TSTP Solution File: SWW791_1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SWW791_1 : TPTP v8.1.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Aug 31 19:24:22 EDT 2022

% Result   : Unsatisfiable 2.10s 0.67s
% Output   : Refutation 2.10s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :  233
% Syntax   : Number of formulae    :  245 (   2 unt; 231 typ;   0 def)
%            Number of atoms       :  157 ( 154 equ)
%            Maximal formula atoms :   24 (  11 avg)
%            Number of connectives :  231 (  88   ~;  68   |;  54   &)
%                                         (   0 <=>;  21  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   24 (  14 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     :   62 (   0 atm;   0 fun;   0 num;  62 var)
%            Number of types       :    1 (   0 usr;   1 ari)
%            Number of type conns  :  348 ( 153   >; 195   *;   0   +;   0  <<)
%            Number of predicates  :    3 (   0 usr;   2 prp; 0-2 aty)
%            Number of functors    :  231 ( 231 usr;  78 con; 0-8 aty)
%            Number of variables   :   62 (  36   !;  26   ?;  62   :)

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

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

tff(func_def_2,type,
    'System_Collections_IEnumerable': $int ).

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

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

tff(func_def_5,type,
    intLess: ( $int * $int ) > $int ).

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

tff(func_def_7,type,
    count_0: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_8,type,
    'TypeObject': $int > $int ).

tff(func_def_9,type,
    'System_Int16': $int ).

tff(func_def_10,type,
    anyEqual: ( $int * $int ) > $int ).

tff(func_def_11,type,
    'AsPeerField': $int > $int ).

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

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

tff(func_def_14,type,
    false_1: $int ).

tff(func_def_15,type,
    sharingMode: $int ).

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

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

tff(func_def_18,type,
    'IntArray': ( $int * $int ) > $int ).

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

tff(func_def_20,type,
    'ValueArraySet': ( $int * $int * $int ) > $int ).

tff(func_def_21,type,
    'System_IConvertible': $int ).

tff(func_def_22,type,
    'System_Int64': $int ).

tff(func_def_23,type,
    'System_Int32': $int ).

tff(func_def_24,type,
    'Heap': $int ).

tff(func_def_25,type,
    'ArrayRefCount': $int ).

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

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

tff(func_def_28,type,
    'AsPureObject': $int > $int ).

tff(func_def_29,type,
    boolNot: $int > $int ).

tff(func_def_30,type,
    intAtLeast: ( $int * $int ) > $int ).

tff(func_def_31,type,
    'RefArraySet': ( $int * $int * $int ) > $int ).

tff(func_def_32,type,
    store1: ( $int * $int * $int ) > $int ).

tff(func_def_33,type,
    'System_Object': $int ).

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

tff(func_def_35,type,
    typeof: $int > $int ).

tff(func_def_36,type,
    'ArrayCategoryNonNullRef': $int ).

tff(func_def_37,type,
    'IfThenElse': ( $int * $int * $int ) > $int ).

tff(func_def_38,type,
    int_m2147483648: $int ).

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

tff(func_def_40,type,
    'System_Reflection_MemberInfo': $int ).

tff(func_def_41,type,
    'System_String_Equals_System_String_System_String': ( $int * $int * $int ) > $int ).

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

tff(func_def_43,type,
    'IsStaticField': $int > $int ).

tff(func_def_44,type,
    'System_String_IsInterned_System_String_notnull': ( $int * $int ) > $int ).

tff(func_def_45,type,
    'System_UInt64': $int ).

tff(func_def_46,type,
    boolImplies: ( $int * $int ) > $int ).

tff(func_def_47,type,
    or_1: ( $int * $int ) > $int ).

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

tff(func_def_49,type,
    shl: ( $int * $int ) > $int ).

tff(func_def_50,type,
    boolAnd: ( $int * $int ) > $int ).

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

tff(func_def_52,type,
    'As': ( $int * $int ) > $int ).

tff(func_def_53,type,
    'ArrayCategoryRef': $int ).

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

tff(func_def_55,type,
    x_2: ( $int * $int ) > $int ).

tff(func_def_56,type,
    allocated: $int ).

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

tff(func_def_58,type,
    and_1: ( $int * $int ) > $int ).

tff(func_def_59,type,
    'System_Runtime_InteropServices__Type': $int ).

tff(func_def_60,type,
    'SharingMode_LockProtected': $int ).

tff(func_def_61,type,
    'IntArrayGet': ( $int * $int ) > $int ).

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

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

tff(func_def_64,type,
    int_m9223372036854775808: $int ).

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

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

tff(func_def_67,type,
    select1: ( $int * $int ) > $int ).

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

tff(func_def_69,type,
    'System_Runtime_InteropServices__Exception': $int ).

tff(func_def_70,type,
    'AsRefField': ( $int * $int ) > $int ).

tff(func_def_71,type,
    'System_IntPtr': $int ).

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

tff(func_def_73,type,
    'System_Reflection_ICustomAttributeProvider': $int ).

tff(func_def_74,type,
    'AsElementsPeerField': ( $int * $int ) > $int ).

tff(func_def_75,type,
    'ValueArrayGet': ( $int * $int ) > $int ).

tff(func_def_76,type,
    store2: ( $int * $int * $int * $int ) > $int ).

tff(func_def_77,type,
    'FieldDependsOnFCO': ( $int * $int * $int ) > $int ).

tff(func_def_78,type,
    'System_Exception': $int ).

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

tff(func_def_80,type,
    'System_IComparable': $int ).

tff(func_def_81,type,
    'ValueArray': ( $int * $int ) > $int ).

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

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

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

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

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

tff(func_def_87,type,
    'BoxTester': ( $int * $int ) > $int ).

tff(func_def_88,type,
    'SharingMode_Unshared': $int ).

tff(func_def_89,type,
    'System_UInt16': $int ).

tff(func_def_90,type,
    'Microsoft_Contracts_GuardException': $int ).

tff(func_def_91,type,
    'ClassReprInv': $int > $int ).

tff(func_def_92,type,
    int_4294967295: $int ).

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

tff(func_def_94,type,
    'NonNullFieldsAreInitialized': $int ).

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

tff(func_def_96,type,
    'Microsoft_Contracts_ICheckedException': $int ).

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

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

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

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

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

tff(func_def_102,type,
    'System_SByte': $int ).

tff(func_def_103,type,
    'BeingConstructed': $int ).

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

tff(func_def_105,type,
    true_1: $int ).

tff(func_def_106,type,
    int_2147483647: $int ).

tff(func_def_107,type,
    'System_IComparable_1___System_String': $int ).

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

tff(func_def_109,type,
    'OneClassDown': ( $int * $int ) > $int ).

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

tff(func_def_111,type,
    'StringLength': $int > $int ).

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

tff(func_def_113,type,
    'System_Collections_Generic_IEnumerable_1___System_Char': $int ).

tff(func_def_114,type,
    'IntToInt': ( $int * $int * $int ) > $int ).

tff(func_def_115,type,
    count_x0: ( $int * $int * $int * $int * $int ) > $int ).

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

tff(func_def_117,type,
    'System_Char': $int ).

tff(func_def_118,type,
    boolIff: ( $int * $int ) > $int ).

tff(func_def_119,type,
    intAtMost: ( $int * $int ) > $int ).

tff(func_def_120,type,
    elements: $int ).

tff(func_def_121,type,
    'IsValueType': $int > $int ).

tff(func_def_122,type,
    'System_Collections_IList': $int ).

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

tff(func_def_124,type,
    'System_UInt32': $int ).

tff(func_def_125,type,
    'IsImmutable': $int > $int ).

tff(func_def_126,type,
    'AsElementsRepField': ( $int * $int * $int ) > $int ).

tff(func_def_127,type,
    inv: $int ).

tff(func_def_128,type,
    'FirstConsistentOwner': $int ).

tff(func_def_129,type,
    'NonNullRefArrayRaw': ( $int * $int * $int ) > $int ).

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

tff(func_def_131,type,
    'AsMutable': $int > $int ).

tff(func_def_132,type,
    x: ( $int * $int ) > $int ).

tff(func_def_133,type,
    'System_Byte': $int ).

tff(func_def_134,type,
    'UnboxedType': $int > $int ).

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

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

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

tff(func_def_138,type,
    ownerFrame: $int ).

tff(func_def_139,type,
    'System_IEquatable_1___System_String': $int ).

tff(func_def_140,type,
    max: ( $int * $int ) > $int ).

tff(func_def_141,type,
    shr: ( $int * $int ) > $int ).

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

tff(func_def_143,type,
    'RefArrayGet': ( $int * $int ) > $int ).

tff(func_def_144,type,
    x_1: ( $int * $int ) > $int ).

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

tff(func_def_146,type,
    exposeVersion: $int ).

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

tff(func_def_148,type,
    'System_Reflection_IReflect': $int ).

tff(func_def_149,type,
    int_9223372036854775807: $int ).

tff(func_def_150,type,
    'Box': ( $int * $int ) > $int ).

tff(func_def_151,type,
    'ArrayIndexInvX': $int > $int ).

tff(func_def_152,type,
    anyNeq: ( $int * $int ) > $int ).

tff(func_def_153,type,
    int_18446744073709551615: $int ).

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

tff(func_def_155,type,
    nullObject: $int ).

tff(func_def_156,type,
    'IsHeap': $int > $int ).

tff(func_def_157,type,
    select2: ( $int * $int * $int ) > $int ).

tff(func_def_158,type,
    'ArrayCategory': $int > $int ).

tff(func_def_159,type,
    'System_Runtime_InteropServices__MemberInfo': $int ).

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

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

tff(func_def_162,type,
    'BaseClass': $int > $int ).

tff(func_def_163,type,
    'NonNullRefArray': ( $int * $int ) > $int ).

tff(func_def_164,type,
    'System_String': $int ).

tff(func_def_178,type,
    sK0: $int ).

tff(func_def_179,type,
    sK1: $int ).

tff(func_def_180,type,
    sK2: $int ).

tff(func_def_181,type,
    sK3: $int ).

tff(func_def_182,type,
    sK4: $int ).

tff(func_def_183,type,
    sK5: $int ).

tff(func_def_184,type,
    sK6: $int ).

tff(func_def_185,type,
    sK7: $int ).

tff(func_def_186,type,
    sK8: ( $int * $int * $int ) > $int ).

tff(func_def_187,type,
    sK9: ( $int * $int * $int * $int ) > $int ).

tff(func_def_188,type,
    sK10: ( $int * $int * $int * $int ) > $int ).

tff(func_def_189,type,
    sK11: ( $int * $int * $int ) > $int ).

tff(func_def_190,type,
    sK12: ( $int * $int * $int ) > $int ).

tff(func_def_191,type,
    sK13: ( $int * $int * $int ) > $int ).

tff(func_def_192,type,
    sK14: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_193,type,
    sK15: ( $int * $int ) > $int ).

tff(func_def_194,type,
    sK16: ( $int * $int ) > $int ).

tff(func_def_195,type,
    sK17: ( $int * $int ) > $int ).

tff(func_def_196,type,
    sK18: ( $int * $int * $int ) > $int ).

tff(func_def_197,type,
    sK19: ( $int * $int * $int ) > $int ).

tff(func_def_198,type,
    sK20: ( $int * $int ) > $int ).

tff(func_def_199,type,
    sK21: ( $int * $int * $int ) > $int ).

tff(func_def_200,type,
    sK22: ( $int * $int * $int ) > $int ).

tff(func_def_201,type,
    sK23: ( $int * $int * $int ) > $int ).

tff(func_def_202,type,
    sK24: ( $int * $int ) > $int ).

tff(func_def_203,type,
    sK25: ( $int * $int * $int ) > $int ).

tff(func_def_204,type,
    sK26: ( $int * $int * $int ) > $int ).

tff(func_def_205,type,
    sK27: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_206,type,
    sK28: ( $int * $int ) > $int ).

tff(func_def_207,type,
    sK29: ( $int * $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_208,type,
    sK30: ( $int * $int * $int ) > $int ).

tff(func_def_209,type,
    sK31: ( $int * $int ) > $int ).

tff(func_def_210,type,
    sK32: ( $int * $int ) > $int ).

tff(func_def_211,type,
    sK33: ( $int * $int ) > $int ).

tff(func_def_212,type,
    sK34: ( $int * $int ) > $int ).

tff(func_def_213,type,
    sK35: ( $int * $int * $int * $int ) > $int ).

tff(func_def_214,type,
    sK36: ( $int * $int ) > $int ).

tff(func_def_215,type,
    sK37: ( $int * $int ) > $int ).

tff(func_def_216,type,
    sK38: ( $int * $int * $int ) > $int ).

tff(func_def_217,type,
    sK39: ( $int * $int * $int ) > $int ).

tff(func_def_218,type,
    sK40: ( $int * $int ) > $int ).

tff(func_def_219,type,
    sK41: ( $int * $int ) > $int ).

tff(func_def_220,type,
    sK42: ( $int * $int ) > $int ).

tff(func_def_221,type,
    sK43: ( $int * $int ) > $int ).

tff(func_def_222,type,
    sK44: ( $int * $int ) > $int ).

tff(func_def_223,type,
    sK45: ( $int * $int * $int * $int ) > $int ).

tff(func_def_224,type,
    sK46: ( $int * $int * $int ) > $int ).

tff(func_def_225,type,
    sK47: ( $int * $int ) > $int ).

tff(func_def_226,type,
    sK48: ( $int * $int ) > $int ).

tff(func_def_227,type,
    sK49: ( $int * $int * $int ) > $int ).

tff(func_def_228,type,
    sK50: ( $int * $int * $int ) > $int ).

tff(func_def_229,type,
    sK51: ( $int * $int ) > $int ).

tff(func_def_230,type,
    sK52: ( $int * $int ) > $int ).

tff(func_def_231,type,
    sK53: ( $int * $int ) > $int ).

tff(func_def_232,type,
    sK54: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_233,type,
    sK55: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_234,type,
    sK56: ( $int * $int ) > $int ).

tff(func_def_235,type,
    sK57: ( $int * $int ) > $int ).

tff(func_def_236,type,
    sK58: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_237,type,
    sK59: $int > $int ).

tff(func_def_238,type,
    sK60: ( $int * $int * $int ) > $int ).

tff(func_def_239,type,
    sK61: ( $int * $int * $int ) > $int ).

tff(func_def_240,type,
    sK62: ( $int * $int ) > $int ).

tff(func_def_241,type,
    sK63: $int > $int ).

tff(func_def_242,type,
    sK64: $int ).

tff(func_def_243,type,
    sK65: $int ).

tff(f2784,plain,
    $false,
    inference(trivial_inequality_removal,[],[f2771]) ).

tff(f2771,plain,
    select2('Heap',sK65,sK64) != select2('Heap',sK65,sK64),
    inference(equality_resolution,[],[f2770]) ).

tff(f2770,plain,
    ! [X3: $int] :
      ( ( select2('Heap',sK65,sK64) != select2('Heap',sK65,sK64) )
      | ( select2('Heap',sK65,ownerRef) != X3 ) ),
    inference(equality_resolution,[],[f2769]) ).

tff(f2769,plain,
    ! [X2: $int,X3: $int] :
      ( ( select2('Heap',sK65,sK64) != X2 )
      | ( X2 != X2 )
      | ( select2('Heap',sK65,ownerRef) != X3 ) ),
    inference(equality_resolution,[],[f2142]) ).

tff(f2142,plain,
    ! [X2: $int,X3: $int,X4: $int] :
      ( ( select2('Heap',sK65,ownerFrame) != X4 )
      | ( select2('Heap',sK65,sK64) != X2 )
      | ( X2 != X2 )
      | ( select2('Heap',sK65,ownerRef) != X3 ) ),
    inference(cnf_transformation,[],[f95]) ).

tff(f95,plain,
    ( ( nullObject = 'BeingConstructed' )
    & ( true_1 = 'IsHeap'('Heap') )
    & ( true_1 = 'PurityAxiomsCanBeAssumed' )
    & ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',sK65,ownerFrame) != X4 )
        | ( select2('Heap',sK65,sK64) != X2 )
        | ( ( ( 'BaseClass'(X4) = select2('Heap',X3,localinv) )
            | ( true_1 != x(select2('Heap',X3,inv),X4) )
            | ( 'PeerGroupPlaceholder' = X4 ) )
          & ( true_1 = 'IncludeInMainFrameCondition'(sK64) )
          & ( X2 != X2 )
          & ( nullObject != sK65 )
          & ( true_1 = select2('Heap',sK65,allocated) ) )
        | ( select2('Heap',sK65,ownerRef) != X3 ) ) ),
    inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f93,f94]) ).

tff(f94,plain,
    ( ? [X0: $int,X1: $int] :
      ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',X1,ownerFrame) != X4 )
        | ( select2('Heap',X1,X0) != X2 )
        | ( ( ( 'BaseClass'(X4) = select2('Heap',X3,localinv) )
            | ( true_1 != x(select2('Heap',X3,inv),X4) )
            | ( 'PeerGroupPlaceholder' = X4 ) )
          & ( true_1 = 'IncludeInMainFrameCondition'(X0) )
          & ( X2 != X2 )
          & ( nullObject != X1 )
          & ( true_1 = select2('Heap',X1,allocated) ) )
        | ( select2('Heap',X1,ownerRef) != X3 ) )
   => ! [X4: $int,X3: $int,X2: $int] :
        ( ( select2('Heap',sK65,ownerFrame) != X4 )
        | ( select2('Heap',sK65,sK64) != X2 )
        | ( ( ( 'BaseClass'(X4) = select2('Heap',X3,localinv) )
            | ( true_1 != x(select2('Heap',X3,inv),X4) )
            | ( 'PeerGroupPlaceholder' = X4 ) )
          & ( true_1 = 'IncludeInMainFrameCondition'(sK64) )
          & ( X2 != X2 )
          & ( nullObject != sK65 )
          & ( true_1 = select2('Heap',sK65,allocated) ) )
        | ( select2('Heap',sK65,ownerRef) != X3 ) ) ),
    introduced(choice_axiom,[]) ).

tff(f93,plain,
    ( ( nullObject = 'BeingConstructed' )
    & ( true_1 = 'IsHeap'('Heap') )
    & ( true_1 = 'PurityAxiomsCanBeAssumed' )
    & ? [X0: $int,X1: $int] :
      ! [X2: $int,X3: $int,X4: $int] :
        ( ( select2('Heap',X1,ownerFrame) != X4 )
        | ( select2('Heap',X1,X0) != X2 )
        | ( ( ( 'BaseClass'(X4) = select2('Heap',X3,localinv) )
            | ( true_1 != x(select2('Heap',X3,inv),X4) )
            | ( 'PeerGroupPlaceholder' = X4 ) )
          & ( true_1 = 'IncludeInMainFrameCondition'(X0) )
          & ( X2 != X2 )
          & ( nullObject != X1 )
          & ( true_1 = select2('Heap',X1,allocated) ) )
        | ( select2('Heap',X1,ownerRef) != X3 ) ) ),
    inference(rectify,[],[f34]) ).

tff(f34,plain,
    ( ( nullObject = 'BeingConstructed' )
    & ( true_1 = 'IsHeap'('Heap') )
    & ( true_1 = 'PurityAxiomsCanBeAssumed' )
    & ? [X6: $int,X5: $int] :
      ! [X7: $int,X8: $int,X9: $int] :
        ( ( select2('Heap',X5,ownerFrame) != X9 )
        | ( select2('Heap',X5,X6) != X7 )
        | ( ( ( 'BaseClass'(X9) = select2('Heap',X8,localinv) )
            | ( true_1 != x(select2('Heap',X8,inv),X9) )
            | ( 'PeerGroupPlaceholder' = X9 ) )
          & ( true_1 = 'IncludeInMainFrameCondition'(X6) )
          & ( X7 != X7 )
          & ( nullObject != X5 )
          & ( true_1 = select2('Heap',X5,allocated) ) )
        | ( select2('Heap',X5,ownerRef) != X8 ) ) ),
    inference(flattening,[],[f33]) ).

tff(f33,plain,
    ( ? [X6: $int,X5: $int] :
      ! [X7: $int,X9: $int,X8: $int] :
        ( ( ( X7 != X7 )
          & ( true_1 = select2('Heap',X5,allocated) )
          & ( nullObject != X5 )
          & ( true_1 = 'IncludeInMainFrameCondition'(X6) )
          & ( ( 'BaseClass'(X9) = select2('Heap',X8,localinv) )
            | ( true_1 != x(select2('Heap',X8,inv),X9) )
            | ( 'PeerGroupPlaceholder' = X9 ) ) )
        | ( select2('Heap',X5,ownerFrame) != X9 )
        | ( select2('Heap',X5,ownerRef) != X8 )
        | ( select2('Heap',X5,X6) != X7 ) )
    & ( nullObject = 'BeingConstructed' )
    & ( true_1 = 'PurityAxiomsCanBeAssumed' )
    & ( true_1 = 'IsHeap'('Heap') ) ),
    inference(ennf_transformation,[],[f30]) ).

tff(f30,plain,
    ~ ( ( true_1 = 'IsHeap'('Heap') )
     => ( ( true_1 = 'PurityAxiomsCanBeAssumed' )
       => ( ( nullObject = 'BeingConstructed' )
         => ! [X6: $int,X5: $int] :
            ? [X7: $int,X9: $int,X8: $int] :
              ( ( ~ ( ( true_1 != select2('Heap',X5,allocated) )
                    | ( nullObject = X5 )
                    | ( true_1 != 'IncludeInMainFrameCondition'(X6) )
                    | ~ ( ( 'BaseClass'(X9) = select2('Heap',X8,localinv) )
                        | ( true_1 != x(select2('Heap',X8,inv),X9) )
                        | ( 'PeerGroupPlaceholder' = X9 ) ) )
               => ( X7 = X7 ) )
              & ( select2('Heap',X5,ownerFrame) = X9 )
              & ( select2('Heap',X5,ownerRef) = X8 )
              & ( select2('Heap',X5,X6) = X7 ) ) ) ) ),
    inference(flattening,[],[f29]) ).

tff(f29,plain,
    ~ ( ( true_1 = 'IsHeap'('Heap') )
     => ( ( true_1 = 'PurityAxiomsCanBeAssumed' )
       => ( ( nullObject = 'BeingConstructed' )
         => ~ ~ ! [X6: $int,X5: $int] :
                ? [X7: $int,X9: $int,X8: $int] :
                  ( ( ~ ( ( true_1 != select2('Heap',X5,allocated) )
                        | ( nullObject = X5 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X6) )
                        | ~ ( ( 'BaseClass'(X9) = select2('Heap',X8,localinv) )
                            | ( true_1 != x(select2('Heap',X8,inv),X9) )
                            | ( 'PeerGroupPlaceholder' = X9 ) ) )
                   => ( X7 = X7 ) )
                  & ( select2('Heap',X5,ownerFrame) = X9 )
                  & ( select2('Heap',X5,ownerRef) = X8 )
                  & ( select2('Heap',X5,X6) = X7 ) ) ) ) ),
    inference(true_and_false_elimination,[],[f28]) ).

tff(f28,plain,
    ~ ( ( true_1 = 'IsHeap'('Heap') )
     => ( ( true_1 = 'PurityAxiomsCanBeAssumed' )
       => ( ( nullObject = 'BeingConstructed' )
         => ~ ( ~ ( ! [X0: $int,X1: $int] :
                    ? [X2: $int,X3: $int,X4: $int] :
                      ( ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X1) )
                            | ( true_1 != select2('Heap',X0,allocated) )
                            | ~ ( ( 'PeerGroupPlaceholder' = X4 )
                                | ( true_1 != x(select2('Heap',X2,inv),X4) )
                                | ( 'BaseClass'(X4) = select2('Heap',X2,localinv) ) )
                            | ( nullObject = X0 ) )
                       => ( X3 = X3 ) )
                      & ( select2('Heap',X0,ownerRef) = X2 )
                      & ( select2('Heap',X0,X1) = X3 )
                      & ( select2('Heap',X0,ownerFrame) = X4 ) )
                 => $true )
              | ~ ! [X6: $int,X5: $int] :
                  ? [X7: $int,X9: $int,X8: $int] :
                    ( ( ~ ( ( true_1 != select2('Heap',X5,allocated) )
                          | ( nullObject = X5 )
                          | ( true_1 != 'IncludeInMainFrameCondition'(X6) )
                          | ~ ( ( 'BaseClass'(X9) = select2('Heap',X8,localinv) )
                              | ( true_1 != x(select2('Heap',X8,inv),X9) )
                              | ( 'PeerGroupPlaceholder' = X9 ) ) )
                     => ( X7 = X7 ) )
                    & ( select2('Heap',X5,ownerFrame) = X9 )
                    & ( select2('Heap',X5,ownerRef) = X8 )
                    & ( select2('Heap',X5,X6) = X7 ) ) ) ) ) ),
    inference(rectify,[],[f3]) ).

tff(f3,axiom,
    ~ ( ( true_1 = 'IsHeap'('Heap') )
     => ( ( true_1 = 'PurityAxiomsCanBeAssumed' )
       => ( ( nullObject = 'BeingConstructed' )
         => ~ ( ~ ( ! [X112: $int,X113: $int] :
                    ? [X119: $int,X117: $int,X118: $int] :
                      ( ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X113) )
                            | ( true_1 != select2('Heap',X112,allocated) )
                            | ~ ( ( 'PeerGroupPlaceholder' = X118 )
                                | ( true_1 != x(select2('Heap',X119,inv),X118) )
                                | ( select2('Heap',X119,localinv) = 'BaseClass'(X118) ) )
                            | ( nullObject = X112 ) )
                       => ( X117 = X117 ) )
                      & ( select2('Heap',X112,ownerRef) = X119 )
                      & ( select2('Heap',X112,X113) = X117 )
                      & ( select2('Heap',X112,ownerFrame) = X118 ) )
                 => $true )
              | ~ ! [X112: $int,X113: $int] :
                  ? [X114: $int,X116: $int,X115: $int] :
                    ( ( ~ ( ( true_1 != select2('Heap',X112,allocated) )
                          | ~ ( ( 'PeerGroupPlaceholder' = X115 )
                              | ( select2('Heap',X116,localinv) = 'BaseClass'(X115) )
                              | ( true_1 != x(select2('Heap',X116,inv),X115) ) )
                          | ( nullObject = X112 )
                          | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                     => ( X114 = X114 ) )
                    & ( select2('Heap',X112,ownerFrame) = X115 )
                    & ( select2('Heap',X112,ownerRef) = X116 )
                    & ( select2('Heap',X112,X113) = X114 ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SWW791=1 : TPTP v8.1.0. Released v7.0.0.
% 0.03/0.12  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.33  % Computer : n026.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Tue Aug 30 21:20:51 EDT 2022
% 0.12/0.34  % CPUTime    : 
% 0.20/0.56  % (17596)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.56  % (17613)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.56  % (17597)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.57  % (17612)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.57  % (17605)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.57  % (17604)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.57  % (17597)Instruction limit reached!
% 0.20/0.57  % (17597)------------------------------
% 0.20/0.57  % (17597)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.57  % (17597)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.57  % (17597)Termination reason: Unknown
% 0.20/0.57  % (17597)Termination phase: shuffling
% 0.20/0.57  
% 0.20/0.57  % (17597)Memory used [KB]: 1663
% 0.20/0.57  % (17597)Time elapsed: 0.006 s
% 0.20/0.57  % (17597)Instructions burned: 2 (million)
% 0.20/0.57  % (17597)------------------------------
% 0.20/0.57  % (17597)------------------------------
% 0.20/0.58  % (17595)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.58  % (17596)Instruction limit reached!
% 0.20/0.58  % (17596)------------------------------
% 0.20/0.58  % (17596)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.43/0.59  % (17611)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 1.43/0.59  % (17596)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.43/0.59  % (17596)Termination reason: Unknown
% 1.43/0.59  % (17596)Termination phase: Property scanning
% 1.43/0.59  
% 1.43/0.59  % (17596)Memory used [KB]: 1663
% 1.43/0.59  % (17596)Time elapsed: 0.009 s
% 1.43/0.59  % (17596)Instructions burned: 8 (million)
% 1.43/0.59  % (17596)------------------------------
% 1.43/0.59  % (17596)------------------------------
% 1.43/0.60  % (17594)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 1.43/0.60  % (17603)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.76/0.62  % (17592)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.76/0.62  % (17617)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.76/0.62  % (17593)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.76/0.63  % (17608)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.63  % (17614)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.76/0.63  % (17609)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.76/0.63  % (17610)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.76/0.64  % (17600)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.76/0.64  % (17602)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.76/0.64  % (17616)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.76/0.64  % (17590)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.76/0.64  % (17601)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.76/0.64  % (17606)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.76/0.64  % (17618)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.76/0.65  % (17598)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.76/0.67  % (17591)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.76/0.67  % (17604)Instruction limit reached!
% 1.76/0.67  % (17604)------------------------------
% 1.76/0.67  % (17604)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.76/0.67  % (17604)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.76/0.67  % (17604)Termination reason: Unknown
% 1.76/0.67  % (17604)Termination phase: Saturation
% 1.76/0.67  
% 1.76/0.67  % (17604)Memory used [KB]: 3326
% 1.76/0.67  % (17604)Time elapsed: 0.082 s
% 1.76/0.67  % (17604)Instructions burned: 75 (million)
% 1.76/0.67  % (17604)------------------------------
% 1.76/0.67  % (17604)------------------------------
% 1.76/0.67  % (17612)First to succeed.
% 2.10/0.67  % (17612)Refutation found. Thanks to Tanya!
% 2.10/0.67  % SZS status Unsatisfiable for theBenchmark
% 2.10/0.67  % SZS output start Proof for theBenchmark
% See solution above
% 2.10/0.67  % (17612)------------------------------
% 2.10/0.67  % (17612)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.10/0.67  % (17612)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.10/0.67  % (17612)Termination reason: Refutation
% 2.10/0.67  
% 2.10/0.67  % (17612)Memory used [KB]: 8059
% 2.10/0.67  % (17612)Time elapsed: 0.085 s
% 2.10/0.67  % (17612)Instructions burned: 75 (million)
% 2.10/0.67  % (17612)------------------------------
% 2.10/0.67  % (17612)------------------------------
% 2.10/0.67  % (17588)Success in time 0.327 s
%------------------------------------------------------------------------------