TSTP Solution File: SWV274-1 by CSE_E---1.5

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE_E---1.5
% Problem  : SWV274-1 : 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 : n015.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 21:37:27 EDT 2023

% Result   : Unsatisfiable 125.20s 125.86s
% Output   : CNFRefutation 125.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :  245
% Syntax   : Number of formulae    :  310 (  31 unt; 219 typ;   0 def)
%            Number of atoms       :  173 (  27 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :  158 (  76   ~;  82   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   1 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :  427 ( 196   >; 231   *;   0   +;   0  <<)
%            Number of predicates  :   83 (  81 usr;   1 prp; 0-3 aty)
%            Number of functors    :  138 ( 138 usr;  23 con; 0-6 aty)
%            Number of variables   :  245 (  52 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_Omsg_OCrypt: ( $i * $i ) > $i ).

tff(decl_224,type,
    c_Message_Osynth: $i > $i ).

tff(decl_225,type,
    tc_Message_Omsg: $i ).

tff(decl_226,type,
    c_Message_Omsg_OKey: $i > $i ).

tff(decl_227,type,
    c_Message_Omsg_OHash: $i > $i ).

tff(decl_228,type,
    c_Message_Omsg_OMPair: ( $i * $i ) > $i ).

tff(decl_229,type,
    c_Message_Oanalz: $i > $i ).

tff(decl_230,type,
    c_Message_Oparts: $i > $i ).

tff(decl_231,type,
    c_Message_Omsg_ONonce: $i > $i ).

tff(decl_232,type,
    c_Message_Oagent_OServer: $i ).

tff(decl_233,type,
    c_Message_Oagent_OFriend: $i > $i ).

tff(decl_234,type,
    c_Message_Oagent_OSpy: $i ).

tff(decl_235,type,
    c_Message_OinvKey: $i > $i ).

tff(decl_236,type,
    c_Message_Omsg_OAgent: $i > $i ).

tff(decl_237,type,
    c_Message_Omsg_ONumber: $i > $i ).

tff(decl_238,type,
    v_Y: $i ).

tff(decl_239,type,
    v_X: $i ).

tff(decl_240,type,
    v_H: $i ).

cnf(cls_Set_OpsubsetI_0,axiom,
    ( c_less(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetI_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_Set_OUNIV__I_0,axiom,
    c_in(X1,c_UNIV,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OUNIV__I_0) ).

cnf(cls_Set_OpsubsetE_0,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OpsubsetE_0) ).

cnf(cls_SetInterval_OlessThan__iff__iff1_0,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff1_0) ).

cnf(clsarity_set_1,axiom,
    class_Orderings_Oord(tc_set(X1)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',clsarity_set_1) ).

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_Set_Oempty__subsetI_0,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_Oempty__subsetI_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_OemptyE_0,axiom,
    ~ c_in(X1,c_emptyset,X2),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OemptyE_0) ).

cnf(cls_Relation_Orel__compE_0,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_Orel__compE_0) ).

cnf(cls_Relation_ORangeE_0,axiom,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X4,X3),X1,X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ORange(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_ORangeE_0) ).

cnf(cls_Message_Osynth__trans_0,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Osynth(X3),tc_set(tc_Message_Omsg)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Osynth__trans_0) ).

cnf(cls_Set_OInterI_0,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Set_OInterI_0) ).

cnf(cls_Set_ODiffE_0,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_0) ).

cnf(cls_Set_ODiffE_1,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffE_1) ).

cnf(cls_Relation_OImageE_0,axiom,
    ( c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4)
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OImageE_0) ).

cnf(cls_conjecture_0,negated_conjecture,
    c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).

cnf(cls_Relation_OImageI_0,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-0.ax',cls_Relation_OImageI_0) ).

cnf(cls_Set_ODiffI_0,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_ODiffI_0) ).

cnf(cls_Message_Osynth_OInj_0,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV004-0.ax',cls_Message_Osynth_OInj_0) ).

cnf(cls_Set_OinsertE_0,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OinsertE_0) ).

cnf(cls_SetInterval_OlessThan__iff__iff2_0,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_SetInterval_OlessThan__iff__iff2_0) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

cnf(cls_Set_OUNIV__not__empty__iff1_0,axiom,
    c_UNIV != c_emptyset,
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUNIV__not__empty__iff1_0) ).

cnf(cls_conjecture_1,negated_conjecture,
    c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

cnf(c_0_26,axiom,
    ( c_less(X1,X2,tc_set(X3))
    | X1 = X2
    | ~ c_lessequals(X1,X2,tc_set(X3)) ),
    cls_Set_OpsubsetI_0 ).

cnf(c_0_27,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_28,plain,
    ( X1 = X2
    | c_less(X1,X2,tc_set(X3))
    | ~ c_in(c_Main_OsubsetI__1(X1,X2,X3),X2,X3) ),
    inference(spm,[status(thm)],[c_0_26,c_0_27]) ).

cnf(c_0_29,axiom,
    c_in(X1,c_UNIV,X2),
    cls_Set_OUNIV__I_0 ).

cnf(c_0_30,axiom,
    ( ~ c_less(X1,X2,tc_set(X3))
    | ~ c_lessequals(X2,X1,tc_set(X3)) ),
    cls_Set_OpsubsetE_0 ).

cnf(c_0_31,axiom,
    ( c_less(X2,X3,X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_in(X2,c_SetInterval_OlessThan(X3,X1),X1) ),
    cls_SetInterval_OlessThan__iff__iff1_0 ).

cnf(c_0_32,axiom,
    class_Orderings_Oord(tc_set(X1)),
    clsarity_set_1 ).

cnf(c_0_33,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_34,axiom,
    c_lessequals(c_emptyset,X1,tc_set(X2)),
    cls_Set_Oempty__subsetI_0 ).

cnf(c_0_35,plain,
    ( X1 = c_UNIV
    | c_less(X1,c_UNIV,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_28,c_0_29]) ).

cnf(c_0_36,plain,
    ( ~ c_lessequals(X1,X2,tc_set(X3))
    | ~ c_in(X2,c_SetInterval_OlessThan(X1,tc_set(X3)),tc_set(X3)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_30,c_0_31]),c_0_32])]) ).

cnf(c_0_37,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_38,axiom,
    ~ c_in(X1,c_emptyset,X2),
    cls_Set_OemptyE_0 ).

cnf(c_0_39,axiom,
    ( c_in(c_Pair(c_Main_Orel__compE__2(X2,X3,X1,X4,X5,X6),c_Main_Orel__compE__3(X2,X3,X1,X4,X5,X6),X4,X5),X2,tc_prod(X4,X5))
    | ~ c_in(X1,c_Relation_Orel__comp(X2,X3,X4,X5,X6),tc_prod(X6,X5)) ),
    cls_Relation_Orel__compE_0 ).

cnf(c_0_40,plain,
    ( X1 = c_emptyset
    | ~ c_lessequals(X1,c_emptyset,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_33,c_0_34]) ).

cnf(c_0_41,axiom,
    ( c_in(c_Pair(c_Main_ORangeE__1(X1,X2,X4,X3),X1,X3,X4),X2,tc_prod(X3,X4))
    | ~ c_in(X1,c_Relation_ORange(X2,X3,X4),X4) ),
    cls_Relation_ORangeE_0 ).

cnf(c_0_42,axiom,
    ( c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_lessequals(X2,c_Message_Osynth(X3),tc_set(tc_Message_Omsg)) ),
    cls_Message_Osynth__trans_0 ).

cnf(c_0_43,axiom,
    ( c_in(X1,c_Inter(X2,X3),X3)
    | c_in(c_Main_OInterI__1(X1,X2,X3),X2,tc_set(X3)) ),
    cls_Set_OInterI_0 ).

cnf(c_0_44,plain,
    ( X1 = c_UNIV
    | ~ c_lessequals(c_UNIV,X1,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_30,c_0_35]) ).

cnf(c_0_45,axiom,
    ( ~ c_in(X1,X2,X3)
    | ~ c_in(X1,c_minus(X4,X2,tc_set(X3)),X3) ),
    cls_Set_ODiffE_0 ).

cnf(c_0_46,plain,
    ( c_in(c_Main_OsubsetI__1(X1,X2,X3),X1,X3)
    | ~ c_in(X2,c_SetInterval_OlessThan(X1,tc_set(X3)),tc_set(X3)) ),
    inference(spm,[status(thm)],[c_0_36,c_0_37]) ).

cnf(c_0_47,axiom,
    ( c_in(X1,X2,X4)
    | ~ c_in(X1,c_minus(X2,X3,tc_set(X4)),X4) ),
    cls_Set_ODiffE_1 ).

cnf(c_0_48,plain,
    ~ c_in(X1,c_Relation_Orel__comp(c_emptyset,X2,X3,X4,X5),tc_prod(X5,X4)),
    inference(spm,[status(thm)],[c_0_38,c_0_39]) ).

cnf(c_0_49,axiom,
    ( c_in(c_Main_OImageE__1(X3,X1,X2,X4,X5),X3,X4)
    | ~ c_in(X1,c_Relation_OImage(X2,X3,X4,X5),X5) ),
    cls_Relation_OImageE_0 ).

cnf(c_0_50,plain,
    ( X1 = c_emptyset
    | c_in(c_Main_OsubsetI__1(X1,c_emptyset,X2),X1,X2) ),
    inference(spm,[status(thm)],[c_0_40,c_0_37]) ).

cnf(c_0_51,plain,
    ~ c_in(X1,c_Relation_ORange(c_emptyset,X2,X3),X3),
    inference(spm,[status(thm)],[c_0_38,c_0_41]) ).

cnf(c_0_52,plain,
    ( c_in(c_Main_OsubsetI__1(X1,c_Message_Osynth(X2),tc_Message_Omsg),X1,tc_Message_Omsg)
    | c_in(X3,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X3,c_Message_Osynth(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_42,c_0_37]) ).

cnf(c_0_53,negated_conjecture,
    c_in(v_Y,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    cls_conjecture_0 ).

cnf(c_0_54,axiom,
    ( c_in(X4,c_Relation_OImage(X6,X2,X3,X5),X5)
    | ~ c_in(X1,X2,X3)
    | ~ c_in(c_Pair(X1,X4,X3,X5),X6,tc_prod(X3,X5)) ),
    cls_Relation_OImageI_0 ).

cnf(c_0_55,plain,
    c_in(X1,c_Inter(c_emptyset,X2),X2),
    inference(spm,[status(thm)],[c_0_38,c_0_43]) ).

cnf(c_0_56,axiom,
    ( c_in(X1,X4,X3)
    | c_in(X1,c_minus(X2,X4,tc_set(X3)),X3)
    | ~ c_in(X1,X2,X3) ),
    cls_Set_ODiffI_0 ).

cnf(c_0_57,plain,
    ( X1 = c_UNIV
    | ~ c_in(c_Main_OsubsetI__1(c_UNIV,X1,X2),X1,X2) ),
    inference(spm,[status(thm)],[c_0_44,c_0_27]) ).

cnf(c_0_58,plain,
    ( ~ c_in(X1,c_SetInterval_OlessThan(c_minus(X2,X3,tc_set(X4)),tc_set(X4)),tc_set(X4))
    | ~ c_in(c_Main_OsubsetI__1(c_minus(X2,X3,tc_set(X4)),X1,X4),X3,X4) ),
    inference(spm,[status(thm)],[c_0_45,c_0_46]) ).

cnf(c_0_59,plain,
    ( c_in(c_Main_OsubsetI__1(c_minus(X1,X2,tc_set(X3)),X4,X3),X1,X3)
    | ~ c_in(X4,c_SetInterval_OlessThan(c_minus(X1,X2,tc_set(X3)),tc_set(X3)),tc_set(X3)) ),
    inference(spm,[status(thm)],[c_0_47,c_0_46]) ).

cnf(c_0_60,plain,
    ~ c_in(X1,c_Relation_ORange(c_Relation_Orel__comp(c_emptyset,X2,X3,X4,X5),X5,X4),X4),
    inference(spm,[status(thm)],[c_0_48,c_0_41]) ).

cnf(c_0_61,plain,
    ( c_in(c_Main_OImageE__1(X1,c_Main_OsubsetI__1(c_Relation_OImage(X2,X1,X3,X4),X5,X4),X2,X3,X4),X1,X3)
    | ~ c_in(X5,c_SetInterval_OlessThan(c_Relation_OImage(X2,X1,X3,X4),tc_set(X4)),tc_set(X4)) ),
    inference(spm,[status(thm)],[c_0_49,c_0_46]) ).

cnf(c_0_62,plain,
    c_Relation_Orel__comp(c_emptyset,X1,X2,X3,X4) = c_emptyset,
    inference(spm,[status(thm)],[c_0_48,c_0_50]) ).

cnf(c_0_63,plain,
    c_Relation_ORange(c_emptyset,X1,X2) = c_emptyset,
    inference(spm,[status(thm)],[c_0_51,c_0_50]) ).

cnf(c_0_64,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Osynth(X2),tc_Message_Omsg),c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_42,c_0_27]) ).

cnf(c_0_65,axiom,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(X1,X2,tc_Message_Omsg) ),
    cls_Message_Osynth_OInj_0 ).

cnf(c_0_66,axiom,
    ( c_in(X1,X3,X4)
    | X1 = X2
    | ~ c_in(X1,c_insert(X2,X3,X4),X4) ),
    cls_Set_OinsertE_0 ).

cnf(c_0_67,negated_conjecture,
    ( c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg),c_insert(v_X,v_H,tc_Message_Omsg),tc_Message_Omsg)
    | c_in(v_Y,c_Message_Osynth(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_52,c_0_53]) ).

cnf(c_0_68,plain,
    ( c_in(X1,c_Relation_OImage(c_Inter(c_emptyset,tc_prod(X2,X3)),X4,X2,X3),X3)
    | ~ c_in(X5,X4,X2) ),
    inference(spm,[status(thm)],[c_0_54,c_0_55]) ).

cnf(c_0_69,negated_conjecture,
    ( c_in(v_Y,c_minus(c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),X1,tc_set(tc_Message_Omsg)),tc_Message_Omsg)
    | c_in(v_Y,X1,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_56,c_0_53]) ).

cnf(c_0_70,plain,
    c_Inter(c_emptyset,X1) = c_UNIV,
    inference(spm,[status(thm)],[c_0_57,c_0_55]) ).

cnf(c_0_71,axiom,
    ( c_in(X2,c_SetInterval_OlessThan(X3,X1),X1)
    | ~ class_Orderings_Oord(X1)
    | ~ c_less(X2,X3,X1) ),
    cls_SetInterval_OlessThan__iff__iff2_0 ).

cnf(c_0_72,plain,
    ( c_emptyset = X1
    | c_less(c_emptyset,X1,tc_set(X2)) ),
    inference(spm,[status(thm)],[c_0_26,c_0_34]) ).

cnf(c_0_73,plain,
    ~ c_in(X1,c_SetInterval_OlessThan(c_minus(X2,X2,tc_set(X3)),tc_set(X3)),tc_set(X3)),
    inference(spm,[status(thm)],[c_0_58,c_0_59]) ).

cnf(c_0_74,plain,
    ~ c_in(X1,c_SetInterval_OlessThan(c_Relation_OImage(X2,c_emptyset,X3,X4),tc_set(X4)),tc_set(X4)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_60,c_0_61]),c_0_62]),c_0_63]) ).

cnf(c_0_75,plain,
    ( c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
    | ~ c_in(c_Main_OsubsetI__1(X3,c_Message_Osynth(X2),tc_Message_Omsg),X2,tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(X3),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_64,c_0_65]) ).

cnf(c_0_76,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg) = v_X
    | c_in(c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(X1),tc_Message_Omsg),v_H,tc_Message_Omsg)
    | c_in(v_Y,c_Message_Osynth(X1),tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_66,c_0_67]) ).

cnf(c_0_77,negated_conjecture,
    ~ c_in(v_Y,c_Message_Osynth(v_H),tc_Message_Omsg),
    cls_conjecture_2 ).

cnf(c_0_78,negated_conjecture,
    ( c_in(X1,c_Relation_OImage(c_UNIV,c_minus(c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),X2,tc_set(tc_Message_Omsg)),tc_Message_Omsg,X3),X3)
    | c_in(v_Y,X2,tc_Message_Omsg) ),
    inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_68,c_0_69]),c_0_70]) ).

cnf(c_0_79,plain,
    ( c_emptyset = X1
    | c_in(c_emptyset,c_SetInterval_OlessThan(X1,tc_set(X2)),tc_set(X2)) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_71,c_0_72]),c_0_32])]) ).

cnf(c_0_80,plain,
    c_SetInterval_OlessThan(c_minus(X1,X1,tc_set(X2)),tc_set(X2)) = c_emptyset,
    inference(spm,[status(thm)],[c_0_73,c_0_50]) ).

cnf(c_0_81,plain,
    c_SetInterval_OlessThan(c_Relation_OImage(X1,c_emptyset,X2,X3),tc_set(X3)) = c_emptyset,
    inference(spm,[status(thm)],[c_0_74,c_0_50]) ).

cnf(c_0_82,negated_conjecture,
    ( c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X
    | c_in(X1,c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_75,c_0_76]),c_0_77]) ).

cnf(c_0_83,negated_conjecture,
    ( c_Relation_OImage(c_UNIV,c_minus(c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),X1,tc_set(tc_Message_Omsg)),tc_Message_Omsg,X2) = c_UNIV
    | c_in(v_Y,X1,tc_Message_Omsg) ),
    inference(spm,[status(thm)],[c_0_57,c_0_78]) ).

cnf(c_0_84,plain,
    c_minus(X1,X1,tc_set(X2)) = c_emptyset,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_80]),c_0_38]) ).

cnf(c_0_85,plain,
    c_Relation_OImage(X1,c_emptyset,X2,X3) = c_emptyset,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_79,c_0_81]),c_0_38]) ).

cnf(c_0_86,axiom,
    c_UNIV != c_emptyset,
    cls_Set_OUNIV__not__empty__iff1_0 ).

cnf(c_0_87,negated_conjecture,
    c_Main_OsubsetI__1(c_insert(v_X,v_H,tc_Message_Omsg),c_Message_Osynth(v_H),tc_Message_Omsg) = v_X,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_82,c_0_83]),c_0_84]),c_0_85]),c_0_77]),c_0_86]) ).

cnf(c_0_88,negated_conjecture,
    c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    cls_conjecture_1 ).

cnf(c_0_89,negated_conjecture,
    ( c_in(X1,c_Message_Osynth(v_H),tc_Message_Omsg)
    | ~ c_in(X1,c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_64,c_0_87]),c_0_88])]) ).

cnf(c_0_90,negated_conjecture,
    $false,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_89,c_0_83]),c_0_84]),c_0_85]),c_0_77]),c_0_86]),
    [proof] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV274-1 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13  % Command    : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.13/0.34  % Computer : n015.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 29 03:36:55 EDT 2023
% 0.13/0.34  % CPUTime  : 
% 0.20/0.57  start to proof: theBenchmark
% 125.20/125.86  % Version  : CSE_E---1.5
% 125.20/125.86  % Problem  : theBenchmark.p
% 125.20/125.86  % Proof found
% 125.20/125.86  % SZS status Theorem for theBenchmark.p
% 125.20/125.86  % SZS output start Proof
% See solution above
% 125.20/125.88  % Total time : 124.568000 s
% 125.20/125.88  % SZS output end Proof
% 125.20/125.88  % Total time : 124.598000 s
%------------------------------------------------------------------------------