%------------------------------------------------------------------------------ % File : cvc5---1.3.4 % Problem : ITP084^1 : 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 : n010.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 : ITP084^1 : TPTP v9.2.1. Released v7.5.0. % 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/do_cvc5 /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM % 0.17/0.35 % Computer : n010.cluster.edu % 0.17/0.35 % Model : x86_64 x86_64 % 0.17/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.17/0.35 % Memory : 8042.1875MB % 0.17/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.17/0.35 % CPULimit : 300 % 0.17/0.35 % WCLimit : 300 % 0.17/0.35 % DateTime : Tue Jun 2 04:13:40 EDT 2026 % 0.17/0.35 % CPUTime : % 0.41/0.63 %----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_Se1942955227ession 0) % 0.47/1.00 (declare-sort tptp.set_Secrecy_KS 0) % 0.47/1.00 (declare-sort tptp.set_li2007071804ecrets 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-sort tptp.set_Secrecy_Keys 0) % 0.47/1.00 (declare-sort tptp.list_list_Secrecy_KS 0) % 0.47/1.00 (declare-sort tptp.list_l425507653ession 0) % 0.47/1.00 (declare-sort tptp.secrecy_specID 0) % 0.47/1.00 (declare-sort tptp.secrecy_Secrets 0) % 0.47/1.00 (declare-const tptp.nil_Se901661471ession tptp.list_S529945141ession) % 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.cons_S112077679ession (-> tptp.secrecy_Expression tptp.list_S529945141ession 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.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.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.specKeys (-> tptp.secrecy_specID tptp.set_Secrecy_Keys)) % 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.mem_Se1967555118ession (-> tptp.secrecy_Expression tptp.list_S529945141ession Bool)) % 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.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.shuffl552897610ession (-> tptp.list_S529945141ession tptp.list_S529945141ession tptp.set_li185139947ession)) % 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.distin1495927511ecy_KS (-> tptp.list_Secrecy_KS 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.rev_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 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.bNF_Gr275623750ession (-> tptp.set_li185139947ession tptp.secrecy_Expression tptp.set_li185139947ession)) % 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.bNF_Gr414702370y_Keys (-> tptp.set_li849033543y_Keys tptp.secrecy_Keys tptp.set_li849033543y_Keys)) % 0.47/1.00 (declare-const tptp.member279582780ession (-> tptp.secrecy_Expression tptp.set_Se1942955227ession Bool)) % 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.member249235532ession (-> tptp.list_S529945141ession tptp.set_li185139947ession Bool)) % 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.member193705948ecy_KS (-> tptp.list_Secrecy_KS tptp.set_list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.member1138497285ecrets (-> tptp.list_Secrecy_Secrets tptp.set_li2007071804ecrets Bool)) % 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.member341114536y_Keys (-> tptp.list_Secrecy_Keys tptp.set_li849033543y_Keys 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.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.maps_S1434541085ession (-> (-> tptp.secrecy_KS tptp.list_S529945141ession) tptp.list_Secrecy_KS 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.butlas171474643ession (-> tptp.list_S529945141ession tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.butlast_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.monoid1528146052ecy_KS (-> (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS tptp.list_Secrecy_KS) tptp.list_Secrecy_KS Bool)) % 0.47/1.00 (declare-const tptp.rotate1237234450ession (-> tptp.list_S529945141ession tptp.list_S529945141ession)) % 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.map_ta1624757057ession (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression) tptp.list_S529945141ession tptp.list_S529945141ession tptp.list_S529945141ession)) % 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.encrDecrKeys (-> tptp.secrecy_Keys tptp.secrecy_Keys Bool)) % 0.47/1.00 (declare-const tptp.list_e1486860828ession (-> (-> tptp.secrecy_Expression Bool) tptp.list_S529945141ession 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.insert_Secrecy_KS (-> tptp.secrecy_KS tptp.list_Secrecy_KS tptp.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.distin1076152135ession (-> tptp.list_S529945141ession 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.nil_Secrecy_Keys tptp.list_Secrecy_Keys) % 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.append1105297242ession (-> tptp.list_l425507653ession tptp.list_l425507653ession tptp.list_l425507653ession)) % 0.47/1.00 (declare-const tptp.nil_Secrecy_Secrets tptp.list_Secrecy_Secrets) % 0.47/1.00 (declare-const tptp.m tptp.secrecy_Keys) % 0.47/1.00 (declare-const tptp.secrec1371625429on2KSL (-> tptp.list_S529945141ession tptp.list_Secrecy_KS)) % 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.nil_list_Secrecy_KS tptp.list_list_Secrecy_KS) % 0.47/1.00 (declare-const tptp.nil_li311616943ession tptp.list_l425507653ession) % 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.bind_S815874003ession (-> tptp.list_S529945141ession (-> tptp.secrecy_Expression tptp.list_S529945141ession) tptp.list_S529945141ession)) % 0.47/1.00 (declare-const tptp.collec836099393ecrets (-> (-> tptp.secrecy_Secrets Bool) tptp.set_Secrecy_Secrets)) % 0.47/1.00 (declare-const tptp.knowle233900195orrect (-> tptp.secrecy_specID tptp.secrecy_KS Bool)) % 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.shuffles_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS tptp.set_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_list_Secrecy_KS (-> tptp.list_Secrecy_KS tptp.list_list_Secrecy_KS tptp.list_list_Secrecy_KS)) % 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.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.secrec1016742679ession (-> tptp.secrecy_KS tptp.secrecy_Expression)) % 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.ine (-> tptp.secrecy_specID tptp.secrecy_Expression Bool)) % 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.localSecrets (-> tptp.secrecy_specID tptp.set_Secrecy_KS)) % 0.47/1.00 (declare-const tptp.a tptp.secrecy_specID) % 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.produc1450295286ession (-> tptp.list_l425507653ession tptp.list_l425507653ession)) % 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.sign (-> tptp.secrecy_Keys tptp.list_S529945141ession tptp.list_S529945141ession)) % 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.monoid929671412ession (-> (-> tptp.list_S529945141ession tptp.list_S529945141ession tptp.list_S529945141ession) tptp.list_S529945141ession Bool)) % 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.disjoi1945222607ession (-> tptp.list_S529945141ession tptp.list_S529945141ession Bool)) % 0.47/1.00 (declare-const tptp.subseq348280080ession (-> tptp.list_S529945141ession tptp.list_l425507653ession)) % 0.47/1.00 (declare-const tptp.enc (-> tptp.secrecy_Keys tptp.list_S529945141ession tptp.list_S529945141ession)) % 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.memS_S2026082737ession (-> tptp.secrecy_Expression tptp.list_S529945141ession Bool)) % 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.ext (-> tptp.secrecy_Keys tptp.list_S529945141ession tptp.list_S529945141ession)) % 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.bNF_Gr957048817ecrets (-> tptp.set_li2007071804ecrets tptp.list_Secrecy_Secrets 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.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.mem_Secrecy_KS (-> tptp.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.listre565996059ecy_KS (-> (-> tptp.secrecy_Expression tptp.secrecy_KS Bool) tptp.list_S529945141ession tptp.list_Secrecy_KS Bool)) % 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.member2020590922ession (-> tptp.list_S529945141ession tptp.secrecy_Expression Bool)) % 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 (define tptp.knowle1268625169orrect () (let ((_let_1 (@var "E2" tptp.secrecy_Expression))) (let ((_let_2 (@var "C2" tptp.secrecy_specID))) (let ((_let_3 (@var "S" tptp.secrecy_Secrets))) (let ((_let_4 (@var "K3" 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 "Y2" 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_kE 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 "Y1" tptp.secrecy_Keys)) % 0.47/1.00 (define @t6 () (@var "X1" tptp.secrecy_Keys)) % 0.47/1.00 (define @t7 () (= @t6 @t5)) % 0.47/1.00 (define @t8 () (_ tptp.secrecy_kKS @t6)) % 0.47/1.00 (define @t9 () (@list @t6 @t5)) % 0.47/1.00 (define @t10 () (@var "E" tptp.list_S529945141ession)) % 0.47/1.00 (define @t11 () (@var "A" tptp.secrecy_specID)) % 0.47/1.00 (define @t12 () (_ tptp.knowle731562421_knows @t11)) % 0.47/1.00 (define @t13 () (_ @t12 @t10)) % 0.47/1.00 (define @t14 () (@var "K1" tptp.secrecy_Keys)) % 0.47/1.00 (define @t15 () (@var "K2" tptp.secrecy_Keys)) % 0.47/1.00 (define @t16 () (_ tptp.knowle945212990e_know @t11)) % 0.47/1.00 (define @t17 () (@var "IncrDecrKeys" (-> tptp.secrecy_Keys tptp.secrecy_Keys Bool))) % 0.47/1.00 (define @t18 () (_ (_ @t17 @t14) @t15)) % 0.47/1.00 (define @t19 () (@list @t17 @t14 @t15 @t11 @t10)) % 0.47/1.00 (define @t20 () (@var "E1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t21 () (@var "K" tptp.secrecy_Keys)) % 0.47/1.00 (define @t22 () (_ @t12 @t20)) % 0.47/1.00 (define @t23 () (and (_ @t16 (_ tptp.secrecy_kKS @t21)) @t22)) % 0.47/1.00 (define @t24 () (@list @t11 @t21 @t20)) % 0.47/1.00 (define @t25 () (@var "M" tptp.secrecy_Keys)) % 0.47/1.00 (define @t26 () (_ tptp.secrecy_kE @t25)) % 0.47/1.00 (define @t27 () (_ tptp.secrecy_kKS @t25)) % 0.47/1.00 (define @t28 () (_ @t16 @t27)) % 0.47/1.00 (define @t29 () (@list @t11 @t25)) % 0.47/1.00 (define @t30 () (@var "M1" tptp.secrecy_Keys)) % 0.47/1.00 (define @t31 () (_ tptp.secrecy_kKS @t30)) % 0.47/1.00 (define @t32 () (@var "C" tptp.secrecy_specID)) % 0.47/1.00 (define @t33 () (_ tptp.knowle945212990e_know @t32)) % 0.47/1.00 (define @t34 () (_ @t33 @t31)) % 0.47/1.00 (define @t35 () (_ tptp.secrec1016742679ession @t31)) % 0.47/1.00 (define @t36 () (_ (_ tptp.cons_S112077679ession @t35) tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t37 () (_ tptp.knowle731562421_knows @t32)) % 0.47/1.00 (define @t38 () (_ @t37 @t36)) % 0.47/1.00 (define @t39 () (= @t38 @t34)) % 0.47/1.00 (define @t40 () (@list @t32 @t30)) % 0.47/1.00 (define @t41 () (forall @t40 @t39)) % 0.47/1.00 (define @t42 () (_ tptp.specKeys @t32)) % 0.47/1.00 (define @t43 () (or (_ (_ tptp.member_Secrecy_Keys @t25) @t42) (_ @t33 @t27))) % 0.47/1.00 (define @t44 () (_ tptp.eout @t32)) % 0.47/1.00 (define @t45 () (_ @t44 @t26)) % 0.47/1.00 (define @t46 () (_ tptp.knowle233900195orrect @t32)) % 0.47/1.00 (define @t47 () (_ @t46 @t27)) % 0.47/1.00 (define @t48 () (@list @t32 @t25)) % 0.47/1.00 (define @t49 () (_ tptp.localSecrets @t11)) % 0.47/1.00 (define @t50 () (_ tptp.ine @t11)) % 0.47/1.00 (define @t51 () (_ tptp.secrecy_kE @t6)) % 0.47/1.00 (define @t52 () (_ tptp.secrec1016742679ession @t27)) % 0.47/1.00 (define @t53 () (@list @t25)) % 0.47/1.00 (define @t54 () (forall @t53 (= @t52 @t26))) % 0.47/1.00 (define @t55 () (@var "Y22" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t56 () (@var "X22" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t57 () (@var "Y21" tptp.secrecy_KS)) % 0.47/1.00 (define @t58 () (@var "X21" tptp.secrecy_KS)) % 0.47/1.00 (define @t59 () (_ (_ tptp.cons_Secrecy_KS @t58) @t56)) % 0.47/1.00 (define @t60 () (@var "Y22" tptp.list_l425507653ession)) % 0.47/1.00 (define @t61 () (@var "X22" tptp.list_l425507653ession)) % 0.47/1.00 (define @t62 () (@var "Y21" tptp.list_S529945141ession)) % 0.47/1.00 (define @t63 () (@var "X21" tptp.list_S529945141ession)) % 0.47/1.00 (define @t64 () (_ (_ tptp.cons_l533358079ession @t63) @t61)) % 0.47/1.00 (define @t65 () (@var "Y22" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t66 () (@var "X22" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t67 () (@var "Y21" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t68 () (@var "X21" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t69 () (_ (_ tptp.cons_list_Secrecy_KS @t68) @t66)) % 0.47/1.00 (define @t70 () (@var "Y22" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t71 () (@var "X22" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t72 () (@var "Y21" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t73 () (@var "X21" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t74 () (_ (_ tptp.cons_Secrecy_Secrets @t73) @t71)) % 0.47/1.00 (define @t75 () (@var "Y22" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t76 () (@var "X22" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t77 () (@var "Y21" tptp.secrecy_Keys)) % 0.47/1.00 (define @t78 () (@var "X21" tptp.secrecy_Keys)) % 0.47/1.00 (define @t79 () (_ (_ tptp.cons_Secrecy_Keys @t78) @t76)) % 0.47/1.00 (define @t80 () (@var "Y22" tptp.list_S529945141ession)) % 0.47/1.00 (define @t81 () (@var "X22" tptp.list_S529945141ession)) % 0.47/1.00 (define @t82 () (@var "Y21" tptp.secrecy_Expression)) % 0.47/1.00 (define @t83 () (@var "X21" tptp.secrecy_Expression)) % 0.47/1.00 (define @t84 () (_ (_ tptp.cons_S112077679ession @t83) @t81)) % 0.47/1.00 (define @t85 () (@var "M2" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t86 () (_ tptp.secrecy_sKS @t85)) % 0.47/1.00 (define @t87 () (@list @t83 @t81)) % 0.47/1.00 (define @t88 () (@var "List" tptp.list_l425507653ession)) % 0.47/1.00 (define @t89 () (@var "List" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t90 () (@var "List" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t91 () (@var "List" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t92 () (@var "List" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t93 () (= @t92 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t94 () (not @t93)) % 0.47/1.00 (define @t95 () (@var "List" tptp.list_S529945141ession)) % 0.47/1.00 (define @t96 () (= @t95 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t97 () (not @t96)) % 0.47/1.00 (define @t98 () (@var "X222" tptp.list_l425507653ession)) % 0.47/1.00 (define @t99 () (@var "X212" tptp.list_S529945141ession)) % 0.47/1.00 (define @t100 () (@var "Y" tptp.list_l425507653ession)) % 0.47/1.00 (define @t101 () (@var "X222" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t102 () (@var "X212" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t103 () (@var "Y" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t104 () (@var "X222" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t105 () (@var "X212" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t106 () (@var "Y" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t107 () (@var "X222" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t108 () (@var "X212" tptp.secrecy_Keys)) % 0.47/1.00 (define @t109 () (@var "Y" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t110 () (@var "X222" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t111 () (@var "X212" tptp.secrecy_KS)) % 0.47/1.00 (define @t112 () (@var "Y" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t113 () (@var "X222" tptp.list_S529945141ession)) % 0.47/1.00 (define @t114 () (@var "X212" tptp.secrecy_Expression)) % 0.47/1.00 (define @t115 () (@var "Y" tptp.list_S529945141ession)) % 0.47/1.00 (define @t116 () (@var "P" (-> tptp.list_l425507653ession Bool))) % 0.47/1.00 (define @t117 () (@var "X2" tptp.list_l425507653ession)) % 0.47/1.00 (define @t118 () (@var "X12" tptp.list_S529945141ession)) % 0.47/1.00 (define @t119 () (@var "P" (-> tptp.list_list_Secrecy_KS Bool))) % 0.47/1.00 (define @t120 () (@var "X2" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t121 () (@var "X12" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t122 () (@var "P" (-> tptp.list_Secrecy_Secrets Bool))) % 0.47/1.00 (define @t123 () (@var "X2" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t124 () (@var "X12" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t125 () (@var "P" (-> tptp.list_Secrecy_Keys Bool))) % 0.47/1.00 (define @t126 () (@var "X2" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t127 () (@var "X12" tptp.secrecy_Keys)) % 0.47/1.00 (define @t128 () (@var "P" (-> tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t129 () (@var "X2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t130 () (@var "X12" tptp.secrecy_KS)) % 0.47/1.00 (define @t131 () (_ @t128 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t132 () (@var "P" (-> tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t133 () (@var "X2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t134 () (@var "X12" tptp.secrecy_Expression)) % 0.47/1.00 (define @t135 () (_ @t132 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t136 () (@var "Ys" tptp.list_l425507653ession)) % 0.47/1.00 (define @t137 () (@var "Y2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t138 () (@var "Xs" tptp.list_l425507653ession)) % 0.47/1.00 (define @t139 () (not (= @t138 tptp.nil_li311616943ession))) % 0.47/1.00 (define @t140 () (@list @t138)) % 0.47/1.00 (define @t141 () (@var "Ys" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t142 () (@var "Y2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t143 () (@var "Xs" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t144 () (not (= @t143 tptp.nil_list_Secrecy_KS))) % 0.47/1.00 (define @t145 () (@list @t143)) % 0.47/1.00 (define @t146 () (@var "Ys" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t147 () (@var "Y2" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t148 () (@var "Xs" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t149 () (@var "Ys" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t150 () (@var "Y2" tptp.secrecy_Keys)) % 0.47/1.00 (define @t151 () (@var "Xs" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t152 () (@var "Ys" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t153 () (@var "Y2" tptp.secrecy_KS)) % 0.47/1.00 (define @t154 () (_ (_ tptp.cons_Secrecy_KS @t153) @t152)) % 0.47/1.00 (define @t155 () (@var "Xs" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t156 () (= @t155 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t157 () (not @t156)) % 0.47/1.00 (define @t158 () (@list @t155)) % 0.47/1.00 (define @t159 () (@var "Ys" tptp.list_S529945141ession)) % 0.47/1.00 (define @t160 () (@var "Y2" tptp.secrecy_Expression)) % 0.47/1.00 (define @t161 () (_ (_ tptp.cons_S112077679ession @t160) @t159)) % 0.47/1.00 (define @t162 () (@var "Xs" tptp.list_S529945141ession)) % 0.47/1.00 (define @t163 () (= @t162 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t164 () (not @t163)) % 0.47/1.00 (define @t165 () (@list @t162)) % 0.47/1.00 (define @t166 () (@var "Ys2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t167 () (@var "P" (-> tptp.list_Secrecy_Keys tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t168 () (@var "Ys3" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t169 () (@var "Y3" tptp.secrecy_KS)) % 0.47/1.00 (define @t170 () (_ tptp.cons_Secrecy_KS @t169)) % 0.47/1.00 (define @t171 () (_ @t170 @t168)) % 0.47/1.00 (define @t172 () (@var "Xs2" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t173 () (@var "X" tptp.secrecy_Keys)) % 0.47/1.00 (define @t174 () (_ (_ tptp.cons_Secrecy_Keys @t173) @t172)) % 0.47/1.00 (define @t175 () (_ @t167 @t174)) % 0.47/1.00 (define @t176 () (_ @t167 tptp.nil_Secrecy_Keys)) % 0.47/1.00 (define @t177 () (@list @t169 @t168)) % 0.47/1.00 (define @t178 () (@list @t173 @t172)) % 0.47/1.00 (define @t179 () (@var "Ys2" tptp.list_l425507653ession)) % 0.47/1.00 (define @t180 () (@var "P" (-> tptp.list_Secrecy_Keys tptp.list_l425507653ession Bool))) % 0.47/1.00 (define @t181 () (@var "Ys3" tptp.list_l425507653ession)) % 0.47/1.00 (define @t182 () (@var "Y3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t183 () (_ (_ tptp.cons_l533358079ession @t182) @t181)) % 0.47/1.00 (define @t184 () (_ @t180 @t174)) % 0.47/1.00 (define @t185 () (_ @t180 tptp.nil_Secrecy_Keys)) % 0.47/1.00 (define @t186 () (@var "Ys2" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t187 () (@var "P" (-> tptp.list_Secrecy_Keys tptp.list_list_Secrecy_KS Bool))) % 0.47/1.00 (define @t188 () (@var "Ys3" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t189 () (@var "Y3" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t190 () (_ (_ tptp.cons_list_Secrecy_KS @t189) @t188)) % 0.47/1.00 (define @t191 () (_ @t187 @t174)) % 0.47/1.00 (define @t192 () (_ @t187 tptp.nil_Secrecy_Keys)) % 0.47/1.00 (define @t193 () (@var "Ys2" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t194 () (@var "P" (-> tptp.list_Secrecy_Keys tptp.list_Secrecy_Secrets Bool))) % 0.47/1.00 (define @t195 () (@var "Ys3" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t196 () (@var "Y3" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t197 () (_ (_ tptp.cons_Secrecy_Secrets @t196) @t195)) % 0.47/1.00 (define @t198 () (_ @t194 @t174)) % 0.47/1.00 (define @t199 () (_ @t194 tptp.nil_Secrecy_Keys)) % 0.47/1.00 (define @t200 () (@var "Ys2" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t201 () (@var "P" (-> tptp.list_Secrecy_Keys tptp.list_Secrecy_Keys Bool))) % 0.47/1.00 (define @t202 () (@var "Ys3" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t203 () (@var "Y3" tptp.secrecy_Keys)) % 0.47/1.00 (define @t204 () (_ (_ tptp.cons_Secrecy_Keys @t203) @t202)) % 0.47/1.00 (define @t205 () (_ @t201 @t174)) % 0.47/1.00 (define @t206 () (_ @t201 tptp.nil_Secrecy_Keys)) % 0.47/1.00 (define @t207 () (@var "P" (-> tptp.list_Secrecy_KS tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t208 () (@var "Xs2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t209 () (@var "X" tptp.secrecy_KS)) % 0.47/1.00 (define @t210 () (_ tptp.cons_Secrecy_KS @t209)) % 0.47/1.00 (define @t211 () (_ @t210 @t208)) % 0.47/1.00 (define @t212 () (_ @t207 @t211)) % 0.47/1.00 (define @t213 () (_ @t212 @t171)) % 0.47/1.00 (define @t214 () (_ @t207 @t208)) % 0.47/1.00 (define @t215 () (=> (_ @t214 @t168) @t213)) % 0.47/1.00 (define @t216 () (@list @t209 @t208 @t169 @t168)) % 0.47/1.00 (define @t217 () (_ @t207 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t218 () (@list @t209 @t208)) % 0.47/1.00 (define @t219 () (_ @t217 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t220 () (@var "Ys2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t221 () (@var "P" (-> tptp.list_Secrecy_KS tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t222 () (@var "Ys3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t223 () (@var "Y3" tptp.secrecy_Expression)) % 0.47/1.00 (define @t224 () (_ tptp.cons_S112077679ession @t223)) % 0.47/1.00 (define @t225 () (_ @t224 @t222)) % 0.47/1.00 (define @t226 () (_ @t221 @t211)) % 0.47/1.00 (define @t227 () (=> (_ (_ @t221 @t208) @t222) (_ @t226 @t225))) % 0.47/1.00 (define @t228 () (_ @t221 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t229 () (@list @t223 @t222)) % 0.47/1.00 (define @t230 () (_ @t228 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t231 () (@var "P" (-> tptp.list_S529945141ession tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t232 () (@var "Xs2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t233 () (@var "X" tptp.secrecy_Expression)) % 0.47/1.00 (define @t234 () (_ tptp.cons_S112077679ession @t233)) % 0.47/1.00 (define @t235 () (_ @t234 @t232)) % 0.47/1.00 (define @t236 () (_ @t231 @t235)) % 0.47/1.00 (define @t237 () (=> (_ (_ @t231 @t232) @t168) (_ @t236 @t171))) % 0.47/1.00 (define @t238 () (_ @t231 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t239 () (@list @t233 @t232)) % 0.47/1.00 (define @t240 () (_ @t238 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t241 () (@var "P" (-> tptp.list_S529945141ession tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t242 () (_ @t241 @t235)) % 0.47/1.00 (define @t243 () (_ @t242 @t225)) % 0.47/1.00 (define @t244 () (_ @t241 @t232)) % 0.47/1.00 (define @t245 () (=> (_ @t244 @t222) @t243)) % 0.47/1.00 (define @t246 () (@list @t233 @t232 @t223 @t222)) % 0.47/1.00 (define @t247 () (_ @t241 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t248 () (_ @t247 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t249 () (@var "A1" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t250 () (@var "A0" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t251 () (_ (_ @t207 @t250) @t249)) % 0.47/1.00 (define @t252 () (_ @t212 @t168)) % 0.47/1.00 (define @t253 () (@var "X_1" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t254 () (forall (@list @t253) (_ @t217 @t253))) % 0.47/1.00 (define @t255 () (@list @t207 @t250 @t249)) % 0.47/1.00 (define @t256 () (@var "A1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t257 () (@var "A0" tptp.list_S529945141ession)) % 0.47/1.00 (define @t258 () (_ (_ @t241 @t257) @t256)) % 0.47/1.00 (define @t259 () (_ @t242 @t222)) % 0.47/1.00 (define @t260 () (@var "X_1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t261 () (forall (@list @t260) (_ @t247 @t260))) % 0.47/1.00 (define @t262 () (@list @t241 @t257 @t256)) % 0.47/1.00 (define @t263 () (_ @t128 @t155)) % 0.47/1.00 (define @t264 () (@var "Zs" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t265 () (_ @t170 @t264)) % 0.47/1.00 (define @t266 () (_ @t210 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t267 () (@list @t209)) % 0.47/1.00 (define @t268 () (forall @t267 (_ @t128 @t266))) % 0.47/1.00 (define @t269 () (@list @t128 @t155)) % 0.47/1.00 (define @t270 () (_ @t132 @t162)) % 0.47/1.00 (define @t271 () (@var "Zs" tptp.list_S529945141ession)) % 0.47/1.00 (define @t272 () (_ @t224 @t271)) % 0.47/1.00 (define @t273 () (_ @t234 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t274 () (@list @t233)) % 0.47/1.00 (define @t275 () (forall @t274 (_ @t132 @t273))) % 0.47/1.00 (define @t276 () (@list @t132 @t162)) % 0.47/1.00 (define @t277 () (@var "Y23" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t278 () (@var "X23" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t279 () (= @t278 @t277)) % 0.47/1.00 (define @t280 () (_ tptp.secrecy_sKS @t278)) % 0.47/1.00 (define @t281 () (@list @t278 @t277)) % 0.47/1.00 (define @t282 () (@list @t6 @t278)) % 0.47/1.00 (define @t283 () (@var "KS" tptp.secrecy_KS)) % 0.47/1.00 (define @t284 () (@var "P" (-> tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t285 () (@var "X" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t286 () (@var "X2" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t287 () (@var "Y" tptp.secrecy_KS)) % 0.47/1.00 (define @t288 () (@list @t287)) % 0.47/1.00 (define @t289 () (@var "X3" tptp.secrecy_Expression)) % 0.47/1.00 (define @t290 () (_ tptp.cons_S112077679ession @t289)) % 0.47/1.00 (define @t291 () (_ @t290 @t162)) % 0.47/1.00 (define @t292 () (@list @t289 @t162)) % 0.47/1.00 (define @t293 () (@var "A2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t294 () (@var "A0" (-> tptp.secrecy_KS tptp.secrecy_Expression))) % 0.47/1.00 (define @t295 () (@var "P" (-> (-> tptp.secrecy_KS tptp.secrecy_Expression) tptp.list_Secrecy_KS tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t296 () (@var "Bs" tptp.list_S529945141ession)) % 0.47/1.00 (define @t297 () (@var "As" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t298 () (@var "A3" tptp.secrecy_KS)) % 0.47/1.00 (define @t299 () (_ (_ tptp.cons_Secrecy_KS @t298) @t297)) % 0.47/1.00 (define @t300 () (@var "F" (-> tptp.secrecy_KS tptp.secrecy_Expression))) % 0.47/1.00 (define @t301 () (_ @t295 @t300)) % 0.47/1.00 (define @t302 () (@var "A0" (-> tptp.secrecy_Expression tptp.secrecy_Expression))) % 0.47/1.00 (define @t303 () (@var "P" (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression) tptp.list_S529945141ession tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t304 () (@var "As" tptp.list_S529945141ession)) % 0.47/1.00 (define @t305 () (@var "A3" tptp.secrecy_Expression)) % 0.47/1.00 (define @t306 () (_ (_ tptp.cons_S112077679ession @t305) @t304)) % 0.47/1.00 (define @t307 () (@var "F" (-> tptp.secrecy_Expression tptp.secrecy_Expression))) % 0.47/1.00 (define @t308 () (_ @t303 @t307)) % 0.47/1.00 (define @t309 () (_ @t128 @t211)) % 0.47/1.00 (define @t310 () (_ @t128 @t208)) % 0.47/1.00 (define @t311 () (not (= @t208 tptp.nil_Secrecy_KS))) % 0.47/1.00 (define @t312 () (@list @t155 @t128)) % 0.47/1.00 (define @t313 () (_ @t132 @t235)) % 0.47/1.00 (define @t314 () (_ @t132 @t232)) % 0.47/1.00 (define @t315 () (not (= @t232 tptp.nil_Se901661471ession))) % 0.47/1.00 (define @t316 () (@list @t162 @t132)) % 0.47/1.00 (define @t317 () (@var "A0" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t318 () (@var "P" (-> (-> tptp.secrecy_KS tptp.secrecy_KS Bool) tptp.list_Secrecy_KS Bool))) % 0.47/1.00 (define @t319 () (_ (_ @t318 @t317) @t249)) % 0.47/1.00 (define @t320 () (_ @t170 @t208)) % 0.47/1.00 (define @t321 () (_ @t210 @t320)) % 0.47/1.00 (define @t322 () (@var "P2" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t323 () (_ @t318 @t322)) % 0.47/1.00 (define @t324 () (forall (@list @t322) (_ @t323 tptp.nil_Secrecy_KS))) % 0.47/1.00 (define @t325 () (@list @t318 @t317 @t249)) % 0.47/1.00 (define @t326 () (@var "A0" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t327 () (@var "P" (-> (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool) tptp.list_S529945141ession Bool))) % 0.47/1.00 (define @t328 () (_ (_ @t327 @t326) @t256)) % 0.47/1.00 (define @t329 () (_ @t224 @t232)) % 0.47/1.00 (define @t330 () (_ @t234 @t329)) % 0.47/1.00 (define @t331 () (@var "P2" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t332 () (_ @t327 @t331)) % 0.47/1.00 (define @t333 () (forall (@list @t331) (_ @t332 tptp.nil_Se901661471ession))) % 0.47/1.00 (define @t334 () (@list @t327 @t326 @t256)) % 0.47/1.00 (define @t335 () (= @t209 @t169)) % 0.47/1.00 (define @t336 () (@list @t209 @t169 @t208)) % 0.47/1.00 (define @t337 () (= @t233 @t223)) % 0.47/1.00 (define @t338 () (@list @t233 @t223 @t232)) % 0.47/1.00 (define @t339 () (@var "X3" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t340 () (= @t339 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t341 () (@var "X3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t342 () (= @t341 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t343 () (@var "Xss" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t344 () (@var "X3" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t345 () (_ tptp.cons_list_Secrecy_KS tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t346 () (@var "Xss" tptp.list_l425507653ession)) % 0.47/1.00 (define @t347 () (@var "X3" tptp.list_l425507653ession)) % 0.47/1.00 (define @t348 () (_ tptp.cons_l533358079ession tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t349 () (@var "A4" tptp.secrecy_Keys)) % 0.47/1.00 (define @t350 () (@var "P" (-> tptp.secrecy_Keys Bool))) % 0.47/1.00 (define @t351 () (@var "A4" tptp.secrecy_KS)) % 0.47/1.00 (define @t352 () (@var "A4" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t353 () (@var "P" (-> tptp.secrecy_Secrets Bool))) % 0.47/1.00 (define @t354 () (@var "A" tptp.set_Secrecy_Keys)) % 0.47/1.00 (define @t355 () (@var "X4" tptp.secrecy_Keys)) % 0.47/1.00 (define @t356 () (@list @t355)) % 0.47/1.00 (define @t357 () (@var "A" tptp.set_Secrecy_KS)) % 0.47/1.00 (define @t358 () (@var "X4" tptp.secrecy_KS)) % 0.47/1.00 (define @t359 () (@list @t358)) % 0.47/1.00 (define @t360 () (@var "A" tptp.set_Secrecy_Secrets)) % 0.47/1.00 (define @t361 () (@var "X4" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t362 () (@list @t208)) % 0.47/1.00 (define @t363 () (@list @t232)) % 0.47/1.00 (define @t364 () (@var "M" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t365 () (_ tptp.secrecy_sKS @t364)) % 0.47/1.00 (define @t366 () (_ tptp.secrecy_sE @t364)) % 0.47/1.00 (define @t367 () (@var "X3" tptp.secrecy_KS)) % 0.47/1.00 (define @t368 () (_ tptp.cons_Secrecy_KS @t367)) % 0.47/1.00 (define @t369 () (_ @t368 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t370 () (@list @t367)) % 0.47/1.00 (define @t371 () (_ @t290 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t372 () (@list @t289)) % 0.47/1.00 (define @t373 () (@var "P" (-> tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t374 () (@var "E" tptp.secrecy_Expression)) % 0.47/1.00 (define @t375 () (_ tptp.specSecrets @t32)) % 0.47/1.00 (define @t376 () (@var "S2" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t377 () (@var "K4" tptp.secrecy_Keys)) % 0.47/1.00 (define @t378 () (@var "Xb" tptp.list_S529945141ession)) % 0.47/1.00 (define @t379 () (@var "X3" (-> tptp.secrecy_KS tptp.secrecy_Expression))) % 0.47/1.00 (define @t380 () (_ tptp.map_ta623472337ession @t379)) % 0.47/1.00 (define @t381 () (@var "Xa" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t382 () (not (= @t115 @t378))) % 0.47/1.00 (define @t383 () (@var "X3" (-> tptp.secrecy_Expression tptp.secrecy_Expression))) % 0.47/1.00 (define @t384 () (_ tptp.map_ta1624757057ession @t383)) % 0.47/1.00 (define @t385 () (@var "Xa" tptp.list_S529945141ession)) % 0.47/1.00 (define @t386 () (@var "A4" tptp.secrecy_Expression)) % 0.47/1.00 (define @t387 () (_ tptp.cons_S112077679ession @t386)) % 0.47/1.00 (define @t388 () (@var "P" tptp.secrecy_specID)) % 0.47/1.00 (define @t389 () (_ tptp.notSpe1586871396tsExpr @t388)) % 0.47/1.00 (define @t390 () (@var "L" tptp.list_S529945141ession)) % 0.47/1.00 (define @t391 () (_ @t389 (_ @t387 @t390))) % 0.47/1.00 (define @t392 () (@list @t388 @t386 @t390)) % 0.47/1.00 (define @t393 () (_ tptp.secrecy_sE @t278)) % 0.47/1.00 (define @t394 () (@var "Bs2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t395 () (@var "F2" (-> tptp.secrecy_Expression tptp.secrecy_Expression))) % 0.47/1.00 (define @t396 () (@var "As2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t397 () (_ tptp.map_ta1624757057ession @t395)) % 0.47/1.00 (define @t398 () (or (_ (_ tptp.member2138796287ecrets @t364) @t375) (_ @t33 @t365))) % 0.47/1.00 (define @t399 () (_ @t44 @t366)) % 0.47/1.00 (define @t400 () (_ @t46 @t365)) % 0.47/1.00 (define @t401 () (@list @t32 @t364)) % 0.47/1.00 (define @t402 () (_ @t348 tptp.nil_li311616943ession)) % 0.47/1.00 (define @t403 () (_ @t345 tptp.nil_list_Secrecy_KS)) % 0.47/1.00 (define @t404 () (@var "E3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t405 () (@var "K12" tptp.secrecy_Keys)) % 0.47/1.00 (define @t406 () (@var "K22" tptp.secrecy_Keys)) % 0.47/1.00 (define @t407 () (_ (_ tptp.encrDecrKeys @t405) @t406)) % 0.47/1.00 (define @t408 () (@list @t405 @t406 @t404)) % 0.47/1.00 (define @t409 () (_ @t368 @t155)) % 0.47/1.00 (define @t410 () (@var "Less" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t411 () (_ tptp.lexord948960489ecy_KS @t410)) % 0.47/1.00 (define @t412 () (@var "Less" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t413 () (_ tptp.lexord1123423577ession @t412)) % 0.47/1.00 (define @t414 () (_ @t413 @t291)) % 0.47/1.00 (define @t415 () (@var "F2" (-> tptp.secrecy_Expression tptp.list_S529945141ession))) % 0.47/1.00 (define @t416 () (@list @t415)) % 0.47/1.00 (define @t417 () (@var "F2" (-> tptp.secrecy_Expression tptp.list_Secrecy_KS))) % 0.47/1.00 (define @t418 () (@list @t417)) % 0.47/1.00 (define @t419 () (@var "F2" (-> tptp.secrecy_KS tptp.list_S529945141ession))) % 0.47/1.00 (define @t420 () (@list @t419)) % 0.47/1.00 (define @t421 () (@var "F2" (-> tptp.secrecy_KS tptp.list_Secrecy_KS))) % 0.47/1.00 (define @t422 () (@list @t421)) % 0.47/1.00 (define @t423 () (_ @t413 @t162)) % 0.47/1.00 (define @t424 () (_ @t423 @t220)) % 0.47/1.00 (define @t425 () (@var "Y" tptp.secrecy_Expression)) % 0.47/1.00 (define @t426 () (not (_ (_ @t412 @t425) @t289))) % 0.47/1.00 (define @t427 () (_ (_ @t412 @t289) @t425)) % 0.47/1.00 (define @t428 () (_ tptp.cons_S112077679ession @t425)) % 0.47/1.00 (define @t429 () (_ @t428 @t220)) % 0.47/1.00 (define @t430 () (_ @t414 @t429)) % 0.47/1.00 (define @t431 () (@list @t412 @t289 @t425 @t162 @t220)) % 0.47/1.00 (define @t432 () (@var "X23" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t433 () (@var "X1" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t434 () (_ (_ @t207 @t433) @t432)) % 0.47/1.00 (define @t435 () (_ (_ @t411 @t208) @t168)) % 0.47/1.00 (define @t436 () (not (_ (_ @t410 @t169) @t209))) % 0.47/1.00 (define @t437 () (_ (_ @t410 @t209) @t169)) % 0.47/1.00 (define @t438 () (not @t437)) % 0.47/1.00 (define @t439 () (@list @t209 @t169 @t208 @t168)) % 0.47/1.00 (define @t440 () (@var "X23" tptp.list_S529945141ession)) % 0.47/1.00 (define @t441 () (@var "X1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t442 () (_ (_ @t241 @t441) @t440)) % 0.47/1.00 (define @t443 () (_ (_ @t413 @t232) @t222)) % 0.47/1.00 (define @t444 () (not (_ (_ @t412 @t223) @t233))) % 0.47/1.00 (define @t445 () (_ (_ @t412 @t233) @t223)) % 0.47/1.00 (define @t446 () (not @t445)) % 0.47/1.00 (define @t447 () (@list @t233 @t223 @t232 @t222)) % 0.47/1.00 (define @t448 () (@var "Xs3" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t449 () (@var "Less2" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t450 () (_ (_ @t449 @t358) @t153)) % 0.47/1.00 (define @t451 () (@var "A22" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t452 () (= @t451 @t154)) % 0.47/1.00 (define @t453 () (_ tptp.cons_Secrecy_KS @t358)) % 0.47/1.00 (define @t454 () (@var "A12" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t455 () (= @t454 (_ @t453 @t448))) % 0.47/1.00 (define @t456 () (@list @t358 @t153 @t448 @t152)) % 0.47/1.00 (define @t457 () (= @t454 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t458 () (@var "Xs3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t459 () (@var "Less2" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t460 () (@var "X4" tptp.secrecy_Expression)) % 0.47/1.00 (define @t461 () (_ (_ @t459 @t460) @t160)) % 0.47/1.00 (define @t462 () (@var "A22" tptp.list_S529945141ession)) % 0.47/1.00 (define @t463 () (= @t462 @t161)) % 0.47/1.00 (define @t464 () (_ tptp.cons_S112077679ession @t460)) % 0.47/1.00 (define @t465 () (@var "A12" tptp.list_S529945141ession)) % 0.47/1.00 (define @t466 () (= @t465 (_ @t464 @t458))) % 0.47/1.00 (define @t467 () (@list @t460 @t160 @t458 @t159)) % 0.47/1.00 (define @t468 () (= @t465 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t469 () (@var "A2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t470 () (= @t469 @t171)) % 0.47/1.00 (define @t471 () (@list @t168)) % 0.47/1.00 (define @t472 () (= @t249 @t211)) % 0.47/1.00 (define @t473 () (= @t249 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t474 () (= @t293 @t225)) % 0.47/1.00 (define @t475 () (@list @t222)) % 0.47/1.00 (define @t476 () (= @t256 @t235)) % 0.47/1.00 (define @t477 () (= @t256 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t478 () (_ tptp.mem_Se1967555118ession @t289)) % 0.47/1.00 (define @t479 () (= @t289 @t425)) % 0.47/1.00 (define @t480 () (@var "R" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t481 () (_ tptp.listre788412843ecy_KS @t480)) % 0.47/1.00 (define @t482 () (_ (_ @t481 @t208) @t168)) % 0.47/1.00 (define @t483 () (_ (_ @t480 @t209) @t169)) % 0.47/1.00 (define @t484 () (@var "R" (-> tptp.secrecy_KS tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t485 () (_ tptp.listre1601064475ession @t484)) % 0.47/1.00 (define @t486 () (_ (_ @t485 @t208) @t222)) % 0.47/1.00 (define @t487 () (_ (_ @t484 @t209) @t223)) % 0.47/1.00 (define @t488 () (@var "R" (-> tptp.secrecy_Expression tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t489 () (_ tptp.listre565996059ecy_KS @t488)) % 0.47/1.00 (define @t490 () (_ (_ @t489 @t232) @t168)) % 0.47/1.00 (define @t491 () (_ (_ @t488 @t233) @t169)) % 0.47/1.00 (define @t492 () (@var "R" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t493 () (_ tptp.listre84909707ession @t492)) % 0.47/1.00 (define @t494 () (_ (_ @t493 @t232) @t222)) % 0.47/1.00 (define @t495 () (_ (_ @t492 @t233) @t223)) % 0.47/1.00 (define @t496 () (@var "R2" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t497 () (= @t451 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t498 () (@var "R2" (-> tptp.secrecy_KS tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t499 () (= @t462 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t500 () (@var "R2" (-> tptp.secrecy_Expression tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t501 () (@var "R2" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t502 () (not (= @t469 tptp.nil_Secrecy_KS))) % 0.47/1.00 (define @t503 () (not (= @t293 tptp.nil_Se901661471ession))) % 0.47/1.00 (define @t504 () (@var "L2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t505 () (@var "L1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t506 () (@var "C3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t507 () (@var "B" tptp.list_S529945141ession)) % 0.47/1.00 (define @t508 () (@var "A4" tptp.list_S529945141ession)) % 0.47/1.00 (define @t509 () (_ tptp.append2089414218ession @t508)) % 0.47/1.00 (define @t510 () (@var "Zs2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t511 () (_ tptp.append2089414218ession @t220)) % 0.47/1.00 (define @t512 () (_ @t511 @t510)) % 0.47/1.00 (define @t513 () (_ tptp.append2089414218ession @t162)) % 0.47/1.00 (define @t514 () (_ @t513 @t220)) % 0.47/1.00 (define @t515 () (@list @t162 @t220 @t510)) % 0.47/1.00 (define @t516 () (= @t220 @t510)) % 0.47/1.00 (define @t517 () (_ tptp.append2089414218ession @t510)) % 0.47/1.00 (define @t518 () (@list @t508)) % 0.47/1.00 (define @t519 () (@var "A4" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t520 () (@list @t519)) % 0.47/1.00 (define @t521 () (= @t220 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t522 () (and @t163 @t521)) % 0.47/1.00 (define @t523 () (@list @t162 @t220)) % 0.47/1.00 (define @t524 () (= @t166 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t525 () (and @t156 @t524)) % 0.47/1.00 (define @t526 () (_ tptp.append_Secrecy_KS @t155)) % 0.47/1.00 (define @t527 () (_ @t526 @t166)) % 0.47/1.00 (define @t528 () (@list @t155 @t166)) % 0.47/1.00 (define @t529 () (@list @t220 @t162)) % 0.47/1.00 (define @t530 () (@list @t166 @t155)) % 0.47/1.00 (define @t531 () (_ tptp.splice1390717708ession @t162)) % 0.47/1.00 (define @t532 () (_ tptp.splice_Secrecy_KS @t155)) % 0.47/1.00 (define @t533 () (= @t155 @t166)) % 0.47/1.00 (define @t534 () (_ tptp.cons_Secrecy_KS @t287)) % 0.47/1.00 (define @t535 () (_ @t534 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t536 () (_ tptp.append_Secrecy_KS @t166)) % 0.47/1.00 (define @t537 () (_ @t526 @t369)) % 0.47/1.00 (define @t538 () (= @t162 @t220)) % 0.47/1.00 (define @t539 () (_ @t428 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t540 () (_ @t513 @t371)) % 0.47/1.00 (define @t541 () (_ tptp.append2089414218ession (_ @t415 @t289))) % 0.47/1.00 (define @t542 () (@var "Us" tptp.list_S529945141ession)) % 0.47/1.00 (define @t543 () (@var "Xs1" tptp.list_S529945141ession)) % 0.47/1.00 (define @t544 () (_ tptp.append2089414218ession @t543)) % 0.47/1.00 (define @t545 () (@var "Ts" tptp.list_S529945141ession)) % 0.47/1.00 (define @t546 () (@var "Us2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t547 () (_ tptp.append2089414218ession @t546)) % 0.47/1.00 (define @t548 () (_ tptp.append2089414218ession tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t549 () (_ @t548 @t220)) % 0.47/1.00 (define @t550 () (_ tptp.append_Secrecy_KS tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t551 () (_ @t550 @t166)) % 0.47/1.00 (define @t552 () (@list @t220)) % 0.47/1.00 (define @t553 () (@list @t166)) % 0.47/1.00 (define @t554 () (= @t291 @t512)) % 0.47/1.00 (define @t555 () (@list @t289 @t162 @t220)) % 0.47/1.00 (define @t556 () (@var "V" tptp.list_S529945141ession)) % 0.47/1.00 (define @t557 () (@var "U" tptp.list_S529945141ession)) % 0.47/1.00 (define @t558 () (_ tptp.append2089414218ession @t20)) % 0.47/1.00 (define @t559 () (@var "E22" tptp.list_S529945141ession)) % 0.47/1.00 (define @t560 () (=> @t310 (_ @t128 (_ (_ tptp.append_Secrecy_KS @t208) @t266)))) % 0.47/1.00 (define @t561 () (_ tptp.append2089414218ession @t232)) % 0.47/1.00 (define @t562 () (=> @t314 (_ @t132 (_ @t561 @t273)))) % 0.47/1.00 (define @t563 () (@var "Zs2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t564 () (@var "Ys4" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t565 () (_ (_ tptp.append_Secrecy_KS @t564) @t563)) % 0.47/1.00 (define @t566 () (_ @t368 @t564)) % 0.47/1.00 (define @t567 () (@list @t564)) % 0.47/1.00 (define @t568 () (_ @t536 @t563)) % 0.47/1.00 (define @t569 () (@var "Ys4" tptp.list_S529945141ession)) % 0.47/1.00 (define @t570 () (_ (_ tptp.append2089414218ession @t569) @t510)) % 0.47/1.00 (define @t571 () (_ @t290 @t569)) % 0.47/1.00 (define @t572 () (@list @t569)) % 0.47/1.00 (define @t573 () (_ tptp.maps_S599402637ession @t415)) % 0.47/1.00 (define @t574 () (@var "Xss22" tptp.list_l425507653ession)) % 0.47/1.00 (define @t575 () (@var "Xs4" tptp.list_S529945141ession)) % 0.47/1.00 (define @t576 () (@var "Xss1" tptp.list_l425507653ession)) % 0.47/1.00 (define @t577 () (@var "Xss2" tptp.list_l425507653ession)) % 0.47/1.00 (define @t578 () (= @t577 tptp.nil_li311616943ession)) % 0.47/1.00 (define @t579 () (not @t578)) % 0.47/1.00 (define @t580 () (= (_ tptp.concat388015140ession @t577) @t512)) % 0.47/1.00 (define @t581 () (@list @t577 @t220 @t510)) % 0.47/1.00 (define @t582 () (@var "Xss22" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t583 () (@var "Xs4" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t584 () (@var "Xss1" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t585 () (@var "Xss2" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t586 () (= @t585 tptp.nil_list_Secrecy_KS)) % 0.47/1.00 (define @t587 () (@list @t367 @t155)) % 0.47/1.00 (define @t588 () (@list @t155 @t367)) % 0.47/1.00 (define @t589 () (@list @t162 @t289)) % 0.47/1.00 (define @t590 () (_ tptp.rotate1237234450ession @t162)) % 0.47/1.00 (define @t591 () (_ tptp.rotate1_Secrecy_KS @t155)) % 0.47/1.00 (define @t592 () (_ tptp.concat388015140ession @t138)) % 0.47/1.00 (define @t593 () (_ tptp.butlast_Secrecy_KS @t155)) % 0.47/1.00 (define @t594 () (_ tptp.butlast_Secrecy_KS @t409)) % 0.47/1.00 (define @t595 () (_ tptp.butlas171474643ession @t162)) % 0.47/1.00 (define @t596 () (_ tptp.butlas171474643ession @t291)) % 0.47/1.00 (define @t597 () (_ tptp.butlas171474643ession @t220)) % 0.47/1.00 (define @t598 () (_ tptp.butlas171474643ession @t514)) % 0.47/1.00 (define @t599 () (not @t521)) % 0.47/1.00 (define @t600 () (_ tptp.butlast_Secrecy_KS @t166)) % 0.47/1.00 (define @t601 () (_ tptp.butlast_Secrecy_KS @t527)) % 0.47/1.00 (define @t602 () (not @t524)) % 0.47/1.00 (define @t603 () (@var "Xss23" tptp.list_l425507653ession)) % 0.47/1.00 (define @t604 () (@var "Xs5" tptp.list_S529945141ession)) % 0.47/1.00 (define @t605 () (_ tptp.append2089414218ession @t604)) % 0.47/1.00 (define @t606 () (@var "Xss12" tptp.list_l425507653ession)) % 0.47/1.00 (define @t607 () (_ tptp.last_Secrecy_KS @t155)) % 0.47/1.00 (define @t608 () (_ tptp.last_S1532390982ession @t162)) % 0.47/1.00 (define @t609 () (_ tptp.last_Secrecy_KS @t166)) % 0.47/1.00 (define @t610 () (_ tptp.last_S1532390982ession @t220)) % 0.47/1.00 (define @t611 () (_ tptp.last_S1532390982ession @t514)) % 0.47/1.00 (define @t612 () (=> @t599 (= @t611 @t610))) % 0.47/1.00 (define @t613 () (_ tptp.last_Secrecy_KS @t527)) % 0.47/1.00 (define @t614 () (=> @t602 (= @t613 @t609))) % 0.47/1.00 (define @t615 () (=> @t521 (= @t611 @t608))) % 0.47/1.00 (define @t616 () (=> @t524 (= @t613 @t607))) % 0.47/1.00 (define @t617 () (_ tptp.last_Secrecy_KS @t409)) % 0.47/1.00 (define @t618 () (=> @t157 (= @t617 @t607))) % 0.47/1.00 (define @t619 () (_ tptp.last_S1532390982ession @t291)) % 0.47/1.00 (define @t620 () (=> @t164 (= @t619 @t608))) % 0.47/1.00 (define @t621 () (=> @t156 (= @t617 @t367))) % 0.47/1.00 (define @t622 () (=> @t163 (= @t619 @t289))) % 0.47/1.00 (define @t623 () (@var "Ys5" tptp.list_S529945141ession)) % 0.47/1.00 (define @t624 () (= @t623 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t625 () (= @t604 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t626 () (@var "Ss" tptp.list_S529945141ession)) % 0.47/1.00 (define @t627 () (@var "Ys5" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t628 () (@var "Xs5" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t629 () (= @t627 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t630 () (= @t628 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t631 () (@var "Ss" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t632 () (@var "Kl" tptp.set_li849033543y_Keys)) % 0.47/1.00 (define @t633 () (@var "Kl2" tptp.list_Secrecy_Keys)) % 0.47/1.00 (define @t634 () (_ (_ tptp.member341114536y_Keys (_ (_ tptp.append_Secrecy_Keys @t633) (_ (_ tptp.cons_Secrecy_Keys @t21) tptp.nil_Secrecy_Keys))) @t632)) % 0.47/1.00 (define @t635 () (_ tptp.bNF_Gr344893606y_Keys @t632)) % 0.47/1.00 (define @t636 () (_ tptp.member_Secrecy_Keys @t21)) % 0.47/1.00 (define @t637 () (_ @t636 (_ @t635 @t633))) % 0.47/1.00 (define @t638 () (@var "Kl" tptp.set_li2007071804ecrets)) % 0.47/1.00 (define @t639 () (@var "K" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t640 () (@var "Kl2" tptp.list_Secrecy_Secrets)) % 0.47/1.00 (define @t641 () (_ (_ tptp.member1138497285ecrets (_ (_ tptp.append186372209ecrets @t640) (_ (_ tptp.cons_Secrecy_Secrets @t639) tptp.nil_Secrecy_Secrets))) @t638)) % 0.47/1.00 (define @t642 () (_ tptp.bNF_Gr957048817ecrets @t638)) % 0.47/1.00 (define @t643 () (_ tptp.member2138796287ecrets @t639)) % 0.47/1.00 (define @t644 () (_ @t643 (_ @t642 @t640))) % 0.47/1.00 (define @t645 () (@var "Kl" tptp.set_list_Secrecy_KS)) % 0.47/1.00 (define @t646 () (@var "K" tptp.secrecy_KS)) % 0.47/1.00 (define @t647 () (@var "Kl2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t648 () (_ (_ tptp.member193705948ecy_KS (_ (_ tptp.append_Secrecy_KS @t647) (_ (_ tptp.cons_Secrecy_KS @t646) tptp.nil_Secrecy_KS))) @t645)) % 0.47/1.00 (define @t649 () (_ tptp.bNF_Gr577175642ecy_KS @t645)) % 0.47/1.00 (define @t650 () (_ tptp.member_Secrecy_KS2 @t646)) % 0.47/1.00 (define @t651 () (_ @t650 (_ @t649 @t647))) % 0.47/1.00 (define @t652 () (@var "Kl" tptp.set_li185139947ession)) % 0.47/1.00 (define @t653 () (@var "K" tptp.secrecy_Expression)) % 0.47/1.00 (define @t654 () (_ tptp.cons_S112077679ession @t653)) % 0.47/1.00 (define @t655 () (@var "Kl2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t656 () (_ (_ tptp.member249235532ession (_ (_ tptp.append2089414218ession @t655) (_ @t654 tptp.nil_Se901661471ession))) @t652)) % 0.47/1.00 (define @t657 () (_ tptp.bNF_Gr979629770ession @t652)) % 0.47/1.00 (define @t658 () (_ tptp.member279582780ession @t653)) % 0.47/1.00 (define @t659 () (_ @t658 (_ @t657 @t655))) % 0.47/1.00 (define @t660 () (_ tptp.member341114536y_Keys tptp.nil_Secrecy_Keys)) % 0.47/1.00 (define @t661 () (_ tptp.member1138497285ecrets tptp.nil_Secrecy_Secrets)) % 0.47/1.00 (define @t662 () (_ (_ tptp.bNF_Gr275623750ession @t652) @t653)) % 0.47/1.00 (define @t663 () (_ tptp.member249235532ession tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t664 () (_ tptp.member193705948ecy_KS tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t665 () (_ @t654 @t655)) % 0.47/1.00 (define @t666 () (_ tptp.rev_Secrecy_KS @t155)) % 0.47/1.00 (define @t667 () (_ tptp.append2089414218ession (_ tptp.rev_Se1073238207ession @t220))) % 0.47/1.00 (define @t668 () (_ tptp.rev_Se1073238207ession @t162)) % 0.47/1.00 (define @t669 () (= @t155 @t369)) % 0.47/1.00 (define @t670 () (= @t162 @t371)) % 0.47/1.00 (define @t671 () (_ tptp.hd_Sec357328890ession @t162)) % 0.47/1.00 (define @t672 () (_ tptp.hd_Sec357328890ession @t514)) % 0.47/1.00 (define @t673 () (=> @t164 (= @t672 @t671))) % 0.47/1.00 (define @t674 () (_ tptp.hd_Secrecy_KS @t155)) % 0.47/1.00 (define @t675 () (_ tptp.hd_Secrecy_KS @t527)) % 0.47/1.00 (define @t676 () (=> @t157 (= @t675 @t674))) % 0.47/1.00 (define @t677 () (_ tptp.hd_lis1623417098ession @t138)) % 0.47/1.00 (define @t678 () (_ tptp.hd_list_Secrecy_KS @t143)) % 0.47/1.00 (define @t679 () (@var "Ps" tptp.list_S529945141ession)) % 0.47/1.00 (define @t680 () (_ tptp.append2089414218ession @t679)) % 0.47/1.00 (define @t681 () (@var "Ps" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t682 () (_ tptp.append_Secrecy_KS @t681)) % 0.47/1.00 (define @t683 () (_ tptp.hd_Sec357328890ession @t220)) % 0.47/1.00 (define @t684 () (_ tptp.hd_Secrecy_KS @t166)) % 0.47/1.00 (define @t685 () (_ tptp.cons_Secrecy_KS @t674)) % 0.47/1.00 (define @t686 () (_ tptp.tl_Secrecy_KS @t155)) % 0.47/1.00 (define @t687 () (_ tptp.append_Secrecy_KS @t686)) % 0.47/1.00 (define @t688 () (_ tptp.cons_S112077679ession @t671)) % 0.47/1.00 (define @t689 () (_ tptp.tl_Sec1905266422ession @t162)) % 0.47/1.00 (define @t690 () (_ tptp.append2089414218ession @t689)) % 0.47/1.00 (define @t691 () (_ tptp.distin1076152135ession @t220)) % 0.47/1.00 (define @t692 () (_ tptp.distin1076152135ession @t162)) % 0.47/1.00 (define @t693 () (_ tptp.distin1076152135ession @t514)) % 0.47/1.00 (define @t694 () (_ tptp.distin1495927511ecy_KS @t155)) % 0.47/1.00 (define @t695 () (_ @t428 @t162)) % 0.47/1.00 (define @t696 () (_ tptp.tl_Secrecy_KS @t92)) % 0.47/1.00 (define @t697 () (_ tptp.hd_Secrecy_KS @t92)) % 0.47/1.00 (define @t698 () (_ (_ tptp.cons_Secrecy_KS @t697) @t696)) % 0.47/1.00 (define @t699 () (@list @t92)) % 0.47/1.00 (define @t700 () (_ tptp.tl_Sec1905266422ession @t95)) % 0.47/1.00 (define @t701 () (_ tptp.hd_Sec357328890ession @t95)) % 0.47/1.00 (define @t702 () (_ (_ tptp.cons_S112077679ession @t701) @t700)) % 0.47/1.00 (define @t703 () (@list @t95)) % 0.47/1.00 (define @t704 () (@var "List2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t705 () (= @t704 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t706 () (@var "List2" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t707 () (= @t706 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t708 () (or @t156 (exists @t359 (= @t155 (_ @t453 tptp.nil_Secrecy_KS))))) % 0.47/1.00 (define @t709 () (= @t686 tptp.nil_Secrecy_KS)) % 0.47/1.00 (define @t710 () (or @t163 (exists (@list @t460) (= @t162 (_ @t464 tptp.nil_Se901661471ession))))) % 0.47/1.00 (define @t711 () (= @t689 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t712 () (_ tptp.distin1076152135ession @t291)) % 0.47/1.00 (define @t713 () (@var "P" (-> tptp.secrecy_Expression tptp.secrecy_Expression Bool))) % 0.47/1.00 (define @t714 () (_ tptp.succes1388047762ession @t713)) % 0.47/1.00 (define @t715 () (@var "P" (-> tptp.secrecy_KS tptp.secrecy_KS Bool))) % 0.47/1.00 (define @t716 () (_ tptp.succes590251810ecy_KS @t715)) % 0.47/1.00 (define @t717 () (_ tptp.shuffles_Secrecy_KS @t155)) % 0.47/1.00 (define @t718 () (_ tptp.member193705948ecy_KS @t563)) % 0.47/1.00 (define @t719 () (@var "Z" tptp.secrecy_KS)) % 0.47/1.00 (define @t720 () (_ @t717 @t166)) % 0.47/1.00 (define @t721 () (_ tptp.shuffl552897610ession @t162)) % 0.47/1.00 (define @t722 () (_ tptp.member249235532ession @t510)) % 0.47/1.00 (define @t723 () (@var "Z" tptp.secrecy_Expression)) % 0.47/1.00 (define @t724 () (_ @t721 @t220)) % 0.47/1.00 (define @t725 () (@var "Zs3" tptp.list_Secrecy_KS)) % 0.47/1.00 (define @t726 () (_ tptp.member193705948ecy_KS @t725)) % 0.47/1.00 (define @t727 () (@var "Z2" tptp.secrecy_KS)) % 0.47/1.00 (define @t728 () (= @t563 (_ (_ tptp.cons_Secrecy_KS @t727) @t725))) % 0.47/1.00 (define @t729 () (@list @t727 @t725)) % 0.47/1.00 (define @t730 () (@var "Zs3" tptp.list_S529945141ession)) % 0.47/1.00 (define @t731 () (_ tptp.member249235532ession @t730)) % 0.47/1.00 (define @t732 () (@var "Z2" tptp.secrecy_Expression)) % 0.47/1.00 (define @t733 () (= @t510 (_ (_ tptp.cons_S112077679ession @t732) @t730))) % 0.47/1.00 (define @t734 () (@list @t732 @t730)) % 0.47/1.00 (define @t735 () (_ tptp.secrecy_kKS tptp.m)) % 0.47/1.00 (define @t736 () (_ tptp.knowle945212990e_know tptp.a)) % 0.47/1.00 (define @t737 () (_ @t736 @t735)) % 0.47/1.00 (define @t738 () (not @t737)) % 0.47/1.00 (define @t739 () (@var "E2" tptp.secrecy_Expression)) % 0.47/1.00 (define @t740 () (@var "C2" tptp.secrecy_specID)) % 0.47/1.00 (define @t741 () (@var "S" tptp.secrecy_Secrets)) % 0.47/1.00 (define @t742 () (@var "K3" tptp.secrecy_Keys)) % 0.47/1.00 (define @t743 () (lambda (@list @t740 @t739) (= (_ (_ tptp.eout @t740) @t739) (or (exists (@list @t742) (and (= @t739 (_ tptp.secrecy_kE @t742)) (_ (_ tptp.member_Secrecy_Keys @t742) (_ tptp.specKeys @t740)))) (exists (@list @t741) (and (= @t739 (_ tptp.secrecy_sE @t741)) (_ (_ tptp.member2138796287ecrets @t741) (_ tptp.specSecrets @t740)))) (_ (_ tptp.knowle731562421_knows @t740) (_ (_ tptp.cons_S112077679ession @t739) tptp.nil_Se901661471ession)))))) % 0.47/1.00 (define @t744 () (@var "P3" tptp.secrecy_specID)) % 0.47/1.00 (define @t745 () (_ tptp.specKeysSecrets @t744)) % 0.47/1.00 (define @t746 () (@var "E2" tptp.list_S529945141ession)) % 0.47/1.00 (define @t747 () (lambda (@list @t744 @t746) (and (forall @t356 (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_kE @t355)) @t746) (not (_ (_ tptp.member_Secrecy_KS2 (_ tptp.secrecy_kKS @t355)) @t745)))) (forall (@list @t147) (=> (_ (_ tptp.mem_Se1967555118ession (_ tptp.secrecy_sE @t147)) @t746) (not (_ (_ tptp.member_Secrecy_KS2 (_ tptp.secrecy_sKS @t147)) @t745))))))) % 0.47/1.00 (define @t748 () (@var "Xss3" tptp.list_l425507653ession)) % 0.47/1.00 (define @t749 () (lambda (@list @t748) (_ (_ (_ tptp.foldr_1531709715ession tptp.append2089414218ession) @t748) tptp.nil_Se901661471ession))) % 0.47/1.00 (define @t750 () (@var "Xss3" tptp.list_list_Secrecy_KS)) % 0.47/1.00 (define @t751 () (lambda (@list @t750) (_ (_ (_ tptp.foldr_1711005747ecy_KS tptp.append_Secrecy_KS) @t750) tptp.nil_Secrecy_KS))) % 0.47/1.00 (define @t752 () (tptp.secrecy_kE tptp.m)) % 0.47/1.00 (define @t753 () (tptp.cons_S112077679ession @t752 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t754 () (tptp.knowle731562421_knows tptp.a @t753)) % 0.47/1.00 (define @t755 () (tptp.secrecy_kKS @t25)) % 0.47/1.00 (define @t756 () (tptp.secrec1016742679ession @t755)) % 0.47/1.00 (define @t757 () (tptp.secrecy_kE @t25)) % 0.47/1.00 (define @t758 () (= @t26 @t52)) % 0.47/1.00 (define @t759 () (tptp.secrecy_kKS @t30)) % 0.47/1.00 (define @t760 () (tptp.knowle945212990e_know @t32 @t759)) % 0.47/1.00 (define @t761 () (tptp.secrec1016742679ession @t759)) % 0.47/1.00 (define @t762 () (tptp.cons_S112077679ession @t761 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t763 () (tptp.knowle731562421_knows @t32 @t762)) % 0.47/1.00 (define @t764 () (tptp.secrecy_kKS tptp.m)) % 0.47/1.00 (define @t765 () (tptp.secrec1016742679ession @t764)) % 0.47/1.00 (define @t766 () (tptp.cons_S112077679ession @t765 tptp.nil_Se901661471ession)) % 0.47/1.00 (define @t767 () (tptp.knowle731562421_knows tptp.a @t766)) % 0.47/1.00 (define @t768 () (tptp.knowle945212990e_know tptp.a @t764)) % 0.47/1.00 (define @t769 () (forall @t40 (= @t763 @t760))) % 0.47/1.00 (define @t770 () (= @t767 @t768)) % 0.47/1.00 (define @t771 () (= @t768 @t767)) % 0.47/1.00 (define @t772 () (not @t767)) % 0.47/1.00 (define @t773 () (= @t752 @t765)) % 0.47/1.00 (define @t774 () (and @t754 @t773)) % 0.47/1.00 (assume @p1 @t4) % 0.47/1.00 (assume @p2 (forall @t9 (= (= @t8 (_ tptp.secrecy_kKS @t5)) @t7))) % 0.47/1.00 (assume @p3 (forall @t19 (=> (and @t18 (_ @t16 (_ tptp.secrecy_kKS @t15)) (_ @t12 (_ (_ tptp.enc @t14) @t10))) @t13))) % 0.47/1.00 (assume @p4 (forall @t19 (=> (and @t18 (_ @t16 (_ tptp.secrecy_kKS @t14)) (_ @t12 (_ (_ tptp.sign @t15) @t10))) @t13))) % 0.47/1.00 (assume @p5 (forall @t24 (=> @t23 (_ @t12 (_ (_ tptp.enc @t21) @t20))))) % 0.47/1.00 (assume @p6 (forall @t24 (=> @t23 (_ @t12 (_ (_ tptp.sign @t21) @t20))))) % 0.47/1.00 (assume @p7 (forall @t29 (=> @t28 (_ @t12 (_ (_ tptp.cons_S112077679ession @t26) tptp.nil_Se901661471ession))))) % 0.47/1.00 (assume @p8 @t41) % 0.47/1.00 (assume @p9 (forall @t48 (=> @t47 (=> @t45 @t43)))) % 0.47/1.00 (assume @p10 (forall @t48 (= @t47 (= @t45 @t43)))) % 0.47/1.00 (assume @p11 (forall @t29 (= @t28 (or (_ @t50 @t26) (_ (_ tptp.member_Secrecy_KS2 @t27) @t49))))) % 0.47/1.00 (assume @p12 (forall @t9 (= (= @t51 (_ tptp.secrecy_kE @t5)) @t7))) % 0.47/1.00 (assume @p13 (forall (@list @t32) (_ @t37 tptp.nil_Se901661471ession))) % 0.47/1.00 (assume @p14 @t54) % 0.47/1.00 (assume @p15 (forall (@list @t58 @t56 @t57 @t55) (= (= @t59 (_ (_ tptp.cons_Secrecy_KS @t57) @t55)) (and (= @t58 @t57) (= @t56 @t55))))) % 0.47/1.00 (assume @p16 (forall (@list @t63 @t61 @t62 @t60) (= (= @t64 (_ (_ tptp.cons_l533358079ession @t62) @t60)) (and (= @t63 @t62) (= @t61 @t60))))) % 0.47/1.00 (assume @p17 (forall (@list @t68 @t66 @t67 @t65) (= (= @t69 (_ (_ tptp.cons_list_Secrecy_KS @t67) @t65)) (and (= @t68 @t67) (= @t66 @t65))))) % 0.47/1.00 (assume @p18 (forall (@list @t73 @t71 @t72 @t70) (= (= @t74 (_ (_ tptp.cons_Secrecy_Secrets @t72) @t70)) (and (= @t73 @t72) (= @t71 @t70))))) % 0.47/1.00 (assume @p19 (forall (@list @t78 @t76 @t77 @t75) (= (= @t79 (_ (_ tptp.cons_Secrecy_Keys @t77) @t75)) (and (= @t78 @t77) (= @t76 @t75))))) % 0.47/1.00 (assume @p20 (forall (@list @t83 @t81 @t82 @t80) (= (= @t84 (_ (_ tptp.cons_S112077679ession @t82) @t80)) (and (= @t83 @t82) (= @t81 @t80))))) % 0.47/1.00 (assume @p21 (forall (@list @t32 @t85) (= (_ @t37 (_ (_ tptp.cons_S112077679ession (_ tptp.secrec1016742679ession @t86)) tptp.nil_Se901661471ession)) (_ @t33 @t86)))) % 0.47/1.00 (assume @p22 (forall (@list @t63 @t61) (not (= tptp.nil_li311616943ession @t64)))) % 0.47/1.00 (assume @p23 (forall (@list @t68 @t66) (not (= tptp.nil_list_Secrecy_KS @t69)))) % 0.47/1.00 (assume @p24 (forall (@list @t73 @t71) (not (= tptp.nil_Secrecy_Secrets @t74)))) % 0.47/1.00 (assume @p25 (forall (@list @t78 @t76) (not (= tptp.nil_Secrecy_Keys @t79)))) % 0.47/1.00 (assume @p26 (forall (@list @t58 @t56) (not (= tptp.nil_Secrecy_KS @t59)))) % 0.47/1.00 (assume @p27 (forall @t87 (not (= tptp.nil_Se901661471ession @t84)))) % 0.47/1.00 (assume @p28 (forall (@list @t88 @t63 @t61) (=> (= @t88 @t64) (not (= @t88 tptp.nil_li311616943ession))))) % 0.47/1.00 (assume @p29 (forall (@list @t89 @t68 @t66) (=> (= @t89 @t69) (not (= @t89 tptp.nil_list_Secrecy_KS))))) % 0.47/1.00 (assume @p30 (forall (@list @t90 @t73 @t71) (=> (= @t90 @t74) (not (= @t90 tptp.nil_Secrecy_Secrets))))) % 0.47/1.00 (assume @p31 (forall (@list @t91 @t78 @t76) (=> (= @t91 @t79) (not (= @t91 tptp.nil_Secrecy_Keys))))) % 0.47/1.00 (assume @p32 (forall (@list @t92 @t58 @t56) (=> (= @t92 @t59) @t94))) % 0.47/1.00 (assume @p33 (forall (@list @t95 @t83 @t81) (=> (= @t95 @t84) @t97))) % 0.47/1.00 (assume @p34 (forall (@list @t100) (=> (not (= @t100 tptp.nil_li311616943ession)) (not (forall (@list @t99 @t98) (not (= @t100 (_ (_ tptp.cons_l533358079ession @t99) @t98)))))))) % 0.47/1.00 (assume @p35 (forall (@list @t103) (=> (not (= @t103 tptp.nil_list_Secrecy_KS)) (not (forall (@list @t102 @t101) (not (= @t103 (_ (_ tptp.cons_list_Secrecy_KS @t102) @t101)))))))) % 0.47/1.00 (assume @p36 (forall (@list @t106) (=> (not (= @t106 tptp.nil_Secrecy_Secrets)) (not (forall (@list @t105 @t104) (not (= @t106 (_ (_ tptp.cons_Secrecy_Secrets @t105) @t104)))))))) % 0.47/1.00 (assume @p37 (forall (@list @t109) (=> (not (= @t109 tptp.nil_Secrecy_Keys)) (not (forall (@list @t108 @t107) (not (= @t109 (_ (_ tptp.cons_Secrecy_Keys @t108) @t107)))))))) % 0.47/1.00 (assume @p38 (forall (@list @t112) (=> (not (= @t112 tptp.nil_Secrecy_KS)) (not (forall (@list @t111 @t110) (not (= @t112 (_ (_ tptp.cons_Secrecy_KS @t111) @t110)))))))) % 0.47/1.00 (assume @p39 (forall (@list @t115) (=> (not (= @t115 tptp.nil_Se901661471ession)) (not (forall (@list @t114 @t113) (not (= @t115 (_ (_ tptp.cons_S112077679ession @t114) @t113)))))))) % 0.47/1.00 (assume @p40 (forall (@list @t116 @t88) (=> (_ @t116 tptp.nil_li311616943ession) (=> (forall (@list @t118 @t117) (=> (_ @t116 @t117) (_ @t116 (_ (_ tptp.cons_l533358079ession @t118) @t117)))) (_ @t116 @t88))))) % 0.47/1.00 (assume @p41 (forall (@list @t119 @t89) (=> (_ @t119 tptp.nil_list_Secrecy_KS) (=> (forall (@list @t121 @t120) (=> (_ @t119 @t120) (_ @t119 (_ (_ tptp.cons_list_Secrecy_KS @t121) @t120)))) (_ @t119 @t89))))) % 0.47/1.00 (assume @p42 (forall (@list @t122 @t90) (=> (_ @t122 tptp.nil_Secrecy_Secrets) (=> (forall (@list @t124 @t123) (=> (_ @t122 @t123) (_ @t122 (_ (_ tptp.cons_Secrecy_Secrets @t124) @t123)))) (_ @t122 @t90))))) % 0.47/1.00 (assume @p43 (forall (@list @t125 @t91) (=> (_ @t125 tptp.nil_Secrecy_Keys) (=> (forall (@list @t127 @t126) (=> (_ @t125 @t126) (_ @t125 (_ (_ tptp.cons_Secrecy_Keys @t127) @t126)))) (_ @t125 @t91))))) % 0.47/1.00 (assume @p44 (forall (@list @t128 @t92) (=> @t131 (=> (forall (@list @t130 @t129) (=> (_ @t128 @t129) (_ @t128 (_ (_ tptp.cons_Secrecy_KS @t130) @t129)))) (_ @t128 @t92))))) % 0.47/1.00 (assume @p45 (forall (@list @t132 @t95) (=> @t135 (=> (forall (@list @t134 @t133) (=> (_ @t132 @t133) (_ @t132 (_ (_ tptp.cons_S112077679ession @t134) @t133)))) (_ @t132 @t95))))) % 0.47/1.00 (assume @p46 (forall @t140 (= @t139 (exists (@list @t137 @t136) (= @t138 (_ (_ tptp.cons_l533358079ession @t137) @t136)))))) % 0.47/1.00 (assume @p47 (forall @t145 (= @t144 (exists (@list @t142 @t141) (= @t143 (_ (_ tptp.cons_list_Secrecy_KS @t142) @t141)))))) % 0.47/1.00 (assume @p48 (forall (@list @t148) (= (not (= @t148 tptp.nil_Secrecy_Secrets)) (exists (@list @t147 @t146) (= @t148 (_ (_ tptp.cons_Secrecy_Secrets @t147) @t146)))))) % 0.47/1.00 (assume @p49 (forall (@list @t151) (= (not (= @t151 tptp.nil_Secrecy_Keys)) (exists (@list @t150 @t149) (= @t151 (_ (_ tptp.cons_Secrecy_Keys @t150) @t149)))))) % 0.47/1.00 (assume @p50 (forall @t158 (= @t157 (exists (@list @t153 @t152) (= @t155 @t154))))) % 0.47/1.00 (assume @p51 (forall @t165 (= @t164 (exists (@list @t160 @t159) (= @t162 @t161))))) % 0.47/1.00 (assume @p52 (forall (@list @t167 @t151 @t166) (=> (_ @t176 tptp.nil_Secrecy_KS) (=> (forall @t178 (_ @t175 tptp.nil_Secrecy_KS)) (=> (forall @t177 (_ @t176 @t171)) (=> (forall (@list @t173 @t172 @t169 @t168) (=> (_ (_ @t167 @t172) @t168) (_ @t175 @t171))) (_ (_ @t167 @t151) @t166))))))) % 0.47/1.00 (assume @p53 (forall (@list @t180 @t151 @t179) (=> (_ @t185 tptp.nil_li311616943ession) (=> (forall @t178 (_ @t184 tptp.nil_li311616943ession)) (=> (forall (@list @t182 @t181) (_ @t185 @t183)) (=> (forall (@list @t173 @t172 @t182 @t181) (=> (_ (_ @t180 @t172) @t181) (_ @t184 @t183))) (_ (_ @t180 @t151) @t179))))))) % 0.47/1.00 (assume @p54 (forall (@list @t187 @t151 @t186) (=> (_ @t192 tptp.nil_list_Secrecy_KS) (=> (forall @t178 (_ @t191 tptp.nil_list_Secrecy_KS)) (=> (forall (@list @t189 @t188) (_ @t192 @t190)) (=> (forall (@list @t173 @t172 @t189 @t188) (=> (_ (_ @t187 @t172) @t188) (_ @t191 @t190))) (_ (_ @t187 @t151) @t186))))))) % 0.47/1.00 (assume @p55 (forall (@list @t194 @t151 @t193) (=> (_ @t199 tptp.nil_Secrecy_Secrets) (=> (forall @t178 (_ @t198 tptp.nil_Secrecy_Secrets)) (=> (forall (@list @t196 @t195) (_ @t199 @t197)) (=> (forall (@list @t173 @t172 @t196 @t195) (=> (_ (_ @t194 @t172) @t195) (_ @t198 @t197))) (_ (_ @t194 @t151) @t193))))))) % 0.47/1.00 (assume @p56 (forall (@list @t201 @t151 @t200) (=> (_ @t206 tptp.nil_Secrecy_Keys) (=> (forall @t178 (_ @t205 tptp.nil_Secrecy_Keys)) (=> (forall (@list @t203 @t202) (_ @t206 @t204)) (=> (forall (@list @t173 @t172 @t203 @t202) (=> (_ (_ @t201 @t172) @t202) (_ @t205 @t204))) (_ (_ @t201 @t151) @t200))))))) % 0.47/1.00 (assume @p57 (forall (@list @t207 @t155 @t166) (=> @t219 (=> (forall @t218 (_ @t212 tptp.nil_Secrecy_KS)) (=> (forall @t177 (_ @t217 @t171)) (=> (forall @t216 @t215) (_ (_ @t207 @t155) @t166))))))) % 0.47/1.00 (assume @p58 (forall (@list @t221 @t155 @t220) (=> @t230 (=> (forall @t218 (_ @t226 tptp.nil_Se901661471ession)) (=> (forall @t229 (_ @t228 @t225)) (=> (forall (@list @t209 @t208 @t223 @t222) @t227) (_ (_ @t221 @t155) @t220))))))) % 0.47/1.00 (assume @p59 (forall (@list @t231 @t162 @t166) (=> @t240 (=> (forall @t239 (_ @t236 tptp.nil_Secrecy_KS)) (=> (forall @t177 (_ @t238 @t171)) (=> (forall (@list @t233 @t232 @t169 @t168) @t237) (_ (_ @t231 @t162) @t166))))))) % 0.47/1.00 (assume @p60 (forall (@list @t241 @t162 @t220) (=> @t248 (=> (forall @t239 (_ @t242 tptp.nil_Se901661471ession)) (=> (forall @t229 (_ @t247 @t225)) (=> (forall @t246 @t245) (_ (_ @t241 @t162) @t220))))))) % 0.47/1.00 (assume @p61 (forall @t255 (=> @t254 (=> (forall (@list @t209 @t208 @t168) (=> (_ (_ @t207 @t168) @t208) @t252)) @t251)))) % 0.47/1.00 (assume @p62 (forall @t262 (=> @t261 (=> (forall (@list @t233 @t232 @t222) (=> (_ (_ @t241 @t222) @t232) @t259)) @t258)))) % 0.47/1.00 (assume @p63 (forall @t269 (=> @t131 (=> @t268 (=> (forall (@list @t209 @t169 @t264) (=> (_ @t128 @t264) (=> (_ @t128 @t265) (_ @t128 (_ @t210 @t265))))) @t263))))) % 0.47/1.00 (assume @p64 (forall @t276 (=> @t135 (=> @t275 (=> (forall (@list @t233 @t223 @t271) (=> (_ @t132 @t271) (=> (_ @t132 @t272) (_ @t132 (_ @t234 @t272))))) @t270))))) % 0.47/1.00 (assume @p65 (forall @t281 (= (= @t280 (_ tptp.secrecy_sKS @t277)) @t279))) % 0.47/1.00 (assume @p66 (forall @t282 (not (= @t8 @t280)))) % 0.47/1.00 (assume @p67 (forall (@list @t284 @t283) (=> (forall (@list @t173) (_ @t284 (_ tptp.secrecy_kKS @t173))) (=> (forall (@list @t285) (_ @t284 (_ tptp.secrecy_sKS @t285))) (_ @t284 @t283))))) % 0.47/1.00 (assume @p68 (forall @t288 (=> (forall (@list @t127) (not (= @t287 (_ tptp.secrecy_kKS @t127)))) (not (forall (@list @t286) (not (= @t287 (_ tptp.secrecy_sKS @t286)))))))) % 0.47/1.00 (assume @p69 (forall @t292 (not (= @t291 @t162)))) % 0.47/1.00 (assume @p70 (forall (@list @t295 @t294 @t249 @t293) (=> (forall (@list @t300 @t260) (_ (_ @t301 tptp.nil_Secrecy_KS) @t260)) (=> (forall (@list @t300 @t298 @t297 @t296) (=> (_ (_ @t301 @t297) (_ (_ tptp.cons_S112077679ession (_ @t300 @t298)) @t296)) (_ (_ @t301 @t299) @t296))) (_ (_ (_ @t295 @t294) @t249) @t293))))) % 0.47/1.00 (assume @p71 (forall (@list @t303 @t302 @t256 @t293) (=> (forall (@list @t307 @t260) (_ (_ @t308 tptp.nil_Se901661471ession) @t260)) (=> (forall (@list @t307 @t305 @t304 @t296) (=> (_ (_ @t308 @t304) (_ (_ tptp.cons_S112077679ession (_ @t307 @t305)) @t296)) (_ (_ @t308 @t306) @t296))) (_ (_ (_ @t303 @t302) @t256) @t293))))) % 0.47/1.00 (assume @p72 (forall @t312 (=> @t157 (=> @t268 (=> (forall @t218 (=> @t311 (=> @t310 @t309))) @t263))))) % 0.47/1.00 (assume @p73 (forall @t316 (=> @t164 (=> @t275 (=> (forall @t239 (=> @t315 (=> @t314 @t313))) @t270))))) % 0.47/1.00 (assume @p74 (forall @t325 (=> @t324 (=> (forall (@list @t322 @t209) (_ @t323 @t266)) (=> (forall (@list @t322 @t209 @t169 @t208) (=> (_ @t323 @t320) (_ @t323 @t321))) @t319))))) % 0.47/1.00 (assume @p75 (forall @t334 (=> @t333 (=> (forall (@list @t331 @t233) (_ @t332 @t273)) (=> (forall (@list @t331 @t233 @t223 @t232) (=> (_ @t332 @t329) (_ @t332 @t330))) @t328))))) % 0.47/1.00 (assume @p76 (forall (@list @t128 @t250) (=> @t131 (=> @t268 (=> (forall @t336 (=> (=> @t335 @t309) (=> (=> (not @t335) (_ @t128 @t320)) (_ @t128 @t321)))) (_ @t128 @t250)))))) % 0.47/1.00 (assume @p77 (forall (@list @t132 @t257) (=> @t135 (=> @t275 (=> (forall @t338 (=> (=> @t337 @t313) (=> (=> (not @t337) (_ @t132 @t329)) (_ @t132 @t330)))) (_ @t132 @t257)))))) % 0.47/1.00 (assume @p78 (forall @t325 (=> @t324 (=> (forall (@list @t322 @t209 @t168) (=> (_ @t323 @t168) (_ @t323 (_ @t210 @t168)))) @t319)))) % 0.47/1.00 (assume @p79 (forall @t334 (=> @t333 (=> (forall (@list @t331 @t233 @t222) (=> (_ @t332 @t222) (_ @t332 (_ @t234 @t222)))) @t328)))) % 0.47/1.00 (assume @p80 (forall (@list @t339) (=> (not @t340) (=> (forall @t267 (not (= @t339 @t266))) (not (forall @t336 (not (= @t339 @t321)))))))) % 0.47/1.00 (assume @p81 (forall (@list @t341) (=> (not @t342) (=> (forall @t274 (not (= @t341 @t273))) (not (forall @t338 (not (= @t341 @t330)))))))) % 0.47/1.00 (assume @p82 (forall (@list @t344) (=> (not (= @t344 tptp.nil_list_Secrecy_KS)) (=> (forall (@list @t343) (not (= @t344 (_ @t345 @t343)))) (not (forall (@list @t209 @t208 @t343) (not (= @t344 (_ (_ tptp.cons_list_Secrecy_KS @t211) @t343))))))))) % 0.47/1.00 (assume @p83 (forall (@list @t347) (=> (not (= @t347 tptp.nil_li311616943ession)) (=> (forall (@list @t346) (not (= @t347 (_ @t348 @t346)))) (not (forall (@list @t233 @t232 @t346) (not (= @t347 (_ (_ tptp.cons_l533358079ession @t235) @t346))))))))) % 0.47/1.00 (assume @p84 (forall (@list @t349 @t350) (= (_ (_ tptp.member_Secrecy_Keys @t349) (_ tptp.collect_Secrecy_Keys @t350)) (_ @t350 @t349)))) % 0.47/1.00 (assume @p85 (forall (@list @t351 @t284) (= (_ (_ tptp.member_Secrecy_KS2 @t351) (_ tptp.collect_Secrecy_KS @t284)) (_ @t284 @t351)))) % 0.47/1.00 (assume @p86 (forall (@list @t352 @t353) (= (_ (_ tptp.member2138796287ecrets @t352) (_ tptp.collec836099393ecrets @t353)) (_ @t353 @t352)))) % 0.47/1.00 (assume @p87 (forall (@list @t354) (= (_ tptp.collect_Secrecy_Keys (lambda @t356 (_ (_ tptp.member_Secrecy_Keys @t355) @t354))) @t354))) % 0.47/1.00 (assume @p88 (forall (@list @t357) (= (_ tptp.collect_Secrecy_KS (lambda @t359 (_ (_ tptp.member_Secrecy_KS2 @t358) @t357))) @t357))) % 0.47/1.00 (assume @p89 (forall (@list @t360) (= (_ tptp.collec836099393ecrets (lambda (@list @t361) (_ (_ tptp.member2138796287ecrets @t361) @t360))) @t360))) % 0.47/1.00 (assume @p90 (forall @t255 (=> @t254 (=> (forall @t362 (_ @t214 tptp.nil_Secrecy_KS)) (=> (forall @t216 (=> (_ @t214 @t171) (=> @t252 @t213))) @t251))))) % 0.47/1.00 (assume @p91 (forall @t262 (=> @t261 (=> (forall @t363 (_ @t244 tptp.nil_Se901661471ession)) (=> (forall @t246 (=> (_ @t244 @t225) (=> @t259 @t243))) @t258))))) % 0.47/1.00 (assume @p92 (forall (@list @t11 @t364) (= (_ @t16 @t365) (or (_ @t50 @t366) (_ (_ tptp.member_Secrecy_KS2 @t365) @t49))))) % 0.47/1.00 (assume @p93 (= (_ tptp.secrec1371625429on2KSL tptp.nil_Se901661471ession) tptp.nil_Secrecy_KS)) % 0.47/1.00 (assume @p94 (forall @t370 (= (_ (_ tptp.insert_Secrecy_KS @t367) tptp.nil_Secrecy_KS) @t369))) % 0.47/1.00 (assume @p95 (forall @t372 (= (_ (_ tptp.insert1173886601ession @t289) tptp.nil_Se901661471ession) @t371))) % 0.47/1.00 (assume @p96 (forall (@list @t373) (not (_ (_ tptp.list_e1486860828ession @t373) tptp.nil_Se901661471ession)))) % 0.47/1.00 (assume @p97 (forall (@list @t284) (not (_ (_ tptp.list_ex1_Secrecy_KS @t284) tptp.nil_Secrecy_KS)))) % 0.47/1.00 (assume @p98 (forall (@list @t32 @t374) (=> (_ (_ tptp.knowle1268625169orrect @t32) @t374) (=> (_ @t44 @t374) (or (exists (@list @t377) (and (= @t374 (_ tptp.secrecy_kE @t377)) (_ (_ tptp.member_Secrecy_Keys @t377) @t42))) (exists (@list @t376) (and (= @t374 (_ tptp.secrecy_sE @t376)) (_ (_ tptp.member2138796287ecrets @t376) @t375))) (_ @t37 (_ (_ tptp.cons_S112077679ession @t374) tptp.nil_Se901661471ession))))))) % 0.47/1.00 (assume @p99 (forall (@list @t379 @t381 @t378 @t115) (=> (= (_ (_ @t380 @t381) @t378) @t115) (=> (=> (= @t381 tptp.nil_Secrecy_KS) @t382) (not (forall (@list @t298 @t297) (=> (= @t381 @t299) (not (= @t115 (_ (_ @t380 @t297) (_ (_ tptp.cons_S112077679ession (_ @t379 @t298)) @t378))))))))))) % 0.47/1.00 (assume @p100 (forall (@list @t383 @t385 @t378 @t115) (=> (= (_ (_ @t384 @t385) @t378) @t115) (=> (=> (= @t385 tptp.nil_Se901661471ession) @t382) (not (forall (@list @t305 @t304) (=> (= @t385 @t306) (not (= @t115 (_ (_ @t384 @t304) (_ (_ tptp.cons_S112077679ession (_ @t383 @t305)) @t378))))))))))) % 0.47/1.00 (assume @p101 (forall @t392 (=> @t391 (_ @t389 (_ @t387 tptp.nil_Se901661471ession))))) % 0.47/1.00 (assume @p102 (forall @t281 (= (= @t393 (_ tptp.secrecy_sE @t277)) @t279))) % 0.47/1.00 (assume @p103 (forall @t282 (not (= @t51 @t393)))) % 0.47/1.00 (assume @p104 (forall @t392 (=> @t391 (_ @t389 @t390)))) % 0.47/1.00 (assume @p105 (forall (@list @t395 @t386 @t396 @t394) (= (_ (_ @t397 (_ @t387 @t396)) @t394) (_ (_ @t397 @t396) (_ (_ tptp.cons_S112077679ession (_ @t395 @t386)) @t394))))) % 0.47/1.00 (assume @p106 (forall (@list @t364) (= (_ tptp.secrec1016742679ession @t365) @t366))) % 0.47/1.00 (assume @p107 (forall @t401 (=> @t400 (=> @t399 @t398)))) % 0.47/1.00 (assume @p108 (forall @t401 (= @t400 (= @t399 @t398)))) % 0.47/1.00 (assume @p109 (= (_ tptp.produc1450295286ession tptp.nil_li311616943ession) @t402)) % 0.47/1.00 (assume @p110 (= (_ tptp.produc713695622ecy_KS tptp.nil_list_Secrecy_KS) @t403)) % 0.47/1.00 (assume @p111 (= (_ tptp.subseq348280080ession tptp.nil_Se901661471ession) @t402)) % 0.47/1.00 (assume @p112 (= (_ tptp.subseqs_Secrecy_KS tptp.nil_Secrecy_KS) @t403)) % 0.47/1.00 (assume @p113 (forall @t408 (=> @t407 (= (_ (_ tptp.decr @t406) (_ (_ tptp.enc @t405) @t404)) @t404)))) % 0.47/1.00 (assume @p114 (forall @t408 (=> @t407 (= (_ (_ tptp.ext @t405) (_ (_ tptp.sign @t406) @t404)) @t404)))) % 0.47/1.00 (assume @p115 (forall (@list @t410 @t367 @t155) (not (_ (_ @t411 @t409) tptp.nil_Secrecy_KS)))) % 0.47/1.00 (assume @p116 (forall (@list @t412 @t289 @t162) (not (_ @t414 tptp.nil_Se901661471ession)))) % 0.47/1.00 (assume @p117 (forall @t416 (= (_ (_ tptp.bind_S815874003ession tptp.nil_Se901661471ession) @t415) tptp.nil_Se901661471ession))) % 0.47/1.00 (assume @p118 (forall @t418 (= (_ (_ tptp.bind_S1823644515ecy_KS tptp.nil_Se901661471ession) @t417) tptp.nil_Secrecy_KS))) % 0.47/1.00 (assume @p119 (forall @t420 (= (_ (_ tptp.bind_S711229283ession tptp.nil_Secrecy_KS) @t419) tptp.nil_Se901661471ession))) % 0.47/1.00 (assume @p120 (forall @t422 (= (_ (_ tptp.bind_S645462771ecy_KS tptp.nil_Secrecy_KS) @t421) tptp.nil_Secrecy_KS))) % 0.47/1.00 (assume @p121 (forall (@list @t412 @t289 @t162 @t425 @t220) (= @t430 (or @t427 (and @t426 @t424))))) % 0.47/1.00 (assume @p122 (forall (@list @t412 @t220) (_ (_ @t413 tptp.nil_Se901661471ession) @t220))) % 0.47/1.00 (assume @p123 (forall (@list @t410 @t166) (_ (_ @t411 tptp.nil_Secrecy_KS) @t166))) % 0.47/1.00 (assume @p124 (forall (@list @t412 @t162) (= (_ @t423 tptp.nil_Se901661471ession) @t163))) % 0.47/1.00 (assume @p125 (forall (@list @t410 @t155) (= (_ (_ @t411 @t155) tptp.nil_Secrecy_KS) @t156))) % 0.47/1.00 (assume @p126 (forall @t431 (=> (not @t427) (=> @t426 (=> @t424 @t430))))) % 0.47/1.00 (assume @p127 (forall @t431 (=> @t427 @t430))) % 0.47/1.00 (assume @p128 (forall (@list @t410 @t433 @t432 @t207) (=> (_ (_ @t411 @t433) @t432) (=> @t254 (=> (forall @t439 (=> @t437 @t213)) (=> (forall @t439 (=> @t438 (=> @t436 (=> @t435 @t215)))) @t434)))))) % 0.47/1.00 (assume @p129 (forall (@list @t412 @t441 @t440 @t241) (=> (_ (_ @t413 @t441) @t440) (=> @t261 (=> (forall @t447 (=> @t445 @t243)) (=> (forall @t447 (=> @t446 (=> @t444 (=> @t443 @t245)))) @t442)))))) % 0.47/1.00 (assume @p130 (= tptp.lexord948960489ecy_KS (lambda (@list @t449 @t454 @t451) (or (exists (@list @t152) (and @t457 (= @t451 @t152))) (exists @t456 (and @t455 @t452 @t450)) (exists @t456 (and @t455 @t452 (not @t450) (not (_ (_ @t449 @t153) @t358)) (_ (_ (_ tptp.lexord948960489ecy_KS @t449) @t448) @t152))))))) % 0.47/1.00 (assume @p131 (= tptp.lexord1123423577ession (lambda (@list @t459 @t465 @t462) (or (exists (@list @t159) (and @t468 (= @t462 @t159))) (exists @t467 (and @t466 @t463 @t461)) (exists @t467 (and @t466 @t463 (not @t461) (not (_ (_ @t459 @t160) @t460)) (_ (_ (_ tptp.lexord1123423577ession @t459) @t458) @t159))))))) % 0.47/1.00 (assume @p132 (forall (@list @t410 @t249 @t469) (=> (_ (_ @t411 @t249) @t469) (=> (not @t473) (=> (forall @t267 (=> (exists @t362 @t472) (forall (@list @t169) (=> (exists @t471 @t470) @t438)))) (not (forall @t336 (=> @t472 (forall @t471 (=> @t470 (=> @t438 (=> @t436 (not @t435))))))))))))) % 0.47/1.00 (assume @p133 (forall (@list @t412 @t256 @t293) (=> (_ (_ @t413 @t256) @t293) (=> (not @t477) (=> (forall @t274 (=> (exists @t363 @t476) (forall (@list @t223) (=> (exists @t475 @t474) @t446)))) (not (forall @t338 (=> @t476 (forall @t475 (=> @t474 (=> @t446 (=> @t444 (not @t443))))))))))))) % 0.47/1.00 (assume @p134 (forall @t370 (not (_ (_ tptp.mem_Secrecy_KS @t367) tptp.nil_Secrecy_KS)))) % 0.47/1.00 (assume @p135 (forall @t372 (not (_ @t478 tptp.nil_Se901661471ession)))) % 0.47/1.00 (assume @p136 (forall (@list @t289 @t425 @t390) (= (_ @t478 (_ @t428 @t390)) (or @t479 (_ @t478 @t390))))) % 0.47/1.00 (assume @p137 (forall (@list @t480 @t433 @t432 @t207) (=> (_ (_ @t481 @t433) @t432) (=> @t219 (=> (forall @t439 (=> @t483 (=> @t482 @t215))) @t434))))) % 0.47/1.00 (assume @p138 (forall (@list @t484 @t433 @t440 @t221) (=> (_ (_ @t485 @t433) @t440) (=> @t230 (=> (forall (@list @t209 @t223 @t208 @t222) (=> @t487 (=> @t486 @t227))) (_ (_ @t221 @t433) @t440)))))) % 0.47/1.00 (assume @p139 (forall (@list @t488 @t441 @t432 @t231) (=> (_ (_ @t489 @t441) @t432) (=> @t240 (=> (forall (@list @t233 @t169 @t232 @t168) (=> @t491 (=> @t490 @t237))) (_ (_ @t231 @t441) @t432)))))) % 0.47/1.00 (assume @p140 (forall (@list @t492 @t441 @t440 @t241) (=> (_ (_ @t493 @t441) @t440) (=> @t248 (=> (forall @t447 (=> @t495 (=> @t494 @t245))) @t442))))) % 0.47/1.00 (assume @p141 (= tptp.listre788412843ecy_KS (lambda (@list @t496 @t454 @t451) (or (and @t457 @t497) (exists @t456 (and @t455 @t452 (_ (_ @t496 @t358) @t153) (_ (_ (_ tptp.listre788412843ecy_KS @t496) @t448) @t152))))))) % 0.47/1.00 (assume @p142 (= tptp.listre1601064475ession (lambda (@list @t498 @t454 @t462) (or (and @t457 @t499) (exists (@list @t358 @t160 @t448 @t159) (and @t455 @t463 (_ (_ @t498 @t358) @t160) (_ (_ (_ tptp.listre1601064475ession @t498) @t448) @t159))))))) % 0.47/1.00 (assume @p143 (= tptp.listre565996059ecy_KS (lambda (@list @t500 @t465 @t451) (or (and @t468 @t497) (exists (@list @t460 @t153 @t458 @t152) (and @t466 @t452 (_ (_ @t500 @t460) @t153) (_ (_ (_ tptp.listre565996059ecy_KS @t500) @t458) @t152))))))) % 0.47/1.00 (assume @p144 (= tptp.listre84909707ession (lambda (@list @t501 @t465 @t462) (or (and @t468 @t499) (exists @t467 (and @t466 @t463 (_ (_ @t501 @t460) @t160) (_ (_ (_ tptp.listre84909707ession @t501) @t458) @t159))))))) % 0.47/1.00 (assume @p145 (forall (@list @t480 @t249 @t469) (=> (_ (_ @t481 @t249) @t469) (=> (=> @t473 @t502) (not (forall @t336 (=> @t472 (forall @t471 (=> @t470 (=> @t483 (not @t482))))))))))) % 0.47/1.00 (assume @p146 (forall (@list @t484 @t249 @t293) (=> (_ (_ @t485 @t249) @t293) (=> (=> @t473 @t503) (not (forall (@list @t209 @t223 @t208) (=> @t472 (forall @t475 (=> @t474 (=> @t487 (not @t486))))))))))) % 0.47/1.00 (assume @p147 (forall (@list @t488 @t256 @t469) (=> (_ (_ @t489 @t256) @t469) (=> (=> @t477 @t502) (not (forall (@list @t233 @t169 @t232) (=> @t476 (forall @t471 (=> @t470 (=> @t491 (not @t490))))))))))) % 0.47/1.00 (assume @p148 (forall (@list @t492 @t256 @t293) (=> (_ (_ @t493 @t256) @t293) (=> (=> @t477 @t503) (not (forall @t338 (=> @t476 (forall @t475 (=> @t474 (=> @t495 (not @t494))))))))))) % 0.47/1.00 (assume @p149 (forall (@list @t492 @t289 @t425 @t162 @t220) (=> (_ (_ @t492 @t289) @t425) (=> (_ (_ @t493 @t162) @t220) (_ (_ @t493 @t291) @t429))))) % 0.47/1.00 (assume @p150 (forall (@list @t492) (_ (_ @t493 tptp.nil_Se901661471ession) tptp.nil_Se901661471ession))) % 0.47/1.00 (assume @p151 (forall (@list @t488) (_ (_ @t489 tptp.nil_Se901661471ession) tptp.nil_Secrecy_KS))) % 0.47/1.00 (assume @p152 (forall (@list @t484) (_ (_ @t485 tptp.nil_Secrecy_KS) tptp.nil_Se901661471ession))) % 0.47/1.00 (assume @p153 (forall (@list @t480) (_ (_ @t481 tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS))) % 0.47/1.00 (assume @p154 (= tptp.mem_Se1967555118ession tptp.memS_S2026082737ession)) % 0.47/1.00 (assume @p155 (forall (@list @t289 @t505 @t504) (=> (_ @t478 @t505) (=> (_ @t478 @t504) (not (_ (_ tptp.disjoi1945222607ession @t505) @t504)))))) % 0.47/1.00 (assume @p156 (forall (@list @t425) (not (_ (_ tptp.member2020590922ession tptp.nil_Se901661471ession) @t425)))) % 0.47/1.00 (assume @p157 (forall @t288 (not (_ (_ tptp.member_Secrecy_KS tptp.nil_Secrecy_KS) @t287)))) % 0.47/1.00 (assume @p158 (forall (@list @t289 @t162 @t425) (= (_ (_ tptp.member2020590922ession @t291) @t425) (or @t479 (_ (_ tptp.member2020590922ession @t162) @t425))))) % 0.47/1.00 (assume @p159 (forall (@list @t339 @t381 @t112) (=> (= (_ (_ tptp.splice_Secrecy_KS @t339) @t381) @t112) (=> (=> @t340 (not (= @t112 @t381))) (not (forall @t218 (=> (= @t339 @t211) (not (= @t112 (_ @t210 (_ (_ tptp.splice_Secrecy_KS @t381) @t208))))))))))) % 0.47/1.00 (assume @p160 (forall (@list @t341 @t385 @t115) (=> (= (_ (_ tptp.splice1390717708ession @t341) @t385) @t115) (=> (=> @t342 (not (= @t115 @t385))) (not (forall @t239 (=> (= @t341 @t235) (not (= @t115 (_ @t234 (_ (_ tptp.splice1390717708ession @t385) @t232))))))))))) % 0.47/1.00 (assume @p161 (forall (@list @t508 @t507 @t506) (= (_ (_ tptp.append2089414218ession (_ @t509 @t507)) @t506) (_ @t509 (_ (_ tptp.append2089414218ession @t507) @t506))))) % 0.47/1.00 (assume @p162 (forall @t515 (= (_ (_ tptp.append2089414218ession @t514) @t510) (_ @t513 @t512)))) % 0.47/1.00 (assume @p163 (forall (@list @t220 @t162 @t510) (= (= (_ @t511 @t162) (_ @t517 @t162)) @t516))) % 0.47/1.00 (assume @p164 (forall @t515 (= (= @t514 (_ @t513 @t510)) @t516))) % 0.47/1.00 (assume @p165 (forall @t518 (= (_ @t509 tptp.nil_Se901661471ession) @t508))) % 0.47/1.00 (assume @p166 (forall @t520 (= (_ (_ tptp.append_Secrecy_KS @t519) tptp.nil_Secrecy_KS) @t519))) % 0.47/1.00 (assume @p167 (forall @t523 (= (= @t514 tptp.nil_Se901661471ession) @t522))) % 0.47/1.00 (assume @p168 (forall @t528 (= (= @t527 tptp.nil_Secrecy_KS) @t525))) % 0.47/1.00 (assume @p169 (forall @t523 (= (= tptp.nil_Se901661471ession @t514) @t522))) % 0.47/1.00 (assume @p170 (forall @t528 (= (= tptp.nil_Secrecy_KS @t527) @t525))) % 0.47/1.00 (assume @p171 (forall @t529 (= (= @t220 @t514) @t163))) % 0.47/1.00 (assume @p172 (forall @t530 (= (= @t166 @t527) @t156))) % 0.47/1.00 (assume @p173 (forall @t523 (= (= @t514 @t220) @t163))) % 0.47/1.00 (assume @p174 (forall @t528 (= (= @t527 @t166) @t156))) % 0.47/1.00 (assume @p175 (forall @t523 (= (= @t162 @t514) @t521))) % 0.47/1.00 (assume @p176 (forall @t528 (= (= @t155 @t527) @t524))) % 0.47/1.00 (assume @p177 (forall @t523 (= (= @t514 @t162) @t521))) % 0.47/1.00 (assume @p178 (forall @t528 (= (= @t527 @t155) @t524))) % 0.47/1.00 (assume @p179 (forall @t165 (= (_ @t513 tptp.nil_Se901661471ession) @t162))) % 0.47/1.00 (assume @p180 (forall @t158 (= (_ @t526 tptp.nil_Secrecy_KS) @t155))) % 0.47/1.00 (assume @p181 (forall @t523 (= (= (_ @t531 @t220) tptp.nil_Se901661471ession) @t522))) % 0.47/1.00 (assume @p182 (forall @t528 (= (= (_ @t532 @t166) tptp.nil_Secrecy_KS) @t525))) % 0.47/1.00 (assume @p183 (forall @t165 (= (_ @t531 tptp.nil_Se901661471ession) @t162))) % 0.47/1.00 (assume @p184 (forall @t158 (= (_ @t532 tptp.nil_Secrecy_KS) @t155))) % 0.47/1.00 (assume @p185 (forall (@list @t155 @t367 @t166 @t287) (= (= @t537 (_ @t536 @t535)) (and @t533 (= @t367 @t287))))) % 0.47/1.00 (assume @p186 (forall (@list @t162 @t289 @t220 @t425) (= (= @t540 (_ @t511 @t539)) (and @t538 @t479)))) % 0.47/1.00 (assume @p187 (forall (@list @t289 @t162 @t415) (= (_ (_ tptp.bind_S815874003ession @t291) @t415) (_ @t541 (_ (_ tptp.bind_S815874003ession @t162) @t415))))) % 0.47/1.00 (assume @p188 (forall (@list @t162 @t543 @t510 @t220 @t542) (=> (= (_ @t513 @t543) @t510) (=> (= @t220 (_ @t544 @t542)) (= @t514 (_ @t517 @t542)))))) % 0.47/1.00 (assume @p189 (forall (@list @t162 @t220 @t510 @t545) (= (= @t514 (_ @t517 @t545)) (exists (@list @t546) (or (and (= @t162 (_ @t517 @t546)) (= (_ @t547 @t220) @t545)) (and (= (_ @t513 @t546) @t510) (= @t220 (_ @t547 @t545)))))))) % 0.47/1.00 (assume @p190 (forall @t523 (=> @t538 (= @t162 @t549)))) % 0.47/1.00 (assume @p191 (forall @t528 (=> @t533 (= @t155 @t551)))) % 0.47/1.00 (assume @p192 (forall @t552 (= @t549 @t220))) % 0.47/1.00 (assume @p193 (forall @t553 (= @t551 @t166))) % 0.47/1.00 (assume @p194 (forall @t518 (= (_ @t548 @t508) @t508))) % 0.47/1.00 (assume @p195 (forall @t520 (= (_ @t550 @t519) @t519))) % 0.47/1.00 (assume @p196 (forall (@list @t289 @t543 @t220 @t162 @t510) (=> (= (_ @t290 @t543) @t220) (=> (= @t162 (_ @t544 @t510)) @t554)))) % 0.47/1.00 (assume @p197 (forall @t555 (= (_ (_ tptp.append2089414218ession @t291) @t220) (_ @t290 @t514)))) % 0.47/1.00 (assume @p198 (forall (@list @t412 @t557 @t556) (_ (_ @t413 @t557) (_ (_ tptp.append2089414218ession @t557) @t556)))) % 0.47/1.00 (assume @p199 (forall (@list @t11 @t10 @t20) (=> (_ @t12 (_ (_ tptp.append2089414218ession @t10) @t20)) @t13))) % 0.47/1.00 (assume @p200 (forall (@list @t11 @t20 @t10) (=> (_ @t12 (_ @t558 @t10)) @t13))) % 0.47/1.00 (assume @p201 (forall (@list @t11 @t20 @t559) (=> (and @t22 (_ @t12 @t559)) (_ @t12 (_ @t558 @t559))))) % 0.47/1.00 (assume @p202 (forall @t555 (= (_ (_ tptp.splice1390717708ession @t291) @t220) (_ @t290 (_ (_ tptp.splice1390717708ession @t220) @t162))))) % 0.47/1.00 (assume @p203 (forall @t552 (= (_ (_ tptp.splice1390717708ession tptp.nil_Se901661471ession) @t220) @t220))) % 0.47/1.00 (assume @p204 (forall @t553 (= (_ (_ tptp.splice_Secrecy_KS tptp.nil_Secrecy_KS) @t166) @t166))) % 0.47/1.00 (assume @p205 (forall @t312 (=> @t157 (=> @t268 (=> (forall @t218 (=> @t311 @t560)) @t263))))) % 0.47/1.00 (assume @p206 (forall @t316 (=> @t164 (=> @t275 (=> (forall @t239 (=> @t315 @t562)) @t270))))) % 0.47/1.00 (assume @p207 (forall (@list @t166 @t563 @t367 @t155) (= (= @t568 @t409) (or (and @t524 (= @t563 @t409)) (exists @t567 (and (= @t166 @t566) (= @t565 @t155))))))) % 0.47/1.00 (assume @p208 (forall (@list @t220 @t510 @t289 @t162) (= (= @t512 @t291) (or (and @t521 (= @t510 @t291)) (exists @t572 (and (= @t220 @t571) (= @t570 @t162))))))) % 0.47/1.00 (assume @p209 (forall (@list @t367 @t155 @t166 @t563) (= (= @t409 @t568) (or (and @t524 (= @t409 @t563)) (exists @t567 (and (= @t566 @t166) (= @t155 @t565))))))) % 0.47/1.00 (assume @p210 (forall (@list @t289 @t162 @t220 @t510) (= @t554 (or (and @t521 (= @t291 @t510)) (exists @t572 (and (= @t571 @t220) (= @t162 @t570))))))) % 0.47/1.00 (assume @p211 (forall @t158 (=> @t157 (not (forall (@list @t168 @t169) (not (= @t155 (_ (_ tptp.append_Secrecy_KS @t168) (_ @t170 tptp.nil_Secrecy_KS))))))))) % 0.47/1.00 (assume @p212 (forall @t165 (=> @t164 (not (forall (@list @t222 @t223) (not (= @t162 (_ (_ tptp.append2089414218ession @t222) (_ @t224 tptp.nil_Se901661471ession))))))))) % 0.47/1.00 (assume @p213 (forall @t269 (=> @t131 (=> (forall @t218 @t560) @t263)))) % 0.47/1.00 (assume @p214 (forall @t276 (=> @t135 (=> (forall @t239 @t562) @t270)))) % 0.47/1.00 (assume @p215 (forall (@list @t415 @t289 @t162) (= (_ @t573 @t291) (_ @t541 (_ @t573 @t162))))) % 0.47/1.00 (assume @p216 (forall @t581 (= @t580 (and (=> @t578 (and @t521 (= @t510 tptp.nil_Se901661471ession))) (=> @t579 (exists (@list @t576 @t458 @t575 @t574) (and (= @t577 (_ (_ tptp.append1105297242ession @t576) (_ (_ tptp.cons_l533358079ession (_ (_ tptp.append2089414218ession @t458) @t575)) @t574))) (= @t220 (_ (_ tptp.append2089414218ession (_ tptp.concat388015140ession @t576)) @t458)) (= @t510 (_ (_ tptp.append2089414218ession @t575) (_ tptp.concat388015140ession @t574)))))))))) % 0.47/1.00 (assume @p217 (forall (@list @t585 @t166 @t563) (= (= (_ tptp.concat_Secrecy_KS @t585) @t568) (and (=> @t586 (and @t524 (= @t563 tptp.nil_Secrecy_KS))) (=> (not @t586) (exists (@list @t584 @t448 @t583 @t582) (and (= @t585 (_ (_ tptp.append1376766698ecy_KS @t584) (_ (_ tptp.cons_list_Secrecy_KS (_ (_ tptp.append_Secrecy_KS @t448) @t583)) @t582))) (= @t166 (_ (_ tptp.append_Secrecy_KS (_ tptp.concat_Secrecy_KS @t584)) @t448)) (= @t563 (_ (_ tptp.append_Secrecy_KS @t583) (_ tptp.concat_Secrecy_KS @t582)))))))))) % 0.47/1.00 (assume @p218 (forall @t587 (= (_ tptp.rotate1_Secrecy_KS @t409) @t537))) % 0.47/1.00 (assume @p219 (forall @t292 (= (_ tptp.rotate1237234450ession @t291) @t540))) % 0.47/1.00 (assume @p220 (forall @t588 (= (_ tptp.butlast_Secrecy_KS @t537) @t155))) % 0.47/1.00 (assume @p221 (forall @t589 (= (_ tptp.butlas171474643ession @t540) @t162))) % 0.47/1.00 (assume @p222 (forall @t165 (= (= @t590 tptp.nil_Se901661471ession) @t163))) % 0.47/1.00 (assume @p223 (forall @t158 (= (= @t591 tptp.nil_Secrecy_KS) @t156))) % 0.47/1.00 (assume @p224 (forall (@list @t138 @t179) (= (_ tptp.concat388015140ession (_ (_ tptp.append1105297242ession @t138) @t179)) (_ (_ tptp.append2089414218ession @t592) (_ tptp.concat388015140ession @t179))))) % 0.47/1.00 (assume @p225 (= (_ tptp.butlas171474643ession tptp.nil_Se901661471ession) tptp.nil_Se901661471ession)) % 0.47/1.00 (assume @p226 (= (_ tptp.butlast_Secrecy_KS tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.00 (assume @p227 (= (_ tptp.rotate1237234450ession tptp.nil_Se901661471ession) tptp.nil_Se901661471ession)) % 0.47/1.00 (assume @p228 (= (_ tptp.rotate1_Secrecy_KS tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.00 (assume @p229 (forall @t588 (and (=> @t156 (= @t594 tptp.nil_Secrecy_KS)) (=> @t157 (= @t594 (_ @t368 @t593)))))) % 0.47/1.00 (assume @p230 (forall @t589 (and (=> @t163 (= @t596 tptp.nil_Se901661471ession)) (=> @t164 (= @t596 (_ @t290 @t595)))))) % 0.47/1.00 (assume @p231 (= (_ tptp.concat388015140ession tptp.nil_li311616943ession) tptp.nil_Se901661471ession)) % 0.47/1.00 (assume @p232 (= (_ tptp.concat_Secrecy_KS tptp.nil_list_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.00 (assume @p233 (forall @t529 (and (=> @t521 (= @t598 @t595)) (=> @t599 (= @t598 (_ @t513 @t597)))))) % 0.47/1.00 (assume @p234 (forall @t530 (and (=> @t524 (= @t601 @t593)) (=> @t602 (= @t601 (_ @t526 @t600)))))) % 0.47/1.00 (assume @p235 (forall (@list @t341 @t138) (= (_ tptp.concat388015140ession (_ (_ tptp.cons_l533358079ession @t341) @t138)) (_ (_ tptp.append2089414218ession @t341) @t592)))) % 0.47/1.00 (assume @p236 (forall @t416 (= (_ @t573 tptp.nil_Se901661471ession) tptp.nil_Se901661471ession))) % 0.47/1.00 (assume @p237 (forall @t418 (= (_ (_ tptp.maps_S399472669ecy_KS @t417) tptp.nil_Se901661471ession) tptp.nil_Secrecy_KS))) % 0.47/1.00 (assume @p238 (forall @t420 (= (_ (_ tptp.maps_S1434541085ession @t419) tptp.nil_Secrecy_KS) tptp.nil_Se901661471ession))) % 0.47/1.00 (assume @p239 (forall @t422 (= (_ (_ tptp.maps_S377605037ecy_KS @t421) tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS))) % 0.47/1.00 (assume @p240 (forall @t581 (=> @t580 (=> @t579 (exists (@list @t606 @t232 @t604 @t603) (and (= @t577 (_ (_ tptp.append1105297242ession @t606) (_ (_ tptp.cons_l533358079ession (_ @t561 @t604)) @t603))) (= @t220 (_ (_ tptp.append2089414218ession (_ tptp.concat388015140ession @t606)) @t232)) (= @t510 (_ @t605 (_ tptp.concat388015140ession @t603))))))))) % 0.47/1.00 (assume @p241 (forall @t158 (=> @t157 (= (_ (_ tptp.append_Secrecy_KS @t593) (_ (_ tptp.cons_Secrecy_KS @t607) tptp.nil_Secrecy_KS)) @t155)))) % 0.47/1.00 (assume @p242 (forall @t165 (=> @t164 (= (_ (_ tptp.append2089414218ession @t595) (_ (_ tptp.cons_S112077679ession @t608) tptp.nil_Se901661471ession)) @t162)))) % 0.47/1.00 (assume @p243 (forall (@list @t155 @t367 @t166) (= (= @t537 @t166) (and @t602 (= @t600 @t155) (= @t609 @t367))))) % 0.47/1.00 (assume @p244 (forall (@list @t162 @t289 @t220) (= (= @t540 @t220) (and @t599 (= @t597 @t162) (= @t610 @t289))))) % 0.47/1.00 (assume @p245 (forall @t588 (= (_ tptp.last_Secrecy_KS @t537) @t367))) % 0.47/1.00 (assume @p246 (forall @t589 (= (_ tptp.last_S1532390982ession @t540) @t289))) % 0.47/1.00 (assume @p247 (forall @t529 @t612)) % 0.47/1.00 (assume @p248 (forall @t530 @t614)) % 0.47/1.00 (assume @p249 (forall @t529 @t615)) % 0.47/1.00 (assume @p250 (forall @t530 @t616)) % 0.47/1.00 (assume @p251 (forall @t588 @t618)) % 0.47/1.00 (assume @p252 (forall @t589 @t620)) % 0.47/1.00 (assume @p253 (forall @t588 @t621)) % 0.47/1.00 (assume @p254 (forall @t589 @t622)) % 0.47/1.00 (assume @p255 (forall @t588 (and @t621 @t618))) % 0.47/1.00 (assume @p256 (forall @t589 (and @t622 @t620))) % 0.47/1.00 (assume @p257 (forall @t529 (and @t615 @t612))) % 0.47/1.00 (assume @p258 (forall @t530 (and @t616 @t614))) % 0.47/1.00 (assume @p259 (forall @t523 (exists (@list @t626 @t604 @t623) (and (= @t162 (_ @t605 @t626)) (= @t220 (_ (_ tptp.append2089414218ession @t623) @t626)) (or @t625 @t624 (not (= (_ tptp.last_S1532390982ession @t604) (_ tptp.last_S1532390982ession @t623)))))))) % 0.47/1.00 (assume @p260 (forall @t528 (exists (@list @t631 @t628 @t627) (and (= @t155 (_ (_ tptp.append_Secrecy_KS @t628) @t631)) (= @t166 (_ (_ tptp.append_Secrecy_KS @t627) @t631)) (or @t630 @t629 (not (= (_ tptp.last_Secrecy_KS @t628) (_ tptp.last_Secrecy_KS @t627)))))))) % 0.47/1.00 (assume @p261 (forall (@list @t21 @t632 @t633) (=> @t637 @t634))) % 0.47/1.00 (assume @p262 (forall (@list @t639 @t638 @t640) (=> @t644 @t641))) % 0.47/1.00 (assume @p263 (forall (@list @t646 @t645 @t647) (=> @t651 @t648))) % 0.47/1.00 (assume @p264 (forall (@list @t653 @t652 @t655) (=> @t659 @t656))) % 0.47/1.00 (assume @p265 (forall (@list @t633 @t21 @t632) (=> @t634 @t637))) % 0.47/1.00 (assume @p266 (forall (@list @t640 @t639 @t638) (=> @t641 @t644))) % 0.47/1.00 (assume @p267 (forall (@list @t647 @t646 @t645) (=> @t648 @t651))) % 0.47/1.00 (assume @p268 (forall (@list @t655 @t653 @t652) (=> @t656 @t659))) % 0.47/1.00 (assume @p269 (forall (@list @t632 @t21) (=> (_ @t660 @t632) (=> (_ @t636 (_ @t635 tptp.nil_Secrecy_Keys)) (_ @t660 (_ (_ tptp.bNF_Gr414702370y_Keys @t632) @t21)))))) % 0.47/1.00 (assume @p270 (forall (@list @t638 @t639) (=> (_ @t661 @t638) (=> (_ @t643 (_ @t642 tptp.nil_Secrecy_Secrets)) (_ @t661 (_ (_ tptp.bNF_Gr28627573ecrets @t638) @t639)))))) % 0.47/1.00 (assume @p271 (forall (@list @t652 @t653) (=> (_ @t663 @t652) (=> (_ @t658 (_ @t657 tptp.nil_Se901661471ession)) (_ @t663 @t662))))) % 0.47/1.00 (assume @p272 (forall (@list @t645 @t646) (=> (_ @t664 @t645) (=> (_ @t650 (_ @t649 tptp.nil_Secrecy_KS)) (_ @t664 (_ (_ tptp.bNF_Gr660123862ecy_KS @t645) @t646)))))) % 0.47/1.00 (assume @p273 (forall (@list @t655 @t652 @t653) (=> (_ (_ tptp.member249235532ession @t655) @t662) (_ (_ tptp.member249235532ession @t665) @t652)))) % 0.47/1.00 (assume @p274 (forall (@list @t652 @t653 @t655) (= (_ (_ tptp.bNF_Gr979629770ession @t662) @t655) (_ @t657 @t665)))) % 0.47/1.00 (assume @p275 (forall (@list @t155 @t287 @t166) (= (= @t666 (_ @t534 @t166)) (= @t155 (_ (_ tptp.append_Secrecy_KS (_ tptp.rev_Secrecy_KS @t166)) @t535))))) % 0.47/1.00 (assume @p276 (forall (@list @t162 @t425 @t220) (= (= @t668 @t429) (= @t162 (_ @t667 @t539))))) % 0.47/1.00 (assume @p277 (_ (_ tptp.monoid929671412ession tptp.append2089414218ession) tptp.nil_Se901661471ession)) % 0.47/1.00 (assume @p278 (_ (_ tptp.monoid1528146052ecy_KS tptp.append_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.00 (assume @p279 (forall @t165 (= (= @t668 tptp.nil_Se901661471ession) @t163))) % 0.47/1.00 (assume @p280 (forall @t158 (= (= @t666 tptp.nil_Secrecy_KS) @t156))) % 0.47/1.00 (assume @p281 (forall @t165 (= (= tptp.nil_Se901661471ession @t668) @t163))) % 0.47/1.00 (assume @p282 (forall @t158 (= (= tptp.nil_Secrecy_KS @t666) @t156))) % 0.47/1.00 (assume @p283 (forall @t523 (= (_ tptp.rev_Se1073238207ession @t514) (_ @t667 @t668)))) % 0.47/1.00 (assume @p284 (forall @t587 (= (= @t369 @t666) @t669))) % 0.47/1.00 (assume @p285 (forall @t292 (= (= @t371 @t668) @t670))) % 0.47/1.00 (assume @p286 (forall @t588 (= (= @t666 @t369) @t669))) % 0.47/1.00 (assume @p287 (forall @t589 (= (= @t668 @t371) @t670))) % 0.47/1.00 (assume @p288 (= (_ tptp.rev_Se1073238207ession tptp.nil_Se901661471ession) tptp.nil_Se901661471ession)) % 0.47/1.00 (assume @p289 (= (_ tptp.rev_Secrecy_KS tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.00 (assume @p290 (forall @t587 (= (_ tptp.rev_Secrecy_KS @t409) (_ (_ tptp.append_Secrecy_KS @t666) @t369)))) % 0.47/1.00 (assume @p291 (forall @t292 (= (_ tptp.rev_Se1073238207ession @t291) (_ (_ tptp.append2089414218ession @t668) @t371)))) % 0.47/1.00 (assume @p292 (forall @t165 (=> @t164 (= (_ tptp.hd_Sec357328890ession @t668) @t608)))) % 0.47/1.00 (assume @p293 (forall @t158 (=> @t157 (= (_ tptp.hd_Secrecy_KS @t666) @t607)))) % 0.47/1.00 (assume @p294 (forall @t523 @t673)) % 0.47/1.00 (assume @p295 (forall @t528 @t676)) % 0.47/1.00 (assume @p296 (forall @t140 (=> @t139 (=> (not (= @t677 tptp.nil_Se901661471ession)) (= (_ tptp.hd_Sec357328890ession @t592) (_ tptp.hd_Sec357328890ession @t677)))))) % 0.47/1.00 (assume @p297 (forall @t145 (=> @t144 (=> (not (= @t678 tptp.nil_Secrecy_KS)) (= (_ tptp.hd_Secrecy_KS (_ tptp.concat_Secrecy_KS @t143)) (_ tptp.hd_Secrecy_KS @t678)))))) % 0.47/1.00 (assume @p298 (forall @t87 (= (_ tptp.hd_Sec357328890ession @t84) @t83))) % 0.47/1.00 (assume @p299 (forall @t523 (exists (@list @t679 @t604 @t623) (and (= @t162 (_ @t680 @t604)) (= @t220 (_ @t680 @t623)) (or @t625 @t624 (not (= (_ tptp.hd_Sec357328890ession @t604) (_ tptp.hd_Sec357328890ession @t623)))))))) % 0.47/1.00 (assume @p300 (forall @t528 (exists (@list @t681 @t628 @t627) (and (= @t155 (_ @t682 @t628)) (= @t166 (_ @t682 @t627)) (or @t630 @t629 (not (= (_ tptp.hd_Secrecy_KS @t628) (_ tptp.hd_Secrecy_KS @t627)))))))) % 0.47/1.00 (assume @p301 (forall @t523 (and (=> @t163 (= @t672 @t683)) @t673))) % 0.47/1.00 (assume @p302 (forall @t528 (and (=> @t156 (= @t675 @t684)) @t676))) % 0.47/1.00 (assume @p303 (forall @t165 (=> @t164 (= (_ tptp.last_S1532390982ession @t668) @t671)))) % 0.47/1.00 (assume @p304 (forall @t158 (=> @t157 (= (_ tptp.last_Secrecy_KS @t666) @t674)))) % 0.47/1.00 (assume @p305 (forall @t158 (=> @t157 (= @t591 (_ @t687 (_ @t685 tptp.nil_Secrecy_KS)))))) % 0.47/1.00 (assume @p306 (forall @t165 (=> @t164 (= @t590 (_ @t690 (_ @t688 tptp.nil_Se901661471ession)))))) % 0.47/1.00 (assume @p307 (forall @t523 (= @t693 (and @t692 @t691 (or @t163 @t521 (not (= @t608 @t683))))))) % 0.47/1.00 (assume @p308 (forall @t528 (= (_ tptp.distin1495927511ecy_KS @t527) (and @t694 (_ tptp.distin1495927511ecy_KS @t166) (or @t156 @t524 (not (= @t607 @t684))))))) % 0.47/1.00 (assume @p309 (forall (@list @t289 @t425 @t162) (= (_ tptp.distin1076152135ession (_ @t290 @t695)) (and (not @t479) (_ tptp.distin1076152135ession @t695))))) % 0.47/1.00 (assume @p310 (forall @t523 (=> @t164 (= (_ tptp.tl_Sec1905266422ession @t514) (_ @t690 @t220))))) % 0.47/1.00 (assume @p311 (forall @t528 (=> @t157 (= (_ tptp.tl_Secrecy_KS @t527) (_ @t687 @t166))))) % 0.47/1.00 (assume @p312 (forall @t699 (=> @t94 (= @t698 @t92)))) % 0.47/1.00 (assume @p313 (forall @t703 (=> @t97 (= @t702 @t95)))) % 0.47/1.00 (assume @p314 (forall @t158 (=> @t157 (= (_ @t685 @t686) @t155)))) % 0.47/1.00 (assume @p315 (forall @t165 (=> @t164 (= (_ @t688 @t689) @t162)))) % 0.47/1.00 (assume @p316 (forall (@list @t95 @t704) (=> (= @t96 @t705) (=> (=> @t97 (=> (not @t705) (and (= @t701 (_ tptp.hd_Sec357328890ession @t704)) (= @t700 (_ tptp.tl_Sec1905266422ession @t704))))) (= @t95 @t704))))) % 0.47/1.00 (assume @p317 (forall (@list @t92 @t706) (=> (= @t93 @t707) (=> (=> @t94 (=> (not @t707) (and (= @t697 (_ tptp.hd_Secrecy_KS @t706)) (= @t696 (_ tptp.tl_Secrecy_KS @t706))))) (= @t92 @t706))))) % 0.47/1.00 (assume @p318 (forall @t370 (_ tptp.distin1495927511ecy_KS @t369))) % 0.47/1.00 (assume @p319 (forall @t372 (_ tptp.distin1076152135ession @t371))) % 0.47/1.00 (assume @p320 (forall @t158 (= @t709 @t708))) % 0.47/1.00 (assume @p321 (forall @t165 (= @t711 @t710))) % 0.47/1.00 (assume @p322 (forall @t158 (= (= tptp.nil_Secrecy_KS @t686) @t708))) % 0.47/1.00 (assume @p323 (forall @t165 (= (= tptp.nil_Se901661471ession @t689) @t710))) % 0.47/1.00 (assume @p324 (forall @t292 (=> @t712 @t692))) % 0.47/1.00 (assume @p325 (_ tptp.distin1076152135ession tptp.nil_Se901661471ession)) % 0.47/1.00 (assume @p326 (_ tptp.distin1495927511ecy_KS tptp.nil_Secrecy_KS)) % 0.47/1.00 (assume @p327 (forall @t87 (= (_ tptp.tl_Sec1905266422ession @t84) @t81))) % 0.47/1.00 (assume @p328 (= (_ tptp.tl_Sec1905266422ession tptp.nil_Se901661471ession) tptp.nil_Se901661471ession)) % 0.47/1.00 (assume @p329 (= (_ tptp.tl_Secrecy_KS tptp.nil_Secrecy_KS) tptp.nil_Secrecy_KS)) % 0.47/1.00 (assume @p330 (forall @t523 (=> @t693 @t692))) % 0.47/1.00 (assume @p331 (forall @t523 (=> @t693 @t691))) % 0.47/1.00 (assume @p332 (forall @t165 (=> (or @t163 (not @t711)) (= (_ tptp.last_S1532390982ession @t689) @t608)))) % 0.47/1.00 (assume @p333 (forall @t158 (=> (or @t156 (not @t709)) (= (_ tptp.last_Secrecy_KS @t686) @t607)))) % 0.47/1.00 (assume @p334 (forall @t699 (=> @t94 (= @t92 @t698)))) % 0.47/1.00 (assume @p335 (forall @t703 (=> @t97 (= @t95 @t702)))) % 0.47/1.00 (assume @p336 (forall @t587 (= (_ tptp.distin1495927511ecy_KS @t409) (or @t156 (and (not (= @t367 @t674)) @t694))))) % 0.47/1.00 (assume @p337 (forall @t292 (= @t712 (or @t163 (and (not (= @t289 @t671)) @t692))))) % 0.47/1.00 (assume @p338 (forall (@list @t713 @t162 @t220) (= (_ @t714 @t514) (and (_ @t714 @t162) (_ @t714 @t220) (or @t163 @t521 (_ (_ @t713 @t608) @t683)))))) % 0.47/1.00 (assume @p339 (forall (@list @t715 @t155 @t166) (= (_ @t716 @t527) (and (_ @t716 @t155) (_ @t716 @t166) (or @t156 @t524 (_ (_ @t715 @t607) @t684)))))) % 0.47/1.00 (assume @p340 (forall (@list @t719 @t563 @t155 @t166) (= (_ (_ tptp.member193705948ecy_KS (_ (_ tptp.cons_Secrecy_KS @t719) @t563)) @t720) (or (and @t157 (= @t674 @t719) (_ @t718 (_ (_ tptp.shuffles_Secrecy_KS @t686) @t166))) (and @t602 (= @t684 @t719) (_ @t718 (_ @t717 (_ tptp.tl_Secrecy_KS @t166)))))))) % 0.47/1.00 (assume @p341 (forall (@list @t723 @t510 @t162 @t220) (= (_ (_ tptp.member249235532ession (_ (_ tptp.cons_S112077679ession @t723) @t510)) @t724) (or (and @t164 (= @t671 @t723) (_ @t722 (_ (_ tptp.shuffl552897610ession @t689) @t220))) (and @t599 (= @t683 @t723) (_ @t722 (_ @t721 (_ tptp.tl_Sec1905266422ession @t220)))))))) % 0.47/1.00 (assume @p342 (forall @t523 (= (_ @t663 @t724) @t522))) % 0.47/1.00 (assume @p343 (forall @t528 (= (_ @t664 @t720) @t525))) % 0.47/1.00 (assume @p344 (forall (@list @t563 @t155 @t166) (=> (_ @t718 @t720) (=> (=> (= @t563 @t155) @t602) (=> (=> (= @t563 @t166) @t157) (=> (forall (@list @t209 @t628) (=> (= @t155 (_ @t210 @t628)) (forall @t729 (=> @t728 (=> (= @t209 @t727) (not (_ @t726 (_ (_ tptp.shuffles_Secrecy_KS @t628) @t166)))))))) (not (forall (@list @t169 @t627) (=> (= @t166 (_ @t170 @t627)) (forall @t729 (=> @t728 (=> (= @t169 @t727) (not (_ @t726 (_ @t717 @t627))))))))))))))) % 0.47/1.00 (assume @p345 (forall (@list @t510 @t162 @t220) (=> (_ @t722 @t724) (=> (=> (= @t510 @t162) @t599) (=> (=> (= @t510 @t220) @t164) (=> (forall (@list @t233 @t604) (=> (= @t162 (_ @t234 @t604)) (forall @t734 (=> @t733 (=> (= @t233 @t732) (not (_ @t731 (_ (_ tptp.shuffl552897610ession @t604) @t220)))))))) (not (forall (@list @t223 @t623) (=> (= @t220 (_ @t224 @t623)) (forall @t734 (=> @t733 (=> (= @t223 @t732) (not (_ @t731 (_ @t721 @t623))))))))))))))) % 0.47/1.00 (assume @p346 @t738) % 0.47/1.00 (assume @p347 true) % 0.47/1.00 (step @p348 (= tptp.knowle1268625169orrect @t743) :rule refl :args (@t743)) % 0.47/1.00 (step @p349 (= tptp.notSpe1586871396tsExpr @t747) :rule refl :args (@t747)) % 0.47/1.00 (step @p350 (= tptp.concat388015140ession @t749) :rule refl :args (@t749)) % 0.47/1.00 (step @p351 (= tptp.concat_Secrecy_KS @t751) :rule refl :args (@t751)) % 0.47/1.00 (step @p352 :rule refl :args ((tptp.knowle731562421_knows tptp.a @t2))) % 0.47/1.00 (step @p353 :rule refl :args ((tptp.cons_S112077679ession @t1 tptp.nil_Se901661471ession))) % 0.47/1.00 (step @p354 :rule refl :args (tptp.nil_Se901661471ession)) % 0.47/1.00 (step @p355 :rule refl :args (@t752)) % 0.47/1.00 (step @p356 :rule cong :premises (@p355 @p354) :args (@t753)) % 0.47/1.00 (step @p357 :rule trans :premises (@p356 @p353)) % 0.47/1.00 (step @p358 :rule refl :args (tptp.a)) % 0.47/1.00 (step @p359 :rule cong :premises (@p358 @p357) :args (@t754)) % 0.47/1.00 (step @p360 :rule trans :premises (@p359 @p352)) % 0.47/1.00 (step @p361 :rule refl :args (@t3)) % 0.47/1.00 (step @p362 :rule ho_cong :premises (@p361 @p357)) % 0.47/1.00 (step @p363 :rule cong :premises (@p362 @p360) :args ((= (_ @t3 @t753) @t754))) % 0.47/1.00 (step @p364 :rule symm :premises (@p363)) % 0.47/1.00 (step @p365 :rule refl :args (@t4)) % 0.47/1.00 (step @p366 :rule eq_resolve :premises (@p365 @p364)) % 0.47/1.00 (step @p367 :rule refl :args (tptp.cons_S112077679ession)) % 0.47/1.00 (step @p368 :rule ho_cong :premises (@p367 @p355)) % 0.47/1.00 (step @p369 :rule ho_cong :premises (@p368 @p354)) % 0.47/1.00 (step @p370 :rule cong :premises (@p369 @p357) :args ((= (_ (_ tptp.cons_S112077679ession @t752) tptp.nil_Se901661471ession) @t753))) % 0.47/1.00 (step @p371 :rule symm :premises (@p370)) % 0.47/1.00 (step @p372 :rule refl :args (@t2)) % 0.47/1.00 (step @p373 :rule eq_resolve :premises (@p372 @p371)) % 0.47/1.00 (step @p374 :rule refl :args (tptp.nil_Se901661471ession)) % 0.47/1.00 (step @p375 :rule refl :args (@t1)) % 0.47/1.00 (step @p376 :rule cong :premises (@p375 @p355) :args ((= @t1 @t752))) % 0.47/1.00 (step @p377 :rule symm :premises (@p376)) % 0.47/1.00 (step @p378 :rule eq_resolve :premises (@p375 @p377)) % 0.47/1.00 (step @p379 :rule refl :args (tptp.cons_S112077679ession)) % 0.47/1.00 (step @p380 :rule ho_cong :premises (@p379 @p378)) % 0.47/1.00 (step @p381 :rule ho_cong :premises (@p380 @p374)) % 0.47/1.00 (step @p382 :rule trans :premises (@p381 @p373)) % 0.47/1.00 (step @p383 :rule refl :args (@t3)) % 0.47/1.00 (step @p384 :rule ho_cong :premises (@p383 @p382)) % 0.47/1.00 (step @p385 :rule trans :premises (@p384 @p366)) % 0.47/1.00 (step @p386 :rule eq_resolve :premises (@p1 @p385)) % 0.47/1.00 (step @p387 :rule refl :args ((tptp.secrec1016742679ession @t27))) % 0.47/1.00 (step @p388 :rule refl :args (@t755)) % 0.47/1.00 (step @p389 :rule cong :premises (@p388) :args (@t756)) % 0.47/1.00 (step @p390 :rule trans :premises (@p389 @p387)) % 0.47/1.00 (step @p391 :rule refl :args (tptp.secrec1016742679ession)) % 0.47/1.00 (step @p392 :rule ho_cong :premises (@p391 @p388)) % 0.47/1.00 (step @p393 :rule cong :premises (@p392 @p390) :args ((= (_ tptp.secrec1016742679ession @t755) @t756))) % 0.47/1.00 (step @p394 :rule symm :premises (@p393)) % 0.47/1.00 (step @p395 :rule refl :args (@t52)) % 0.47/1.00 (step @p396 :rule eq_resolve :premises (@p395 @p394)) % 0.47/1.00 (step @p397 :rule refl :args (@t27)) % 0.47/1.00 (step @p398 :rule cong :premises (@p397 @p388) :args ((= @t27 @t755))) % 0.47/1.00 (step @p399 :rule symm :premises (@p398)) % 0.47/1.00 (step @p400 :rule eq_resolve :premises (@p397 @p399)) % 0.47/1.00 (step @p401 :rule ho_cong :premises (@p391 @p400)) % 0.47/1.00 (step @p402 :rule trans :premises (@p401 @p396)) % 0.47/1.00 (step @p403 :rule refl :args (@t757)) % 0.47/1.00 (step @p404 :rule refl :args (@t26)) % 0.47/1.00 (step @p405 :rule cong :premises (@p404 @p403) :args ((= @t26 @t757))) % 0.47/1.00 (step @p406 :rule symm :premises (@p405)) % 0.47/1.00 (step @p407 :rule eq_resolve :premises (@p404 @p406)) % 0.47/1.00 (step @p408 :rule cong :premises (@p407 @p402) :args (@t758)) % 0.47/1.00 (step @p409 :rule cong :premises (@p408) :args ((forall @t53 @t758))) % 0.47/1.00 (step @p410 :rule eq-symm :args (@t52 @t26)) % 0.47/1.00 (step @p411 :rule cong :premises (@p410) :args (@t54)) % 0.47/1.00 (step @p412 :rule trans :premises (@p411 @p409)) % 0.47/1.00 (step @p413 :rule eq_resolve :premises (@p14 @p412)) % 0.47/1.00 (step @p414 :rule instantiate :premises (@p413) :args ((@list tptp.m))) % 0.47/1.00 (step @p415 :rule refl :args ((tptp.knowle945212990e_know @t32 @t31))) % 0.47/1.00 (step @p416 :rule refl :args (@t759)) % 0.47/1.00 (step @p417 :rule refl :args (@t32)) % 0.47/1.00 (step @p418 :rule cong :premises (@p417 @p416) :args (@t760)) % 0.47/1.00 (step @p419 :rule trans :premises (@p418 @p415)) % 0.47/1.00 (step @p420 :rule refl :args (@t33)) % 0.47/1.00 (step @p421 :rule ho_cong :premises (@p420 @p416)) % 0.47/1.00 (step @p422 :rule cong :premises (@p421 @p419) :args ((= (_ @t33 @t759) @t760))) % 0.47/1.00 (step @p423 :rule symm :premises (@p422)) % 0.47/1.00 (step @p424 :rule refl :args (@t34)) % 0.47/1.00 (step @p425 :rule eq_resolve :premises (@p424 @p423)) % 0.47/1.00 (step @p426 :rule refl :args (@t31)) % 0.47/1.00 (step @p427 :rule cong :premises (@p426 @p416) :args ((= @t31 @t759))) % 0.47/1.00 (step @p428 :rule symm :premises (@p427)) % 0.47/1.00 (step @p429 :rule eq_resolve :premises (@p426 @p428)) % 0.47/1.00 (step @p430 :rule ho_cong :premises (@p420 @p429)) % 0.47/1.00 (step @p431 :rule trans :premises (@p430 @p425)) % 0.47/1.00 (step @p432 :rule refl :args ((tptp.knowle731562421_knows @t32 @t36))) % 0.47/1.00 (step @p433 :rule refl :args ((tptp.cons_S112077679ession @t35 tptp.nil_Se901661471ession))) % 0.47/1.00 (step @p434 :rule refl :args ((tptp.secrec1016742679ession @t31))) % 0.47/1.00 (step @p435 :rule cong :premises (@p416) :args (@t761)) % 0.47/1.00 (step @p436 :rule trans :premises (@p435 @p434)) % 0.47/1.00 (step @p437 :rule cong :premises (@p436 @p354) :args (@t762)) % 0.47/1.00 (step @p438 :rule trans :premises (@p437 @p433)) % 0.47/1.00 (step @p439 :rule cong :premises (@p417 @p438) :args (@t763)) % 0.47/1.00 (step @p440 :rule trans :premises (@p439 @p432)) % 0.47/1.00 (step @p441 :rule refl :args (@t37)) % 0.47/1.00 (step @p442 :rule ho_cong :premises (@p441 @p438)) % 0.47/1.00 (step @p443 :rule cong :premises (@p442 @p440) :args ((= (_ @t37 @t762) @t763))) % 0.47/1.00 (step @p444 :rule symm :premises (@p443)) % 0.47/1.00 (step @p445 :rule refl :args (@t38)) % 0.47/1.00 (step @p446 :rule eq_resolve :premises (@p445 @p444)) % 0.47/1.00 (step @p447 :rule ho_cong :premises (@p367 @p436)) % 0.47/1.00 (step @p448 :rule ho_cong :premises (@p447 @p354)) % 0.47/1.00 (step @p449 :rule cong :premises (@p448 @p438) :args ((= (_ (_ tptp.cons_S112077679ession @t761) tptp.nil_Se901661471ession) @t762))) % 0.47/1.00 (step @p450 :rule symm :premises (@p449)) % 0.47/1.00 (step @p451 :rule refl :args (@t36)) % 0.47/1.00 (step @p452 :rule eq_resolve :premises (@p451 @p450)) % 0.47/1.00 (step @p453 :rule ho_cong :premises (@p391 @p416)) % 0.47/1.00 (step @p454 :rule cong :premises (@p453 @p436) :args ((= (_ tptp.secrec1016742679ession @t759) @t761))) % 0.47/1.00 (step @p455 :rule symm :premises (@p454)) % 0.47/1.00 (step @p456 :rule refl :args (@t35)) % 0.47/1.00 (step @p457 :rule eq_resolve :premises (@p456 @p455)) % 0.47/1.00 (step @p458 :rule ho_cong :premises (@p391 @p429)) % 0.47/1.00 (step @p459 :rule trans :premises (@p458 @p457)) % 0.47/1.00 (step @p460 :rule ho_cong :premises (@p367 @p459)) % 0.47/1.00 (step @p461 :rule ho_cong :premises (@p460 @p354)) % 0.47/1.00 (step @p462 :rule trans :premises (@p461 @p452)) % 0.47/1.00 (step @p463 :rule ho_cong :premises (@p441 @p462)) % 0.47/1.00 (step @p464 :rule trans :premises (@p463 @p446)) % 0.47/1.00 (step @p465 :rule cong :premises (@p464 @p431) :args (@t39)) % 0.47/1.00 (step @p466 :rule cong :premises (@p465) :args (@t41)) % 0.47/1.00 (step @p467 :rule eq_resolve :premises (@p8 @p466)) % 0.47/1.00 (step @p468 :rule eq-symm :args (@t767 @t768)) % 0.47/1.00 (step @p469 :rule refl :args (@t769)) % 0.47/1.00 (step @p470 :rule cong :premises (@p469 @p468) :args ((=> @t769 @t770))) % 0.47/1.00 (assume-push @p517 @t769) % 0.47/1.00 (step @p472 :rule instantiate :premises (@p467) :args ((@list tptp.a tptp.m))) % 0.47/1.00 (step-pop @p518 :rule scope :premises (@p472)) % 0.47/1.00 (step @p473 :rule process_scope :premises (@p518) :args (@t770)) % 0.47/1.00 (step @p475 :rule eq_resolve :premises (@p473 @p470)) % 0.47/1.00 (step @p476 :rule implies_elim :premises (@p475)) % 0.47/1.00 (step @p477 :rule chain_m_resolution :premises (@p476 @p467) :args (@t771 (@list false) (@list @t769))) % 0.47/1.00 (step @p478 :rule refl :args ((tptp.knowle945212990e_know tptp.a @t735))) % 0.47/1.00 (step @p479 :rule refl :args (@t764)) % 0.47/1.00 (step @p480 :rule cong :premises (@p358 @p479) :args (@t768)) % 0.47/1.00 (step @p481 :rule trans :premises (@p480 @p478)) % 0.47/1.00 (step @p482 :rule refl :args (@t736)) % 0.47/1.00 (step @p483 :rule ho_cong :premises (@p482 @p479)) % 0.47/1.00 (step @p484 :rule cong :premises (@p483 @p481) :args ((= (_ @t736 @t764) @t768))) % 0.47/1.00 (step @p485 :rule symm :premises (@p484)) % 0.47/1.00 (step @p486 :rule refl :args (@t737)) % 0.47/1.00 (step @p487 :rule eq_resolve :premises (@p486 @p485)) % 0.47/1.00 (step @p488 :rule refl :args (@t735)) % 0.47/1.00 (step @p489 :rule cong :premises (@p488 @p479) :args ((= @t735 @t764))) % 0.47/1.00 (step @p490 :rule symm :premises (@p489)) % 0.47/1.00 (step @p491 :rule eq_resolve :premises (@p488 @p490)) % 0.47/1.00 (step @p492 :rule refl :args (@t736)) % 0.47/1.00 (step @p493 :rule ho_cong :premises (@p492 @p491)) % 0.47/1.00 (step @p494 :rule trans :premises (@p493 @p487)) % 0.47/1.00 (step @p495 :rule cong :premises (@p494) :args (@t738)) % 0.47/1.00 (step @p496 :rule eq_resolve :premises (@p346 @p495)) % 0.47/1.00 (step @p497 :rule cnf_equiv_pos2 :args (@t771)) % 0.47/1.00 (step @p498 :rule reordering :premises (@p497) :args ((or @t768 @t772 (not @t771)))) % 0.47/1.00 (step @p499 :rule chain_m_resolution :premises (@p498 @p496 @p477) :args (@t772 (@list true false) (@list @t768 @t771))) % 0.47/1.00 (assume-push @p519 @t754) % 0.47/1.00 (assume-push @p520 @t773) % 0.47/1.00 (step @p502 :rule true_intro :premises (@p386)) % 0.47/1.00 (step @p503 :rule symm :premises (@p414)) % 0.47/1.00 (step @p504 :rule cong :premises (@p503 @p374) :args (@t766)) % 0.47/1.00 (step @p505 :rule refl :args (tptp.a)) % 0.47/1.00 (step @p506 :rule cong :premises (@p505 @p504) :args (@t767)) % 0.47/1.00 (step @p507 :rule trans :premises (@p506 @p502)) % 0.47/1.00 (step @p508 :rule true_elim :premises (@p507)) % 0.47/1.00 (step-pop @p521 :rule scope :premises (@p508)) % 0.47/1.00 (step-pop @p522 :rule scope :premises (@p521)) % 0.47/1.00 (step @p509 :rule process_scope :premises (@p522) :args (@t767)) % 0.47/1.00 (step @p512 :rule implies_elim :premises (@p509)) % 0.47/1.00 (step @p513 :rule cnf_and_neg :args (@t774)) % 0.47/1.00 (step @p514 :rule resolution :premises (@p513 @p512) :args (true @t774)) % 0.47/1.00 (step @p515 :rule reordering :premises (@p514) :args ((or (not @t754) @t767 (not @t773)))) % 0.47/1.00 (step @p516 false :rule chain_m_resolution :premises (@p515 @p499 @p414 @p386) :args (false (@list true false false) (@list @t767 @t773 @t754))) % 0.47/1.00 ) % 0.47/1.00 % SZS output end Proof % 0.47/1.00 % cvc5 exiting %------------------------------------------------------------------------------