @t229)) % 0.48/1.01 (define @t233 () (_ @t157 @t232)) % 0.48/1.01 (define @t234 () (= @t154 @t230)) % 0.48/1.01 (define @t235 () (_ @t157 @t229)) % 0.48/1.01 (define @t236 () (@list @t154 @t229 @t230)) % 0.48/1.01 (define @t237 () (@var "B" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t238 () (@var "B2" tptp.secrecy_specID)) % 0.48/1.01 (define @t239 () (_ tptp.insert1671894227specID @t238)) % 0.48/1.01 (define @t240 () (_ @t239 @t237)) % 0.48/1.01 (define @t241 () (_ @t152 @t240)) % 0.48/1.01 (define @t242 () (= @t149 @t238)) % 0.48/1.01 (define @t243 () (_ @t152 @t237)) % 0.48/1.01 (define @t244 () (@list @t149 @t237 @t238)) % 0.48/1.01 (define @t245 () (@var "B" tptp.set_Secrecy_Keys)) % 0.48/1.01 (define @t246 () (@var "B2" tptp.secrecy_Keys)) % 0.48/1.01 (define @t247 () (_ tptp.insert_Secrecy_Keys @t246)) % 0.48/1.01 (define @t248 () (_ @t247 @t245)) % 0.48/1.01 (define @t249 () (_ @t142 @t248)) % 0.48/1.01 (define @t250 () (= @t139 @t246)) % 0.48/1.01 (define @t251 () (_ @t142 @t245)) % 0.48/1.01 (define @t252 () (@list @t139 @t245 @t246)) % 0.48/1.01 (define @t253 () (@var "B" tptp.set_Secrecy_Secrets)) % 0.48/1.01 (define @t254 () (@var "B2" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t255 () (_ tptp.insert565337510ecrets @t254)) % 0.48/1.01 (define @t256 () (_ @t255 @t253)) % 0.48/1.01 (define @t257 () (_ @t147 @t256)) % 0.48/1.01 (define @t258 () (= @t144 @t254)) % 0.48/1.01 (define @t259 () (_ @t147 @t253)) % 0.48/1.01 (define @t260 () (@list @t144 @t253 @t254)) % 0.48/1.01 (define @t261 () (_ @t137 @t166)) % 0.48/1.01 (define @t262 () (_ @t137 (_ @t223 @t166))) % 0.48/1.01 (define @t263 () (@list @t134 @t222 @t166)) % 0.48/1.01 (define @t264 () (_ @t157 @t172)) % 0.48/1.01 (define @t265 () (_ @t157 (_ @t231 @t172))) % 0.48/1.01 (define @t266 () (@list @t154 @t230 @t172)) % 0.48/1.01 (define @t267 () (_ @t152 @t178)) % 0.48/1.01 (define @t268 () (_ @t152 (_ @t239 @t178))) % 0.48/1.01 (define @t269 () (@list @t149 @t238 @t178)) % 0.48/1.01 (define @t270 () (_ @t142 @t184)) % 0.48/1.01 (define @t271 () (_ @t142 (_ @t247 @t184))) % 0.48/1.01 (define @t272 () (@list @t139 @t246 @t184)) % 0.48/1.01 (define @t273 () (_ @t147 @t190)) % 0.48/1.01 (define @t274 () (_ @t147 (_ @t255 @t190))) % 0.48/1.01 (define @t275 () (@list @t144 @t254 @t190)) % 0.48/1.01 (define @t276 () (forall @t182 (not (_ @t162 @t179)))) % 0.48/1.01 (define @t277 () (@list @t162)) % 0.48/1.01 (define @t278 () (_ @t160 @t173)) % 0.48/1.01 (define @t279 () (forall @t176 (not @t278))) % 0.48/1.01 (define @t280 () (@list @t160)) % 0.48/1.01 (define @t281 () (= @t166 tptp.bot_bo1943466239ecy_KS)) % 0.48/1.01 (define @t282 () (= @t184 tptp.bot_bo701486667y_Keys)) % 0.48/1.01 (define @t283 () (= @t190 tptp.bot_bo1124690338ecrets)) % 0.48/1.01 (define @t284 () (= @t178 tptp.bot_bo1785112429specID)) % 0.48/1.01 (define @t285 () (= @t172 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t286 () (@var "C" tptp.secrecy_KS)) % 0.48/1.01 (define @t287 () (_ tptp.member_Secrecy_KS @t286)) % 0.48/1.01 (define @t288 () (@var "C" tptp.secrecy_Keys)) % 0.48/1.01 (define @t289 () (_ tptp.member_Secrecy_Keys @t288)) % 0.48/1.01 (define @t290 () (@var "C" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t291 () (_ tptp.member2138796287ecrets @t290)) % 0.48/1.01 (define @t292 () (@var "C" tptp.secrecy_specID)) % 0.48/1.01 (define @t293 () (_ tptp.member740727610specID @t292)) % 0.48/1.01 (define @t294 () (@var "C" tptp.secrecy_chanID)) % 0.48/1.01 (define @t295 () (_ tptp.member1967978193chanID @t294)) % 0.48/1.01 (define @t296 () (@var "X" tptp.secrecy_specID)) % 0.48/1.01 (define @t297 () (_ tptp.insert1671894227specID @t296)) % 0.48/1.01 (define @t298 () (_ @t297 @t178)) % 0.48/1.01 (define @t299 () (@list @t296 @t178)) % 0.48/1.01 (define @t300 () (_ tptp.insert751661162chanID @t52)) % 0.48/1.01 (define @t301 () (_ @t300 @t172)) % 0.48/1.01 (define @t302 () (@list @t52 @t172)) % 0.48/1.01 (define @t303 () (= @t211 tptp.bot_bo443197316chanID)) % 0.48/1.01 (define @t304 () (not @t281)) % 0.48/1.01 (define @t305 () (not @t282)) % 0.48/1.01 (define @t306 () (not @t283)) % 0.48/1.01 (define @t307 () (not @t284)) % 0.48/1.01 (define @t308 () (not @t285)) % 0.48/1.01 (define @t309 () (@var "Y5" tptp.secrecy_KS)) % 0.48/1.01 (define @t310 () (_ (_ tptp.member_Secrecy_KS @t309) @t166)) % 0.48/1.01 (define @t311 () (@var "Y5" tptp.secrecy_Keys)) % 0.48/1.01 (define @t312 () (_ (_ tptp.member_Secrecy_Keys @t311) @t184)) % 0.48/1.01 (define @t313 () (@var "Y5" tptp.secrecy_Secrets)) % 0.48/1.01 (define @t314 () (_ (_ tptp.member2138796287ecrets @t313) @t190)) % 0.48/1.01 (define @t315 () (@var "Y5" tptp.secrecy_specID)) 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(@list @t333)) % 0.48/1.01 (define @t335 () (@list @t139 @t184)) % 0.48/1.01 (define @t336 () (@var "B3" tptp.set_Secrecy_Secrets)) % 0.48/1.01 (define @t337 () (@list @t336)) % 0.48/1.01 (define @t338 () (@list @t144 @t190)) % 0.48/1.01 (define @t339 () (@var "Y" tptp.secrecy_specID)) % 0.48/1.01 (define @t340 () (_ tptp.insert1671894227specID @t339)) % 0.48/1.01 (define @t341 () (@var "Y" tptp.secrecy_chanID)) % 0.48/1.01 (define @t342 () (_ tptp.insert751661162chanID @t341)) % 0.48/1.01 (define @t343 () (@var "C2" tptp.set_Secrecy_KS)) % 0.48/1.01 (define @t344 () (_ tptp.member_Secrecy_KS @t222)) % 0.48/1.01 (define @t345 () (not @t226)) % 0.48/1.01 (define @t346 () (= @t166 @t221)) % 0.48/1.01 (define @t347 () (_ @t135 @t166)) % 0.48/1.01 (define @t348 () (@var "C2" tptp.set_Secrecy_chanID)) % 0.48/1.01 (define @t349 () (_ tptp.member1967978193chanID @t230)) % 0.48/1.01 (define @t350 () (not @t234)) % 0.48/1.01 (define @t351 () (= @t172 @t229)) % 0.48/1.01 (define @t352 () (_ @t155 @t172)) % 0.48/1.01 (define @t353 () (@var "C2" tptp.set_Secrecy_specID)) % 0.48/1.01 (define @t354 () (_ tptp.member740727610specID @t238)) % 0.48/1.01 (define @t355 () (not @t242)) % 0.48/1.01 (define @t356 () (= @t178 @t237)) % 0.48/1.01 (define @t357 () (_ @t150 @t178)) % 0.48/1.01 (define @t358 () (@var "C2" tptp.set_Secrecy_Keys)) % 0.48/1.01 (define @t359 () (_ tptp.member_Secrecy_Keys @t246)) % 0.48/1.01 (define @t360 () (not @t250)) % 0.48/1.01 (define @t361 () (= @t184 @t245)) % 0.48/1.01 (define @t362 () (_ @t140 @t184)) % 0.48/1.01 (define @t363 () (@var "C2" tptp.set_Secrecy_Secrets)) % 0.48/1.01 (define @t364 () (_ tptp.member2138796287ecrets @t254)) % 0.48/1.01 (define @t365 () (not @t258)) % 0.48/1.01 (define @t366 () (= @t190 @t253)) % 0.48/1.01 (define @t367 () (_ @t145 @t190)) % 0.48/1.01 (define @t368 () (@var "X" tptp.secrecy_KS)) % 0.48/1.01 (define @t369 () (_ tptp.insert_Secrecy_KS @t368)) % 0.48/1.02 (define @t370 () (_ tptp.member_Secrecy_KS @t368)) % 0.48/1.02 (define @t371 () (_ @t370 @t166)) % 0.48/1.02 (define @t372 () (@list @t368 @t166 @t221)) % 0.48/1.02 (define @t373 () (_ @t53 @t172)) % 0.48/1.02 (define @t374 () (@list @t52 @t172 @t229)) % 0.48/1.02 (define @t375 () (_ tptp.member740727610specID @t296)) % 0.48/1.02 (define @t376 () (_ @t375 @t178)) % 0.48/1.02 (define @t377 () (@list @t296 @t178 @t237)) % 0.48/1.02 (define @t378 () (@var "X" tptp.secrecy_Keys)) % 0.48/1.02 (define @t379 () (_ tptp.insert_Secrecy_Keys @t378)) % 0.48/1.02 (define @t380 () (_ tptp.member_Secrecy_Keys @t378)) % 0.48/1.02 (define @t381 () (_ @t380 @t184)) % 0.48/1.02 (define @t382 () (@var "X" tptp.secrecy_Secrets)) % 0.48/1.02 (define @t383 () (_ tptp.insert565337510ecrets @t382)) % 0.48/1.02 (define @t384 () (_ tptp.member2138796287ecrets @t382)) % 0.48/1.02 (define @t385 () (_ @t384 @t190)) % 0.48/1.02 (define @t386 () (_ @t135 @t221)) % 0.48/1.02 (define @t387 () (_ @t155 @t229)) % 0.48/1.02 (define @t388 () (_ @t150 @t237)) % 0.48/1.02 (define @t389 () (_ @t77 @t211)) % 0.48/1.02 (define @t390 () (_ @t239 tptp.bot_bo1785112429specID)) % 0.48/1.02 (define @t391 () (_ @t231 tptp.bot_bo443197316chanID)) % 0.48/1.02 (define @t392 () (@var "D" tptp.secrecy_specID)) % 0.48/1.02 (define @t393 () (@var "D" tptp.secrecy_chanID)) % 0.48/1.02 (define @t394 () (= @t222 @t134)) % 0.48/1.02 (define @t395 () (_ @t344 @t136)) % 0.48/1.02 (define @t396 () (@list @t222 @t134)) % 0.48/1.02 (define @t397 () (= @t246 @t139)) % 0.48/1.02 (define @t398 () (_ @t359 @t141)) % 0.48/1.02 (define @t399 () (@list @t246 @t139)) % 0.48/1.02 (define @t400 () (= @t254 @t144)) % 0.48/1.02 (define @t401 () (_ @t364 @t146)) % 0.48/1.02 (define @t402 () (@list @t254 @t144)) % 0.48/1.02 (define @t403 () (= @t238 @t149)) % 0.48/1.02 (define @t404 () (_ @t354 @t151)) % 0.48/1.02 (define @t405 () (@list @t238 @t149)) % 0.48/1.02 (define @t406 () (= @t230 @t154)) % 0.48/1.02 (define @t407 () (_ @t349 @t156)) % 0.48/1.02 (define @t408 () (@list @t230 @t154)) % 0.48/1.02 (define @t409 () (@var "X5" tptp.secrecy_chanID)) % 0.48/1.02 (define @t410 () (_ tptp.member1967978193chanID @t409)) % 0.48/1.02 (define @t411 () (@list @t409)) % 0.48/1.02 (define @t412 () (@list @t296)) % 0.48/1.02 (define @t413 () (_ tptp.ine_ex1303305700Single @t40)) % 0.48/1.02 (define @t414 () (_ (_ @t413 @t208) @t39)) % 0.48/1.02 (define @t415 () (_ @t410 @t211)) % 0.48/1.02 (define @t416 () (@var "ChSetQ" tptp.set_Secrecy_chanID)) % 0.48/1.02 (define @t417 () (forall @t411 (=> (_ @t410 @t416) @t415))) % 0.48/1.02 (define @t418 () (@var "ChSetP" tptp.set_Secrecy_chanID)) % 0.48/1.02 (define @t419 () (forall @t411 (=> (_ @t410 @t418) @t415))) % 0.48/1.02 (define @t420 () (_ (_ (_ tptp.ine_exprChannelSet @t50) @t416) @t39)) % 0.48/1.02 (define @t421 () (_ tptp.ine_exprChannelSet @t40)) % 0.48/1.02 (define @t422 () (_ (_ @t421 @t418) @t39)) % 0.48/1.02 (define @t423 () (@list @t80 @t40 @t50 @t418 @t39 @t416 @t43)) % 0.48/1.02 (define @t424 () (@var "ChSet" tptp.set_Secrecy_chanID)) % 0.48/1.02 (define @t425 () (forall @t411 (=> (_ @t410 @t424) @t415))) % 0.48/1.02 (define @t426 () (_ (_ @t421 @t424) @t39)) % 0.48/1.02 (define @t427 () (@list @t50 @t43 @t39 @t80 @t40 @t424)) % 0.48/1.02 (define @t428 () (@list @t80 @t40 @t50 @t418 @t39 @t416)) % 0.48/1.02 (define @t429 () (@list @t50 @t39 @t80 @t40 @t424)) % 0.48/1.02 (define @t430 () (_ (_ @t413 @t74) @t39)) % 0.48/1.02 (define @t431 () (_ (_ tptp.insert751661162chanID @t74) tptp.bot_bo443197316chanID)) % 0.48/1.02 (define @t432 () (_ (_ @t421 @t431) @t39)) % 0.48/1.02 (define @t433 () (@list @t40 @t74 @t39)) % 0.48/1.02 (define @t434 () (= @t424 tptp.bot_bo443197316chanID)) % 0.48/1.02 (define @t435 () (@list @t40 @t424 @t39)) % 0.48/1.02 (define @t436 () (@var "Ks" tptp.secrecy_KS)) % 0.48/1.02 (define @t437 () (_ tptp.member_Secrecy_KS @t436)) % 0.48/1.02 (define @t438 () (not (_ @t437 @t116))) % 0.48/1.02 (define @t439 () (@var "M4" tptp.secrecy_Secrets)) % 0.48/1.02 (define @t440 () (_ tptp.secrecy_sE @t439)) % 0.48/1.02 (define @t441 () (forall (@list @t439) (=> (= @t436 (_ tptp.secrecy_sKS @t439)) (and (not (_ @t41 @t440)) (not (_ @t61 @t440)))))) % 0.48/1.02 (define @t442 () (@var "M4" tptp.secrecy_Keys)) % 0.48/1.02 (define @t443 () (_ tptp.secrecy_kE @t442)) % 0.48/1.02 (define @t444 () (forall (@list @t442) (=> (= @t436 (_ tptp.secrecy_kKS @t442)) (and (not (_ @t41 @t443)) (not (_ @t61 @t443)))))) % 0.48/1.02 (define @t445 () (@list @t80 @t40 @t50 @t436)) % 0.48/1.02 (define @t446 () (_ @t297 tptp.bot_bo1785112429specID)) % 0.48/1.02 (define @t447 () (_ @t300 tptp.bot_bo443197316chanID)) % 0.48/1.02 (define @t448 () (@list @t52)) % 0.48/1.02 (define @t449 () (@var "S" tptp.secrecy_Secrets)) % 0.48/1.02 (define @t450 () (_ tptp.secrecy_sE @t449)) % 0.48/1.02 (define @t451 () (_ @t41 @t450)) % 0.48/1.02 (define @t452 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t449))) % 0.48/1.02 (define @t453 () (not (_ @t452 @t197))) % 0.48/1.02 (define @t454 () (not (_ @t452 @t119))) % 0.48/1.02 (define @t455 () (_ @t61 @t450)) % 0.48/1.02 (define @t456 () (not @t455)) % 0.48/1.02 (define @t457 () (_ @t452 @t116)) % 0.48/1.02 (define @t458 () (@list @t449 @t80 @t40 @t50)) % 0.48/1.02 (define @t459 () (_ tptp.secrecy_sKS @t65)) % 0.48/1.02 (define @t460 () (@var "Y" tptp.secrecy_KS)) % 0.48/1.02 (define @t461 () (@var "KS" tptp.secrecy_KS)) % 0.48/1.02 (define @t462 () (@var "M" tptp.secrecy_Secrets)) % 0.48/1.02 (define @t463 () (_ tptp.secrecy_sE @t462)) % 0.48/1.02 (define @t464 () (_ tptp.secrecy_sKS @t462)) % 0.48/1.02 (define @t465 () (_ @t22 @t463)) % 0.48/1.02 (define @t466 () (_ @t25 @t464)) % 0.48/1.02 (define @t467 () (not @t466)) % 0.48/1.02 (define @t468 () (@list @t21 @t462)) % 0.48/1.02 (define @t469 () (_ tptp.member_Secrecy_KS @t464)) % 0.48/1.02 (define @t470 () (not @t451)) % 0.48/1.02 (define @t471 () (not (_ @t77 (_ tptp.loc @t40)))) % 0.48/1.02 (define @t472 () (_ tptp.specKeysSecrets @t40)) % 0.48/1.02 (define @t473 () (@var "Secret" tptp.secrecy_Secrets)) % 0.48/1.02 (define @t474 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t473))) % 0.48/1.02 (define @t475 () (_ tptp.secrecy_sE @t473)) % 0.48/1.02 (define @t476 () (_ @t75 @t475)) % 0.48/1.02 (define @t477 () (@var "Key" tptp.secrecy_Keys)) % 0.48/1.02 (define @t478 () (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t477))) % 0.48/1.02 (define @t479 () (_ tptp.secrecy_kE @t477)) % 0.48/1.02 (define @t480 () (_ @t75 @t479)) % 0.48/1.02 (define @t481 () (@var "Ch4" tptp.secrecy_chanID)) % 0.48/1.02 (define @t482 () (_ tptp.exprChannel @t481)) % 0.48/1.02 (define @t483 () (_ (_ tptp.member1967978193chanID @t481) @t81)) % 0.48/1.02 (define @t484 () (@list @t481)) % 0.48/1.02 (define @t485 () (_ tptp.specKeysSecrets @t80)) % 0.48/1.02 (define @t486 () (not (_ @t474 @t485))) % 0.48/1.02 (define @t487 () (=> @t476 (=> @t486 (=> @t83 (exists @t484 (and @t483 (_ @t482 @t475))))))) % 0.48/1.02 (define @t488 () (not (_ @t474 @t116))) % 0.48/1.02 (define @t489 () (_ tptp.correctCompositionKS @t80)) % 0.48/1.02 (define @t490 () (@list @t80 @t40 @t50 @t473 @t74)) % 0.48/1.02 (define @t491 () (_ tptp.specKeysSecrets @t50)) % 0.48/1.02 (define @t492 () (_ @t437 @t491)) % 0.48/1.02 (define @t493 () (_ @t437 @t472)) % 0.48/1.02 (define @t494 () (_ @t437 @t485)) % 0.48/1.02 (define @t495 () (not @t494)) % 0.48/1.02 (define @t496 () (not @t492)) % 0.48/1.02 (define @t497 () (not @t493)) % 0.48/1.02 (define @t498 () (@var "X5" tptp.secrecy_KS)) % 0.48/1.02 (define @t499 () (_ tptp.is_sin1501507247specID @t178)) % 0.48/1.02 (define @t500 () (_ tptp.member740727610specID @t101)) % 0.48/1.02 (define @t501 () (_ tptp.is_sin581274182chanID @t172)) % 0.48/1.02 (define @t502 () (@var "M" tptp.secrecy_KS)) % 0.48/1.02 (define @t503 () (=> @t88 (=> @t83 (=> @t489 (_ (_ tptp.knowle945212990e_know @t80) @t502))))) % 0.48/1.02 (define @t504 () (_ (_ tptp.knowle945212990e_know @t50) @t502)) % 0.48/1.02 (define @t505 () (_ (_ tptp.knowle945212990e_know @t40) @t502)) % 0.48/1.02 (define @t506 () (_ tptp.member_Secrecy_KS @t502)) % 0.48/1.02 (define @t507 () (not (_ @t506 @t491))) % 0.48/1.02 (define @t508 () (not (_ @t506 @t472))) % 0.48/1.02 (define @t509 () (@list @t502 @t40 @t50 @t80)) % 0.48/1.02 (define @t510 () (@var "A3" tptp.set_Secrecy_specID)) % 0.48/1.02 (define @t511 () (@list @t510)) % 0.48/1.02 (define @t512 () (@var "A3" tptp.set_Secrecy_chanID)) % 0.48/1.02 (define @t513 () (@list @t512)) % 0.48/1.02 (define @t514 () (not (_ @t478 @t485))) % 0.48/1.02 (define @t515 () (=> @t480 (=> @t514 (=> @t83 (and @t82 @t480))))) % 0.48/1.02 (define @t516 () (not (_ @t478 @t116))) % 0.48/1.02 (define @t517 () (@list @t80 @t40 @t50 @t477 @t74)) % 0.48/1.02 (define @t518 () (=> @t480 (=> @t514 (=> @t83 (exists @t484 (and @t483 (_ @t482 @t479))))))) % 0.48/1.02 (define @t519 () (=> @t476 (=> @t486 (=> @t83 (and @t82 @t476))))) % 0.48/1.02 (define @t520 () (_ (_ tptp.sup_su1301156759ecy_KS @t119) @t197)) % 0.48/1.02 (define @t521 () (_ 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tptp.secrecy_specID)) % 0.48/1.02 (define @t639 () (_ tptp.subcomponents @t638)) % 0.48/1.02 (define @t640 () (_ @t500 @t639)) % 0.48/1.02 (define @t641 () (_ tptp.specKeys @t638)) % 0.48/1.02 (define @t642 () (_ @t637 @t641)) % 0.48/1.02 (define @t643 () (_ @t375 @t639)) % 0.48/1.02 (define @t644 () (_ tptp.correctCompositionKS @t638)) % 0.48/1.02 (define @t645 () (@list @t638 @t296 @t636)) % 0.48/1.02 (define @t646 () (@var "Xa" tptp.secrecy_Secrets)) % 0.48/1.02 (define @t647 () (_ tptp.member2138796287ecrets @t646)) % 0.48/1.02 (define @t648 () (_ tptp.specSecrets @t638)) % 0.48/1.02 (define @t649 () (_ @t647 @t648)) % 0.48/1.02 (define @t650 () (@list @t638 @t296 @t646)) % 0.48/1.02 (define @t651 () (not @t630)) % 0.48/1.02 (define @t652 () (_ tptp.out_ex985543062Single @t40)) % 0.48/1.02 (define @t653 () (_ (_ @t652 @t208) @t39)) % 0.48/1.02 (define @t654 () (not @t632)) % 0.48/1.02 (define @t655 () (_ tptp.out_exprChannelSet @t40)) % 0.48/1.02 (define @t656 () (_ (_ @t655 @t424) 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(define @t674 () (_ @t673 @t464)) % 0.48/1.02 (define @t675 () (not (_ @t664 (_ tptp.specSecrets @t21)))) % 0.48/1.02 (define @t676 () (@list @t462 @t21)) % 0.48/1.02 (define @t677 () (_ (_ (_ tptp.eoutM @t40) @t43) @t39)) % 0.48/1.02 (define @t678 () (_ (_ (_ tptp.eoutM @t50) @t43) @t39)) % 0.48/1.02 (define @t679 () (or @t677 @t678)) % 0.48/1.02 (define @t680 () (not @t678)) % 0.48/1.02 (define @t681 () (_ @t673 @t24)) % 0.48/1.02 (define @t682 () (_ @t671 @t20)) % 0.48/1.02 (define @t683 () (_ tptp.member_Secrecy_Keys @t19)) % 0.48/1.02 (define @t684 () (not (_ @t683 (_ tptp.specKeys @t21)))) % 0.48/1.02 (define @t685 () (@list @t19 @t21)) % 0.48/1.02 (define @t686 () (or (_ @t683 @t641) (_ @t663 @t24))) % 0.48/1.02 (define @t687 () (_ @t666 @t20)) % 0.48/1.02 (define @t688 () (_ @t668 @t24)) % 0.48/1.02 (define @t689 () (@list @t638 @t19)) % 0.48/1.02 (define @t690 () (_ tptp.out @t50)) % 0.48/1.02 (define @t691 () (_ @t209 @t690)) % 0.48/1.02 (define @t692 () (_ tptp.out @t40)) % 0.48/1.02 (define @t693 () (_ @t209 @t692)) % 0.48/1.02 (define @t694 () (or @t693 @t691)) % 0.48/1.02 (define @t695 () (_ tptp.secrecy_kE tptp.key)) % 0.48/1.02 (define @t696 () (not (_ (_ tptp.ine tptp.pq) @t695))) % 0.48/1.02 (define @t697 () (not @t696)) % 0.48/1.02 (define @t698 () (@var "E2" tptp.secrecy_Expression)) % 0.48/1.02 (define @t699 () (@var "Ch2" tptp.secrecy_chanID)) % 0.48/1.02 (define @t700 () (_ (_ tptp.exprChannel @t699) @t698)) % 0.48/1.02 (define @t701 () (@var "SP" tptp.secrecy_specID)) % 0.48/1.02 (define @t702 () (_ tptp.ins @t701)) % 0.48/1.02 (define @t703 () (_ tptp.member1967978193chanID @t699)) % 0.48/1.02 (define @t704 () (_ @t703 @t702)) % 0.48/1.02 (define @t705 () (and @t704 @t700)) % 0.48/1.02 (define @t706 () (@list @t699)) % 0.48/1.02 (define @t707 () (exists @t706 @t705)) % 0.48/1.02 (define @t708 () (@list @t701 @t698)) % 0.48/1.02 (define @t709 () (lambda @t708 @t707)) % 0.48/1.02 (define @t710 () (@var "M3" tptp.set_Secrecy_chanID)) % 0.48/1.02 (define @t711 () (_ @t703 @t710)) % 0.48/1.02 (define @t712 () (@list @t701 @t710 @t698)) % 0.48/1.02 (define @t713 () (lambda @t712 (exists @t706 (and @t704 @t711 @t700)))) % 0.48/1.02 (define @t714 () (_ (_ tptp.exprChannel @t173) @t698)) % 0.48/1.02 (define @t715 () (not @t714)) % 0.48/1.02 (define @t716 () (_ @t174 @t702)) % 0.48/1.02 (define @t717 () (@var "ChSet2" tptp.set_Secrecy_chanID)) % 0.48/1.02 (define @t718 () (_ @t174 @t717)) % 0.48/1.02 (define @t719 () (not @t718)) % 0.48/1.02 (define @t720 () (@list @t701 @t717 @t698)) % 0.48/1.02 (define @t721 () (lambda @t720 (and (forall @t176 (=> @t718 (and @t716 @t714))) (forall @t176 (=> (and @t719 @t716) @t715))))) % 0.48/1.02 (define @t722 () (not (= @t173 @t699))) % 0.48/1.02 (define @t723 () (@list @t173 (@var "T" tptp.nat))) % 0.48/1.02 (define @t724 () (@list @t701 @t699 @t698)) % 0.48/1.02 (define @t725 () (lambda @t724 (and @t704 @t700 (forall @t723 (=> (and @t716 @t722) @t715))))) % 0.48/1.02 (define @t726 () (@var "Z" tptp.set_Secrecy_chanID)) % 0.48/1.02 (define @t727 () (@var "Y6" tptp.set_Secrecy_chanID)) % 0.48/1.02 (define @t728 () (lambda (@list @t727 @t726) (= @t727 @t726))) % 0.48/1.02 (define @t729 () (@list @t179 @t595)) % 0.48/1.02 (define @t730 () (lambda @t729 (_ (_ @t728 (_ tptp.loc @t179)) @t595))) % 0.48/1.02 (define @t731 () (lambda @t729 (_ (_ @t728 (_ tptp.ins @t179)) @t595))) % 0.48/1.02 (define @t732 () (lambda @t511 (= @t510 (_ (_ tptp.insert1671894227specID (_ tptp.the_el827131246specID @t510)) tptp.bot_bo1785112429specID)))) % 0.48/1.02 (define @t733 () (lambda @t513 (= @t512 (_ (_ tptp.insert751661162chanID (_ tptp.the_el2054381829chanID @t512)) tptp.bot_bo443197316chanID)))) % 0.48/1.02 (define @t734 () (lambda @t170 (_ @t168 tptp.bot_bo1943466239ecy_KS))) % 0.48/1.02 (define @t735 () (lambda @t188 (_ @t186 tptp.bot_bo701486667y_Keys))) % 0.48/1.02 (define @t736 () (lambda @t194 (_ @t192 tptp.bot_bo1124690338ecrets))) % 0.48/1.02 (define @t737 () (lambda @t182 (_ @t180 tptp.bot_bo1785112429specID))) % 0.48/1.02 (define @t738 () (lambda @t176 (_ @t174 tptp.bot_bo443197316chanID))) % 0.48/1.02 (define @t739 () (@var "P2" tptp.secrecy_specID)) % 0.48/1.02 (define @t740 () (_ tptp.specKeysSecrets @t739)) % 0.48/1.02 (define @t741 () (@var "Y7" tptp.secrecy_Secrets)) % 0.48/1.02 (define @t742 () (@var "E3" tptp.list_S529945141ession)) % 0.48/1.02 (define @t743 () (lambda (@list @t739 @t742) (and (forall @t188 (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_kE @t185)) @t742) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_kKS @t185)) @t740)))) (forall (@list @t741) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_sE @t741)) @t742) (not (_ (_ tptp.member_Secrecy_KS (_ tptp.secrecy_sKS @t741)) @t740))))))) % 0.48/1.02 (define @t744 () (_ tptp.out @t701)) % 0.48/1.02 (define @t745 () (_ @t703 @t744)) % 0.48/1.02 (define @t746 () (lambda @t708 (exists @t706 (and @t745 @t700)))) % 0.48/1.02 (define @t747 () (lambda @t712 (exists @t706 (and @t745 @t711 @t700)))) % 0.48/1.02 (define @t748 () (_ @t174 @t744)) % 0.48/1.02 (define @t749 () (lambda @t720 (and (forall @t176 (=> @t718 (and @t748 @t714))) (forall @t176 (=> (and @t719 @t748) @t715))))) % 0.48/1.02 (define @t750 () (lambda @t724 (and @t745 @t700 (forall @t723 (=> (and @t748 @t722) @t715))))) % 0.48/1.02 (define @t751 () (lambda @t729 (_ (_ @t728 (_ tptp.out @t179)) @t595))) % 0.48/1.02 (define @t752 () (tptp.correctCompositionIn tptp.pq)) % 0.48/1.02 (define @t753 () (tptp.subcomponents tptp.pq)) % 0.48/1.02 (define @t754 () (tptp.insert1671894227specID tptp.q tptp.bot_bo1785112429specID)) % 0.48/1.02 (define @t755 () (tptp.insert1671894227specID tptp.p @t754)) % 0.48/1.02 (define @t756 () (tptp.secrecy_kE tptp.key)) % 0.48/1.02 (define @t757 () (tptp.exprChannel @t699 @t695)) % 0.48/1.02 (define @t758 () (not @t757)) % 0.48/1.02 (define @t759 () (tptp.ins tptp.pq)) % 0.48/1.02 (define @t760 () (not (tptp.member1967978193chanID @t699 @t759))) % 0.48/1.02 (define @t761 () (or @t760 @t758)) % 0.48/1.02 (define @t762 () (forall @t706 @t761)) % 0.48/1.02 (define @t763 () (not @t762)) % 0.48/1.02 (define @t764 () (tptp.exprChannel @t699 @t698)) % 0.48/1.02 (define @t765 () (not @t764)) % 0.48/1.02 (define @t766 () (@list @t698)) % 0.48/1.02 (define @t767 () (lambda @t766 (not (forall @t706 (or @t760 @t765))))) % 0.48/1.02 (define @t768 () (tptp.ins @t701)) % 0.48/1.02 (define @t769 () (tptp.member1967978193chanID @t699 @t768)) % 0.48/1.02 (define @t770 () (lambda @t708 (not (forall @t706 (or (not @t769) @t765))))) % 0.48/1.02 (define @t771 () (_ @t770 tptp.pq)) % 0.48/1.02 (define @t772 () (not @t700)) % 0.48/1.02 (define @t773 () (not @t704)) % 0.48/1.02 (define @t774 () (or @t773 @t772)) % 0.48/1.02 (define @t775 () (forall @t706 (not @t705))) % 0.48/1.02 (define @t776 () (not @t775)) % 0.48/1.02 (define @t777 () (not (tptp.exprChannel @t699 @t756))) % 0.48/1.02 (define @t778 () (@quantifiers_skolemize (forall @t706 (or @t760 @t777)) 0)) % 0.48/1.02 (define @t779 () (tptp.member1967978193chanID @t778 @t759)) % 0.48/1.02 (define @t780 () (tptp.exprChannel @t778 @t756)) % 0.48/1.02 (define @t781 () (not @t780)) % 0.48/1.02 (define @t782 () (not @t779)) % 0.48/1.02 (define @t783 () (or @t782 @t781)) % 0.48/1.02 (define @t784 () (@list true)) % 0.48/1.02 (define @t785 () (@list @t783)) % 0.48/1.02 (define @t786 () (@var "BOUND_VARIABLE_11200" tptp.secrecy_chanID)) % 0.48/1.02 (define @t787 () (not (tptp.exprChannel @t786 @t39))) % 0.48/1.02 (define @t788 () (tptp.ins @t80)) % 0.48/1.02 (define @t789 () (not (tptp.member1967978193chanID @t786 @t788))) % 0.48/1.02 (define @t790 () (tptp.correctCompositionIn @t80)) % 0.48/1.02 (define @t791 () (not @t790)) % 0.48/1.02 (define @t792 () (tptp.insert1671894227specID @t50 tptp.bot_bo1785112429specID)) % 0.48/1.02 (define @t793 () (tptp.insert1671894227specID @t40 @t792)) % 0.48/1.02 (define @t794 () (tptp.subcomponents @t80)) % 0.48/1.02 (define @t795 () (not (= @t794 @t793))) % 0.48/1.02 (define @t796 () (not (tptp.exprChannel @t699 @t39))) % 0.48/1.02 (define @t797 () (not (tptp.member1967978193chanID @t699 (tptp.ins @t50)))) % 0.48/1.02 (define @t798 () (forall @t706 (or @t797 @t796))) % 0.48/1.02 (define @t799 () (not @t798)) % 0.48/1.02 (define @t800 () (not (tptp.member1967978193chanID @t699 (tptp.ins @t40)))) % 0.48/1.02 (define @t801 () (forall @t706 (or @t800 @t796))) % 0.48/1.02 (define @t802 () (not @t801)) % 0.48/1.02 (define @t803 () (or @t802 @t799 @t795 @t791 @t789 @t787)) % 0.48/1.02 (define @t804 () (or @t789 @t787)) % 0.48/1.02 (define @t805 () (or @t802 @t799 @t795 @t791 @t804)) % 0.48/1.02 (define @t806 () (@list @t40 @t39 @t50 @t80 @t786)) % 0.48/1.02 (define @t807 () (forall @t806 @t805)) % 0.48/1.02 (define @t808 () (@list @t786)) % 0.48/1.02 (define @t809 () (forall @t808 @t805)) % 0.48/1.02 (define @t810 () (forall @t808 @t804)) % 0.48/1.02 (define @t811 () (or @t802 @t799 @t795 @t791 @t810)) % 0.48/1.02 (define @t812 () (not (tptp.member1967978193chanID @t699 @t788))) % 0.48/1.02 (define @t813 () (forall @t706 (or @t812 @t796))) % 0.48/1.02 (define @t814 () (not @t83)) % 0.48/1.02 (define @t815 () (not @t88)) % 0.48/1.02 (define @t816 () (or @t802 @t799 @t815 @t814 @t813)) % 0.48/1.02 (define @t817 () (or @t799 @t815 @t814 @t813)) % 0.48/1.02 (define @t818 () (or @t815 @t814 @t813)) % 0.48/1.02 (define @t819 () (=> @t83 @t813)) % 0.48/1.02 (define @t820 () (=> @t88 @t819)) % 0.48/1.02 (define @t821 () (=> @t798 @t820)) % 0.48/1.02 (define @t822 () (lambda @t766 (not (forall @t706 (or @t812 @t765))))) % 0.48/1.02 (define @t823 () (_ @t770 @t80)) % 0.48/1.02 (define @t824 () (not (_ @t823 @t39))) % 0.48/1.02 (define @t825 () (=> @t83 @t824)) % 0.48/1.02 (define @t826 () (=> @t88 @t825)) % 0.48/1.02 (define @t827 () (lambda @t766 (not (forall @t706 (or @t797 @t765))))) % 0.48/1.02 (define @t828 () (_ @t770 @t50)) % 0.48/1.02 (define @t829 () (not (_ @t828 @t39))) % 0.48/1.02 (define @t830 () (=> @t829 @t826)) % 0.48/1.02 (define @t831 () (lambda @t766 (not (forall @t706 (or @t800 @t765))))) % 0.48/1.02 (define @t832 () (_ @t770 @t40)) % 0.48/1.02 (define @t833 () (not (_ @t832 @t39))) % 0.48/1.02 (define @t834 () (=> @t833 @t830)) % 0.48/1.02 (define @t835 () (not @t752)) % 0.48/1.02 (define @t836 () (not (= @t753 @t755))) % 0.48/1.02 (define @t837 () (forall @t706 (or (not (tptp.member1967978193chanID @t699 (tptp.ins tptp.q))) @t777))) % 0.48/1.02 (define @t838 () (not @t837)) % 0.48/1.02 (define @t839 () (forall @t706 (or (not (tptp.member1967978193chanID @t699 (tptp.ins tptp.p))) @t777))) % 0.48/1.02 (define @t840 () (not @t839)) % 0.48/1.02 (define @t841 () (or @t840 @t838 @t836 @t835 @t782 @t781)) % 0.48/1.02 (define @t842 () (forall @t806 @t803)) % 0.48/1.02 (define @t843 () (= @t755 @t753)) % 0.48/1.02 (define @t844 () (not @t843)) % 0.48/1.02 (define @t845 () (or @t840 @t838 @t844 @t835 @t782 @t781)) % 0.48/1.02 (define @t846 () (tptp.localSecrets @t21)) % 0.48/1.02 (define @t847 () (tptp.secrecy_kKS @t19)) % 0.48/1.02 (define @t848 () (tptp.member_Secrecy_KS @t847 @t846)) % 0.48/1.02 (define @t849 () (tptp.secrecy_kE @t19)) % 0.48/1.02 (define @t850 () (not (tptp.member1967978193chanID @t699 (tptp.ins @t21)))) % 0.48/1.02 (define @t851 () (not (forall @t706 (or @t850 (not (tptp.exprChannel @t699 @t849)))))) % 0.48/1.02 (define @t852 () (or @t851 @t31)) % 0.48/1.02 (define @t853 () (tptp.knowle945212990e_know @t21 @t847)) % 0.48/1.02 (define @t854 () (= @t26 @t852)) % 0.48/1.02 (define @t855 () (tptp.exprChannel @t699 @t20)) % 0.48/1.02 (define @t856 () (not @t855)) % 0.48/1.02 (define @t857 () (or @t850 @t856)) % 0.48/1.02 (define @t858 () (forall @t706 @t857)) % 0.48/1.02 (define @t859 () (not @t858)) % 0.48/1.02 (define @t860 () (lambda @t766 (not (forall @t706 (or @t850 @t765))))) % 0.48/1.02 (define @t861 () (_ @t770 @t21)) % 0.48/1.02 (define @t862 () (or (_ @t861 @t20) @t31)) % 0.48/1.02 (define @t863 () (= @t26 @t862)) % 0.48/1.02 (define @t864 () (tptp.secrecy_kKS tptp.key)) % 0.48/1.02 (define @t865 () (tptp.knowle945212990e_know tptp.q @t864)) % 0.48/1.02 (define @t866 () (or @t838 (tptp.member_Secrecy_KS @t864 (tptp.localSecrets tptp.q)))) % 0.48/1.02 (define @t867 () (= @t865 @t866)) % 0.48/1.02 (define @t868 () (not @t866)) % 0.48/1.02 (define @t869 () (@list true false)) % 0.48/1.02 (define @t870 () (tptp.knowle945212990e_know tptp.p @t864)) % 0.48/1.02 (define @t871 () (or @t840 (tptp.member_Secrecy_KS @t864 (tptp.localSecrets tptp.p)))) % 0.48/1.02 (define @t872 () (= @t870 @t871)) % 0.48/1.02 (define @t873 () (not @t871)) % 0.48/1.02 (assume @p1 @t1) % 0.48/1.02 (assume @p2 @t5) % 0.48/1.02 (assume @p3 @t8) % 0.48/1.02 (assume @p4 @t13) % 0.48/1.02 (assume @p5 (forall @t18 (= (= @t17 (_ tptp.secrecy_kE @t14)) @t16))) % 0.48/1.02 (assume @p6 (forall @t28 (=> @t27 (not @t23)))) % 0.48/1.02 (assume @p7 @t34) % 0.48/1.02 (assume @p8 (forall (@list @t15 @t35) (not (= @t17 @t36)))) % 0.48/1.02 (assume @p9 (forall (@list @t15 @t37) (not (= @t17 @t38)))) % 0.48/1.02 (assume @p10 (forall (@list @t19) (= (_ tptp.secrec1016742679ession @t24) @t20))) % 0.48/1.02 (assume @p11 (forall @t46 (=> @t45 @t42))) % 0.48/1.02 (assume @p12 (forall @t49 (=> @t48 @t47))) % 0.48/1.02 (assume @p13 (forall (@list @t52 @t59 @t40 @t50) (=> (_ @t64 @t60) (=> @t63 (=> @t62 @t58))))) % 0.48/1.02 (assume @p14 (forall @t67 (not (= @t17 @t66)))) % 0.48/1.02 (assume @p15 (forall @t18 (= (= @t68 (_ tptp.secrecy_kKS @t14)) @t16))) % 0.48/1.02 (assume @p16 (forall @t71 (= (= @t66 (_ tptp.secrecy_sE @t69)) @t70))) % 0.48/1.02 (assume @p17 (forall (@list @t35 @t72) (= (= @t36 (_ tptp.secrecy_idE @t72)) (= @t35 @t72)))) % 0.48/1.02 (assume @p18 (forall (@list @t37 @t73) (= (= @t38 (_ tptp.secrecy_dE @t73)) (= @t37 @t73)))) % 0.48/1.02 (assume @p19 (forall (@list @t37 @t35) (not (= @t38 @t36)))) % 0.48/1.02 (assume @p20 (forall (@list @t65 @t35) (not (= @t66 @t36)))) % 0.48/1.02 (assume @p21 (forall (@list @t65 @t37) (not (= @t66 @t38)))) % 0.48/1.02 (assume @p22 (forall (@list @t74 @t43 @t40 @t39) (=> @t79 (=> @t78 (=> @t76 @t45))))) % 0.48/1.02 (assume @p23 (forall (@list @t40 @t43 @t39 @t50 @t80 @t74) (=> @t47 (=> @t90 (=> @t88 (=> @t83 (=> @t79 (=> @t82 (not @t76))))))))) % 0.48/1.02 (assume @p24 (forall @t93 (=> @t92 (=> @t88 (=> @t83 @t91))))) % 0.48/1.02 (assume @p25 (forall @t95 (=> @t47 (=> @t90 (=> @t88 (=> @t83 @t94)))))) % 0.48/1.02 (assume @p26 (forall (@list @t40 @t96 @t52) (=> (not (_ @t41 @t96)) (=> (_ @t64 @t96) @t57)))) % 0.48/1.02 (assume @p27 (forall @t98 (=> @t88 (=> @t83 (=> @t82 (or @t78 @t97)))))) % 0.48/1.02 (assume @p28 (forall (@list @t100 @t99) (=> (forall @t107 (_ @t100 (_ tptp.secrecy_kE @t106))) (=> (forall @t105 (_ @t100 (_ tptp.secrecy_sE @t104))) (=> (forall (@list @t103) (_ @t100 (_ tptp.secrecy_dE @t103))) (=> (forall @t102 (_ @t100 (_ tptp.secrecy_idE @t101))) (_ @t100 @t99))))))) % 0.48/1.02 (assume @p29 (forall (@list @t109) (=> (forall @t114 (not (= @t109 (_ tptp.secrecy_kE @t113)))) (=> (forall @t112 (not (= @t109 (_ tptp.secrecy_sE @t111)))) (=> (forall (@list @t110) (not (= @t109 (_ tptp.secrecy_dE @t110)))) (not (forall (@list @t108) (not (= @t109 (_ tptp.secrecy_idE @t108)))))))))) % 0.48/1.02 (assume @p30 (forall @t115 (=> @t88 (=> @t83 (=> (_ @t53 @t81) (or @t56 @t54)))))) % 0.48/1.02 (assume @p31 (forall (@list @t117 @t40 @t80 @t50) (=> (_ @t118 @t119) (=> @t88 (_ @t118 @t116))))) % 0.48/1.02 (assume @p32 (forall (@list @t52 @t120 @t40 @t50) (=> (_ @t64 @t121) (=> (not (_ @t41 @t121)) (=> (not (_ @t61 @t121)) @t58))))) % 0.48/1.02 (assume @p33 @t131) % 0.48/1.02 (assume @p34 (forall @t133 (=> @t122 (=> @t88 (=> @t83 @t132))))) % 0.48/1.02 (assume @p35 (forall @t138 (_ @t137 @t136))) % 0.48/1.02 (assume @p36 (forall @t143 (_ @t142 @t141))) % 0.48/1.02 (assume @p37 (forall @t148 (_ @t147 @t146))) % 0.48/1.02 (assume @p38 (forall @t153 (_ @t152 @t151))) % 0.48/1.02 (assume @p39 (forall @t158 (_ @t157 @t156))) % 0.48/1.02 (assume @p40 (forall (@list @t134 @t159) (= (_ @t137 (_ tptp.collect_Secrecy_KS @t159)) (_ @t159 @t134)))) % 0.48/1.02 (assume @p41 (forall (@list @t154 @t160) (= (_ @t157 @t161) (_ @t160 @t154)))) % 0.48/1.02 (assume @p42 (forall (@list @t149 @t162) (= (_ @t152 @t163) (_ @t162 @t149)))) % 0.48/1.02 (assume @p43 (forall (@list @t139 @t164) (= (_ @t142 (_ tptp.collect_Secrecy_Keys @t164)) (_ @t164 @t139)))) % 0.48/1.02 (assume @p44 (forall (@list @t144 @t165) (= (_ @t147 (_ tptp.collec836099393ecrets @t165)) (_ @t165 @t144)))) % 0.48/1.02 (assume @p45 (forall @t171 (= (_ tptp.collect_Secrecy_KS (lambda @t170 @t169)) @t166))) % 0.48/1.02 (assume @p46 (forall @t177 (= (_ tptp.collec625564175chanID (lambda @t176 @t175)) @t172))) % 0.48/1.02 (assume @p47 (forall @t183 (= (_ tptp.collec1545797240specID (lambda @t182 @t181)) @t178))) % 0.48/1.02 (assume @p48 (forall @t189 (= (_ tptp.collect_Secrecy_Keys (lambda @t188 @t187)) @t184))) % 0.48/1.02 (assume @p49 (forall @t195 (= (_ tptp.collec836099393ecrets (lambda @t194 @t193)) @t190))) % 0.48/1.02 (assume @p50 (forall (@list @t80 @t40 @t50 @t59) (=> @t88 (=> @t198 (=> @t63 (=> @t62 (=> (not (_ @t196 @t119)) (=> (not (_ @t196 @t197)) (not (_ @t196 @t116)))))))))) % 0.48/1.02 (assume @p51 (forall @t207 (=> @t206 (=> @t88 (=> @t198 (=> (not @t205) (=> @t204 (=> @t203 @t201)))))))) % 0.48/1.02 (assume @p52 (forall @t207 (=> @t206 (=> @t88 (=> @t198 (=> (not @t201) (=> @t204 (=> @t203 @t205)))))))) % 0.48/1.02 (assume @p53 (forall @t217 (=> @t45 (=> @t88 (=> @t83 (=> (exists @t216 (and @t215 @t214 @t213 @t210)) @t92)))))) % 0.48/1.02 (assume @p54 (forall @t95 (=> @t91 (=> @t88 (=> @t83 (=> (exists @t216 (and @t219 @t210 @t214 @t213)) @t92)))))) % 0.48/1.02 (assume @p55 (forall @t220 (=> @t42 (=> @t88 (=> @t83 (=> (exists @t216 (and @t218 @t214 @t213)) @t122)))))) % 0.48/1.02 (assume @p56 (forall @t130 (=> @t132 (=> @t88 (=> @t83 (=> (exists @t216 (and @t219 @t214 @t213)) @t122)))))) % 0.48/1.02 (assume @p57 (forall @t228 (=> (=> (not @t227) @t226) @t225))) % 0.48/1.02 (assume @p58 (forall @t236 (=> (=> (not @t235) @t234) @t233))) % 0.48/1.02 (assume @p59 (forall @t244 (=> (=> (not @t243) @t242) @t241))) % 0.48/1.02 (assume @p60 (forall @t252 (=> (=> (not @t251) @t250) @t249))) % 0.48/1.02 (assume @p61 (forall @t260 (=> (=> (not @t259) @t258) @t257))) % 0.48/1.02 (assume @p62 (forall @t263 (= @t262 (or @t226 @t261)))) % 0.48/1.02 (assume @p63 (forall @t266 (= @t265 (or @t234 @t264)))) % 0.48/1.02 (assume @p64 (forall @t269 (= @t268 (or @t242 @t267)))) % 0.48/1.02 (assume @p65 (forall @t272 (= @t271 (or @t250 @t270)))) % 0.48/1.02 (assume @p66 (forall @t275 (= @t274 (or @t258 @t273)))) % 0.48/1.02 (assume @p67 (forall @t277 (= (= tptp.bot_bo1785112429specID @t163) @t276))) % 0.48/1.02 (assume @p68 (forall @t280 (= (= tptp.bot_bo443197316chanID @t161) @t279))) % 0.48/1.02 (assume @p69 (forall @t277 (= (= @t163 tptp.bot_bo1785112429specID) @t276))) % 0.48/1.02 (assume @p70 (forall @t280 (= (= @t161 tptp.bot_bo443197316chanID) @t279))) % 0.48/1.02 (assume @p71 (forall @t171 (= (forall @t170 (not @t169)) @t281))) % 0.48/1.02 (assume @p72 (forall @t189 (= (forall @t188 (not @t187)) @t282))) % 0.48/1.02 (assume @p73 (forall @t195 (= (forall @t194 (not @t193)) @t283))) % 0.48/1.02 (assume @p74 (forall @t183 (= (forall @t182 (not @t181)) @t284))) % 0.48/1.02 (assume @p75 (forall @t177 (= (forall @t176 (not @t175)) @t285))) % 0.48/1.02 (assume @p76 (forall (@list @t286) (not (_ @t287 tptp.bot_bo1943466239ecy_KS)))) % 0.48/1.02 (assume @p77 (forall (@list @t288) (not (_ @t289 tptp.bot_bo701486667y_Keys)))) % 0.48/1.02 (assume @p78 (forall (@list @t290) (not (_ @t291 tptp.bot_bo1124690338ecrets)))) % 0.48/1.02 (assume @p79 (forall (@list @t292) (not (_ @t293 tptp.bot_bo1785112429specID)))) % 0.48/1.02 (assume @p80 (forall (@list @t294) (not (_ @t295 tptp.bot_bo443197316chanID)))) % 0.48/1.02 (assume @p81 (forall @t299 (= (_ @t297 @t298) @t298))) % 0.48/1.02 (assume @p82 (forall @t302 (= (_ @t300 @t301) @t301))) % 0.48/1.02 (assume @p83 (forall @t130 (=> @t132 (=> @t88 (=> @t83 (=> @t303 @t122)))))) % 0.48/1.02 (assume @p84 (forall @t171 (= (exists @t170 @t169) @t304))) % 0.48/1.02 (assume @p85 (forall @t189 (= (exists @t188 @t187) @t305))) % 0.48/1.02 (assume @p86 (forall @t195 (= (exists @t194 @t193) @t306))) % 0.48/1.02 (assume @p87 (forall @t183 (= (exists @t182 @t181) @t307))) % 0.48/1.02 (assume @p88 (forall @t177 (= (exists @t176 @t175) @t308))) % 0.48/1.02 (assume @p89 (forall @t171 (=> (forall (@list @t309) (not @t310)) @t281))) % 0.48/1.02 (assume @p90 (forall @t189 (=> (forall (@list @t311) (not @t312)) @t282))) % 0.48/1.02 (assume @p91 (forall @t195 (=> (forall (@list @t313) (not @t314)) @t283))) % 0.48/1.02 (assume @p92 (forall @t183 (=> (forall (@list @t315) (not @t316)) @t284))) % 0.48/1.02 (assume @p93 (forall @t177 (=> (forall (@list @t317) (not @t318)) @t285))) % 0.48/1.02 (assume @p94 (forall (@list @t166 @t134) (=> @t281 @t319))) % 0.48/1.02 (assume @p95 (forall (@list @t184 @t139) (=> @t282 @t320))) % 0.48/1.02 (assume @p96 (forall (@list @t190 @t144) (=> @t283 @t321))) % 0.48/1.02 (assume @p97 (forall (@list @t178 @t149) (=> @t284 @t322))) % 0.48/1.02 (assume @p98 (forall (@list @t172 @t154) (=> @t285 @t323))) % 0.48/1.02 (assume @p99 (forall @t138 (not (_ @t137 tptp.bot_bo1943466239ecy_KS)))) % 0.48/1.02 (assume @p100 (forall @t143 (not (_ @t142 tptp.bot_bo701486667y_Keys)))) % 0.48/1.02 (assume @p101 (forall @t148 (not (_ @t147 tptp.bot_bo1124690338ecrets)))) % 0.48/1.02 (assume @p102 (forall @t153 (not (_ @t152 tptp.bot_bo1785112429specID)))) % 0.48/1.02 (assume @p103 (forall @t158 (not (_ @t157 tptp.bot_bo443197316chanID)))) % 0.48/1.02 (assume @p104 (forall @t326 (=> @t261 (exists @t325 (and (= @t166 (_ @t135 @t324)) (not (_ @t137 @t324))))))) % 0.48/1.02 (assume @p105 (forall @t329 (=> @t264 (exists @t328 (and (= @t172 (_ @t155 @t327)) (not (_ @t157 @t327))))))) % 0.48/1.02 (assume @p106 (forall @t332 (=> @t267 (exists @t331 (and (= @t178 (_ @t150 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@t348)) (= @t229 (_ @t155 @t348)) (not (_ @t157 @t348))))))))))) % 0.48/1.02 (assume @p113 (forall (@list @t149 @t178 @t238 @t237) (=> @t322 (=> (not (_ @t354 @t237)) (= (= @t357 @t240) (and (=> @t242 @t356) (=> @t355 (exists (@list @t353) (and (= @t178 (_ @t239 @t353)) (not (_ @t354 @t353)) (= @t237 (_ @t150 @t353)) (not (_ @t152 @t353))))))))))) % 0.48/1.02 (assume @p114 (forall (@list @t139 @t184 @t246 @t245) (=> @t320 (=> (not (_ @t359 @t245)) (= (= @t362 @t248) (and (=> @t250 @t361) (=> @t360 (exists (@list @t358) (and (= @t184 (_ @t247 @t358)) (not (_ @t359 @t358)) (= @t245 (_ @t140 @t358)) (not (_ @t142 @t358))))))))))) % 0.48/1.02 (assume @p115 (forall (@list @t144 @t190 @t254 @t253) (=> @t321 (=> (not (_ @t364 @t253)) (= (= @t367 @t256) (and (=> @t258 @t366) (=> @t365 (exists (@list @t363) (and (= @t190 (_ @t255 @t363)) (not (_ @t364 @t363)) (= @t253 (_ @t145 @t363)) (not (_ @t147 @t363))))))))))) % 0.48/1.02 (assume @p116 (forall @t326 (=> @t261 (= @t347 @t166)))) % 0.48/1.02 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@t371 (not (forall @t325 (=> (= @t166 (_ @t369 @t324)) (_ @t370 @t324))))))) % 0.48/1.02 (assume @p127 (forall @t302 (=> @t373 (not (forall @t328 (=> (= @t172 (_ @t300 @t327)) (_ @t53 @t327))))))) % 0.48/1.02 (assume @p128 (forall @t299 (=> @t376 (not (forall @t331 (=> (= @t178 (_ @t297 @t330)) (_ @t375 @t330))))))) % 0.48/1.02 (assume @p129 (forall (@list @t378 @t184) (=> @t381 (not (forall @t334 (=> (= @t184 (_ @t379 @t333)) (_ @t380 @t333))))))) % 0.48/1.02 (assume @p130 (forall (@list @t382 @t190) (=> @t385 (not (forall @t337 (=> (= @t190 (_ @t383 @t336)) (_ @t384 @t336))))))) % 0.48/1.02 (assume @p131 (forall @t228 (=> @t227 @t225))) % 0.48/1.02 (assume @p132 (forall @t236 (=> @t235 @t233))) % 0.48/1.02 (assume @p133 (forall @t244 (=> @t243 @t241))) % 0.48/1.02 (assume @p134 (forall @t252 (=> @t251 @t249))) % 0.48/1.02 (assume @p135 (forall @t260 (=> @t259 @t257))) % 0.48/1.02 (assume @p136 (forall (@list @t134 @t221) (_ @t137 @t386))) % 0.48/1.02 (assume @p137 (forall (@list 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@t399 (=> @t398 @t397))) % 0.48/1.02 (assume @p160 (forall @t402 (=> @t401 @t400))) % 0.48/1.02 (assume @p161 (forall @t405 (=> @t404 @t403))) % 0.48/1.02 (assume @p162 (forall @t408 (=> @t407 @t406))) % 0.48/1.02 (assume @p163 (forall (@list @t80 @t40 @t50 @t74 @t96) (=> @t88 (=> @t83 (=> @t78 (=> (_ @t75 @t96) (=> (forall @t411 (=> (_ @t410 @t81) (not (_ (_ tptp.exprChannel @t409) @t96)))) @t389))))))) % 0.48/1.02 (assume @p164 (forall @t412 (=> (_ tptp.correc965049635ionLoc @t296) (=> (= (_ tptp.subcomponents @t296) tptp.bot_bo1785112429specID) (= (_ tptp.loc @t296) tptp.bot_bo443197316chanID))))) % 0.48/1.02 (assume @p165 (forall @t95 (=> @t45 (=> @t90 (=> @t88 (=> @t83 (=> (exists @t216 (and @t414 @t210 @t212)) @t94))))))) % 0.48/1.02 (assume @p166 (forall @t130 (=> @t42 (=> @t127 (=> @t88 (=> @t83 (=> (exists @t216 (and @t414 @t212)) @t123))))))) % 0.48/1.02 (assume @p167 (forall @t423 (=> @t88 (=> @t83 (=> @t422 (=> @t420 (=> @t419 (=> @t417 @t94)))))))) % 0.48/1.02 (assume @p168 (forall @t427 (=> @t90 (=> @t88 (=> @t83 (=> @t426 (=> @t425 @t94))))))) % 0.48/1.02 (assume @p169 (forall @t428 (=> @t88 (=> @t83 (=> @t422 (=> @t420 (=> @t419 (=> @t417 @t123)))))))) % 0.48/1.02 (assume @p170 (forall @t429 (=> @t127 (=> @t88 (=> @t83 (=> @t426 (=> @t425 @t123))))))) % 0.48/1.02 (assume @p171 (forall @t433 (=> @t432 @t430))) % 0.48/1.02 (assume @p172 (forall @t433 (=> @t430 @t432))) % 0.48/1.02 (assume @p173 (forall @t435 (=> @t426 (=> (not @t434) @t42)))) % 0.48/1.02 (assume @p174 (forall @t435 (=> @t426 (=> @t434 @t48)))) % 0.48/1.02 (assume @p175 (forall @t445 (=> @t88 (=> @t198 (=> @t444 (=> @t441 (=> (not (_ @t437 @t119)) (=> (not (_ @t437 @t197)) @t438)))))))) % 0.48/1.02 (assume @p176 (forall @t412 (= (_ tptp.the_el827131246specID @t446) @t296))) % 0.48/1.02 (assume @p177 (forall @t448 (= (_ tptp.the_el2054381829chanID @t447) @t52))) % 0.48/1.02 (assume @p178 (forall @t458 (=> @t457 (=> @t88 (=> @t198 (=> @t456 (=> @t454 (=> @t453 @t451)))))))) % 0.48/1.02 (assume @p179 (forall @t71 (= (= @t459 (_ tptp.secrecy_sKS @t69)) @t70))) % 0.48/1.02 (assume @p180 (= tptp.bot_bo1785112429specID (_ tptp.collec1545797240specID tptp.bot_bo1767780696ecID_o))) % 0.48/1.02 (assume @p181 (= tptp.bot_bo443197316chanID (_ tptp.collec625564175chanID tptp.bot_bo1012329985anID_o))) % 0.48/1.02 (assume @p182 (forall (@list @t460) (=> (forall @t114 (not (= @t460 (_ tptp.secrecy_kKS @t113)))) (not (forall @t112 (not (= @t460 (_ tptp.secrecy_sKS @t111)))))))) % 0.48/1.02 (assume @p183 (forall (@list @t159 @t461) (=> (forall @t107 (_ @t159 (_ tptp.secrecy_kKS @t106))) (=> (forall @t105 (_ @t159 (_ tptp.secrecy_sKS @t104))) (_ @t159 @t461))))) % 0.48/1.02 (assume @p184 (forall @t67 (not (= @t68 @t459)))) % 0.48/1.02 (assume @p185 (forall (@list @t462) (= (_ tptp.secrec1016742679ession @t464) @t463))) % 0.48/1.02 (assume @p186 (forall @t468 (=> @t467 (not @t465)))) % 0.48/1.02 (assume @p187 (forall @t468 (= @t466 (or @t465 (_ @t469 @t29))))) % 0.48/1.02 (assume @p188 (forall (@list @t80 @t40 @t50 @t449) (=> @t88 (=> @t198 (=> @t470 (=> @t456 (=> @t454 (=> @t453 (not @t457))))))))) % 0.48/1.02 (assume @p189 (forall @t458 (=> @t457 (=> @t88 (=> @t198 (=> @t470 (=> @t454 (=> @t453 @t455)))))))) % 0.48/1.02 (assume @p190 (forall @t412 (_ tptp.is_sin1501507247specID @t446))) % 0.48/1.02 (assume @p191 (forall @t448 (_ tptp.is_sin581274182chanID @t447))) % 0.48/1.02 (assume @p192 (forall (@list @t473 @t40 @t74) (=> (not (_ @t474 @t119)) (=> @t476 (=> (not (_ @t474 @t472)) @t471))))) % 0.48/1.02 (assume @p193 (forall (@list @t477 @t40 @t74) (=> (not (_ @t478 @t119)) (=> @t480 (=> (not (_ @t478 @t472)) @t471))))) % 0.48/1.02 (assume @p194 (forall @t490 (=> @t88 (=> @t489 (=> @t488 (=> @t97 @t487)))))) % 0.48/1.02 (assume @p195 (forall @t445 (=> @t88 (=> @t489 (=> @t494 (or @t493 @t492)))))) % 0.48/1.02 (assume @p196 (forall @t445 (=> @t88 (=> @t489 (=> @t497 (=> @t496 @t495)))))) % 0.48/1.02 (assume @p197 (forall @t445 (=> @t88 (=> @t489 (=> @t495 @t497))))) % 0.48/1.02 (assume @p198 (forall @t445 (=> @t88 (=> @t489 (=> @t495 @t496))))) % 0.48/1.02 (assume @p199 (forall @t171 (=> @t304 (=> (forall (@list @t498 @t309) (=> (_ (_ tptp.member_Secrecy_KS @t498) @t166) (=> @t310 (= @t498 @t309)))) (_ tptp.is_sin1442426433ecy_KS @t166))))) % 0.48/1.02 (assume @p200 (forall @t189 (=> @t305 (=> (forall (@list @t106 @t311) (=> (_ (_ tptp.member_Secrecy_Keys @t106) @t184) (=> @t312 (= @t106 @t311)))) (_ tptp.is_sin1096471309y_Keys @t184))))) % 0.48/1.02 (assume @p201 (forall @t195 (=> @t306 (=> (forall (@list @t104 @t313) (=> (_ (_ tptp.member2138796287ecrets @t104) @t190) (=> @t314 (= @t104 @t313)))) (_ tptp.is_sin1002224330ecrets @t190))))) % 0.48/1.02 (assume @p202 (forall @t183 (=> @t307 (=> (forall (@list @t101 @t315) (=> (_ @t500 @t178) (=> @t316 (= @t101 @t315)))) @t499)))) % 0.48/1.02 (assume @p203 (forall @t177 (=> @t308 (=> (forall (@list @t409 @t317) (=> (_ @t410 @t172) (=> @t318 (= @t409 @t317)))) @t501)))) % 0.48/1.02 (assume @p204 (forall @t509 (=> @t508 (=> @t507 (=> (or @t505 @t504) @t503))))) % 0.48/1.02 (assume @p205 (forall @t509 (=> @t508 (=> @t507 (=> @t505 @t503))))) % 0.48/1.02 (assume @p206 (forall @t509 (=> @t508 (=> @t507 (=> @t504 @t503))))) % 0.48/1.02 (assume @p207 (forall @t183 (=> @t499 (not (forall @t102 (not (= @t178 (_ (_ tptp.insert1671894227specID @t101) tptp.bot_bo1785112429specID)))))))) % 0.48/1.02 (assume @p208 (forall @t177 (=> @t501 (not (forall @t411 (not (= @t172 (_ (_ tptp.insert751661162chanID @t409) tptp.bot_bo443197316chanID)))))))) % 0.48/1.02 (assume @p209 (= tptp.is_sin1501507247specID (lambda @t511 (exists @t182 (= @t510 (_ (_ tptp.insert1671894227specID @t179) tptp.bot_bo1785112429specID)))))) % 0.48/1.02 (assume @p210 (= tptp.is_sin581274182chanID (lambda @t513 (exists @t176 (= @t512 (_ (_ tptp.insert751661162chanID @t173) tptp.bot_bo443197316chanID)))))) % 0.48/1.02 (assume @p211 (forall @t517 (=> @t88 (=> @t489 (=> @t516 (=> @t78 @t515)))))) % 0.48/1.02 (assume @p212 (forall @t517 (=> @t88 (=> @t489 (=> @t516 (=> @t97 @t515)))))) % 0.48/1.02 (assume @p213 (forall @t517 (=> @t88 (=> @t489 (=> @t516 (=> @t78 @t518)))))) % 0.48/1.02 (assume @p214 (forall @t517 (=> @t88 (=> @t489 (=> @t516 (=> @t97 @t518)))))) % 0.48/1.02 (assume @p215 (forall @t490 (=> @t88 (=> @t489 (=> @t488 (=> @t78 @t519)))))) % 0.48/1.02 (assume @p216 (forall @t490 (=> @t88 (=> @t489 (=> @t488 (=> @t97 @t519)))))) % 0.48/1.02 (assume @p217 (forall @t490 (=> @t88 (=> @t489 (=> @t488 (=> @t78 @t487)))))) % 0.48/1.02 (assume @p218 (forall @t445 (=> @t88 (=> @t198 (=> @t489 (=> @t497 (=> @t496 (=> @t444 (=> @t441 (=> (not (_ @t437 @t520)) @t438)))))))))) % 0.48/1.02 (assume @p219 (forall (@list @t80 @t40 @t50 @t462) (=> @t88 (=> @t198 (=> @t489 (=> (not (_ @t469 @t472)) (=> (not (_ @t469 @t491)) (=> (not (_ @t41 @t463)) (=> (not (_ @t61 @t463)) (=> (not (_ @t469 @t520)) (not (_ @t469 @t116)))))))))))) % 0.48/1.02 (assume @p220 (forall (@list @t80 @t40 @t50 @t19) (=> @t88 (=> @t198 (=> @t489 (=> (not (_ @t30 @t472)) (=> (not (_ @t30 @t491)) (=> (not (_ @t41 @t20)) (=> (not (_ @t61 @t20)) (=> (not (_ @t30 @t520)) (not (_ @t30 @t116)))))))))))) % 0.48/1.02 (assume @p221 (forall @t526 (=> (=> (not @t525) @t524) @t523))) % 0.48/1.02 (assume @p222 (forall @t530 (=> (=> (not @t529) @t528) @t527))) % 0.48/1.02 (assume @p223 (forall @t534 (=> (=> (not @t533) @t532) @t531))) % 0.48/1.02 (assume @p224 (forall @t540 (=> (=> (not @t539) @t538) @t537))) % 0.48/1.02 (assume @p225 (forall @t546 (=> (=> (not @t545) @t544) @t543))) % 0.48/1.02 (assume @p226 (forall @t547 (= @t523 (or @t524 @t525)))) % 0.48/1.02 (assume @p227 (forall @t548 (= @t527 (or @t528 @t529)))) % 0.48/1.02 (assume @p228 (forall @t549 (= @t531 (or @t532 @t533)))) % 0.48/1.02 (assume @p229 (forall @t550 (= @t537 (or @t538 @t539)))) % 0.48/1.02 (assume @p230 (forall @t551 (= @t543 (or @t544 @t545)))) % 0.48/1.02 (assume @p231 (forall @t553 (= (= @t536 tptp.bot_bo1943466239ecy_KS) (and @t281 @t552)))) % 0.48/1.02 (assume @p232 (forall (@list @t178 @t237) (= (= @t522 tptp.bot_bo1785112429specID) (and @t284 @t554)))) % 0.48/1.02 (assume @p233 (forall @t556 (= (= @t542 tptp.bot_bo443197316chanID) (and @t285 @t555)))) % 0.48/1.02 (assume @p234 (forall (@list @t178 @t149 @t237) (= (_ @t521 @t388) (_ @t150 @t522)))) % 0.48/1.02 (assume @p235 (forall (@list @t166 @t134 @t221) (= (_ @t535 @t386) (_ @t135 @t536)))) % 0.48/1.02 (assume @p236 (forall (@list @t172 @t154 @t229) (= (_ @t541 @t387) (_ @t155 @t542)))) % 0.48/1.02 (assume @p237 (forall (@list @t149 @t237 @t557) (= (_ (_ tptp.sup_su1712599557specID @t388) @t557) (_ @t150 (_ (_ tptp.sup_su1712599557specID @t237) @t557))))) % 0.48/1.02 (assume @p238 (forall (@list @t134 @t221 @t558) (= (_ (_ tptp.sup_su1301156759ecy_KS @t386) @t558) (_ @t135 @t560)))) % 0.48/1.02 (assume @p239 (forall (@list @t154 @t229 @t561) (= (_ (_ tptp.sup_su370684444chanID @t387) @t561) (_ @t155 @t563)))) % 0.48/1.02 (assume @p240 (forall @t171 (= (_ @t535 tptp.bot_bo1943466239ecy_KS) @t166))) % 0.48/1.02 (assume @p241 (forall @t183 (= (_ @t521 tptp.bot_bo1785112429specID) @t178))) % 0.48/1.02 (assume @p242 (forall @t177 (= (_ @t541 tptp.bot_bo443197316chanID) @t172))) % 0.48/1.02 (assume @p243 (forall (@list @t221) (= (_ @t564 @t221) @t221))) % 0.48/1.02 (assume @p244 (forall (@list @t237) (= (_ @t565 @t237) @t237))) % 0.48/1.02 (assume @p245 (forall (@list @t229) (= (_ @t566 @t229) @t229))) % 0.48/1.02 (assume @p246 (forall @t547 (=> @t523 (=> (not @t524) @t525)))) % 0.48/1.02 (assume @p247 (forall @t548 (=> @t527 (=> (not @t528) @t529)))) % 0.48/1.02 (assume @p248 (forall @t549 (=> @t531 (=> (not @t532) @t533)))) % 0.48/1.02 (assume @p249 (forall @t550 (=> @t537 (=> (not @t538) @t539)))) % 0.48/1.02 (assume @p250 (forall @t551 (=> @t543 (=> (not @t544) @t545)))) % 0.48/1.02 (assume @p251 (forall @t547 (=> @t524 @t523))) % 0.48/1.02 (assume @p252 (forall @t548 (=> @t528 @t527))) % 0.48/1.02 (assume @p253 (forall @t549 (=> @t532 @t531))) % 0.48/1.02 (assume @p254 (forall @t550 (=> @t538 @t537))) % 0.48/1.02 (assume @p255 (forall @t551 (=> @t544 @t543))) % 0.48/1.02 (assume @p256 (forall @t526 (=> @t525 @t523))) % 0.48/1.02 (assume @p257 (forall @t530 (=> @t529 @t527))) % 0.48/1.02 (assume @p258 (forall @t534 (=> @t533 @t531))) % 0.48/1.02 (assume @p259 (forall @t540 (=> @t539 @t537))) % 0.48/1.02 (assume @p260 (forall @t546 (=> @t545 @t543))) % 0.48/1.02 (assume @p261 (forall @t570 (= (exists @t170 (and @t569 @t567)) (or (exists @t170 (and @t169 @t567)) (exists @t170 (and @t568 @t567)))))) % 0.48/1.02 (assume @p262 (forall @t573 (= (exists @t176 (and @t572 @t278)) (or (exists @t176 (and @t175 @t278)) (exists @t176 (and @t571 @t278)))))) % 0.48/1.02 (assume @p263 (forall @t570 (= (forall @t170 (=> @t569 @t567)) (and (forall @t170 (=> @t169 @t567)) (forall @t170 (=> @t568 @t567)))))) % 0.48/1.02 (assume @p264 (forall @t573 (= (forall @t176 (=> @t572 @t278)) (and (forall @t176 (=> @t175 @t278)) (forall @t176 (=> @t571 @t278)))))) % 0.48/1.02 (assume @p265 (forall @t575 (= (_ (_ tptp.sup_su1301156759ecy_KS @t536) @t558) @t574))) % 0.48/1.02 (assume @p266 (forall @t577 (= (_ (_ tptp.sup_su370684444chanID @t542) @t561) @t576))) % 0.48/1.02 (assume @p267 (forall @t171 (= (_ @t535 @t166) @t166))) % 0.48/1.02 (assume @p268 (forall @t177 (= (_ @t541 @t172) @t172))) % 0.48/1.02 (assume @p269 (= tptp.sup_su1301156759ecy_KS (lambda (@list @t578 @t579) (_ (_ tptp.sup_su1301156759ecy_KS @t579) @t578)))) % 0.48/1.02 (assume @p270 (= tptp.sup_su370684444chanID (lambda (@list @t512 @t580) (_ (_ tptp.sup_su370684444chanID @t580) @t512)))) % 0.48/1.02 (assume @p271 (forall @t553 (= (_ @t535 @t536) @t536))) % 0.48/1.02 (assume @p272 (forall @t556 (= (_ @t541 @t542) @t542))) % 0.48/1.02 (assume @p273 (forall @t575 (= @t574 (_ @t559 (_ @t535 @t558))))) % 0.48/1.02 (assume @p274 (forall @t577 (= @t576 (_ @t562 (_ @t541 @t561))))) % 0.48/1.02 (assume @p275 (forall @t372 (= (= @t581 @t536) @t584))) % 0.48/1.02 (assume @p276 (forall @t377 (= (= @t446 @t522) @t587))) % 0.48/1.02 (assume @p277 (forall @t374 (= (= @t447 @t542) @t590))) % 0.48/1.02 (assume @p278 (forall (@list @t166 @t221 @t368) (= (= @t536 @t581) @t584))) % 0.48/1.02 (assume @p279 (forall (@list @t178 @t237 @t296) (= (= @t522 @t446) @t587))) % 0.48/1.02 (assume @p280 (forall (@list @t172 @t229 @t52) (= (= @t542 @t447) @t590))) % 0.48/1.02 (assume @p281 (= tptp.insert_Secrecy_KS (lambda (@list @t592 @t591) (_ (_ tptp.sup_su1301156759ecy_KS (_ (_ tptp.insert_Secrecy_KS @t592) tptp.bot_bo1943466239ecy_KS)) @t591)))) % 0.48/1.02 (assume @p282 (= tptp.insert1671894227specID (lambda (@list @t594 @t593) (_ (_ tptp.sup_su1712599557specID (_ (_ tptp.insert1671894227specID @t594) tptp.bot_bo1785112429specID)) @t593)))) % 0.48/1.02 (assume @p283 (= tptp.insert751661162chanID (lambda (@list @t596 @t595) (_ (_ tptp.sup_su370684444chanID (_ (_ tptp.insert751661162chanID @t596) tptp.bot_bo443197316chanID)) @t595)))) % 0.48/1.02 (assume @p284 (forall @t599 (= (_ @t598 tptp.bot_bo1943466239ecy_KS) @t597))) % 0.48/1.02 (assume @p285 (forall @t602 (= (_ @t601 tptp.bot_bo1785112429specID) @t600))) % 0.48/1.02 (assume @p286 (forall @t605 (= (_ @t604 tptp.bot_bo443197316chanID) @t603))) % 0.48/1.02 (assume @p287 (forall @t609 (= (= tptp.bot_bo1943466239ecy_KS @t608) @t607))) % 0.48/1.02 (assume @p288 (forall @t613 (= (= tptp.bot_bo1785112429specID @t612) @t611))) % 0.48/1.02 (assume @p289 (forall @t617 (= (= tptp.bot_bo443197316chanID @t616) @t615))) % 0.48/1.02 (assume @p290 (forall @t599 (= (_ @t564 @t597) @t597))) % 0.48/1.02 (assume @p291 (forall @t602 (= (_ @t565 @t600) @t600))) % 0.48/1.02 (assume @p292 (forall @t605 (= (_ @t566 @t603) @t603))) % 0.48/1.02 (assume @p293 (forall @t609 (= (= @t608 tptp.bot_bo1943466239ecy_KS) @t607))) % 0.48/1.02 (assume @p294 (forall @t613 (= (= @t612 tptp.bot_bo1785112429specID) @t611))) % 0.48/1.02 (assume @p295 (forall @t617 (= (= @t616 tptp.bot_bo443197316chanID) @t615))) % 0.48/1.02 (assume @p296 (forall @t619 (= (_ @t564 @t618) @t618))) % 0.48/1.02 (assume @p297 (forall @t621 (= (_ @t565 @t620) @t620))) % 0.48/1.02 (assume @p298 (forall @t623 (= (_ @t566 @t622) @t622))) % 0.48/1.02 (assume @p299 (forall @t619 (= (_ @t624 tptp.bot_bo1943466239ecy_KS) @t618))) % 0.48/1.02 (assume @p300 (forall @t621 (= (_ @t625 tptp.bot_bo1785112429specID) @t620))) % 0.48/1.02 (assume @p301 (forall @t623 (= (_ @t626 tptp.bot_bo443197316chanID) @t622))) % 0.48/1.02 (assume @p302 (forall (@list @t618 @t627) (= (= tptp.bot_bo1943466239ecy_KS (_ @t624 @t627)) (and (= @t618 tptp.bot_bo1943466239ecy_KS) (= @t627 tptp.bot_bo1943466239ecy_KS))))) % 0.48/1.02 (assume @p303 (forall (@list @t620 @t628) (= (= tptp.bot_bo1785112429specID (_ @t625 @t628)) (and (= @t620 tptp.bot_bo1785112429specID) (= @t628 tptp.bot_bo1785112429specID))))) % 0.48/1.02 (assume @p304 (forall (@list @t622 @t629) (= (= tptp.bot_bo443197316chanID (_ @t626 @t629)) (and (= @t622 tptp.bot_bo443197316chanID) (= @t629 tptp.bot_bo443197316chanID))))) % 0.48/1.02 (assume @p305 (forall (@list @t40 @t172 @t39 @t229) (=> (_ (_ @t44 @t172) @t39) (_ (_ @t44 @t542) @t39)))) % 0.48/1.02 (assume @p306 (forall @t130 (=> @t635 (=> @t88 (=> @t631 (=> @t303 @t630)))))) % 0.48/1.02 (assume @p307 (forall @t645 (=> @t644 (=> @t643 (=> @t642 (exists @t102 (and @t640 (_ @t637 (_ tptp.specKeys @t101))))))))) % 0.48/1.02 (assume @p308 (forall @t650 (=> @t644 (=> @t643 (=> @t649 (exists @t102 (and @t640 (_ @t647 (_ tptp.specSecrets @t101))))))))) % 0.48/1.02 (assume @p309 (forall @t133 (=> @t630 (=> @t88 (=> @t631 @t635))))) % 0.48/1.02 (assume @p310 (forall @t650 (=> @t644 (=> @t643 (=> (_ @t647 (_ tptp.specSecrets @t296)) @t649))))) % 0.48/1.02 (assume @p311 (forall @t645 (=> @t644 (=> @t643 (=> (_ @t637 (_ tptp.specKeys @t296)) @t642))))) % 0.48/1.02 (assume @p312 (forall @t130 (=> @t634 (=> @t654 (=> @t88 (=> @t631 (=> (exists @t216 (and @t653 @t212)) @t651))))))) % 0.48/1.02 (assume @p313 (forall @t429 (=> @t654 (=> @t88 (=> @t631 (=> @t656 (=> @t425 @t651))))))) % 0.48/1.02 (assume @p314 (forall @t428 (=> @t88 (=> @t631 (=> @t658 (=> @t657 (=> @t419 (=> @t417 @t651)))))))) % 0.48/1.02 (assume @p315 (forall @t433 (=> @t660 @t659))) % 0.48/1.02 (assume @p316 (forall @t433 (=> @t659 @t660))) % 0.48/1.02 (assume @p317 (forall @t423 (=> @t88 (=> @t631 (=> @t658 (=> @t657 (=> (= @t43 (_ (_ tptp.sup_su370684444chanID @t418) @t416)) (=> @t419 (=> @t417 @t662))))))))) % 0.48/1.02 (assume @p318 (forall @t670 (= @t669 (= @t667 @t665)))) % 0.48/1.02 (assume @p319 (forall @t676 (=> @t675 (=> @t467 (=> @t674 (not @t672)))))) % 0.48/1.02 (assume @p320 (forall @t46 (=> @t677 @t634))) % 0.48/1.02 (assume @p321 (forall @t49 (=> (not @t634) (not @t677)))) % 0.48/1.02 (assume @p322 (forall @t93 (=> @t661 (=> @t88 (=> @t631 @t679))))) % 0.48/1.02 (assume @p323 (forall @t427 (=> @t680 (=> @t88 (=> @t631 (=> @t656 (=> @t425 @t662))))))) % 0.48/1.02 (assume @p324 (forall @t95 (=> @t677 (=> @t680 (=> @t88 (=> @t631 (=> (exists @t216 (and @t653 @t210 @t212)) @t662))))))) % 0.48/1.02 (assume @p325 (forall @t685 (=> @t684 (=> @t682 (=> @t681 @t26))))) % 0.48/1.02 (assume @p326 (forall @t689 (=> @t688 (=> @t687 @t686)))) % 0.48/1.02 (assume @p327 (forall @t685 (=> @t684 (=> @t27 (=> @t681 (not @t682)))))) % 0.48/1.02 (assume @p328 (forall @t689 (= @t688 (= @t687 @t686)))) % 0.48/1.02 (assume @p329 (forall @t676 (=> @t675 (=> @t672 (=> @t674 @t466))))) % 0.48/1.02 (assume @p330 (forall @t670 (=> @t669 (=> @t667 @t665)))) % 0.48/1.02 (assume @p331 (forall @t217 (=> @t677 (=> @t88 (=> @t631 (=> (exists @t216 (and @t691 @t214 @t213 @t210)) @t661)))))) % 0.48/1.02 (assume @p332 (forall @t95 (=> @t679 (=> @t88 (=> @t631 (=> (exists @t216 (and @t694 @t210 @t214 @t213)) @t661)))))) % 0.48/1.02 (assume @p333 (forall @t220 (=> @t634 (=> @t88 (=> @t631 (=> (exists @t216 (and @t693 @t214 @t213)) @t630)))))) % 0.48/1.02 (assume @p334 (forall @t115 (=> @t88 (=> @t631 (=> (_ @t53 (_ tptp.out @t80)) (or (_ @t53 @t692) (_ @t53 @t690))))))) % 0.48/1.02 (assume @p335 (forall @t130 (=> @t635 (=> @t88 (=> @t631 (=> (exists @t216 (and @t694 @t214 @t213)) @t630)))))) % 0.48/1.02 (assume @p336 (forall (@list @t40 @t21 @t462) (=> (_ (_ tptp.ord_le1802272080chanID @t692) (_ tptp.ins @t21)) (=> @t467 (not (_ @t633 @t463)))))) % 0.48/1.02 (assume @p337 @t697) % 0.48/1.02 (assume @p338 true) % 0.48/1.02 (step @p339 (= tptp.ine @t709) :rule refl :args (@t709)) % 0.48/1.02 (step @p340 (= tptp.ineM @t713) :rule refl :args (@t713)) % 0.48/1.02 (step @p341 (= tptp.ine_exprChannelSet @t721) :rule refl :args (@t721)) % 0.48/1.02 (step @p342 (= tptp.ine_ex1303305700Single @t725) :rule refl :args (@t725)) % 0.48/1.02 (step @p343 (= tptp.locStream @t730) :rule refl :args (@t730)) % 0.48/1.02 (step @p344 (= tptp.inStream @t731) :rule refl :args (@t731)) % 0.48/1.02 (step @p345 (= tptp.is_sin1501507247specID @t732) :rule refl :args (@t732)) % 0.48/1.02 (step @p346 (= tptp.is_sin581274182chanID @t733) :rule refl :args (@t733)) % 0.48/1.02 (step @p347 (= tptp.bot_bot_Secrecy_KS_o @t734) :rule refl :args (@t734)) % 0.48/1.02 (step @p348 (= tptp.bot_bo2072920570Keys_o @t735) :rule refl :args (@t735)) % 0.48/1.02 (step @p349 (= tptp.bot_bo1909946299rets_o @t736) :rule refl :args (@t736)) % 0.48/1.02 (step @p350 (= tptp.bot_bo1767780696ecID_o @t737) :rule refl :args (@t737)) % 0.48/1.02 (step @p351 (= tptp.bot_bo1012329985anID_o @t738) :rule refl :args (@t738)) % 0.48/1.02 (step @p352 (= tptp.notSpe1586871396tsExpr @t743) :rule refl :args (@t743)) % 0.48/1.02 (step @p353 (= tptp.eout @t746) :rule refl :args (@t746)) % 0.48/1.02 (step @p354 (= tptp.eoutM @t747) :rule refl :args (@t747)) % 0.48/1.02 (step @p355 (= tptp.out_exprChannelSet @t749) :rule refl :args (@t749)) % 0.48/1.02 (step @p356 (= tptp.out_ex985543062Single @t750) :rule refl :args (@t750)) % 0.48/1.02 (step @p357 (= tptp.outStream @t751) :rule refl :args (@t751)) % 0.48/1.02 (step @p358 :rule refl :args (@t752)) % 0.48/1.02 (step @p359 :rule refl :args (@t1)) % 0.48/1.02 (step @p360 :rule cong :premises (@p359 @p358) :args ((= @t1 @t752))) % 0.48/1.02 (step @p361 :rule symm :premises (@p360)) % 0.48/1.02 (step @p362 :rule eq_resolve :premises (@p359 @p361)) % 0.48/1.02 (step @p363 :rule eq_resolve :premises (@p1 @p362)) % 0.48/1.02 (step @p364 :rule eq-symm :args (@t753 @t755)) % 0.48/1.02 (step @p365 :rule refl :args ((tptp.insert1671894227specID tptp.p @t9))) % 0.48/1.02 (step @p366 :rule refl :args (@t754)) % 0.48/1.02 (step @p367 :rule refl :args (tptp.p)) % 0.48/1.02 (step @p368 :rule cong :premises (@p367 @p366) :args (@t755)) % 0.48/1.02 (step @p369 :rule trans :premises (@p368 @p365)) % 0.48/1.02 (step @p370 :rule refl :args (@t10)) % 0.48/1.02 (step @p371 :rule ho_cong :premises (@p370 @p366)) % 0.48/1.02 (step @p372 :rule cong :premises (@p371 @p369) :args ((= (_ @t10 @t754) @t755))) % 0.48/1.02 (step @p373 :rule symm :premises (@p372)) % 0.48/1.02 (step @p374 :rule refl :args (@t11)) % 0.48/1.02 (step @p375 :rule eq_resolve :premises (@p374 @p373)) % 0.48/1.02 (step @p376 :rule refl :args (@t9)) % 0.48/1.02 (step @p377 :rule cong :premises (@p376 @p366) :args ((= @t9 @t754))) % 0.48/1.02 (step @p378 :rule symm :premises (@p377)) % 0.48/1.02 (step @p379 :rule eq_resolve :premises (@p376 @p378)) % 0.48/1.02 (step @p380 :rule refl :args (@t10)) % 0.48/1.02 (step @p381 :rule ho_cong :premises (@p380 @p379)) % 0.48/1.02 (step @p382 :rule trans :premises (@p381 @p375)) % 0.48/1.02 (step @p383 :rule refl :args (@t753)) % 0.48/1.02 (step @p384 :rule refl :args (@t12)) % 0.48/1.02 (step @p385 :rule cong :premises (@p384 @p383) :args ((= @t12 @t753))) % 0.48/1.02 (step @p386 :rule symm :premises (@p385)) % 0.48/1.02 (step @p387 :rule eq_resolve :premises (@p384 @p386)) % 0.48/1.02 (step @p388 :rule cong :premises (@p387 @p382) :args (@t13)) % 0.48/1.02 (step @p389 :rule trans :premises (@p388 @p364)) % 0.48/1.02 (step @p390 :rule eq_resolve :premises (@p4 @p389)) % 0.48/1.02 (step @p391 :rule 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(@p662 @p637) :args (@t32)) % 0.48/1.02 (step @p664 :rule cong :premises (@p656 @p663) :args (@t33)) % 0.48/1.02 (step @p665 :rule cong :premises (@p664) :args (@t34)) % 0.48/1.02 (step @p666 :rule trans :premises (@p665 @p659)) % 0.48/1.02 (step @p667 :rule eq_resolve :premises (@p7 @p666)) % 0.48/1.02 (step @p668 :rule instantiate :premises (@p667) :args ((@list tptp.q tptp.key))) % 0.48/1.02 (step @p669 :rule refl :args ((tptp.knowle945212990e_know tptp.q @t2))) % 0.48/1.02 (step @p670 :rule refl :args (@t864)) % 0.48/1.02 (step @p671 :rule refl :args (tptp.q)) % 0.48/1.02 (step @p672 :rule cong :premises (@p671 @p670) :args (@t865)) % 0.48/1.02 (step @p673 :rule trans :premises (@p672 @p669)) % 0.48/1.02 (step @p674 :rule refl :args (@t3)) % 0.48/1.02 (step @p675 :rule ho_cong :premises (@p674 @p670)) % 0.48/1.02 (step @p676 :rule cong :premises (@p675 @p673) :args ((= (_ @t3 @t864) @t865))) % 0.48/1.02 (step @p677 :rule symm :premises (@p676)) % 0.48/1.02 (step @p678 :rule refl :args (@t4)) % 0.48/1.02 (step @p679 :rule eq_resolve :premises (@p678 @p677)) % 0.48/1.02 (step @p680 :rule refl :args (@t2)) % 0.48/1.02 (step @p681 :rule cong :premises (@p680 @p670) :args ((= @t2 @t864))) % 0.48/1.02 (step @p682 :rule symm :premises (@p681)) % 0.48/1.02 (step @p683 :rule eq_resolve :premises (@p680 @p682)) % 0.48/1.02 (step @p684 :rule refl :args (@t3)) % 0.48/1.02 (step @p685 :rule ho_cong :premises (@p684 @p683)) % 0.48/1.02 (step @p686 :rule trans :premises (@p685 @p679)) % 0.48/1.02 (step @p687 :rule cong :premises (@p686) :args (@t5)) % 0.48/1.02 (step @p688 :rule eq_resolve :premises (@p2 @p687)) % 0.48/1.02 (step @p689 :rule cnf_equiv_pos2 :args (@t867)) % 0.48/1.02 (step @p690 :rule reordering :premises (@p689) :args ((or @t865 @t868 (not @t867)))) % 0.48/1.02 (step @p691 :rule chain_m_resolution :premises (@p690 @p688 @p668) :args (@t868 @t869 (@list @t865 @t867))) % 0.48/1.02 (step @p692 :rule bool-double-not-elim :args (@t837)) % 0.48/1.02 (step @p693 :rule refl :args (@t866)) % 0.48/1.02 (step @p694 :rule nary_cong :premises (@p693 @p692) :args ((or @t866 (not @t838)))) % 0.48/1.02 (step @p695 :rule cnf_or_neg :args (@t866 0)) % 0.48/1.02 (step @p696 :rule eq_resolve :premises (@p695 @p694)) % 0.48/1.02 (step @p697 :rule reordering :premises (@p696) :args ((or @t837 @t866))) % 0.48/1.02 (step @p698 :rule chain_m_resolution :premises (@p697 @p691) :args (@t837 @t784 (@list @t866))) % 0.48/1.02 (step @p699 :rule instantiate :premises (@p667) :args ((@list tptp.p tptp.key))) % 0.48/1.02 (step @p700 :rule refl :args ((tptp.knowle945212990e_know tptp.p @t2))) % 0.48/1.02 (step @p701 :rule cong :premises (@p367 @p670) :args (@t870)) % 0.48/1.02 (step @p702 :rule trans :premises (@p701 @p700)) % 0.48/1.02 (step @p703 :rule refl :args (@t6)) % 0.48/1.02 (step @p704 :rule ho_cong :premises (@p703 @p670)) % 0.48/1.02 (step @p705 :rule cong :premises (@p704 @p702) :args ((= (_ @t6 @t864) @t870))) % 0.48/1.02 (step @p706 :rule symm :premises (@p705)) % 0.48/1.02 (step @p707 :rule refl :args (@t7)) % 0.48/1.02 (step @p708 :rule eq_resolve :premises (@p707 @p706)) % 0.48/1.02 (step @p709 :rule refl :args (@t6)) % 0.48/1.02 (step @p710 :rule ho_cong :premises (@p709 @p683)) % 0.48/1.02 (step @p711 :rule trans :premises (@p710 @p708)) % 0.48/1.02 (step @p712 :rule cong :premises (@p711) :args (@t8)) % 0.48/1.02 (step @p713 :rule eq_resolve :premises (@p3 @p712)) % 0.48/1.02 (step @p714 :rule cnf_equiv_pos2 :args (@t872)) % 0.48/1.02 (step @p715 :rule reordering :premises (@p714) :args ((or @t870 @t873 (not @t872)))) % 0.48/1.02 (step @p716 :rule chain_m_resolution :premises (@p715 @p713 @p699) :args (@t873 @t869 (@list @t870 @t872))) % 0.48/1.02 (step @p717 :rule bool-double-not-elim :args (@t839)) % 0.48/1.02 (step @p718 :rule refl :args (@t871)) % 0.48/1.02 (step @p719 :rule nary_cong :premises (@p718 @p717) :args ((or @t871 (not @t840)))) % 0.48/1.02 (step @p720 :rule cnf_or_neg :args (@t871 0)) % 0.48/1.02 (step @p721 :rule eq_resolve :premises (@p720 @p719)) % 0.48/1.02 (step @p722 :rule reordering :premises (@p721) :args ((or @t839 @t871))) % 0.48/1.02 (step @p723 :rule chain_m_resolution :premises (@p722 @p716) :args (@t839 @t784 (@list @t871))) % 0.48/1.02 (step @p724 :rule cnf_or_pos :args (@t845)) % 0.48/1.02 (step @p725 :rule reordering :premises (@p724) :args ((or @t835 @t844 @t782 @t781 @t838 @t840 (not @t845)))) % 0.48/1.02 (step @p726 false :rule chain_m_resolution :premises (@p725 @p723 @p698 @p597 @p464 @p458 @p390 @p363) :args (false (@list false false false false false false false) (@list @t839 @t837 @t845 @t780 @t779 @t843 @t752))) % 0.48/1.02 ) % 0.48/1.02 % SZS output end Proof % 0.48/1.02 % cvc5 exiting %------------------------------------------------------------------------------