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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWW751_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n002.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Sep 29 01:40:43 PM UTC 2026

% Result   : Unsatisfiable 0.19s 0.34s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   15
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   84 (  15 unt;   0 typ;  14 def)
%            Number of atoms       : 1213 ( 655 equ)
%            Maximal formula atoms :  136 (  14 avg)
%            Number of connectives : 1860 ( 731   ~; 452   |; 417   &)
%                                         (   7 <=>; 253  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   55 (  10 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     : 1479 ( 430 atm;  26 fun; 806 num; 217 var)
%            Number of types       :    2 (   0 usr;   1 ari;   0 dat;   0 cdt)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   22 (  17 usr;  16 prp; 0-7 aty)
%            Number of functors    :  288 ( 282 usr; 117 con; 0-5 aty)
%            Number of variables   :  217 (   0 sgn 117   !; 100   ?; 217   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    'RTE_RtnCode': $int ).

tff(func_def_1,type,
    ownerRef: $int ).

tff(func_def_2,type,
    localinv: $int ).

tff(func_def_3,type,
    'RTE_MStackBase_1': $int > $int ).

tff(func_def_4,type,
    'RTE_Scratch': $int ).

tff(func_def_5,type,
    'System_Collections_IEnumerable': $int ).

tff(func_def_6,type,
    'SS_Display_Return_Local': $int ).

tff(func_def_7,type,
    'StringEquals': ( $int * $int ) > $int ).

tff(func_def_8,type,
    'RTE_PC': $int ).

tff(func_def_9,type,
    local0: $int ).

tff(func_def_10,type,
    'RTE_C': $int ).

tff(func_def_11,type,
    intLess: ( $int * $int ) > $int ).

tff(func_def_12,type,
    'System_Array': $int ).

tff(func_def_13,type,
    'TypeObject': $int > $int ).

tff(func_def_14,type,
    'System_Int16': $int ).

tff(func_def_15,type,
    'RTE_Program': $int ).

tff(func_def_16,type,
    anyEqual: ( $int * $int ) > $int ).

tff(func_def_17,type,
    'AsPeerField': $int > $int ).

tff(func_def_18,type,
    'ArrayCategoryInt': $int ).

tff(func_def_19,type,
    'StructGet': ( $int * $int ) > $int ).

tff(func_def_20,type,
    return_value_0: $int ).

tff(func_def_21,type,
    false_1: $int ).

tff(func_def_22,type,
    sharingMode: $int ).

tff(func_def_23,type,
    'InRange': ( $int * $int ) > $int ).

tff(func_def_24,type,
    'ArrayIndexInvY': $int > $int ).

tff(func_def_25,type,
    'IntArray': ( $int * $int ) > $int ).

tff(func_def_26,type,
    'AsOwner': ( $int * $int ) > $int ).

tff(func_def_27,type,
    'ValueArraySet': ( $int * $int * $int ) > $int ).

tff(func_def_28,type,
    'System_IConvertible': $int ).

tff(func_def_29,type,
    'Memory_get_cont_System_Int32_1': ( $int * $int ) > $int ).

tff(func_def_30,type,
    'System_Int64': $int ).

tff(func_def_31,type,
    'System_Int32': $int ).

tff(func_def_32,type,
    'Heap': $int ).

tff(func_def_33,type,
    'DeclType': $int > $int ).

tff(func_def_34,type,
    'LBound': ( $int * $int ) > $int ).

tff(func_def_35,type,
    'Memory_contents_1': $int > $int ).

tff(func_def_36,type,
    'AsPureObject': $int > $int ).

tff(func_def_37,type,
    boolNot: $int > $int ).

tff(func_def_38,type,
    intAtLeast: ( $int * $int ) > $int ).

tff(func_def_39,type,
    'RefArraySet': ( $int * $int * $int ) > $int ).

tff(func_def_40,type,
    store1: ( $int * $int * $int ) > $int ).

tff(func_def_41,type,
    'System_Object': $int ).

tff(func_def_42,type,
    'Unbox': $int > $int ).

tff(func_def_43,type,
    typeof: $int > $int ).

tff(func_def_44,type,
    b_in: $int ).

tff(func_def_45,type,
    a: $int ).

tff(func_def_46,type,
    'ArrayCategoryNonNullRef': $int ).

tff(func_def_47,type,
    'IfThenElse': ( $int * $int * $int ) > $int ).

tff(func_def_48,type,
    'RTE_A': $int ).

tff(func_def_49,type,
    int_m2147483648: $int ).

tff(func_def_50,type,
    'TypeName': $int > $int ).

tff(func_def_51,type,
    'System_Reflection_MemberInfo': $int ).

tff(func_def_52,type,
    'RTE_Instructions': $int ).

tff(func_def_53,type,
    'System_String_Equals_System_String_System_String': ( $int * $int * $int ) > $int ).

tff(func_def_54,type,
    'AsDirectSubClass': ( $int * $int ) > $int ).

tff(func_def_55,type,
    'RTE_CSP': $int ).

tff(func_def_56,type,
    'IsStaticField': $int > $int ).

tff(func_def_57,type,
    'System_String_IsInterned_System_String_notnull': ( $int * $int ) > $int ).

tff(func_def_58,type,
    'System_UInt64': $int ).

tff(func_def_59,type,
    boolImplies: ( $int * $int ) > $int ).

tff(func_def_60,type,
    or_1: ( $int * $int ) > $int ).

tff(func_def_61,type,
    'System_Runtime_Serialization_ISerializable': $int ).

tff(func_def_62,type,
    shl: ( $int * $int ) > $int ).

tff(func_def_63,type,
    boolAnd: ( $int * $int ) > $int ).

tff(func_def_64,type,
    'System_Boolean': $int ).

tff(func_def_65,type,
    'Memory_InSandbox_System_Int32_1': ( $int * $int ) > $int ).

tff(func_def_66,type,
    'As': ( $int * $int ) > $int ).

tff(func_def_67,type,
    'ArrayCategoryRef': $int ).

tff(func_def_68,type,
    'AsNonNullRefField': ( $int * $int ) > $int ).

tff(func_def_69,type,
    x_2: ( $int * $int ) > $int ).

tff(func_def_70,type,
    'RTE_Data': $int ).

tff(func_def_71,type,
    allocated: $int ).

tff(func_def_72,type,
    'AsRangeField': ( $int * $int ) > $int ).

tff(func_def_73,type,
    and_1: ( $int * $int ) > $int ).

tff(func_def_74,type,
    'System_Runtime_InteropServices__Type': $int ).

tff(func_def_75,type,
    a_in: $int ).

tff(func_def_76,type,
    b: $int ).

tff(func_def_77,type,
    'SharingMode_LockProtected': $int ).

tff(func_def_78,type,
    'IntArrayGet': ( $int * $int ) > $int ).

tff(func_def_79,type,
    'Is': ( $int * $int ) > $int ).

tff(func_def_80,type,
    'IsAllocated': ( $int * $int ) > $int ).

tff(func_def_81,type,
    int_m9223372036854775808: $int ).

tff(func_def_82,type,
    'ElementProxyStruct': ( $int * $int ) > $int ).

tff(func_def_83,type,
    'ArrayIndex': ( $int * $int * $int * $int ) > $int ).

tff(func_def_84,type,
    'RTE': $int ).

tff(func_def_85,type,
    select1: ( $int * $int ) > $int ).

tff(func_def_86,type,
    min: ( $int * $int ) > $int ).

tff(func_def_87,type,
    'System_Runtime_InteropServices__Exception': $int ).

tff(func_def_88,type,
    'AsRefField': ( $int * $int ) > $int ).

tff(func_def_89,type,
    'System_IntPtr': $int ).

tff(func_def_90,type,
    'Length': $int > $int ).

tff(func_def_91,type,
    'System_Reflection_ICustomAttributeProvider': $int ).

tff(func_def_92,type,
    'AsElementsPeerField': ( $int * $int ) > $int ).

tff(func_def_93,type,
    'ValueArrayGet': ( $int * $int ) > $int ).

tff(func_def_94,type,
    store2: ( $int * $int * $int * $int ) > $int ).

tff(func_def_95,type,
    'FieldDependsOnFCO': ( $int * $int * $int ) > $int ).

tff(func_def_96,type,
    stack0i_1: $int ).

tff(func_def_97,type,
    'Memory_get_cont_System_Int32': ( $int * $int * $int ) > $int ).

tff(func_def_98,type,
    'System_Exception': $int ).

tff(func_def_99,type,
    'Rank': $int > $int ).

tff(func_def_100,type,
    'System_IComparable': $int ).

tff(func_def_101,type,
    'ValueArray': ( $int * $int ) > $int ).

tff(func_def_102,type,
    'IntArraySet': ( $int * $int * $int ) > $int ).

tff(func_def_103,type,
    'AsRepField': ( $int * $int ) > $int ).

tff(func_def_104,type,
    'System_Collections_ICollection': $int ).

tff(func_def_105,type,
    intGreater: ( $int * $int ) > $int ).

tff(func_def_106,type,
    'ElementProxy': ( $int * $int ) > $int ).

tff(func_def_107,type,
    return_value: $int ).

tff(func_def_108,type,
    'BoxTester': ( $int * $int ) > $int ).

tff(func_def_109,type,
    'SharingMode_Unshared': $int ).

tff(func_def_110,type,
    'System_UInt16': $int ).

tff(func_def_111,type,
    'Microsoft_Contracts_GuardException': $int ).

tff(func_def_112,type,
    'ClassReprInv': $int > $int ).

tff(func_def_113,type,
    int_4294967295: $int ).

tff(func_def_114,type,
    'RTE_CallStack': $int ).

tff(func_def_115,type,
    'ClassRepr': $int > $int ).

tff(func_def_116,type,
    'NonNullFieldsAreInitialized': $int ).

tff(func_def_117,type,
    'AsInterface': $int > $int ).

tff(func_def_118,type,
    'RTE_CurrRTEMode': $int ).

tff(func_def_119,type,
    'Microsoft_Contracts_ICheckedException': $int ).

tff(func_def_120,type,
    boolOr: ( $int * $int ) > $int ).

tff(func_def_121,type,
    'PeerGroupPlaceholder': $int ).

tff(func_def_122,type,
    'IsNotNull': ( $int * $int ) > $int ).

tff(func_def_123,type,
    'ArrayCategoryValue': $int ).

tff(func_def_124,type,
    'ElementType': $int > $int ).

tff(func_def_125,type,
    'System_SByte': $int ).

tff(func_def_126,type,
    'BeingConstructed': $int ).

tff(func_def_127,type,
    'Memory': $int ).

tff(func_def_128,type,
    op: $int ).

tff(func_def_129,type,
    true_1: $int ).

tff(func_def_130,type,
    'Memory_InSandbox_System_Int32': ( $int * $int * $int ) > $int ).

tff(func_def_131,type,
    int_2147483647: $int ).

tff(func_def_132,type,
    result: $int ).

tff(func_def_133,type,
    'RTE_MStackMaxSize_1': $int > $int ).

tff(func_def_134,type,
    'System_IComparable_1___System_String': $int ).

tff(func_def_135,type,
    'System_String_Equals_System_String': ( $int * $int * $int ) > $int ).

tff(func_def_136,type,
    'OneClassDown': ( $int * $int ) > $int ).

tff(func_def_137,type,
    'Microsoft_Contracts_ObjectInvariantException': $int ).

tff(func_def_138,type,
    'StringLength': $int > $int ).

tff(func_def_139,type,
    'AsImmutable': $int > $int ).

tff(func_def_140,type,
    'System_Collections_Generic_IEnumerable_1___System_Char': $int ).

tff(func_def_141,type,
    op_in: $int ).

tff(func_def_142,type,
    'IntToInt': ( $int * $int * $int ) > $int ).

tff(func_def_143,type,
    'PurityAxiomsCanBeAssumed': $int ).

tff(func_def_144,type,
    'System_Char': $int ).

tff(func_def_145,type,
    boolIff: ( $int * $int ) > $int ).

tff(func_def_146,type,
    intAtMost: ( $int * $int ) > $int ).

tff(func_def_147,type,
    'RTE_MStackBase': $int ).

tff(func_def_148,type,
    elements: $int ).

tff(func_def_149,type,
    'IsValueType': $int > $int ).

tff(func_def_150,type,
    'System_Collections_IList': $int ).

tff(func_def_151,type,
    'System_UIntPtr': $int ).

tff(func_def_152,type,
    'System_UInt32': $int ).

tff(func_def_153,type,
    'IsImmutable': $int > $int ).

tff(func_def_154,type,
    'AsElementsRepField': ( $int * $int * $int ) > $int ).

tff(func_def_155,type,
    'Memory_contents': $int ).

tff(func_def_156,type,
    inv: $int ).

tff(func_def_157,type,
    'RTE_MStackMaxSize': $int ).

tff(func_def_158,type,
    'FirstConsistentOwner': $int ).

tff(func_def_159,type,
    'NonNullRefArrayRaw': ( $int * $int * $int ) > $int ).

tff(func_def_160,type,
    'BoxFunc': ( $int * $int * $int * $int ) > $int ).

tff(func_def_161,type,
    'AsMutable': $int > $int ).

tff(func_def_162,type,
    x: ( $int * $int ) > $int ).

tff(func_def_163,type,
    'System_Byte': $int ).

tff(func_def_164,type,
    'UnboxedType': $int > $int ).

tff(func_def_165,type,
    'IncludedInModifiesStar': $int > $int ).

tff(func_def_166,type,
    'StructSet': ( $int * $int * $int ) > $int ).

tff(func_def_167,type,
    'System_Type': $int ).

tff(func_def_168,type,
    ownerFrame: $int ).

tff(func_def_169,type,
    stack0i_0: $int ).

tff(func_def_170,type,
    'System_IEquatable_1___System_String': $int ).

tff(func_def_171,type,
    max: ( $int * $int ) > $int ).

tff(func_def_172,type,
    shr: ( $int * $int ) > $int ).

tff(func_def_173,type,
    'DimLength': ( $int * $int ) > $int ).

tff(func_def_174,type,
    'RefArrayGet': ( $int * $int ) > $int ).

tff(func_def_175,type,
    'RTE_DPP': $int ).

tff(func_def_176,type,
    'RTE_MSP': $int ).

tff(func_def_177,type,
    stack0i_2: $int ).

tff(func_def_178,type,
    x_1: ( $int * $int ) > $int ).

tff(func_def_179,type,
    'UBound': ( $int * $int ) > $int ).

tff(func_def_180,type,
    exposeVersion: $int ).

tff(func_def_181,type,
    'System_ICloneable': $int ).

tff(func_def_182,type,
    'System_Reflection_IReflect': $int ).

tff(func_def_183,type,
    int_9223372036854775807: $int ).

tff(func_def_184,type,
    'Box': ( $int * $int ) > $int ).

tff(func_def_185,type,
    'ArrayIndexInvX': $int > $int ).

tff(func_def_186,type,
    anyNeq: ( $int * $int ) > $int ).

tff(func_def_187,type,
    int_18446744073709551615: $int ).

tff(func_def_188,type,
    'IncludeInMainFrameCondition': $int > $int ).

tff(func_def_189,type,
    nullObject: $int ).

tff(func_def_190,type,
    'IsHeap': $int > $int ).

tff(func_def_191,type,
    select2: ( $int * $int * $int ) > $int ).

tff(func_def_192,type,
    'ArrayCategory': $int > $int ).

tff(func_def_193,type,
    'System_Runtime_InteropServices__MemberInfo': $int ).

tff(func_def_194,type,
    'RefArray': ( $int * $int ) > $int ).

tff(func_def_195,type,
    'IsMemberlessType': $int > $int ).

tff(func_def_196,type,
    'BaseClass': $int > $int ).

tff(func_def_197,type,
    'RTE_Z': $int ).

tff(func_def_198,type,
    'NonNullRefArray': ( $int * $int ) > $int ).

tff(func_def_199,type,
    'System_String': $int ).

tff(func_def_217,type,
    sK10: ( $int * $int * $int ) > $int ).

tff(func_def_218,type,
    sK11: $int ).

tff(func_def_219,type,
    sK12: $int ).

tff(func_def_220,type,
    sK13: $int ).

tff(func_def_221,type,
    sK14: $int ).

tff(func_def_222,type,
    sK15: $int ).

tff(func_def_223,type,
    sK16: $int ).

tff(func_def_224,type,
    sK17: $int ).

tff(func_def_225,type,
    sK18: $int ).

tff(func_def_226,type,
    sK19: $int ).

tff(func_def_227,type,
    sK20: $int ).

tff(func_def_228,type,
    sK21: ( $int * $int * $int ) > $int ).

tff(func_def_229,type,
    sK22: $int > $int ).

tff(func_def_230,type,
    sK23: ( $int * $int ) > $int ).

tff(func_def_231,type,
    sK24: ( $int * $int ) > $int ).

tff(func_def_232,type,
    sK25: ( $int * $int ) > $int ).

tff(func_def_233,type,
    sK26: ( $int * $int ) > $int ).

tff(func_def_234,type,
    sK27: ( $int * $int * $int ) > $int ).

tff(func_def_235,type,
    sK28: ( $int * $int * $int ) > $int ).

tff(func_def_236,type,
    sK29: ( $int * $int * $int ) > $int ).

tff(func_def_237,type,
    sK30: ( $int * $int * $int ) > $int ).

tff(func_def_238,type,
    sK31: ( $int * $int * $int ) > $int ).

tff(func_def_239,type,
    sK32: ( $int * $int * $int ) > $int ).

tff(func_def_240,type,
    sK33: ( $int * $int * $int ) > $int ).

tff(func_def_241,type,
    sK34: ( $int * $int * $int ) > $int ).

tff(func_def_242,type,
    sK35: ( $int * $int * $int ) > $int ).

tff(func_def_243,type,
    sK36: ( $int * $int * $int ) > $int ).

tff(func_def_244,type,
    sK37: ( $int * $int * $int ) > $int ).

tff(func_def_245,type,
    sK38: $int > $int ).

tff(func_def_246,type,
    sK39: ( $int * $int ) > $int ).

tff(func_def_247,type,
    sK40: ( $int * $int * $int ) > $int ).

tff(func_def_248,type,
    sK41: ( $int * $int * $int ) > $int ).

tff(func_def_249,type,
    sK42: ( $int * $int ) > $int ).

tff(func_def_250,type,
    sK43: ( $int * $int * $int * $int ) > $int ).

tff(func_def_251,type,
    sK44: ( $int * $int * $int ) > $int ).

tff(func_def_252,type,
    sK45: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_253,type,
    sK46: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_254,type,
    sK47: ( $int * $int * $int * $int ) > $int ).

tff(func_def_255,type,
    sK48: ( $int * $int * $int * $int ) > $int ).

tff(func_def_256,type,
    sK49: ( $int * $int ) > $int ).

tff(func_def_257,type,
    sK50: ( $int * $int ) > $int ).

tff(func_def_258,type,
    sK51: ( $int * $int ) > $int ).

tff(func_def_259,type,
    sK52: ( $int * $int * $int ) > $int ).

tff(func_def_260,type,
    sK53: ( $int * $int * $int ) > $int ).

tff(func_def_261,type,
    sK54: ( $int * $int ) > $int ).

tff(func_def_262,type,
    sK55: ( $int * $int ) > $int ).

tff(func_def_263,type,
    sK56: ( $int * $int ) > $int ).

tff(func_def_264,type,
    sK57: ( $int * $int ) > $int ).

tff(func_def_265,type,
    sK58: ( $int * $int ) > $int ).

tff(func_def_266,type,
    sK59: ( $int * $int * $int * $int ) > $int ).

tff(func_def_267,type,
    sK60: ( $int * $int * $int ) > $int ).

tff(func_def_268,type,
    sK61: ( $int * $int * $int ) > $int ).

tff(func_def_269,type,
    sK62: ( $int * $int ) > $int ).

tff(func_def_270,type,
    sK63: ( $int * $int ) > $int ).

tff(func_def_271,type,
    sK64: ( $int * $int ) > $int ).

tff(func_def_272,type,
    sK65: ( $int * $int ) > $int ).

tff(func_def_273,type,
    sK66: ( $int * $int ) > $int ).

tff(func_def_274,type,
    sK67: ( $int * $int ) > $int ).

tff(func_def_275,type,
    sK68: ( $int * $int ) > $int ).

tff(func_def_276,type,
    sK69: ( $int * $int ) > $int ).

tff(func_def_277,type,
    sK70: ( $int * $int ) > $int ).

tff(func_def_278,type,
    sK71: ( $int * $int ) > $int ).

tff(func_def_279,type,
    sK72: ( $int * $int * $int ) > $int ).

tff(func_def_280,type,
    sK73: ( $int * $int * $int ) > $int ).

tff(func_def_281,type,
    sK74: ( $int * $int * $int ) > $int ).

tff(func_def_282,type,
    sK75: ( $int * $int * $int ) > $int ).

tff(func_def_283,type,
    sK76: ( $int * $int * $int ) > $int ).

tff(func_def_284,type,
    sK77: ( $int * $int * $int ) > $int ).

tff(func_def_285,type,
    sK78: ( $int * $int * $int ) > $int ).

tff(func_def_286,type,
    sK79: ( $int * $int * $int ) > $int ).

tff(func_def_287,type,
    sK80: ( $int * $int * $int ) > $int ).

tff(func_def_288,type,
    sK81: ( $int * $int ) > $int ).

tff(func_def_289,type,
    sK82: ( $int * $int ) > $int ).

tff(func_def_290,type,
    sK83: ( $int * $int ) > $int ).

tff(func_def_291,type,
    sK84: ( $int * $int ) > $int ).

tff(func_def_292,type,
    sK85: ( $int * $int ) > $int ).

tff(func_def_293,type,
    sK86: $int ).

tff(func_def_294,type,
    sK87: $int ).

tff(func_def_295,type,
    sK88: $int ).

tff(func_def_296,type,
    sK89: $int ).

tff(func_def_297,type,
    sK90: $int ).

tff(func_def_298,type,
    sK91: $int ).

tff(pred_def_5,type,
    sP0: ( $int * $int * $int * $int * $int * $int * $int ) > $o ).

tff(pred_def_6,type,
    sP1: ( $int * $int * $int * $int * $int * $int ) > $o ).

tff(pred_def_7,type,
    sP2: ( $int * $int * $int ) > $o ).

tff(f3,axiom,
    ~ ( ( 'IsHeap'('Heap') = true_1 )
     => ( ( 'InRange'(op_in,'System_Int32') = true_1 )
       => ( ( 'InRange'(a_in,'System_Int32') = true_1 )
         => ( ( 'InRange'(b_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(result,'System_Int32') = true_1 )
             => ( ( 'InRange'(op,'System_Int32') = true_1 )
               => ( ( 'InRange'(a,'System_Int32') = true_1 )
                 => ( ( 'InRange'(b,'System_Int32') = true_1 )
                   => ( ( 'InRange'(local0,'System_Int32') = true_1 )
                     => ( ( 'InRange'(return_value,'System_Int32') = true_1 )
                       => ( ( 'InRange'('SS_Display_Return_Local','System_Int32') = true_1 )
                         => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
                           => ( ( 'BeingConstructed' = nullObject )
                             => ( ~ ( ~ $lesseq(80,80)
                                    | ~ $lesseq(80,80) )
                               => ~ ( ~ ( ~ ( ~ $lesseq(80,80)
                                            | ~ $lesseq(80,80) )
                                       => ( ( op_in = 80 )
                                         => ( ~ ( ~ $lesseq(80,op_in)
                                                | ~ $lesseq(op_in,80)
                                                | ~ $lesseq(80,80)
                                                | ~ $lesseq(80,80) )
                                           => ( ~ ( ~ $lesseq(80,op_in)
                                                  | ~ $lesseq(op_in,80)
                                                  | ~ $lesseq(80,80)
                                                  | ~ $lesseq(80,80) )
                                             => ( ( stack0i_1 = $sum(a_in,b_in) )
                                               => ( ~ ( ~ $lesseq(80,op_in)
                                                      | ~ $lesseq(op_in,80) )
                                                 => ( ( stack0i_2 = stack0i_1 )
                                                   => ( ( return_value_0 = stack0i_1 )
                                                     => ~ ( ~ ! [X0: $int,X1: $int] :
                                                              ? [X2: $int,X3: $int,X4: $int] :
                                                                ( ( X2 = select2('Heap',X0,X1) )
                                                                & ( X3 = select2('Heap',X0,ownerFrame) )
                                                                & ( X4 = select2('Heap',X0,ownerRef) )
                                                                & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                      | ( X0 = nullObject )
                                                                      | ( select2('Heap',X0,allocated) != true_1 )
                                                                      | ~ ( ( X3 = 'PeerGroupPlaceholder' )
                                                                          | ( x(select2('Heap',X4,inv),X3) != true_1 )
                                                                          | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) )
                                                                 => ( X2 = X2 ) ) )
                                                          | ~ ( ! [X0: $int,X1: $int] :
                                                                ? [X5: $int,X6: $int,X7: $int] :
                                                                  ( ( X5 = select2('Heap',X0,X1) )
                                                                  & ( X6 = select2('Heap',X0,ownerFrame) )
                                                                  & ( X7 = select2('Heap',X0,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                        | ( X0 = nullObject )
                                                                        | ( select2('Heap',X0,allocated) != true_1 )
                                                                        | ~ ( ( X6 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X7,inv),X6) != true_1 )
                                                                            | ( select2('Heap',X7,localinv) = 'BaseClass'(X6) ) ) )
                                                                   => ( X5 = X5 ) ) )
                                                             => $true ) ) ) ) ) ) ) ) ) )
                                    | ~ ( ~ ( ~ $lesseq(80,80)
                                            | ~ $lesseq(80,80) )
                                       => ( ( op_in != 80 )
                                         => ( ~ ( ~ $lesseq(80,80)
                                                | ~ $lesseq(80,80) )
                                           => ( ~ ( ~ $lesseq(80,80)
                                                  | ~ $lesseq(80,80) )
                                             => ( ~ ( ~ $lesseq(81,81)
                                                    | ~ $lesseq(81,81) )
                                               => ~ ( ~ ( ~ ( ~ $lesseq(81,81)
                                                            | ~ $lesseq(81,81) )
                                                       => ( ( op_in = 81 )
                                                         => ( ~ ( ~ $lesseq(81,op_in)
                                                                | ~ $lesseq(op_in,81)
                                                                | ~ $lesseq(81,81)
                                                                | ~ $lesseq(81,81) )
                                                           => ( ~ ( ~ $lesseq(81,op_in)
                                                                  | ~ $lesseq(op_in,81)
                                                                  | ~ $lesseq(81,81)
                                                                  | ~ $lesseq(81,81) )
                                                             => ( ( stack0i_0 = $difference(a_in,b_in) )
                                                               => ( ~ ( ~ $lesseq(81,op_in)
                                                                      | ~ $lesseq(op_in,81) )
                                                                 => ( ( stack0i_2 = stack0i_0 )
                                                                   => ( ( return_value_0 = stack0i_0 )
                                                                     => ~ ( ~ ! [X0: $int,X1: $int] :
                                                                              ? [X8: $int,X9: $int,X10: $int] :
                                                                                ( ( X8 = select2('Heap',X0,X1) )
                                                                                & ( X9 = select2('Heap',X0,ownerFrame) )
                                                                                & ( X10 = select2('Heap',X0,ownerRef) )
                                                                                & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                                      | ( X0 = nullObject )
                                                                                      | ( select2('Heap',X0,allocated) != true_1 )
                                                                                      | ~ ( ( X9 = 'PeerGroupPlaceholder' )
                                                                                          | ( x(select2('Heap',X10,inv),X9) != true_1 )
                                                                                          | ( select2('Heap',X10,localinv) = 'BaseClass'(X9) ) ) )
                                                                                 => ( X8 = X8 ) ) )
                                                                          | ~ ( ! [X0: $int,X1: $int] :
                                                                                ? [X11: $int,X12: $int,X13: $int] :
                                                                                  ( ( X11 = select2('Heap',X0,X1) )
                                                                                  & ( X12 = select2('Heap',X0,ownerFrame) )
                                                                                  & ( X13 = select2('Heap',X0,ownerRef) )
                                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                                        | ( X0 = nullObject )
                                                                                        | ( select2('Heap',X0,allocated) != true_1 )
                                                                                        | ~ ( ( X12 = 'PeerGroupPlaceholder' )
                                                                                            | ( x(select2('Heap',X13,inv),X12) != true_1 )
                                                                                            | ( select2('Heap',X13,localinv) = 'BaseClass'(X12) ) ) )
                                                                                   => ( X11 = X11 ) ) )
                                                                             => $true ) ) ) ) ) ) ) ) ) )
                                                    | ~ ( ~ ( ~ $lesseq(81,81)
                                                            | ~ $lesseq(81,81) )
                                                       => ( ( op_in != 81 )
                                                         => ( ~ ( ~ $lesseq(81,81)
                                                                | ~ $lesseq(81,81) )
                                                           => ( ~ ( ~ $lesseq(81,81)
                                                                  | ~ $lesseq(81,81) )
                                                             => ( ~ ( ~ $lesseq(81,81)
                                                                    | ~ $lesseq(81,81) )
                                                               => ( ~ ( ~ $lesseq(81,81)
                                                                      | ~ $lesseq(81,81) )
                                                                 => ( ~ ( ~ $lesseq(0,0)
                                                                        | ~ $lesseq(0,0)
                                                                        | ~ $lesseq(81,81)
                                                                        | ~ $lesseq(81,81) )
                                                                   => ( ( stack0i_2 = 81 )
                                                                     => ( ( return_value_0 = 0 )
                                                                       => ~ ( ~ ! [X0: $int,X1: $int] :
                                                                                ? [X14: $int,X15: $int,X16: $int] :
                                                                                  ( ( X14 = select2('Heap',X0,X1) )
                                                                                  & ( X15 = select2('Heap',X0,ownerFrame) )
                                                                                  & ( X16 = select2('Heap',X0,ownerRef) )
                                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                                        | ( X0 = nullObject )
                                                                                        | ( select2('Heap',X0,allocated) != true_1 )
                                                                                        | ~ ( ( X15 = 'PeerGroupPlaceholder' )
                                                                                            | ( x(select2('Heap',X16,inv),X15) != true_1 )
                                                                                            | ( select2('Heap',X16,localinv) = 'BaseClass'(X15) ) ) )
                                                                                   => ( X14 = X14 ) ) )
                                                                            | ~ ( ! [X0: $int,X1: $int] :
                                                                                  ? [X17: $int,X18: $int,X19: $int] :
                                                                                    ( ( X17 = select2('Heap',X0,X1) )
                                                                                    & ( X18 = select2('Heap',X0,ownerFrame) )
                                                                                    & ( X19 = select2('Heap',X0,ownerRef) )
                                                                                    & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                                          | ( X0 = nullObject )
                                                                                          | ( select2('Heap',X0,allocated) != true_1 )
                                                                                          | ~ ( ( X18 = 'PeerGroupPlaceholder' )
                                                                                              | ( x(select2('Heap',X19,inv),X18) != true_1 )
                                                                                              | ( select2('Heap',X19,localinv) = 'BaseClass'(X18) ) ) )
                                                                                     => ( X17 = X17 ) ) )
                                                                               => $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).

tff(f6,plain,
    ~ ( ( 'IsHeap'('Heap') = true_1 )
     => ( ( 'InRange'(op_in,'System_Int32') = true_1 )
       => ( ( 'InRange'(a_in,'System_Int32') = true_1 )
         => ( ( 'InRange'(b_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(result,'System_Int32') = true_1 )
             => ( ( 'InRange'(op,'System_Int32') = true_1 )
               => ( ( 'InRange'(a,'System_Int32') = true_1 )
                 => ( ( 'InRange'(b,'System_Int32') = true_1 )
                   => ( ( 'InRange'(local0,'System_Int32') = true_1 )
                     => ( ( 'InRange'(return_value,'System_Int32') = true_1 )
                       => ( ( 'InRange'('SS_Display_Return_Local','System_Int32') = true_1 )
                         => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
                           => ( ( 'BeingConstructed' = nullObject )
                             => ( ~ ( $less(80,80)
                                    | $less(80,80) )
                               => ~ ( ~ ( ~ ( $less(80,80)
                                            | $less(80,80) )
                                       => ( ( op_in = 80 )
                                         => ( ~ ( $less(op_in,80)
                                                | $less(80,op_in)
                                                | $less(80,80)
                                                | $less(80,80) )
                                           => ( ~ ( $less(op_in,80)
                                                  | $less(80,op_in)
                                                  | $less(80,80)
                                                  | $less(80,80) )
                                             => ( ( stack0i_1 = $sum(a_in,b_in) )
                                               => ( ~ ( $less(op_in,80)
                                                      | $less(80,op_in) )
                                                 => ( ( stack0i_2 = stack0i_1 )
                                                   => ( ( return_value_0 = stack0i_1 )
                                                     => ~ ( ~ ! [X0: $int,X1: $int] :
                                                              ? [X2: $int,X3: $int,X4: $int] :
                                                                ( ( X2 = select2('Heap',X0,X1) )
                                                                & ( X3 = select2('Heap',X0,ownerFrame) )
                                                                & ( X4 = select2('Heap',X0,ownerRef) )
                                                                & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                      | ( X0 = nullObject )
                                                                      | ( select2('Heap',X0,allocated) != true_1 )
                                                                      | ~ ( ( X3 = 'PeerGroupPlaceholder' )
                                                                          | ( x(select2('Heap',X4,inv),X3) != true_1 )
                                                                          | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) )
                                                                 => ( X2 = X2 ) ) )
                                                          | ~ ( ! [X0: $int,X1: $int] :
                                                                ? [X5: $int,X6: $int,X7: $int] :
                                                                  ( ( X5 = select2('Heap',X0,X1) )
                                                                  & ( X6 = select2('Heap',X0,ownerFrame) )
                                                                  & ( X7 = select2('Heap',X0,ownerRef) )
                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                        | ( X0 = nullObject )
                                                                        | ( select2('Heap',X0,allocated) != true_1 )
                                                                        | ~ ( ( X6 = 'PeerGroupPlaceholder' )
                                                                            | ( x(select2('Heap',X7,inv),X6) != true_1 )
                                                                            | ( select2('Heap',X7,localinv) = 'BaseClass'(X6) ) ) )
                                                                   => ( X5 = X5 ) ) )
                                                             => $true ) ) ) ) ) ) ) ) ) )
                                    | ~ ( ~ ( $less(80,80)
                                            | $less(80,80) )
                                       => ( ( op_in != 80 )
                                         => ( ~ ( $less(80,80)
                                                | $less(80,80) )
                                           => ( ~ ( $less(80,80)
                                                  | $less(80,80) )
                                             => ( ~ ( $less(81,81)
                                                    | $less(81,81) )
                                               => ~ ( ~ ( ~ ( $less(81,81)
                                                            | $less(81,81) )
                                                       => ( ( op_in = 81 )
                                                         => ( ~ ( $less(op_in,81)
                                                                | $less(81,op_in)
                                                                | $less(81,81)
                                                                | $less(81,81) )
                                                           => ( ~ ( $less(op_in,81)
                                                                  | $less(81,op_in)
                                                                  | $less(81,81)
                                                                  | $less(81,81) )
                                                             => ( ( stack0i_0 = $sum(a_in,$uminus(b_in)) )
                                                               => ( ~ ( $less(op_in,81)
                                                                      | $less(81,op_in) )
                                                                 => ( ( stack0i_2 = stack0i_0 )
                                                                   => ( ( return_value_0 = stack0i_0 )
                                                                     => ~ ( ~ ! [X0: $int,X1: $int] :
                                                                              ? [X8: $int,X9: $int,X10: $int] :
                                                                                ( ( X8 = select2('Heap',X0,X1) )
                                                                                & ( X9 = select2('Heap',X0,ownerFrame) )
                                                                                & ( X10 = select2('Heap',X0,ownerRef) )
                                                                                & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                                      | ( X0 = nullObject )
                                                                                      | ( select2('Heap',X0,allocated) != true_1 )
                                                                                      | ~ ( ( X9 = 'PeerGroupPlaceholder' )
                                                                                          | ( x(select2('Heap',X10,inv),X9) != true_1 )
                                                                                          | ( select2('Heap',X10,localinv) = 'BaseClass'(X9) ) ) )
                                                                                 => ( X8 = X8 ) ) )
                                                                          | ~ ( ! [X0: $int,X1: $int] :
                                                                                ? [X11: $int,X12: $int,X13: $int] :
                                                                                  ( ( X11 = select2('Heap',X0,X1) )
                                                                                  & ( X12 = select2('Heap',X0,ownerFrame) )
                                                                                  & ( X13 = select2('Heap',X0,ownerRef) )
                                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                                        | ( X0 = nullObject )
                                                                                        | ( select2('Heap',X0,allocated) != true_1 )
                                                                                        | ~ ( ( X12 = 'PeerGroupPlaceholder' )
                                                                                            | ( x(select2('Heap',X13,inv),X12) != true_1 )
                                                                                            | ( select2('Heap',X13,localinv) = 'BaseClass'(X12) ) ) )
                                                                                   => ( X11 = X11 ) ) )
                                                                             => $true ) ) ) ) ) ) ) ) ) )
                                                    | ~ ( ~ ( $less(81,81)
                                                            | $less(81,81) )
                                                       => ( ( op_in != 81 )
                                                         => ( ~ ( $less(81,81)
                                                                | $less(81,81) )
                                                           => ( ~ ( $less(81,81)
                                                                  | $less(81,81) )
                                                             => ( ~ ( $less(81,81)
                                                                    | $less(81,81) )
                                                               => ( ~ ( $less(81,81)
                                                                      | $less(81,81) )
                                                                 => ( ~ ( $less(0,0)
                                                                        | $less(0,0)
                                                                        | $less(81,81)
                                                                        | $less(81,81) )
                                                                   => ( ( stack0i_2 = 81 )
                                                                     => ( ( return_value_0 = 0 )
                                                                       => ~ ( ~ ! [X0: $int,X1: $int] :
                                                                                ? [X14: $int,X15: $int,X16: $int] :
                                                                                  ( ( X14 = select2('Heap',X0,X1) )
                                                                                  & ( X15 = select2('Heap',X0,ownerFrame) )
                                                                                  & ( X16 = select2('Heap',X0,ownerRef) )
                                                                                  & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                                        | ( X0 = nullObject )
                                                                                        | ( select2('Heap',X0,allocated) != true_1 )
                                                                                        | ~ ( ( X15 = 'PeerGroupPlaceholder' )
                                                                                            | ( x(select2('Heap',X16,inv),X15) != true_1 )
                                                                                            | ( select2('Heap',X16,localinv) = 'BaseClass'(X15) ) ) )
                                                                                   => ( X14 = X14 ) ) )
                                                                            | ~ ( ! [X0: $int,X1: $int] :
                                                                                  ? [X17: $int,X18: $int,X19: $int] :
                                                                                    ( ( X17 = select2('Heap',X0,X1) )
                                                                                    & ( X18 = select2('Heap',X0,ownerFrame) )
                                                                                    & ( X19 = select2('Heap',X0,ownerRef) )
                                                                                    & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                                          | ( X0 = nullObject )
                                                                                          | ( select2('Heap',X0,allocated) != true_1 )
                                                                                          | ~ ( ( X18 = 'PeerGroupPlaceholder' )
                                                                                              | ( x(select2('Heap',X19,inv),X18) != true_1 )
                                                                                              | ( select2('Heap',X19,localinv) = 'BaseClass'(X18) ) ) )
                                                                                     => ( X17 = X17 ) ) )
                                                                               => $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(theory_normalization,[],[f3]) ).

tff(f29,plain,
    ~ ( ( 'IsHeap'('Heap') = true_1 )
     => ( ( 'InRange'(op_in,'System_Int32') = true_1 )
       => ( ( 'InRange'(a_in,'System_Int32') = true_1 )
         => ( ( 'InRange'(b_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(result,'System_Int32') = true_1 )
             => ( ( 'InRange'(op,'System_Int32') = true_1 )
               => ( ( 'InRange'(a,'System_Int32') = true_1 )
                 => ( ( 'InRange'(b,'System_Int32') = true_1 )
                   => ( ( 'InRange'(local0,'System_Int32') = true_1 )
                     => ( ( 'InRange'(return_value,'System_Int32') = true_1 )
                       => ( ( 'InRange'('SS_Display_Return_Local','System_Int32') = true_1 )
                         => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
                           => ( ( 'BeingConstructed' = nullObject )
                             => ( ~ ( $less(80,80)
                                    | $less(80,80) )
                               => ~ ( ~ ( ~ ( $less(80,80)
                                            | $less(80,80) )
                                       => ( ( op_in = 80 )
                                         => ( ~ ( $less(op_in,80)
                                                | $less(80,op_in)
                                                | $less(80,80)
                                                | $less(80,80) )
                                           => ( ~ ( $less(op_in,80)
                                                  | $less(80,op_in)
                                                  | $less(80,80)
                                                  | $less(80,80) )
                                             => ( ( stack0i_1 = $sum(a_in,b_in) )
                                               => ( ~ ( $less(op_in,80)
                                                      | $less(80,op_in) )
                                                 => ( ( stack0i_2 = stack0i_1 )
                                                   => ( ( return_value_0 = stack0i_1 )
                                                     => ~ ( ~ ! [X0: $int,X1: $int] :
                                                              ? [X2: $int,X3: $int,X4: $int] :
                                                                ( ( X2 = select2('Heap',X0,X1) )
                                                                & ( X3 = select2('Heap',X0,ownerFrame) )
                                                                & ( X4 = select2('Heap',X0,ownerRef) )
                                                                & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                      | ( X0 = nullObject )
                                                                      | ( select2('Heap',X0,allocated) != true_1 )
                                                                      | ~ ( ( X3 = 'PeerGroupPlaceholder' )
                                                                          | ( x(select2('Heap',X4,inv),X3) != true_1 )
                                                                          | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) )
                                                                 => ( X2 = X2 ) ) )
                                                          | ~ ( ! [X5: $int,X6: $int] :
                                                                ? [X7: $int,X8: $int,X9: $int] :
                                                                  ( ( select2('Heap',X5,X6) = X7 )
                                                                  & ( select2('Heap',X5,ownerFrame) = X8 )
                                                                  & ( select2('Heap',X5,ownerRef) = X9 )
                                                                  & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X6) )
                                                                        | ( nullObject = X5 )
                                                                        | ( true_1 != select2('Heap',X5,allocated) )
                                                                        | ~ ( ( 'PeerGroupPlaceholder' = X8 )
                                                                            | ( true_1 != x(select2('Heap',X9,inv),X8) )
                                                                            | ( select2('Heap',X9,localinv) = 'BaseClass'(X8) ) ) )
                                                                   => ( X7 = X7 ) ) )
                                                             => $true ) ) ) ) ) ) ) ) ) )
                                    | ~ ( ~ ( $less(80,80)
                                            | $less(80,80) )
                                       => ( ( op_in != 80 )
                                         => ( ~ ( $less(80,80)
                                                | $less(80,80) )
                                           => ( ~ ( $less(80,80)
                                                  | $less(80,80) )
                                             => ( ~ ( $less(81,81)
                                                    | $less(81,81) )
                                               => ~ ( ~ ( ~ ( $less(81,81)
                                                            | $less(81,81) )
                                                       => ( ( op_in = 81 )
                                                         => ( ~ ( $less(op_in,81)
                                                                | $less(81,op_in)
                                                                | $less(81,81)
                                                                | $less(81,81) )
                                                           => ( ~ ( $less(op_in,81)
                                                                  | $less(81,op_in)
                                                                  | $less(81,81)
                                                                  | $less(81,81) )
                                                             => ( ( stack0i_0 = $sum(a_in,$uminus(b_in)) )
                                                               => ( ~ ( $less(op_in,81)
                                                                      | $less(81,op_in) )
                                                                 => ( ( stack0i_2 = stack0i_0 )
                                                                   => ( ( return_value_0 = stack0i_0 )
                                                                     => ~ ( ~ ! [X10: $int,X11: $int] :
                                                                              ? [X12: $int,X13: $int,X14: $int] :
                                                                                ( ( select2('Heap',X10,X11) = X12 )
                                                                                & ( select2('Heap',X10,ownerFrame) = X13 )
                                                                                & ( select2('Heap',X10,ownerRef) = X14 )
                                                                                & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X11) )
                                                                                      | ( nullObject = X10 )
                                                                                      | ( true_1 != select2('Heap',X10,allocated) )
                                                                                      | ~ ( ( 'PeerGroupPlaceholder' = X13 )
                                                                                          | ( true_1 != x(select2('Heap',X14,inv),X13) )
                                                                                          | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) )
                                                                                 => ( X12 = X12 ) ) )
                                                                          | ~ ( ! [X15: $int,X16: $int] :
                                                                                ? [X17: $int,X18: $int,X19: $int] :
                                                                                  ( ( select2('Heap',X15,X16) = X17 )
                                                                                  & ( select2('Heap',X15,ownerFrame) = X18 )
                                                                                  & ( select2('Heap',X15,ownerRef) = X19 )
                                                                                  & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X16) )
                                                                                        | ( nullObject = X15 )
                                                                                        | ( true_1 != select2('Heap',X15,allocated) )
                                                                                        | ~ ( ( 'PeerGroupPlaceholder' = X18 )
                                                                                            | ( true_1 != x(select2('Heap',X19,inv),X18) )
                                                                                            | ( select2('Heap',X19,localinv) = 'BaseClass'(X18) ) ) )
                                                                                   => ( X17 = X17 ) ) )
                                                                             => $true ) ) ) ) ) ) ) ) ) )
                                                    | ~ ( ~ ( $less(81,81)
                                                            | $less(81,81) )
                                                       => ( ( op_in != 81 )
                                                         => ( ~ ( $less(81,81)
                                                                | $less(81,81) )
                                                           => ( ~ ( $less(81,81)
                                                                  | $less(81,81) )
                                                             => ( ~ ( $less(81,81)
                                                                    | $less(81,81) )
                                                               => ( ~ ( $less(81,81)
                                                                      | $less(81,81) )
                                                                 => ( ~ ( $less(0,0)
                                                                        | $less(0,0)
                                                                        | $less(81,81)
                                                                        | $less(81,81) )
                                                                   => ( ( stack0i_2 = 81 )
                                                                     => ( ( return_value_0 = 0 )
                                                                       => ~ ( ~ ! [X20: $int,X21: $int] :
                                                                                ? [X22: $int,X23: $int,X24: $int] :
                                                                                  ( ( select2('Heap',X20,X21) = X22 )
                                                                                  & ( select2('Heap',X20,ownerFrame) = X23 )
                                                                                  & ( select2('Heap',X20,ownerRef) = X24 )
                                                                                  & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X21) )
                                                                                        | ( nullObject = X20 )
                                                                                        | ( true_1 != select2('Heap',X20,allocated) )
                                                                                        | ~ ( ( 'PeerGroupPlaceholder' = X23 )
                                                                                            | ( true_1 != x(select2('Heap',X24,inv),X23) )
                                                                                            | ( select2('Heap',X24,localinv) = 'BaseClass'(X23) ) ) )
                                                                                   => ( X22 = X22 ) ) )
                                                                            | ~ ( ! [X25: $int,X26: $int] :
                                                                                  ? [X27: $int,X28: $int,X29: $int] :
                                                                                    ( ( select2('Heap',X25,X26) = X27 )
                                                                                    & ( select2('Heap',X25,ownerFrame) = X28 )
                                                                                    & ( select2('Heap',X25,ownerRef) = X29 )
                                                                                    & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X26) )
                                                                                          | ( nullObject = X25 )
                                                                                          | ( true_1 != select2('Heap',X25,allocated) )
                                                                                          | ~ ( ( 'PeerGroupPlaceholder' = X28 )
                                                                                              | ( true_1 != x(select2('Heap',X29,inv),X28) )
                                                                                              | ( select2('Heap',X29,localinv) = 'BaseClass'(X28) ) ) )
                                                                                     => ( X27 = X27 ) ) )
                                                                               => $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f6]) ).

tff(f30,plain,
    ~ ( ( 'IsHeap'('Heap') = true_1 )
     => ( ( 'InRange'(op_in,'System_Int32') = true_1 )
       => ( ( 'InRange'(a_in,'System_Int32') = true_1 )
         => ( ( 'InRange'(b_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(result,'System_Int32') = true_1 )
             => ( ( 'InRange'(op,'System_Int32') = true_1 )
               => ( ( 'InRange'(a,'System_Int32') = true_1 )
                 => ( ( 'InRange'(b,'System_Int32') = true_1 )
                   => ( ( 'InRange'(local0,'System_Int32') = true_1 )
                     => ( ( 'InRange'(return_value,'System_Int32') = true_1 )
                       => ( ( 'InRange'('SS_Display_Return_Local','System_Int32') = true_1 )
                         => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
                           => ( ( 'BeingConstructed' = nullObject )
                             => ( ~ ( $less(80,80)
                                    | $less(80,80) )
                               => ~ ( ~ ( ~ ( $less(80,80)
                                            | $less(80,80) )
                                       => ( ( op_in = 80 )
                                         => ( ~ ( $less(op_in,80)
                                                | $less(80,op_in)
                                                | $less(80,80)
                                                | $less(80,80) )
                                           => ( ~ ( $less(op_in,80)
                                                  | $less(80,op_in)
                                                  | $less(80,80)
                                                  | $less(80,80) )
                                             => ( ( stack0i_1 = $sum(a_in,b_in) )
                                               => ( ~ ( $less(op_in,80)
                                                      | $less(80,op_in) )
                                                 => ( ( stack0i_2 = stack0i_1 )
                                                   => ( ( return_value_0 = stack0i_1 )
                                                     => ~ ~ ! [X0: $int,X1: $int] :
                                                            ? [X2: $int,X3: $int,X4: $int] :
                                                              ( ( X2 = select2('Heap',X0,X1) )
                                                              & ( X3 = select2('Heap',X0,ownerFrame) )
                                                              & ( X4 = select2('Heap',X0,ownerRef) )
                                                              & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                    | ( X0 = nullObject )
                                                                    | ( select2('Heap',X0,allocated) != true_1 )
                                                                    | ~ ( ( X3 = 'PeerGroupPlaceholder' )
                                                                        | ( x(select2('Heap',X4,inv),X3) != true_1 )
                                                                        | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) )
                                                               => ( X2 = X2 ) ) ) ) ) ) ) ) ) ) )
                                    | ~ ( ~ ( $less(80,80)
                                            | $less(80,80) )
                                       => ( ( op_in != 80 )
                                         => ( ~ ( $less(80,80)
                                                | $less(80,80) )
                                           => ( ~ ( $less(80,80)
                                                  | $less(80,80) )
                                             => ( ~ ( $less(81,81)
                                                    | $less(81,81) )
                                               => ~ ( ~ ( ~ ( $less(81,81)
                                                            | $less(81,81) )
                                                       => ( ( op_in = 81 )
                                                         => ( ~ ( $less(op_in,81)
                                                                | $less(81,op_in)
                                                                | $less(81,81)
                                                                | $less(81,81) )
                                                           => ( ~ ( $less(op_in,81)
                                                                  | $less(81,op_in)
                                                                  | $less(81,81)
                                                                  | $less(81,81) )
                                                             => ( ( stack0i_0 = $sum(a_in,$uminus(b_in)) )
                                                               => ( ~ ( $less(op_in,81)
                                                                      | $less(81,op_in) )
                                                                 => ( ( stack0i_2 = stack0i_0 )
                                                                   => ( ( return_value_0 = stack0i_0 )
                                                                     => ~ ~ ! [X10: $int,X11: $int] :
                                                                            ? [X12: $int,X13: $int,X14: $int] :
                                                                              ( ( select2('Heap',X10,X11) = X12 )
                                                                              & ( select2('Heap',X10,ownerFrame) = X13 )
                                                                              & ( select2('Heap',X10,ownerRef) = X14 )
                                                                              & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X11) )
                                                                                    | ( nullObject = X10 )
                                                                                    | ( true_1 != select2('Heap',X10,allocated) )
                                                                                    | ~ ( ( 'PeerGroupPlaceholder' = X13 )
                                                                                        | ( true_1 != x(select2('Heap',X14,inv),X13) )
                                                                                        | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) )
                                                                               => ( X12 = X12 ) ) ) ) ) ) ) ) ) ) )
                                                    | ~ ( ~ ( $less(81,81)
                                                            | $less(81,81) )
                                                       => ( ( op_in != 81 )
                                                         => ( ~ ( $less(81,81)
                                                                | $less(81,81) )
                                                           => ( ~ ( $less(81,81)
                                                                  | $less(81,81) )
                                                             => ( ~ ( $less(81,81)
                                                                    | $less(81,81) )
                                                               => ( ~ ( $less(81,81)
                                                                      | $less(81,81) )
                                                                 => ( ~ ( $less(0,0)
                                                                        | $less(0,0)
                                                                        | $less(81,81)
                                                                        | $less(81,81) )
                                                                   => ( ( stack0i_2 = 81 )
                                                                     => ( ( return_value_0 = 0 )
                                                                       => ~ ~ ! [X20: $int,X21: $int] :
                                                                              ? [X22: $int,X23: $int,X24: $int] :
                                                                                ( ( select2('Heap',X20,X21) = X22 )
                                                                                & ( select2('Heap',X20,ownerFrame) = X23 )
                                                                                & ( select2('Heap',X20,ownerRef) = X24 )
                                                                                & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X21) )
                                                                                      | ( nullObject = X20 )
                                                                                      | ( true_1 != select2('Heap',X20,allocated) )
                                                                                      | ~ ( ( 'PeerGroupPlaceholder' = X23 )
                                                                                          | ( true_1 != x(select2('Heap',X24,inv),X23) )
                                                                                          | ( select2('Heap',X24,localinv) = 'BaseClass'(X23) ) ) )
                                                                                 => ( X22 = X22 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(true_and_false_elimination,[],[f29]) ).

tff(f31,plain,
    ~ ( ( 'IsHeap'('Heap') = true_1 )
     => ( ( 'InRange'(op_in,'System_Int32') = true_1 )
       => ( ( 'InRange'(a_in,'System_Int32') = true_1 )
         => ( ( 'InRange'(b_in,'System_Int32') = true_1 )
           => ( ( 'InRange'(result,'System_Int32') = true_1 )
             => ( ( 'InRange'(op,'System_Int32') = true_1 )
               => ( ( 'InRange'(a,'System_Int32') = true_1 )
                 => ( ( 'InRange'(b,'System_Int32') = true_1 )
                   => ( ( 'InRange'(local0,'System_Int32') = true_1 )
                     => ( ( 'InRange'(return_value,'System_Int32') = true_1 )
                       => ( ( 'InRange'('SS_Display_Return_Local','System_Int32') = true_1 )
                         => ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
                           => ( ( 'BeingConstructed' = nullObject )
                             => ( ~ ( $less(80,80)
                                    | $less(80,80) )
                               => ~ ( ~ ( ~ ( $less(80,80)
                                            | $less(80,80) )
                                       => ( ( op_in = 80 )
                                         => ( ~ ( $less(op_in,80)
                                                | $less(80,op_in)
                                                | $less(80,80)
                                                | $less(80,80) )
                                           => ( ~ ( $less(op_in,80)
                                                  | $less(80,op_in)
                                                  | $less(80,80)
                                                  | $less(80,80) )
                                             => ( ( stack0i_1 = $sum(a_in,b_in) )
                                               => ( ~ ( $less(op_in,80)
                                                      | $less(80,op_in) )
                                                 => ( ( stack0i_2 = stack0i_1 )
                                                   => ( ( return_value_0 = stack0i_1 )
                                                     => ! [X0: $int,X1: $int] :
                                                        ? [X2: $int,X3: $int,X4: $int] :
                                                          ( ( X2 = select2('Heap',X0,X1) )
                                                          & ( X3 = select2('Heap',X0,ownerFrame) )
                                                          & ( X4 = select2('Heap',X0,ownerRef) )
                                                          & ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
                                                                | ( X0 = nullObject )
                                                                | ( select2('Heap',X0,allocated) != true_1 )
                                                                | ~ ( ( X3 = 'PeerGroupPlaceholder' )
                                                                    | ( x(select2('Heap',X4,inv),X3) != true_1 )
                                                                    | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) )
                                                           => ( X2 = X2 ) ) ) ) ) ) ) ) ) ) )
                                    | ~ ( ~ ( $less(80,80)
                                            | $less(80,80) )
                                       => ( ( op_in != 80 )
                                         => ( ~ ( $less(80,80)
                                                | $less(80,80) )
                                           => ( ~ ( $less(80,80)
                                                  | $less(80,80) )
                                             => ( ~ ( $less(81,81)
                                                    | $less(81,81) )
                                               => ~ ( ~ ( ~ ( $less(81,81)
                                                            | $less(81,81) )
                                                       => ( ( op_in = 81 )
                                                         => ( ~ ( $less(op_in,81)
                                                                | $less(81,op_in)
                                                                | $less(81,81)
                                                                | $less(81,81) )
                                                           => ( ~ ( $less(op_in,81)
                                                                  | $less(81,op_in)
                                                                  | $less(81,81)
                                                                  | $less(81,81) )
                                                             => ( ( stack0i_0 = $sum(a_in,$uminus(b_in)) )
                                                               => ( ~ ( $less(op_in,81)
                                                                      | $less(81,op_in) )
                                                                 => ( ( stack0i_2 = stack0i_0 )
                                                                   => ( ( return_value_0 = stack0i_0 )
                                                                     => ! [X10: $int,X11: $int] :
                                                                        ? [X12: $int,X13: $int,X14: $int] :
                                                                          ( ( select2('Heap',X10,X11) = X12 )
                                                                          & ( select2('Heap',X10,ownerFrame) = X13 )
                                                                          & ( select2('Heap',X10,ownerRef) = X14 )
                                                                          & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X11) )
                                                                                | ( nullObject = X10 )
                                                                                | ( true_1 != select2('Heap',X10,allocated) )
                                                                                | ~ ( ( 'PeerGroupPlaceholder' = X13 )
                                                                                    | ( true_1 != x(select2('Heap',X14,inv),X13) )
                                                                                    | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) )
                                                                           => ( X12 = X12 ) ) ) ) ) ) ) ) ) ) )
                                                    | ~ ( ~ ( $less(81,81)
                                                            | $less(81,81) )
                                                       => ( ( op_in != 81 )
                                                         => ( ~ ( $less(81,81)
                                                                | $less(81,81) )
                                                           => ( ~ ( $less(81,81)
                                                                  | $less(81,81) )
                                                             => ( ~ ( $less(81,81)
                                                                    | $less(81,81) )
                                                               => ( ~ ( $less(81,81)
                                                                      | $less(81,81) )
                                                                 => ( ~ ( $less(0,0)
                                                                        | $less(0,0)
                                                                        | $less(81,81)
                                                                        | $less(81,81) )
                                                                   => ( ( stack0i_2 = 81 )
                                                                     => ( ( return_value_0 = 0 )
                                                                       => ! [X20: $int,X21: $int] :
                                                                          ? [X22: $int,X23: $int,X24: $int] :
                                                                            ( ( select2('Heap',X20,X21) = X22 )
                                                                            & ( select2('Heap',X20,ownerFrame) = X23 )
                                                                            & ( select2('Heap',X20,ownerRef) = X24 )
                                                                            & ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X21) )
                                                                                  | ( nullObject = X20 )
                                                                                  | ( true_1 != select2('Heap',X20,allocated) )
                                                                                  | ~ ( ( 'PeerGroupPlaceholder' = X23 )
                                                                                      | ( true_1 != x(select2('Heap',X24,inv),X23) )
                                                                                      | ( select2('Heap',X24,localinv) = 'BaseClass'(X23) ) ) )
                                                                             => ( X22 = X22 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
    inference(flattening,[],[f30]) ).

tff(f36,plain,
    ( ( ( ? [X0: $int,X1: $int] :
          ! [X2: $int,X3: $int,X4: $int] :
            ( ( select2('Heap',X0,X1) != X2 )
            | ( select2('Heap',X0,ownerFrame) != X3 )
            | ( select2('Heap',X0,ownerRef) != X4 )
            | ( ( X2 != X2 )
              & ( true_1 = 'IncludeInMainFrameCondition'(X1) )
              & ( nullObject != X0 )
              & ( true_1 = select2('Heap',X0,allocated) )
              & ( ( X3 = 'PeerGroupPlaceholder' )
                | ( x(select2('Heap',X4,inv),X3) != true_1 )
                | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
        & ( return_value_0 = stack0i_1 )
        & ( stack0i_2 = stack0i_1 )
        & ~ $less(op_in,80)
        & ~ $less(80,op_in)
        & ( stack0i_1 = $sum(a_in,b_in) )
        & ~ $less(op_in,80)
        & ~ $less(80,op_in)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ~ $less(op_in,80)
        & ~ $less(80,op_in)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ( op_in = 80 )
        & ~ $less(80,80)
        & ~ $less(80,80) )
      | ( ( ( ? [X10: $int,X11: $int] :
              ! [X12: $int,X13: $int,X14: $int] :
                ( ( select2('Heap',X10,X11) != X12 )
                | ( select2('Heap',X10,ownerFrame) != X13 )
                | ( select2('Heap',X10,ownerRef) != X14 )
                | ( ( X12 != X12 )
                  & ( true_1 = 'IncludeInMainFrameCondition'(X11) )
                  & ( nullObject != X10 )
                  & ( true_1 = select2('Heap',X10,allocated) )
                  & ( ( 'PeerGroupPlaceholder' = X13 )
                    | ( true_1 != x(select2('Heap',X14,inv),X13) )
                    | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) ) )
            & ( return_value_0 = stack0i_0 )
            & ( stack0i_2 = stack0i_0 )
            & ~ $less(op_in,81)
            & ~ $less(81,op_in)
            & ( stack0i_0 = $sum(a_in,$uminus(b_in)) )
            & ~ $less(op_in,81)
            & ~ $less(81,op_in)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(op_in,81)
            & ~ $less(81,op_in)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ( op_in = 81 )
            & ~ $less(81,81)
            & ~ $less(81,81) )
          | ( ? [X20: $int,X21: $int] :
              ! [X22: $int,X23: $int,X24: $int] :
                ( ( select2('Heap',X20,X21) != X22 )
                | ( select2('Heap',X20,ownerFrame) != X23 )
                | ( select2('Heap',X20,ownerRef) != X24 )
                | ( ( X22 != X22 )
                  & ( true_1 = 'IncludeInMainFrameCondition'(X21) )
                  & ( nullObject != X20 )
                  & ( true_1 = select2('Heap',X20,allocated) )
                  & ( ( 'PeerGroupPlaceholder' = X23 )
                    | ( true_1 != x(select2('Heap',X24,inv),X23) )
                    | ( select2('Heap',X24,localinv) = 'BaseClass'(X23) ) ) ) )
            & ( return_value_0 = 0 )
            & ( stack0i_2 = 81 )
            & ~ $less(0,0)
            & ~ $less(0,0)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ( op_in != 81 )
            & ~ $less(81,81)
            & ~ $less(81,81) ) )
        & ~ $less(81,81)
        & ~ $less(81,81)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ( op_in != 80 )
        & ~ $less(80,80)
        & ~ $less(80,80) ) )
    & ~ $less(80,80)
    & ~ $less(80,80)
    & ( 'BeingConstructed' = nullObject )
    & ( 'PurityAxiomsCanBeAssumed' = true_1 )
    & ( 'InRange'('SS_Display_Return_Local','System_Int32') = true_1 )
    & ( 'InRange'(return_value,'System_Int32') = true_1 )
    & ( 'InRange'(local0,'System_Int32') = true_1 )
    & ( 'InRange'(b,'System_Int32') = true_1 )
    & ( 'InRange'(a,'System_Int32') = true_1 )
    & ( 'InRange'(op,'System_Int32') = true_1 )
    & ( 'InRange'(result,'System_Int32') = true_1 )
    & ( 'InRange'(b_in,'System_Int32') = true_1 )
    & ( 'InRange'(a_in,'System_Int32') = true_1 )
    & ( 'InRange'(op_in,'System_Int32') = true_1 )
    & ( 'IsHeap'('Heap') = true_1 ) ),
    inference(ennf_transformation,[],[f31]) ).

tff(f37,plain,
    ( ( ( ? [X0: $int,X1: $int] :
          ! [X2: $int,X3: $int,X4: $int] :
            ( ( select2('Heap',X0,X1) != X2 )
            | ( select2('Heap',X0,ownerFrame) != X3 )
            | ( select2('Heap',X0,ownerRef) != X4 )
            | ( ( X2 != X2 )
              & ( true_1 = 'IncludeInMainFrameCondition'(X1) )
              & ( nullObject != X0 )
              & ( true_1 = select2('Heap',X0,allocated) )
              & ( ( X3 = 'PeerGroupPlaceholder' )
                | ( x(select2('Heap',X4,inv),X3) != true_1 )
                | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
        & ( return_value_0 = stack0i_1 )
        & ( stack0i_2 = stack0i_1 )
        & ~ $less(op_in,80)
        & ~ $less(80,op_in)
        & ( stack0i_1 = $sum(a_in,b_in) )
        & ~ $less(op_in,80)
        & ~ $less(80,op_in)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ~ $less(op_in,80)
        & ~ $less(80,op_in)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ( op_in = 80 )
        & ~ $less(80,80)
        & ~ $less(80,80) )
      | ( ( ( ? [X10: $int,X11: $int] :
              ! [X12: $int,X13: $int,X14: $int] :
                ( ( select2('Heap',X10,X11) != X12 )
                | ( select2('Heap',X10,ownerFrame) != X13 )
                | ( select2('Heap',X10,ownerRef) != X14 )
                | ( ( X12 != X12 )
                  & ( true_1 = 'IncludeInMainFrameCondition'(X11) )
                  & ( nullObject != X10 )
                  & ( true_1 = select2('Heap',X10,allocated) )
                  & ( ( 'PeerGroupPlaceholder' = X13 )
                    | ( true_1 != x(select2('Heap',X14,inv),X13) )
                    | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) ) )
            & ( return_value_0 = stack0i_0 )
            & ( stack0i_2 = stack0i_0 )
            & ~ $less(op_in,81)
            & ~ $less(81,op_in)
            & ( stack0i_0 = $sum(a_in,$uminus(b_in)) )
            & ~ $less(op_in,81)
            & ~ $less(81,op_in)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(op_in,81)
            & ~ $less(81,op_in)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ( op_in = 81 )
            & ~ $less(81,81)
            & ~ $less(81,81) )
          | ( ? [X20: $int,X21: $int] :
              ! [X22: $int,X23: $int,X24: $int] :
                ( ( select2('Heap',X20,X21) != X22 )
                | ( select2('Heap',X20,ownerFrame) != X23 )
                | ( select2('Heap',X20,ownerRef) != X24 )
                | ( ( X22 != X22 )
                  & ( true_1 = 'IncludeInMainFrameCondition'(X21) )
                  & ( nullObject != X20 )
                  & ( true_1 = select2('Heap',X20,allocated) )
                  & ( ( 'PeerGroupPlaceholder' = X23 )
                    | ( true_1 != x(select2('Heap',X24,inv),X23) )
                    | ( select2('Heap',X24,localinv) = 'BaseClass'(X23) ) ) ) )
            & ( return_value_0 = 0 )
            & ( stack0i_2 = 81 )
            & ~ $less(0,0)
            & ~ $less(0,0)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ~ $less(81,81)
            & ( op_in != 81 )
            & ~ $less(81,81)
            & ~ $less(81,81) ) )
        & ~ $less(81,81)
        & ~ $less(81,81)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ~ $less(80,80)
        & ( op_in != 80 )
        & ~ $less(80,80)
        & ~ $less(80,80) ) )
    & ~ $less(80,80)
    & ~ $less(80,80)
    & ( 'BeingConstructed' = nullObject )
    & ( 'PurityAxiomsCanBeAssumed' = true_1 )
    & ( 'InRange'('SS_Display_Return_Local','System_Int32') = true_1 )
    & ( 'InRange'(return_value,'System_Int32') = true_1 )
    & ( 'InRange'(local0,'System_Int32') = true_1 )
    & ( 'InRange'(b,'System_Int32') = true_1 )
    & ( 'InRange'(a,'System_Int32') = true_1 )
    & ( 'InRange'(op,'System_Int32') = true_1 )
    & ( 'InRange'(result,'System_Int32') = true_1 )
    & ( 'InRange'(b_in,'System_Int32') = true_1 )
    & ( 'InRange'(a_in,'System_Int32') = true_1 )
    & ( 'InRange'(op_in,'System_Int32') = true_1 )
    & ( 'IsHeap'('Heap') = true_1 ) ),
    inference(flattening,[],[f36]) ).

tff(f42,definition,
    ( ? [X20: $int,X21: $int] :
      ! [X22: $int,X23: $int,X24: $int] :
        ( ( select2('Heap',X20,X21) != X22 )
        | ( select2('Heap',X20,ownerFrame) != X23 )
        | ( select2('Heap',X20,ownerRef) != X24 )
        | ( ( X22 != X22 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X21) )
          & ( nullObject != X20 )
          & ( true_1 = select2('Heap',X20,allocated) )
          & ( ( 'PeerGroupPlaceholder' = X23 )
            | ( true_1 != x(select2('Heap',X24,inv),X23) )
            | ( select2('Heap',X24,localinv) = 'BaseClass'(X23) ) ) ) )
    | ~ sP3 ),
    introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).

tff(f43,definition,
    ( ? [X10: $int,X11: $int] :
      ! [X12: $int,X13: $int,X14: $int] :
        ( ( select2('Heap',X10,X11) != X12 )
        | ( select2('Heap',X10,ownerFrame) != X13 )
        | ( select2('Heap',X10,ownerRef) != X14 )
        | ( ( X12 != X12 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X11) )
          & ( nullObject != X10 )
          & ( true_1 = select2('Heap',X10,allocated) )
          & ( ( 'PeerGroupPlaceholder' = X13 )
            | ( true_1 != x(select2('Heap',X14,inv),X13) )
            | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) ) )
    | ~ sP4 ),
    introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).

tff(f44,definition,
    ( ( sP3
      & ( return_value_0 = 0 )
      & ( stack0i_2 = 81 )
      & ~ $less(0,0)
      & ~ $less(0,0)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ( op_in != 81 )
      & ~ $less(81,81)
      & ~ $less(81,81) )
    | ~ sP5 ),
    introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).

tff(f45,definition,
    ( ( sP4
      & ( return_value_0 = stack0i_0 )
      & ( stack0i_2 = stack0i_0 )
      & ~ $less(op_in,81)
      & ~ $less(81,op_in)
      & ( stack0i_0 = $sum(a_in,$uminus(b_in)) )
      & ~ $less(op_in,81)
      & ~ $less(81,op_in)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(op_in,81)
      & ~ $less(81,op_in)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ( op_in = 81 )
      & ~ $less(81,81)
      & ~ $less(81,81) )
    | ~ sP6 ),
    introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).

tff(f46,definition,
    ( ? [X0: $int,X1: $int] :
      ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',X0,X1) != X2 )
        | ( select2('Heap',X0,ownerFrame) != X3 )
        | ( select2('Heap',X0,ownerRef) != X4 )
        | ( ( X2 != X2 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X1) )
          & ( nullObject != X0 )
          & ( true_1 = select2('Heap',X0,allocated) )
          & ( ( X3 = 'PeerGroupPlaceholder' )
            | ( x(select2('Heap',X4,inv),X3) != true_1 )
            | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
    | ~ sP7 ),
    introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).

tff(f47,definition,
    ( ( ( sP6
        | sP5 )
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ( op_in != 80 )
      & ~ $less(80,80)
      & ~ $less(80,80) )
    | ~ sP8 ),
    introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).

tff(f48,definition,
    ( ( sP7
      & ( return_value_0 = stack0i_1 )
      & ( stack0i_2 = stack0i_1 )
      & ~ $less(op_in,80)
      & ~ $less(80,op_in)
      & ( stack0i_1 = $sum(a_in,b_in) )
      & ~ $less(op_in,80)
      & ~ $less(80,op_in)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ~ $less(op_in,80)
      & ~ $less(80,op_in)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ( op_in = 80 )
      & ~ $less(80,80)
      & ~ $less(80,80) )
    | ~ sP9 ),
    introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).

tff(f49,plain,
    ( ( sP9
      | sP8 )
    & ~ $less(80,80)
    & ~ $less(80,80)
    & ( 'BeingConstructed' = nullObject )
    & ( 'PurityAxiomsCanBeAssumed' = true_1 )
    & ( 'InRange'('SS_Display_Return_Local','System_Int32') = true_1 )
    & ( 'InRange'(return_value,'System_Int32') = true_1 )
    & ( 'InRange'(local0,'System_Int32') = true_1 )
    & ( 'InRange'(b,'System_Int32') = true_1 )
    & ( 'InRange'(a,'System_Int32') = true_1 )
    & ( 'InRange'(op,'System_Int32') = true_1 )
    & ( 'InRange'(result,'System_Int32') = true_1 )
    & ( 'InRange'(b_in,'System_Int32') = true_1 )
    & ( 'InRange'(a_in,'System_Int32') = true_1 )
    & ( 'InRange'(op_in,'System_Int32') = true_1 )
    & ( 'IsHeap'('Heap') = true_1 ) ),
    inference(definition_folding,[],[f37,f48,f47,f46,f45,f44,f43,f42]) ).

tff(f63,plain,
    ( ( sP7
      & ( return_value_0 = stack0i_1 )
      & ( stack0i_2 = stack0i_1 )
      & ~ $less(op_in,80)
      & ~ $less(80,op_in)
      & ( stack0i_1 = $sum(a_in,b_in) )
      & ~ $less(op_in,80)
      & ~ $less(80,op_in)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ~ $less(op_in,80)
      & ~ $less(80,op_in)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ( op_in = 80 )
      & ~ $less(80,80)
      & ~ $less(80,80) )
    | ~ sP9 ),
    inference(nnf_transformation,[],[f48]) ).

tff(f64,plain,
    ( ( ( sP6
        | sP5 )
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ~ $less(80,80)
      & ( op_in != 80 )
      & ~ $less(80,80)
      & ~ $less(80,80) )
    | ~ sP8 ),
    inference(nnf_transformation,[],[f47]) ).

tff(f65,plain,
    ( ? [X0: $int,X1: $int] :
      ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',X0,X1) != X2 )
        | ( select2('Heap',X0,ownerFrame) != X3 )
        | ( select2('Heap',X0,ownerRef) != X4 )
        | ( ( X2 != X2 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X1) )
          & ( nullObject != X0 )
          & ( true_1 = select2('Heap',X0,allocated) )
          & ( ( X3 = 'PeerGroupPlaceholder' )
            | ( x(select2('Heap',X4,inv),X3) != true_1 )
            | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
    | ~ sP7 ),
    inference(nnf_transformation,[],[f46]) ).

tff(f66,plain,
    ( ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',sK86,sK87) != X2 )
        | ( select2('Heap',sK86,ownerFrame) != X3 )
        | ( select2('Heap',sK86,ownerRef) != X4 )
        | ( ( X2 != X2 )
          & ( true_1 = 'IncludeInMainFrameCondition'(sK87) )
          & ( nullObject != sK86 )
          & ( true_1 = select2('Heap',sK86,allocated) )
          & ( ( X3 = 'PeerGroupPlaceholder' )
            | ( x(select2('Heap',X4,inv),X3) != true_1 )
            | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
    | ~ sP7 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK86,sK87]),skolemize(X0,sK86),skolemize(X1,sK87)],[f65]) ).

tff(f67,plain,
    ( ( sP4
      & ( return_value_0 = stack0i_0 )
      & ( stack0i_2 = stack0i_0 )
      & ~ $less(op_in,81)
      & ~ $less(81,op_in)
      & ( stack0i_0 = $sum(a_in,$uminus(b_in)) )
      & ~ $less(op_in,81)
      & ~ $less(81,op_in)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(op_in,81)
      & ~ $less(81,op_in)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ( op_in = 81 )
      & ~ $less(81,81)
      & ~ $less(81,81) )
    | ~ sP6 ),
    inference(nnf_transformation,[],[f45]) ).

tff(f68,plain,
    ( ( sP3
      & ( return_value_0 = 0 )
      & ( stack0i_2 = 81 )
      & ~ $less(0,0)
      & ~ $less(0,0)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ~ $less(81,81)
      & ( op_in != 81 )
      & ~ $less(81,81)
      & ~ $less(81,81) )
    | ~ sP5 ),
    inference(nnf_transformation,[],[f44]) ).

tff(f69,plain,
    ( ? [X10: $int,X11: $int] :
      ! [X12: $int,X13: $int,X14: $int] :
        ( ( select2('Heap',X10,X11) != X12 )
        | ( select2('Heap',X10,ownerFrame) != X13 )
        | ( select2('Heap',X10,ownerRef) != X14 )
        | ( ( X12 != X12 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X11) )
          & ( nullObject != X10 )
          & ( true_1 = select2('Heap',X10,allocated) )
          & ( ( 'PeerGroupPlaceholder' = X13 )
            | ( true_1 != x(select2('Heap',X14,inv),X13) )
            | ( select2('Heap',X14,localinv) = 'BaseClass'(X13) ) ) ) )
    | ~ sP4 ),
    inference(nnf_transformation,[],[f43]) ).

tff(f70,plain,
    ( ? [X0: $int,X1: $int] :
      ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',X0,X1) != X2 )
        | ( select2('Heap',X0,ownerFrame) != X3 )
        | ( select2('Heap',X0,ownerRef) != X4 )
        | ( ( X2 != X2 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X1) )
          & ( nullObject != X0 )
          & ( true_1 = select2('Heap',X0,allocated) )
          & ( ( 'PeerGroupPlaceholder' = X3 )
            | ( true_1 != x(select2('Heap',X4,inv),X3) )
            | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
    | ~ sP4 ),
    inference(rectify,[],[f69]) ).

tff(f71,plain,
    ( ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',sK88,sK89) != X2 )
        | ( select2('Heap',sK88,ownerFrame) != X3 )
        | ( select2('Heap',sK88,ownerRef) != X4 )
        | ( ( X2 != X2 )
          & ( true_1 = 'IncludeInMainFrameCondition'(sK89) )
          & ( nullObject != sK88 )
          & ( true_1 = select2('Heap',sK88,allocated) )
          & ( ( 'PeerGroupPlaceholder' = X3 )
            | ( true_1 != x(select2('Heap',X4,inv),X3) )
            | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
    | ~ sP4 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK88,sK89]),skolemize(X0,sK88),skolemize(X1,sK89)],[f70]) ).

tff(f72,plain,
    ( ? [X20: $int,X21: $int] :
      ! [X22: $int,X23: $int,X24: $int] :
        ( ( select2('Heap',X20,X21) != X22 )
        | ( select2('Heap',X20,ownerFrame) != X23 )
        | ( select2('Heap',X20,ownerRef) != X24 )
        | ( ( X22 != X22 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X21) )
          & ( nullObject != X20 )
          & ( true_1 = select2('Heap',X20,allocated) )
          & ( ( 'PeerGroupPlaceholder' = X23 )
            | ( true_1 != x(select2('Heap',X24,inv),X23) )
            | ( select2('Heap',X24,localinv) = 'BaseClass'(X23) ) ) ) )
    | ~ sP3 ),
    inference(nnf_transformation,[],[f42]) ).

tff(f73,plain,
    ( ? [X0: $int,X1: $int] :
      ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',X0,X1) != X2 )
        | ( select2('Heap',X0,ownerFrame) != X3 )
        | ( select2('Heap',X0,ownerRef) != X4 )
        | ( ( X2 != X2 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X1) )
          & ( nullObject != X0 )
          & ( true_1 = select2('Heap',X0,allocated) )
          & ( ( 'PeerGroupPlaceholder' = X3 )
            | ( true_1 != x(select2('Heap',X4,inv),X3) )
            | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
    | ~ sP3 ),
    inference(rectify,[],[f72]) ).

tff(f74,plain,
    ( ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',sK90,sK91) != X2 )
        | ( select2('Heap',sK90,ownerFrame) != X3 )
        | ( select2('Heap',sK90,ownerRef) != X4 )
        | ( ( X2 != X2 )
          & ( true_1 = 'IncludeInMainFrameCondition'(sK91) )
          & ( nullObject != sK90 )
          & ( true_1 = select2('Heap',sK90,allocated) )
          & ( ( 'PeerGroupPlaceholder' = X3 )
            | ( true_1 != x(select2('Heap',X4,inv),X3) )
            | ( select2('Heap',X4,localinv) = 'BaseClass'(X3) ) ) ) )
    | ~ sP3 ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK90,sK91]),skolemize(X0,sK90),skolemize(X1,sK91)],[f73]) ).

tff(f3265,plain,
    ( sP7
    | ~ sP9 ),
    inference(cnf_transformation,[],[f63]) ).

tff(f3275,plain,
    ( sP6
    | sP5
    | ~ sP8 ),
    inference(cnf_transformation,[],[f64]) ).

tff(f3280,plain,
    ! [X2: $int,X3: $int,X4: $int] :
      ( ( select2('Heap',sK86,sK87) != X2 )
      | ( select2('Heap',sK86,ownerFrame) != X3 )
      | ( select2('Heap',sK86,ownerRef) != X4 )
      | ( X2 != X2 )
      | ~ sP7 ),
    inference(cnf_transformation,[],[f66]) ).

tff(f3297,plain,
    ( sP4
    | ~ sP6 ),
    inference(cnf_transformation,[],[f67]) ).

tff(f3315,plain,
    ( sP3
    | ~ sP5 ),
    inference(cnf_transformation,[],[f68]) ).

tff(f3320,plain,
    ! [X2: $int,X3: $int,X4: $int] :
      ( ( select2('Heap',sK88,sK89) != X2 )
      | ( select2('Heap',sK88,ownerFrame) != X3 )
      | ( select2('Heap',sK88,ownerRef) != X4 )
      | ( X2 != X2 )
      | ~ sP4 ),
    inference(cnf_transformation,[],[f71]) ).

tff(f3325,plain,
    ! [X2: $int,X3: $int,X4: $int] :
      ( ( select2('Heap',sK90,sK91) != X2 )
      | ( select2('Heap',sK90,ownerFrame) != X3 )
      | ( select2('Heap',sK90,ownerRef) != X4 )
      | ( X2 != X2 )
      | ~ sP3 ),
    inference(cnf_transformation,[],[f74]) ).

tff(f3341,plain,
    ( sP9
    | sP8 ),
    inference(cnf_transformation,[],[f49]) ).

tff(f4114,plain,
    ! [X3: $int,X4: $int] :
      ( ( select2('Heap',sK86,ownerFrame) != X3 )
      | ( select2('Heap',sK86,ownerRef) != X4 )
      | ( select2('Heap',sK86,sK87) != select2('Heap',sK86,sK87) )
      | ~ sP7 ),
    inference(equality_resolution,[],[f3280]) ).

tff(f4115,plain,
    ! [X4: $int] :
      ( ( select2('Heap',sK86,ownerRef) != X4 )
      | ( select2('Heap',sK86,sK87) != select2('Heap',sK86,sK87) )
      | ~ sP7 ),
    inference(equality_resolution,[],[f4114]) ).

tff(f4116,plain,
    ( ( select2('Heap',sK86,sK87) != select2('Heap',sK86,sK87) )
    | ~ sP7 ),
    inference(equality_resolution,[],[f4115]) ).

tff(f4129,plain,
    ! [X3: $int,X4: $int] :
      ( ( select2('Heap',sK88,ownerFrame) != X3 )
      | ( select2('Heap',sK88,ownerRef) != X4 )
      | ( select2('Heap',sK88,sK89) != select2('Heap',sK88,sK89) )
      | ~ sP4 ),
    inference(equality_resolution,[],[f3320]) ).

tff(f4130,plain,
    ! [X4: $int] :
      ( ( select2('Heap',sK88,ownerRef) != X4 )
      | ( select2('Heap',sK88,sK89) != select2('Heap',sK88,sK89) )
      | ~ sP4 ),
    inference(equality_resolution,[],[f4129]) ).

tff(f4131,plain,
    ( ( select2('Heap',sK88,sK89) != select2('Heap',sK88,sK89) )
    | ~ sP4 ),
    inference(equality_resolution,[],[f4130]) ).

tff(f4144,plain,
    ! [X3: $int,X4: $int] :
      ( ( select2('Heap',sK90,ownerFrame) != X3 )
      | ( select2('Heap',sK90,ownerRef) != X4 )
      | ( select2('Heap',sK90,sK91) != select2('Heap',sK90,sK91) )
      | ~ sP3 ),
    inference(equality_resolution,[],[f3325]) ).

tff(f4145,plain,
    ! [X4: $int] :
      ( ( select2('Heap',sK90,ownerRef) != X4 )
      | ( select2('Heap',sK90,sK91) != select2('Heap',sK90,sK91) )
      | ~ sP3 ),
    inference(equality_resolution,[],[f4144]) ).

tff(f4146,plain,
    ( ( select2('Heap',sK90,sK91) != select2('Heap',sK90,sK91) )
    | ~ sP3 ),
    inference(equality_resolution,[],[f4145]) ).

tff(f4170,plain,
    ( ~ sP7
    | sP9 ),
    inference(consistent_polarity_flipping,[],[f3265]) ).

tff(f4187,plain,
    ( ~ sP6
    | sP5
    | sP8 ),
    inference(consistent_polarity_flipping,[],[f3275]) ).

tff(f4197,plain,
    ( ( select2('Heap',sK86,sK87) != select2('Heap',sK86,sK87) )
    | sP7 ),
    inference(consistent_polarity_flipping,[],[f4116]) ).

tff(f4202,plain,
    ( ~ sP4
    | sP6 ),
    inference(consistent_polarity_flipping,[],[f3297]) ).

tff(f4219,plain,
    ( ~ sP3
    | ~ sP5 ),
    inference(consistent_polarity_flipping,[],[f3315]) ).

tff(f4220,plain,
    ( ( select2('Heap',sK88,sK89) != select2('Heap',sK88,sK89) )
    | sP4 ),
    inference(consistent_polarity_flipping,[],[f4131]) ).

tff(f4225,plain,
    ( ( select2('Heap',sK90,sK91) != select2('Heap',sK90,sK91) )
    | sP3 ),
    inference(consistent_polarity_flipping,[],[f4146]) ).

tff(f4230,plain,
    ( ~ sP9
    | ~ sP8 ),
    inference(consistent_polarity_flipping,[],[f3341]) ).

tff(f4231,plain,
    sP3,
    inference(trivial_inequality_removal,[],[f4225]) ).

tff(f4232,plain,
    sP4,
    inference(trivial_inequality_removal,[],[f4220]) ).

tff(f4233,plain,
    sP7,
    inference(trivial_inequality_removal,[],[f4197]) ).

tff(f4271,definition,
    ( spl92_1
  <=> sP8 ),
    introduced(definition,[new_symbols(definition,[spl92_1])],[avatar_definition]) ).

tff(f4275,definition,
    ( spl92_2
  <=> sP9 ),
    introduced(definition,[new_symbols(definition,[spl92_2])],[avatar_definition]) ).

tff(f4278,plain,
    ( ~ spl92_1
    | ~ spl92_2 ),
    inference(avatar_split_clause,[],[f4230,f4275,f4271]) ).

tff(f4280,definition,
    ( spl92_3
  <=> sP3 ),
    introduced(definition,[new_symbols(definition,[spl92_3])],[avatar_definition]) ).

tff(f4311,plain,
    spl92_3,
    inference(avatar_split_clause,[],[f4231,f4280]) ).

tff(f4313,definition,
    ( spl92_10
  <=> sP4 ),
    introduced(definition,[new_symbols(definition,[spl92_10])],[avatar_definition]) ).

tff(f4344,plain,
    spl92_10,
    inference(avatar_split_clause,[],[f4232,f4313]) ).

tff(f4346,definition,
    ( spl92_17
  <=> sP5 ),
    introduced(definition,[new_symbols(definition,[spl92_17])],[avatar_definition]) ).

tff(f4364,plain,
    ( ~ spl92_17
    | ~ spl92_3 ),
    inference(avatar_split_clause,[],[f4219,f4280,f4346]) ).

tff(f4366,definition,
    ( spl92_21
  <=> sP6 ),
    introduced(definition,[new_symbols(definition,[spl92_21])],[avatar_definition]) ).

tff(f4399,plain,
    ( spl92_21
    | ~ spl92_10 ),
    inference(avatar_split_clause,[],[f4202,f4313,f4366]) ).

tff(f4401,definition,
    ( spl92_27
  <=> sP7 ),
    introduced(definition,[new_symbols(definition,[spl92_27])],[avatar_definition]) ).

tff(f4432,plain,
    spl92_27,
    inference(avatar_split_clause,[],[f4233,f4401]) ).

tff(f4438,plain,
    ( spl92_1
    | spl92_17
    | ~ spl92_21 ),
    inference(avatar_split_clause,[],[f4187,f4366,f4346,f4271]) ).

tff(f4469,plain,
    ( spl92_2
    | ~ spl92_27 ),
    inference(avatar_split_clause,[],[f4170,f4401,f4275]) ).

cnf(s1,plain,
    ( ~ spl92_1
    | ~ spl92_2 ),
    inference(sat_conversion,[],[f4278]) ).

cnf(s6,plain,
    spl92_3,
    inference(sat_conversion,[],[f4311]) ).

cnf(s11,plain,
    spl92_10,
    inference(sat_conversion,[],[f4344]) ).

cnf(s15,plain,
    ( ~ spl92_3
    | ~ spl92_17 ),
    inference(sat_conversion,[],[f4364]) ).

cnf(s26,plain,
    ( ~ spl92_10
    | spl92_21 ),
    inference(sat_conversion,[],[f4399]) ).

cnf(s31,plain,
    spl92_27,
    inference(sat_conversion,[],[f4432]) ).

cnf(s33,plain,
    ( spl92_1
    | spl92_17
    | ~ spl92_21 ),
    inference(sat_conversion,[],[f4438]) ).

cnf(s44,plain,
    ( spl92_2
    | ~ spl92_27 ),
    inference(sat_conversion,[],[f4469]) ).

cnf(s45,plain,
    spl92_2,
    inference(rat,[],[s44,s31]) ).

cnf(s46,plain,
    spl92_21,
    inference(rat,[],[s26,s11]) ).

cnf(s47,plain,
    ~ spl92_17,
    inference(rat,[],[s15,s6]) ).

cnf(s48,plain,
    spl92_1,
    inference(rat,[],[s33,s46,s47]) ).

cnf(s49,plain,
    $false,
    inference(rat,[],[s1,s45,s48]) ).

tff(f4470,plain,
    $false,
    inference(avatar_sat_refutation,[],[s49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWW751_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n002.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 14:31:37 UTC 2026
% 0.08/0.18  % CPUTime  : 
% 0.08/0.18  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21  Running first-order model finding
% 0.08/0.21  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.34  % (388741)Will run a generic schedule for satisfiability detection.
% 0.19/0.34  % (388752)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=697993482:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.19/0.34  % (388747)% WARNING: option uhcvi not known.
% 0.19/0.34  % (388746)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=807202906_2999 on theBenchmark for (2999ds/0Mi)
% 0.19/0.34  % (388747)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=304611403:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.19/0.34  % (388748)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1456509815:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.34  % (388749)dis+10_1_sil=32000:sp=arity:random_seed=535599733:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.19/0.34  % (388750)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3688662664:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.19/0.34  % (388751)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1544800828:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.19/0.34  % (388752) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-388741-388752"...
% 0.19/0.34  % (388746)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.19/0.34  % (388746)Terminated due to inappropriate strategy.
% 0.19/0.34  % (388746)------------------------------
% 0.19/0.34  % (388746)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34  % (388746)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34  % (388746)CaDiCaL version: 2.1.3
% 0.19/0.34  % (388746)Termination reason: Inappropriate
% 0.19/0.34  % (388746)Time elapsed: 0.034 s
% 0.19/0.34  % (388746)Peak memory usage: 13 MB
% 0.19/0.34  % (388746)Instructions burned: 77 (million)
% 0.19/0.34  % (388746)------------------------------
% 0.19/0.34  % (388746)------------------------------
% 0.19/0.34  % (388752)...printing done.
% 0.19/0.34  % (388752)Refutation found. Thanks to Tanya!
% 0.19/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.19/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.34  % (388752)------------------------------
% 0.19/0.34  % (388752)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.34  % (388752)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.34  % (388752)CaDiCaL version: 2.1.3
% 0.19/0.34  % (388752)Termination reason: Refutation
% 0.19/0.34  % (388752)Time elapsed: 0.043 s
% 0.19/0.34  % (388752)Peak memory usage: 16 MB
% 0.19/0.34  % (388752)Instructions burned: 165 (million)
% 0.19/0.34  % (388741)Success in time 0.117 s
% 0.19/0.34  % Vampire exiting
%------------------------------------------------------------------------------