%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP085^1 : 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 : n002.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 08:25:00 AM UTC 2026 % Result : Theorem 0.47s 1.00s % Output : Proof 0.47s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : ITP085^1 : TPTP v9.2.1. Released v7.5.0. % 0.12/0.14 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.16/0.35 % Computer : n002.cluster.edu % 0.16/0.35 % Model : x86_64 x86_64 % 0.16/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.16/0.35 % Memory : 8042.1875MB % 0.16/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.16/0.35 % CPULimit : 300 % 0.16/0.35 % WCLimit : 300 % 0.16/0.35 % DateTime : Tue Jun 2 04:14:03 EDT 2026 % 0.16/0.35 % CPUTime : % 0.38/0.63 %----Proving TH0 % 0.47/1.00 --- Run --mbqi --mbqi-enum --mbqi-enum-choice-grammar --mbqi-enum-global-syms-grammar --sygus-grammar-ho-partial --no-cegqi --no-sygus-inst at 90s... % 0.47/1.00 % SZS status Theorem % 0.47/1.00 % SZS output start Proof % 0.47/1.00 ( % 0.47/1.00 (declare-sort tptp.list_S529945141ession 0) % 0.47/1.00 (declare-sort tptp.set_li185139947ession 0) % 0.47/1.00 (declare-sort tptp.list_Secrecy_KS 0) % 0.47/1.00 (declare-sort tptp.set_list_Secrecy_KS 0) % 0.47/1.00 (declare-sort tptp.secrecy_KS 0) % 0.47/1.00 (declare-sort tptp.secrecy_Expression 0) % 0.47/1.00 (declare-sort tptp.set_li849033543y_Keys 0) % 0.47/1.00 (declare-sort tptp.secrecy_Keys 0) % 0.47/1.00 (declare-sort tptp.set_li2007071804ecrets 0) % 0.47/1.00 (declare-sort tptp.secrecy_Secrets 0) % 0.47/1.00 (declare-sort tptp.set_Se1942955227ession 0) % 0.47/1.00 (declare-sort tptp.set_Secrecy_KS 0) % 0.47/1.00 (declare-sort tptp.list_l425507653ession 0) % 0.47/1.00 (declare-sort tptp.set_Secrecy_Keys 0) % 0.47/1.00 (declare-sort tptp.secrecy_specID 0) % 0.47/1.00 (declare-sort tptp.list_list_Secrecy_KS 0) % 0.47/1.00 (declare-sort tptp.list_Secrecy_Secrets 0) % 0.47/1.00 (declare-sort tptp.set_Secrecy_Secrets 0) % 0.47/1.00 (declare-sort tptp.list_Secrecy_Keys 0) % 0.47/1.00 (declare-const tptp.nil_Se901661471ession tptp.list_S529945141ession) % 0.47/1.00 (declare-const tptp.knowle731562421_knows (-> tptp.secrecy_specID tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.cons_S112077679ession (-> tptp.secrecy_Expression tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.specKeys (-> tptp.secrecy_specID tptp.set_Secrecy_Keys)) % 0.47/1.00 (declare-const tptp.specSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_Secrets)) % 0.47/1.00 (declare-const tptp.member2138796287ecrets (-> tptp.secrecy_Secrets tptp.set_Secrecy_Secrets Bool)) % 0.47/1.00 (declare-const tptp.secrecy_sE (-> tptp.secrecy_Secrets tptp.secrecy_Expression)) % 0.47/1.00 (declare-const tptp.eout (-> tptp.secrecy_specID tptp.secrecy_Expression Bool)) % 0.47/1.00 (declare-const tptp.member_Secrecy_Keys (-> tptp.secrecy_Keys tptp.set_Secrecy_Keys Bool)) % 0.47/1.00 (declare-const tptp.secrecy_kE (-> tptp.secrecy_Keys tptp.secrecy_Expression)) % 0.47/1.00 (declare-const tptp.specKeysSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.secrecy_sKS (-> tptp.secrecy_Secrets tptp.secrecy_KS)) % 0.47/1.00 (declare-const tptp.member_Secrecy_KS2 (-> tptp.secrecy_KS tptp.set_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.mem_Se1967555118ession (-> tptp.secrecy_Expression tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.secrecy_kKS (-> tptp.secrecy_Keys tptp.secrecy_KS)) % 0.47/1.00 (declare-const tptp.append2089414218ession (-> tptp.list_S529945141ession tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.foldr_1531709715ession (-> (-> tptp.list_S529945141ession tptp.list_S529945141ession tptp.list_S529945141ession) tptp.list_l425507653ession tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.nil_Secrecy_KS tptp.list_Secrecy_KS) % 0.47/1.00 (declare-const tptp.append_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.foldr_1711005747ecy_KS (-> (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS tptp.list_Secrecy_KS) tptp.list_list_Secrecy_KS tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.remdup484344169ession (-> tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.shuffles_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS tptp.set_list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.succes590251810ecy_KS (-> (-> tptp.secrecy_KS tptp.secrecy_KS Bool) tptp.list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.succes1388047762ession (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool) tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.distin1076152135ession (-> tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.tl_Sec1905266422ession (-> tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.tl_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.hd_list_Secrecy_KS (-> tptp.list_list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.hd_lis1623417098ession (-> tptp.list_l425507653ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.hd_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.secrecy_KS)) % 0.47/1.00 (declare-const tptp.hd_Sec357328890ession (-> tptp.list_S529945141ession tptp.secrecy_Expression)) % 0.47/1.00 (declare-const tptp.rev_Se1073238207ession (-> tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.member249235532ession (-> tptp.list_S529945141ession tptp.set_li185139947ession Bool)) % 0.47/1.00 (declare-const tptp.member279582780ession (-> tptp.secrecy_Expression tptp.set_Se1942955227ession Bool)) % 0.47/1.00 (declare-const tptp.member193705948ecy_KS (-> tptp.list_Secrecy_KS tptp.set_list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.member341114536y_Keys (-> tptp.list_Secrecy_Keys tptp.set_li849033543y_Keys Bool)) % 0.47/1.00 (declare-const tptp.nil_Secrecy_Keys tptp.list_Secrecy_Keys) % 0.47/1.00 (declare-const tptp.member1138497285ecrets (-> tptp.list_Secrecy_Secrets tptp.set_li2007071804ecrets Bool)) % 0.47/1.00 (declare-const tptp.cons_Secrecy_Secrets (-> tptp.secrecy_Secrets tptp.list_Secrecy_Secrets tptp.list_Secrecy_Secrets)) % 0.47/1.00 (declare-const tptp.nil_Secrecy_Secrets tptp.list_Secrecy_Secrets) % 0.47/1.00 (declare-const tptp.remdup351570169ecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.bNF_Gr957048817ecrets (-> tptp.set_li2007071804ecrets tptp.list_Secrecy_Secrets tptp.set_Secrecy_Secrets)) % 0.47/1.00 (declare-const tptp.mem_Secrecy_KS (-> tptp.secrecy_KS tptp.list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.last_S1532390982ession (-> tptp.list_S529945141ession tptp.secrecy_Expression)) % 0.47/1.00 (declare-const tptp.last_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.secrecy_KS)) % 0.47/1.00 (declare-const tptp.map_ta623472337ession (-> (-> tptp.secrecy_KS tptp.secrecy_Expression) tptp.list_Secrecy_KS tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.map_ta1624757057ession (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression) tptp.list_S529945141ession tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.secrec1371625429on2KSL (-> tptp.list_S529945141ession tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.subseqs_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.shuffl552897610ession (-> tptp.list_S529945141ession tptp.list_S529945141ession tptp.set_li185139947ession)) % 0.47/1.00 (declare-const tptp.cons_list_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_list_Secrecy_KS tptp.list_list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.insert1173886601ession (-> tptp.secrecy_Expression tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.collect_Secrecy_KS (-> (-> tptp.secrecy_KS Bool) tptp.set_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.nil_li311616943ession tptp.list_l425507653ession) % 0.47/1.00 (declare-const tptp.nil_list_Secrecy_KS tptp.list_list_Secrecy_KS) % 0.47/1.00 (declare-const tptp.subseq348280080ession (-> tptp.list_S529945141ession tptp.list_l425507653ession)) % 0.47/1.00 (declare-const tptp.m tptp.secrecy_Secrets) % 0.47/1.00 (declare-const tptp.list_ex1_Secrecy_KS (-> (-> tptp.secrecy_KS Bool) tptp.list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.enc (-> tptp.secrecy_Keys tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.rev_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.localSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.collec836099393ecrets (-> (-> tptp.secrecy_Secrets Bool) tptp.set_Secrecy_Secrets)) % 0.47/1.00 (declare-const tptp.lexord1123423577ession (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool) tptp.list_S529945141ession tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.distin1495927511ecy_KS (-> tptp.list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.collect_Secrecy_Keys (-> (-> tptp.secrecy_Keys Bool) tptp.set_Secrecy_Keys)) % 0.47/1.00 (declare-const tptp.bNF_Gr414702370y_Keys (-> tptp.set_li849033543y_Keys tptp.secrecy_Keys tptp.set_li849033543y_Keys)) % 0.47/1.00 (declare-const tptp.member2020590922ession (-> tptp.list_S529945141ession tptp.secrecy_Expression Bool)) % 0.47/1.00 (declare-const tptp.cons_Secrecy_Keys (-> tptp.secrecy_Keys tptp.list_Secrecy_Keys tptp.list_Secrecy_Keys)) % 0.47/1.00 (declare-const tptp.a tptp.secrecy_specID) % 0.47/1.00 (declare-const tptp.splice_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.secrec1016742679ession (-> tptp.secrecy_KS tptp.secrecy_Expression)) % 0.47/1.00 (declare-const tptp.bNF_Gr344893606y_Keys (-> tptp.set_li849033543y_Keys tptp.list_Secrecy_Keys tptp.set_Secrecy_Keys)) % 0.47/1.00 (declare-const tptp.produc713695622ecy_KS (-> tptp.list_list_Secrecy_KS tptp.list_list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.knowle945212990e_know (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.cons_Secrecy_KS (-> tptp.secrecy_KS tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.ine (-> tptp.secrecy_specID tptp.secrecy_Expression Bool)) % 0.47/1.00 (declare-const tptp.listre565996059ecy_KS (-> (-> tptp.secrecy_Expression tptp.secrecy_KS Bool) tptp.list_S529945141ession tptp.list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.rotate1_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.knowle233900195orrect (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.cons_l533358079ession (-> tptp.list_S529945141ession tptp.list_l425507653ession tptp.list_l425507653ession)) % 0.47/1.00 (declare-const tptp.list_e1486860828ession (-> (-> tptp.secrecy_Expression Bool) tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.insert_Secrecy_KS (-> tptp.secrecy_KS tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.bNF_Gr577175642ecy_KS (-> tptp.set_list_Secrecy_KS tptp.list_Secrecy_KS tptp.set_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.produc1450295286ession (-> tptp.list_l425507653ession tptp.list_l425507653ession)) % 0.47/1.00 (declare-const tptp.append186372209ecrets (-> tptp.list_Secrecy_Secrets tptp.list_Secrecy_Secrets tptp.list_Secrecy_Secrets)) % 0.47/1.00 (declare-const tptp.sign (-> tptp.secrecy_Keys tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.bind_S711229283ession (-> tptp.list_Secrecy_KS (-> tptp.secrecy_KS tptp.list_S529945141ession) tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.bNF_Gr979629770ession (-> tptp.set_li185139947ession tptp.list_S529945141ession tptp.set_Se1942955227ession)) % 0.47/1.00 (declare-const tptp.lexord948960489ecy_KS (-> (-> tptp.secrecy_KS tptp.secrecy_KS Bool) tptp.list_Secrecy_KS tptp.list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.bind_S1823644515ecy_KS (-> tptp.list_S529945141ession (-> tptp.secrecy_Expression tptp.list_Secrecy_KS) tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.bind_S645462771ecy_KS (-> tptp.list_Secrecy_KS (-> tptp.secrecy_KS tptp.list_Secrecy_KS) tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.bind_S815874003ession (-> tptp.list_S529945141ession (-> tptp.secrecy_Expression tptp.list_S529945141ession) tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.listre788412843ecy_KS (-> (-> tptp.secrecy_KS tptp.secrecy_KS Bool) tptp.list_Secrecy_KS tptp.list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.listre1601064475ession (-> (-> tptp.secrecy_KS tptp.secrecy_Expression Bool) tptp.list_Secrecy_KS tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.butlas171474643ession (-> tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.listre84909707ession (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool) tptp.list_S529945141ession tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.ext (-> tptp.secrecy_Keys tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.bNF_Gr28627573ecrets (-> tptp.set_li2007071804ecrets tptp.secrecy_Secrets tptp.set_li2007071804ecrets)) % 0.47/1.00 (declare-const tptp.member_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.splice1390717708ession (-> tptp.list_S529945141ession tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.maps_S599402637ession (-> (-> tptp.secrecy_Expression tptp.list_S529945141ession) tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.append_Secrecy_Keys (-> tptp.list_Secrecy_Keys tptp.list_Secrecy_Keys tptp.list_Secrecy_Keys)) % 0.47/1.00 (declare-const tptp.encrDecrKeys (-> tptp.secrecy_Keys tptp.secrecy_Keys Bool)) % 0.47/1.00 (declare-const tptp.decr (-> tptp.secrecy_Keys tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.append1105297242ession (-> tptp.list_l425507653ession tptp.list_l425507653ession tptp.list_l425507653ession)) % 0.47/1.00 (declare-const tptp.append1376766698ecy_KS (-> tptp.list_list_Secrecy_KS tptp.list_list_Secrecy_KS tptp.list_list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.rotate1237234450ession (-> tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.maps_S399472669ecy_KS (-> (-> tptp.secrecy_Expression tptp.list_Secrecy_KS) tptp.list_S529945141ession tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.bNF_Gr275623750ession (-> tptp.set_li185139947ession tptp.secrecy_Expression tptp.set_li185139947ession)) % 0.47/1.00 (declare-const tptp.maps_S1434541085ession (-> (-> tptp.secrecy_KS tptp.list_S529945141ession) tptp.list_Secrecy_KS tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.bNF_Gr660123862ecy_KS (-> tptp.set_list_Secrecy_KS tptp.secrecy_KS tptp.set_list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.maps_S377605037ecy_KS (-> (-> tptp.secrecy_KS tptp.list_Secrecy_KS) tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.butlast_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (define tptp.knowle1268625169orrect () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "C2" tptp.secrecy_specID))) (let ((_let_3 (@var "S2" tptp.secrecy_Secrets))) (let ((_let_4 (@var "K4" tptp.secrecy_Keys))) (lambda (@list _let_2 _let_1) (= (_ (_ tptp.eout _let_2) _let_1) (or (exists (@list _let_4) (and (= _let_1 (_ tptp.secrecy_kE _let_4)) (_ (_ tptp.member_Secrecy_Keys _let_4) (_ tptp.specKeys _let_2)))) (exists (@list _let_3) (and (= _let_1 (_ tptp.secrecy_sE _let_3)) (_ (_ tptp.member2138796287ecrets _let_3) (_ tptp.specSecrets _let_2)))) (_ (_ tptp.knowle731562421_knows _let_2) (_ (_ tptp.cons_S112077679ession _let_1) tptp.nil_Se901661471ession)))))))))) % 0.47/1.00 (define tptp.notSpe1586871396tsExpr () (let ((_let_1 (@var "P3" tptp.secrecy_specID))) (let ((_let_2 (_ tptp.specKeysSecrets _let_1))) (let ((_let_3 (@var "Y3" tptp.secrecy_Secrets))) (let ((_let_4 (@var "E2" tptp.list_S529945141ession))) (let ((_let_5 (@var "X4" tptp.secrecy_Keys))) (lambda (@list _let_1 _let_4) (and (forall (@list _let_5) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_kE _let_5)) _let_4) (not (_ (_ tptp.member_Secrecy_KS2 (_ 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_KS2 (_ tptp.secrecy_sKS _let_3)) _let_2)))))))))))) % 0.47/1.00 (define tptp.concat388015140ession () (let ((_let_1 (@var "Xss3" tptp.list_l425507653ession))) (lambda (@list _let_1) (_ (_ (_ tptp.foldr_1531709715ession tptp.append2089414218ession) _let_1) tptp.nil_Se901661471ession)))) % 0.47/1.00 (define tptp.concat_Secrecy_KS () (let ((_let_1 (@var "Xss3" tptp.list_list_Secrecy_KS))) (lambda (@list _let_1) (_ (_ (_ tptp.foldr_1711005747ecy_KS tptp.append_Secrecy_KS) _let_1) tptp.nil_Secrecy_KS)))) % 0.47/1.00 (define @t1 () (_ tptp.secrecy_sE tptp.m)) % 0.47/1.00 (define @t2 () (_ (_ tptp.cons_S112077679ession @t1) tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t3 () (_ tptp.knowle731562421_knows tptp.a)) % 0.47/1.00 (define @t4 () (_ @t3 @t2)) % 0.47/1.00 (define @t5 () (@var "Y2" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t6 () (@var "X2" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t7 () (= @t6 @t5)) % 0.47/1.00 (define @t8 () (_ tptp.secrecy_sKS @t6)) % 0.47/1.00 (define @t9 () (@list @t6 @t5)) % 0.47/1.00 (define @t10 () (@var "M" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t11 () (_ tptp.secrecy_sE @t10)) % 0.47/1.00 (define @t12 () (@var "A" tptp.secrecy_specID)) % 0.47/1.00 (define @t13 () (_ tptp.knowle731562421_knows @t12)) % 0.47/1.00 (define @t14 () (_ tptp.secrecy_sKS @t10)) % 0.47/1.00 (define @t15 () (_ tptp.knowle945212990e_know @t12)) % 0.47/1.00 (define @t16 () (_ @t15 @t14)) % 0.47/1.00 (define @t17 () (@list @t12 @t10)) % 0.47/1.00 (define @t18 () (@var "M2" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t19 () (_ tptp.secrecy_sKS @t18)) % 0.47/1.00 (define @t20 () (@var "C" tptp.secrecy_specID)) % 0.47/1.00 (define @t21 () (_ tptp.knowle945212990e_know @t20)) % 0.47/1.00 (define @t22 () (_ @t21 @t19)) % 0.47/1.00 (define @t23 () (_ tptp.secrec1016742679ession @t19)) % 0.47/1.00 (define @t24 () (_ (_ tptp.cons_S112077679ession @t23) tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t25 () (_ tptp.knowle731562421_knows @t20)) % 0.47/1.00 (define @t26 () (_ @t25 @t24)) % 0.47/1.00 (define @t27 () (= @t26 @t22)) % 0.47/1.00 (define @t28 () (@list @t20 @t18)) % 0.47/1.00 (define @t29 () (forall @t28 @t27)) % 0.47/1.00 (define @t30 () (_ tptp.specSecrets @t20)) % 0.47/1.00 (define @t31 () (or (_ (_ tptp.member2138796287ecrets @t10) @t30) (_ @t21 @t14))) % 0.47/1.00 (define @t32 () (_ tptp.eout @t20)) % 0.47/1.00 (define @t33 () (_ @t32 @t11)) % 0.47/1.00 (define @t34 () (_ tptp.knowle233900195orrect @t20)) % 0.47/1.00 (define @t35 () (_ @t34 @t14)) % 0.47/1.00 (define @t36 () (@list @t20 @t10)) % 0.47/1.00 (define @t37 () (_ tptp.localSecrets @t12)) % 0.47/1.00 (define @t38 () (_ tptp.ine @t12)) % 0.47/1.00 (define @t39 () (_ tptp.secrec1016742679ession @t14)) % 0.47/1.00 (define @t40 () (@list @t10)) % 0.47/1.00 (define @t41 () (forall @t40 (= @t39 @t11))) % 0.47/1.00 (define @t42 () (@var "E" tptp.list_S529945141ession)) % 0.47/1.00 (define @t43 () (_ @t13 @t42)) % 0.47/1.00 (define @t44 () (@var "K1" tptp.secrecy_Keys)) % 0.47/1.00 (define @t45 () (@var "K2" tptp.secrecy_Keys)) % 0.47/1.00 (define @t46 () (@var "IncrDecrKeys" (-> tptp.secrecy_Keys tptp.secrecy_Keys Bool))) % 0.47/1.00 (define @t47 () (_ (_ @t46 @t44) @t45)) % 0.47/1.00 (define @t48 () (@list @t46 @t44 @t45 @t12 @t42)) % 0.47/1.00 (define @t49 () (@var "E1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t50 () (@var "K" tptp.secrecy_Keys)) % 0.47/1.00 (define @t51 () (_ @t13 @t49)) % 0.47/1.00 (define @t52 () (and (_ @t15 (_ tptp.secrecy_kKS @t50)) @t51)) % 0.47/1.00 (define @t53 () (@list @t12 @t50 @t49)) % 0.47/1.00 (define @t54 () (@var "Y1" tptp.secrecy_Keys)) % 0.47/1.00 (define @t55 () (@var "X1" tptp.secrecy_Keys)) % 0.47/1.00 (define @t56 () (= @t55 @t54)) % 0.47/1.00 (define @t57 () (_ tptp.secrecy_kKS @t55)) % 0.47/1.00 (define @t58 () (@list @t55 @t54)) % 0.47/1.00 (define @t59 () (_ tptp.secrecy_sE @t6)) % 0.47/1.00 (define @t60 () (@var "M1" tptp.secrecy_Keys)) % 0.47/1.00 (define @t61 () (_ tptp.secrecy_kKS @t60)) % 0.47/1.00 (define @t62 () (@var "X22" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t63 () (@var "Y" tptp.secrecy_KS)) % 0.47/1.00 (define @t64 () (@var "X12" tptp.secrecy_Keys)) % 0.47/1.00 (define @t65 () (@list @t63)) % 0.47/1.00 (define @t66 () (@var "KS" tptp.secrecy_KS)) % 0.47/1.00 (define @t67 () (@var "P" (-> tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t68 () (@var "X" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t69 () (@var "X" tptp.secrecy_Keys)) % 0.47/1.00 (define @t70 () (@list @t55 @t6)) % 0.47/1.00 (define @t71 () (@var "Y22" tptp.list_S529945141ession)) % 0.47/1.00 (define @t72 () (@var "X222" tptp.list_S529945141ession)) % 0.47/1.00 (define @t73 () (@var "Y21" tptp.secrecy_Expression)) % 0.47/1.00 (define @t74 () (@var "X21" tptp.secrecy_Expression)) % 0.47/1.00 (define @t75 () (_ (_ tptp.cons_S112077679ession @t74) @t72)) % 0.47/1.00 (define @t76 () (@var "X222" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t77 () (@var "X21" tptp.secrecy_KS)) % 0.47/1.00 (define @t78 () (_ (_ tptp.cons_Secrecy_KS @t77) @t76)) % 0.47/1.00 (define @t79 () (@list @t74 @t72)) % 0.47/1.00 (define @t80 () (@var "List" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t81 () (= @t80 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t82 () (not @t81)) % 0.47/1.00 (define @t83 () (@var "List" tptp.list_S529945141ession)) % 0.47/1.00 (define @t84 () (= @t83 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t85 () (not @t84)) % 0.47/1.00 (define @t86 () (@var "X223" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t87 () (@var "X212" tptp.secrecy_KS)) % 0.47/1.00 (define @t88 () (@var "Y" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t89 () (not (= @t88 tptp.nil_Secrecy_KS))) % 0.47/1.00 (define @t90 () (@var "X223" tptp.list_S529945141ession)) % 0.47/1.00 (define @t91 () (@var "X212" tptp.secrecy_Expression)) % 0.47/1.00 (define @t92 () (@var "Y" tptp.list_S529945141ession)) % 0.47/1.00 (define @t93 () (not (= @t92 tptp.nil_Se901661471ession))) % 0.47/1.00 (define @t94 () (@var "P" (-> tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t95 () (@var "X22" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t96 () (@var "X12" tptp.secrecy_KS)) % 0.47/1.00 (define @t97 () (_ @t94 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t98 () (@var "P" (-> tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t99 () (@var "X22" tptp.list_S529945141ession)) % 0.47/1.00 (define @t100 () (@var "X12" tptp.secrecy_Expression)) % 0.47/1.00 (define @t101 () (_ @t98 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t102 () (@var "Ys" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t103 () (@var "Y3" tptp.secrecy_KS)) % 0.47/1.00 (define @t104 () (_ (_ tptp.cons_Secrecy_KS @t103) @t102)) % 0.47/1.00 (define @t105 () (@var "Xs" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t106 () (= @t105 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t107 () (not @t106)) % 0.47/1.00 (define @t108 () (@list @t105)) % 0.47/1.00 (define @t109 () (@var "Ys" tptp.list_S529945141ession)) % 0.47/1.00 (define @t110 () (@var "Y3" tptp.secrecy_Expression)) % 0.47/1.00 (define @t111 () (_ (_ tptp.cons_S112077679ession @t110) @t109)) % 0.47/1.00 (define @t112 () (@var "Xs" tptp.list_S529945141ession)) % 0.47/1.00 (define @t113 () (= @t112 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t114 () (not @t113)) % 0.47/1.00 (define @t115 () (@list @t112)) % 0.47/1.00 (define @t116 () (@var "Ys2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t117 () (@var "P" (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t118 () (@var "Ys3" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t119 () (@var "Y4" tptp.secrecy_KS)) % 0.47/1.00 (define @t120 () (_ tptp.cons_Secrecy_KS @t119)) % 0.47/1.00 (define @t121 () (_ @t120 @t118)) % 0.47/1.00 (define @t122 () (@var "Xs2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t123 () (@var "X" tptp.secrecy_KS)) % 0.47/1.00 (define @t124 () (_ tptp.cons_Secrecy_KS @t123)) % 0.47/1.00 (define @t125 () (_ @t124 @t122)) % 0.47/1.00 (define @t126 () (_ @t117 @t125)) % 0.47/1.00 (define @t127 () (_ @t126 @t121)) % 0.47/1.00 (define @t128 () (_ @t117 @t122)) % 0.47/1.00 (define @t129 () (=> (_ @t128 @t118) @t127)) % 0.47/1.00 (define @t130 () (@list @t123 @t122 @t119 @t118)) % 0.47/1.00 (define @t131 () (_ @t117 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t132 () (@list @t119 @t118)) % 0.47/1.00 (define @t133 () (@list @t123 @t122)) % 0.47/1.00 (define @t134 () (_ @t131 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t135 () (@var "Ys2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t136 () (@var "P" (-> tptp.list_Secrecy_KS tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t137 () (@var "Ys3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t138 () (@var "Y4" tptp.secrecy_Expression)) % 0.47/1.00 (define @t139 () (_ tptp.cons_S112077679ession @t138)) % 0.47/1.00 (define @t140 () (_ @t139 @t137)) % 0.47/1.00 (define @t141 () (_ @t136 @t125)) % 0.47/1.00 (define @t142 () (=> (_ (_ @t136 @t122) @t137) (_ @t141 @t140))) % 0.47/1.00 (define @t143 () (_ @t136 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t144 () (@list @t138 @t137)) % 0.47/1.00 (define @t145 () (_ @t143 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t146 () (@var "P" (-> tptp.list_S529945141ession tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t147 () (@var "Xs2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t148 () (@var "X" tptp.secrecy_Expression)) % 0.47/1.00 (define @t149 () (_ tptp.cons_S112077679ession @t148)) % 0.47/1.00 (define @t150 () (_ @t149 @t147)) % 0.47/1.00 (define @t151 () (_ @t146 @t150)) % 0.47/1.00 (define @t152 () (=> (_ (_ @t146 @t147) @t118) (_ @t151 @t121))) % 0.47/1.00 (define @t153 () (_ @t146 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t154 () (@list @t148 @t147)) % 0.47/1.00 (define @t155 () (_ @t153 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t156 () (@var "P" (-> tptp.list_S529945141ession tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t157 () (_ @t156 @t150)) % 0.47/1.00 (define @t158 () (_ @t157 @t140)) % 0.47/1.00 (define @t159 () (_ @t156 @t147)) % 0.47/1.00 (define @t160 () (=> (_ @t159 @t137) @t158)) % 0.47/1.00 (define @t161 () (@list @t148 @t147 @t138 @t137)) % 0.47/1.00 (define @t162 () (_ @t156 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t163 () (_ @t162 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t164 () (@var "A1" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t165 () (@var "A0" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t166 () (_ (_ @t117 @t165) @t164)) % 0.47/1.00 (define @t167 () (_ @t126 @t118)) % 0.47/1.00 (define @t168 () (@var "X_1" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t169 () (forall (@list @t168) (_ @t131 @t168))) % 0.47/1.00 (define @t170 () (@list @t117 @t165 @t164)) % 0.47/1.00 (define @t171 () (@var "A1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t172 () (@var "A0" tptp.list_S529945141ession)) % 0.47/1.00 (define @t173 () (_ (_ @t156 @t172) @t171)) % 0.47/1.00 (define @t174 () (_ @t157 @t137)) % 0.47/1.00 (define @t175 () (@var "X_1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t176 () (forall (@list @t175) (_ @t162 @t175))) % 0.47/1.00 (define @t177 () (@list @t156 @t172 @t171)) % 0.47/1.00 (define @t178 () (_ @t94 @t105)) % 0.47/1.00 (define @t179 () (@var "Zs" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t180 () (_ @t120 @t179)) % 0.47/1.00 (define @t181 () (_ @t124 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t182 () (@list @t123)) % 0.47/1.00 (define @t183 () (forall @t182 (_ @t94 @t181))) % 0.47/1.00 (define @t184 () (@list @t94 @t105)) % 0.47/1.00 (define @t185 () (_ @t98 @t112)) % 0.47/1.00 (define @t186 () (@var "Zs" tptp.list_S529945141ession)) % 0.47/1.00 (define @t187 () (_ @t139 @t186)) % 0.47/1.00 (define @t188 () (_ @t149 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t189 () (@list @t148)) % 0.47/1.00 (define @t190 () (forall @t189 (_ @t98 @t188))) % 0.47/1.00 (define @t191 () (@list @t98 @t112)) % 0.47/1.00 (define @t192 () (@var "X3" tptp.secrecy_Expression)) % 0.47/1.00 (define @t193 () (_ tptp.cons_S112077679ession @t192)) % 0.47/1.00 (define @t194 () (_ @t193 @t112)) % 0.47/1.00 (define @t195 () (@list @t192 @t112)) % 0.47/1.00 (define @t196 () (@var "A2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t197 () (@var "A0" (-> tptp.secrecy_KS tptp.secrecy_Expression))) % 0.47/1.00 (define @t198 () (@var "P" (-> (-> tptp.secrecy_KS tptp.secrecy_Expression) tptp.list_Secrecy_KS tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t199 () (@var "Bs" tptp.list_S529945141ession)) % 0.47/1.00 (define @t200 () (@var "As" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t201 () (@var "A3" tptp.secrecy_KS)) % 0.47/1.00 (define @t202 () (_ (_ tptp.cons_Secrecy_KS @t201) @t200)) % 0.47/1.00 (define @t203 () (@var "F" (-> tptp.secrecy_KS tptp.secrecy_Expression))) % 0.47/1.00 (define @t204 () (_ @t198 @t203)) % 0.47/1.00 (define @t205 () (@var "A0" (-> tptp.secrecy_Expression tptp.secrecy_Expression))) % 0.47/1.00 (define @t206 () (@var "P" (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression) tptp.list_S529945141ession tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t207 () (@var "As" tptp.list_S529945141ession)) % 0.47/1.00 (define @t208 () (@var "A3" tptp.secrecy_Expression)) % 0.47/1.00 (define @t209 () (_ (_ tptp.cons_S112077679ession @t208) @t207)) % 0.47/1.00 (define @t210 () (@var "F" (-> tptp.secrecy_Expression tptp.secrecy_Expression))) % 0.47/1.00 (define @t211 () (_ @t206 @t210)) % 0.47/1.00 (define @t212 () (_ @t94 @t125)) % 0.47/1.00 (define @t213 () (_ @t94 @t122)) % 0.47/1.00 (define @t214 () (not (= @t122 tptp.nil_Secrecy_KS))) % 0.47/1.00 (define @t215 () (@list @t105 @t94)) % 0.47/1.00 (define @t216 () (_ @t98 @t150)) % 0.47/1.00 (define @t217 () (_ @t98 @t147)) % 0.47/1.00 (define @t218 () (not (= @t147 tptp.nil_Se901661471ession))) % 0.47/1.00 (define @t219 () (@list @t112 @t98)) % 0.47/1.00 (define @t220 () (@var "A0" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t221 () (@var "P" (-> (-> tptp.secrecy_KS tptp.secrecy_KS Bool) tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t222 () (_ (_ @t221 @t220) @t164)) % 0.47/1.00 (define @t223 () (_ @t120 @t122)) % 0.47/1.00 (define @t224 () (_ @t124 @t223)) % 0.47/1.00 (define @t225 () (@var "P2" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t226 () (_ @t221 @t225)) % 0.47/1.00 (define @t227 () (forall (@list @t225) (_ @t226 tptp.nil_Secrecy_KS))) % 0.47/1.00 (define @t228 () (@list @t221 @t220 @t164)) % 0.47/1.00 (define @t229 () (@var "A0" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t230 () (@var "P" (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool) tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t231 () (_ (_ @t230 @t229) @t171)) % 0.47/1.00 (define @t232 () (_ @t139 @t147)) % 0.47/1.00 (define @t233 () (_ @t149 @t232)) % 0.47/1.00 (define @t234 () (@var "P2" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t235 () (_ @t230 @t234)) % 0.47/1.00 (define @t236 () (forall (@list @t234) (_ @t235 tptp.nil_Se901661471ession))) % 0.47/1.00 (define @t237 () (@list @t230 @t229 @t171)) % 0.47/1.00 (define @t238 () (= @t123 @t119)) % 0.47/1.00 (define @t239 () (not @t238)) % 0.47/1.00 (define @t240 () (@list @t123 @t119 @t122)) % 0.47/1.00 (define @t241 () (= @t148 @t138)) % 0.47/1.00 (define @t242 () (not @t241)) % 0.47/1.00 (define @t243 () (@list @t148 @t138 @t147)) % 0.47/1.00 (define @t244 () (@var "X3" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t245 () (= @t244 @t224)) % 0.47/1.00 (define @t246 () (= @t244 @t181)) % 0.47/1.00 (define @t247 () (= @t244 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t248 () (@var "X3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t249 () (= @t248 @t233)) % 0.47/1.00 (define @t250 () (= @t248 @t188)) % 0.47/1.00 (define @t251 () (= @t248 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t252 () (@var "A4" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t253 () (@var "P" (-> tptp.secrecy_Secrets Bool))) % 0.47/1.00 (define @t254 () (@var "A4" tptp.secrecy_KS)) % 0.47/1.00 (define @t255 () (@var "A4" tptp.secrecy_Keys)) % 0.47/1.00 (define @t256 () (@var "P" (-> tptp.secrecy_Keys Bool))) % 0.47/1.00 (define @t257 () (@var "A" tptp.set_Secrecy_Secrets)) % 0.47/1.00 (define @t258 () (@var "X4" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t259 () (@var "A" tptp.set_Secrecy_KS)) % 0.47/1.00 (define @t260 () (@var "X4" tptp.secrecy_KS)) % 0.47/1.00 (define @t261 () (@list @t260)) % 0.47/1.00 (define @t262 () (@var "A" tptp.set_Secrecy_Keys)) % 0.47/1.00 (define @t263 () (@var "X4" tptp.secrecy_Keys)) % 0.47/1.00 (define @t264 () (@list @t263)) % 0.47/1.00 (define @t265 () (@var "Xss" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t266 () (@var "X3" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t267 () (_ tptp.cons_list_Secrecy_KS tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t268 () (@var "Xss" tptp.list_l425507653ession)) % 0.47/1.00 (define @t269 () (@var "X3" tptp.list_l425507653ession)) % 0.47/1.00 (define @t270 () (_ tptp.cons_l533358079ession tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t271 () (@list @t122)) % 0.47/1.00 (define @t272 () (@list @t147)) % 0.47/1.00 (define @t273 () (@var "M" tptp.secrecy_Keys)) % 0.47/1.00 (define @t274 () (_ tptp.secrecy_kE @t273)) % 0.47/1.00 (define @t275 () (_ (_ tptp.cons_S112077679ession @t274) tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t276 () (_ @t13 @t275)) % 0.47/1.00 (define @t277 () (_ tptp.secrecy_kKS @t273)) % 0.47/1.00 (define @t278 () (_ @t15 @t277)) % 0.47/1.00 (define @t279 () (@list @t12 @t273)) % 0.47/1.00 (define @t280 () (@var "Q" tptp.secrecy_specID)) % 0.47/1.00 (define @t281 () (@var "P" tptp.secrecy_specID)) % 0.47/1.00 (define @t282 () (or (_ (_ tptp.knowle731562421_knows @t281) @t275) (_ (_ tptp.knowle731562421_knows @t280) @t275))) % 0.47/1.00 (define @t283 () (or (_ (_ tptp.knowle945212990e_know @t281) @t277) (_ (_ tptp.knowle945212990e_know @t280) @t277))) % 0.47/1.00 (define @t284 () (@list @t281 @t273 @t280)) % 0.47/1.00 (define @t285 () (not @t276)) % 0.47/1.00 (define @t286 () (not @t278)) % 0.47/1.00 (define @t287 () (@var "X3" tptp.secrecy_KS)) % 0.47/1.00 (define @t288 () (_ tptp.cons_Secrecy_KS @t287)) % 0.47/1.00 (define @t289 () (_ @t288 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t290 () (@list @t287)) % 0.47/1.00 (define @t291 () (_ @t193 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t292 () (@list @t192)) % 0.47/1.00 (define @t293 () (_ tptp.secrecy_kE @t55)) % 0.47/1.00 (define @t294 () (_ tptp.specKeys @t20)) % 0.47/1.00 (define @t295 () (or (_ (_ tptp.member_Secrecy_Keys @t273) @t294) (_ @t21 @t277))) % 0.47/1.00 (define @t296 () (_ @t32 @t274)) % 0.47/1.00 (define @t297 () (_ @t34 @t277)) % 0.47/1.00 (define @t298 () (@list @t20 @t273)) % 0.47/1.00 (define @t299 () (@var "E" tptp.secrecy_Expression)) % 0.47/1.00 (define @t300 () (@var "S" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t301 () (@var "K3" tptp.secrecy_Keys)) % 0.47/1.00 (define @t302 () (_ @t270 tptp.nil_li311616943ession)) % 0.47/1.00 (define @t303 () (_ @t267 tptp.nil_list_Secrecy_KS)) % 0.47/1.00 (define @t304 () (@var "P" (-> tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t305 () (@var "Xb" tptp.list_S529945141ession)) % 0.47/1.00 (define @t306 () (@var "X3" (-> tptp.secrecy_KS tptp.secrecy_Expression))) % 0.47/1.00 (define @t307 () (_ tptp.map_ta623472337ession @t306)) % 0.47/1.00 (define @t308 () (@var "Xa" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t309 () (not (= @t92 @t305))) % 0.47/1.00 (define @t310 () (= @t308 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t311 () (@var "X3" (-> tptp.secrecy_Expression tptp.secrecy_Expression))) % 0.47/1.00 (define @t312 () (_ tptp.map_ta1624757057ession @t311)) % 0.47/1.00 (define @t313 () (@var "Xa" tptp.list_S529945141ession)) % 0.47/1.00 (define @t314 () (= @t313 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t315 () (_ @t288 @t105)) % 0.47/1.00 (define @t316 () (@var "Less" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t317 () (_ tptp.lexord948960489ecy_KS @t316)) % 0.47/1.00 (define @t318 () (@var "Less" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t319 () (_ tptp.lexord1123423577ession @t318)) % 0.47/1.00 (define @t320 () (_ @t319 @t194)) % 0.47/1.00 (define @t321 () (@var "F2" (-> tptp.secrecy_Expression tptp.list_S529945141ession))) % 0.47/1.00 (define @t322 () (@list @t321)) % 0.47/1.00 (define @t323 () (@var "F2" (-> tptp.secrecy_Expression tptp.list_Secrecy_KS))) % 0.47/1.00 (define @t324 () (@list @t323)) % 0.47/1.00 (define @t325 () (@var "F2" (-> tptp.secrecy_KS tptp.list_S529945141ession))) % 0.47/1.00 (define @t326 () (@list @t325)) % 0.47/1.00 (define @t327 () (@var "F2" (-> tptp.secrecy_KS tptp.list_Secrecy_KS))) % 0.47/1.00 (define @t328 () (@list @t327)) % 0.47/1.00 (define @t329 () (@var "X2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t330 () (@var "X1" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t331 () (_ (_ @t117 @t330) @t329)) % 0.47/1.00 (define @t332 () (@var "R" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t333 () (_ tptp.listre788412843ecy_KS @t332)) % 0.47/1.00 (define @t334 () (_ (_ @t333 @t122) @t118)) % 0.47/1.00 (define @t335 () (_ (_ @t332 @t123) @t119)) % 0.47/1.00 (define @t336 () (@list @t123 @t119 @t122 @t118)) % 0.47/1.00 (define @t337 () (@var "X2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t338 () (@var "R" (-> tptp.secrecy_KS tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t339 () (_ tptp.listre1601064475ession @t338)) % 0.47/1.00 (define @t340 () (_ (_ @t339 @t122) @t137)) % 0.47/1.00 (define @t341 () (_ (_ @t338 @t123) @t138)) % 0.47/1.00 (define @t342 () (@var "X1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t343 () (@var "R" (-> tptp.secrecy_Expression tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t344 () (_ tptp.listre565996059ecy_KS @t343)) % 0.47/1.00 (define @t345 () (_ (_ @t344 @t147) @t118)) % 0.47/1.00 (define @t346 () (_ (_ @t343 @t148) @t119)) % 0.47/1.00 (define @t347 () (_ (_ @t156 @t342) @t337)) % 0.47/1.00 (define @t348 () (@var "R" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t349 () (_ tptp.listre84909707ession @t348)) % 0.47/1.00 (define @t350 () (_ (_ @t349 @t147) @t137)) % 0.47/1.00 (define @t351 () (_ (_ @t348 @t148) @t138)) % 0.47/1.00 (define @t352 () (@list @t148 @t138 @t147 @t137)) % 0.47/1.00 (define @t353 () (@var "Xs3" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t354 () (@var "R2" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t355 () (@var "A22" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t356 () (= @t355 @t104)) % 0.47/1.00 (define @t357 () (_ tptp.cons_Secrecy_KS @t260)) % 0.47/1.00 (define @t358 () (@var "A12" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t359 () (= @t358 (_ @t357 @t353))) % 0.47/1.00 (define @t360 () (@list @t260 @t103 @t353 @t102)) % 0.47/1.00 (define @t361 () (= @t355 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t362 () (= @t358 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t363 () (@var "R2" (-> tptp.secrecy_KS tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t364 () (@var "A22" tptp.list_S529945141ession)) % 0.47/1.00 (define @t365 () (= @t364 @t111)) % 0.47/1.00 (define @t366 () (= @t364 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t367 () (@var "Xs3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t368 () (@var "R2" (-> tptp.secrecy_Expression tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t369 () (@var "X4" tptp.secrecy_Expression)) % 0.47/1.00 (define @t370 () (_ tptp.cons_S112077679ession @t369)) % 0.47/1.00 (define @t371 () (@var "A12" tptp.list_S529945141ession)) % 0.47/1.00 (define @t372 () (= @t371 (_ @t370 @t367))) % 0.47/1.00 (define @t373 () (= @t371 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t374 () (@var "R2" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t375 () (@list @t369 @t110 @t367 @t109)) % 0.47/1.00 (define @t376 () (_ @t319 @t112)) % 0.47/1.00 (define @t377 () (_ @t376 @t135)) % 0.47/1.00 (define @t378 () (@var "Y" tptp.secrecy_Expression)) % 0.47/1.00 (define @t379 () (not (_ (_ @t318 @t378) @t192))) % 0.47/1.00 (define @t380 () (_ (_ @t318 @t192) @t378)) % 0.47/1.00 (define @t381 () (_ tptp.cons_S112077679ession @t378)) % 0.47/1.00 (define @t382 () (_ @t381 @t135)) % 0.47/1.00 (define @t383 () (_ @t320 @t382)) % 0.47/1.00 (define @t384 () (@list @t318 @t192 @t378 @t112 @t135)) % 0.47/1.00 (define @t385 () (@var "Bs2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t386 () (@var "A4" tptp.secrecy_Expression)) % 0.47/1.00 (define @t387 () (@var "F2" (-> tptp.secrecy_Expression tptp.secrecy_Expression))) % 0.47/1.00 (define @t388 () (@var "As2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t389 () (_ tptp.map_ta1624757057ession @t387)) % 0.47/1.00 (define @t390 () (_ tptp.cons_S112077679ession @t386)) % 0.47/1.00 (define @t391 () (_ (_ @t317 @t122) @t118)) % 0.47/1.00 (define @t392 () (not (_ (_ @t316 @t119) @t123))) % 0.47/1.00 (define @t393 () (_ (_ @t316 @t123) @t119)) % 0.47/1.00 (define @t394 () (not @t393)) % 0.47/1.00 (define @t395 () (@var "A2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t396 () (= @t395 @t121)) % 0.47/1.00 (define @t397 () (@list @t118)) % 0.47/1.00 (define @t398 () (= @t164 @t125)) % 0.47/1.00 (define @t399 () (= @t164 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t400 () (_ (_ @t319 @t147) @t137)) % 0.47/1.00 (define @t401 () (not (_ (_ @t318 @t138) @t148))) % 0.47/1.00 (define @t402 () (_ (_ @t318 @t148) @t138)) % 0.47/1.00 (define @t403 () (not @t402)) % 0.47/1.00 (define @t404 () (= @t196 @t140)) % 0.47/1.00 (define @t405 () (@list @t137)) % 0.47/1.00 (define @t406 () (= @t171 @t150)) % 0.47/1.00 (define @t407 () (= @t171 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t408 () (@var "Less2" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t409 () (_ (_ @t408 @t260) @t103)) % 0.47/1.00 (define @t410 () (@var "Less2" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t411 () (_ (_ @t410 @t369) @t110)) % 0.47/1.00 (define @t412 () (not (= @t395 tptp.nil_Secrecy_KS))) % 0.47/1.00 (define @t413 () (not (= @t196 tptp.nil_Se901661471ession))) % 0.47/1.00 (define @t414 () (_ tptp.notSpe1586871396tsExpr @t281)) % 0.47/1.00 (define @t415 () (@var "L" tptp.list_S529945141ession)) % 0.47/1.00 (define @t416 () (_ @t414 (_ @t390 @t415))) % 0.47/1.00 (define @t417 () (@list @t281 @t386 @t415)) % 0.47/1.00 (define @t418 () (= @t192 @t378)) % 0.47/1.00 (define @t419 () (_ tptp.append2089414218ession (_ @t321 @t192))) % 0.47/1.00 (define @t420 () (@var "C3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t421 () (@var "B" tptp.list_S529945141ession)) % 0.47/1.00 (define @t422 () (@var "A4" tptp.list_S529945141ession)) % 0.47/1.00 (define @t423 () (_ tptp.append2089414218ession @t422)) % 0.47/1.00 (define @t424 () (@var "Zs2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t425 () (_ tptp.append2089414218ession @t135)) % 0.47/1.00 (define @t426 () (_ @t425 @t424)) % 0.47/1.00 (define @t427 () (_ tptp.append2089414218ession @t112)) % 0.47/1.00 (define @t428 () (_ @t427 @t135)) % 0.47/1.00 (define @t429 () (@list @t112 @t135 @t424)) % 0.47/1.00 (define @t430 () (= @t135 @t424)) % 0.47/1.00 (define @t431 () (_ tptp.append2089414218ession @t424)) % 0.47/1.00 (define @t432 () (@list @t422)) % 0.47/1.00 (define @t433 () (@var "A4" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t434 () (@list @t433)) % 0.47/1.00 (define @t435 () (= @t135 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t436 () (and @t113 @t435)) % 0.47/1.00 (define @t437 () (@list @t112 @t135)) % 0.47/1.00 (define @t438 () (= @t116 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t439 () (and @t106 @t438)) % 0.47/1.00 (define @t440 () (_ tptp.append_Secrecy_KS @t105)) % 0.47/1.00 (define @t441 () (_ @t440 @t116)) % 0.47/1.00 (define @t442 () (@list @t105 @t116)) % 0.47/1.00 (define @t443 () (@list @t135 @t112)) % 0.47/1.00 (define @t444 () (@list @t116 @t105)) % 0.47/1.00 (define @t445 () (_ tptp.splice1390717708ession @t112)) % 0.47/1.00 (define @t446 () (_ tptp.splice_Secrecy_KS @t105)) % 0.47/1.00 (define @t447 () (= @t105 @t116)) % 0.47/1.00 (define @t448 () (_ tptp.cons_Secrecy_KS @t63)) % 0.47/1.00 (define @t449 () (_ @t448 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t450 () (_ tptp.append_Secrecy_KS @t116)) % 0.47/1.00 (define @t451 () (_ @t440 @t289)) % 0.47/1.00 (define @t452 () (= @t112 @t135)) % 0.47/1.00 (define @t453 () (_ @t381 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t454 () (_ @t427 @t291)) % 0.47/1.00 (define @t455 () (@var "Us" tptp.list_S529945141ession)) % 0.47/1.00 (define @t456 () (@var "Xs1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t457 () (_ tptp.append2089414218ession @t456)) % 0.47/1.00 (define @t458 () (@var "Ts" tptp.list_S529945141ession)) % 0.47/1.00 (define @t459 () (@var "Us2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t460 () (_ tptp.append2089414218ession @t459)) % 0.47/1.00 (define @t461 () (@list @t192 @t112 @t135)) % 0.47/1.00 (define @t462 () (= @t194 @t426)) % 0.47/1.00 (define @t463 () (_ tptp.append2089414218ession tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t464 () (_ tptp.append_Secrecy_KS tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t465 () (_ @t463 @t135)) % 0.47/1.00 (define @t466 () (@list @t135)) % 0.47/1.00 (define @t467 () (_ @t464 @t116)) % 0.47/1.00 (define @t468 () (@list @t116)) % 0.47/1.00 (define @t469 () (_ tptp.append2089414218ession @t49)) % 0.47/1.00 (define @t470 () (@var "E22" tptp.list_S529945141ession)) % 0.47/1.00 (define @t471 () (@var "V" tptp.list_S529945141ession)) % 0.47/1.00 (define @t472 () (@var "U" tptp.list_S529945141ession)) % 0.47/1.00 (define @t473 () (=> @t213 (_ @t94 (_ (_ tptp.append_Secrecy_KS @t122) @t181)))) % 0.47/1.00 (define @t474 () (_ tptp.append2089414218ession @t147)) % 0.47/1.00 (define @t475 () (=> @t217 (_ @t98 (_ @t474 @t188)))) % 0.47/1.00 (define @t476 () (@var "Zs2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t477 () (@var "Ys4" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t478 () (_ (_ tptp.append_Secrecy_KS @t477) @t476)) % 0.47/1.00 (define @t479 () (_ @t288 @t477)) % 0.47/1.00 (define @t480 () (@list @t477)) % 0.47/1.00 (define @t481 () (_ @t450 @t476)) % 0.47/1.00 (define @t482 () (@var "Ys4" tptp.list_S529945141ession)) % 0.47/1.00 (define @t483 () (_ (_ tptp.append2089414218ession @t482) @t424)) % 0.47/1.00 (define @t484 () (_ @t193 @t482)) % 0.47/1.00 (define @t485 () (@list @t482)) % 0.47/1.00 (define @t486 () (_ tptp.maps_S599402637ession @t321)) % 0.47/1.00 (define @t487 () (@var "E3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t488 () (@var "K22" tptp.secrecy_Keys)) % 0.47/1.00 (define @t489 () (@var "K12" tptp.secrecy_Keys)) % 0.47/1.00 (define @t490 () (_ (_ tptp.encrDecrKeys @t489) @t488)) % 0.47/1.00 (define @t491 () (@list @t489 @t488 @t487)) % 0.47/1.00 (define @t492 () (@var "Xss22" tptp.list_l425507653ession)) % 0.47/1.00 (define @t493 () (@var "Xs4" tptp.list_S529945141ession)) % 0.47/1.00 (define @t494 () (@var "Xss1" tptp.list_l425507653ession)) % 0.47/1.00 (define @t495 () (@var "Xss2" tptp.list_l425507653ession)) % 0.47/1.00 (define @t496 () (= @t495 tptp.nil_li311616943ession)) % 0.47/1.00 (define @t497 () (not @t496)) % 0.47/1.00 (define @t498 () (= (_ tptp.concat388015140ession @t495) @t426)) % 0.47/1.00 (define @t499 () (@list @t495 @t135 @t424)) % 0.47/1.00 (define @t500 () (@var "Xss22" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t501 () (@var "Xs4" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t502 () (@var "Xss1" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t503 () (@var "Xss2" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t504 () (= @t503 tptp.nil_list_Secrecy_KS)) % 0.47/1.00 (define @t505 () (@list @t287 @t105)) % 0.47/1.00 (define @t506 () (_ tptp.rotate1237234450ession @t112)) % 0.47/1.00 (define @t507 () (_ tptp.rotate1_Secrecy_KS @t105)) % 0.47/1.00 (define @t508 () (@var "Ys2" tptp.list_l425507653ession)) % 0.47/1.00 (define @t509 () (@var "Xs" tptp.list_l425507653ession)) % 0.47/1.00 (define @t510 () (_ tptp.concat388015140ession @t509)) % 0.47/1.00 (define @t511 () (@var "Xss23" tptp.list_l425507653ession)) % 0.47/1.00 (define @t512 () (@var "Xs5" tptp.list_S529945141ession)) % 0.47/1.00 (define @t513 () (_ tptp.append2089414218ession @t512)) % 0.47/1.00 (define @t514 () (@var "Xss12" tptp.list_l425507653ession)) % 0.47/1.00 (define @t515 () (@list @t105 @t287)) % 0.47/1.00 (define @t516 () (@list @t112 @t192)) % 0.47/1.00 (define @t517 () (_ tptp.last_S1532390982ession @t135)) % 0.47/1.00 (define @t518 () (_ tptp.last_S1532390982ession @t428)) % 0.47/1.00 (define @t519 () (not @t435)) % 0.47/1.00 (define @t520 () (=> @t519 (= @t518 @t517))) % 0.47/1.00 (define @t521 () (_ tptp.last_Secrecy_KS @t116)) % 0.47/1.00 (define @t522 () (_ tptp.last_Secrecy_KS @t441)) % 0.47/1.00 (define @t523 () (not @t438)) % 0.47/1.00 (define @t524 () (=> @t523 (= @t522 @t521))) % 0.47/1.00 (define @t525 () (_ tptp.last_S1532390982ession @t112)) % 0.47/1.00 (define @t526 () (=> @t435 (= @t518 @t525))) % 0.47/1.00 (define @t527 () (_ tptp.last_Secrecy_KS @t105)) % 0.47/1.00 (define @t528 () (=> @t438 (= @t522 @t527))) % 0.47/1.00 (define @t529 () (_ tptp.butlast_Secrecy_KS @t105)) % 0.47/1.00 (define @t530 () (_ tptp.butlas171474643ession @t112)) % 0.47/1.00 (define @t531 () (_ tptp.butlast_Secrecy_KS @t116)) % 0.47/1.00 (define @t532 () (_ tptp.butlas171474643ession @t135)) % 0.47/1.00 (define @t533 () (_ tptp.last_Secrecy_KS @t315)) % 0.47/1.00 (define @t534 () (=> @t107 (= @t533 @t527))) % 0.47/1.00 (define @t535 () (_ tptp.last_S1532390982ession @t194)) % 0.47/1.00 (define @t536 () (=> @t114 (= @t535 @t525))) % 0.47/1.00 (define @t537 () (=> @t106 (= @t533 @t287))) % 0.47/1.00 (define @t538 () (=> @t113 (= @t535 @t192))) % 0.47/1.00 (define @t539 () (@var "Ys5" tptp.list_S529945141ession)) % 0.47/1.00 (define @t540 () (= @t539 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t541 () (= @t512 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t542 () (@var "Ss" tptp.list_S529945141ession)) % 0.47/1.00 (define @t543 () (@var "Ys5" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t544 () (@var "Xs5" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t545 () (= @t543 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t546 () (= @t544 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t547 () (@var "Ss" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t548 () (_ tptp.butlast_Secrecy_KS @t315)) % 0.47/1.00 (define @t549 () (_ tptp.butlas171474643ession @t194)) % 0.47/1.00 (define @t550 () (_ tptp.butlas171474643ession @t428)) % 0.47/1.00 (define @t551 () (_ tptp.butlast_Secrecy_KS @t441)) % 0.47/1.00 (define @t552 () (_ tptp.mem_Se1967555118ession @t192)) % 0.47/1.00 (define @t553 () (@var "Kl" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t554 () (@var "Kl2" tptp.set_li2007071804ecrets)) % 0.47/1.00 (define @t555 () (_ tptp.bNF_Gr957048817ecrets @t554)) % 0.47/1.00 (define @t556 () (@var "K" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t557 () (_ tptp.member2138796287ecrets @t556)) % 0.47/1.00 (define @t558 () (_ @t557 (_ @t555 @t553))) % 0.47/1.00 (define @t559 () (_ (_ tptp.member1138497285ecrets (_ (_ tptp.append186372209ecrets @t553) (_ (_ tptp.cons_Secrecy_Secrets @t556) tptp.nil_Secrecy_Secrets))) @t554)) % 0.47/1.00 (define @t560 () (@var "Kl" tptp.list_Secrecy_Keys)) % 0.47/1.01 (define @t561 () (@var "Kl2" tptp.set_li849033543y_Keys)) % 0.47/1.01 (define @t562 () (_ tptp.bNF_Gr344893606y_Keys @t561)) % 0.47/1.01 (define @t563 () (_ tptp.member_Secrecy_Keys @t50)) % 0.47/1.01 (define @t564 () (_ @t563 (_ @t562 @t560))) % 0.47/1.01 (define @t565 () (_ (_ tptp.member341114536y_Keys (_ (_ tptp.append_Secrecy_Keys @t560) (_ (_ tptp.cons_Secrecy_Keys @t50) tptp.nil_Secrecy_Keys))) @t561)) % 0.47/1.01 (define @t566 () (@var "Kl" tptp.list_Secrecy_KS)) % 0.47/1.01 (define @t567 () (@var "Kl2" tptp.set_list_Secrecy_KS)) % 0.47/1.01 (define @t568 () (_ tptp.bNF_Gr577175642ecy_KS @t567)) % 0.47/1.01 (define @t569 () (@var "K" tptp.secrecy_KS)) % 0.47/1.01 (define @t570 () (_ tptp.member_Secrecy_KS2 @t569)) % 0.47/1.01 (define @t571 () (_ @t570 (_ @t568 @t566))) % 0.47/1.01 (define @t572 () (_ (_ tptp.member193705948ecy_KS (_ (_ tptp.append_Secrecy_KS @t566) (_ (_ tptp.cons_Secrecy_KS @t569) tptp.nil_Secrecy_KS))) @t567)) % 0.47/1.01 (define @t573 () (@var "Kl" tptp.list_S529945141ession)) % 0.47/1.01 (define @t574 () (@var "Kl2" tptp.set_li185139947ession)) % 0.47/1.01 (define @t575 () (_ tptp.bNF_Gr979629770ession @t574)) % 0.47/1.01 (define @t576 () (@var "K" tptp.secrecy_Expression)) % 0.47/1.01 (define @t577 () (_ tptp.member279582780ession @t576)) % 0.47/1.01 (define @t578 () (_ @t577 (_ @t575 @t573))) % 0.47/1.01 (define @t579 () (_ tptp.cons_S112077679ession @t576)) % 0.47/1.01 (define @t580 () (_ (_ tptp.member249235532ession (_ (_ tptp.append2089414218ession @t573) (_ @t579 tptp.nil_Se901661471ession))) @t574)) % 0.47/1.01 (define @t581 () (_ tptp.rev_Secrecy_KS @t105)) % 0.47/1.01 (define @t582 () (_ tptp.append2089414218ession (_ tptp.rev_Se1073238207ession @t135))) % 0.47/1.01 (define @t583 () (_ tptp.rev_Se1073238207ession @t112)) % 0.47/1.01 (define @t584 () (= @t105 @t289)) % 0.47/1.01 (define @t585 () (= @t112 @t291)) % 0.47/1.01 (define @t586 () (_ tptp.member1138497285ecrets tptp.nil_Secrecy_Secrets)) % 0.47/1.01 (define @t587 () (_ tptp.member341114536y_Keys tptp.nil_Secrecy_Keys)) % 0.47/1.01 (define @t588 () (_ (_ tptp.bNF_Gr275623750ession @t574) @t576)) % 0.47/1.01 (define @t589 () (_ tptp.member249235532ession tptp.nil_Se901661471ession)) % 0.47/1.01 (define @t590 () (_ tptp.member193705948ecy_KS tptp.nil_Secrecy_KS)) % 0.47/1.01 (define @t591 () (_ @t579 @t573)) % 0.47/1.01 (define @t592 () (_ tptp.hd_Sec357328890ession @t112)) % 0.47/1.01 (define @t593 () (_ tptp.hd_Secrecy_KS @t105)) % 0.47/1.01 (define @t594 () (_ tptp.hd_Sec357328890ession @t428)) % 0.47/1.01 (define @t595 () (=> @t114 (= @t594 @t592))) % 0.47/1.01 (define @t596 () (_ tptp.hd_Secrecy_KS @t441)) % 0.47/1.01 (define @t597 () (=> @t107 (= @t596 @t593))) % 0.47/1.01 (define @t598 () (_ tptp.hd_Sec357328890ession @t135)) % 0.47/1.01 (define @t599 () (_ tptp.hd_Secrecy_KS @t116)) % 0.47/1.01 (define @t600 () (@var "Ps" tptp.list_S529945141ession)) % 0.47/1.01 (define @t601 () (_ tptp.append2089414218ession @t600)) % 0.47/1.01 (define @t602 () (@var "Ps" tptp.list_Secrecy_KS)) % 0.47/1.01 (define @t603 () (_ tptp.append_Secrecy_KS @t602)) % 0.47/1.01 (define @t604 () (_ tptp.hd_lis1623417098ession @t509)) % 0.47/1.01 (define @t605 () (@var "Xs" tptp.list_list_Secrecy_KS)) % 0.47/1.01 (define @t606 () (_ tptp.hd_list_Secrecy_KS @t605)) % 0.47/1.01 (define @t607 () (_ tptp.cons_Secrecy_KS @t593)) % 0.47/1.01 (define @t608 () (_ tptp.tl_Secrecy_KS @t105)) % 0.47/1.01 (define @t609 () (_ tptp.append_Secrecy_KS @t608)) % 0.47/1.01 (define @t610 () (_ tptp.cons_S112077679ession @t592)) % 0.47/1.01 (define @t611 () (_ tptp.tl_Sec1905266422ession @t112)) % 0.47/1.01 (define @t612 () (_ tptp.append2089414218ession @t611)) % 0.47/1.01 (define @t613 () (or @t113 @t435 (not (= @t525 @t598)))) % 0.47/1.01 (define @t614 () (_ tptp.distin1076152135ession @t135)) % 0.47/1.01 (define @t615 () (_ tptp.distin1076152135ession @t112)) % 0.47/1.01 (define @t616 () (_ tptp.distin1076152135ession @t428)) % 0.47/1.01 (define @t617 () (or @t106 @t438 (not (= @t527 @t599)))) % 0.47/1.01 (define @t618 () (_ tptp.distin1495927511ecy_KS @t105)) % 0.47/1.01 (define @t619 () (_ @t381 @t112)) % 0.47/1.01 (define @t620 () (not @t418)) % 0.47/1.01 (define @t621 () (_ @t193 @t619)) % 0.47/1.01 (define @t622 () (@list @t192 @t378 @t112)) % 0.47/1.01 (define @t623 () (_ tptp.tl_Secrecy_KS @t80)) % 0.47/1.01 (define @t624 () (_ tptp.hd_Secrecy_KS @t80)) % 0.47/1.01 (define @t625 () (_ (_ tptp.cons_Secrecy_KS @t624) @t623)) % 0.47/1.01 (define @t626 () (@list @t80)) % 0.47/1.01 (define @t627 () (_ tptp.tl_Sec1905266422ession @t83)) % 0.47/1.01 (define @t628 () (_ tptp.hd_Sec357328890ession @t83)) % 0.47/1.01 (define @t629 () (_ (_ tptp.cons_S112077679ession @t628) @t627)) % 0.47/1.01 (define @t630 () (@list @t83)) % 0.47/1.01 (define @t631 () (@var "List2" tptp.list_S529945141ession)) % 0.47/1.01 (define @t632 () (= @t631 tptp.nil_Se901661471ession)) % 0.47/1.01 (define @t633 () (@var "List2" tptp.list_Secrecy_KS)) % 0.47/1.01 (define @t634 () (= @t633 tptp.nil_Secrecy_KS)) % 0.47/1.01 (define @t635 () (_ tptp.distin1076152135ession @t194)) % 0.47/1.01 (define @t636 () (or @t106 (exists @t261 (= @t105 (_ @t357 tptp.nil_Secrecy_KS))))) % 0.47/1.01 (define @t637 () (= @t608 tptp.nil_Secrecy_KS)) % 0.47/1.01 (define @t638 () (or @t113 (exists (@list @t369) (= @t112 (_ @t370 tptp.nil_Se901661471ession))))) % 0.47/1.01 (define @t639 () (= @t611 tptp.nil_Se901661471ession)) % 0.47/1.01 (define @t640 () (@var "P" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.01 (define @t641 () (_ tptp.succes1388047762ession @t640)) % 0.47/1.01 (define @t642 () (_ @t641 @t112)) % 0.47/1.01 (define @t643 () (@var "P" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.01 (define @t644 () (_ tptp.succes590251810ecy_KS @t643)) % 0.47/1.01 (define @t645 () (_ @t644 @t105)) % 0.47/1.01 (define @t646 () (_ tptp.shuffles_Secrecy_KS @t105)) % 0.47/1.01 (define @t647 () (_ tptp.member193705948ecy_KS @t476)) % 0.47/1.01 (define @t648 () (@var "Z" tptp.secrecy_KS)) % 0.47/1.01 (define @t649 () (_ @t646 @t116)) % 0.47/1.01 (define @t650 () (_ tptp.shuffl552897610ession @t112)) % 0.47/1.01 (define @t651 () (_ tptp.member249235532ession @t424)) % 0.47/1.01 (define @t652 () (@var "Z" tptp.secrecy_Expression)) % 0.47/1.01 (define @t653 () (_ @t650 @t135)) % 0.47/1.01 (define @t654 () (_ tptp.cons_S112077679ession @t652)) % 0.47/1.01 (define @t655 () (_ tptp.member249235532ession (_ @t654 @t424))) % 0.47/1.01 (define @t656 () (_ @t589 @t653)) % 0.47/1.01 (define @t657 () (_ @t590 @t649)) % 0.47/1.01 (define @t658 () (@var "Zs3" tptp.list_Secrecy_KS)) % 0.47/1.01 (define @t659 () (_ tptp.member193705948ecy_KS @t658)) % 0.47/1.01 (define @t660 () (@var "Z2" tptp.secrecy_KS)) % 0.47/1.01 (define @t661 () (= @t476 (_ (_ tptp.cons_Secrecy_KS @t660) @t658))) % 0.47/1.01 (define @t662 () (@list @t660 @t658)) % 0.47/1.01 (define @t663 () (@var "Zs3" tptp.list_S529945141ession)) % 0.47/1.01 (define @t664 () (_ tptp.member249235532ession @t663)) % 0.47/1.01 (define @t665 () (@var "Z2" tptp.secrecy_Expression)) % 0.47/1.01 (define @t666 () (= @t424 (_ (_ tptp.cons_S112077679ession @t665) @t663))) % 0.47/1.01 (define @t667 () (@list @t665 @t663)) % 0.47/1.01 (define @t668 () (_ @t651 @t653)) % 0.47/1.01 (define @t669 () (@var "X3" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.01 (define @t670 () (_ tptp.succes590251810ecy_KS @t669)) % 0.47/1.01 (define @t671 () (not (and (_ (_ @t669 @t123) @t119) (_ @t670 @t223)))) % 0.47/1.01 (define @t672 () (@var "Y" Bool)) % 0.47/1.01 (define @t673 () (= @t308 @t224)) % 0.47/1.01 (define @t674 () (not @t672)) % 0.47/1.01 (define @t675 () (= @t308 @t181)) % 0.47/1.01 (define @t676 () (_ @t670 @t308)) % 0.47/1.01 (define @t677 () (@var "X3" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.01 (define @t678 () (_ tptp.succes1388047762ession @t677)) % 0.47/1.01 (define @t679 () (and (_ (_ @t677 @t148) @t138) (_ @t678 @t232))) % 0.47/1.01 (define @t680 () (not @t679)) % 0.47/1.01 (define @t681 () (= @t313 @t233)) % 0.47/1.01 (define @t682 () (= @t313 @t188)) % 0.47/1.01 (define @t683 () (_ @t678 @t313)) % 0.47/1.01 (define @t684 () (@list @t677 @t313)) % 0.47/1.01 (define @t685 () (_ @t640 @t192)) % 0.47/1.01 (define @t686 () (@list @t424 @t112 @t135 @t652)) % 0.47/1.01 (define @t687 () (_ tptp.remdup484344169ession @t112)) % 0.47/1.01 (define @t688 () (_ tptp.remdup351570169ecy_KS @t105)) % 0.47/1.01 (define @t689 () (@var "Xs_2" tptp.list_Secrecy_KS)) % 0.47/1.01 (define @t690 () (_ @t288 @t689)) % 0.47/1.01 (define @t691 () (@var "Xs_1" tptp.list_Secrecy_KS)) % 0.47/1.01 (define @t692 () (_ tptp.append_Secrecy_KS @t691)) % 0.47/1.01 (define @t693 () (@var "Xs_2" tptp.list_S529945141ession)) % 0.47/1.01 (define @t694 () (_ @t193 @t693)) % 0.47/1.01 (define @t695 () (@var "Xs_1" tptp.list_S529945141ession)) % 0.47/1.01 (define @t696 () (_ tptp.append2089414218ession @t695)) % 0.47/1.01 (define @t697 () (_ tptp.remdup484344169ession @t194)) % 0.47/1.01 (define @t698 () (_ tptp.remdup484344169ession @t621)) % 0.47/1.01 (define @t699 () (_ tptp.secrecy_sKS tptp.m)) % 0.47/1.01 (define @t700 () (_ tptp.knowle945212990e_know tptp.a)) % 0.47/1.01 (define @t701 () (_ @t700 @t699)) % 0.47/1.01 (define @t702 () (not @t701)) % 0.47/1.01 (define @t703 () (@var "E2" tptp.secrecy_Expression)) % 0.47/1.01 (define @t704 () (@var "C2" tptp.secrecy_specID)) % 0.47/1.01 (define @t705 () (@var "S2" tptp.secrecy_Secrets)) % 0.47/1.01 (define @t706 () (@var "K4" tptp.secrecy_Keys)) % 0.47/1.01 (define @t707 () (lambda (@list @t704 @t703) (= (_ (_ tptp.eout @t704) @t703) (or (exists (@list @t706) (and (= @t703 (_ tptp.secrecy_kE @t706)) (_ (_ tptp.member_Secrecy_Keys @t706) (_ tptp.specKeys @t704)))) (exists (@list @t705) (and (= @t703 (_ tptp.secrecy_sE @t705)) (_ (_ tptp.member2138796287ecrets @t705) (_ tptp.specSecrets @t704)))) (_ (_ tptp.knowle731562421_knows @t704) (_ (_ tptp.cons_S112077679ession @t703) tptp.nil_Se901661471ession)))))) % 0.47/1.01 (define @t708 () (@var "P3" tptp.secrecy_specID)) % 0.47/1.01 (define @t709 () (_ tptp.specKeysSecrets @t708)) % 0.47/1.01 (define @t710 () (@var "Y3" tptp.secrecy_Secrets)) % 0.47/1.01 (define @t711 () (@var "E2" tptp.list_S529945141ession)) % 0.47/1.01 (define @t712 () (lambda (@list @t708 @t711) (and (forall @t264 (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_kE @t263)) @t711) (not (_ (_ tptp.member_Secrecy_KS2 (_ tptp.secrecy_kKS @t263)) @t709)))) (forall (@list @t710) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_sE @t710)) @t711) (not (_ (_ tptp.member_Secrecy_KS2 (_ tptp.secrecy_sKS @t710)) @t709))))))) % 0.47/1.01 (define @t713 () (@var "Xss3" tptp.list_l425507653ession)) % 0.47/1.01 (define @t714 () (lambda (@list @t713) (_ (_ (_ tptp.foldr_1531709715ession tptp.append2089414218ession) @t713) tptp.nil_Se901661471ession))) % 0.47/1.01 (define @t715 () (@var "Xss3" tptp.list_list_Secrecy_KS)) % 0.47/1.01 (define @t716 () (lambda (@list @t715) (_ (_ (_ tptp.foldr_1711005747ecy_KS tptp.append_Secrecy_KS) @t715) tptp.nil_Secrecy_KS))) % 0.47/1.01 (define @t717 () (tptp.secrecy_sE tptp.m)) % 0.47/1.01 (define @t718 () (tptp.cons_S112077679ession @t717 tptp.nil_Se901661471ession)) % 0.47/1.01 (define @t719 () (tptp.knowle731562421_knows tptp.a @t718)) % 0.47/1.01 (define @t720 () (tptp.secrecy_sKS @t10)) % 0.47/1.01 (define @t721 () (tptp.secrec1016742679ession @t720)) % 0.47/1.01 (define @t722 () (tptp.secrecy_sE @t10)) % 0.47/1.01 (define @t723 () (= @t11 @t39)) % 0.47/1.01 (define @t724 () (tptp.secrecy_sKS @t18)) % 0.47/1.01 (define @t725 () (tptp.knowle945212990e_know @t20 @t724)) % 0.47/1.01 (define @t726 () (tptp.secrec1016742679ession @t724)) % 0.47/1.01 (define @t727 () (tptp.cons_S112077679ession @t726 tptp.nil_Se901661471ession)) % 0.47/1.01 (define @t728 () (tptp.knowle731562421_knows @t20 @t727)) % 0.47/1.01 (define @t729 () (tptp.secrecy_sKS tptp.m)) % 0.47/1.01 (define @t730 () (tptp.secrec1016742679ession @t729)) % 0.47/1.01 (define @t731 () (tptp.cons_S112077679ession @t730 tptp.nil_Se901661471ession)) % 0.47/1.01 (define @t732 () (tptp.knowle731562421_knows tptp.a @t731)) % 0.47/1.01 (define @t733 () (tptp.knowle945212990e_know tptp.a @t729)) % 0.47/1.01 (define @t734 () (forall @t28 (= @t728 @t725))) % 0.47/1.01 (define @t735 () (= @t732 @t733)) % 0.47/1.01 (define @t736 () (= @t733 @t732)) % 0.47/1.01 (define @t737 () (not @t732)) % 0.47/1.01 (define @t738 () (= @t717 @t730)) % 0.47/1.01 (define @t739 () (and @t719 @t738)) % 0.47/1.01 (assume @p1 @t4) % 0.47/1.01 (assume @p2 (forall @t9 (= (= @t8 (_ tptp.secrecy_sKS @t5)) @t7))) % 0.47/1.01 (assume @p3 (forall @t17 (=> @t16 (_ @t13 (_ (_ tptp.cons_S112077679ession @t11) tptp.nil_Se901661471ession))))) % 0.47/1.01 (assume @p4 @t29) % 0.47/1.01 (assume @p5 (forall @t36 (=> @t35 (=> @t33 @t31)))) % 0.47/1.01 (assume @p6 (forall @t36 (= @t35 (= @t33 @t31)))) % 0.47/1.01 (assume @p7 (forall @t17 (= @t16 (or (_ @t38 @t11) (_ (_ tptp.member_Secrecy_KS2 @t14) @t37))))) % 0.47/1.01 (assume @p8 @t41) % 0.47/1.01 (assume @p9 (forall @t48 (=> (and @t47 (_ @t15 (_ tptp.secrecy_kKS @t45)) (_ @t13 (_ (_ tptp.enc @t44) @t42))) @t43))) % 0.47/1.01 (assume @p10 (forall @t48 (=> (and @t47 (_ @t15 (_ tptp.secrecy_kKS @t44)) (_ @t13 (_ (_ tptp.sign @t45) @t42))) @t43))) % 0.47/1.01 (assume @p11 (forall @t53 (=> @t52 (_ @t13 (_ (_ tptp.enc @t50) @t49))))) % 0.47/1.01 (assume @p12 (forall @t58 (= (= @t57 (_ tptp.secrecy_kKS @t54)) @t56))) % 0.47/1.01 (assume @p13 (forall @t9 (= (= @t59 (_ tptp.secrecy_sE @t5)) @t7))) % 0.47/1.01 (assume @p14 (forall (@list @t20 @t60) (= (_ @t25 (_ (_ tptp.cons_S112077679ession (_ tptp.secrec1016742679ession @t61)) tptp.nil_Se901661471ession)) (_ @t21 @t61)))) % 0.47/1.01 (assume @p15 (forall (@list @t20) (_ @t25 tptp.nil_Se901661471ession))) % 0.47/1.01 (assume @p16 (forall @t65 (=> (forall (@list @t64) (not (= @t63 (_ tptp.secrecy_kKS @t64)))) (not (forall (@list @t62) (not (= @t63 (_ tptp.secrecy_sKS @t62)))))))) % 0.47/1.01 (assume @p17 (forall (@list @t67 @t66) (=> (forall (@list @t69) (_ @t67 (_ tptp.secrecy_kKS @t69))) (=> (forall (@list @t68) (_ @t67 (_ tptp.secrecy_sKS @t68))) (_ @t67 @t66))))) % 0.47/1.01 (assume @p18 (forall @t70 (not (= @t57 @t8)))) % 0.47/1.01 (assume @p19 (forall @t53 (=> @t52 (_ @t13 (_ (_ tptp.sign @t50) @t49))))) % 0.47/1.01 (assume @p20 (forall (@list @t74 @t72 @t73 @t71) (= (= @t75 (_ (_ tptp.cons_S112077679ession @t73) @t71)) (and (= @t74 @t73) (= @t72 @t71))))) % 0.47/1.01 (assume @p21 (forall (@list @t77 @t76) (not (= tptp.nil_Secrecy_KS @t78)))) % 0.47/1.01 (assume @p22 (forall @t79 (not (= tptp.nil_Se901661471ession @t75)))) % 0.47/1.01 (assume @p23 (forall (@list @t80 @t77 @t76) (=> (= @t80 @t78) @t82))) % 0.47/1.01 (assume @p24 (forall (@list @t83 @t74 @t72) (=> (= @t83 @t75) @t85))) % 0.47/1.01 (assume @p25 (forall (@list @t88) (=> @t89 (not (forall (@list @t87 @t86) (not (= @t88 (_ (_ tptp.cons_Secrecy_KS @t87) @t86)))))))) % 0.47/1.01 (assume @p26 (forall (@list @t92) (=> @t93 (not (forall (@list @t91 @t90) (not (= @t92 (_ (_ tptp.cons_S112077679ession @t91) @t90)))))))) % 0.47/1.01 (assume @p27 (forall (@list @t94 @t80) (=> @t97 (=> (forall (@list @t96 @t95) (=> (_ @t94 @t95) (_ @t94 (_ (_ tptp.cons_Secrecy_KS @t96) @t95)))) (_ @t94 @t80))))) % 0.47/1.01 (assume @p28 (forall (@list @t98 @t83) (=> @t101 (=> (forall (@list @t100 @t99) (=> (_ @t98 @t99) (_ @t98 (_ (_ tptp.cons_S112077679ession @t100) @t99)))) (_ @t98 @t83))))) % 0.47/1.01 (assume @p29 (forall @t108 (= @t107 (exists (@list @t103 @t102) (= @t105 @t104))))) % 0.47/1.01 (assume @p30 (forall @t115 (= @t114 (exists (@list @t110 @t109) (= @t112 @t111))))) % 0.47/1.01 (assume @p31 (forall (@list @t117 @t105 @t116) (=> @t134 (=> (forall @t133 (_ @t126 tptp.nil_Secrecy_KS)) (=> (forall @t132 (_ @t131 @t121)) (=> (forall @t130 @t129) (_ (_ @t117 @t105) @t116))))))) % 0.47/1.01 (assume @p32 (forall (@list @t136 @t105 @t135) (=> @t145 (=> (forall @t133 (_ @t141 tptp.nil_Se901661471ession)) (=> (forall @t144 (_ @t143 @t140)) (=> (forall (@list @t123 @t122 @t138 @t137) @t142) (_ (_ @t136 @t105) @t135))))))) % 0.47/1.01 (assume @p33 (forall (@list @t146 @t112 @t116) (=> @t155 (=> (forall @t154 (_ @t151 tptp.nil_Secrecy_KS)) (=> (forall @t132 (_ @t153 @t121)) (=> (forall (@list @t148 @t147 @t119 @t118) @t152) (_ (_ @t146 @t112) @t116))))))) % 0.47/1.01 (assume @p34 (forall (@list @t156 @t112 @t135) (=> @t163 (=> (forall @t154 (_ @t157 tptp.nil_Se901661471ession)) (=> (forall @t144 (_ @t162 @t140)) (=> (forall @t161 @t160) (_ (_ @t156 @t112) @t135))))))) % 0.47/1.01 (assume @p35 (forall @t170 (=> @t169 (=> (forall (@list @t123 @t122 @t118) (=> (_ (_ @t117 @t118) @t122) @t167)) @t166)))) % 0.47/1.01 (assume @p36 (forall @t177 (=> @t176 (=> (forall (@list @t148 @t147 @t137) (=> (_ (_ @t156 @t137) @t147) @t174)) @t173)))) % 0.47/1.01 (assume @p37 (forall @t184 (=> @t97 (=> @t183 (=> (forall (@list @t123 @t119 @t179) (=> (_ @t94 @t179) (=> (_ @t94 @t180) (_ @t94 (_ @t124 @t180))))) @t178))))) % 0.47/1.01 (assume @p38 (forall @t191 (=> @t101 (=> @t190 (=> (forall (@list @t148 @t138 @t186) (=> (_ @t98 @t186) (=> (_ @t98 @t187) (_ @t98 (_ @t149 @t187))))) @t185))))) % 0.47/1.01 (assume @p39 (forall @t195 (not (= @t194 @t112)))) % 0.47/1.01 (assume @p40 (forall (@list @t198 @t197 @t164 @t196) (=> (forall (@list @t203 @t175) (_ (_ @t204 tptp.nil_Secrecy_KS) @t175)) (=> (forall (@list @t203 @t201 @t200 @t199) (=> (_ (_ @t204 @t200) (_ (_ tptp.cons_S112077679ession (_ @t203 @t201)) @t199)) (_ (_ @t204 @t202) @t199))) (_ (_ (_ @t198 @t197) @t164) @t196))))) % 0.47/1.01 (assume @p41 (forall (@list @t206 @t205 @t171 @t196) (=> (forall (@list @t210 @t175) (_ (_ @t211 tptp.nil_Se901661471ession) @t175)) (=> (forall (@list @t210 @t208 @t207 @t199) (=> (_ (_ @t211 @t207) (_ (_ tptp.cons_S112077679ession (_ @t210 @t208)) @t199)) (_ (_ @t211 @t209) @t199))) (_ (_ (_ @t206 @t205) @t171) @t196))))) % 0.47/1.01 (assume @p42 (forall @t215 (=> @t107 (=> @t183 (=> (forall @t133 (=> @t214 (=> @t213 @t212))) @t178))))) % 0.47/1.01 (assume @p43 (forall @t219 (=> @t114 (=> @t190 (=> (forall @t154 (=> @t218 (=> @t217 @t216))) @t185))))) % 0.47/1.01 (assume @p44 (forall @t228 (=> @t227 (=> (forall (@list @t225 @t123) (_ @t226 @t181)) (=> (forall (@list @t225 @t123 @t119 @t122) (=> (_ @t226 @t223) (_ @t226 @t224))) @t222))))) % 0.47/1.01 (assume @p45 (forall @t237 (=> @t236 (=> (forall (@list @t234 @t148) (_ @t235 @t188)) (=> (forall (@list @t234 @t148 @t138 @t147) (=> (_ @t235 @t232) (_ @t235 @t233))) @t231))))) % 0.47/1.01 (assume @p46 (forall (@list @t94 @t165) (=> @t97 (=> @t183 (=> (forall @t240 (=> (=> @t238 @t212) (=> (=> @t239 (_ @t94 @t223)) (_ @t94 @t224)))) (_ @t94 @t165)))))) % 0.47/1.01 (assume @p47 (forall (@list @t98 @t172) (=> @t101 (=> @t190 (=> (forall @t243 (=> (=> @t241 @t216) (=> (=> @t242 (_ @t98 @t232)) (_ @t98 @t233)))) (_ @t98 @t172)))))) % 0.47/1.01 (assume @p48 (forall @t228 (=> @t227 (=> (forall (@list @t225 @t123 @t118) (=> (_ @t226 @t118) (_ @t226 (_ @t124 @t118)))) @t222)))) % 0.47/1.01 (assume @p49 (forall @t237 (=> @t236 (=> (forall (@list @t234 @t148 @t137) (=> (_ @t235 @t137) (_ @t235 (_ @t149 @t137)))) @t231)))) % 0.47/1.01 (assume @p50 (forall (@list @t244) (=> (not @t247) (=> (forall @t182 (not @t246)) (not (forall @t240 (not @t245))))))) % 0.47/1.01 (assume @p51 (forall (@list @t248) (=> (not @t251) (=> (forall @t189 (not @t250)) (not (forall @t243 (not @t249))))))) % 0.47/1.01 (assume @p52 (forall (@list @t252 @t253) (= (_ (_ tptp.member2138796287ecrets @t252) (_ tptp.collec836099393ecrets @t253)) (_ @t253 @t252)))) % 0.47/1.01 (assume @p53 (forall (@list @t254 @t67) (= (_ (_ tptp.member_Secrecy_KS2 @t254) (_ tptp.collect_Secrecy_KS @t67)) (_ @t67 @t254)))) % 0.47/1.01 (assume @p54 (forall (@list @t255 @t256) (= (_ (_ tptp.member_Secrecy_Keys @t255) (_ tptp.collect_Secrecy_Keys @t256)) (_ @t256 @t255)))) % 0.47/1.01 (assume @p55 (forall (@list @t257) (= (_ tptp.collec836099393ecrets (lambda (@list @t258) (_ (_ tptp.member2138796287ecrets @t258) @t257))) @t257))) % 0.47/1.01 (assume @p56 (forall (@list @t259) (= (_ tptp.collect_Secrecy_KS (lambda @t261 (_ (_ tptp.member_Secrecy_KS2 @t260) @t259))) @t259))) % 0.47/1.01 (assume @p57 (forall (@list @t262) (= (_ tptp.collect_Secrecy_Keys (lambda @t264 (_ (_ tptp.member_Secrecy_Keys @t263) @t262))) @t262))) % 0.47/1.01 (assume @p58 (forall (@list @t266) (=> (not (= @t266 tptp.nil_list_Secrecy_KS)) (=> (forall (@list @t265) (not (= @t266 (_ @t267 @t265)))) (not (forall (@list @t123 @t122 @t265) (not (= @t266 (_ (_ tptp.cons_list_Secrecy_KS @t125) @t265))))))))) % 0.47/1.01 (assume @p59 (forall (@list @t269) (=> (not (= @t269 tptp.nil_li311616943ession)) (=> (forall (@list @t268) (not (= @t269 (_ @t270 @t268)))) (not (forall (@list @t148 @t147 @t268) (not (= @t269 (_ (_ tptp.cons_l533358079ession @t150) @t268))))))))) % 0.47/1.01 (assume @p60 (forall @t170 (=> @t169 (=> (forall @t271 (_ @t128 tptp.nil_Secrecy_KS)) (=> (forall @t130 (=> (_ @t128 @t121) (=> @t167 @t127))) @t166))))) % 0.47/1.01 (assume @p61 (forall @t177 (=> @t176 (=> (forall @t272 (_ @t159 tptp.nil_Se901661471ession)) (=> (forall @t161 (=> (_ @t159 @t140) (=> @t174 @t158))) @t173))))) % 0.47/1.01 (assume @p62 (forall @t279 (= @t278 @t276))) % 0.47/1.01 (assume @p63 (forall @t279 (=> @t278 @t276))) % 0.47/1.01 (assume @p64 (forall @t279 (=> @t276 @t278))) % 0.47/1.01 (assume @p65 (forall @t284 (=> @t283 @t282))) % 0.47/1.01 (assume @p66 (forall @t284 (=> @t282 @t283))) % 0.47/1.01 (assume @p67 (forall @t279 (=> @t286 @t285))) % 0.47/1.01 (assume @p68 (forall @t279 (=> @t285 @t286))) % 0.47/1.01 (assume @p69 (forall @t279 (= @t278 (or (_ @t38 @t274) (_ (_ tptp.member_Secrecy_KS2 @t277) @t37))))) % 0.47/1.01 (assume @p70 (forall @t290 (= (_ (_ tptp.insert_Secrecy_KS @t287) tptp.nil_Secrecy_KS) @t289))) % 0.47/1.01 (assume @p71 (forall @t292 (= (_ (_ tptp.insert1173886601ession @t192) tptp.nil_Se901661471ession) @t291))) % 0.47/1.01 (assume @p72 (forall @t58 (= (= @t293 (_ tptp.secrecy_kE @t54)) @t56))) % 0.47/1.01 (assume @p73 (forall @t70 (not (= @t293 @t59)))) % 0.47/1.01 (assume @p74 (forall (@list @t273) (= (_ tptp.secrec1016742679ession @t277) @t274))) % 0.47/1.01 (assume @p75 (forall @t298 (=> @t297 (=> @t296 @t295)))) % 0.47/1.01 (assume @p76 (forall @t298 (= @t297 (= @t296 @t295)))) % 0.47/1.01 (assume @p77 (forall (@list @t20 @t299) (=> (_ (_ tptp.knowle1268625169orrect @t20) @t299) (=> (_ @t32 @t299) (or (exists (@list @t301) (and (= @t299 (_ tptp.secrecy_kE @t301)) (_ (_ tptp.member_Secrecy_Keys @t301) @t294))) (exists (@list @t300) (and (= @t299 (_ tptp.secrecy_sE @t300)) (_ (_ tptp.member2138796287ecrets @t300) @t30))) (_ @t25 (_ (_ tptp.cons_S112077679ession @t299) tptp.nil_Se901661471ession))))))) % 0.47/1.01 (assume @p78 (= (_ tptp.produc1450295286ession tptp.nil_li311616943ession) @t302)) % 0.47/1.01 (assume @p79 (= (_ tptp.produc713695622ecy_KS tptp.nil_list_Secrecy_KS) @t303)) % 0.47/1.01 (assume @p80 (= (_ tptp.subseq348280080ession tptp.nil_Se901661471ession) @t302)) % 0.47/1.01 (assume @p81 (= (_ tptp.subseqs_Secrecy_KS tptp.nil_Secrecy_KS) @t303)) % 0.47/1.01 (assume @p82 (= (_ tptp.secrec1371625429on2KSL tptp.nil_Se901661471ession) tptp.nil_Secrecy_KS)) % 0.47/1.01 (assume @p83 (forall (@list @t304) (not (_ (_ tptp.list_e1486860828ession @t304) tptp.nil_Se901661471ession)))) % 0.47/1.01 (assume @p84 (forall (@list @t67) (not (_ (_ tptp.list_ex1_Secrecy_KS @t67) tptp.nil_Secrecy_KS)))) % 0.47/1.01 (assume @p85 (forall (@list @t306 @t308 @t305 @t92) (=> (= (_ (_ @t307 @t308) @t305) @t92) (=> (=> @t310 @t309) (not (forall (@list @t201 @t200) (=> (= @t308 @t202) (not (= @t92 (_ (_ @t307 @t200) (_ (_ tptp.cons_S112077679ession (_ @t306 @t201)) @t305))))))))))) % 0.47/1.01 (assume @p86 (forall (@list @t311 @t313 @t305 @t92) (=> (= (_ (_ @t312 @t313) @t305) @t92) (=> (=> @t314 @t309) (not (forall (@list @t208 @t207) (=> (= @t313 @t209) (not (= @t92 (_ (_ @t312 @t207) (_ (_ tptp.cons_S112077679ession (_ @t311 @t208)) @t305))))))))))) % 0.47/1.01 (assume @p87 (forall (@list @t316 @t287 @t105) (not (_ (_ @t317 @t315) tptp.nil_Secrecy_KS)))) % 0.47/1.01 (assume @p88 (forall (@list @t318 @t192 @t112) (not (_ @t320 tptp.nil_Se901661471ession)))) % 0.47/1.01 (assume @p89 (forall @t322 (= (_ (_ tptp.bind_S815874003ession tptp.nil_Se901661471ession) @t321) tptp.nil_Se901661471ession))) % 0.47/1.01 (assume @p90 (forall @t324 (= (_ (_ tptp.bind_S1823644515ecy_KS tptp.nil_Se901661471ession) @t323) tptp.nil_Secrecy_KS))) % 0.47/1.01 (assume @p91 (forall @t326 (= (_ (_ tptp.bind_S711229283ession tptp.nil_Secrecy_KS) @t325) tptp.nil_Se901661471ession))) % 0.47/1.01 (assume @p92 (forall @t328 (= (_ (_ tptp.bind_S645462771ecy_KS tptp.nil_Secrecy_KS) @t327) tptp.nil_Secrecy_KS))) % 0.47/1.01 (assume @p93 (forall (@list @t332 @t330 @t329 @t117) (=> (_ (_ @t333 @t330) @t329) (=> @t134 (=> (forall @t336 (=> @t335 (=> @t334 @t129))) @t331))))) % 0.47/1.01 (assume @p94 (forall (@list @t338 @t330 @t337 @t136) (=> (_ (_ @t339 @t330) @t337) (=> @t145 (=> (forall (@list @t123 @t138 @t122 @t137) (=> @t341 (=> @t340 @t142))) (_ (_ @t136 @t330) @t337)))))) % 0.47/1.01 (assume @p95 (forall (@list @t343 @t342 @t329 @t146) (=> (_ (_ @t344 @t342) @t329) (=> @t155 (=> (forall (@list @t148 @t119 @t147 @t118) (=> @t346 (=> @t345 @t152))) (_ (_ @t146 @t342) @t329)))))) % 0.47/1.01 (assume @p96 (forall (@list @t348 @t342 @t337 @t156) (=> (_ (_ @t349 @t342) @t337) (=> @t163 (=> (forall @t352 (=> @t351 (=> @t350 @t160))) @t347))))) % 0.47/1.01 (assume @p97 (= tptp.listre788412843ecy_KS (lambda (@list @t354 @t358 @t355) (or (and @t362 @t361) (exists @t360 (and @t359 @t356 (_ (_ @t354 @t260) @t103) (_ (_ (_ tptp.listre788412843ecy_KS @t354) @t353) @t102))))))) % 0.47/1.01 (assume @p98 (= tptp.listre1601064475ession (lambda (@list @t363 @t358 @t364) (or (and @t362 @t366) (exists (@list @t260 @t110 @t353 @t109) (and @t359 @t365 (_ (_ @t363 @t260) @t110) (_ (_ (_ tptp.listre1601064475ession @t363) @t353) @t109))))))) % 0.47/1.01 (assume @p99 (= tptp.listre565996059ecy_KS (lambda (@list @t368 @t371 @t355) (or (and @t373 @t361) (exists (@list @t369 @t103 @t367 @t102) (and @t372 @t356 (_ (_ @t368 @t369) @t103) (_ (_ (_ tptp.listre565996059ecy_KS @t368) @t367) @t102))))))) % 0.47/1.01 (assume @p100 (= tptp.listre84909707ession (lambda (@list @t374 @t371 @t364) (or (and @t373 @t366) (exists @t375 (and @t372 @t365 (_ (_ @t374 @t369) @t110) (_ (_ (_ tptp.listre84909707ession @t374) @t367) @t109))))))) % 0.47/1.01 (assume @p101 (forall (@list @t318 @t192 @t112 @t378 @t135) (= @t383 (or @t380 (and @t379 @t377))))) % 0.47/1.01 (assume @p102 (forall (@list @t318 @t112) (= (_ @t376 tptp.nil_Se901661471ession) @t113))) % 0.47/1.01 (assume @p103 (forall (@list @t316 @t105) (= (_ (_ @t317 @t105) tptp.nil_Secrecy_KS) @t106))) % 0.47/1.01 (assume @p104 (forall (@list @t318 @t135) (_ (_ @t319 tptp.nil_Se901661471ession) @t135))) % 0.47/1.01 (assume @p105 (forall (@list @t316 @t116) (_ (_ @t317 tptp.nil_Secrecy_KS) @t116))) % 0.47/1.01 (assume @p106 (forall @t384 (=> @t380 @t383))) % 0.47/1.01 (assume @p107 (forall @t384 (=> (not @t380) (=> @t379 (=> @t377 @t383))))) % 0.47/1.01 (assume @p108 (forall (@list @t348 @t192 @t378 @t112 @t135) (=> (_ (_ @t348 @t192) @t378) (=> (_ (_ @t349 @t112) @t135) (_ (_ @t349 @t194) @t382))))) % 0.47/1.01 (assume @p109 (forall (@list @t348) (_ (_ @t349 tptp.nil_Se901661471ession) tptp.nil_Se901661471ession))) % 0.47/1.01 (assume @p110 (forall (@list @t343) (_ (_ @t344 tptp.nil_Se901661471ession) tptp.nil_Secrecy_KS))) % 0.47/1.01 (assume @p111 (forall (@list @t338) (_ (_ @t339 tptp.nil_Secrecy_KS) tptp.nil_Se901661471ession))) % 0.47/1.01 (assume @p112 (forall (@list @t332) (_ (_ @t333 tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS))) % 0.47/1.01 (assume @p113 (forall (@list @t387 @t386 @t388 @t385) (= (_ (_ @t389 (_ @t390 @t388)) @t385) (_ (_ @t389 @t388) (_ (_ tptp.cons_S112077679ession (_ @t387 @t386)) @t385))))) % 0.47/1.01 (assume @p114 (forall (@list @t316 @t164 @t395) (=> (_ (_ @t317 @t164) @t395) (=> (not @t399) (=> (forall @t182 (=> (exists @t271 @t398) (forall (@list @t119) (=> (exists @t397 @t396) @t394)))) (not (forall @t240 (=> @t398 (forall @t397 (=> @t396 (=> @t394 (=> @t392 (not @t391))))))))))))) % 0.47/1.01 (assume @p115 (forall (@list @t318 @t171 @t196) (=> (_ (_ @t319 @t171) @t196) (=> (not @t407) (=> (forall @t189 (=> (exists @t272 @t406) (forall (@list @t138) (=> (exists @t405 @t404) @t403)))) (not (forall @t243 (=> @t406 (forall @t405 (=> @t404 (=> @t403 (=> @t401 (not @t400))))))))))))) % 0.47/1.01 (assume @p116 (= tptp.lexord948960489ecy_KS (lambda (@list @t408 @t358 @t355) (or (exists (@list @t102) (and @t362 (= @t355 @t102))) (exists @t360 (and @t359 @t356 @t409)) (exists @t360 (and @t359 @t356 (not @t409) (not (_ (_ @t408 @t103) @t260)) (_ (_ (_ tptp.lexord948960489ecy_KS @t408) @t353) @t102))))))) % 0.47/1.01 (assume @p117 (= tptp.lexord1123423577ession (lambda (@list @t410 @t371 @t364) (or (exists (@list @t109) (and @t373 (= @t364 @t109))) (exists @t375 (and @t372 @t365 @t411)) (exists @t375 (and @t372 @t365 (not @t411) (not (_ (_ @t410 @t110) @t369)) (_ (_ (_ tptp.lexord1123423577ession @t410) @t367) @t109))))))) % 0.47/1.01 (assume @p118 (forall (@list @t316 @t330 @t329 @t117) (=> (_ (_ @t317 @t330) @t329) (=> @t169 (=> (forall @t336 (=> @t393 @t127)) (=> (forall @t336 (=> @t394 (=> @t392 (=> @t391 @t129)))) @t331)))))) % 0.47/1.01 (assume @p119 (forall (@list @t318 @t342 @t337 @t156) (=> (_ (_ @t319 @t342) @t337) (=> @t176 (=> (forall @t352 (=> @t402 @t158)) (=> (forall @t352 (=> @t403 (=> @t401 (=> @t400 @t160)))) @t347)))))) % 0.47/1.01 (assume @p120 (forall (@list @t332 @t164 @t395) (=> (_ (_ @t333 @t164) @t395) (=> (=> @t399 @t412) (not (forall @t240 (=> @t398 (forall @t397 (=> @t396 (=> @t335 (not @t334))))))))))) % 0.47/1.01 (assume @p121 (forall (@list @t338 @t164 @t196) (=> (_ (_ @t339 @t164) @t196) (=> (=> @t399 @t413) (not (forall (@list @t123 @t138 @t122) (=> @t398 (forall @t405 (=> @t404 (=> @t341 (not @t340))))))))))) % 0.47/1.01 (assume @p122 (forall (@list @t343 @t171 @t395) (=> (_ (_ @t344 @t171) @t395) (=> (=> @t407 @t412) (not (forall (@list @t148 @t119 @t147) (=> @t406 (forall @t397 (=> @t396 (=> @t346 (not @t345))))))))))) % 0.47/1.01 (assume @p123 (forall (@list @t348 @t171 @t196) (=> (_ (_ @t349 @t171) @t196) (=> (=> @t407 @t413) (not (forall @t243 (=> @t406 (forall @t405 (=> @t404 (=> @t351 (not @t350))))))))))) % 0.47/1.01 (assume @p124 (forall @t417 (=> @t416 (_ @t414 (_ @t390 tptp.nil_Se901661471ession))))) % 0.47/1.01 (assume @p125 (forall (@list @t378) (not (_ (_ tptp.member2020590922ession tptp.nil_Se901661471ession) @t378)))) % 0.47/1.01 (assume @p126 (forall @t65 (not (_ (_ tptp.member_Secrecy_KS tptp.nil_Secrecy_KS) @t63)))) % 0.47/1.01 (assume @p127 (forall (@list @t192 @t112 @t378) (= (_ (_ tptp.member2020590922ession @t194) @t378) (or @t418 (_ (_ tptp.member2020590922ession @t112) @t378))))) % 0.47/1.01 (assume @p128 (forall (@list @t244 @t308 @t88) (=> (= (_ (_ tptp.splice_Secrecy_KS @t244) @t308) @t88) (=> (=> @t247 (not (= @t88 @t308))) (not (forall @t133 (=> (= @t244 @t125) (not (= @t88 (_ @t124 (_ (_ tptp.splice_Secrecy_KS @t308) @t122))))))))))) % 0.47/1.01 (assume @p129 (forall (@list @t248 @t313 @t92) (=> (= (_ (_ tptp.splice1390717708ession @t248) @t313) @t92) (=> (=> @t251 (not (= @t92 @t313))) (not (forall @t154 (=> (= @t248 @t150) (not (= @t92 (_ @t149 (_ (_ tptp.splice1390717708ession @t313) @t147))))))))))) % 0.47/1.01 (assume @p130 (forall (@list @t192 @t112 @t321) (= (_ (_ tptp.bind_S815874003ession @t194) @t321) (_ @t419 (_ (_ tptp.bind_S815874003ession @t112) @t321))))) % 0.47/1.01 (assume @p131 (forall (@list @t422 @t421 @t420) (= (_ (_ tptp.append2089414218ession (_ @t423 @t421)) @t420) (_ @t423 (_ (_ tptp.append2089414218ession @t421) @t420))))) % 0.47/1.01 (assume @p132 (forall @t429 (= (_ (_ tptp.append2089414218ession @t428) @t424) (_ @t427 @t426)))) % 0.47/1.01 (assume @p133 (forall (@list @t135 @t112 @t424) (= (= (_ @t425 @t112) (_ @t431 @t112)) @t430))) % 0.47/1.01 (assume @p134 (forall @t429 (= (= @t428 (_ @t427 @t424)) @t430))) % 0.47/1.01 (assume @p135 (forall @t432 (= (_ @t423 tptp.nil_Se901661471ession) @t422))) % 0.47/1.01 (assume @p136 (forall @t434 (= (_ (_ tptp.append_Secrecy_KS @t433) tptp.nil_Secrecy_KS) @t433))) % 0.47/1.01 (assume @p137 (forall @t437 (= (= @t428 tptp.nil_Se901661471ession) @t436))) % 0.47/1.01 (assume @p138 (forall @t442 (= (= @t441 tptp.nil_Secrecy_KS) @t439))) % 0.47/1.01 (assume @p139 (forall @t437 (= (= tptp.nil_Se901661471ession @t428) @t436))) % 0.47/1.01 (assume @p140 (forall @t442 (= (= tptp.nil_Secrecy_KS @t441) @t439))) % 0.47/1.01 (assume @p141 (forall @t443 (= (= @t135 @t428) @t113))) % 0.47/1.01 (assume @p142 (forall @t444 (= (= @t116 @t441) @t106))) % 0.47/1.01 (assume @p143 (forall @t437 (= (= @t428 @t135) @t113))) % 0.47/1.01 (assume @p144 (forall @t442 (= (= @t441 @t116) @t106))) % 0.47/1.01 (assume @p145 (forall @t437 (= (= @t112 @t428) @t435))) % 0.47/1.01 (assume @p146 (forall @t442 (= (= @t105 @t441) @t438))) % 0.47/1.01 (assume @p147 (forall @t437 (= (= @t428 @t112) @t435))) % 0.47/1.01 (assume @p148 (forall @t442 (= (= @t441 @t105) @t438))) % 0.47/1.01 (assume @p149 (forall @t115 (= (_ @t427 tptp.nil_Se901661471ession) @t112))) % 0.47/1.01 (assume @p150 (forall @t108 (= (_ @t440 tptp.nil_Secrecy_KS) @t105))) % 0.47/1.01 (assume @p151 (forall @t437 (= (= (_ @t445 @t135) tptp.nil_Se901661471ession) @t436))) % 0.47/1.01 (assume @p152 (forall @t442 (= (= (_ @t446 @t116) tptp.nil_Secrecy_KS) @t439))) % 0.47/1.01 (assume @p153 (forall @t115 (= (_ @t445 tptp.nil_Se901661471ession) @t112))) % 0.47/1.01 (assume @p154 (forall @t108 (= (_ @t446 tptp.nil_Secrecy_KS) @t105))) % 0.47/1.01 (assume @p155 (forall (@list @t105 @t287 @t116 @t63) (= (= @t451 (_ @t450 @t449)) (and @t447 (= @t287 @t63))))) % 0.47/1.01 (assume @p156 (forall (@list @t112 @t192 @t135 @t378) (= (= @t454 (_ @t425 @t453)) (and @t452 @t418)))) % 0.47/1.01 (assume @p157 (forall (@list @t112 @t456 @t424 @t135 @t455) (=> (= (_ @t427 @t456) @t424) (=> (= @t135 (_ @t457 @t455)) (= @t428 (_ @t431 @t455)))))) % 0.47/1.01 (assume @p158 (forall (@list @t112 @t135 @t424 @t458) (= (= @t428 (_ @t431 @t458)) (exists (@list @t459) (or (and (= @t112 (_ @t431 @t459)) (= (_ @t460 @t135) @t458)) (and (= (_ @t427 @t459) @t424) (= @t135 (_ @t460 @t458)))))))) % 0.47/1.01 (assume @p159 (forall @t461 (= (_ (_ tptp.append2089414218ession @t194) @t135) (_ @t193 @t428)))) % 0.47/1.01 (assume @p160 (forall (@list @t192 @t456 @t135 @t112 @t424) (=> (= (_ @t193 @t456) @t135) (=> (= @t112 (_ @t457 @t424)) @t462)))) % 0.47/1.01 (assume @p161 (forall @t432 (= (_ @t463 @t422) @t422))) % 0.47/1.01 (assume @p162 (forall @t434 (= (_ @t464 @t433) @t433))) % 0.47/1.01 (assume @p163 (forall @t466 (= @t465 @t135))) % 0.47/1.01 (assume @p164 (forall @t468 (= @t467 @t116))) % 0.47/1.01 (assume @p165 (forall @t437 (=> @t452 (= @t112 @t465)))) % 0.47/1.01 (assume @p166 (forall @t442 (=> @t447 (= @t105 @t467)))) % 0.47/1.01 (assume @p167 (forall (@list @t12 @t42 @t49) (=> (_ @t13 (_ (_ tptp.append2089414218ession @t42) @t49)) @t43))) % 0.47/1.01 (assume @p168 (forall (@list @t12 @t49 @t42) (=> (_ @t13 (_ @t469 @t42)) @t43))) % 0.47/1.01 (assume @p169 (forall (@list @t12 @t49 @t470) (=> (and @t51 (_ @t13 @t470)) (_ @t13 (_ @t469 @t470))))) % 0.47/1.01 (assume @p170 (forall (@list @t318 @t472 @t471) (_ (_ @t319 @t472) (_ (_ tptp.append2089414218ession @t472) @t471)))) % 0.47/1.01 (assume @p171 (forall @t417 (=> @t416 (_ @t414 @t415)))) % 0.47/1.01 (assume @p172 (forall @t461 (= (_ (_ tptp.splice1390717708ession @t194) @t135) (_ @t193 (_ (_ tptp.splice1390717708ession @t135) @t112))))) % 0.47/1.01 (assume @p173 (forall @t466 (= (_ (_ tptp.splice1390717708ession tptp.nil_Se901661471ession) @t135) @t135))) % 0.47/1.01 (assume @p174 (forall @t468 (= (_ (_ tptp.splice_Secrecy_KS tptp.nil_Secrecy_KS) @t116) @t116))) % 0.47/1.01 (assume @p175 (forall @t215 (=> @t107 (=> @t183 (=> (forall @t133 (=> @t214 @t473)) @t178))))) % 0.47/1.01 (assume @p176 (forall @t219 (=> @t114 (=> @t190 (=> (forall @t154 (=> @t218 @t475)) @t185))))) % 0.47/1.01 (assume @p177 (forall (@list @t116 @t476 @t287 @t105) (= (= @t481 @t315) (or (and @t438 (= @t476 @t315)) (exists @t480 (and (= @t116 @t479) (= @t478 @t105))))))) % 0.47/1.01 (assume @p178 (forall (@list @t135 @t424 @t192 @t112) (= (= @t426 @t194) (or (and @t435 (= @t424 @t194)) (exists @t485 (and (= @t135 @t484) (= @t483 @t112))))))) % 0.47/1.01 (assume @p179 (forall (@list @t287 @t105 @t116 @t476) (= (= @t315 @t481) (or (and @t438 (= @t315 @t476)) (exists @t480 (and (= @t479 @t116) (= @t105 @t478))))))) % 0.47/1.01 (assume @p180 (forall (@list @t192 @t112 @t135 @t424) (= @t462 (or (and @t435 (= @t194 @t424)) (exists @t485 (and (= @t484 @t135) (= @t112 @t483))))))) % 0.47/1.01 (assume @p181 (forall @t108 (=> @t107 (not (forall (@list @t118 @t119) (not (= @t105 (_ (_ tptp.append_Secrecy_KS @t118) (_ @t120 tptp.nil_Secrecy_KS))))))))) % 0.47/1.01 (assume @p182 (forall @t115 (=> @t114 (not (forall (@list @t137 @t138) (not (= @t112 (_ (_ tptp.append2089414218ession @t137) (_ @t139 tptp.nil_Se901661471ession))))))))) % 0.47/1.01 (assume @p183 (forall @t184 (=> @t97 (=> (forall @t133 @t473) @t178)))) % 0.47/1.01 (assume @p184 (forall @t191 (=> @t101 (=> (forall @t154 @t475) @t185)))) % 0.47/1.01 (assume @p185 (forall (@list @t321 @t192 @t112) (= (_ @t486 @t194) (_ @t419 (_ @t486 @t112))))) % 0.47/1.01 (assume @p186 (forall @t491 (=> @t490 (= (_ (_ tptp.ext @t489) (_ (_ tptp.sign @t488) @t487)) @t487)))) % 0.47/1.01 (assume @p187 (forall @t491 (=> @t490 (= (_ (_ tptp.decr @t488) (_ (_ tptp.enc @t489) @t487)) @t487)))) % 0.47/1.01 (assume @p188 (forall @t499 (= @t498 (and (=> @t496 (and @t435 (= @t424 tptp.nil_Se901661471ession))) (=> @t497 (exists (@list @t494 @t367 @t493 @t492) (and (= @t495 (_ (_ tptp.append1105297242ession @t494) (_ (_ tptp.cons_l533358079ession (_ (_ tptp.append2089414218ession @t367) @t493)) @t492))) (= @t135 (_ (_ tptp.append2089414218ession (_ tptp.concat388015140ession @t494)) @t367)) (= @t424 (_ (_ tptp.append2089414218ession @t493) (_ tptp.concat388015140ession @t492)))))))))) % 0.47/1.01 (assume @p189 (forall (@list @t503 @t116 @t476) (= (= (_ tptp.concat_Secrecy_KS @t503) @t481) (and (=> @t504 (and @t438 (= @t476 tptp.nil_Secrecy_KS))) (=> (not @t504) (exists (@list @t502 @t353 @t501 @t500) (and (= @t503 (_ (_ tptp.append1376766698ecy_KS @t502) (_ (_ tptp.cons_list_Secrecy_KS (_ (_ tptp.append_Secrecy_KS @t353) @t501)) @t500))) (= @t116 (_ (_ tptp.append_Secrecy_KS (_ tptp.concat_Secrecy_KS @t502)) @t353)) (= @t476 (_ (_ tptp.append_Secrecy_KS @t501) (_ tptp.concat_Secrecy_KS @t500)))))))))) % 0.47/1.01 (assume @p190 (forall @t505 (= (_ tptp.rotate1_Secrecy_KS @t315) @t451))) % 0.47/1.01 (assume @p191 (forall @t195 (= (_ tptp.rotate1237234450ession @t194) @t454))) % 0.47/1.01 (assume @p192 (forall @t115 (= (= @t506 tptp.nil_Se901661471ession) @t113))) % 0.47/1.01 (assume @p193 (forall @t108 (= (= @t507 tptp.nil_Secrecy_KS) @t106))) % 0.47/1.01 (assume @p194 (forall (@list @t509 @t508) (= (_ tptp.concat388015140ession (_ (_ tptp.append1105297242ession @t509) @t508)) (_ (_ tptp.append2089414218ession @t510) (_ tptp.concat388015140ession @t508))))) % 0.47/1.01 (assume @p195 (= (_ tptp.rotate1237234450ession tptp.nil_Se901661471ession) tptp.nil_Se901661471ession)) % 0.47/1.01 (assume @p196 (= (_ tptp.rotate1_Secrecy_KS tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.01 (assume @p197 (= (_ tptp.concat388015140ession tptp.nil_li311616943ession) tptp.nil_Se901661471ession)) % 0.47/1.01 (assume @p198 (= (_ tptp.concat_Secrecy_KS tptp.nil_list_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.01 (assume @p199 (forall (@list @t248 @t509) (= (_ tptp.concat388015140ession (_ (_ tptp.cons_l533358079ession @t248) @t509)) (_ (_ tptp.append2089414218ession @t248) @t510)))) % 0.47/1.01 (assume @p200 (forall @t322 (= (_ @t486 tptp.nil_Se901661471ession) tptp.nil_Se901661471ession))) % 0.47/1.01 (assume @p201 (forall @t324 (= (_ (_ tptp.maps_S399472669ecy_KS @t323) tptp.nil_Se901661471ession) tptp.nil_Secrecy_KS))) % 0.47/1.01 (assume @p202 (forall @t326 (= (_ (_ tptp.maps_S1434541085ession @t325) tptp.nil_Secrecy_KS) tptp.nil_Se901661471ession))) % 0.47/1.01 (assume @p203 (forall @t328 (= (_ (_ tptp.maps_S377605037ecy_KS @t327) tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS))) % 0.47/1.01 (assume @p204 (forall @t499 (=> @t498 (=> @t497 (exists (@list @t514 @t147 @t512 @t511) (and (= @t495 (_ (_ tptp.append1105297242ession @t514) (_ (_ tptp.cons_l533358079ession (_ @t474 @t512)) @t511))) (= @t135 (_ (_ tptp.append2089414218ession (_ tptp.concat388015140ession @t514)) @t147)) (= @t424 (_ @t513 (_ tptp.concat388015140ession @t511))))))))) % 0.47/1.01 (assume @p205 (forall @t515 (= (_ tptp.butlast_Secrecy_KS @t451) @t105))) % 0.47/1.01 (assume @p206 (forall @t516 (= (_ tptp.butlas171474643ession @t454) @t112))) % 0.47/1.01 (assume @p207 (forall @t515 (= (_ tptp.last_Secrecy_KS @t451) @t287))) % 0.47/1.01 (assume @p208 (forall @t516 (= (_ tptp.last_S1532390982ession @t454) @t192))) % 0.47/1.01 (assume @p209 (forall @t443 @t520)) % 0.47/1.01 (assume @p210 (forall @t444 @t524)) % 0.47/1.01 (assume @p211 (forall @t443 @t526)) % 0.47/1.01 (assume @p212 (forall @t444 @t528)) % 0.47/1.01 (assume @p213 (forall @t108 (=> @t107 (= (_ (_ tptp.append_Secrecy_KS @t529) (_ (_ tptp.cons_Secrecy_KS @t527) tptp.nil_Secrecy_KS)) @t105)))) % 0.47/1.01 (assume @p214 (forall @t115 (=> @t114 (= (_ (_ tptp.append2089414218ession @t530) (_ (_ tptp.cons_S112077679ession @t525) tptp.nil_Se901661471ession)) @t112)))) % 0.47/1.01 (assume @p215 (= (_ tptp.butlas171474643ession tptp.nil_Se901661471ession) tptp.nil_Se901661471ession)) % 0.47/1.01 (assume @p216 (= (_ tptp.butlast_Secrecy_KS tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.01 (assume @p217 (forall (@list @t105 @t287 @t116) (= (= @t451 @t116) (and @t523 (= @t531 @t105) (= @t521 @t287))))) % 0.47/1.01 (assume @p218 (forall (@list @t112 @t192 @t135) (= (= @t454 @t135) (and @t519 (= @t532 @t112) (= @t517 @t192))))) % 0.47/1.01 (assume @p219 (forall @t515 @t534)) % 0.47/1.01 (assume @p220 (forall @t516 @t536)) % 0.47/1.01 (assume @p221 (forall @t515 @t537)) % 0.47/1.01 (assume @p222 (forall @t516 @t538)) % 0.47/1.01 (assume @p223 (forall @t515 (and @t537 @t534))) % 0.47/1.01 (assume @p224 (forall @t516 (and @t538 @t536))) % 0.47/1.01 (assume @p225 (forall @t437 (exists (@list @t542 @t512 @t539) (and (= @t112 (_ @t513 @t542)) (= @t135 (_ (_ tptp.append2089414218ession @t539) @t542)) (or @t541 @t540 (not (= (_ tptp.last_S1532390982ession @t512) (_ tptp.last_S1532390982ession @t539)))))))) % 0.47/1.01 (assume @p226 (forall @t442 (exists (@list @t547 @t544 @t543) (and (= @t105 (_ (_ tptp.append_Secrecy_KS @t544) @t547)) (= @t116 (_ (_ tptp.append_Secrecy_KS @t543) @t547)) (or @t546 @t545 (not (= (_ tptp.last_Secrecy_KS @t544) (_ tptp.last_Secrecy_KS @t543)))))))) % 0.47/1.01 (assume @p227 (forall @t443 (and @t526 @t520))) % 0.47/1.01 (assume @p228 (forall @t444 (and @t528 @t524))) % 0.47/1.01 (assume @p229 (forall @t515 (and (=> @t106 (= @t548 tptp.nil_Secrecy_KS)) (=> @t107 (= @t548 (_ @t288 @t529)))))) % 0.47/1.01 (assume @p230 (forall @t516 (and (=> @t113 (= @t549 tptp.nil_Se901661471ession)) (=> @t114 (= @t549 (_ @t193 @t530)))))) % 0.47/1.01 (assume @p231 (forall @t443 (and (=> @t435 (= @t550 @t530)) (=> @t519 (= @t550 (_ @t427 @t532)))))) % 0.47/1.01 (assume @p232 (forall @t444 (and (=> @t438 (= @t551 @t529)) (=> @t523 (= @t551 (_ @t440 @t531)))))) % 0.47/1.01 (assume @p233 (forall @t290 (not (_ (_ tptp.mem_Secrecy_KS @t287) tptp.nil_Secrecy_KS)))) % 0.47/1.01 (assume @p234 (forall @t292 (not (_ @t552 tptp.nil_Se901661471ession)))) % 0.47/1.01 (assume @p235 (forall (@list @t192 @t378 @t415) (= (_ @t552 (_ @t381 @t415)) (or @t418 (_ @t552 @t415))))) % 0.47/1.01 (assume @p236 (forall (@list @t553 @t556 @t554) (=> @t559 @t558))) % 0.47/1.01 (assume @p237 (forall (@list @t560 @t50 @t561) (=> @t565 @t564))) % 0.47/1.01 (assume @p238 (forall (@list @t566 @t569 @t567) (=> @t572 @t571))) % 0.47/1.01 (assume @p239 (forall (@list @t573 @t576 @t574) (=> @t580 @t578))) % 0.47/1.01 (assume @p240 (forall (@list @t556 @t554 @t553) (=> @t558 @t559))) % 0.47/1.01 (assume @p241 (forall (@list @t50 @t561 @t560) (=> @t564 @t565))) % 0.47/1.01 (assume @p242 (forall (@list @t569 @t567 @t566) (=> @t571 @t572))) % 0.47/1.01 (assume @p243 (forall (@list @t576 @t574 @t573) (=> @t578 @t580))) % 0.47/1.01 (assume @p244 (forall (@list @t105 @t63 @t116) (= (= @t581 (_ @t448 @t116)) (= @t105 (_ (_ tptp.append_Secrecy_KS (_ tptp.rev_Secrecy_KS @t116)) @t449))))) % 0.47/1.01 (assume @p245 (forall (@list @t112 @t378 @t135) (= (= @t583 @t382) (= @t112 (_ @t582 @t453))))) % 0.47/1.01 (assume @p246 (forall @t115 (= (= tptp.nil_Se901661471ession @t583) @t113))) % 0.47/1.01 (assume @p247 (forall @t108 (= (= tptp.nil_Secrecy_KS @t581) @t106))) % 0.47/1.01 (assume @p248 (forall @t115 (= (= @t583 tptp.nil_Se901661471ession) @t113))) % 0.47/1.01 (assume @p249 (forall @t108 (= (= @t581 tptp.nil_Secrecy_KS) @t106))) % 0.47/1.01 (assume @p250 (forall @t437 (= (_ tptp.rev_Se1073238207ession @t428) (_ @t582 @t583)))) % 0.47/1.01 (assume @p251 (forall @t505 (= (= @t289 @t581) @t584))) % 0.47/1.01 (assume @p252 (forall @t195 (= (= @t291 @t583) @t585))) % 0.47/1.01 (assume @p253 (forall @t515 (= (= @t581 @t289) @t584))) % 0.47/1.01 (assume @p254 (forall @t516 (= (= @t583 @t291) @t585))) % 0.47/1.01 (assume @p255 (= (_ tptp.rev_Se1073238207ession tptp.nil_Se901661471ession) tptp.nil_Se901661471ession)) % 0.47/1.01 (assume @p256 (= (_ tptp.rev_Secrecy_KS tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.01 (assume @p257 (forall @t505 (= (_ tptp.rev_Secrecy_KS @t315) (_ (_ tptp.append_Secrecy_KS @t581) @t289)))) % 0.47/1.01 (assume @p258 (forall @t195 (= (_ tptp.rev_Se1073238207ession @t194) (_ (_ tptp.append2089414218ession @t583) @t291)))) % 0.47/1.01 (assume @p259 (forall (@list @t554 @t556) (=> (_ @t586 @t554) (=> (_ @t557 (_ @t555 tptp.nil_Secrecy_Secrets)) (_ @t586 (_ (_ tptp.bNF_Gr28627573ecrets @t554) @t556)))))) % 0.47/1.01 (assume @p260 (forall (@list @t561 @t50) (=> (_ @t587 @t561) (=> (_ @t563 (_ @t562 tptp.nil_Secrecy_Keys)) (_ @t587 (_ (_ tptp.bNF_Gr414702370y_Keys @t561) @t50)))))) % 0.47/1.01 (assume @p261 (forall (@list @t574 @t576) (=> (_ @t589 @t574) (=> (_ @t577 (_ @t575 tptp.nil_Se901661471ession)) (_ @t589 @t588))))) % 0.47/1.01 (assume @p262 (forall (@list @t567 @t569) (=> (_ @t590 @t567) (=> (_ @t570 (_ @t568 tptp.nil_Secrecy_KS)) (_ @t590 (_ (_ tptp.bNF_Gr660123862ecy_KS @t567) @t569)))))) % 0.47/1.01 (assume @p263 (forall (@list @t573 @t574 @t576) (=> (_ (_ tptp.member249235532ession @t573) @t588) (_ (_ tptp.member249235532ession @t591) @t574)))) % 0.47/1.01 (assume @p264 (forall (@list @t574 @t576 @t573) (= (_ (_ tptp.bNF_Gr979629770ession @t588) @t573) (_ @t575 @t591)))) % 0.47/1.01 (assume @p265 (forall @t115 (=> @t114 (= (_ tptp.last_S1532390982ession @t583) @t592)))) % 0.47/1.01 (assume @p266 (forall @t108 (=> @t107 (= (_ tptp.last_Secrecy_KS @t581) @t593)))) % 0.47/1.01 (assume @p267 (forall @t115 (=> @t114 (= (_ tptp.hd_Sec357328890ession @t583) @t525)))) % 0.47/1.01 (assume @p268 (forall @t108 (=> @t107 (= (_ tptp.hd_Secrecy_KS @t581) @t527)))) % 0.47/1.01 (assume @p269 (forall @t437 @t595)) % 0.47/1.01 (assume @p270 (forall @t442 @t597)) % 0.47/1.01 (assume @p271 (forall @t437 (and (=> @t113 (= @t594 @t598)) @t595))) % 0.47/1.01 (assume @p272 (forall @t442 (and (=> @t106 (= @t596 @t599)) @t597))) % 0.47/1.01 (assume @p273 (forall @t437 (exists (@list @t600 @t512 @t539) (and (= @t112 (_ @t601 @t512)) (= @t135 (_ @t601 @t539)) (or @t541 @t540 (not (= (_ tptp.hd_Sec357328890ession @t512) (_ tptp.hd_Sec357328890ession @t539)))))))) % 0.47/1.01 (assume @p274 (forall @t442 (exists (@list @t602 @t544 @t543) (and (= @t105 (_ @t603 @t544)) (= @t116 (_ @t603 @t543)) (or @t546 @t545 (not (= (_ tptp.hd_Secrecy_KS @t544) (_ tptp.hd_Secrecy_KS @t543)))))))) % 0.47/1.01 (assume @p275 (forall (@list @t509) (=> (not (= @t509 tptp.nil_li311616943ession)) (=> (not (= @t604 tptp.nil_Se901661471ession)) (= (_ tptp.hd_Sec357328890ession @t510) (_ tptp.hd_Sec357328890ession @t604)))))) % 0.47/1.01 (assume @p276 (forall (@list @t605) (=> (not (= @t605 tptp.nil_list_Secrecy_KS)) (=> (not (= @t606 tptp.nil_Secrecy_KS)) (= (_ tptp.hd_Secrecy_KS (_ tptp.concat_Secrecy_KS @t605)) (_ tptp.hd_Secrecy_KS @t606)))))) % 0.47/1.01 (assume @p277 (forall @t79 (= (_ tptp.hd_Sec357328890ession @t75) @t74))) % 0.47/1.01 (assume @p278 (forall @t108 (=> @t107 (= @t507 (_ @t609 (_ @t607 tptp.nil_Secrecy_KS)))))) % 0.47/1.01 (assume @p279 (forall @t115 (=> @t114 (= @t506 (_ @t612 (_ @t610 tptp.nil_Se901661471ession)))))) % 0.47/1.01 (assume @p280 (forall @t437 (= @t616 (and @t615 @t614 @t613)))) % 0.47/1.01 (assume @p281 (forall @t442 (= (_ tptp.distin1495927511ecy_KS @t441) (and @t618 (_ tptp.distin1495927511ecy_KS @t116) @t617)))) % 0.47/1.01 (assume @p282 (forall @t622 (= (_ tptp.distin1076152135ession @t621) (and @t620 (_ tptp.distin1076152135ession @t619))))) % 0.47/1.01 (assume @p283 (forall @t437 (=> @t114 (= (_ tptp.tl_Sec1905266422ession @t428) (_ @t612 @t135))))) % 0.47/1.01 (assume @p284 (forall @t442 (=> @t107 (= (_ tptp.tl_Secrecy_KS @t441) (_ @t609 @t116))))) % 0.47/1.01 (assume @p285 (forall @t626 (=> @t82 (= @t625 @t80)))) % 0.47/1.01 (assume @p286 (forall @t630 (=> @t85 (= @t629 @t83)))) % 0.47/1.01 (assume @p287 (forall @t108 (=> @t107 (= (_ @t607 @t608) @t105)))) % 0.47/1.01 (assume @p288 (forall @t115 (=> @t114 (= (_ @t610 @t611) @t112)))) % 0.47/1.01 (assume @p289 (forall (@list @t83 @t631) (=> (= @t84 @t632) (=> (=> @t85 (=> (not @t632) (and (= @t628 (_ tptp.hd_Sec357328890ession @t631)) (= @t627 (_ tptp.tl_Sec1905266422ession @t631))))) (= @t83 @t631))))) % 0.47/1.01 (assume @p290 (forall (@list @t80 @t633) (=> (= @t81 @t634) (=> (=> @t82 (=> (not @t634) (and (= @t624 (_ tptp.hd_Secrecy_KS @t633)) (= @t623 (_ tptp.tl_Secrecy_KS @t633))))) (= @t80 @t633))))) % 0.47/1.01 (assume @p291 (forall @t437 (=> @t616 @t615))) % 0.47/1.01 (assume @p292 (forall @t437 (=> @t616 @t614))) % 0.47/1.01 (assume @p293 (_ tptp.distin1076152135ession tptp.nil_Se901661471ession)) % 0.47/1.01 (assume @p294 (_ tptp.distin1495927511ecy_KS tptp.nil_Secrecy_KS)) % 0.47/1.01 (assume @p295 (forall @t195 (=> @t635 @t615))) % 0.47/1.01 (assume @p296 (= (_ tptp.tl_Sec1905266422ession tptp.nil_Se901661471ession) tptp.nil_Se901661471ession)) % 0.47/1.01 (assume @p297 (= (_ tptp.tl_Secrecy_KS tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.01 (assume @p298 (forall @t79 (= (_ tptp.tl_Sec1905266422ession @t75) @t72))) % 0.47/1.01 (assume @p299 (forall @t108 (= @t637 @t636))) % 0.47/1.01 (assume @p300 (forall @t115 (= @t639 @t638))) % 0.47/1.01 (assume @p301 (forall @t108 (= (= tptp.nil_Secrecy_KS @t608) @t636))) % 0.47/1.01 (assume @p302 (forall @t115 (= (= tptp.nil_Se901661471ession @t611) @t638))) % 0.47/1.01 (assume @p303 (forall @t115 (=> (or @t113 (not @t639)) (= (_ tptp.last_S1532390982ession @t611) @t525)))) % 0.47/1.01 (assume @p304 (forall @t108 (=> (or @t106 (not @t637)) (= (_ tptp.last_Secrecy_KS @t608) @t527)))) % 0.47/1.01 (assume @p305 (forall @t290 (_ tptp.distin1495927511ecy_KS @t289))) % 0.47/1.01 (assume @p306 (forall @t292 (_ tptp.distin1076152135ession @t291))) % 0.47/1.01 (assume @p307 (forall @t626 (=> @t82 (= @t80 @t625)))) % 0.47/1.01 (assume @p308 (forall @t630 (=> @t85 (= @t83 @t629)))) % 0.47/1.01 (assume @p309 (forall @t505 (= (_ tptp.distin1495927511ecy_KS @t315) (or @t106 (and (not (= @t287 @t593)) @t618))))) % 0.47/1.01 (assume @p310 (forall @t195 (= @t635 (or @t113 (and (not (= @t192 @t592)) @t615))))) % 0.47/1.01 (assume @p311 (forall (@list @t640 @t112 @t135) (= (_ @t641 @t428) (and @t642 (_ @t641 @t135) (or @t113 @t435 (_ (_ @t640 @t525) @t598)))))) % 0.47/1.01 (assume @p312 (forall (@list @t643 @t105 @t116) (= (_ @t644 @t441) (and @t645 (_ @t644 @t116) (or @t106 @t438 (_ (_ @t643 @t527) @t599)))))) % 0.47/1.01 (assume @p313 (forall (@list @t648 @t476 @t105 @t116) (= (_ (_ tptp.member193705948ecy_KS (_ (_ tptp.cons_Secrecy_KS @t648) @t476)) @t649) (or (and @t107 (= @t593 @t648) (_ @t647 (_ (_ tptp.shuffles_Secrecy_KS @t608) @t116))) (and @t523 (= @t599 @t648) (_ @t647 (_ @t646 (_ tptp.tl_Secrecy_KS @t116)))))))) % 0.47/1.01 (assume @p314 (forall (@list @t652 @t424 @t112 @t135) (= (_ @t655 @t653) (or (and @t114 (= @t592 @t652) (_ @t651 (_ (_ tptp.shuffl552897610ession @t611) @t135))) (and @t519 (= @t598 @t652) (_ @t651 (_ @t650 (_ tptp.tl_Sec1905266422ession @t135)))))))) % 0.47/1.01 (assume @p315 (forall @t437 (= @t656 @t436))) % 0.47/1.01 (assume @p316 (forall @t442 (= @t657 @t439))) % 0.47/1.01 (assume @p317 (forall (@list @t476 @t105 @t116) (=> (_ @t647 @t649) (=> (=> (= @t476 @t105) @t523) (=> (=> (= @t476 @t116) @t107) (=> (forall (@list @t123 @t544) (=> (= @t105 (_ @t124 @t544)) (forall @t662 (=> @t661 (=> (= @t123 @t660) (not (_ @t659 (_ (_ tptp.shuffles_Secrecy_KS @t544) @t116)))))))) (not (forall (@list @t119 @t543) (=> (= @t116 (_ @t120 @t543)) (forall @t662 (=> @t661 (=> (= @t119 @t660) (not (_ @t659 (_ @t646 @t543))))))))))))))) % 0.47/1.01 (assume @p318 (forall (@list @t424 @t112 @t135) (=> @t668 (=> (=> (= @t424 @t112) @t519) (=> (=> (= @t424 @t135) @t114) (=> (forall (@list @t148 @t512) (=> (= @t112 (_ @t149 @t512)) (forall @t667 (=> @t666 (=> (= @t148 @t665) (not (_ @t664 (_ (_ tptp.shuffl552897610ession @t512) @t135)))))))) (not (forall (@list @t138 @t539) (=> (= @t135 (_ @t139 @t539)) (forall @t667 (=> @t666 (=> (= @t138 @t665) (not (_ @t664 (_ @t650 @t539))))))))))))))) % 0.47/1.01 (assume @p319 (forall (@list @t643 @t287) (_ @t644 @t289))) % 0.47/1.01 (assume @p320 (forall (@list @t640 @t192) (_ @t641 @t291))) % 0.47/1.01 (assume @p321 (forall (@list @t669 @t308 @t672) (=> (= @t676 @t672) (=> (=> @t310 @t674) (=> (=> (exists @t182 @t675) @t674) (not (forall @t240 (=> @t673 (= @t672 @t671))))))))) % 0.47/1.01 (assume @p322 (forall (@list @t677 @t313 @t672) (=> (= @t683 @t672) (=> (=> @t314 @t674) (=> (=> (exists @t189 @t682) @t674) (not (forall @t243 (=> @t681 (= @t672 @t680))))))))) % 0.47/1.01 (assume @p323 (forall (@list @t669 @t308) (=> @t676 (=> (not @t310) (=> (forall @t182 (not @t675)) (not (forall @t240 (=> @t673 @t671)))))))) % 0.47/1.01 (assume @p324 (forall @t684 (=> @t683 (=> (not @t314) (=> (forall @t189 (not @t682)) (not (forall @t243 (=> @t681 @t680)))))))) % 0.47/1.01 (assume @p325 (forall (@list @t640) (_ @t641 tptp.nil_Se901661471ession))) % 0.47/1.01 (assume @p326 (forall (@list @t643) (_ @t644 tptp.nil_Secrecy_KS))) % 0.47/1.01 (assume @p327 (forall (@list @t640 @t192 @t378 @t112) (= (_ @t641 @t621) (and (_ @t685 @t378) (_ @t641 @t619))))) % 0.47/1.01 (assume @p328 (forall @t684 (=> (not @t683) (not (forall @t243 (=> @t681 @t679)))))) % 0.47/1.01 (assume @p329 (forall @t437 (=> @t113 (=> @t435 @t656)))) % 0.47/1.01 (assume @p330 (forall @t442 (=> @t106 (=> @t438 @t657)))) % 0.47/1.01 (assume @p331 (forall @t686 (=> @t668 (_ @t655 (_ @t650 (_ @t654 @t135)))))) % 0.47/1.01 (assume @p332 (forall @t686 (=> @t668 (_ @t655 (_ (_ tptp.shuffl552897610ession (_ @t654 @t112)) @t135))))) % 0.47/1.01 (assume @p333 (forall (@list @t643 @t287 @t105) (= (_ @t644 @t315) (or @t106 (and (_ (_ @t643 @t287) @t593) @t645))))) % 0.47/1.01 (assume @p334 (forall (@list @t640 @t192 @t112) (= (_ @t641 @t194) (or @t113 (and (_ @t685 @t592) @t642))))) % 0.47/1.01 (assume @p335 (forall @t437 (=> @t613 (= (_ tptp.remdup484344169ession @t428) (_ (_ tptp.append2089414218ession @t687) (_ tptp.remdup484344169ession @t135)))))) % 0.47/1.01 (assume @p336 (forall @t442 (=> @t617 (= (_ tptp.remdup351570169ecy_KS @t441) (_ (_ tptp.append_Secrecy_KS @t688) (_ tptp.remdup351570169ecy_KS @t116)))))) % 0.47/1.01 (assume @p337 (forall (@list @t691 @t287 @t689) (= (_ tptp.remdup351570169ecy_KS (_ @t692 @t690)) (_ (_ tptp.append_Secrecy_KS (_ tptp.remdup351570169ecy_KS (_ @t692 @t289))) (_ tptp.tl_Secrecy_KS (_ tptp.remdup351570169ecy_KS @t690)))))) % 0.47/1.01 (assume @p338 (forall (@list @t695 @t192 @t693) (= (_ tptp.remdup484344169ession (_ @t696 @t694)) (_ (_ tptp.append2089414218ession (_ tptp.remdup484344169ession (_ @t696 @t291))) (_ tptp.tl_Sec1905266422ession (_ tptp.remdup484344169ession @t694)))))) % 0.47/1.01 (assume @p339 (forall @t115 (= (= @t687 tptp.nil_Se901661471ession) @t113))) % 0.47/1.01 (assume @p340 (forall @t108 (= (= @t688 tptp.nil_Secrecy_KS) @t106))) % 0.47/1.01 (assume @p341 (forall @t195 (= (_ @t193 (_ tptp.tl_Sec1905266422ession @t697)) @t697))) % 0.47/1.01 (assume @p342 (forall @t290 (= (_ tptp.remdup351570169ecy_KS @t289) @t289))) % 0.47/1.01 (assume @p343 (forall @t292 (= (_ tptp.remdup484344169ession @t291) @t291))) % 0.47/1.01 (assume @p344 (forall (@list @t244 @t88) (=> (= (_ tptp.remdup351570169ecy_KS @t244) @t88) (=> (=> @t247 @t89) (=> (forall @t182 (=> @t246 (not (= @t88 @t181)))) (not (forall @t240 (=> @t245 (not (and (=> @t238 (= @t88 (_ tptp.remdup351570169ecy_KS @t125))) (=> @t239 (= @t88 (_ @t124 (_ tptp.remdup351570169ecy_KS @t223)))))))))))))) % 0.47/1.01 (assume @p345 (forall (@list @t248 @t92) (=> (= (_ tptp.remdup484344169ession @t248) @t92) (=> (=> @t251 @t93) (=> (forall @t189 (=> @t250 (not (= @t92 @t188)))) (not (forall @t243 (=> @t249 (not (and (=> @t241 (= @t92 (_ tptp.remdup484344169ession @t150))) (=> @t242 (= @t92 (_ @t149 (_ tptp.remdup484344169ession @t232)))))))))))))) % 0.47/1.01 (assume @p346 (forall @t622 (and (=> @t418 (= @t698 @t697)) (=> @t620 (= @t698 (_ @t193 (_ tptp.remdup484344169ession @t619))))))) % 0.47/1.01 (assume @p347 @t702) % 0.47/1.01 (assume @p348 true) % 0.47/1.01 (step @p349 (= tptp.knowle1268625169orrect @t707) :rule refl :args (@t707)) % 0.47/1.01 (step @p350 (= tptp.notSpe1586871396tsExpr @t712) :rule refl :args (@t712)) % 0.47/1.01 (step @p351 (= tptp.concat388015140ession @t714) :rule refl :args (@t714)) % 0.47/1.01 (step @p352 (= tptp.concat_Secrecy_KS @t716) :rule refl :args (@t716)) % 0.47/1.01 (step @p353 :rule refl :args ((tptp.knowle731562421_knows tptp.a @t2))) % 0.47/1.01 (step @p354 :rule refl :args ((tptp.cons_S112077679ession @t1 tptp.nil_Se901661471ession))) % 0.47/1.01 (step @p355 :rule refl :args (tptp.nil_Se901661471ession)) % 0.47/1.01 (step @p356 :rule refl :args (@t717)) % 0.47/1.01 (step @p357 :rule cong :premises (@p356 @p355) :args (@t718)) % 0.47/1.01 (step @p358 :rule trans :premises (@p357 @p354)) % 0.47/1.01 (step @p359 :rule refl :args (tptp.a)) % 0.47/1.01 (step @p360 :rule cong :premises (@p359 @p358) :args (@t719)) % 0.47/1.01 (step @p361 :rule trans :premises (@p360 @p353)) % 0.47/1.01 (step @p362 :rule refl :args (@t3)) % 0.47/1.01 (step @p363 :rule ho_cong :premises (@p362 @p358)) % 0.47/1.01 (step @p364 :rule cong :premises (@p363 @p361) :args ((= (_ @t3 @t718) @t719))) % 0.47/1.01 (step @p365 :rule symm :premises (@p364)) % 0.47/1.01 (step @p366 :rule refl :args (@t4)) % 0.47/1.01 (step @p367 :rule eq_resolve :premises (@p366 @p365)) % 0.47/1.01 (step @p368 :rule refl :args (tptp.cons_S112077679ession)) % 0.47/1.01 (step @p369 :rule ho_cong :premises (@p368 @p356)) % 0.47/1.01 (step @p370 :rule ho_cong :premises (@p369 @p355)) % 0.47/1.01 (step @p371 :rule cong :premises (@p370 @p358) :args ((= (_ (_ tptp.cons_S112077679ession @t717) tptp.nil_Se901661471ession) @t718))) % 0.47/1.01 (step @p372 :rule symm :premises (@p371)) % 0.47/1.01 (step @p373 :rule refl :args (@t2)) % 0.47/1.01 (step @p374 :rule eq_resolve :premises (@p373 @p372)) % 0.47/1.01 (step @p375 :rule refl :args (tptp.nil_Se901661471ession)) % 0.47/1.01 (step @p376 :rule refl :args (@t1)) % 0.47/1.01 (step @p377 :rule cong :premises (@p376 @p356) :args ((= @t1 @t717))) % 0.47/1.01 (step @p378 :rule symm :premises (@p377)) % 0.47/1.01 (step @p379 :rule eq_resolve :premises (@p376 @p378)) % 0.47/1.01 (step @p380 :rule refl :args (tptp.cons_S112077679ession)) % 0.47/1.01 (step @p381 :rule ho_cong :premises (@p380 @p379)) % 0.47/1.01 (step @p382 :rule ho_cong :premises (@p381 @p375)) % 0.47/1.01 (step @p383 :rule trans :premises (@p382 @p374)) % 0.47/1.01 (step @p384 :rule refl :args (@t3)) % 0.47/1.01 (step @p385 :rule ho_cong :premises (@p384 @p383)) % 0.47/1.01 (step @p386 :rule trans :premises (@p385 @p367)) % 0.47/1.01 (step @p387 :rule eq_resolve :premises (@p1 @p386)) % 0.47/1.01 (step @p388 :rule refl :args ((tptp.secrec1016742679ession @t14))) % 0.47/1.01 (step @p389 :rule refl :args (@t720)) % 0.47/1.01 (step @p390 :rule cong :premises (@p389) :args (@t721)) % 0.47/1.01 (step @p391 :rule trans :premises (@p390 @p388)) % 0.47/1.01 (step @p392 :rule refl :args (tptp.secrec1016742679ession)) % 0.47/1.01 (step @p393 :rule ho_cong :premises (@p392 @p389)) % 0.47/1.01 (step @p394 :rule cong :premises (@p393 @p391) :args ((= (_ tptp.secrec1016742679ession @t720) @t721))) % 0.47/1.01 (step @p395 :rule symm :premises (@p394)) % 0.47/1.01 (step @p396 :rule refl :args (@t39)) % 0.47/1.01 (step @p397 :rule eq_resolve :premises (@p396 @p395)) % 0.47/1.01 (step @p398 :rule refl :args (@t14)) % 0.47/1.01 (step @p399 :rule cong :premises (@p398 @p389) :args ((= @t14 @t720))) % 0.47/1.01 (step @p400 :rule symm :premises (@p399)) % 0.47/1.01 (step @p401 :rule eq_resolve :premises (@p398 @p400)) % 0.47/1.01 (step @p402 :rule ho_cong :premises (@p392 @p401)) % 0.47/1.01 (step @p403 :rule trans :premises (@p402 @p397)) % 0.47/1.01 (step @p404 :rule refl :args (@t722)) % 0.47/1.01 (step @p405 :rule refl :args (@t11)) % 0.47/1.01 (step @p406 :rule cong :premises (@p405 @p404) :args ((= @t11 @t722))) % 0.47/1.01 (step @p407 :rule symm :premises (@p406)) % 0.47/1.01 (step @p408 :rule eq_resolve :premises (@p405 @p407)) % 0.47/1.01 (step @p409 :rule cong :premises (@p408 @p403) :args (@t723)) % 0.47/1.01 (step @p410 :rule cong :premises (@p409) :args ((forall @t40 @t723))) % 0.47/1.01 (step @p411 :rule eq-symm :args (@t39 @t11)) % 0.47/1.01 (step @p412 :rule cong :premises (@p411) :args (@t41)) % 0.47/1.01 (step @p413 :rule trans :premises (@p412 @p410)) % 0.47/1.01 (step @p414 :rule eq_resolve :premises (@p8 @p413)) % 0.47/1.01 (step @p415 :rule instantiate :premises (@p414) :args ((@list tptp.m))) % 0.47/1.01 (step @p416 :rule refl :args ((tptp.knowle945212990e_know @t20 @t19))) % 0.47/1.01 (step @p417 :rule refl :args (@t724)) % 0.47/1.01 (step @p418 :rule refl :args (@t20)) % 0.47/1.01 (step @p419 :rule cong :premises (@p418 @p417) :args (@t725)) % 0.47/1.01 (step @p420 :rule trans :premises (@p419 @p416)) % 0.47/1.01 (step @p421 :rule refl :args (@t21)) % 0.47/1.01 (step @p422 :rule ho_cong :premises (@p421 @p417)) % 0.47/1.01 (step @p423 :rule cong :premises (@p422 @p420) :args ((= (_ @t21 @t724) @t725))) % 0.47/1.01 (step @p424 :rule symm :premises (@p423)) % 0.47/1.01 (step @p425 :rule refl :args (@t22)) % 0.47/1.01 (step @p426 :rule eq_resolve :premises (@p425 @p424)) % 0.47/1.01 (step @p427 :rule refl :args (@t19)) % 0.47/1.01 (step @p428 :rule cong :premises (@p427 @p417) :args ((= @t19 @t724))) % 0.47/1.01 (step @p429 :rule symm :premises (@p428)) % 0.47/1.01 (step @p430 :rule eq_resolve :premises (@p427 @p429)) % 0.47/1.01 (step @p431 :rule ho_cong :premises (@p421 @p430)) % 0.47/1.01 (step @p432 :rule trans :premises (@p431 @p426)) % 0.47/1.01 (step @p433 :rule refl :args ((tptp.knowle731562421_knows @t20 @t24))) % 0.47/1.01 (step @p434 :rule refl :args ((tptp.cons_S112077679ession @t23 tptp.nil_Se901661471ession))) % 0.47/1.01 (step @p435 :rule refl :args ((tptp.secrec1016742679ession @t19))) % 0.47/1.01 (step @p436 :rule cong :premises (@p417) :args (@t726)) % 0.47/1.01 (step @p437 :rule trans :premises (@p436 @p435)) % 0.47/1.01 (step @p438 :rule cong :premises (@p437 @p355) :args (@t727)) % 0.47/1.01 (step @p439 :rule trans :premises (@p438 @p434)) % 0.47/1.01 (step @p440 :rule cong :premises (@p418 @p439) :args (@t728)) % 0.47/1.01 (step @p441 :rule trans :premises (@p440 @p433)) % 0.47/1.01 (step @p442 :rule refl :args (@t25)) % 0.47/1.01 (step @p443 :rule ho_cong :premises (@p442 @p439)) % 0.47/1.01 (step @p444 :rule cong :premises (@p443 @p441) :args ((= (_ @t25 @t727) @t728))) % 0.47/1.01 (step @p445 :rule symm :premises (@p444)) % 0.47/1.01 (step @p446 :rule refl :args (@t26)) % 0.47/1.01 (step @p447 :rule eq_resolve :premises (@p446 @p445)) % 0.47/1.01 (step @p448 :rule ho_cong :premises (@p368 @p437)) % 0.47/1.01 (step @p449 :rule ho_cong :premises (@p448 @p355)) % 0.47/1.01 (step @p450 :rule cong :premises (@p449 @p439) :args ((= (_ (_ tptp.cons_S112077679ession @t726) tptp.nil_Se901661471ession) @t727))) % 0.47/1.01 (step @p451 :rule symm :premises (@p450)) % 0.47/1.01 (step @p452 :rule refl :args (@t24)) % 0.47/1.01 (step @p453 :rule eq_resolve :premises (@p452 @p451)) % 0.47/1.01 (step @p454 :rule ho_cong :premises (@p392 @p417)) % 0.47/1.01 (step @p455 :rule cong :premises (@p454 @p437) :args ((= (_ tptp.secrec1016742679ession @t724) @t726))) % 0.47/1.01 (step @p456 :rule symm :premises (@p455)) % 0.47/1.01 (step @p457 :rule refl :args (@t23)) % 0.47/1.01 (step @p458 :rule eq_resolve :premises (@p457 @p456)) % 0.47/1.01 (step @p459 :rule ho_cong :premises (@p392 @p430)) % 0.47/1.01 (step @p460 :rule trans :premises (@p459 @p458)) % 0.47/1.01 (step @p461 :rule ho_cong :premises (@p368 @p460)) % 0.47/1.01 (step @p462 :rule ho_cong :premises (@p461 @p355)) % 0.47/1.01 (step @p463 :rule trans :premises (@p462 @p453)) % 0.47/1.01 (step @p464 :rule ho_cong :premises (@p442 @p463)) % 0.47/1.01 (step @p465 :rule trans :premises (@p464 @p447)) % 0.47/1.01 (step @p466 :rule cong :premises (@p465 @p432) :args (@t27)) % 0.47/1.01 (step @p467 :rule cong :premises (@p466) :args (@t29)) % 0.47/1.01 (step @p468 :rule eq_resolve :premises (@p4 @p467)) % 0.47/1.01 (step @p469 :rule eq-symm :args (@t732 @t733)) % 0.47/1.01 (step @p470 :rule refl :args (@t734)) % 0.47/1.01 (step @p471 :rule cong :premises (@p470 @p469) :args ((=> @t734 @t735))) % 0.47/1.01 (assume-push @p518 @t734) % 0.47/1.01 (step @p473 :rule instantiate :premises (@p468) :args ((@list tptp.a tptp.m))) % 0.47/1.01 (step-pop @p519 :rule scope :premises (@p473)) % 0.47/1.01 (step @p474 :rule process_scope :premises (@p519) :args (@t735)) % 0.47/1.01 (step @p476 :rule eq_resolve :premises (@p474 @p471)) % 0.47/1.01 (step @p477 :rule implies_elim :premises (@p476)) % 0.47/1.01 (step @p478 :rule chain_m_resolution :premises (@p477 @p468) :args (@t736 (@list false) (@list @t734))) % 0.47/1.01 (step @p479 :rule refl :args ((tptp.knowle945212990e_know tptp.a @t699))) % 0.47/1.01 (step @p480 :rule refl :args (@t729)) % 0.47/1.01 (step @p481 :rule cong :premises (@p359 @p480) :args (@t733)) % 0.47/1.01 (step @p482 :rule trans :premises (@p481 @p479)) % 0.47/1.01 (step @p483 :rule refl :args (@t700)) % 0.47/1.01 (step @p484 :rule ho_cong :premises (@p483 @p480)) % 0.47/1.01 (step @p485 :rule cong :premises (@p484 @p482) :args ((= (_ @t700 @t729) @t733))) % 0.47/1.01 (step @p486 :rule symm :premises (@p485)) % 0.47/1.01 (step @p487 :rule refl :args (@t701)) % 0.47/1.01 (step @p488 :rule eq_resolve :premises (@p487 @p486)) % 0.47/1.01 (step @p489 :rule refl :args (@t699)) % 0.47/1.01 (step @p490 :rule cong :premises (@p489 @p480) :args ((= @t699 @t729))) % 0.47/1.01 (step @p491 :rule symm :premises (@p490)) % 0.47/1.01 (step @p492 :rule eq_resolve :premises (@p489 @p491)) % 0.47/1.01 (step @p493 :rule refl :args (@t700)) % 0.47/1.01 (step @p494 :rule ho_cong :premises (@p493 @p492)) % 0.47/1.01 (step @p495 :rule trans :premises (@p494 @p488)) % 0.47/1.01 (step @p496 :rule cong :premises (@p495) :args (@t702)) % 0.47/1.01 (step @p497 :rule eq_resolve :premises (@p347 @p496)) % 0.47/1.01 (step @p498 :rule cnf_equiv_pos2 :args (@t736)) % 0.47/1.01 (step @p499 :rule reordering :premises (@p498) :args ((or @t733 @t737 (not @t736)))) % 0.47/1.01 (step @p500 :rule chain_m_resolution :premises (@p499 @p497 @p478) :args (@t737 (@list true false) (@list @t733 @t736))) % 0.47/1.01 (assume-push @p520 @t719) % 0.47/1.01 (assume-push @p521 @t738) % 0.47/1.01 (step @p503 :rule true_intro :premises (@p387)) % 0.47/1.01 (step @p504 :rule symm :premises (@p415)) % 0.47/1.01 (step @p505 :rule cong :premises (@p504 @p375) :args (@t731)) % 0.47/1.01 (step @p506 :rule refl :args (tptp.a)) % 0.47/1.01 (step @p507 :rule cong :premises (@p506 @p505) :args (@t732)) % 0.47/1.01 (step @p508 :rule trans :premises (@p507 @p503)) % 0.47/1.01 (step @p509 :rule true_elim :premises (@p508)) % 0.47/1.01 (step-pop @p522 :rule scope :premises (@p509)) % 0.47/1.01 (step-pop @p523 :rule scope :premises (@p522)) % 0.47/1.01 (step @p510 :rule process_scope :premises (@p523) :args (@t732)) % 0.47/1.01 (step @p513 :rule implies_elim :premises (@p510)) % 0.47/1.01 (step @p514 :rule cnf_and_neg :args (@t739)) % 0.47/1.01 (step @p515 :rule resolution :premises (@p514 @p513) :args (true @t739)) % 0.47/1.01 (step @p516 :rule reordering :premises (@p515) :args ((or (not @t719) @t732 (not @t738)))) % 0.47/1.01 (step @p517 false :rule chain_m_resolution :premises (@p516 @p500 @p415 @p387) :args (false (@list true false false) (@list @t732 @t738 @t719))) % 0.47/1.01 ) % 0.47/1.01 % SZS output end Proof % 0.47/1.01 % cvc5 exiting %------------------------------------------------------------------------------