TSTP Solution File: SWV296-1 by CSE_E---1.5
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%------------------------------------------------------------------------------
% File : CSE_E---1.5
% Problem : SWV296-1 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n005.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 : Thu Aug 31 21:37:38 EDT 2023
% Result : Unsatisfiable 105.18s 105.92s
% Output : CNFRefutation 105.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 272
% Syntax : Number of formulae : 366 ( 32 unt; 244 typ; 0 def)
% Number of atoms : 259 ( 99 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 212 ( 75 ~; 137 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 446 ( 206 >; 240 *; 0 +; 0 <<)
% Number of predicates : 83 ( 81 usr; 1 prp; 0-3 aty)
% Number of functors : 163 ( 163 usr; 38 con; 0-6 aty)
% Number of variables : 112 ( 26 sgn; 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
tff(decl_22,type,
c_Datatype__Universe_OLeaf: ( $i * $i * $i ) > $i ).
tff(decl_23,type,
c_Datatype__Universe_ONumb: ( $i * $i * $i ) > $i ).
tff(decl_24,type,
c_Datatype__Universe_Odprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_25,type,
tc_Datatype__Universe_Onode: ( $i * $i ) > $i ).
tff(decl_26,type,
tc_set: $i > $i ).
tff(decl_27,type,
tc_prod: ( $i * $i ) > $i ).
tff(decl_28,type,
c_in: ( $i * $i * $i ) > $o ).
tff(decl_29,type,
c_Main_OdprodE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_30,type,
c_Main_OdprodE__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_31,type,
c_Datatype__Universe_OScons: ( $i * $i * $i * $i ) > $i ).
tff(decl_32,type,
c_Main_OdprodE__3: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_33,type,
c_Main_OdprodE__4: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_34,type,
c_Pair: ( $i * $i * $i * $i ) > $i ).
tff(decl_35,type,
c_Datatype__Universe_Odsum: ( $i * $i * $i * $i ) > $i ).
tff(decl_36,type,
c_Main_OdsumE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_37,type,
c_Datatype__Universe_OIn0: ( $i * $i * $i ) > $i ).
tff(decl_38,type,
c_Main_OdsumE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_39,type,
c_Main_OdsumE__3: ( $i * $i * $i * $i ) > $i ).
tff(decl_40,type,
c_Datatype__Universe_OIn1: ( $i * $i * $i ) > $i ).
tff(decl_41,type,
c_Main_OdsumE__4: ( $i * $i * $i * $i ) > $i ).
tff(decl_42,type,
c_Datatype__Universe_Ouprod: ( $i * $i * $i * $i ) > $i ).
tff(decl_43,type,
c_Main_OuprodE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_44,type,
c_Main_OuprodE__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_45,type,
c_Datatype__Universe_Ousum: ( $i * $i * $i * $i ) > $i ).
tff(decl_46,type,
c_Main_OusumE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_47,type,
c_Main_OusumE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_48,type,
c_0: $i ).
tff(decl_49,type,
tc_nat: $i ).
tff(decl_50,type,
c_Divides_Oop_Advd: ( $i * $i * $i ) > $o ).
tff(decl_51,type,
c_Suc: $i > $i ).
tff(decl_52,type,
c_times: ( $i * $i * $i ) > $i ).
tff(decl_53,type,
c_Divides_Oop_Amod: ( $i * $i * $i ) > $i ).
tff(decl_54,type,
c_Main_Omod__eq__0D__dest__1: ( $i * $i ) > $i ).
tff(decl_55,type,
c_emptyset: $i ).
tff(decl_56,type,
c_Finite__Set_OFinites: $i ).
tff(decl_57,type,
c_insert: ( $i * $i * $i ) > $i ).
tff(decl_58,type,
c_inter: ( $i * $i * $i ) > $i ).
tff(decl_59,type,
c_Main_Ofinite__Union__1: ( $i * $i ) > $i ).
tff(decl_60,type,
c_Union: ( $i * $i ) > $i ).
tff(decl_61,type,
c_GCD_Ogcd: $i > $i ).
tff(decl_62,type,
c_Infinite__Set_Oatmost__one: ( $i * $i ) > $o ).
tff(decl_63,type,
c_IntDef_Oint: $i > $i ).
tff(decl_64,type,
tc_IntDef_Oint: $i ).
tff(decl_65,type,
c_uminus: ( $i * $i ) > $i ).
tff(decl_66,type,
c_lessequals: ( $i * $i * $i ) > $o ).
tff(decl_67,type,
c_less: ( $i * $i * $i ) > $o ).
tff(decl_68,type,
c_1: $i ).
tff(decl_69,type,
c_Main_Ozmod__eq__0D__dest__1: ( $i * $i ) > $i ).
tff(decl_70,type,
c_List_Oremdups: ( $i * $i ) > $i ).
tff(decl_71,type,
c_List_Odistinct: ( $i * $i ) > $o ).
tff(decl_72,type,
c_List_Oset: ( $i * $i ) > $i ).
tff(decl_73,type,
c_List_Olists: ( $i * $i ) > $i ).
tff(decl_74,type,
tc_List_Olist: $i > $i ).
tff(decl_75,type,
c_Main_Oin__listsI__1: ( $i * $i * $i ) > $i ).
tff(decl_76,type,
c_Nat_Osize: ( $i * $i ) > $i ).
tff(decl_77,type,
c_List_Olist_OCons: ( $i * $i * $i ) > $i ).
tff(decl_78,type,
c_List_Olistrel: ( $i * $i ) > $i ).
tff(decl_79,type,
c_Main_Olistrel__Cons1__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_80,type,
c_Main_Olistrel__Cons1__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_81,type,
c_Main_Olistrel__Cons2__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_82,type,
c_Main_Olistrel__Cons2__2: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_83,type,
c_List_Olist_ONil: $i ).
tff(decl_84,type,
c_Wellfounded__Recursion_Owf: ( $i * $i ) > $o ).
tff(decl_85,type,
c_List_Olenlex: ( $i * $i ) > $i ).
tff(decl_86,type,
c_List_Olex: ( $i * $i ) > $i ).
tff(decl_87,type,
class_Orderings_Oorder: $i > $o ).
tff(decl_88,type,
c_Relation_ODomain: ( $i * $i * $i ) > $i ).
tff(decl_89,type,
c_Main_ODomainE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_90,type,
c_Relation_OId: $i ).
tff(decl_91,type,
c_Main_OIdE__1: ( $i * $i ) > $i ).
tff(decl_92,type,
c_Relation_OImage: ( $i * $i * $i * $i ) > $i ).
tff(decl_93,type,
c_Main_OImageE__1: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_94,type,
c_Relation_ORange: ( $i * $i * $i ) > $i ).
tff(decl_95,type,
c_Main_ORangeE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_96,type,
c_Relation_Oconverse: ( $i * $i * $i ) > $i ).
tff(decl_97,type,
c_Main_OconverseE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_98,type,
c_Main_OconverseE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_99,type,
c_Relation_Odiag: ( $i * $i ) > $i ).
tff(decl_100,type,
c_Main_OdiagE__1: ( $i * $i * $i ) > $i ).
tff(decl_101,type,
c_Relation_Orel__comp: ( $i * $i * $i * $i * $i ) > $i ).
tff(decl_102,type,
c_Main_Orel__compE__2: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_103,type,
c_Main_Orel__compE__3: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_104,type,
c_Main_Orel__compE__1: ( $i * $i * $i * $i * $i * $i ) > $i ).
tff(decl_105,type,
c_SetInterval_OatLeastAtMost: ( $i * $i * $i ) > $i ).
tff(decl_106,type,
c_SetInterval_OatLeastLessThan: ( $i * $i * $i ) > $i ).
tff(decl_107,type,
c_SetInterval_OatMost: ( $i * $i ) > $i ).
tff(decl_108,type,
c_SetInterval_OgreaterThanAtMost: ( $i * $i * $i ) > $i ).
tff(decl_109,type,
c_SetInterval_OgreaterThanLessThan: ( $i * $i * $i ) > $i ).
tff(decl_110,type,
c_SetInterval_OlessThan: ( $i * $i ) > $i ).
tff(decl_111,type,
c_Inter: ( $i * $i ) > $i ).
tff(decl_112,type,
c_Main_OInterI__1: ( $i * $i * $i ) > $i ).
tff(decl_113,type,
c_UNIV: $i ).
tff(decl_114,type,
c_Main_OUnionE__1: ( $i * $i * $i ) > $i ).
tff(decl_115,type,
c_Main_OsubsetI__1: ( $i * $i * $i ) > $i ).
tff(decl_116,type,
c_Sum__Type_OInl: ( $i * $i * $i ) > $i ).
tff(decl_117,type,
c_Sum__Type_OPlus: ( $i * $i * $i * $i ) > $i ).
tff(decl_118,type,
tc_sum: ( $i * $i ) > $i ).
tff(decl_119,type,
c_Sum__Type_OInr: ( $i * $i * $i ) > $i ).
tff(decl_120,type,
c_Main_OPlusE__1: ( $i * $i * $i * $i ) > $i ).
tff(decl_121,type,
c_Main_OPlusE__2: ( $i * $i * $i * $i ) > $i ).
tff(decl_122,type,
c_Transitive__Closure_Ortrancl: ( $i * $i ) > $i ).
tff(decl_123,type,
c_Transitive__Closure_Otrancl: ( $i * $i ) > $i ).
tff(decl_124,type,
c_Wellfounded__Relations_Oless__than: $i ).
tff(decl_125,type,
c_Relation_Otrans: ( $i * $i ) > $o ).
tff(decl_126,type,
c_Wellfounded__Relations_Olex__prod: ( $i * $i * $i * $i ) > $i ).
tff(decl_127,type,
tc_Datatype_Ooption: $i > $i ).
tff(decl_128,type,
class_Finite__Set_Ofinite: $i > $o ).
tff(decl_129,type,
class_HOL_Ominus: $i > $o ).
tff(decl_130,type,
class_HOL_Oone: $i > $o ).
tff(decl_131,type,
class_Ring__and__Field_Osemiring: $i > $o ).
tff(decl_132,type,
class_Ring__and__Field_Ocomm__semiring: $i > $o ).
tff(decl_133,type,
class_OrderedGroup_Ocomm__monoid__add: $i > $o ).
tff(decl_134,type,
class_Ring__and__Field_Osemiring__0: $i > $o ).
tff(decl_135,type,
class_Ring__and__Field_Ocomm__semiring__0: $i > $o ).
tff(decl_136,type,
class_OrderedGroup_Ocancel__semigroup__add: $i > $o ).
tff(decl_137,type,
class_OrderedGroup_Ocancel__ab__semigroup__add: $i > $o ).
tff(decl_138,type,
class_OrderedGroup_Oab__group__add: $i > $o ).
tff(decl_139,type,
class_Ring__and__Field_Osemiring__0__cancel: $i > $o ).
tff(decl_140,type,
class_Ring__and__Field_Oring: $i > $o ).
tff(decl_141,type,
class_HOL_Oplus: $i > $o ).
tff(decl_142,type,
class_Ring__and__Field_Ocomm__semiring__0__cancel: $i > $o ).
tff(decl_143,type,
class_Ring__and__Field_Ocomm__ring: $i > $o ).
tff(decl_144,type,
class_Ring__and__Field_Oaxclass__0__neq__1: $i > $o ).
tff(decl_145,type,
class_OrderedGroup_Omonoid__mult: $i > $o ).
tff(decl_146,type,
class_OrderedGroup_Ocomm__monoid__mult: $i > $o ).
tff(decl_147,type,
class_Ring__and__Field_Osemiring__1: $i > $o ).
tff(decl_148,type,
class_Ring__and__Field_Ocomm__semiring__1: $i > $o ).
tff(decl_149,type,
class_Ring__and__Field_Osemiring__1__cancel: $i > $o ).
tff(decl_150,type,
class_Ring__and__Field_Oring__1: $i > $o ).
tff(decl_151,type,
class_Ring__and__Field_Ocomm__semiring__1__cancel: $i > $o ).
tff(decl_152,type,
class_HOL_Otimes: $i > $o ).
tff(decl_153,type,
class_Ring__and__Field_Ocomm__ring__1: $i > $o ).
tff(decl_154,type,
class_LOrder_Omeet__semilorder: $i > $o ).
tff(decl_155,type,
class_LOrder_Ojoin__semilorder: $i > $o ).
tff(decl_156,type,
class_LOrder_Olorder: $i > $o ).
tff(decl_157,type,
class_Orderings_Olinorder: $i > $o ).
tff(decl_158,type,
class_OrderedGroup_Opordered__ab__semigroup__add: $i > $o ).
tff(decl_159,type,
class_OrderedGroup_Opordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_160,type,
class_OrderedGroup_Opordered__ab__semigroup__add__imp__le: $i > $o ).
tff(decl_161,type,
class_OrderedGroup_Oordered__cancel__ab__semigroup__add: $i > $o ).
tff(decl_162,type,
class_HOL_Ozero: $i > $o ).
tff(decl_163,type,
class_Ring__and__Field_Opordered__semiring: $i > $o ).
tff(decl_164,type,
class_Ring__and__Field_Opordered__cancel__semiring: $i > $o ).
tff(decl_165,type,
class_Ring__and__Field_Oordered__semiring__strict: $i > $o ).
tff(decl_166,type,
class_Ring__and__Field_Opordered__comm__semiring: $i > $o ).
tff(decl_167,type,
class_Ring__and__Field_Opordered__cancel__comm__semiring: $i > $o ).
tff(decl_168,type,
class_Ring__and__Field_Oordered__comm__semiring__strict: $i > $o ).
tff(decl_169,type,
class_Ring__and__Field_Oaxclass__abs__if: $i > $o ).
tff(decl_170,type,
class_OrderedGroup_Opordered__ab__group__add: $i > $o ).
tff(decl_171,type,
class_OrderedGroup_Olordered__ab__group: $i > $o ).
tff(decl_172,type,
class_Ring__and__Field_Opordered__ring: $i > $o ).
tff(decl_173,type,
class_Orderings_Oord: $i > $o ).
tff(decl_174,type,
class_OrderedGroup_Olordered__ab__group__abs: $i > $o ).
tff(decl_175,type,
class_OrderedGroup_Olordered__ab__group__meet: $i > $o ).
tff(decl_176,type,
class_OrderedGroup_Olordered__ab__group__join: $i > $o ).
tff(decl_177,type,
class_Ring__and__Field_Olordered__ring: $i > $o ).
tff(decl_178,type,
class_Ring__and__Field_Oaxclass__no__zero__divisors: $i > $o ).
tff(decl_179,type,
class_Ring__and__Field_Oordered__ring__strict: $i > $o ).
tff(decl_180,type,
class_Ring__and__Field_Oordered__semidom: $i > $o ).
tff(decl_181,type,
class_Ring__and__Field_Oidom: $i > $o ).
tff(decl_182,type,
class_Ring__and__Field_Oordered__idom: $i > $o ).
tff(decl_183,type,
class_Numeral_Onumber: $i > $o ).
tff(decl_184,type,
class_OrderedGroup_Osemigroup__add: $i > $o ).
tff(decl_185,type,
class_Numeral_Onumber__ring: $i > $o ).
tff(decl_186,type,
class_Divides_Odiv: $i > $o ).
tff(decl_187,type,
class_Nat_Opower: $i > $o ).
tff(decl_188,type,
class_Power_Orecpower: $i > $o ).
tff(decl_189,type,
class_Parity_Oeven__odd: $i > $o ).
tff(decl_190,type,
class_OrderedGroup_Oab__semigroup__add: $i > $o ).
tff(decl_191,type,
class_OrderedGroup_Osemigroup__mult: $i > $o ).
tff(decl_192,type,
class_OrderedGroup_Oab__semigroup__mult: $i > $o ).
tff(decl_193,type,
tc_Product__Type_Ounit: $i ).
tff(decl_194,type,
tc_bool: $i ).
tff(decl_195,type,
tc_fun: ( $i * $i ) > $i ).
tff(decl_196,type,
class_Wellfounded__Recursion_Owellorder: $i > $o ).
tff(decl_197,type,
class_Ring__and__Field_Odivision__by__zero: $i > $o ).
tff(decl_198,type,
class_HOL_Oinverse: $i > $o ).
tff(decl_199,type,
class_Ring__and__Field_Ofield: $i > $o ).
tff(decl_200,type,
class_Ring__and__Field_Oordered__field: $i > $o ).
tff(decl_201,type,
class_Ring__and__Field_Opordered__comm__ring: $i > $o ).
tff(decl_202,type,
c_Datatype_Oo2s: ( $i * $i ) > $i ).
tff(decl_203,type,
c_Datatype_Ooption_OSome: ( $i * $i ) > $i ).
tff(decl_204,type,
c_Datatype_Ooption_ONone: $i ).
tff(decl_205,type,
c_Main_Onot__None__eq__iff1__1: ( $i * $i ) > $i ).
tff(decl_206,type,
c_Main_Onot__Some__eq__iff1__1: ( $i * $i ) > $i ).
tff(decl_207,type,
c_Datatype__Universe_OAtom: ( $i * $i * $i ) > $i ).
tff(decl_208,type,
c_Equiv__Relations_Oquotient: ( $i * $i * $i ) > $i ).
tff(decl_209,type,
c_Extraction_Osumbool_OLeft: $i ).
tff(decl_210,type,
c_Extraction_Osumbool_ORight: $i ).
tff(decl_211,type,
c_minus: ( $i * $i * $i ) > $i ).
tff(decl_212,type,
c_Pow: ( $i * $i ) > $i ).
tff(decl_213,type,
c_union: ( $i * $i * $i ) > $i ).
tff(decl_214,type,
c_append: ( $i * $i * $i ) > $i ).
tff(decl_215,type,
c_List_Orev: ( $i * $i ) > $i ).
tff(decl_216,type,
c_List_Ochar_OChar: ( $i * $i ) > $i ).
tff(decl_217,type,
c_plus: ( $i * $i * $i ) > $i ).
tff(decl_218,type,
c_Numeral_Obit_OB0: $i ).
tff(decl_219,type,
c_Numeral_Obit_OB1: $i ).
tff(decl_220,type,
c_SetInterval_OatLeast: ( $i * $i ) > $i ).
tff(decl_221,type,
c_SetInterval_OgreaterThan: ( $i * $i ) > $i ).
tff(decl_222,type,
c_Wellfounded__Recursion_Oacyclic: ( $i * $i ) > $o ).
tff(decl_223,type,
c_Message_Oagent_OServer: $i ).
tff(decl_224,type,
c_Event_Obad: $i ).
tff(decl_225,type,
tc_Message_Oagent: $i ).
tff(decl_226,type,
c_Message_Oagent_OSpy: $i ).
tff(decl_227,type,
c_Event_Oknows: ( $i * $i ) > $i ).
tff(decl_228,type,
c_Message_Oparts: $i > $i ).
tff(decl_229,type,
tc_Message_Omsg: $i ).
tff(decl_230,type,
c_Event_Oused: $i > $i ).
tff(decl_231,type,
c_Event_Oevent_OSays: ( $i * $i * $i ) > $i ).
tff(decl_232,type,
c_Event_Oevent_OGets: ( $i * $i ) > $i ).
tff(decl_233,type,
c_Event_Oevent_ONotes: ( $i * $i ) > $i ).
tff(decl_234,type,
c_Message_Omsg_OCrypt: ( $i * $i ) > $i ).
tff(decl_235,type,
c_Message_Osynth: $i > $i ).
tff(decl_236,type,
c_Message_Omsg_OKey: $i > $i ).
tff(decl_237,type,
c_Message_OHPair: ( $i * $i ) > $i ).
tff(decl_238,type,
c_Message_Omsg_OMPair: ( $i * $i ) > $i ).
tff(decl_239,type,
c_Message_Omsg_OHash: $i > $i ).
tff(decl_240,type,
c_Message_Omsg_OAgent: $i > $i ).
tff(decl_241,type,
c_Message_Omsg_ONonce: $i > $i ).
tff(decl_242,type,
c_Message_Omsg_ONumber: $i > $i ).
tff(decl_243,type,
c_Message_Oanalz: $i > $i ).
tff(decl_244,type,
c_Message_Oagent_OFriend: $i > $i ).
tff(decl_245,type,
tc_Event_Oevent: $i ).
tff(decl_246,type,
c_Message_OinvKey: $i > $i ).
tff(decl_247,type,
c_OtwayRees_Ootway: $i ).
tff(decl_248,type,
v_sko__usf: ( $i * $i * $i ) > $i ).
tff(decl_249,type,
c_Public_OshrK: $i > $i ).
tff(decl_250,type,
c_Event_OinitState: $i > $i ).
tff(decl_251,type,
c_Public_OpublicKey: ( $i * $i ) > $i ).
tff(decl_252,type,
c_Public_Okeymode_OSignature: $i ).
tff(decl_253,type,
c_Public_Okeymode_OEncryption: $i ).
tff(decl_254,type,
c_Message_OsymKeys: $i ).
tff(decl_255,type,
v_A: $i ).
tff(decl_256,type,
v_evs3: $i ).
tff(decl_257,type,
v_B: $i ).
tff(decl_258,type,
v_NA: $i ).
tff(decl_259,type,
v_K: $i ).
tff(decl_260,type,
v_NB: $i ).
tff(decl_261,type,
v_Aa: $i ).
tff(decl_262,type,
v_KAB: $i ).
tff(decl_263,type,
v_Ba: $i ).
tff(decl_264,type,
v_NAa: $i ).
tff(decl_265,type,
v_x: $i ).
cnf(cls_conjecture_37,negated_conjecture,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_37) ).
cnf(cls_conjecture_4,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
cnf(cls_Message_Oparts_OBody__dest_0,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax',cls_Message_Oparts_OBody__dest_0) ).
cnf(cls_conjecture_15,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_A = v_Ba
| v_NA = c_Message_Omsg_ONonce(v_NAa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_15) ).
cnf(cls_conjecture_2,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
cnf(cls_conjecture_6,negated_conjecture,
( v_K = v_KAB
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
cnf(cls_conjecture_5,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_K = v_KAB ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
cnf(cls_Message_OMPair__parts_0,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_OMPair__parts_0) ).
cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax',cls_Event_OSays__imp__analz__Spy__dest_0) ).
cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax',cls_OtwayRees_OGets__imp__Says__dest_0) ).
cnf(cls_conjecture_3,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
cnf(cls_Message_Oparts__partsD__dest_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_Oparts__partsD__dest_0) ).
cnf(cls_Set_OsubsetI_0,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_0) ).
cnf(cls_Set_OsubsetI_1,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OsubsetI_1) ).
cnf(cls_Message_Oparts_OInj_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_Oparts_OInj_0) ).
cnf(cls_conjecture_1,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax',cls_Message_Oanalz__into__parts__dest_0) ).
cnf(cls_Set_Osubset__antisym_0,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Osubset__antisym_0) ).
cnf(cls_conjecture_7,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_A = v_Ba
| v_A = v_Aa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
cnf(cls_conjecture_38,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_A = v_Ba
| X1 != c_Message_Omsg_ONonce(v_NB)
| v_B != v_Ba ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_38) ).
cnf(cls_conjecture_17,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_NA = c_Message_Omsg_ONonce(v_NB)
| v_NA = c_Message_Omsg_ONonce(v_NAa) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_17) ).
cnf(cls_Message_OMPair__parts_1,axiom,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_OMPair__parts_1) ).
cnf(cls_OtwayRees_Ounique__NA__dest_0,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| X5 = X4
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_OtwayRees_Ounique__NA__dest_0) ).
cnf(cls_conjecture_0,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
cnf(cls_conjecture_40,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_NA = c_Message_Omsg_ONonce(v_NB)
| X1 != c_Message_Omsg_ONonce(v_NB)
| v_B != v_Ba ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_40) ).
cnf(cls_conjecture_9,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_NA = c_Message_Omsg_ONonce(v_NB)
| v_A = v_Aa ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
cnf(cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV006-1.ax',cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0) ).
cnf(c_0_28,negated_conjecture,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_conjecture_37 ).
cnf(c_0_29,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_4 ).
cnf(c_0_30,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
cls_Message_Oparts_OBody__dest_0 ).
cnf(c_0_31,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_A = v_Ba
| v_NA = c_Message_Omsg_ONonce(v_NAa) ),
cls_conjecture_15 ).
cnf(c_0_32,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
cls_conjecture_2 ).
cnf(c_0_33,axiom,
( c_in(X1,c_Event_Oused(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0 ).
cnf(c_0_34,negated_conjecture,
( v_K = v_KAB
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
cls_conjecture_6 ).
cnf(c_0_35,negated_conjecture,
( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_28,c_0_29])]) ).
cnf(c_0_36,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_K = v_KAB ),
cls_conjecture_5 ).
cnf(c_0_37,axiom,
( c_in(X2,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
cls_Message_OMPair__parts_0 ).
cnf(c_0_38,negated_conjecture,
( c_Message_Omsg_ONonce(v_NAa) = v_NA
| v_Ba = v_A
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_30,c_0_31]) ).
cnf(c_0_39,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_KAB),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_32,c_0_33]) ).
cnf(c_0_40,negated_conjecture,
v_KAB = v_K,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_36]) ).
cnf(c_0_41,negated_conjecture,
( c_Message_Omsg_ONonce(v_NAa) = v_NA
| v_Ba = v_A
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_37,c_0_38]) ).
cnf(c_0_42,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_39,c_0_40]) ).
cnf(c_0_43,axiom,
( c_in(X3,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OSays(X1,X2,X3),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
cls_Event_OSays__imp__analz__Spy__dest_0 ).
cnf(c_0_44,axiom,
( c_in(c_Event_Oevent_OSays(v_sko__usf(X2,X3,X1),X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X2,X3),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
cls_OtwayRees_OGets__imp__Says__dest_0 ).
cnf(c_0_45,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
cls_conjecture_3 ).
cnf(c_0_46,negated_conjecture,
( c_Message_Omsg_ONonce(v_NAa) = v_NA
| v_Ba = v_A ),
inference(sr,[status(thm)],[c_0_41,c_0_42]) ).
cnf(c_0_47,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oparts(c_Message_Oparts(X2)),tc_Message_Omsg) ),
cls_Message_Oparts__partsD__dest_0 ).
cnf(c_0_48,axiom,
( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
| c_lessequals(X1,X2,tc_set(X3)) ),
cls_Set_OsubsetI_0 ).
cnf(c_0_49,axiom,
( c_lessequals(X1,X2,tc_set(X3))
| ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
cls_Set_OsubsetI_1 ).
cnf(c_0_50,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,X2,tc_Message_Omsg) ),
cls_Message_Oparts_OInj_0 ).
cnf(c_0_51,plain,
( c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X3,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
inference(spm,[status(thm)],[c_0_43,c_0_44]) ).
cnf(c_0_52,negated_conjecture,
( v_Ba = v_A
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(spm,[status(thm)],[c_0_45,c_0_46]) ).
cnf(c_0_53,negated_conjecture,
c_in(v_evs3,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
cls_conjecture_1 ).
cnf(c_0_54,plain,
( c_lessequals(c_Message_Oparts(c_Message_Oparts(X1)),X2,tc_set(tc_Message_Omsg))
| c_in(c_Main_OsubsetI__1(c_Message_Oparts(c_Message_Oparts(X1)),X2,tc_Message_Omsg),c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_47,c_0_48]) ).
cnf(c_0_55,plain,
( c_lessequals(X1,c_Message_Oparts(X2),tc_set(tc_Message_Omsg))
| ~ c_in(c_Main_OsubsetI__1(X1,c_Message_Oparts(X2),tc_Message_Omsg),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_56,axiom,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
cls_Message_Oanalz__into__parts__dest_0 ).
cnf(c_0_57,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_52]),c_0_53])]) ).
cnf(c_0_58,axiom,
( X2 = X1
| ~ c_lessequals(X1,X2,tc_set(X3))
| ~ c_lessequals(X2,X1,tc_set(X3)) ),
cls_Set_Osubset__antisym_0 ).
cnf(c_0_59,plain,
c_lessequals(c_Message_Oparts(c_Message_Oparts(X1)),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_49,c_0_54]) ).
cnf(c_0_60,plain,
c_lessequals(X1,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)),
inference(spm,[status(thm)],[c_0_55,c_0_48]) ).
cnf(c_0_61,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_43,c_0_29]) ).
cnf(c_0_62,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X3,X1),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_37,c_0_50]) ).
cnf(c_0_63,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_56,c_0_57]) ).
cnf(c_0_64,plain,
c_Message_Oparts(c_Message_Oparts(X1)) = c_Message_Oparts(X1),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_58,c_0_59]),c_0_60])]) ).
cnf(c_0_65,negated_conjecture,
c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_56,c_0_61]) ).
cnf(c_0_66,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_63]),c_0_64]) ).
cnf(c_0_67,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_A = v_Ba
| v_A = v_Aa ),
cls_conjecture_7 ).
cnf(c_0_68,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_A = v_Ba
| X1 != c_Message_Omsg_ONonce(v_NB)
| v_B != v_Ba ),
cls_conjecture_38 ).
cnf(c_0_69,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_NA = c_Message_Omsg_ONonce(v_NB)
| v_NA = c_Message_Omsg_ONonce(v_NAa) ),
cls_conjecture_17 ).
cnf(c_0_70,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_37,c_0_65]) ).
cnf(c_0_71,axiom,
( c_in(X1,c_Message_Oparts(X3),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X2),c_Message_Oparts(X3),tc_Message_Omsg) ),
cls_Message_OMPair__parts_1 ).
cnf(c_0_72,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_66]),c_0_64]) ).
cnf(c_0_73,negated_conjecture,
( v_Ba = v_A
| v_Aa = v_A
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_30,c_0_67]) ).
cnf(c_0_74,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_Ba != v_B ),
inference(er,[status(thm)],[c_0_68]) ).
cnf(c_0_75,negated_conjecture,
( c_Message_Omsg_ONonce(v_NAa) = v_NA
| c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_30,c_0_69]) ).
cnf(c_0_76,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_37,c_0_70]) ).
cnf(c_0_77,plain,
( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OMPair(X1,X3),X2,tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_71,c_0_50]) ).
cnf(c_0_78,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_72]),c_0_64]) ).
cnf(c_0_79,negated_conjecture,
( v_Aa = v_A
| v_Ba = v_A
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_37,c_0_73]) ).
cnf(c_0_80,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_Ba != v_B ),
inference(spm,[status(thm)],[c_0_30,c_0_74]) ).
cnf(c_0_81,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_Message_Omsg_ONonce(v_NAa) = v_NA
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_37,c_0_75]) ).
cnf(c_0_82,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| X5 = X4
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X5)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
cls_OtwayRees_Ounique__NA__dest_0 ).
cnf(c_0_83,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_37,c_0_76]) ).
cnf(c_0_84,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
cls_conjecture_0 ).
cnf(c_0_85,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_78]),c_0_64]) ).
cnf(c_0_86,negated_conjecture,
( v_Ba = v_A
| v_Aa = v_A ),
inference(sr,[status(thm)],[c_0_79,c_0_42]) ).
cnf(c_0_87,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_Ba != v_B ),
inference(spm,[status(thm)],[c_0_37,c_0_80]) ).
cnf(c_0_88,negated_conjecture,
( c_Message_Omsg_ONonce(v_NAa) = v_NA
| c_Message_Omsg_ONonce(v_NB) = v_NA ),
inference(sr,[status(thm)],[c_0_81,c_0_42]) ).
cnf(c_0_89,negated_conjecture,
( X1 = v_B
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_53])]),c_0_84]) ).
cnf(c_0_90,negated_conjecture,
( v_Ba = v_A
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_85,c_0_86]) ).
cnf(c_0_91,negated_conjecture,
( v_Ba = v_A
| v_Ba != v_B ),
inference(spm,[status(thm)],[c_0_42,c_0_87]) ).
cnf(c_0_92,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_Ba)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
inference(spm,[status(thm)],[c_0_45,c_0_88]) ).
cnf(c_0_93,negated_conjecture,
v_Ba = v_A,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_90]),c_0_91]) ).
cnf(c_0_94,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_92]),c_0_53])]),c_0_93]),c_0_93]),c_0_93]),c_0_93]) ).
cnf(c_0_95,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_56,c_0_94]) ).
cnf(c_0_96,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_NA = c_Message_Omsg_ONonce(v_NB)
| X1 != c_Message_Omsg_ONonce(v_NB)
| v_B != v_Ba ),
cls_conjecture_40 ).
cnf(c_0_97,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_95]),c_0_64]) ).
cnf(c_0_98,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_NA = c_Message_Omsg_ONonce(v_NB)
| v_A = v_Aa ),
cls_conjecture_9 ).
cnf(c_0_99,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_Ba != v_B ),
inference(er,[status(thm)],[c_0_96]) ).
cnf(c_0_100,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_97]),c_0_64]) ).
cnf(c_0_101,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| v_Aa = v_A
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_30,c_0_98]) ).
cnf(c_0_102,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_Ba != v_B ),
inference(spm,[status(thm)],[c_0_30,c_0_99]) ).
cnf(c_0_103,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_100]),c_0_64]) ).
cnf(c_0_104,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| v_Aa = v_A
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_37,c_0_101]) ).
cnf(c_0_105,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| v_Ba != v_B ),
inference(spm,[status(thm)],[c_0_37,c_0_102]) ).
cnf(c_0_106,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_77,c_0_103]),c_0_64]) ).
cnf(c_0_107,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| v_Aa = v_A ),
inference(sr,[status(thm)],[c_0_104,c_0_42]) ).
cnf(c_0_108,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| v_Ba != v_B ),
inference(spm,[status(thm)],[c_0_42,c_0_105]) ).
cnf(c_0_109,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_A)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
inference(spm,[status(thm)],[c_0_106,c_0_107]) ).
cnf(c_0_110,negated_conjecture,
( c_Message_Omsg_ONonce(v_NB) = v_NA
| v_A != v_B ),
inference(rw,[status(thm)],[c_0_108,c_0_93]) ).
cnf(c_0_111,negated_conjecture,
c_Message_Omsg_ONonce(v_NB) = v_NA,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_109]),c_0_110]) ).
cnf(c_0_112,negated_conjecture,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_45,c_0_111]),c_0_93]),c_0_93]),c_0_93]),c_0_93]) ).
cnf(c_0_113,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_51,c_0_112]),c_0_53])]) ).
cnf(c_0_114,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(spm,[status(thm)],[c_0_56,c_0_113]) ).
cnf(c_0_115,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_114]),c_0_64]) ).
cnf(c_0_116,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_115]),c_0_64]) ).
cnf(c_0_117,negated_conjecture,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A)))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_116]),c_0_64]) ).
cnf(c_0_118,axiom,
( c_in(X2,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X5),c_Message_Omsg_OAgent(X2))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OAgent(X6)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
cls_OtwayRees_Ono__nonce__OR1__OR2__dest_0 ).
cnf(c_0_119,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_62,c_0_117]),c_0_64]) ).
cnf(c_0_120,negated_conjecture,
~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(X1)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_118,c_0_119]),c_0_53])]),c_0_84]) ).
cnf(c_0_121,negated_conjecture,
$false,
inference(sr,[status(thm)],[c_0_83,c_0_120]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.13 % Problem : SWV296-1 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.33 % Computer : n005.cluster.edu
% 0.10/0.33 % Model : x86_64 x86_64
% 0.10/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.33 % Memory : 8042.1875MB
% 0.10/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.33 % CPULimit : 300
% 0.10/0.33 % WCLimit : 300
% 0.10/0.33 % DateTime : Tue Aug 29 05:38:07 EDT 2023
% 0.10/0.33 % CPUTime :
% 0.15/0.57 start to proof: theBenchmark
% 105.18/105.92 % Version : CSE_E---1.5
% 105.18/105.92 % Problem : theBenchmark.p
% 105.18/105.92 % Proof found
% 105.18/105.92 % SZS status Theorem for theBenchmark.p
% 105.18/105.92 % SZS output start Proof
% See solution above
% 105.23/105.93 % Total time : 104.629000 s
% 105.23/105.93 % SZS output end Proof
% 105.23/105.93 % Total time : 104.663000 s
%------------------------------------------------------------------------------