%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW791_1 : TPTP v9.3.1. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:37:39 PM UTC 2026
% Result : Unsatisfiable 3.29s 1.18s
% Output : Refutation 4.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 1
% Syntax : Number of formulae : 13 ( 2 unt; 0 typ; 0 def)
% Number of atoms : 137 ( 134 equ)
% Maximal formula atoms : 24 ( 10 avg)
% Number of connectives : 200 ( 76 ~; 58 |; 46 &)
% ( 0 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 25 ( 14 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 54 ( 0 atm; 0 fun; 0 num; 54 var)
% Number of types : 1 ( 0 usr; 1 ari; 0 dat; 0 cdt)
% Number of type conns : 0 ( 0 >; 0 *; 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 : 54 ( 30 !; 24 ?; 54 :)
% 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 ).
tff(func_def_187,type,
sK9: $int ).
tff(func_def_188,type,
sK10: ( $int * $int ) > $int ).
tff(func_def_189,type,
sK11: ( $int * $int ) > $int ).
tff(func_def_190,type,
sK12: ( $int * $int ) > $int ).
tff(func_def_191,type,
sK13: ( $int * $int * $int ) > $int ).
tff(func_def_192,type,
sK14: ( $int * $int ) > $int ).
tff(func_def_193,type,
sK15: ( $int * $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 ).
tff(func_def_199,type,
sK21: ( $int * $int ) > $int ).
tff(func_def_200,type,
sK22: ( $int * $int ) > $int ).
tff(func_def_201,type,
sK23: ( $int * $int * $int ) > $int ).
tff(func_def_202,type,
sK24: ( $int * $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 ).
tff(func_def_206,type,
sK28: ( $int * $int * $int ) > $int ).
tff(func_def_207,type,
sK29: ( $int * $int * $int * $int ) > $int ).
tff(func_def_208,type,
sK30: ( $int * $int * $int * $int ) > $int ).
tff(func_def_209,type,
sK31: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_210,type,
sK32: ( $int * $int * $int ) > $int ).
tff(func_def_211,type,
sK33: ( $int * $int ) > $int ).
tff(func_def_212,type,
sK34: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_213,type,
sK35: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_214,type,
sK36: ( $int * $int ) > $int ).
tff(func_def_215,type,
sK37: ( $int * $int * $int ) > $int ).
tff(func_def_216,type,
sK38: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_217,type,
sK39: ( $int * $int * $int * $int ) > $int ).
tff(func_def_218,type,
sK40: ( $int * $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 ).
tff(func_def_224,type,
sK46: $int > $int ).
tff(func_def_225,type,
sK47: ( $int * $int ) > $int ).
tff(func_def_226,type,
sK48: ( $int * $int * $int * $int * $int * $int * $int * $int ) > $int ).
tff(func_def_227,type,
sK49: ( $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 * $int * $int ) > $int ).
tff(func_def_231,type,
sK53: ( $int * $int ) > $int ).
tff(func_def_232,type,
sK54: ( $int * $int ) > $int ).
tff(func_def_233,type,
sK55: ( $int * $int ) > $int ).
tff(func_def_234,type,
sK56: ( $int * $int * $int * $int ) > $int ).
tff(func_def_235,type,
sK57: ( $int * $int * $int ) > $int ).
tff(func_def_236,type,
sK58: ( $int * $int * $int ) > $int ).
tff(func_def_237,type,
sK59: ( $int * $int * $int ) > $int ).
tff(func_def_238,type,
sK60: ( $int * $int ) > $int ).
tff(func_def_239,type,
sK61: ( $int * $int ) > $int ).
tff(func_def_240,type,
sK62: ( $int * $int * $int ) > $int ).
tff(func_def_241,type,
sK63: ( $int * $int ) > $int ).
tff(func_def_242,type,
sK64: ( $int * $int * $int ) > $int ).
tff(func_def_243,type,
sK65: ( $int * $int ) > $int ).
tff(f3,axiom,
~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
=> ( ( 'BeingConstructed' = nullObject )
=> ~ ( ~ ! [X0: $int,X1: $int] :
? [X4: $int,X2: $int,X3: $int] :
( ( X3 = select2('Heap',X0,ownerFrame) )
& ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
| ~ ( ( x(select2('Heap',X4,inv),X3) != true_1 )
| ( select2('Heap',X4,localinv) = 'BaseClass'(X3) )
| ( X3 = 'PeerGroupPlaceholder' ) )
| ( select2('Heap',X0,allocated) != true_1 )
| ( X0 = nullObject ) )
=> ( X2 = X2 ) )
& ( X4 = select2('Heap',X0,ownerRef) )
& ( X2 = select2('Heap',X0,X1) ) )
| ~ ( ! [X0: $int,X1: $int] :
? [X7: $int,X6: $int,X5: $int] :
( ( X5 = select2('Heap',X0,X1) )
& ( X6 = select2('Heap',X0,ownerFrame) )
& ( X7 = select2('Heap',X0,ownerRef) )
& ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
| ( select2('Heap',X0,allocated) != true_1 )
| ~ ( ( X6 = 'PeerGroupPlaceholder' )
| ( select2('Heap',X7,localinv) = 'BaseClass'(X6) )
| ( x(select2('Heap',X7,inv),X6) != true_1 ) )
| ( X0 = nullObject ) )
=> ( X5 = X5 ) ) )
=> $true ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).
tff(f6,plain,
~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
=> ( ( 'BeingConstructed' = nullObject )
=> ~ ( ~ ! [X0: $int,X1: $int] :
? [X4: $int,X2: $int,X3: $int] :
( ( X3 = select2('Heap',X0,ownerFrame) )
& ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
| ~ ( ( x(select2('Heap',X4,inv),X3) != true_1 )
| ( select2('Heap',X4,localinv) = 'BaseClass'(X3) )
| ( X3 = 'PeerGroupPlaceholder' ) )
| ( select2('Heap',X0,allocated) != true_1 )
| ( X0 = nullObject ) )
=> ( X2 = X2 ) )
& ( X4 = select2('Heap',X0,ownerRef) )
& ( X2 = select2('Heap',X0,X1) ) )
| ~ ( ! [X5: $int,X6: $int] :
? [X7: $int,X8: $int,X9: $int] :
( ( select2('Heap',X5,X6) = X9 )
& ( select2('Heap',X5,ownerFrame) = X8 )
& ( select2('Heap',X5,ownerRef) = X7 )
& ( ~ ( ( true_1 != 'IncludeInMainFrameCondition'(X6) )
| ( true_1 != select2('Heap',X5,allocated) )
| ~ ( ( 'PeerGroupPlaceholder' = X8 )
| ( select2('Heap',X7,localinv) = 'BaseClass'(X8) )
| ( true_1 != x(select2('Heap',X7,inv),X8) ) )
| ( nullObject = X5 ) )
=> ( X9 = X9 ) ) )
=> $true ) ) ) ) ),
inference(rectify,[],[f3]) ).
tff(f7,plain,
~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
=> ( ( 'BeingConstructed' = nullObject )
=> ~ ~ ! [X0: $int,X1: $int] :
? [X4: $int,X2: $int,X3: $int] :
( ( X3 = select2('Heap',X0,ownerFrame) )
& ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
| ~ ( ( x(select2('Heap',X4,inv),X3) != true_1 )
| ( select2('Heap',X4,localinv) = 'BaseClass'(X3) )
| ( X3 = 'PeerGroupPlaceholder' ) )
| ( select2('Heap',X0,allocated) != true_1 )
| ( X0 = nullObject ) )
=> ( X2 = X2 ) )
& ( X4 = select2('Heap',X0,ownerRef) )
& ( X2 = select2('Heap',X0,X1) ) ) ) ) ),
inference(true_and_false_elimination,[],[f6]) ).
tff(f8,plain,
~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ( 'PurityAxiomsCanBeAssumed' = true_1 )
=> ( ( 'BeingConstructed' = nullObject )
=> ! [X0: $int,X1: $int] :
? [X4: $int,X2: $int,X3: $int] :
( ( X3 = select2('Heap',X0,ownerFrame) )
& ( ~ ( ( 'IncludeInMainFrameCondition'(X1) != true_1 )
| ~ ( ( x(select2('Heap',X4,inv),X3) != true_1 )
| ( select2('Heap',X4,localinv) = 'BaseClass'(X3) )
| ( X3 = 'PeerGroupPlaceholder' ) )
| ( select2('Heap',X0,allocated) != true_1 )
| ( X0 = nullObject ) )
=> ( X2 = X2 ) )
& ( X4 = select2('Heap',X0,ownerRef) )
& ( X2 = select2('Heap',X0,X1) ) ) ) ) ),
inference(flattening,[],[f7]) ).
tff(f17,plain,
( ? [X0: $int,X1: $int] :
! [X4: $int,X2: $int,X3: $int] :
( ( select2('Heap',X0,ownerFrame) != X3 )
| ( ( X2 != X2 )
& ( true_1 = 'IncludeInMainFrameCondition'(X1) )
& ( ( x(select2('Heap',X4,inv),X3) != true_1 )
| ( select2('Heap',X4,localinv) = 'BaseClass'(X3) )
| ( X3 = 'PeerGroupPlaceholder' ) )
& ( true_1 = select2('Heap',X0,allocated) )
& ( nullObject != X0 ) )
| ( select2('Heap',X0,ownerRef) != X4 )
| ( select2('Heap',X0,X1) != X2 ) )
& ( 'BeingConstructed' = nullObject )
& ( 'PurityAxiomsCanBeAssumed' = true_1 )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(ennf_transformation,[],[f8]) ).
tff(f18,plain,
( ( 'PurityAxiomsCanBeAssumed' = true_1 )
& ? [X1: $int,X0: $int] :
! [X2: $int,X4: $int,X3: $int] :
( ( select2('Heap',X0,X1) != X2 )
| ( select2('Heap',X0,ownerFrame) != X3 )
| ( select2('Heap',X0,ownerRef) != X4 )
| ( ( X2 != X2 )
& ( ( x(select2('Heap',X4,inv),X3) != true_1 )
| ( select2('Heap',X4,localinv) = 'BaseClass'(X3) )
| ( X3 = 'PeerGroupPlaceholder' ) )
& ( true_1 = 'IncludeInMainFrameCondition'(X1) )
& ( true_1 = select2('Heap',X0,allocated) )
& ( nullObject != X0 ) ) )
& ( 'IsHeap'('Heap') = true_1 )
& ( 'BeingConstructed' = nullObject ) ),
inference(flattening,[],[f17]) ).
tff(f19,plain,
( ( 'PurityAxiomsCanBeAssumed' = true_1 )
& ? [X0: $int,X1: $int] :
! [X2: $int,X3: $int,X4: $int] :
( ( select2('Heap',X1,X0) != X2 )
| ( select2('Heap',X1,ownerFrame) != X4 )
| ( select2('Heap',X1,ownerRef) != X3 )
| ( ( X2 != X2 )
& ( ( true_1 != x(select2('Heap',X3,inv),X4) )
| ( select2('Heap',X3,localinv) = 'BaseClass'(X4) )
| ( 'PeerGroupPlaceholder' = X4 ) )
& ( true_1 = 'IncludeInMainFrameCondition'(X0) )
& ( true_1 = select2('Heap',X1,allocated) )
& ( nullObject != X1 ) ) )
& ( 'IsHeap'('Heap') = true_1 )
& ( 'BeingConstructed' = nullObject ) ),
inference(rectify,[],[f18]) ).
tff(f20,plain,
( ( 'PurityAxiomsCanBeAssumed' = true_1 )
& ! [X2: $int,X3: $int,X4: $int] :
( ( select2('Heap',sK1,sK0) != X2 )
| ( select2('Heap',sK1,ownerFrame) != X4 )
| ( select2('Heap',sK1,ownerRef) != X3 )
| ( ( X2 != X2 )
& ( ( true_1 != x(select2('Heap',X3,inv),X4) )
| ( select2('Heap',X3,localinv) = 'BaseClass'(X4) )
| ( 'PeerGroupPlaceholder' = X4 ) )
& ( true_1 = 'IncludeInMainFrameCondition'(sK0) )
& ( true_1 = select2('Heap',sK1,allocated) )
& ( nullObject != sK1 ) ) )
& ( 'IsHeap'('Heap') = true_1 )
& ( 'BeingConstructed' = nullObject ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f19]) ).
tff(f34,plain,
! [X2: $int,X3: $int,X4: $int] :
( ( select2('Heap',sK1,sK0) != X2 )
| ( select2('Heap',sK1,ownerFrame) != X4 )
| ( select2('Heap',sK1,ownerRef) != X3 )
| ( X2 != X2 ) ),
inference(cnf_transformation,[],[f20]) ).
tff(f2679,plain,
! [X3: $int,X4: $int] :
( ( select2('Heap',sK1,ownerFrame) != X4 )
| ( select2('Heap',sK1,ownerRef) != X3 )
| ( select2('Heap',sK1,sK0) != select2('Heap',sK1,sK0) ) ),
inference(equality_resolution,[],[f34]) ).
tff(f2680,plain,
! [X3: $int] :
( ( select2('Heap',sK1,ownerRef) != X3 )
| ( select2('Heap',sK1,sK0) != select2('Heap',sK1,sK0) ) ),
inference(equality_resolution,[],[f2679]) ).
tff(f2681,plain,
select2('Heap',sK1,sK0) != select2('Heap',sK1,sK0),
inference(equality_resolution,[],[f2680]) ).
tff(f2732,plain,
$false,
inference(trivial_inequality_removal,[],[f2681]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW791_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n011.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 14:30:01 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23 Running first-order theorem proving
% 0.09/0.23 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.29/1.18 % (3425799)Detected arithmetic, will pick strategies from an ALASCA-aware ARI schedule.
% 3.29/1.18 % (3425855)dis+21_64_to=kbo:sil=128000:si=on:sp=weighted_frequency:uwa=alasca_can_abstract:random_seed=3074125088:i=4:rtra=on_2999 on theBenchmark for (2999ds/4Mi)
% 3.29/1.18 % (3425855)Instruction limit reached!
% 3.29/1.18 % (3425855)------------------------------
% 3.29/1.18 % (3425855)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425855)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425855)Termination reason: Instruction limit
% 3.29/1.18 % (3425855)Termination phase: Property scanning
% 3.29/1.18 % (3425855)Time elapsed: 0.002 s
% 3.29/1.18 % (3425855)Peak memory usage: 86 MB
% 3.29/1.18 % (3425855)Instructions burned: 6 (million)
% 3.29/1.18 % (3425852)dis+1002_1_to=kbo:sil=128000:tgt=ground:sas=z3:si=on:spb=units:tha=off:random_seed=3840292250:i=307:kws=precedence:nm=0:rtra=on_2999 on theBenchmark for (2999ds/307Mi)
% 3.29/1.18 % (3425854)lrs+1002_4:1_to=lpo:sil=64000:si=on:br=off:random_seed=3076339680:s2a=on:i=7:rtra=on:inst=on_2999 on theBenchmark for (2999ds/7Mi)
% 3.29/1.18 % (3425853)dis+10_3_slsqr=1,4:to=lpo:sil=128000:thi=strong:si=on:uwa=off:s2agt=20:slsqc=1:slsq=on:random_seed=3788987856:i=201:slsql=off:asg=cautious:rtra=on:gtg=all:ss=axioms:sgt=16_2999 on theBenchmark for (2999ds/201Mi)
% 3.29/1.18 % (3425851)dis+1002_16:1_to=lpo:sil=64000:sas=z3:si=on:norm_ineq=on:gve=force:uwa=one_side_constant:random_seed=3109690707:i=12:doe=on:rtra=on:gtg=exists_top:ss=axioms_2999 on theBenchmark for (2999ds/12Mi)
% 3.29/1.18 % (3425854)Instruction limit reached!
% 3.29/1.18 % (3425854)------------------------------
% 3.29/1.18 % (3425854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425854)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425854)Termination reason: Instruction limit
% 3.29/1.18 % (3425854)Termination phase: Property scanning
% 3.29/1.18 % (3425854)Time elapsed: 0.004 s
% 3.29/1.18 % (3425854)Peak memory usage: 85 MB
% 3.29/1.18 % (3425854)Instructions burned: 7 (million)
% 3.29/1.18 % (3425851)Instruction limit reached!
% 3.29/1.18 % (3425851)------------------------------
% 3.29/1.18 % (3425851)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425851)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425851)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425851)Termination reason: Instruction limit
% 3.29/1.18 % (3425851)Termination phase: shuffling
% 3.29/1.18 % (3425851)Time elapsed: 0.007 s
% 3.29/1.18 % (3425851)Peak memory usage: 86 MB
% 3.29/1.18 % (3425851)Instructions burned: 14 (million)
% 3.29/1.18 % (3425857)lrs+10_1_tgt=ground:sas=z3:si=on:random_seed=1210606571:i=33:rtra=on_2999 on theBenchmark for (2999ds/33Mi)
% 3.29/1.18 % (3425856)lrs+10_1_to=lpo:sas=z3:si=on:tha=off:random_seed=648843373:i=46:rtra=on_2999 on theBenchmark for (2999ds/46Mi)
% 3.29/1.18 % (3425857)Instruction limit reached!
% 3.29/1.18 % (3425857)------------------------------
% 3.29/1.18 % (3425857)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425857)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425857)Termination reason: Instruction limit
% 3.29/1.18 % (3425857)Termination phase: Property scanning
% 3.29/1.18 % (3425857)Time elapsed: 0.019 s
% 3.29/1.18 % (3425857)Peak memory usage: 88 MB
% 3.29/1.18 % (3425857)Instructions burned: 35 (million)
% 3.29/1.18 % (3425856)Instruction limit reached!
% 3.29/1.18 % (3425856)------------------------------
% 3.29/1.18 % (3425856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425856)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425856)Termination reason: Instruction limit
% 3.29/1.18 % (3425856)Termination phase: Saturation
% 3.29/1.18 % (3425856)Time elapsed: 0.024 s
% 3.29/1.18 % (3425856)Peak memory usage: 90 MB
% 3.29/1.18 % (3425856)Instructions burned: 46 (million)
% 3.29/1.18 % (3425852)First to succeed.
% 3.29/1.18 % (3425852)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3425799"
% 3.29/1.18 % (3425853)Also succeeded, but the first one will report.
% 3.29/1.18 % (3425859)dis+11_3_anc=none:drc=ordering:si=on:urr=ec_only:bce=on:tha=off:sac=on:random_seed=163603192:st=5:i=14:sd=10:rtra=on:ss=axioms:rawr=on_2998 on theBenchmark for (2998ds/14Mi)
% 3.29/1.18 % (3425859)Refutation not found, incomplete strategy
% 3.29/1.18 % (3425859)------------------------------
% 3.29/1.18 % (3425859)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425859)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425859)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425859)Termination reason: Refutation not found, incomplete strategy
% 3.29/1.18 % (3425859)Time elapsed: 0.004 s
% 3.29/1.18 % (3425859)Peak memory usage: 88 MB
% 3.29/1.18 % (3425859)Instructions burned: 13 (million)
% 3.29/1.18 % (3425866)dis+1011_2:1_to=kbo:sil=128000:tgt=full:fde=none:si=on:norm_ineq=on:spb=goal_then_units:tha=some:nwc=2:sac=on:random_seed=2152212027:i=29:thsqd=64:nm=0:thsqc=8:rtra=on:thsq=on:ev=off_2998 on theBenchmark for (2998ds/29Mi)
% 3.29/1.18 % (3425867)ott+21_1024_to=lakbo:sil=128000:bsd=on:si=on:alasca=on:uwa=alasca_main:nwc=0.5:random_seed=4241499273:cond=on:i=16:fgj=on:ep=RS:asg=force:nm=10:rtra=on:rawr=on_2998 on theBenchmark for (2998ds/16Mi)
% 3.29/1.18 % (3425867)Instruction limit reached!
% 3.29/1.18 % (3425867)------------------------------
% 3.29/1.18 % (3425867)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425867)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425867)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425867)Termination reason: Instruction limit
% 3.29/1.18 % (3425867)Termination phase: Preprocessing 3
% 3.29/1.18 % (3425867)Time elapsed: 0.010 s
% 3.29/1.18 % (3425867)Peak memory usage: 87 MB
% 3.29/1.18 % (3425867)Instructions burned: 16 (million)
% 3.29/1.18 % (3425866)Instruction limit reached!
% 3.29/1.18 % (3425866)------------------------------
% 3.29/1.18 % (3425866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425866)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425866)Termination reason: Instruction limit
% 3.29/1.18 % (3425866)Termination phase: Clausification
% 3.29/1.18 % (3425866)Time elapsed: 0.017 s
% 3.29/1.18 % (3425866)Peak memory usage: 88 MB
% 3.29/1.18 % (3425866)Instructions burned: 30 (million)
% 3.29/1.18 % (3425868)dis+1011_1_prc=on:drc=off:si=on:sac=on:random_seed=64451015:i=24:canc=force:rtra=on_2997 on theBenchmark for (2997ds/24Mi)
% 3.29/1.18 % (3425869)ott+1010_8_to=lpo:sil=128000:si=on:norm_ineq=on:sp=unary_frequency:sos=on:gve=cautious:spb=goal_then_units:uwa=alasca_main_floor:tha=some:random_seed=2771718517:i=27:canc=cautious:fsr=off:rtra=on_2997 on theBenchmark for (2997ds/27Mi)
% 3.29/1.18 % (3425868)Instruction limit reached!
% 3.29/1.18 % (3425868)------------------------------
% 3.29/1.18 % (3425868)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425868)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425868)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425868)Termination reason: Instruction limit
% 3.29/1.18 % (3425868)Termination phase: Preprocessing 3
% 3.29/1.18 % (3425868)Time elapsed: 0.014 s
% 3.29/1.18 % (3425868)Peak memory usage: 87 MB
% 3.29/1.18 % (3425868)Instructions burned: 24 (million)
% 3.29/1.18 % (3425869)Instruction limit reached!
% 3.29/1.18 % (3425869)------------------------------
% 3.29/1.18 % (3425869)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.29/1.18 % (3425869)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.29/1.18 % (3425869)CaDiCaL version: 2.1.3
% 3.29/1.18 % (3425869)Termination reason: Instruction limit
% 3.29/1.18 % (3425869)Termination phase: Preprocessing 3
% 3.29/1.18 % (3425869)Time elapsed: 0.016 s
% 3.29/1.18 % (3425869)Peak memory usage: 88 MB
% 3.29/1.18 % (3425869)Instructions burned: 29 (million)
% 3.29/1.18 % (3425859)------------------------------
% 3.29/1.18 % (3425859)------------------------------
% 3.29/1.18 % (3425873)dis+1002_24_to=kbo:sil=128000:si=on:random_seed=1485001680:i=85:gtgl=4:rtra=on:gtg=exists_sym_2996 on theBenchmark for (2996ds/85Mi)
% 3.29/1.18 % (3425852)Refutation found. Thanks to Tanya!
% 3.29/1.18 % SZS status Unsatisfiable for theBenchmark
% 3.29/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 4.10/1.37 % (3425852)------------------------------
% 4.10/1.37 % (3425852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.10/1.37 % (3425852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.10/1.37 % (3425852)CaDiCaL version: 2.1.3
% 4.10/1.37 % (3425852)Termination reason: Refutation
% 4.10/1.37 % (3425852)Time elapsed: 0.054 s
% 4.10/1.37 % (3425852)Peak memory usage: 114 MB
% 4.10/1.37 % (3425852)Instructions burned: 55 (million)
% 4.10/1.37 % (3425852)------------------------------
% 4.10/1.37 % (3425852)------------------------------
% 4.10/1.37 % (3425799)Success in time 0.512 s
% 4.10/1.37 % Vampire exiting
%------------------------------------------------------------------------------