%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW801_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 : n001.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 01:44:57 PM UTC 2026
% Result : Unsatisfiable 0.75s 0.37s
% Output : Refutation 0.75s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 37 ( 13 unt; 0 typ; 4 def)
% Number of atoms : 230 ( 142 equ)
% Maximal formula atoms : 43 ( 6 avg)
% Number of connectives : 329 ( 136 ~; 69 |; 70 &)
% ( 4 <=>; 50 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 5 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 145 ( 40 atm; 0 fun; 92 num; 13 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 : 11 ( 6 usr; 6 prp; 0-2 aty)
% Number of functors : 277 ( 275 usr; 96 con; 0-5 aty)
% Number of variables : 13 ( 0 sgn 5 !; 8 ?; 13 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
ownerRef: $int ).
tff(func_def_1,type,
localinv: $int ).
tff(func_def_2,type,
'IntStack_IsEmpty_1': $int > $int ).
tff(func_def_3,type,
'System_Collections_IEnumerable': $int ).
tff(func_def_4,type,
'StringEquals': ( $int * $int ) > $int ).
tff(func_def_5,type,
intLess: ( $int * $int ) > $int ).
tff(func_def_6,type,
'System_Array': $int ).
tff(func_def_7,type,
'TypeObject': $int > $int ).
tff(func_def_8,type,
'System_Int16': $int ).
tff(func_def_9,type,
anyEqual: ( $int * $int ) > $int ).
tff(func_def_10,type,
stringLiteral1: $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,
'IntStack_elements': $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,
'IntStack_get_Top': ( $int * $int ) > $int ).
tff(func_def_31,type,
intAtLeast: ( $int * $int ) > $int ).
tff(func_def_32,type,
'RefArraySet': ( $int * $int * $int ) > $int ).
tff(func_def_33,type,
'IntStack_get_Top_1': $int > $int ).
tff(func_def_34,type,
store1: ( $int * $int * $int ) > $int ).
tff(func_def_35,type,
'System_Object': $int ).
tff(func_def_36,type,
'Unbox': $int > $int ).
tff(func_def_37,type,
result_2: $int ).
tff(func_def_38,type,
typeof: $int > $int ).
tff(func_def_39,type,
'System_Console_get_Out': $int > $int ).
tff(func_def_40,type,
'System_MarshalByRefObject': $int ).
tff(func_def_41,type,
'ArrayCategoryNonNullRef': $int ).
tff(func_def_42,type,
'IfThenElse': ( $int * $int * $int ) > $int ).
tff(func_def_43,type,
'IntStack_IsEmpty': ( $int * $int ) > $int ).
tff(func_def_44,type,
int_m2147483648: $int ).
tff(func_def_45,type,
'TypeName': $int > $int ).
tff(func_def_46,type,
'System_Reflection_MemberInfo': $int ).
tff(func_def_47,type,
'System_IDisposable': $int ).
tff(func_def_48,type,
'System_String_Equals_System_String_System_String': ( $int * $int * $int ) > $int ).
tff(func_def_49,type,
'AsDirectSubClass': ( $int * $int ) > $int ).
tff(func_def_50,type,
'IsStaticField': $int > $int ).
tff(func_def_51,type,
'System_String_IsInterned_System_String_notnull': ( $int * $int ) > $int ).
tff(func_def_52,type,
'System_UInt64': $int ).
tff(func_def_53,type,
boolImplies: ( $int * $int ) > $int ).
tff(func_def_54,type,
or_1: ( $int * $int ) > $int ).
tff(func_def_55,type,
'System_Runtime_Serialization_ISerializable': $int ).
tff(func_def_56,type,
shl: ( $int * $int ) > $int ).
tff(func_def_57,type,
boolAnd: ( $int * $int ) > $int ).
tff(func_def_58,type,
'System_Boolean': $int ).
tff(func_def_59,type,
'As': ( $int * $int ) > $int ).
tff(func_def_60,type,
'ArrayCategoryRef': $int ).
tff(func_def_61,type,
'AsNonNullRefField': ( $int * $int ) > $int ).
tff(func_def_62,type,
x_2: ( $int * $int ) > $int ).
tff(func_def_63,type,
allocated: $int ).
tff(func_def_64,type,
'System_IO_TextReader': $int ).
tff(func_def_65,type,
'AsRangeField': ( $int * $int ) > $int ).
tff(func_def_66,type,
and_1: ( $int * $int ) > $int ).
tff(func_def_67,type,
'System_Runtime_InteropServices__Type': $int ).
tff(func_def_68,type,
'SharingMode_LockProtected': $int ).
tff(func_def_69,type,
'IntArrayGet': ( $int * $int ) > $int ).
tff(func_def_70,type,
'Is': ( $int * $int ) > $int ).
tff(func_def_71,type,
'IsAllocated': ( $int * $int ) > $int ).
tff(func_def_72,type,
int_m9223372036854775808: $int ).
tff(func_def_73,type,
'ElementProxyStruct': ( $int * $int ) > $int ).
tff(func_def_74,type,
'ArrayIndex': ( $int * $int * $int * $int ) > $int ).
tff(func_def_75,type,
select1: ( $int * $int ) > $int ).
tff(func_def_76,type,
min: ( $int * $int ) > $int ).
tff(func_def_77,type,
'System_Runtime_InteropServices__Exception': $int ).
tff(func_def_78,type,
'AsRefField': ( $int * $int ) > $int ).
tff(func_def_79,type,
'System_IntPtr': $int ).
tff(func_def_80,type,
'Length': $int > $int ).
tff(func_def_81,type,
'System_Reflection_ICustomAttributeProvider': $int ).
tff(func_def_82,type,
'AsElementsPeerField': ( $int * $int ) > $int ).
tff(func_def_83,type,
'ValueArrayGet': ( $int * $int ) > $int ).
tff(func_def_84,type,
store2: ( $int * $int * $int * $int ) > $int ).
tff(func_def_85,type,
'FieldDependsOnFCO': ( $int * $int * $int ) > $int ).
tff(func_def_86,type,
'System_Exception': $int ).
tff(func_def_87,type,
'Rank': $int > $int ).
tff(func_def_88,type,
'System_IComparable': $int ).
tff(func_def_89,type,
'ValueArray': ( $int * $int ) > $int ).
tff(func_def_90,type,
'System_IO_TextWriter': $int ).
tff(func_def_91,type,
'IntArraySet': ( $int * $int * $int ) > $int ).
tff(func_def_92,type,
'AsRepField': ( $int * $int ) > $int ).
tff(func_def_93,type,
'System_Console_get_Out_1': $int ).
tff(func_def_94,type,
'IntStack_top': $int ).
tff(func_def_95,type,
'System_Collections_ICollection': $int ).
tff(func_def_96,type,
intGreater: ( $int * $int ) > $int ).
tff(func_def_97,type,
'ElementProxy': ( $int * $int ) > $int ).
tff(func_def_98,type,
'BoxTester': ( $int * $int ) > $int ).
tff(func_def_99,type,
'SharingMode_Unshared': $int ).
tff(func_def_100,type,
'System_UInt16': $int ).
tff(func_def_101,type,
'Microsoft_Contracts_GuardException': $int ).
tff(func_def_102,type,
'ClassReprInv': $int > $int ).
tff(func_def_103,type,
int_4294967295: $int ).
tff(func_def_104,type,
'ClassRepr': $int > $int ).
tff(func_def_105,type,
'NonNullFieldsAreInitialized': $int ).
tff(func_def_106,type,
'AsInterface': $int > $int ).
tff(func_def_107,type,
'Microsoft_Contracts_ICheckedException': $int ).
tff(func_def_108,type,
boolOr: ( $int * $int ) > $int ).
tff(func_def_109,type,
'IntStack_get_Capacity_1': $int > $int ).
tff(func_def_110,type,
'PeerGroupPlaceholder': $int ).
tff(func_def_111,type,
'IsNotNull': ( $int * $int ) > $int ).
tff(func_def_112,type,
'ArrayCategoryValue': $int ).
tff(func_def_113,type,
'ElementType': $int > $int ).
tff(func_def_114,type,
'System_SByte': $int ).
tff(func_def_115,type,
'BeingConstructed': $int ).
tff(func_def_116,type,
true_1: $int ).
tff(func_def_117,type,
int_2147483647: $int ).
tff(func_def_118,type,
result: $int ).
tff(func_def_119,type,
result_1: $int ).
tff(func_def_120,type,
'System_IComparable_1___System_String': $int ).
tff(func_def_121,type,
'System_String_Equals_System_String': ( $int * $int * $int ) > $int ).
tff(func_def_122,type,
'OneClassDown': ( $int * $int ) > $int ).
tff(func_def_123,type,
'Microsoft_Contracts_ObjectInvariantException': $int ).
tff(func_def_124,type,
'StringLength': $int > $int ).
tff(func_def_125,type,
'AsImmutable': $int > $int ).
tff(func_def_126,type,
'System_Collections_Generic_IEnumerable_1___System_Char': $int ).
tff(func_def_127,type,
'IntToInt': ( $int * $int * $int ) > $int ).
tff(func_def_128,type,
'PurityAxiomsCanBeAssumed': $int ).
tff(func_def_129,type,
'System_Char': $int ).
tff(func_def_130,type,
result_0: $int ).
tff(func_def_131,type,
boolIff: ( $int * $int ) > $int ).
tff(func_def_132,type,
intAtMost: ( $int * $int ) > $int ).
tff(func_def_133,type,
elements: $int ).
tff(func_def_134,type,
'IsValueType': $int > $int ).
tff(func_def_135,type,
'System_Collections_IList': $int ).
tff(func_def_136,type,
'System_UIntPtr': $int ).
tff(func_def_137,type,
'System_UInt32': $int ).
tff(func_def_138,type,
'IsImmutable': $int > $int ).
tff(func_def_139,type,
'AsElementsRepField': ( $int * $int * $int ) > $int ).
tff(func_def_140,type,
inv: $int ).
tff(func_def_141,type,
'FirstConsistentOwner': $int ).
tff(func_def_142,type,
'NonNullRefArrayRaw': ( $int * $int * $int ) > $int ).
tff(func_def_143,type,
'BoxFunc': ( $int * $int * $int * $int ) > $int ).
tff(func_def_144,type,
'AsMutable': $int > $int ).
tff(func_def_145,type,
x: ( $int * $int ) > $int ).
tff(func_def_146,type,
'System_Byte': $int ).
tff(func_def_147,type,
'UnboxedType': $int > $int ).
tff(func_def_148,type,
'System_Console_get_In_1': $int ).
tff(func_def_149,type,
'IncludedInModifiesStar': $int > $int ).
tff(func_def_150,type,
'System_Console_get_In': $int > $int ).
tff(func_def_151,type,
'StructSet': ( $int * $int * $int ) > $int ).
tff(func_def_152,type,
'IntStack': $int ).
tff(func_def_153,type,
'System_Type': $int ).
tff(func_def_154,type,
ownerFrame: $int ).
tff(func_def_155,type,
'System_IEquatable_1___System_String': $int ).
tff(func_def_156,type,
max: ( $int * $int ) > $int ).
tff(func_def_157,type,
shr: ( $int * $int ) > $int ).
tff(func_def_158,type,
'DimLength': ( $int * $int ) > $int ).
tff(func_def_159,type,
'RefArrayGet': ( $int * $int ) > $int ).
tff(func_def_160,type,
x_1: ( $int * $int ) > $int ).
tff(func_def_161,type,
'UBound': ( $int * $int ) > $int ).
tff(func_def_162,type,
exposeVersion: $int ).
tff(func_def_163,type,
'System_ICloneable': $int ).
tff(func_def_164,type,
'System_Reflection_IReflect': $int ).
tff(func_def_165,type,
int_9223372036854775807: $int ).
tff(func_def_166,type,
'Box': ( $int * $int ) > $int ).
tff(func_def_167,type,
'ArrayIndexInvX': $int > $int ).
tff(func_def_168,type,
anyNeq: ( $int * $int ) > $int ).
tff(func_def_169,type,
int_18446744073709551615: $int ).
tff(func_def_170,type,
'IncludeInMainFrameCondition': $int > $int ).
tff(func_def_171,type,
nullObject: $int ).
tff(func_def_172,type,
'IntStack_get_Capacity': ( $int * $int ) > $int ).
tff(func_def_173,type,
'IsHeap': $int > $int ).
tff(func_def_174,type,
select2: ( $int * $int * $int ) > $int ).
tff(func_def_175,type,
'ArrayCategory': $int > $int ).
tff(func_def_176,type,
this: $int ).
tff(func_def_177,type,
'System_Runtime_InteropServices__MemberInfo': $int ).
tff(func_def_178,type,
'RefArray': ( $int * $int ) > $int ).
tff(func_def_179,type,
'IsMemberlessType': $int > $int ).
tff(func_def_180,type,
'BaseClass': $int > $int ).
tff(func_def_181,type,
'Program': $int ).
tff(func_def_182,type,
'NonNullRefArray': ( $int * $int ) > $int ).
tff(func_def_183,type,
'System_String': $int ).
tff(func_def_198,type,
sK0: $int ).
tff(func_def_199,type,
sK1: $int ).
tff(func_def_200,type,
sK2: $int ).
tff(func_def_201,type,
sK3: $int ).
tff(func_def_202,type,
sK4: $int ).
tff(func_def_203,type,
sK5: $int ).
tff(func_def_204,type,
sK6: $int ).
tff(func_def_205,type,
sK7: $int ).
tff(func_def_206,type,
sK8: $int ).
tff(func_def_207,type,
sK9: $int ).
tff(func_def_208,type,
sK10: $int ).
tff(func_def_209,type,
sK11: $int ).
tff(func_def_210,type,
sK12: ( $int * $int ) > $int ).
tff(func_def_211,type,
sK13: ( $int * $int ) > $int ).
tff(func_def_212,type,
sK14: ( $int * $int ) > $int ).
tff(func_def_213,type,
sK15: ( $int * $int ) > $int ).
tff(func_def_214,type,
sK16: ( $int * $int ) > $int ).
tff(func_def_215,type,
sK17: ( $int * $int ) > $int ).
tff(func_def_216,type,
sK18: ( $int * $int ) > $int ).
tff(func_def_217,type,
sK19: ( $int * $int ) > $int ).
tff(func_def_218,type,
sK20: ( $int * $int ) > $int ).
tff(func_def_219,type,
sK21: ( $int * $int ) > $int ).
tff(func_def_220,type,
sK22: ( $int * $int ) > $int ).
tff(func_def_221,type,
sK23: ( $int * $int ) > $int ).
tff(func_def_222,type,
sK24: ( $int * $int ) > $int ).
tff(func_def_223,type,
sK25: ( $int * $int ) > $int ).
tff(func_def_224,type,
sK26: ( $int * $int * $int * $int ) > $int ).
tff(func_def_225,type,
sK27: ( $int * $int ) > $int ).
tff(func_def_226,type,
sK28: ( $int * $int * $int ) > $int ).
tff(func_def_227,type,
sK29: ( $int * $int * $int ) > $int ).
tff(func_def_228,type,
sK30: ( $int * $int ) > $int ).
tff(func_def_229,type,
sK31: ( $int * $int ) > $int ).
tff(func_def_230,type,
sK32: ( $int * $int ) > $int ).
tff(func_def_231,type,
sK33: ( $int * $int * $int * $int ) > $int ).
tff(func_def_232,type,
sK34: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_233,type,
sK35: ( $int * $int * $int ) > $int ).
tff(func_def_234,type,
sK36: ( $int * $int * $int * $int ) > $int ).
tff(func_def_235,type,
sK37: ( $int * $int * $int ) > $int ).
tff(func_def_236,type,
sK38: ( $int * $int * $int ) > $int ).
tff(func_def_237,type,
sK39: ( $int * $int ) > $int ).
tff(func_def_238,type,
sK40: $int > $int ).
tff(func_def_239,type,
sK41: ( $int * $int * $int ) > $int ).
tff(func_def_240,type,
sK42: ( $int * $int * $int ) > $int ).
tff(func_def_241,type,
sK43: ( $int * $int * $int ) > $int ).
tff(func_def_242,type,
sK44: ( $int * $int * $int ) > $int ).
tff(func_def_243,type,
sK45: ( $int * $int * $int ) > $int ).
tff(func_def_244,type,
sK46: ( $int * $int * $int ) > $int ).
tff(func_def_245,type,
sK47: ( $int * $int * $int ) > $int ).
tff(func_def_246,type,
sK48: ( $int * $int * $int ) > $int ).
tff(func_def_247,type,
sK49: ( $int * $int * $int ) > $int ).
tff(func_def_248,type,
sK50: ( $int * $int * $int ) > $int ).
tff(func_def_249,type,
sK51: ( $int * $int * $int ) > $int ).
tff(func_def_250,type,
sK52: ( $int * $int ) > $int ).
tff(func_def_251,type,
sK53: ( $int * $int ) > $int ).
tff(func_def_252,type,
sK54: ( $int * $int ) > $int ).
tff(func_def_253,type,
sK55: ( $int * $int ) > $int ).
tff(func_def_254,type,
sK56: $int > $int ).
tff(func_def_255,type,
sK57: ( $int * $int * $int ) > $int ).
tff(func_def_256,type,
sK58: $int > $int ).
tff(func_def_257,type,
sK59: $int > $int ).
tff(func_def_258,type,
sK60: ( $int * $int ) > $int ).
tff(func_def_259,type,
sK61: ( $int * $int ) > $int ).
tff(func_def_260,type,
sK62: ( $int * $int ) > $int ).
tff(func_def_261,type,
sK63: ( $int * $int ) > $int ).
tff(func_def_262,type,
sK64: ( $int * $int ) > $int ).
tff(func_def_263,type,
sK65: ( $int * $int ) > $int ).
tff(func_def_264,type,
sK66: ( $int * $int ) > $int ).
tff(func_def_265,type,
sK67: ( $int * $int ) > $int ).
tff(func_def_266,type,
sK68: ( $int * $int ) > $int ).
tff(func_def_267,type,
sK69: ( $int * $int * $int ) > $int ).
tff(func_def_268,type,
sK70: ( $int * $int ) > $int ).
tff(func_def_269,type,
sK71: ( $int * $int ) > $int ).
tff(func_def_270,type,
sK72: ( $int * $int ) > $int ).
tff(func_def_271,type,
sK73: ( $int * $int ) > $int ).
tff(func_def_272,type,
sK74: ( $int * $int * $int * $int ) > $int ).
tff(func_def_273,type,
sK75: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_274,type,
sK76: ( $int * $int ) > $int ).
tff(func_def_275,type,
sK77: $int > $int ).
tff(func_def_276,type,
sK78: $int > $int ).
tff(func_def_277,type,
sK79: $int > $int ).
tff(func_def_278,type,
sK80: $int > $int ).
tff(func_def_279,type,
sK81: ( $int * $int ) > $int ).
tff(func_def_280,type,
sK82: ( $int * $int ) > $int ).
tff(func_def_281,type,
sK83: ( $int * $int ) > $int ).
tff(func_def_282,type,
sK84: ( $int * $int * $int ) > $int ).
tff(func_def_283,type,
sK85: ( $int * $int ) > $int ).
tff(func_def_284,type,
sK86: ( $int * $int ) > $int ).
tff(func_def_285,type,
sK87: ( $int * $int ) > $int ).
tff(func_def_286,type,
sK88: ( $int * $int ) > $int ).
tff(func_def_287,type,
sK89: $int ).
tff(func_def_288,type,
sK90: $int > $int ).
tff(pred_def_5,type,
sP91: $int > $o ).
tff(pred_def_6,type,
sP92: $int > $o ).
tff(f3,axiom,
? [X0: $int] :
( ( X0 = 'Length'(select2('Heap',this,'IntStack_elements')) )
& ~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ~ ( ( 'IsNotNull'(this,'IntStack') != true_1 )
| ( select2('Heap',this,allocated) != true_1 ) )
=> ( ( 'InRange'(result,'System_Int32') = true_1 )
=> ( ( 'BeingConstructed' = nullObject )
=> ( ( 'AsPureObject'(this) = this )
=> ( ! [X1: $int] :
? [X2: $int] :
( ( X2 = typeof(X1) )
& ( ~ ( ( X1 = nullObject )
| ( select2('Heap',X1,allocated) != true_1 )
| ( select2('Heap',X1,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X1,ownerFrame) != select2('Heap',this,ownerFrame) ) )
=> ~ ( ( select2('Heap',X1,inv) != X2 )
| ( select2('Heap',X1,localinv) != X2 ) ) ) )
=> ( ( result_0 = X0 )
=> ~ ( ~ ( ( result_1 = result_0 )
=> ( ( result_1 = X0 )
=> ( ( result_2 = result_1 )
=> ~ ( ( result_2 != X0 )
| ~ ( ( result_2 = X0 )
=> $true ) ) ) ) )
| ~ ( ( result_0 != X0 )
=> ( ~ ( ~ $lesseq(0,0)
| ~ $lesseq(0,0) )
=> ~ ( ~ ( ( result_1 = 0 )
=> ( ( result_1 = X0 )
=> ( ( result_2 = result_1 )
=> ~ ( ( result_2 != X0 )
| ~ ( ( result_2 = X0 )
=> $true ) ) ) ) )
| ~ ( ~ ( ~ $lesseq(0,0)
| ~ $lesseq(0,0) )
=> ( ( 0 != X0 )
=> ( ~ ( ~ $lesseq(1,1)
| ~ $lesseq(1,1) )
=> ( ~ ( ~ $lesseq(1,1)
| ~ $lesseq(1,1) )
=> ( ~ ( ~ $lesseq(1,1)
| ~ $lesseq(1,1) )
=> ( ( result_2 = 1 )
=> ~ ( ( result_2 != X0 )
| ~ ( ( result_2 = X0 )
=> $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).
tff(f6,plain,
? [X0: $int] :
( ( X0 = 'Length'(select2('Heap',this,'IntStack_elements')) )
& ~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ~ ( ( 'IsNotNull'(this,'IntStack') != true_1 )
| ( select2('Heap',this,allocated) != true_1 ) )
=> ( ( 'InRange'(result,'System_Int32') = true_1 )
=> ( ( 'BeingConstructed' = nullObject )
=> ( ( 'AsPureObject'(this) = this )
=> ( ! [X1: $int] :
? [X2: $int] :
( ( X2 = typeof(X1) )
& ( ~ ( ( X1 = nullObject )
| ( select2('Heap',X1,allocated) != true_1 )
| ( select2('Heap',X1,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X1,ownerFrame) != select2('Heap',this,ownerFrame) ) )
=> ~ ( ( select2('Heap',X1,inv) != X2 )
| ( select2('Heap',X1,localinv) != X2 ) ) ) )
=> ( ( result_0 = X0 )
=> ~ ( ~ ( ( result_1 = result_0 )
=> ( ( result_1 = X0 )
=> ( ( result_2 = result_1 )
=> ~ ( ( result_2 != X0 )
| ~ ( ( result_2 = X0 )
=> $true ) ) ) ) )
| ~ ( ( result_0 != X0 )
=> ( ~ ( $less(0,0)
| $less(0,0) )
=> ~ ( ~ ( ( result_1 = 0 )
=> ( ( result_1 = X0 )
=> ( ( result_2 = result_1 )
=> ~ ( ( result_2 != X0 )
| ~ ( ( result_2 = X0 )
=> $true ) ) ) ) )
| ~ ( ~ ( $less(0,0)
| $less(0,0) )
=> ( ( 0 != X0 )
=> ( ~ ( $less(1,1)
| $less(1,1) )
=> ( ~ ( $less(1,1)
| $less(1,1) )
=> ( ~ ( $less(1,1)
| $less(1,1) )
=> ( ( result_2 = 1 )
=> ~ ( ( result_2 != X0 )
| ~ ( ( result_2 = X0 )
=> $true ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f3]) ).
tff(f32,plain,
? [X0: $int] :
( ( X0 = 'Length'(select2('Heap',this,'IntStack_elements')) )
& ( ( ( ( result_2 != X0 )
| ( $false
& ( result_2 = X0 ) ) )
& ( result_2 = result_1 )
& ( result_1 = X0 )
& ( result_1 = result_0 ) )
| ( ( ( ( ( result_2 != X0 )
| ( $false
& ( result_2 = X0 ) ) )
& ( result_2 = result_1 )
& ( result_1 = X0 )
& ( result_1 = 0 ) )
| ( ( ( result_2 != X0 )
| ( $false
& ( result_2 = X0 ) ) )
& ( result_2 = 1 )
& ~ $less(1,1)
& ~ $less(1,1)
& ~ $less(1,1)
& ~ $less(1,1)
& ~ $less(1,1)
& ~ $less(1,1)
& ( 0 != X0 )
& ~ $less(0,0)
& ~ $less(0,0) ) )
& ~ $less(0,0)
& ~ $less(0,0)
& ( result_0 != X0 ) ) )
& ( result_0 = X0 )
& ! [X1: $int] :
? [X2: $int] :
( ( X2 = typeof(X1) )
& ( ( ( select2('Heap',X1,inv) = X2 )
& ( select2('Heap',X1,localinv) = X2 ) )
| ( X1 = nullObject )
| ( select2('Heap',X1,allocated) != true_1 )
| ( select2('Heap',X1,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X1,ownerFrame) != select2('Heap',this,ownerFrame) ) ) )
& ( 'AsPureObject'(this) = this )
& ( 'BeingConstructed' = nullObject )
& ( 'InRange'(result,'System_Int32') = true_1 )
& ( true_1 = 'IsNotNull'(this,'IntStack') )
& ( true_1 = select2('Heap',this,allocated) )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(ennf_transformation,[],[f6]) ).
tff(f33,plain,
? [X0: $int] :
( ( X0 = 'Length'(select2('Heap',this,'IntStack_elements')) )
& ( ( ( ( result_2 != X0 )
| ( $false
& ( result_2 = X0 ) ) )
& ( result_2 = result_1 )
& ( result_1 = X0 )
& ( result_1 = result_0 ) )
| ( ( ( ( ( result_2 != X0 )
| ( $false
& ( result_2 = X0 ) ) )
& ( result_2 = result_1 )
& ( result_1 = X0 )
& ( result_1 = 0 ) )
| ( ( ( result_2 != X0 )
| ( $false
& ( result_2 = X0 ) ) )
& ( result_2 = 1 )
& ~ $less(1,1)
& ~ $less(1,1)
& ~ $less(1,1)
& ~ $less(1,1)
& ~ $less(1,1)
& ~ $less(1,1)
& ( 0 != X0 )
& ~ $less(0,0)
& ~ $less(0,0) ) )
& ~ $less(0,0)
& ~ $less(0,0)
& ( result_0 != X0 ) ) )
& ( result_0 = X0 )
& ! [X1: $int] :
? [X2: $int] :
( ( X2 = typeof(X1) )
& ( ( ( select2('Heap',X1,inv) = X2 )
& ( select2('Heap',X1,localinv) = X2 ) )
| ( X1 = nullObject )
| ( select2('Heap',X1,allocated) != true_1 )
| ( select2('Heap',X1,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X1,ownerFrame) != select2('Heap',this,ownerFrame) ) ) )
& ( 'AsPureObject'(this) = this )
& ( 'BeingConstructed' = nullObject )
& ( 'InRange'(result,'System_Int32') = true_1 )
& ( true_1 = 'IsNotNull'(this,'IntStack') )
& ( true_1 = select2('Heap',this,allocated) )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(flattening,[],[f32]) ).
tff(f2568,plain,
! [X0: $int] : ~ sP92(X0),
inference(cnf_transformation,[],[f33]) ).
tff(f2619,plain,
( ( result_0 != sK89 )
| sP92(sK89)
| ( result_2 != sK89 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f2629,plain,
( ( result_0 != sK89 )
| ( result_0 = result_1 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f2631,plain,
( ( result_0 != sK89 )
| ( result_1 = result_2 ) ),
inference(cnf_transformation,[],[f33]) ).
tff(f2638,plain,
result_0 = sK89,
inference(cnf_transformation,[],[f33]) ).
tff(f3212,plain,
( ( sK89 != sK89 )
| ( result_1 = result_2 ) ),
inference(definition_unfolding,[],[f2631,f2638]) ).
tff(f3214,plain,
( ( sK89 != sK89 )
| ( result_1 = sK89 ) ),
inference(definition_unfolding,[],[f2629,f2638,f2638]) ).
tff(f3217,plain,
( ( sK89 != sK89 )
| sP92(sK89)
| ( result_2 != sK89 ) ),
inference(definition_unfolding,[],[f2619,f2638]) ).
tff(f3381,plain,
( sP92(sK89)
| ( result_2 != sK89 ) ),
inference(trivial_inequality_removal,[],[f3217]) ).
tff(f3382,plain,
result_1 = sK89,
inference(trivial_inequality_removal,[],[f3214]) ).
tff(f3384,plain,
result_1 = result_2,
inference(trivial_inequality_removal,[],[f3212]) ).
tff(f3407,definition,
( spl93_1
<=> ( result_2 = sK89 ) ),
introduced(definition,[new_symbols(definition,[spl93_1])],[avatar_definition]) ).
tff(f3409,plain,
( ( result_2 != sK89 )
| spl93_1 ),
inference(avatar_component_clause,[],[f3407]) ).
tff(f3411,definition,
( spl93_2
<=> sP92(sK89) ),
introduced(definition,[new_symbols(definition,[spl93_2])],[avatar_definition]) ).
tff(f3413,plain,
( sP92(sK89)
| ~ spl93_2 ),
inference(avatar_component_clause,[],[f3411]) ).
tff(f3420,definition,
( spl93_4
<=> ( result_1 = result_2 ) ),
introduced(definition,[new_symbols(definition,[spl93_4])],[avatar_definition]) ).
tff(f3422,plain,
( ( result_1 = result_2 )
| ~ spl93_4 ),
inference(avatar_component_clause,[],[f3420]) ).
tff(f3425,definition,
( spl93_5
<=> ( result_1 = sK89 ) ),
introduced(definition,[new_symbols(definition,[spl93_5])],[avatar_definition]) ).
tff(f3455,plain,
( ~ spl93_1
| spl93_2 ),
inference(avatar_split_clause,[],[f3381,f3411,f3407]) ).
tff(f3456,plain,
spl93_5,
inference(avatar_split_clause,[],[f3382,f3425]) ).
tff(f3457,plain,
spl93_4,
inference(avatar_split_clause,[],[f3384,f3420]) ).
tff(f3914,plain,
( ( result_1 != sK89 )
| spl93_1
| ~ spl93_4 ),
inference(superposition,[],[f3409,f3422]) ).
tff(f3916,plain,
( ~ spl93_5
| spl93_1
| ~ spl93_4 ),
inference(avatar_split_clause,[],[f3914,f3420,f3407,f3425]) ).
tff(f3917,plain,
( $false
| ~ spl93_2 ),
inference(forward_subsumption_resolution,[],[f3413,f2568]) ).
tff(f3918,plain,
~ spl93_2,
inference(avatar_contradiction_clause,[],[f3917]) ).
cnf(s15,plain,
( ~ spl93_1
| spl93_2 ),
inference(sat_conversion,[],[f3455]) ).
cnf(s16,plain,
spl93_5,
inference(sat_conversion,[],[f3456]) ).
cnf(s18,plain,
spl93_4,
inference(sat_conversion,[],[f3457]) ).
cnf(s132,plain,
( spl93_1
| ~ spl93_4
| ~ spl93_5 ),
inference(sat_conversion,[],[f3916]) ).
cnf(s133,plain,
~ spl93_2,
inference(sat_conversion,[],[f3918]) ).
cnf(s134,plain,
spl93_1,
inference(rat,[],[s132,s18,s16]) ).
cnf(s135,plain,
$false,
inference(rat,[],[s15,s133,s134]) ).
tff(f3919,plain,
$false,
inference(avatar_sat_refutation,[],[s135]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW801_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.19 % Computer : n001.cluster.edu
% 0.11/0.19 % Model : x86_64 x86_64
% 0.11/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.19 % Memory : 8046.5625MB
% 0.11/0.19 % OS : Linux 6.8.0-71-generic
% 0.11/0.19 % CPULimit : 300
% 0.11/0.19 % WCLimit : 300
% 0.11/0.19 % DateTime : Mon Sep 28 14:36:18 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.22 Running first-order model finding
% 0.11/0.22 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
% 0.75/0.37 % (391711)Will run a generic schedule for satisfiability detection.
% 0.75/0.37 % (391726)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1049138874_2999 on theBenchmark for (2999ds/0Mi)
% 0.75/0.37 % (391727)% WARNING: option uhcvi not known.
% 0.75/0.37 % (391727)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=66753177:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.75/0.37 % (391728)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2967484864:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.75/0.37 % (391729)dis+10_1_sil=32000:sp=arity:random_seed=2100452197:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.75/0.37 % (391730)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=688335159:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.75/0.37 % (391731)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2894093648:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.75/0.37 % (391732)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1536014663:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.75/0.37 % (391726)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.75/0.37 % (391726)Terminated due to inappropriate strategy.
% 0.75/0.37 % (391726)------------------------------
% 0.75/0.37 % (391726)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (391726)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (391726)CaDiCaL version: 2.1.3
% 0.75/0.37 % (391726)Termination reason: Inappropriate
% 0.75/0.37 % (391726)Time elapsed: 0.017 s
% 0.75/0.37 % (391726)Peak memory usage: 12 MB
% 0.75/0.37 % (391726)Instructions burned: 66 (million)
% 0.75/0.37 % (391726)------------------------------
% 0.75/0.37 % (391726)------------------------------
% 0.75/0.37 % (391740)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=818087906:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.75/0.37 % (391729)Instruction limit reached!
% 0.75/0.37 % (391729)------------------------------
% 0.75/0.37 % (391729)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (391729)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (391729)CaDiCaL version: 2.1.3
% 0.75/0.37 % (391729)Termination reason: Instruction limit
% 0.75/0.37 % (391729)Termination phase: Saturation
% 0.75/0.37 % (391729)Time elapsed: 0.048 s
% 0.75/0.37 % (391729)Peak memory usage: 14 MB
% 0.75/0.37 % (391729)Instructions burned: 103 (million)
% 0.75/0.37 % (391740)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.75/0.37 % (391740)Terminated due to inappropriate strategy.
% 0.75/0.37 % (391740)------------------------------
% 0.75/0.37 % (391740)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (391740)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (391740)CaDiCaL version: 2.1.3
% 0.75/0.37 % (391740)Termination reason: Inappropriate
% 0.75/0.37 % (391740)Time elapsed: 0.022 s
% 0.75/0.37 % (391740)Peak memory usage: 12 MB
% 0.75/0.37 % (391740)Instructions burned: 65 (million)
% 0.75/0.37 % (391740)------------------------------
% 0.75/0.37 % (391740)------------------------------
% 0.75/0.37 % (391730)Instruction limit reached!
% 0.75/0.37 % (391730)------------------------------
% 0.75/0.37 % (391730)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (391730)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (391730)CaDiCaL version: 2.1.3
% 0.75/0.37 % (391730)Termination reason: Instruction limit
% 0.75/0.37 % (391730)Termination phase: Saturation
% 0.75/0.37 % (391730)Time elapsed: 0.053 s
% 0.75/0.37 % (391730)Peak memory usage: 14 MB
% 0.75/0.37 % (391730)Instructions burned: 117 (million)
% 0.75/0.37 % (391731)Instruction limit reached!
% 0.75/0.37 % (391731)------------------------------
% 0.75/0.37 % (391731)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (391731)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (391731)CaDiCaL version: 2.1.3
% 0.75/0.37 % (391731)Termination reason: Instruction limit
% 0.75/0.37 % (391731)Termination phase: Saturation
% 0.75/0.37 % (391731)Time elapsed: 0.061 s
% 0.75/0.37 % (391731)Peak memory usage: 14 MB
% 0.75/0.37 % (391731)Instructions burned: 131 (million)
% 0.75/0.37 % (391743)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1524118028:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.75/0.37 % (391742)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=263229879:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.75/0.37 % (391744)ott-21_1_sil=16000:fs=off:random_seed=2111026961:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.75/0.37 % (391727) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-391711-391727"...
% 0.75/0.37 % (391727)...printing done.
% 0.75/0.37 % (391732)Instruction limit reached!
% 0.75/0.37 % (391732)------------------------------
% 0.75/0.37 % (391732)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.37 % (391732)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.37 % (391732)CaDiCaL version: 2.1.3
% 0.75/0.37 % (391732)Termination reason: Instruction limit
% 0.75/0.37 % (391732)Termination phase: Saturation
% 0.75/0.37 % (391732)Time elapsed: 0.078 s
% 0.75/0.37 % (391732)Peak memory usage: 15 MB
% 0.75/0.37 % (391732)Instructions burned: 159 (million)
% 0.75/0.37 % (391727)Refutation found. Thanks to Tanya!
% 0.75/0.37 % SZS status Unsatisfiable for theBenchmark
% 0.75/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.75/0.37 % (391727)------------------------------
% 0.75/0.37 % (391727)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.75/0.38 % (391727)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.75/0.38 % (391727)CaDiCaL version: 2.1.3
% 0.75/0.38 % (391727)Termination reason: Refutation
% 0.75/0.38 % (391727)Time elapsed: 0.078 s
% 0.75/0.38 % (391727)Peak memory usage: 16 MB
% 0.75/0.38 % (391727)Instructions burned: 162 (million)
% 0.75/0.38 % (391711)Success in time 0.144 s
% 0.75/0.38 % Vampire exiting
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