%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWW803_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 : n016.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 01:44:58 PM UTC 2026
% Result : Unsatisfiable 0.22s 5.80s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 3
% Syntax : Number of formulae : 30 ( 5 unt; 0 typ; 1 def)
% Number of atoms : 574 ( 520 equ)
% Maximal formula atoms : 72 ( 19 avg)
% Number of connectives : 835 ( 291 ~; 230 |; 188 &)
% ( 70 <=>; 50 =>; 0 <=; 6 <~>)
% Maximal formula depth : 28 ( 12 avg)
% Maximal term depth : 3 ( 1 avg)
% Number arithmetic : 448 ( 36 atm; 0 fun; 45 num; 367 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 : 15 ( 8 usr; 3 prp; 0-5 aty)
% Number of functors : 272 ( 271 usr; 91 con; 0-5 aty)
% Number of variables : 367 ( 359 !; 8 ?; 367 :)
% 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,
typeof: $int > $int ).
tff(func_def_38,type,
'System_Console_get_Out': $int > $int ).
tff(func_def_39,type,
'System_MarshalByRefObject': $int ).
tff(func_def_40,type,
'ArrayCategoryNonNullRef': $int ).
tff(func_def_41,type,
'IfThenElse': ( $int * $int * $int ) > $int ).
tff(func_def_42,type,
'IntStack_IsEmpty': ( $int * $int ) > $int ).
tff(func_def_43,type,
int_m2147483648: $int ).
tff(func_def_44,type,
'TypeName': $int > $int ).
tff(func_def_45,type,
'System_Reflection_MemberInfo': $int ).
tff(func_def_46,type,
'System_IDisposable': $int ).
tff(func_def_47,type,
'System_String_Equals_System_String_System_String': ( $int * $int * $int ) > $int ).
tff(func_def_48,type,
'AsDirectSubClass': ( $int * $int ) > $int ).
tff(func_def_49,type,
'IsStaticField': $int > $int ).
tff(func_def_50,type,
'System_String_IsInterned_System_String_notnull': ( $int * $int ) > $int ).
tff(func_def_51,type,
'System_UInt64': $int ).
tff(func_def_52,type,
boolImplies: ( $int * $int ) > $int ).
tff(func_def_53,type,
or_1: ( $int * $int ) > $int ).
tff(func_def_54,type,
'System_Runtime_Serialization_ISerializable': $int ).
tff(func_def_55,type,
shl: ( $int * $int ) > $int ).
tff(func_def_56,type,
boolAnd: ( $int * $int ) > $int ).
tff(func_def_57,type,
'System_Boolean': $int ).
tff(func_def_58,type,
'As': ( $int * $int ) > $int ).
tff(func_def_59,type,
'ArrayCategoryRef': $int ).
tff(func_def_60,type,
'AsNonNullRefField': ( $int * $int ) > $int ).
tff(func_def_61,type,
x_2: ( $int * $int ) > $int ).
tff(func_def_62,type,
allocated: $int ).
tff(func_def_63,type,
'System_IO_TextReader': $int ).
tff(func_def_64,type,
'AsRangeField': ( $int * $int ) > $int ).
tff(func_def_65,type,
and_1: ( $int * $int ) > $int ).
tff(func_def_66,type,
'System_Runtime_InteropServices__Type': $int ).
tff(func_def_67,type,
'SharingMode_LockProtected': $int ).
tff(func_def_68,type,
'IntArrayGet': ( $int * $int ) > $int ).
tff(func_def_69,type,
'Is': ( $int * $int ) > $int ).
tff(func_def_70,type,
'IsAllocated': ( $int * $int ) > $int ).
tff(func_def_71,type,
int_m9223372036854775808: $int ).
tff(func_def_72,type,
'ElementProxyStruct': ( $int * $int ) > $int ).
tff(func_def_73,type,
'ArrayIndex': ( $int * $int * $int * $int ) > $int ).
tff(func_def_74,type,
select1: ( $int * $int ) > $int ).
tff(func_def_75,type,
min: ( $int * $int ) > $int ).
tff(func_def_76,type,
'System_Runtime_InteropServices__Exception': $int ).
tff(func_def_77,type,
'AsRefField': ( $int * $int ) > $int ).
tff(func_def_78,type,
'System_IntPtr': $int ).
tff(func_def_79,type,
'Length': $int > $int ).
tff(func_def_80,type,
'System_Reflection_ICustomAttributeProvider': $int ).
tff(func_def_81,type,
'AsElementsPeerField': ( $int * $int ) > $int ).
tff(func_def_82,type,
'ValueArrayGet': ( $int * $int ) > $int ).
tff(func_def_83,type,
store2: ( $int * $int * $int * $int ) > $int ).
tff(func_def_84,type,
'FieldDependsOnFCO': ( $int * $int * $int ) > $int ).
tff(func_def_85,type,
'System_Exception': $int ).
tff(func_def_86,type,
'Rank': $int > $int ).
tff(func_def_87,type,
'System_IComparable': $int ).
tff(func_def_88,type,
'ValueArray': ( $int * $int ) > $int ).
tff(func_def_89,type,
'System_IO_TextWriter': $int ).
tff(func_def_90,type,
'IntArraySet': ( $int * $int * $int ) > $int ).
tff(func_def_91,type,
'AsRepField': ( $int * $int ) > $int ).
tff(func_def_92,type,
'System_Console_get_Out_1': $int ).
tff(func_def_93,type,
'IntStack_top': $int ).
tff(func_def_94,type,
'System_Collections_ICollection': $int ).
tff(func_def_95,type,
intGreater: ( $int * $int ) > $int ).
tff(func_def_96,type,
'ElementProxy': ( $int * $int ) > $int ).
tff(func_def_97,type,
'BoxTester': ( $int * $int ) > $int ).
tff(func_def_98,type,
'SharingMode_Unshared': $int ).
tff(func_def_99,type,
'System_UInt16': $int ).
tff(func_def_100,type,
'Microsoft_Contracts_GuardException': $int ).
tff(func_def_101,type,
'ClassReprInv': $int > $int ).
tff(func_def_102,type,
int_4294967295: $int ).
tff(func_def_103,type,
'ClassRepr': $int > $int ).
tff(func_def_104,type,
'NonNullFieldsAreInitialized': $int ).
tff(func_def_105,type,
'AsInterface': $int > $int ).
tff(func_def_106,type,
'Microsoft_Contracts_ICheckedException': $int ).
tff(func_def_107,type,
boolOr: ( $int * $int ) > $int ).
tff(func_def_108,type,
'IntStack_get_Capacity_1': $int > $int ).
tff(func_def_109,type,
'PeerGroupPlaceholder': $int ).
tff(func_def_110,type,
'IsNotNull': ( $int * $int ) > $int ).
tff(func_def_111,type,
'ArrayCategoryValue': $int ).
tff(func_def_112,type,
'ElementType': $int > $int ).
tff(func_def_113,type,
'System_SByte': $int ).
tff(func_def_114,type,
'BeingConstructed': $int ).
tff(func_def_115,type,
true_1: $int ).
tff(func_def_116,type,
int_2147483647: $int ).
tff(func_def_117,type,
'System_IComparable_1___System_String': $int ).
tff(func_def_118,type,
'System_String_Equals_System_String': ( $int * $int * $int ) > $int ).
tff(func_def_119,type,
'OneClassDown': ( $int * $int ) > $int ).
tff(func_def_120,type,
'Microsoft_Contracts_ObjectInvariantException': $int ).
tff(func_def_121,type,
'StringLength': $int > $int ).
tff(func_def_122,type,
'AsImmutable': $int > $int ).
tff(func_def_123,type,
'System_Collections_Generic_IEnumerable_1___System_Char': $int ).
tff(func_def_124,type,
'IntToInt': ( $int * $int * $int ) > $int ).
tff(func_def_125,type,
'PurityAxiomsCanBeAssumed': $int ).
tff(func_def_126,type,
'System_Char': $int ).
tff(func_def_127,type,
result_0: $int ).
tff(func_def_128,type,
boolIff: ( $int * $int ) > $int ).
tff(func_def_129,type,
intAtMost: ( $int * $int ) > $int ).
tff(func_def_130,type,
elements: $int ).
tff(func_def_131,type,
'IsValueType': $int > $int ).
tff(func_def_132,type,
'System_Collections_IList': $int ).
tff(func_def_133,type,
'System_UIntPtr': $int ).
tff(func_def_134,type,
'System_UInt32': $int ).
tff(func_def_135,type,
'IsImmutable': $int > $int ).
tff(func_def_136,type,
'AsElementsRepField': ( $int * $int * $int ) > $int ).
tff(func_def_137,type,
inv: $int ).
tff(func_def_138,type,
'FirstConsistentOwner': $int ).
tff(func_def_139,type,
'NonNullRefArrayRaw': ( $int * $int * $int ) > $int ).
tff(func_def_140,type,
'BoxFunc': ( $int * $int * $int * $int ) > $int ).
tff(func_def_141,type,
'AsMutable': $int > $int ).
tff(func_def_142,type,
x: ( $int * $int ) > $int ).
tff(func_def_143,type,
'System_Byte': $int ).
tff(func_def_144,type,
'UnboxedType': $int > $int ).
tff(func_def_145,type,
'System_Console_get_In_1': $int ).
tff(func_def_146,type,
'IncludedInModifiesStar': $int > $int ).
tff(func_def_147,type,
'System_Console_get_In': $int > $int ).
tff(func_def_148,type,
'StructSet': ( $int * $int * $int ) > $int ).
tff(func_def_149,type,
'IntStack': $int ).
tff(func_def_150,type,
'System_Type': $int ).
tff(func_def_151,type,
ownerFrame: $int ).
tff(func_def_152,type,
'System_IEquatable_1___System_String': $int ).
tff(func_def_153,type,
max: ( $int * $int ) > $int ).
tff(func_def_154,type,
shr: ( $int * $int ) > $int ).
tff(func_def_155,type,
'DimLength': ( $int * $int ) > $int ).
tff(func_def_156,type,
'RefArrayGet': ( $int * $int ) > $int ).
tff(func_def_157,type,
x_1: ( $int * $int ) > $int ).
tff(func_def_158,type,
'UBound': ( $int * $int ) > $int ).
tff(func_def_159,type,
exposeVersion: $int ).
tff(func_def_160,type,
'System_ICloneable': $int ).
tff(func_def_161,type,
'System_Reflection_IReflect': $int ).
tff(func_def_162,type,
int_9223372036854775807: $int ).
tff(func_def_163,type,
'Box': ( $int * $int ) > $int ).
tff(func_def_164,type,
'ArrayIndexInvX': $int > $int ).
tff(func_def_165,type,
anyNeq: ( $int * $int ) > $int ).
tff(func_def_166,type,
int_18446744073709551615: $int ).
tff(func_def_167,type,
'IncludeInMainFrameCondition': $int > $int ).
tff(func_def_168,type,
nullObject: $int ).
tff(func_def_169,type,
'IntStack_get_Capacity': ( $int * $int ) > $int ).
tff(func_def_170,type,
'IsHeap': $int > $int ).
tff(func_def_171,type,
select2: ( $int * $int * $int ) > $int ).
tff(func_def_172,type,
'ArrayCategory': $int > $int ).
tff(func_def_173,type,
this: $int ).
tff(func_def_174,type,
'System_Runtime_InteropServices__MemberInfo': $int ).
tff(func_def_175,type,
'RefArray': ( $int * $int ) > $int ).
tff(func_def_176,type,
'IsMemberlessType': $int > $int ).
tff(func_def_177,type,
'BaseClass': $int > $int ).
tff(func_def_178,type,
'Program': $int ).
tff(func_def_179,type,
'NonNullRefArray': ( $int * $int ) > $int ).
tff(func_def_180,type,
'System_String': $int ).
tff(func_def_195,type,
sK8: ( $int * $int * $int ) > $int ).
tff(func_def_196,type,
sK9: ( $int * $int * $int ) > $int ).
tff(func_def_197,type,
sK10: ( $int * $int * $int * $int ) > $int ).
tff(func_def_198,type,
sK11: ( $int * $int * $int * $int ) > $int ).
tff(func_def_199,type,
sK12: ( $int * $int * $int * $int ) > $int ).
tff(func_def_200,type,
sK13: ( $int * $int * $int * $int ) > $int ).
tff(func_def_201,type,
sK14: $int ).
tff(func_def_202,type,
sK15: $int ).
tff(func_def_203,type,
sK16: $int ).
tff(func_def_204,type,
sK17: $int ).
tff(func_def_205,type,
sK18: $int ).
tff(func_def_206,type,
sK19: $int ).
tff(func_def_207,type,
sK20: $int ).
tff(func_def_208,type,
sK21: $int ).
tff(func_def_209,type,
sK22: $int ).
tff(func_def_210,type,
sK23: $int ).
tff(func_def_211,type,
sK24: $int ).
tff(func_def_212,type,
sK25: $int ).
tff(func_def_213,type,
sK26: ( $int * $int * $int ) > $int ).
tff(func_def_214,type,
sK27: $int > $int ).
tff(func_def_215,type,
sK28: ( $int * $int ) > $int ).
tff(func_def_216,type,
sK29: ( $int * $int ) > $int ).
tff(func_def_217,type,
sK30: ( $int * $int ) > $int ).
tff(func_def_218,type,
sK31: ( $int * $int ) > $int ).
tff(func_def_219,type,
sK32: ( $int * $int * $int ) > $int ).
tff(func_def_220,type,
sK33: ( $int * $int * $int ) > $int ).
tff(func_def_221,type,
sK34: ( $int * $int * $int ) > $int ).
tff(func_def_222,type,
sK35: ( $int * $int * $int ) > $int ).
tff(func_def_223,type,
sK36: ( $int * $int * $int ) > $int ).
tff(func_def_224,type,
sK37: ( $int * $int * $int ) > $int ).
tff(func_def_225,type,
sK38: ( $int * $int * $int ) > $int ).
tff(func_def_226,type,
sK39: ( $int * $int * $int ) > $int ).
tff(func_def_227,type,
sK40: ( $int * $int * $int ) > $int ).
tff(func_def_228,type,
sK41: ( $int * $int * $int ) > $int ).
tff(func_def_229,type,
sK42: ( $int * $int * $int ) > $int ).
tff(func_def_230,type,
sK43: $int > $int ).
tff(func_def_231,type,
sK44: ( $int * $int ) > $int ).
tff(func_def_232,type,
sK45: ( $int * $int * $int ) > $int ).
tff(func_def_233,type,
sK46: ( $int * $int * $int ) > $int ).
tff(func_def_234,type,
sK47: ( $int * $int ) > $int ).
tff(func_def_235,type,
sK48: ( $int * $int * $int * $int ) > $int ).
tff(func_def_236,type,
sK49: ( $int * $int * $int ) > $int ).
tff(func_def_237,type,
sK50: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_238,type,
sK51: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_239,type,
sK52: ( $int * $int * $int * $int ) > $int ).
tff(func_def_240,type,
sK53: ( $int * $int * $int * $int ) > $int ).
tff(func_def_241,type,
sK54: ( $int * $int ) > $int ).
tff(func_def_242,type,
sK55: ( $int * $int ) > $int ).
tff(func_def_243,type,
sK56: ( $int * $int ) > $int ).
tff(func_def_244,type,
sK57: ( $int * $int * $int ) > $int ).
tff(func_def_245,type,
sK58: ( $int * $int * $int ) > $int ).
tff(func_def_246,type,
sK59: ( $int * $int ) > $int ).
tff(func_def_247,type,
sK60: ( $int * $int ) > $int ).
tff(func_def_248,type,
sK61: ( $int * $int ) > $int ).
tff(func_def_249,type,
sK62: ( $int * $int ) > $int ).
tff(func_def_250,type,
sK63: ( $int * $int ) > $int ).
tff(func_def_251,type,
sK64: ( $int * $int * $int * $int ) > $int ).
tff(func_def_252,type,
sK65: ( $int * $int * $int ) > $int ).
tff(func_def_253,type,
sK66: ( $int * $int * $int ) > $int ).
tff(func_def_254,type,
sK67: ( $int * $int ) > $int ).
tff(func_def_255,type,
sK68: ( $int * $int ) > $int ).
tff(func_def_256,type,
sK69: ( $int * $int ) > $int ).
tff(func_def_257,type,
sK70: ( $int * $int ) > $int ).
tff(func_def_258,type,
sK71: ( $int * $int ) > $int ).
tff(func_def_259,type,
sK72: ( $int * $int ) > $int ).
tff(func_def_260,type,
sK73: ( $int * $int ) > $int ).
tff(func_def_261,type,
sK74: ( $int * $int ) > $int ).
tff(func_def_262,type,
sK75: ( $int * $int ) > $int ).
tff(func_def_263,type,
sK76: ( $int * $int ) > $int ).
tff(func_def_264,type,
sK77: ( $int * $int ) > $int ).
tff(func_def_265,type,
sK78: ( $int * $int ) > $int ).
tff(func_def_266,type,
sK79: ( $int * $int ) > $int ).
tff(func_def_267,type,
sK80: ( $int * $int ) > $int ).
tff(func_def_268,type,
sK81: ( $int * $int ) > $int ).
tff(func_def_269,type,
sK82: ( $int * $int ) > $int ).
tff(func_def_270,type,
sK83: ( $int * $int ) > $int ).
tff(func_def_271,type,
sK84: ( $int * $int ) > $int ).
tff(func_def_272,type,
sK85: ( $int * $int ) > $int ).
tff(func_def_273,type,
sK86: ( $int * $int ) > $int ).
tff(func_def_274,type,
sK87: ( $int * $int ) > $int ).
tff(func_def_275,type,
sK88: ( $int * $int ) > $int ).
tff(func_def_276,type,
sK89: ( $int * $int ) > $int ).
tff(func_def_277,type,
sK90: ( $int * $int ) > $int ).
tff(func_def_278,type,
sK91: $int > $int ).
tff(func_def_279,type,
sK92: $int > $int ).
tff(func_def_280,type,
sK93: $int > $int ).
tff(func_def_281,type,
sK94: $int > $int ).
tff(func_def_282,type,
sK95: $int > $int ).
tff(func_def_283,type,
sK96: $int > $int ).
tff(func_def_284,type,
sK97: $int > $int ).
tff(pred_def_5,type,
sP0: ( $int * $int * $int ) > $o ).
tff(pred_def_6,type,
sP1: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_7,type,
sP2: ( $int * $int * $int ) > $o ).
tff(pred_def_8,type,
sP3: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_9,type,
sP4: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_10,type,
sP5: ( $int * $int * $int ) > $o ).
tff(pred_def_11,type,
sP6: ( $int * $int * $int ) > $o ).
tff(f1,axiom,
~ ( ~ ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
| ~ ! [X0: $int,X1: $int,X3: $int,X2: $int] :
( ( X1 != X3 )
=> ( select1(store1(X0,X1,X2),X3) = select1(X0,X3) ) )
| ~ ! [X0: $int,X4: $int,X5: $int,X2: $int] : ( select2(store2(X0,X4,X5,X2),X4,X5) = X2 )
| ~ ! [X0: $int,X4: $int,X5: $int,X6: $int,X7: $int,X2: $int] :
( ( X4 != X6 )
=> ( select2(store2(X0,X4,X5,X2),X6,X7) = select2(X0,X6,X7) ) )
| ~ ! [X0: $int,X4: $int,X5: $int,X6: $int,X7: $int,X2: $int] :
( ( X5 != X7 )
=> ( select2(store2(X0,X4,X5,X2),X6,X7) = select2(X0,X6,X7) ) )
| ~ ! [X8: $int,X9: $int] :
( ( boolIff(X8,X9) = true_1 )
<=> ( ( X8 = true_1 )
<=> ( X9 = true_1 ) ) )
| ~ ! [X8: $int,X9: $int] :
( ( boolImplies(X8,X9) = true_1 )
<=> ( ( X8 = true_1 )
=> ( X9 = true_1 ) ) )
| ~ ! [X8: $int,X9: $int] :
( ( boolAnd(X8,X9) = true_1 )
<=> ~ ( ( X8 != true_1 )
| ( X9 != true_1 ) ) )
| ~ ! [X8: $int,X9: $int] :
( ( boolOr(X8,X9) = true_1 )
<=> ( ( X8 = true_1 )
| ( X9 = true_1 ) ) )
| ~ ! [X8: $int] :
( ( boolNot(X8) = true_1 )
<=> ( X8 != true_1 ) )
| ~ ! [X8: $int,X9: $int] :
( ( anyEqual(X8,X9) = true_1 )
<=> ( X8 = X9 ) )
| ~ ! [X8: $int,X9: $int] :
( ( anyNeq(X8,X9) = true_1 )
<=> ( X8 != X9 ) )
| ~ ! [X8: $int,X9: $int] :
( ( intLess(X8,X9) = true_1 )
<=> $less(X8,X9) )
| ~ ! [X8: $int,X9: $int] :
( ( intAtMost(X8,X9) = true_1 )
<=> $lesseq(X8,X9) )
| ~ ! [X8: $int,X9: $int] :
( ( intAtLeast(X8,X9) = true_1 )
<=> $greatereq(X8,X9) )
| ~ ! [X8: $int,X9: $int] :
( ( intGreater(X8,X9) = true_1 )
<=> $greater(X8,X9) )
| ( false_1 = true_1 )
| ~ ! [X10: $int] : ( x(X10,X10) = true_1 )
| ~ ! [X10: $int,X11: $int,X2: $int] :
( ~ ( ( x(X10,X11) != true_1 )
| ( x(X11,X2) != true_1 ) )
=> ( x(X10,X2) = true_1 ) )
| ~ ! [X10: $int,X11: $int] :
( ~ ( ( x(X10,X11) != true_1 )
| ( x(X11,X10) != true_1 ) )
=> ( X10 = X11 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_1) ).
tff(f3,axiom,
~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ~ ( ( 'IsNotNull'(this,'IntStack') != true_1 )
| ( select2('Heap',this,allocated) != true_1 ) )
=> ( ( 'BeingConstructed' = nullObject )
=> ( ( 'AsPureObject'(this) = this )
=> ( ! [X0: $int] :
? [X1: $int] :
( ( X1 = typeof(X0) )
& ( ~ ( ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) )
=> ~ ( ( select2('Heap',X0,inv) != X1 )
| ( select2('Heap',X0,localinv) != X1 ) ) ) )
=> ~ ( ~ ( ( $true
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
=> ( ( result_0 = true_1 )
=> ~ ( ~ ( ( result_0 = true_1 )
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
| ~ ( ( ( result_0 = true_1 )
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
=> $true ) ) ) )
| ~ ( ( $true
<=> ( 'IntStack_get_Top'('Heap',this) != 0 ) )
=> ( ( result_0 = false_1 )
=> ~ ( ~ ( ( result_0 = true_1 )
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
| ~ ( ( ( result_0 = true_1 )
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
=> $true ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3) ).
tff(f4,plain,
~ ( ~ ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
| ~ ! [X0: $int,X1: $int,X3: $int,X2: $int] :
( ( X1 != X3 )
=> ( select1(store1(X0,X1,X2),X3) = select1(X0,X3) ) )
| ~ ! [X0: $int,X4: $int,X5: $int,X2: $int] : ( select2(store2(X0,X4,X5,X2),X4,X5) = X2 )
| ~ ! [X0: $int,X4: $int,X5: $int,X6: $int,X7: $int,X2: $int] :
( ( X4 != X6 )
=> ( select2(store2(X0,X4,X5,X2),X6,X7) = select2(X0,X6,X7) ) )
| ~ ! [X0: $int,X4: $int,X5: $int,X6: $int,X7: $int,X2: $int] :
( ( X5 != X7 )
=> ( select2(store2(X0,X4,X5,X2),X6,X7) = select2(X0,X6,X7) ) )
| ~ ! [X8: $int,X9: $int] :
( ( boolIff(X8,X9) = true_1 )
<=> ( ( X8 = true_1 )
<=> ( X9 = true_1 ) ) )
| ~ ! [X8: $int,X9: $int] :
( ( boolImplies(X8,X9) = true_1 )
<=> ( ( X8 = true_1 )
=> ( X9 = true_1 ) ) )
| ~ ! [X8: $int,X9: $int] :
( ( boolAnd(X8,X9) = true_1 )
<=> ~ ( ( X8 != true_1 )
| ( X9 != true_1 ) ) )
| ~ ! [X8: $int,X9: $int] :
( ( boolOr(X8,X9) = true_1 )
<=> ( ( X8 = true_1 )
| ( X9 = true_1 ) ) )
| ~ ! [X8: $int] :
( ( boolNot(X8) = true_1 )
<=> ( X8 != true_1 ) )
| ~ ! [X8: $int,X9: $int] :
( ( anyEqual(X8,X9) = true_1 )
<=> ( X8 = X9 ) )
| ~ ! [X8: $int,X9: $int] :
( ( anyNeq(X8,X9) = true_1 )
<=> ( X8 != X9 ) )
| ~ ! [X8: $int,X9: $int] :
( ( intLess(X8,X9) = true_1 )
<=> $less(X8,X9) )
| ~ ! [X8: $int,X9: $int] :
( ( intAtMost(X8,X9) = true_1 )
<=> ~ $less(X9,X8) )
| ~ ! [X8: $int,X9: $int] :
( ( intAtLeast(X8,X9) = true_1 )
<=> ~ $less(X8,X9) )
| ~ ! [X8: $int,X9: $int] :
( ( intGreater(X8,X9) = true_1 )
<=> $less(X9,X8) )
| ( false_1 = true_1 )
| ~ ! [X10: $int] : ( x(X10,X10) = true_1 )
| ~ ! [X10: $int,X11: $int,X2: $int] :
( ~ ( ( x(X10,X11) != true_1 )
| ( x(X11,X2) != true_1 ) )
=> ( x(X10,X2) = true_1 ) )
| ~ ! [X10: $int,X11: $int] :
( ~ ( ( x(X10,X11) != true_1 )
| ( x(X11,X10) != true_1 ) )
=> ( X10 = X11 ) ) ),
inference(theory_normalization,[],[f1]) ).
tff(f24,plain,
~ ( ~ ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
| ~ ! [X3: $int,X4: $int,X5: $int,X6: $int] :
( ( X4 != X5 )
=> ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) ) )
| ~ ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
| ~ ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
( ( X12 != X14 )
=> ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) ) )
| ~ ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
( ( X19 != X21 )
=> ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) ) )
| ~ ! [X23: $int,X24: $int] :
( ( true_1 = boolIff(X23,X24) )
<=> ( ( true_1 = X23 )
<=> ( true_1 = X24 ) ) )
| ~ ! [X25: $int,X26: $int] :
( ( true_1 = boolImplies(X25,X26) )
<=> ( ( true_1 = X25 )
=> ( true_1 = X26 ) ) )
| ~ ! [X27: $int,X28: $int] :
( ( true_1 = boolAnd(X27,X28) )
<=> ~ ( ( true_1 != X27 )
| ( true_1 != X28 ) ) )
| ~ ! [X29: $int,X30: $int] :
( ( true_1 = boolOr(X29,X30) )
<=> ( ( true_1 = X29 )
| ( true_1 = X30 ) ) )
| ~ ! [X31: $int] :
( ( true_1 = boolNot(X31) )
<=> ( true_1 != X31 ) )
| ~ ! [X32: $int,X33: $int] :
( ( true_1 = anyEqual(X32,X33) )
<=> ( X32 = X33 ) )
| ~ ! [X34: $int,X35: $int] :
( ( true_1 = anyNeq(X34,X35) )
<=> ( X34 != X35 ) )
| ~ ! [X36: $int,X37: $int] :
( ( true_1 = intLess(X36,X37) )
<=> $less(X36,X37) )
| ~ ! [X38: $int,X39: $int] :
( ( true_1 = intAtMost(X38,X39) )
<=> ~ $less(X39,X38) )
| ~ ! [X40: $int,X41: $int] :
( ( true_1 = intAtLeast(X40,X41) )
<=> ~ $less(X40,X41) )
| ~ ! [X42: $int,X43: $int] :
( ( true_1 = intGreater(X42,X43) )
<=> $less(X43,X42) )
| ( false_1 = true_1 )
| ~ ! [X44: $int] : ( true_1 = x(X44,X44) )
| ~ ! [X45: $int,X46: $int,X47: $int] :
( ~ ( ( true_1 != x(X45,X46) )
| ( true_1 != x(X46,X47) ) )
=> ( true_1 = x(X45,X47) ) )
| ~ ! [X48: $int,X49: $int] :
( ~ ( ( true_1 != x(X48,X49) )
| ( true_1 != x(X49,X48) ) )
=> ( X48 = X49 ) ) ),
inference(rectify,[],[f4]) ).
tff(f28,plain,
~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ~ ( ( 'IsNotNull'(this,'IntStack') != true_1 )
| ( select2('Heap',this,allocated) != true_1 ) )
=> ( ( 'BeingConstructed' = nullObject )
=> ( ( 'AsPureObject'(this) = this )
=> ( ! [X0: $int] :
? [X1: $int] :
( ( X1 = typeof(X0) )
& ( ~ ( ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) )
=> ~ ( ( select2('Heap',X0,inv) != X1 )
| ( select2('Heap',X0,localinv) != X1 ) ) ) )
=> ~ ( ~ ( ( 'IntStack_get_Top'('Heap',this) = 0 )
=> ( ( result_0 = true_1 )
=> ~ ~ ( ( result_0 = true_1 )
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) ) ) )
| ~ ( ( 'IntStack_get_Top'('Heap',this) != 0 )
=> ( ( result_0 = false_1 )
=> ~ ~ ( ( result_0 = true_1 )
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) ) ) ) ) ) ) ) ) ),
inference(true_and_false_elimination,[],[f3]) ).
tff(f29,plain,
~ ( ( 'IsHeap'('Heap') = true_1 )
=> ( ~ ( ( 'IsNotNull'(this,'IntStack') != true_1 )
| ( select2('Heap',this,allocated) != true_1 ) )
=> ( ( 'BeingConstructed' = nullObject )
=> ( ( 'AsPureObject'(this) = this )
=> ( ! [X0: $int] :
? [X1: $int] :
( ( X1 = typeof(X0) )
& ( ~ ( ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) )
=> ~ ( ( select2('Heap',X0,inv) != X1 )
| ( select2('Heap',X0,localinv) != X1 ) ) ) )
=> ~ ( ~ ( ( 'IntStack_get_Top'('Heap',this) = 0 )
=> ( ( result_0 = true_1 )
=> ( ( result_0 = true_1 )
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) ) ) )
| ~ ( ( 'IntStack_get_Top'('Heap',this) != 0 )
=> ( ( result_0 = false_1 )
=> ( ( result_0 = true_1 )
<=> ( 'IntStack_get_Top'('Heap',this) = 0 ) ) ) ) ) ) ) ) ) ),
inference(flattening,[],[f28]) ).
tff(f30,plain,
( ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
& ! [X3: $int,X4: $int,X5: $int,X6: $int] :
( ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) )
| ( X4 = X5 ) )
& ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
& ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
( ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) )
| ( X12 = X14 ) )
& ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
( ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) )
| ( X19 = X21 ) )
& ! [X23: $int,X24: $int] :
( ( true_1 = boolIff(X23,X24) )
<=> ( ( true_1 = X23 )
<=> ( true_1 = X24 ) ) )
& ! [X25: $int,X26: $int] :
( ( true_1 = boolImplies(X25,X26) )
<=> ( ( true_1 = X26 )
| ( true_1 != X25 ) ) )
& ! [X27: $int,X28: $int] :
( ( true_1 = boolAnd(X27,X28) )
<=> ( ( true_1 = X27 )
& ( true_1 = X28 ) ) )
& ! [X29: $int,X30: $int] :
( ( true_1 = boolOr(X29,X30) )
<=> ( ( true_1 = X29 )
| ( true_1 = X30 ) ) )
& ! [X31: $int] :
( ( true_1 = boolNot(X31) )
<=> ( true_1 != X31 ) )
& ! [X32: $int,X33: $int] :
( ( true_1 = anyEqual(X32,X33) )
<=> ( X32 = X33 ) )
& ! [X34: $int,X35: $int] :
( ( true_1 = anyNeq(X34,X35) )
<=> ( X34 != X35 ) )
& ! [X36: $int,X37: $int] :
( ( true_1 = intLess(X36,X37) )
<=> $less(X36,X37) )
& ! [X38: $int,X39: $int] :
( ( true_1 = intAtMost(X38,X39) )
<=> ~ $less(X39,X38) )
& ! [X40: $int,X41: $int] :
( ( true_1 = intAtLeast(X40,X41) )
<=> ~ $less(X40,X41) )
& ! [X42: $int,X43: $int] :
( ( true_1 = intGreater(X42,X43) )
<=> $less(X43,X42) )
& ( true_1 != false_1 )
& ! [X44: $int] : ( true_1 = x(X44,X44) )
& ! [X45: $int,X46: $int,X47: $int] :
( ( true_1 = x(X45,X47) )
| ( true_1 != x(X45,X46) )
| ( true_1 != x(X46,X47) ) )
& ! [X48: $int,X49: $int] :
( ( X48 = X49 )
| ( true_1 != x(X48,X49) )
| ( true_1 != x(X49,X48) ) ) ),
inference(ennf_transformation,[],[f24]) ).
tff(f31,plain,
( ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
& ! [X3: $int,X4: $int,X5: $int,X6: $int] :
( ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) )
| ( X4 = X5 ) )
& ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
& ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
( ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) )
| ( X12 = X14 ) )
& ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
( ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) )
| ( X19 = X21 ) )
& ! [X23: $int,X24: $int] :
( ( true_1 = boolIff(X23,X24) )
<=> ( ( true_1 = X23 )
<=> ( true_1 = X24 ) ) )
& ! [X25: $int,X26: $int] :
( ( true_1 = boolImplies(X25,X26) )
<=> ( ( true_1 = X26 )
| ( true_1 != X25 ) ) )
& ! [X27: $int,X28: $int] :
( ( true_1 = boolAnd(X27,X28) )
<=> ( ( true_1 = X27 )
& ( true_1 = X28 ) ) )
& ! [X29: $int,X30: $int] :
( ( true_1 = boolOr(X29,X30) )
<=> ( ( true_1 = X29 )
| ( true_1 = X30 ) ) )
& ! [X31: $int] :
( ( true_1 = boolNot(X31) )
<=> ( true_1 != X31 ) )
& ! [X32: $int,X33: $int] :
( ( true_1 = anyEqual(X32,X33) )
<=> ( X32 = X33 ) )
& ! [X34: $int,X35: $int] :
( ( true_1 = anyNeq(X34,X35) )
<=> ( X34 != X35 ) )
& ! [X36: $int,X37: $int] :
( ( true_1 = intLess(X36,X37) )
<=> $less(X36,X37) )
& ! [X38: $int,X39: $int] :
( ( true_1 = intAtMost(X38,X39) )
<=> ~ $less(X39,X38) )
& ! [X40: $int,X41: $int] :
( ( true_1 = intAtLeast(X40,X41) )
<=> ~ $less(X40,X41) )
& ! [X42: $int,X43: $int] :
( ( true_1 = intGreater(X42,X43) )
<=> $less(X43,X42) )
& ( true_1 != false_1 )
& ! [X44: $int] : ( true_1 = x(X44,X44) )
& ! [X45: $int,X46: $int,X47: $int] :
( ( true_1 = x(X45,X47) )
| ( true_1 != x(X45,X46) )
| ( true_1 != x(X46,X47) ) )
& ! [X48: $int,X49: $int] :
( ( X48 = X49 )
| ( true_1 != x(X48,X49) )
| ( true_1 != x(X49,X48) ) ) ),
inference(flattening,[],[f30]) ).
tff(f34,plain,
( ( ( ( ( result_0 = true_1 )
<~> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
& ( result_0 = true_1 )
& ( 'IntStack_get_Top'('Heap',this) = 0 ) )
| ( ( ( result_0 = true_1 )
<~> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
& ( result_0 = false_1 )
& ( 'IntStack_get_Top'('Heap',this) != 0 ) ) )
& ! [X0: $int] :
? [X1: $int] :
( ( X1 = typeof(X0) )
& ( ( ( select2('Heap',X0,inv) = X1 )
& ( select2('Heap',X0,localinv) = X1 ) )
| ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) ) )
& ( 'AsPureObject'(this) = this )
& ( 'BeingConstructed' = nullObject )
& ( true_1 = 'IsNotNull'(this,'IntStack') )
& ( true_1 = select2('Heap',this,allocated) )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(ennf_transformation,[],[f29]) ).
tff(f35,plain,
( ( ( ( ( result_0 = true_1 )
<~> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
& ( result_0 = true_1 )
& ( 'IntStack_get_Top'('Heap',this) = 0 ) )
| ( ( ( result_0 = true_1 )
<~> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
& ( result_0 = false_1 )
& ( 'IntStack_get_Top'('Heap',this) != 0 ) ) )
& ! [X0: $int] :
? [X1: $int] :
( ( X1 = typeof(X0) )
& ( ( ( select2('Heap',X0,inv) = X1 )
& ( select2('Heap',X0,localinv) = X1 ) )
| ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) ) )
& ( 'AsPureObject'(this) = this )
& ( 'BeingConstructed' = nullObject )
& ( true_1 = 'IsNotNull'(this,'IntStack') )
& ( true_1 = select2('Heap',this,allocated) )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(flattening,[],[f34]) ).
tff(f44,definition,
( ( ( ( result_0 = true_1 )
<~> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
& ( result_0 = false_1 )
& ( 'IntStack_get_Top'('Heap',this) != 0 ) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
tff(f45,plain,
( ( ( ( ( result_0 = true_1 )
<~> ( 'IntStack_get_Top'('Heap',this) = 0 ) )
& ( result_0 = true_1 )
& ( 'IntStack_get_Top'('Heap',this) = 0 ) )
| sP7 )
& ! [X0: $int] :
? [X1: $int] :
( ( X1 = typeof(X0) )
& ( ( ( select2('Heap',X0,inv) = X1 )
& ( select2('Heap',X0,localinv) = X1 ) )
| ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) ) )
& ( 'AsPureObject'(this) = this )
& ( 'BeingConstructed' = nullObject )
& ( true_1 = 'IsNotNull'(this,'IntStack') )
& ( true_1 = select2('Heap',this,allocated) )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(definition_folding,[],[f35,f44]) ).
tff(f46,plain,
( ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
& ! [X3: $int,X4: $int,X5: $int,X6: $int] :
( ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) )
| ( X4 = X5 ) )
& ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
& ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
( ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) )
| ( X12 = X14 ) )
& ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
( ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) )
| ( X19 = X21 ) )
& ! [X23: $int,X24: $int] :
( ( ( true_1 = boolIff(X23,X24) )
| ( ( ( true_1 != X24 )
| ( true_1 != X23 ) )
& ( ( true_1 = X24 )
| ( true_1 = X23 ) ) ) )
& ( ( ( ( true_1 = X23 )
| ( true_1 != X24 ) )
& ( ( true_1 = X24 )
| ( true_1 != X23 ) ) )
| ( true_1 != boolIff(X23,X24) ) ) )
& ! [X25: $int,X26: $int] :
( ( ( true_1 = boolImplies(X25,X26) )
| ( ( true_1 != X26 )
& ( true_1 = X25 ) ) )
& ( ( true_1 = X26 )
| ( true_1 != X25 )
| ( true_1 != boolImplies(X25,X26) ) ) )
& ! [X27: $int,X28: $int] :
( ( ( true_1 = boolAnd(X27,X28) )
| ( true_1 != X27 )
| ( true_1 != X28 ) )
& ( ( ( true_1 = X27 )
& ( true_1 = X28 ) )
| ( true_1 != boolAnd(X27,X28) ) ) )
& ! [X29: $int,X30: $int] :
( ( ( true_1 = boolOr(X29,X30) )
| ( ( true_1 != X29 )
& ( true_1 != X30 ) ) )
& ( ( true_1 = X29 )
| ( true_1 = X30 )
| ( true_1 != boolOr(X29,X30) ) ) )
& ! [X31: $int] :
( ( ( true_1 = boolNot(X31) )
| ( true_1 = X31 ) )
& ( ( true_1 != X31 )
| ( true_1 != boolNot(X31) ) ) )
& ! [X32: $int,X33: $int] :
( ( ( true_1 = anyEqual(X32,X33) )
| ( X32 != X33 ) )
& ( ( X32 = X33 )
| ( true_1 != anyEqual(X32,X33) ) ) )
& ! [X34: $int,X35: $int] :
( ( ( true_1 = anyNeq(X34,X35) )
| ( X34 = X35 ) )
& ( ( X34 != X35 )
| ( true_1 != anyNeq(X34,X35) ) ) )
& ! [X36: $int,X37: $int] :
( ( ( true_1 = intLess(X36,X37) )
| ~ $less(X36,X37) )
& ( $less(X36,X37)
| ( true_1 != intLess(X36,X37) ) ) )
& ! [X38: $int,X39: $int] :
( ( ( true_1 = intAtMost(X38,X39) )
| $less(X39,X38) )
& ( ~ $less(X39,X38)
| ( true_1 != intAtMost(X38,X39) ) ) )
& ! [X40: $int,X41: $int] :
( ( ( true_1 = intAtLeast(X40,X41) )
| $less(X40,X41) )
& ( ~ $less(X40,X41)
| ( true_1 != intAtLeast(X40,X41) ) ) )
& ! [X42: $int,X43: $int] :
( ( ( true_1 = intGreater(X42,X43) )
| ~ $less(X43,X42) )
& ( $less(X43,X42)
| ( true_1 != intGreater(X42,X43) ) ) )
& ( true_1 != false_1 )
& ! [X44: $int] : ( true_1 = x(X44,X44) )
& ! [X45: $int,X46: $int,X47: $int] :
( ( true_1 = x(X45,X47) )
| ( true_1 != x(X45,X46) )
| ( true_1 != x(X46,X47) ) )
& ! [X48: $int,X49: $int] :
( ( X48 = X49 )
| ( true_1 != x(X48,X49) )
| ( true_1 != x(X49,X48) ) ) ),
inference(nnf_transformation,[],[f31]) ).
tff(f47,plain,
( ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 )
& ! [X3: $int,X4: $int,X5: $int,X6: $int] :
( ( select1(store1(X3,X4,X6),X5) = select1(X3,X5) )
| ( X4 = X5 ) )
& ! [X7: $int,X8: $int,X9: $int,X10: $int] : ( select2(store2(X7,X8,X9,X10),X8,X9) = X10 )
& ! [X11: $int,X12: $int,X13: $int,X14: $int,X15: $int,X16: $int] :
( ( select2(store2(X11,X12,X13,X16),X14,X15) = select2(X11,X14,X15) )
| ( X12 = X14 ) )
& ! [X17: $int,X18: $int,X19: $int,X20: $int,X21: $int,X22: $int] :
( ( select2(store2(X17,X18,X19,X22),X20,X21) = select2(X17,X20,X21) )
| ( X19 = X21 ) )
& ! [X23: $int,X24: $int] :
( ( ( true_1 = boolIff(X23,X24) )
| ( ( ( true_1 != X24 )
| ( true_1 != X23 ) )
& ( ( true_1 = X24 )
| ( true_1 = X23 ) ) ) )
& ( ( ( ( true_1 = X23 )
| ( true_1 != X24 ) )
& ( ( true_1 = X24 )
| ( true_1 != X23 ) ) )
| ( true_1 != boolIff(X23,X24) ) ) )
& ! [X25: $int,X26: $int] :
( ( ( true_1 = boolImplies(X25,X26) )
| ( ( true_1 != X26 )
& ( true_1 = X25 ) ) )
& ( ( true_1 = X26 )
| ( true_1 != X25 )
| ( true_1 != boolImplies(X25,X26) ) ) )
& ! [X27: $int,X28: $int] :
( ( ( true_1 = boolAnd(X27,X28) )
| ( true_1 != X27 )
| ( true_1 != X28 ) )
& ( ( ( true_1 = X27 )
& ( true_1 = X28 ) )
| ( true_1 != boolAnd(X27,X28) ) ) )
& ! [X29: $int,X30: $int] :
( ( ( true_1 = boolOr(X29,X30) )
| ( ( true_1 != X29 )
& ( true_1 != X30 ) ) )
& ( ( true_1 = X29 )
| ( true_1 = X30 )
| ( true_1 != boolOr(X29,X30) ) ) )
& ! [X31: $int] :
( ( ( true_1 = boolNot(X31) )
| ( true_1 = X31 ) )
& ( ( true_1 != X31 )
| ( true_1 != boolNot(X31) ) ) )
& ! [X32: $int,X33: $int] :
( ( ( true_1 = anyEqual(X32,X33) )
| ( X32 != X33 ) )
& ( ( X32 = X33 )
| ( true_1 != anyEqual(X32,X33) ) ) )
& ! [X34: $int,X35: $int] :
( ( ( true_1 = anyNeq(X34,X35) )
| ( X34 = X35 ) )
& ( ( X34 != X35 )
| ( true_1 != anyNeq(X34,X35) ) ) )
& ! [X36: $int,X37: $int] :
( ( ( true_1 = intLess(X36,X37) )
| ~ $less(X36,X37) )
& ( $less(X36,X37)
| ( true_1 != intLess(X36,X37) ) ) )
& ! [X38: $int,X39: $int] :
( ( ( true_1 = intAtMost(X38,X39) )
| $less(X39,X38) )
& ( ~ $less(X39,X38)
| ( true_1 != intAtMost(X38,X39) ) ) )
& ! [X40: $int,X41: $int] :
( ( ( true_1 = intAtLeast(X40,X41) )
| $less(X40,X41) )
& ( ~ $less(X40,X41)
| ( true_1 != intAtLeast(X40,X41) ) ) )
& ! [X42: $int,X43: $int] :
( ( ( true_1 = intGreater(X42,X43) )
| ~ $less(X43,X42) )
& ( $less(X43,X42)
| ( true_1 != intGreater(X42,X43) ) ) )
& ( true_1 != false_1 )
& ! [X44: $int] : ( true_1 = x(X44,X44) )
& ! [X45: $int,X46: $int,X47: $int] :
( ( true_1 = x(X45,X47) )
| ( true_1 != x(X45,X46) )
| ( true_1 != x(X46,X47) ) )
& ! [X48: $int,X49: $int] :
( ( X48 = X49 )
| ( true_1 != x(X48,X49) )
| ( true_1 != x(X49,X48) ) ) ),
inference(flattening,[],[f46]) ).
tff(f73,plain,
( ( ( ( 0 != 'IntStack_get_Top'('Heap',this) )
| ( true_1 != result_0 ) )
& ( ( 'IntStack_get_Top'('Heap',this) = 0 )
| ( result_0 = true_1 ) )
& ( result_0 = false_1 )
& ( 'IntStack_get_Top'('Heap',this) != 0 ) )
| ~ sP7 ),
inference(nnf_transformation,[],[f44]) ).
tff(f74,plain,
( ( ( ( 0 != 'IntStack_get_Top'('Heap',this) )
| ( true_1 != result_0 ) )
& ( ( 'IntStack_get_Top'('Heap',this) = 0 )
| ( result_0 = true_1 ) )
& ( result_0 = false_1 )
& ( 'IntStack_get_Top'('Heap',this) != 0 ) )
| ~ sP7 ),
inference(flattening,[],[f73]) ).
tff(f75,plain,
( ( ( ( ( 0 != 'IntStack_get_Top'('Heap',this) )
| ( true_1 != result_0 ) )
& ( ( 'IntStack_get_Top'('Heap',this) = 0 )
| ( result_0 = true_1 ) )
& ( result_0 = true_1 )
& ( 'IntStack_get_Top'('Heap',this) = 0 ) )
| sP7 )
& ! [X0: $int] :
? [X1: $int] :
( ( X1 = typeof(X0) )
& ( ( ( select2('Heap',X0,inv) = X1 )
& ( select2('Heap',X0,localinv) = X1 ) )
| ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) ) )
& ( 'AsPureObject'(this) = this )
& ( 'BeingConstructed' = nullObject )
& ( true_1 = 'IsNotNull'(this,'IntStack') )
& ( true_1 = select2('Heap',this,allocated) )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(nnf_transformation,[],[f45]) ).
tff(f76,plain,
( ( ( ( ( 0 != 'IntStack_get_Top'('Heap',this) )
| ( true_1 != result_0 ) )
& ( ( 'IntStack_get_Top'('Heap',this) = 0 )
| ( result_0 = true_1 ) )
& ( result_0 = true_1 )
& ( 'IntStack_get_Top'('Heap',this) = 0 ) )
| sP7 )
& ! [X0: $int] :
? [X1: $int] :
( ( X1 = typeof(X0) )
& ( ( ( select2('Heap',X0,inv) = X1 )
& ( select2('Heap',X0,localinv) = X1 ) )
| ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) ) )
& ( 'AsPureObject'(this) = this )
& ( 'BeingConstructed' = nullObject )
& ( true_1 = 'IsNotNull'(this,'IntStack') )
& ( true_1 = select2('Heap',this,allocated) )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(flattening,[],[f75]) ).
tff(f77,plain,
( ( ( ( ( 0 != 'IntStack_get_Top'('Heap',this) )
| ( true_1 != result_0 ) )
& ( ( 'IntStack_get_Top'('Heap',this) = 0 )
| ( result_0 = true_1 ) )
& ( result_0 = true_1 )
& ( 'IntStack_get_Top'('Heap',this) = 0 ) )
| sP7 )
& ! [X0: $int] :
( ( typeof(X0) = sK97(X0) )
& ( ( ( select2('Heap',X0,inv) = sK97(X0) )
& ( select2('Heap',X0,localinv) = sK97(X0) ) )
| ( X0 = nullObject )
| ( select2('Heap',X0,allocated) != true_1 )
| ( select2('Heap',X0,ownerRef) != select2('Heap',this,ownerRef) )
| ( select2('Heap',X0,ownerFrame) != select2('Heap',this,ownerFrame) ) ) )
& ( 'AsPureObject'(this) = this )
& ( 'BeingConstructed' = nullObject )
& ( true_1 = 'IsNotNull'(this,'IntStack') )
& ( true_1 = select2('Heap',this,allocated) )
& ( 'IsHeap'('Heap') = true_1 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK97]),skolemize(X1,sK97(X0))],[f76]) ).
tff(f81,plain,
true_1 != false_1,
inference(cnf_transformation,[],[f47]) ).
tff(f2566,plain,
( ( 0 != 'IntStack_get_Top'('Heap',this) )
| ~ sP7 ),
inference(cnf_transformation,[],[f74]) ).
tff(f2567,plain,
( ( false_1 = result_0 )
| ~ sP7 ),
inference(cnf_transformation,[],[f74]) ).
tff(f2568,plain,
( ( 0 = 'IntStack_get_Top'('Heap',this) )
| ( true_1 = result_0 )
| ~ sP7 ),
inference(cnf_transformation,[],[f74]) ).
tff(f2578,plain,
( ( 0 = 'IntStack_get_Top'('Heap',this) )
| sP7 ),
inference(cnf_transformation,[],[f77]) ).
tff(f2579,plain,
( ( true_1 = result_0 )
| sP7 ),
inference(cnf_transformation,[],[f77]) ).
tff(f2581,plain,
( ( 0 != 'IntStack_get_Top'('Heap',this) )
| ( true_1 != result_0 )
| sP7 ),
inference(cnf_transformation,[],[f77]) ).
tff(f3173,plain,
false_1 = result_0,
inference(global_subsumption,[],[f2567,f2581,f2579,f2578]) ).
tff(f3174,plain,
true_1 = result_0,
inference(global_subsumption,[],[f2568,f2566,f2579]) ).
tff(f3177,plain,
true_1 != result_0,
inference(superposition,[],[f81,f3173]) ).
tff(f3178,plain,
$false,
inference(global_subsumption,[],[f3177,f3174]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWW803_1 : TPTP v9.3.1. Released v7.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.63 % Computer : n016.cluster.edu
% 0.15/5.63 % Model : x86_64 x86_64
% 0.15/5.63 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/5.63 % Memory : 8046.5625MB
% 0.15/5.63 % OS : Linux 6.8.0-71-generic
% 0.15/5.63 % CPULimit : 300
% 0.15/5.63 % WCLimit : 300
% 0.15/5.63 % DateTime : Mon Sep 28 14:35:24 UTC 2026
% 0.15/5.63 % CPUTime :
% 0.15/5.63 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.15/5.66 Running first-order model finding
% 0.15/5.66 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
% 0.22/5.80 % (3670021)Will run a generic schedule for satisfiability detection.
% 0.22/5.80 % (3670032)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2337578454:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.22/5.80 % (3670027)% WARNING: option uhcvi not known.
% 0.22/5.80 % (3670026)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1212568288_2999 on theBenchmark for (2999ds/0Mi)
% 0.22/5.80 % (3670027)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3543942178:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.22/5.80 % (3670028)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2235546152:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.22/5.80 % (3670029)dis+10_1_sil=32000:sp=arity:random_seed=1921804165:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.22/5.80 % (3670030)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3506638955:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.22/5.80 % (3670031)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=363811380:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/5.80 % (3670026)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.22/5.80 % (3670026)Terminated due to inappropriate strategy.
% 0.22/5.80 % (3670026)------------------------------
% 0.22/5.80 % (3670026)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/5.80 % (3670026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/5.80 % (3670026)CaDiCaL version: 2.1.3
% 0.22/5.80 % (3670026)Termination reason: Inappropriate
% 0.22/5.80 % (3670026)Time elapsed: 0.030 s
% 0.22/5.80 % (3670026)Peak memory usage: 12 MB
% 0.22/5.80 % (3670026)Instructions burned: 66 (million)
% 0.22/5.80 % (3670026)------------------------------
% 0.22/5.80 % (3670026)------------------------------
% 0.22/5.80 % (3670032)Instruction limit reached!
% 0.22/5.80 % (3670032)------------------------------
% 0.22/5.80 % (3670032)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/5.80 % (3670032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/5.80 % (3670032)CaDiCaL version: 2.1.3
% 0.22/5.80 % (3670032)Termination reason: Instruction limit
% 0.22/5.80 % (3670032)Termination phase: Saturation
% 0.22/5.80 % (3670032)Time elapsed: 0.043 s
% 0.22/5.80 % (3670032)Peak memory usage: 15 MB
% 0.22/5.80 % (3670032)Instructions burned: 161 (million)
% 0.22/5.80 % (3670041)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1462753105:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.22/5.80 % (3670029)Instruction limit reached!
% 0.22/5.80 % (3670029)------------------------------
% 0.22/5.80 % (3670029)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/5.80 % (3670029)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/5.80 % (3670029)CaDiCaL version: 2.1.3
% 0.22/5.80 % (3670029)Termination reason: Instruction limit
% 0.22/5.80 % (3670029)Termination phase: Saturation
% 0.22/5.80 % (3670029)Time elapsed: 0.048 s
% 0.22/5.80 % (3670029)Peak memory usage: 14 MB
% 0.22/5.80 % (3670029)Instructions burned: 105 (million)
% 0.22/5.80 % (3670040)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2046441799:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.22/5.80 % (3670030)Instruction limit reached!
% 0.22/5.80 % (3670030)------------------------------
% 0.22/5.80 % (3670030)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/5.80 % (3670030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/5.80 % (3670030)CaDiCaL version: 2.1.3
% 0.22/5.80 % (3670030)Termination reason: Instruction limit
% 0.22/5.80 % (3670030)Termination phase: Saturation
% 0.22/5.80 % (3670030)Time elapsed: 0.053 s
% 0.22/5.80 % (3670030)Peak memory usage: 14 MB
% 0.22/5.80 % (3670030)Instructions burned: 116 (million)
% 0.22/5.80 % (3670028) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3670021-3670028"...
% 0.22/5.80 % (3670031)Instruction limit reached!
% 0.22/5.80 % (3670031)------------------------------
% 0.22/5.80 % (3670031)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/5.80 % (3670031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/5.80 % (3670031)CaDiCaL version: 2.1.3
% 0.22/5.80 % (3670031)Termination reason: Instruction limit
% 0.22/5.80 % (3670031)Termination phase: Saturation
% 0.22/5.80 % (3670031)Time elapsed: 0.061 s
% 0.22/5.80 % (3670031)Peak memory usage: 14 MB
% 0.22/5.80 % (3670031)Instructions burned: 131 (million)
% 0.22/5.80 % (3670028)...printing done.
% 0.22/5.80 % (3670028)Refutation found. Thanks to Tanya!
% 0.22/5.80 % SZS status Unsatisfiable for theBenchmark
% 0.22/5.80 % SZS output start Proof for theBenchmark
% See solution above
% 0.22/5.81 % (3670028)------------------------------
% 0.22/5.81 % (3670028)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/5.81 % (3670028)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/5.81 % (3670028)CaDiCaL version: 2.1.3
% 0.22/5.81 % (3670028)Termination reason: Refutation
% 0.22/5.81 % (3670028)Time elapsed: 0.065 s
% 0.22/5.81 % (3670028)Peak memory usage: 15 MB
% 0.22/5.81 % (3670028)Instructions burned: 136 (million)
% 0.22/5.81 % (3670021)Success in time 0.133 s
% 0.22/5.81 % Vampire exiting
%------------------------------------------------------------------------------