TSTP Solution File: SWW797_1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWW797_1 : TPTP v8.1.2. Released v7.0.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 17:47:47 EDT 2024
% Result : Unsatisfiable 0.21s 0.51s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 351
% Syntax : Number of formulae : 409 ( 11 unt; 344 typ; 0 def)
% Number of atoms : 564 ( 336 equ)
% Maximal formula atoms : 49 ( 8 avg)
% Number of connectives : 820 ( 321 ~; 181 |; 182 &)
% ( 0 <=>; 136 =>; 0 <=; 0 <~>)
% Maximal formula depth : 29 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of FOOLs : 3 ( 3 fml; 0 var)
% Number arithmetic : 458 ( 148 atm; 0 fun; 260 num; 50 var)
% Number of types : 2 ( 0 usr; 1 ari)
% Number of type conns : 590 ( 249 >; 341 *; 0 +; 0 <<)
% Number of predicates : 57 ( 52 usr; 2 prp; 0-5 aty)
% Number of functors : 294 ( 292 usr; 97 con; 0-5 aty)
% Number of variables : 50 ( 30 !; 20 ?; 50 :)
% Comments :
%------------------------------------------------------------------------------
tff(func_def_0,type,
ownerRef: $int ).
tff(func_def_1,type,
localinv: $int ).
tff(func_def_2,type,
'IntQueue_IsFull': ( $int * $int ) > $int ).
tff(func_def_3,type,
'IntQueue_elements': $int ).
tff(func_def_4,type,
'System_Collections_IEnumerable': $int ).
tff(func_def_5,type,
'StringEquals': ( $int * $int ) > $int ).
tff(func_def_6,type,
intLess: ( $int * $int ) > $int ).
tff(func_def_7,type,
'System_Array': $int ).
tff(func_def_8,type,
'IntQueue_IsEmpty_1': $int > $int ).
tff(func_def_9,type,
'TypeObject': $int > $int ).
tff(func_def_10,type,
'System_Int16': $int ).
tff(func_def_11,type,
'IntQueue_IsFull_1': $int > $int ).
tff(func_def_12,type,
anyEqual: ( $int * $int ) > $int ).
tff(func_def_13,type,
'AsPeerField': $int > $int ).
tff(func_def_14,type,
'ArrayCategoryInt': $int ).
tff(func_def_15,type,
'StructGet': ( $int * $int ) > $int ).
tff(func_def_16,type,
false_1: $int ).
tff(func_def_17,type,
sharingMode: $int ).
tff(func_def_18,type,
'InRange': ( $int * $int ) > $int ).
tff(func_def_19,type,
'ArrayIndexInvY': $int > $int ).
tff(func_def_20,type,
'IntArray': ( $int * $int ) > $int ).
tff(func_def_21,type,
'AsOwner': ( $int * $int ) > $int ).
tff(func_def_22,type,
'ValueArraySet': ( $int * $int * $int ) > $int ).
tff(func_def_23,type,
'System_IConvertible': $int ).
tff(func_def_24,type,
'System_Int64': $int ).
tff(func_def_25,type,
'System_Int32': $int ).
tff(func_def_26,type,
'Heap': $int ).
tff(func_def_27,type,
'DeclType': $int > $int ).
tff(func_def_28,type,
'LBound': ( $int * $int ) > $int ).
tff(func_def_29,type,
'AsPureObject': $int > $int ).
tff(func_def_30,type,
boolNot: $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,
store1: ( $int * $int * $int ) > $int ).
tff(func_def_34,type,
'System_Object': $int ).
tff(func_def_35,type,
'IntQueue_get_Capacity_1': $int > $int ).
tff(func_def_36,type,
'IntQueue_get_Tail_1': $int > $int ).
tff(func_def_37,type,
'Unbox': $int > $int ).
tff(func_def_38,type,
result_2: $int ).
tff(func_def_39,type,
typeof: $int > $int ).
tff(func_def_40,type,
'System_Console_get_Out': $int > $int ).
tff(func_def_41,type,
'System_MarshalByRefObject': $int ).
tff(func_def_42,type,
'ArrayCategoryNonNullRef': $int ).
tff(func_def_43,type,
'IfThenElse': ( $int * $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,
'IntQueue_tail': $int ).
tff(func_def_51,type,
'IsStaticField': $int > $int ).
tff(func_def_52,type,
'System_String_IsInterned_System_String_notnull': ( $int * $int ) > $int ).
tff(func_def_53,type,
'System_UInt64': $int ).
tff(func_def_54,type,
boolImplies: ( $int * $int ) > $int ).
tff(func_def_55,type,
'IntQueue_IsEmpty': ( $int * $int ) > $int ).
tff(func_def_56,type,
or_1: ( $int * $int ) > $int ).
tff(func_def_57,type,
'System_Runtime_Serialization_ISerializable': $int ).
tff(func_def_58,type,
shl: ( $int * $int ) > $int ).
tff(func_def_59,type,
boolAnd: ( $int * $int ) > $int ).
tff(func_def_60,type,
'System_Boolean': $int ).
tff(func_def_61,type,
'As': ( $int * $int ) > $int ).
tff(func_def_62,type,
'ArrayCategoryRef': $int ).
tff(func_def_63,type,
'AsNonNullRefField': ( $int * $int ) > $int ).
tff(func_def_64,type,
x_2: ( $int * $int ) > $int ).
tff(func_def_65,type,
allocated: $int ).
tff(func_def_66,type,
'System_IO_TextReader': $int ).
tff(func_def_67,type,
'AsRangeField': ( $int * $int ) > $int ).
tff(func_def_68,type,
and_1: ( $int * $int ) > $int ).
tff(func_def_69,type,
'System_Runtime_InteropServices__Type': $int ).
tff(func_def_70,type,
'SharingMode_LockProtected': $int ).
tff(func_def_71,type,
'IntArrayGet': ( $int * $int ) > $int ).
tff(func_def_72,type,
'Is': ( $int * $int ) > $int ).
tff(func_def_73,type,
'IsAllocated': ( $int * $int ) > $int ).
tff(func_def_74,type,
int_m9223372036854775808: $int ).
tff(func_def_75,type,
'ElementProxyStruct': ( $int * $int ) > $int ).
tff(func_def_76,type,
'ArrayIndex': ( $int * $int * $int * $int ) > $int ).
tff(func_def_77,type,
select1: ( $int * $int ) > $int ).
tff(func_def_78,type,
min: ( $int * $int ) > $int ).
tff(func_def_79,type,
'System_Runtime_InteropServices__Exception': $int ).
tff(func_def_80,type,
'AsRefField': ( $int * $int ) > $int ).
tff(func_def_81,type,
'System_IntPtr': $int ).
tff(func_def_82,type,
'Length': $int > $int ).
tff(func_def_83,type,
'System_Reflection_ICustomAttributeProvider': $int ).
tff(func_def_84,type,
'AsElementsPeerField': ( $int * $int ) > $int ).
tff(func_def_85,type,
'ValueArrayGet': ( $int * $int ) > $int ).
tff(func_def_86,type,
store2: ( $int * $int * $int * $int ) > $int ).
tff(func_def_87,type,
'FieldDependsOnFCO': ( $int * $int * $int ) > $int ).
tff(func_def_88,type,
'System_Exception': $int ).
tff(func_def_89,type,
'Rank': $int > $int ).
tff(func_def_90,type,
'System_IComparable': $int ).
tff(func_def_91,type,
'ValueArray': ( $int * $int ) > $int ).
tff(func_def_92,type,
'System_IO_TextWriter': $int ).
tff(func_def_93,type,
'IntArraySet': ( $int * $int * $int ) > $int ).
tff(func_def_94,type,
'AsRepField': ( $int * $int ) > $int ).
tff(func_def_95,type,
'System_Console_get_Out_1': $int ).
tff(func_def_96,type,
'System_Collections_ICollection': $int ).
tff(func_def_97,type,
intGreater: ( $int * $int ) > $int ).
tff(func_def_98,type,
'ElementProxy': ( $int * $int ) > $int ).
tff(func_def_99,type,
'BoxTester': ( $int * $int ) > $int ).
tff(func_def_100,type,
'SharingMode_Unshared': $int ).
tff(func_def_101,type,
'System_UInt16': $int ).
tff(func_def_102,type,
'Microsoft_Contracts_GuardException': $int ).
tff(func_def_103,type,
'ClassReprInv': $int > $int ).
tff(func_def_104,type,
int_4294967295: $int ).
tff(func_def_105,type,
'ClassRepr': $int > $int ).
tff(func_def_106,type,
'NonNullFieldsAreInitialized': $int ).
tff(func_def_107,type,
'AsInterface': $int > $int ).
tff(func_def_108,type,
'Microsoft_Contracts_ICheckedException': $int ).
tff(func_def_109,type,
stringLiteral0: $int ).
tff(func_def_110,type,
'IntQueue_head': $int ).
tff(func_def_111,type,
'IntQueue_get_Head': ( $int * $int ) > $int ).
tff(func_def_112,type,
boolOr: ( $int * $int ) > $int ).
tff(func_def_113,type,
'PeerGroupPlaceholder': $int ).
tff(func_def_114,type,
'IsNotNull': ( $int * $int ) > $int ).
tff(func_def_115,type,
'ArrayCategoryValue': $int ).
tff(func_def_116,type,
'ElementType': $int > $int ).
tff(func_def_117,type,
'System_SByte': $int ).
tff(func_def_118,type,
'BeingConstructed': $int ).
tff(func_def_119,type,
true_1: $int ).
tff(func_def_120,type,
int_2147483647: $int ).
tff(func_def_121,type,
result: $int ).
tff(func_def_122,type,
result_1: $int ).
tff(func_def_123,type,
'System_IComparable_1___System_String': $int ).
tff(func_def_124,type,
'System_String_Equals_System_String': ( $int * $int * $int ) > $int ).
tff(func_def_125,type,
'OneClassDown': ( $int * $int ) > $int ).
tff(func_def_126,type,
'Microsoft_Contracts_ObjectInvariantException': $int ).
tff(func_def_127,type,
'StringLength': $int > $int ).
tff(func_def_128,type,
'AsImmutable': $int > $int ).
tff(func_def_129,type,
'System_Collections_Generic_IEnumerable_1___System_Char': $int ).
tff(func_def_130,type,
'IntToInt': ( $int * $int * $int ) > $int ).
tff(func_def_131,type,
'PurityAxiomsCanBeAssumed': $int ).
tff(func_def_132,type,
'System_Char': $int ).
tff(func_def_133,type,
result_0: $int ).
tff(func_def_134,type,
boolIff: ( $int * $int ) > $int ).
tff(func_def_135,type,
intAtMost: ( $int * $int ) > $int ).
tff(func_def_136,type,
elements: $int ).
tff(func_def_137,type,
'IsValueType': $int > $int ).
tff(func_def_138,type,
'System_Collections_IList': $int ).
tff(func_def_139,type,
'System_UIntPtr': $int ).
tff(func_def_140,type,
'System_UInt32': $int ).
tff(func_def_141,type,
'IsImmutable': $int > $int ).
tff(func_def_142,type,
'AsElementsRepField': ( $int * $int * $int ) > $int ).
tff(func_def_143,type,
inv: $int ).
tff(func_def_144,type,
'IntQueue': $int ).
tff(func_def_145,type,
'IntQueue_get_Tail': ( $int * $int ) > $int ).
tff(func_def_146,type,
'FirstConsistentOwner': $int ).
tff(func_def_147,type,
'NonNullRefArrayRaw': ( $int * $int * $int ) > $int ).
tff(func_def_148,type,
'BoxFunc': ( $int * $int * $int * $int ) > $int ).
tff(func_def_149,type,
'AsMutable': $int > $int ).
tff(func_def_150,type,
x: ( $int * $int ) > $int ).
tff(func_def_151,type,
'System_Byte': $int ).
tff(func_def_152,type,
'UnboxedType': $int > $int ).
tff(func_def_153,type,
'System_Console_get_In_1': $int ).
tff(func_def_154,type,
'IncludedInModifiesStar': $int > $int ).
tff(func_def_155,type,
'System_Console_get_In': $int > $int ).
tff(func_def_156,type,
'StructSet': ( $int * $int * $int ) > $int ).
tff(func_def_157,type,
'System_Type': $int ).
tff(func_def_158,type,
ownerFrame: $int ).
tff(func_def_159,type,
'System_IEquatable_1___System_String': $int ).
tff(func_def_160,type,
'IntQueue_get_Head_1': $int > $int ).
tff(func_def_161,type,
max: ( $int * $int ) > $int ).
tff(func_def_162,type,
shr: ( $int * $int ) > $int ).
tff(func_def_163,type,
'DimLength': ( $int * $int ) > $int ).
tff(func_def_164,type,
'RefArrayGet': ( $int * $int ) > $int ).
tff(func_def_165,type,
x_1: ( $int * $int ) > $int ).
tff(func_def_166,type,
'UBound': ( $int * $int ) > $int ).
tff(func_def_167,type,
exposeVersion: $int ).
tff(func_def_168,type,
'System_ICloneable': $int ).
tff(func_def_169,type,
'System_Reflection_IReflect': $int ).
tff(func_def_170,type,
int_9223372036854775807: $int ).
tff(func_def_171,type,
'IntQueue_get_Capacity': ( $int * $int ) > $int ).
tff(func_def_172,type,
'Box': ( $int * $int ) > $int ).
tff(func_def_173,type,
'ArrayIndexInvX': $int > $int ).
tff(func_def_174,type,
anyNeq: ( $int * $int ) > $int ).
tff(func_def_175,type,
int_18446744073709551615: $int ).
tff(func_def_176,type,
'IncludeInMainFrameCondition': $int > $int ).
tff(func_def_177,type,
nullObject: $int ).
tff(func_def_178,type,
'IsHeap': $int > $int ).
tff(func_def_179,type,
select2: ( $int * $int * $int ) > $int ).
tff(func_def_180,type,
'ArrayCategory': $int > $int ).
tff(func_def_181,type,
this: $int ).
tff(func_def_182,type,
'System_Runtime_InteropServices__MemberInfo': $int ).
tff(func_def_183,type,
'RefArray': ( $int * $int ) > $int ).
tff(func_def_184,type,
'IsMemberlessType': $int > $int ).
tff(func_def_185,type,
'BaseClass': $int > $int ).
tff(func_def_186,type,
'Program': $int ).
tff(func_def_187,type,
'NonNullRefArray': ( $int * $int ) > $int ).
tff(func_def_188,type,
'System_String': $int ).
tff(func_def_203,type,
sK52: $int ).
tff(func_def_204,type,
sK53: $int > $int ).
tff(func_def_205,type,
sK54: ( $int * $int ) > $int ).
tff(func_def_206,type,
sK55: ( $int * $int ) > $int ).
tff(func_def_207,type,
sK56: ( $int * $int * $int * $int ) > $int ).
tff(func_def_208,type,
sK57: ( $int * $int * $int * $int ) > $int ).
tff(func_def_209,type,
sK58: ( $int * $int ) > $int ).
tff(func_def_210,type,
sK59: ( $int * $int ) > $int ).
tff(func_def_211,type,
sK60: ( $int * $int * $int * $int ) > $int ).
tff(func_def_212,type,
sK61: ( $int * $int * $int * $int ) > $int ).
tff(func_def_213,type,
sK62: ( $int * $int ) > $int ).
tff(func_def_214,type,
sK63: ( $int * $int ) > $int ).
tff(func_def_215,type,
sK64: ( $int * $int ) > $int ).
tff(func_def_216,type,
sK65: ( $int * $int ) > $int ).
tff(func_def_217,type,
sK66: ( $int * $int ) > $int ).
tff(func_def_218,type,
sK67: ( $int * $int ) > $int ).
tff(func_def_219,type,
sK68: ( $int * $int ) > $int ).
tff(func_def_220,type,
sK69: ( $int * $int ) > $int ).
tff(func_def_221,type,
sK70: ( $int * $int ) > $int ).
tff(func_def_222,type,
sK71: ( $int * $int ) > $int ).
tff(func_def_223,type,
sK72: ( $int * $int ) > $int ).
tff(func_def_224,type,
sK73: ( $int * $int ) > $int ).
tff(func_def_225,type,
sK74: ( $int * $int ) > $int ).
tff(func_def_226,type,
sK75: ( $int * $int ) > $int ).
tff(func_def_227,type,
sK76: ( $int * $int ) > $int ).
tff(func_def_228,type,
sK77: ( $int * $int ) > $int ).
tff(func_def_229,type,
sK78: ( $int * $int ) > $int ).
tff(func_def_230,type,
sK79: ( $int * $int ) > $int ).
tff(func_def_231,type,
sK80: ( $int * $int ) > $int ).
tff(func_def_232,type,
sK81: ( $int * $int ) > $int ).
tff(func_def_233,type,
sK82: ( $int * $int ) > $int ).
tff(func_def_234,type,
sK83: $int ).
tff(func_def_235,type,
sK84: $int ).
tff(func_def_236,type,
sK85: $int ).
tff(func_def_237,type,
sK86: $int ).
tff(func_def_238,type,
sK87: $int ).
tff(func_def_239,type,
sK88: $int ).
tff(func_def_240,type,
sK89: $int ).
tff(func_def_241,type,
sK90: $int ).
tff(func_def_242,type,
sK91: $int ).
tff(func_def_243,type,
sK92: $int ).
tff(func_def_244,type,
sK93: $int ).
tff(func_def_245,type,
sK94: $int ).
tff(func_def_246,type,
sK95: $int > $int ).
tff(func_def_247,type,
sK96: $int > $int ).
tff(func_def_248,type,
sK97: ( $int * $int ) > $int ).
tff(func_def_249,type,
sK98: ( $int * $int ) > $int ).
tff(func_def_250,type,
sK99: ( $int * $int ) > $int ).
tff(func_def_251,type,
sK100: ( $int * $int ) > $int ).
tff(func_def_252,type,
sK101: ( $int * $int ) > $int ).
tff(func_def_253,type,
sK102: ( $int * $int ) > $int ).
tff(func_def_254,type,
sK103: ( $int * $int ) > $int ).
tff(func_def_255,type,
sK104: ( $int * $int ) > $int ).
tff(func_def_256,type,
sK105: ( $int * $int ) > $int ).
tff(func_def_257,type,
sK106: ( $int * $int ) > $int ).
tff(func_def_258,type,
sK107: ( $int * $int ) > $int ).
tff(func_def_259,type,
sK108: ( $int * $int ) > $int ).
tff(func_def_260,type,
sK109: ( $int * $int ) > $int ).
tff(func_def_261,type,
sK110: ( $int * $int ) > $int ).
tff(func_def_262,type,
sK111: ( $int * $int ) > $int ).
tff(func_def_263,type,
sK112: ( $int * $int ) > $int ).
tff(func_def_264,type,
sK113: ( $int * $int ) > $int ).
tff(func_def_265,type,
sK114: ( $int * $int ) > $int ).
tff(func_def_266,type,
sK115: ( $int * $int * $int ) > $int ).
tff(func_def_267,type,
sK116: ( $int * $int * $int * $int ) > $int ).
tff(func_def_268,type,
sK117: ( $int * $int ) > $int ).
tff(func_def_269,type,
sK118: ( $int * $int ) > $int ).
tff(func_def_270,type,
sK119: ( $int * $int ) > $int ).
tff(func_def_271,type,
sK120: ( $int * $int ) > $int ).
tff(func_def_272,type,
sK121: ( $int * $int ) > $int ).
tff(func_def_273,type,
sK122: ( $int * $int * $int ) > $int ).
tff(func_def_274,type,
sK123: ( $int * $int * $int ) > $int ).
tff(func_def_275,type,
sK124: ( $int * $int ) > $int ).
tff(func_def_276,type,
sK125: ( $int * $int ) > $int ).
tff(func_def_277,type,
sK126: ( $int * $int ) > $int ).
tff(func_def_278,type,
sK127: ( $int * $int * $int * $int ) > $int ).
tff(func_def_279,type,
sK128: ( $int * $int * $int * $int ) > $int ).
tff(func_def_280,type,
sK129: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_281,type,
sK130: ( $int * $int * $int * $int * $int ) > $int ).
tff(func_def_282,type,
sK131: ( $int * $int * $int ) > $int ).
tff(func_def_283,type,
sK132: ( $int * $int * $int * $int ) > $int ).
tff(func_def_284,type,
sK133: ( $int * $int ) > $int ).
tff(func_def_285,type,
sK134: ( $int * $int * $int ) > $int ).
tff(func_def_286,type,
sK135: ( $int * $int * $int ) > $int ).
tff(func_def_287,type,
sK136: ( $int * $int ) > $int ).
tff(func_def_288,type,
sK137: $int > $int ).
tff(func_def_289,type,
sK138: ( $int * $int * $int ) > $int ).
tff(func_def_290,type,
sK139: ( $int * $int * $int ) > $int ).
tff(func_def_291,type,
sK140: ( $int * $int * $int ) > $int ).
tff(func_def_292,type,
sK141: ( $int * $int * $int ) > $int ).
tff(func_def_293,type,
sK142: ( $int * $int * $int ) > $int ).
tff(func_def_294,type,
sK143: ( $int * $int * $int ) > $int ).
tff(func_def_295,type,
sK144: ( $int * $int * $int ) > $int ).
tff(func_def_296,type,
sK145: ( $int * $int * $int ) > $int ).
tff(func_def_297,type,
sK146: ( $int * $int * $int ) > $int ).
tff(func_def_298,type,
sK147: ( $int * $int * $int ) > $int ).
tff(func_def_299,type,
sK148: ( $int * $int * $int ) > $int ).
tff(func_def_300,type,
sK149: ( $int * $int ) > $int ).
tff(func_def_301,type,
sK150: ( $int * $int ) > $int ).
tff(func_def_302,type,
sK151: ( $int * $int ) > $int ).
tff(func_def_303,type,
sK152: ( $int * $int ) > $int ).
tff(func_def_304,type,
sK153: $int > $int ).
tff(func_def_305,type,
sK154: ( $int * $int * $int ) > $int ).
tff(pred_def_5,type,
sP0: ( $int * $int ) > $o ).
tff(pred_def_6,type,
sP1: $int > $o ).
tff(pred_def_7,type,
sP2: $int > $o ).
tff(pred_def_8,type,
sP3: $int > $o ).
tff(pred_def_9,type,
sP4: $int > $o ).
tff(pred_def_10,type,
sP5: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_11,type,
sP6: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_12,type,
sP7: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_13,type,
sP8: ( $int * $int * $int ) > $o ).
tff(pred_def_14,type,
sP9: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_15,type,
sP10: ( $int * $int * $int ) > $o ).
tff(pred_def_16,type,
sP11: ( $int * $int ) > $o ).
tff(pred_def_17,type,
sP12: ( $int * $int * $int ) > $o ).
tff(pred_def_18,type,
sP13: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_19,type,
sP14: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_20,type,
sP15: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_21,type,
sP16: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_23,type,
sP18: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_24,type,
sP19: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_25,type,
sP20: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_26,type,
sP21: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_28,type,
sP23: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_29,type,
sP24: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_30,type,
sP25: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_31,type,
sP26: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_33,type,
sP28: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_34,type,
sP29: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_35,type,
sP30: ( $int * $int ) > $o ).
tff(pred_def_36,type,
sP31: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_37,type,
sP32: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_39,type,
sP34: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_40,type,
sP35: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_41,type,
sP36: ( $int * $int ) > $o ).
tff(pred_def_42,type,
sP37: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_43,type,
sP38: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_45,type,
sP40: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_46,type,
sP41: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_47,type,
sP42: ( $int * $int * $int ) > $o ).
tff(pred_def_48,type,
sP43: ( $int * $int * $int ) > $o ).
tff(pred_def_49,type,
sP44: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_50,type,
sP45: ( $int * $int ) > $o ).
tff(pred_def_51,type,
sP46: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_52,type,
sP47: ( $int * $int * $int * $int * $int ) > $o ).
tff(pred_def_53,type,
sP48: ( $int * $int * $int ) > $o ).
tff(pred_def_54,type,
sP49: ( $int * $int * $int ) > $o ).
tff(pred_def_55,type,
sP50: ( $int * $int * $int * $int ) > $o ).
tff(pred_def_56,type,
sP51: ( $int * $int ) > $o ).
tff(pred_def_57,type,
sP155: ( $int * $int ) > $o ).
tff(pred_def_58,type,
sP156: $int > $o ).
tff(pred_def_59,type,
sP157: $int > $o ).
tff(pred_def_60,type,
sP158: ( $int * $int ) > $o ).
tff(pred_def_61,type,
sP159: $int > $o ).
tff(f3484,plain,
$false,
inference(subsumption_resolution,[],[f3483,f2970]) ).
tff(f2970,plain,
~ sP3(result_2),
inference(equality_resolution,[],[f333]) ).
tff(f333,plain,
! [X0: $int] :
( ( result_2 != X0 )
| ~ sP3(X0) ),
inference(cnf_transformation,[],[f98]) ).
tff(f98,plain,
! [X0: $int] :
( ( ( result_2 != X0 )
& ( result_1 = result_2 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( result_1 = X0 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( 0 = result_1 ) )
| ~ sP3(X0) ),
inference(nnf_transformation,[],[f42]) ).
tff(f42,plain,
! [X0: $int] :
( ( ( result_2 != X0 )
& ( result_1 = result_2 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( result_1 = X0 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( 0 = result_1 ) )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
tff(f3483,plain,
sP3(result_2),
inference(forward_demodulation,[],[f3482,f3463]) ).
tff(f3463,plain,
result_2 = sK52,
inference(forward_demodulation,[],[f3462,f3394]) ).
tff(f3394,plain,
result_1 = result_2,
inference(subsumption_resolution,[],[f3393,f2971]) ).
tff(f2971,plain,
~ sP2(result_2),
inference(equality_resolution,[],[f339]) ).
tff(f339,plain,
! [X0: $int] :
( ( result_2 != X0 )
| ~ sP2(X0) ),
inference(cnf_transformation,[],[f99]) ).
tff(f99,plain,
! [X0: $int] :
( ( ( result_2 != X0 )
& ( result_2 = result_0 )
& ( result_0 = X0 )
& ( 1 != X0 )
& ~ $less(1,1)
& ~ $less(1,1) )
| ~ sP2(X0) ),
inference(nnf_transformation,[],[f41]) ).
tff(f41,plain,
! [X0: $int] :
( ( ( result_2 != X0 )
& ( result_2 = result_0 )
& ( result_0 = X0 )
& ( 1 != X0 )
& ~ $less(1,1)
& ~ $less(1,1) )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
tff(f3393,plain,
( sP2(result_2)
| ( result_1 = result_2 ) ),
inference(duplicate_literal_removal,[],[f3392]) ).
tff(f3392,plain,
( sP2(result_2)
| ( result_1 = result_2 )
| ( result_1 = result_2 ) ),
inference(superposition,[],[f3388,f3380]) ).
tff(f3380,plain,
( ( result_2 = result_0 )
| ( result_1 = result_2 ) ),
inference(resolution,[],[f3376,f338]) ).
tff(f338,plain,
! [X0: $int] :
( ~ sP2(X0)
| ( result_2 = result_0 ) ),
inference(cnf_transformation,[],[f99]) ).
tff(f3376,plain,
( sP2(sK52)
| ( result_1 = result_2 ) ),
inference(subsumption_resolution,[],[f3371,f346]) ).
tff(f346,plain,
! [X0: $int] :
( ~ sP1(X0)
| ( result_1 = result_2 ) ),
inference(cnf_transformation,[],[f100]) ).
tff(f100,plain,
! [X0: $int] :
( ( ( result_2 != X0 )
& ( result_1 = result_2 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( result_1 = X0 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( 1 = result_1 ) )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f40]) ).
tff(f40,plain,
! [X0: $int] :
( ( ( result_2 != X0 )
& ( result_1 = result_2 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( result_1 = X0 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( 1 = result_1 ) )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
tff(f3371,plain,
( sP2(sK52)
| sP1(sK52)
| ( result_1 = result_2 ) ),
inference(resolution,[],[f3287,f332]) ).
tff(f332,plain,
! [X0: $int] :
( ~ sP3(X0)
| ( result_1 = result_2 ) ),
inference(cnf_transformation,[],[f98]) ).
tff(f3287,plain,
( sP3(sK52)
| sP2(sK52)
| sP1(sK52) ),
inference(resolution,[],[f325,f360]) ).
tff(f360,plain,
( sP4(sK52)
| sP3(sK52) ),
inference(cnf_transformation,[],[f103]) ).
tff(f103,plain,
( ( sP4(sK52)
| sP3(sK52) )
& ~ $less(0,0)
& ~ $less(0,0)
& ! [X1: $int] :
( ( ( ( select2('Heap',X1,localinv) = sK53(X1) )
& ( select2('Heap',X1,inv) = sK53(X1) ) )
| ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
& ( typeof(X1) = sK53(X1) ) )
& ( this = 'AsPureObject'(this) )
& ( nullObject = 'BeingConstructed' )
& ( true_1 = 'InRange'(result,'System_Int32') )
& ( true_1 = select2('Heap',this,allocated) )
& ( true_1 = 'IsNotNull'(this,'IntQueue') )
& ( true_1 = 'IsHeap'('Heap') )
& ( select2('Heap',this,'IntQueue_head') = sK52 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK52,sK53])],[f44,f102,f101]) ).
tff(f101,plain,
( ? [X0: $int] :
( ( sP4(X0)
| sP3(X0) )
& ~ $less(0,0)
& ~ $less(0,0)
& ! [X1: $int] :
? [X2: $int] :
( ( ( ( select2('Heap',X1,localinv) = X2 )
& ( select2('Heap',X1,inv) = X2 ) )
| ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
& ( typeof(X1) = X2 ) )
& ( this = 'AsPureObject'(this) )
& ( nullObject = 'BeingConstructed' )
& ( true_1 = 'InRange'(result,'System_Int32') )
& ( true_1 = select2('Heap',this,allocated) )
& ( true_1 = 'IsNotNull'(this,'IntQueue') )
& ( true_1 = 'IsHeap'('Heap') )
& ( select2('Heap',this,'IntQueue_head') = X0 ) )
=> ( ( sP4(sK52)
| sP3(sK52) )
& ~ $less(0,0)
& ~ $less(0,0)
& ! [X1: $int] :
? [X2: $int] :
( ( ( ( select2('Heap',X1,localinv) = X2 )
& ( select2('Heap',X1,inv) = X2 ) )
| ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
& ( typeof(X1) = X2 ) )
& ( this = 'AsPureObject'(this) )
& ( nullObject = 'BeingConstructed' )
& ( true_1 = 'InRange'(result,'System_Int32') )
& ( true_1 = select2('Heap',this,allocated) )
& ( true_1 = 'IsNotNull'(this,'IntQueue') )
& ( true_1 = 'IsHeap'('Heap') )
& ( select2('Heap',this,'IntQueue_head') = sK52 ) ) ),
introduced(choice_axiom,[]) ).
tff(f102,plain,
! [X1: $int] :
( ? [X2: $int] :
( ( ( ( select2('Heap',X1,localinv) = X2 )
& ( select2('Heap',X1,inv) = X2 ) )
| ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
& ( typeof(X1) = X2 ) )
=> ( ( ( ( select2('Heap',X1,localinv) = sK53(X1) )
& ( select2('Heap',X1,inv) = sK53(X1) ) )
| ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
& ( typeof(X1) = sK53(X1) ) ) ),
introduced(choice_axiom,[]) ).
tff(f44,plain,
? [X0: $int] :
( ( sP4(X0)
| sP3(X0) )
& ~ $less(0,0)
& ~ $less(0,0)
& ! [X1: $int] :
? [X2: $int] :
( ( ( ( select2('Heap',X1,localinv) = X2 )
& ( select2('Heap',X1,inv) = X2 ) )
| ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
& ( typeof(X1) = X2 ) )
& ( this = 'AsPureObject'(this) )
& ( nullObject = 'BeingConstructed' )
& ( true_1 = 'InRange'(result,'System_Int32') )
& ( true_1 = select2('Heap',this,allocated) )
& ( true_1 = 'IsNotNull'(this,'IntQueue') )
& ( true_1 = 'IsHeap'('Heap') )
& ( select2('Heap',this,'IntQueue_head') = X0 ) ),
inference(definition_folding,[],[f35,f43,f42,f41,f40]) ).
tff(f43,plain,
! [X0: $int] :
( ( ( sP2(X0)
| sP1(X0) )
& ~ $less(1,1)
& ~ $less(1,1)
& ( 0 != X0 )
& ~ $less(0,0)
& ~ $less(0,0) )
| ~ sP4(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
tff(f35,plain,
? [X0: $int] :
( ( ( ( ( ( result_2 != X0 )
& ( result_2 = result_0 )
& ( result_0 = X0 )
& ( 1 != X0 )
& ~ $less(1,1)
& ~ $less(1,1) )
| ( ( result_2 != X0 )
& ( result_1 = result_2 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( result_1 = X0 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( 1 = result_1 ) ) )
& ~ $less(1,1)
& ~ $less(1,1)
& ( 0 != X0 )
& ~ $less(0,0)
& ~ $less(0,0) )
| ( ( result_2 != X0 )
& ( result_1 = result_2 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( result_1 = X0 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( 0 = result_1 ) ) )
& ~ $less(0,0)
& ~ $less(0,0)
& ! [X1: $int] :
? [X2: $int] :
( ( ( ( select2('Heap',X1,localinv) = X2 )
& ( select2('Heap',X1,inv) = X2 ) )
| ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
& ( typeof(X1) = X2 ) )
& ( this = 'AsPureObject'(this) )
& ( nullObject = 'BeingConstructed' )
& ( true_1 = 'InRange'(result,'System_Int32') )
& ( true_1 = select2('Heap',this,allocated) )
& ( true_1 = 'IsNotNull'(this,'IntQueue') )
& ( true_1 = 'IsHeap'('Heap') )
& ( select2('Heap',this,'IntQueue_head') = X0 ) ),
inference(flattening,[],[f34]) ).
tff(f34,plain,
? [X0: $int] :
( ( ( ( ( ( result_2 != X0 )
& ( result_2 = result_0 )
& ( result_0 = X0 )
& ( 1 != X0 )
& ~ $less(1,1)
& ~ $less(1,1) )
| ( ( result_2 != X0 )
& ( result_1 = result_2 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( result_1 = X0 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( 1 = result_1 ) ) )
& ~ $less(1,1)
& ~ $less(1,1)
& ( 0 != X0 )
& ~ $less(0,0)
& ~ $less(0,0) )
| ( ( result_2 != X0 )
& ( result_1 = result_2 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( result_1 = X0 )
& ~ $less(1,result_1)
& ~ $less(result_1,0)
& ( 0 = result_1 ) ) )
& ~ $less(0,0)
& ~ $less(0,0)
& ! [X1: $int] :
? [X2: $int] :
( ( ( ( select2('Heap',X1,localinv) = X2 )
& ( select2('Heap',X1,inv) = X2 ) )
| ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
& ( typeof(X1) = X2 ) )
& ( this = 'AsPureObject'(this) )
& ( nullObject = 'BeingConstructed' )
& ( true_1 = 'InRange'(result,'System_Int32') )
& ( true_1 = select2('Heap',this,allocated) )
& ( true_1 = 'IsNotNull'(this,'IntQueue') )
& ( true_1 = 'IsHeap'('Heap') )
& ( select2('Heap',this,'IntQueue_head') = X0 ) ),
inference(ennf_transformation,[],[f28]) ).
tff(f28,plain,
? [X0: $int] :
( ~ ( ( true_1 = 'IsHeap'('Heap') )
=> ( ~ ( ( true_1 != select2('Heap',this,allocated) )
| ( true_1 != 'IsNotNull'(this,'IntQueue') ) )
=> ( ( true_1 = 'InRange'(result,'System_Int32') )
=> ( ( nullObject = 'BeingConstructed' )
=> ( ( this = 'AsPureObject'(this) )
=> ( ! [X1: $int] :
? [X2: $int] :
( ( ~ ( ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
=> ~ ( ( select2('Heap',X1,localinv) != X2 )
| ( select2('Heap',X1,inv) != X2 ) ) )
& ( typeof(X1) = X2 ) )
=> ( ~ ( $less(0,0)
| $less(0,0) )
=> ~ ( ~ ( ~ ( $less(0,0)
| $less(0,0) )
=> ( ( 0 != X0 )
=> ( ~ ( $less(1,1)
| $less(1,1) )
=> ~ ( ~ ( ~ ( $less(1,1)
| $less(1,1) )
=> ( ( 1 != X0 )
=> ( ( result_0 = X0 )
=> ( ( result_2 = result_0 )
=> ( result_2 = X0 ) ) ) ) )
| ~ ( ( 1 = result_1 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = X0 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = result_2 )
=> ( result_2 = X0 ) ) ) ) ) ) ) ) ) )
| ~ ( ( 0 = result_1 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = X0 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = result_2 )
=> ( result_2 = X0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( select2('Heap',this,'IntQueue_head') = X0 ) ),
inference(flattening,[],[f27]) ).
tff(f27,plain,
? [X0: $int] :
( ~ ( ( true_1 = 'IsHeap'('Heap') )
=> ( ~ ( ( true_1 != select2('Heap',this,allocated) )
| ( true_1 != 'IsNotNull'(this,'IntQueue') ) )
=> ( ( true_1 = 'InRange'(result,'System_Int32') )
=> ( ( nullObject = 'BeingConstructed' )
=> ( ( this = 'AsPureObject'(this) )
=> ( ! [X1: $int] :
? [X2: $int] :
( ( ~ ( ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
=> ~ ( ( select2('Heap',X1,localinv) != X2 )
| ( select2('Heap',X1,inv) != X2 ) ) )
& ( typeof(X1) = X2 ) )
=> ( ~ ( $less(0,0)
| $less(0,0) )
=> ~ ( ~ ( ~ ( $less(0,0)
| $less(0,0) )
=> ( ( 0 != X0 )
=> ( ~ ( $less(1,1)
| $less(1,1) )
=> ~ ( ~ ( ~ ( $less(1,1)
| $less(1,1) )
=> ( ( 1 != X0 )
=> ( ( result_0 = X0 )
=> ( ( result_2 = result_0 )
=> ( ~ result_2 != X0 ) ) ) ) )
| ~ ( ( 1 = result_1 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = X0 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = result_2 )
=> ( ~ result_2 != X0 ) ) ) ) ) ) ) ) ) )
| ~ ( ( 0 = result_1 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = X0 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = result_2 )
=> ( ~ result_2 != X0 ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( select2('Heap',this,'IntQueue_head') = X0 ) ),
inference(true_and_false_elimination,[],[f26]) ).
tff(f26,plain,
? [X0: $int] :
( ~ ( ( true_1 = 'IsHeap'('Heap') )
=> ( ~ ( ( true_1 != select2('Heap',this,allocated) )
| ( true_1 != 'IsNotNull'(this,'IntQueue') ) )
=> ( ( true_1 = 'InRange'(result,'System_Int32') )
=> ( ( nullObject = 'BeingConstructed' )
=> ( ( this = 'AsPureObject'(this) )
=> ( ! [X1: $int] :
? [X2: $int] :
( ( ~ ( ( select2('Heap',this,ownerFrame) != select2('Heap',X1,ownerFrame) )
| ( select2('Heap',this,ownerRef) != select2('Heap',X1,ownerRef) )
| ( true_1 != select2('Heap',X1,allocated) )
| ( nullObject = X1 ) )
=> ~ ( ( select2('Heap',X1,localinv) != X2 )
| ( select2('Heap',X1,inv) != X2 ) ) )
& ( typeof(X1) = X2 ) )
=> ( ~ ( $less(0,0)
| $less(0,0) )
=> ~ ( ~ ( ~ ( $less(0,0)
| $less(0,0) )
=> ( ( 0 != X0 )
=> ( ~ ( $less(1,1)
| $less(1,1) )
=> ~ ( ~ ( ~ ( $less(1,1)
| $less(1,1) )
=> ( ( 1 != X0 )
=> ( ( result_0 = X0 )
=> ( ( result_2 = result_0 )
=> ~ ( ~ ( ( result_2 = X0 )
=> $true )
| ( result_2 != X0 ) ) ) ) ) )
| ~ ( ( 1 = result_1 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = X0 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = result_2 )
=> ~ ( ~ ( ( result_2 = X0 )
=> $true )
| ( result_2 != X0 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( 0 = result_1 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = X0 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = result_2 )
=> ~ ( ~ ( ( result_2 = X0 )
=> $true )
| ( result_2 != X0 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( select2('Heap',this,'IntQueue_head') = X0 ) ),
inference(rectify,[],[f5]) ).
tff(f5,plain,
? [X144: $int] :
( ~ ( ( true_1 = 'IsHeap'('Heap') )
=> ( ~ ( ( true_1 != select2('Heap',this,allocated) )
| ( true_1 != 'IsNotNull'(this,'IntQueue') ) )
=> ( ( true_1 = 'InRange'(result,'System_Int32') )
=> ( ( nullObject = 'BeingConstructed' )
=> ( ( this = 'AsPureObject'(this) )
=> ( ! [X111: $int] :
? [X145: $int] :
( ( ~ ( ( select2('Heap',X111,ownerFrame) != select2('Heap',this,ownerFrame) )
| ( select2('Heap',X111,ownerRef) != select2('Heap',this,ownerRef) )
| ( true_1 != select2('Heap',X111,allocated) )
| ( nullObject = X111 ) )
=> ~ ( ( select2('Heap',X111,localinv) != X145 )
| ( select2('Heap',X111,inv) != X145 ) ) )
& ( typeof(X111) = X145 ) )
=> ( ~ ( $less(0,0)
| $less(0,0) )
=> ~ ( ~ ( ~ ( $less(0,0)
| $less(0,0) )
=> ( ( 0 != X144 )
=> ( ~ ( $less(1,1)
| $less(1,1) )
=> ~ ( ~ ( ~ ( $less(1,1)
| $less(1,1) )
=> ( ( 1 != X144 )
=> ( ( result_0 = X144 )
=> ( ( result_2 = result_0 )
=> ~ ( ~ ( ( result_2 = X144 )
=> $true )
| ( result_2 != X144 ) ) ) ) ) )
| ~ ( ( 1 = result_1 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = X144 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = result_2 )
=> ~ ( ~ ( ( result_2 = X144 )
=> $true )
| ( result_2 != X144 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( 0 = result_1 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = X144 )
=> ( ~ ( $less(1,result_1)
| $less(result_1,0) )
=> ( ( result_1 = result_2 )
=> ~ ( ~ ( ( result_2 = X144 )
=> $true )
| ( result_2 != X144 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( select2('Heap',this,'IntQueue_head') = X144 ) ),
inference(theory_normalization,[],[f3]) ).
tff(f3,axiom,
? [X144: $int] :
( ~ ( ( true_1 = 'IsHeap'('Heap') )
=> ( ~ ( ( true_1 != select2('Heap',this,allocated) )
| ( true_1 != 'IsNotNull'(this,'IntQueue') ) )
=> ( ( true_1 = 'InRange'(result,'System_Int32') )
=> ( ( nullObject = 'BeingConstructed' )
=> ( ( this = 'AsPureObject'(this) )
=> ( ! [X111: $int] :
? [X145: $int] :
( ( ~ ( ( select2('Heap',X111,ownerFrame) != select2('Heap',this,ownerFrame) )
| ( select2('Heap',X111,ownerRef) != select2('Heap',this,ownerRef) )
| ( true_1 != select2('Heap',X111,allocated) )
| ( nullObject = X111 ) )
=> ~ ( ( select2('Heap',X111,localinv) != X145 )
| ( select2('Heap',X111,inv) != X145 ) ) )
& ( typeof(X111) = X145 ) )
=> ( ~ ( ~ $lesseq(0,0)
| ~ $lesseq(0,0) )
=> ~ ( ~ ( ~ ( ~ $lesseq(0,0)
| ~ $lesseq(0,0) )
=> ( ( 0 != X144 )
=> ( ~ ( ~ $lesseq(1,1)
| ~ $lesseq(1,1) )
=> ~ ( ~ ( ~ ( ~ $lesseq(1,1)
| ~ $lesseq(1,1) )
=> ( ( 1 != X144 )
=> ( ( result_0 = X144 )
=> ( ( result_2 = result_0 )
=> ~ ( ~ ( ( result_2 = X144 )
=> $true )
| ( result_2 != X144 ) ) ) ) ) )
| ~ ( ( 1 = result_1 )
=> ( ~ ( ~ $lesseq(result_1,1)
| ~ $lesseq(0,result_1) )
=> ( ( result_1 = X144 )
=> ( ~ ( ~ $lesseq(result_1,1)
| ~ $lesseq(0,result_1) )
=> ( ( result_1 = result_2 )
=> ~ ( ~ ( ( result_2 = X144 )
=> $true )
| ( result_2 != X144 ) ) ) ) ) ) ) ) ) ) )
| ~ ( ( 0 = result_1 )
=> ( ~ ( ~ $lesseq(result_1,1)
| ~ $lesseq(0,result_1) )
=> ( ( result_1 = X144 )
=> ( ~ ( ~ $lesseq(result_1,1)
| ~ $lesseq(0,result_1) )
=> ( ( result_1 = result_2 )
=> ~ ( ~ ( ( result_2 = X144 )
=> $true )
| ( result_2 != X144 ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
& ( select2('Heap',this,'IntQueue_head') = X144 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',formula_3) ).
tff(f325,plain,
! [X0: $int] :
( ~ sP4(X0)
| sP1(X0)
| sP2(X0) ),
inference(cnf_transformation,[],[f97]) ).
tff(f97,plain,
! [X0: $int] :
( ( ( sP2(X0)
| sP1(X0) )
& ~ $less(1,1)
& ~ $less(1,1)
& ( 0 != X0 )
& ~ $less(0,0)
& ~ $less(0,0) )
| ~ sP4(X0) ),
inference(nnf_transformation,[],[f43]) ).
tff(f3388,plain,
( sP2(result_0)
| ( result_1 = result_2 ) ),
inference(duplicate_literal_removal,[],[f3385]) ).
tff(f3385,plain,
( sP2(result_0)
| ( result_1 = result_2 )
| ( result_1 = result_2 ) ),
inference(superposition,[],[f3376,f3381]) ).
tff(f3381,plain,
( ( result_0 = sK52 )
| ( result_1 = result_2 ) ),
inference(resolution,[],[f3376,f337]) ).
tff(f337,plain,
! [X0: $int] :
( ~ sP2(X0)
| ( result_0 = X0 ) ),
inference(cnf_transformation,[],[f99]) ).
tff(f3462,plain,
result_1 = sK52,
inference(subsumption_resolution,[],[f3461,f3286]) ).
tff(f3286,plain,
~ sP4(result_2),
inference(unit_resulting_resolution,[],[f2971,f2973,f325]) ).
tff(f2973,plain,
~ sP1(result_2),
inference(equality_resolution,[],[f347]) ).
tff(f347,plain,
! [X0: $int] :
( ( result_2 != X0 )
| ~ sP1(X0) ),
inference(cnf_transformation,[],[f100]) ).
tff(f3461,plain,
( sP4(result_2)
| ( result_1 = sK52 ) ),
inference(forward_demodulation,[],[f3460,f3439]) ).
tff(f3439,plain,
result_2 = result_0,
inference(subsumption_resolution,[],[f3438,f2973]) ).
tff(f3438,plain,
( sP1(result_2)
| ( result_2 = result_0 ) ),
inference(forward_demodulation,[],[f3434,f3394]) ).
tff(f3434,plain,
( sP1(result_1)
| ( result_2 = result_0 ) ),
inference(duplicate_literal_removal,[],[f3432]) ).
tff(f3432,plain,
( sP1(result_1)
| ( result_2 = result_0 )
| ( result_2 = result_0 ) ),
inference(superposition,[],[f3424,f3382]) ).
tff(f3382,plain,
( ( result_1 = sK52 )
| ( result_2 = result_0 ) ),
inference(resolution,[],[f3379,f338]) ).
tff(f3379,plain,
( sP2(sK52)
| ( result_1 = sK52 ) ),
inference(subsumption_resolution,[],[f3374,f343]) ).
tff(f343,plain,
! [X0: $int] :
( ~ sP1(X0)
| ( result_1 = X0 ) ),
inference(cnf_transformation,[],[f100]) ).
tff(f3374,plain,
( sP2(sK52)
| sP1(sK52)
| ( result_1 = sK52 ) ),
inference(resolution,[],[f3287,f329]) ).
tff(f329,plain,
! [X0: $int] :
( ~ sP3(X0)
| ( result_1 = X0 ) ),
inference(cnf_transformation,[],[f98]) ).
tff(f3424,plain,
( sP1(sK52)
| ( result_2 = result_0 ) ),
inference(subsumption_resolution,[],[f3423,f2970]) ).
tff(f3423,plain,
( sP3(result_2)
| sP1(sK52)
| ( result_2 = result_0 ) ),
inference(forward_demodulation,[],[f3422,f3394]) ).
tff(f3422,plain,
( sP3(result_1)
| sP1(sK52)
| ( result_2 = result_0 ) ),
inference(subsumption_resolution,[],[f3420,f338]) ).
tff(f3420,plain,
( sP3(result_1)
| sP2(sK52)
| sP1(sK52)
| ( result_2 = result_0 ) ),
inference(superposition,[],[f3287,f3382]) ).
tff(f3460,plain,
( sP4(result_0)
| ( result_1 = sK52 ) ),
inference(subsumption_resolution,[],[f3451,f329]) ).
tff(f3451,plain,
( sP4(result_0)
| sP3(sK52)
| ( result_1 = sK52 ) ),
inference(superposition,[],[f360,f3383]) ).
tff(f3383,plain,
( ( result_0 = sK52 )
| ( result_1 = sK52 ) ),
inference(resolution,[],[f3379,f337]) ).
tff(f3482,plain,
sP3(sK52),
inference(subsumption_resolution,[],[f3473,f3286]) ).
tff(f3473,plain,
( sP4(result_2)
| sP3(sK52) ),
inference(superposition,[],[f360,f3463]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWW797_1 : TPTP v8.1.2. Released v7.0.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35 % Computer : n023.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 03:19:25 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % (27437)Running in auto input_syntax mode. Trying TPTP
% 0.21/0.41 % (27440)WARNING: value z3 for option sas not known
% 0.21/0.41 % (27439)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.41 % (27438)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.41 % (27441)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.41 % (27440)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.21/0.41 % (27444)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.21/0.41 % (27442)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.21/0.42 % (27443)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.21/0.45 % (27439)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.45 % (27439)Terminated due to inappropriate strategy.
% 0.21/0.45 % (27439)------------------------------
% 0.21/0.45 % (27439)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (27439)Termination reason: Inappropriate
% 0.21/0.45
% 0.21/0.45 % (27439)Memory used [KB]: 3109
% 0.21/0.45 % (27439)Time elapsed: 0.038 s
% 0.21/0.45 % (27439)Instructions burned: 95 (million)
% 0.21/0.45 % (27439)------------------------------
% 0.21/0.45 % (27439)------------------------------
% 0.21/0.45 % (27438)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.45 % (27438)Terminated due to inappropriate strategy.
% 0.21/0.45 % (27438)------------------------------
% 0.21/0.45 % (27438)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (27438)Termination reason: Inappropriate
% 0.21/0.45
% 0.21/0.45 % (27438)Memory used [KB]: 3109
% 0.21/0.45 % (27438)Time elapsed: 0.039 s
% 0.21/0.45 % (27438)Instructions burned: 97 (million)
% 0.21/0.45 % (27438)------------------------------
% 0.21/0.45 % (27438)------------------------------
% 0.21/0.45 % (27441)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.45 % (27441)Terminated due to inappropriate strategy.
% 0.21/0.45 % (27441)------------------------------
% 0.21/0.45 % (27441)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.45 % (27441)Termination reason: Inappropriate
% 0.21/0.45
% 0.21/0.45 % (27441)Memory used [KB]: 3263
% 0.21/0.45 % (27441)Time elapsed: 0.041 s
% 0.21/0.45 % (27441)Instructions burned: 96 (million)
% 0.21/0.45 % (27441)------------------------------
% 0.21/0.45 % (27441)------------------------------
% 0.21/0.46 % (27446)fmb+10_1_fmbas=expand:fmbsr=1.1:gsp=on:nm=4_411 on theBenchmark for (411ds/0Mi)
% 0.21/0.46 % (27447)ott+1_9_av=off:bd=off:bs=on:gsp=on:lcm=predicate:nm=4:sp=weighted_frequency:urr=on_382 on theBenchmark for (382ds/0Mi)
% 0.21/0.46 % (27448)lrs-11_2:5_fsd=off:fde=none:nm=4:nwc=5.0:sims=off:sp=reverse_weighted_frequency:stl=62_367 on theBenchmark for (367ds/0Mi)
% 0.21/0.50 % (27446)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.21/0.50 % (27446)Terminated due to inappropriate strategy.
% 0.21/0.50 % (27446)------------------------------
% 0.21/0.50 % (27446)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.50 % (27446)Termination reason: Inappropriate
% 0.21/0.50
% 0.21/0.50 % (27446)Memory used [KB]: 3085
% 0.21/0.50 % (27446)Time elapsed: 0.035 s
% 0.21/0.50 % (27446)Instructions burned: 85 (million)
% 0.21/0.50 % (27446)------------------------------
% 0.21/0.50 % (27446)------------------------------
% 0.21/0.51 % (27444)First to succeed.
% 0.21/0.51 % (27449)ott+4_64_acc=on:anc=none:bs=on:bsr=on:fsd=off:gs=on:gsem=off:irw=on:msp=off:nwc=2.5:nicw=on:sims=off_354 on theBenchmark for (354ds/0Mi)
% 0.21/0.51 % (27444)Refutation found. Thanks to Tanya!
% 0.21/0.51 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.52 % (27444)------------------------------
% 0.21/0.52 % (27444)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.52 % (27444)Termination reason: Refutation
% 0.21/0.52
% 0.21/0.52 % (27444)Memory used [KB]: 3920
% 0.21/0.52 % (27444)Time elapsed: 0.106 s
% 0.21/0.52 % (27444)Instructions burned: 285 (million)
% 0.21/0.52 % (27444)------------------------------
% 0.21/0.52 % (27444)------------------------------
% 0.21/0.52 % (27437)Success in time 0.165 s
% 0.21/0.52 27449 Aborted by signal SIGHUP on /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.52 % (27449)------------------------------
% 0.21/0.52 % (27449)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.52 % (27449)Termination reason: Unknown
% 0.21/0.52 % (27449)Termination phase: Unknown
% 0.21/0.52
% 0.21/0.52 % (27449)Memory used [KB]: 1377
% 0.21/0.52 % (27449)Time elapsed: 0.003 s
% 0.21/0.52 % (27449)Instructions burned: 3 (million)
% 0.21/0.52 % (27449)------------------------------
% 0.21/0.52 % (27449)------------------------------
% 0.21/0.52 Version : Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
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% 0.21/0.52 ???
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% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
% 0.21/0.52 ???
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