TSTP Solution File: SWW805_1 by Vampire-SAT---4.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.9
% Problem  : SWW805_1 : TPTP v8.2.0. Released v7.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire %s %d SAT

% Computer : n009.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 : Mon Jun 24 19:03:11 EDT 2024

% Result   : Unsatisfiable 1.62s 0.62s
% Output   : Refutation 1.62s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   75 (   8 unt;   0 typ;   0 def)
%            Number of atoms       :  921 ( 596 equ)
%            Maximal formula atoms :  103 (  12 avg)
%            Number of connectives : 1400 ( 554   ~; 405   |; 227   &)
%                                         (  84 <=>; 126  =>;   0  <=;   4 <~>)
%            Maximal formula depth :   45 (   8 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number arithmetic     : 1087 ( 220 atm;   0 fun; 479 num; 388 var)
%            Number of types       :    2 (   0 usr;   1 ari)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   19 (  12 usr;  11 prp; 0-2 aty)
%            Number of functors    :  229 ( 227 usr;  70 con; 0-12 aty)
%            Number of variables   :  388 ( 327   !;  61   ?; 388   :)

% Comments : 
%------------------------------------------------------------------------------
tff(func_def_0,type,
    x_3: $int ).

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

tff(func_def_2,type,
    localinv: $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,
    'AsPeerField': $int > $int ).

tff(func_def_11,type,
    'ArrayCategoryInt': $int ).

tff(func_def_12,type,
    'StructGet': ( $int * $int ) > $int ).

tff(func_def_13,type,
    false_1: $int ).

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

tff(func_def_15,type,
    'InRange': ( $int * $int ) > $int ).

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

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

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

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

tff(func_def_20,type,
    'System_IConvertible': $int ).

tff(func_def_21,type,
    'System_Int64': $int ).

tff(func_def_22,type,
    'System_Int32': $int ).

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

tff(func_def_24,type,
    'DeclType': $int > $int ).

tff(func_def_25,type,
    'ArraySum_Even_System_Int32_1': $int > $int ).

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

tff(func_def_27,type,
    sum_x0: ( $int * $int * $int * $int * $int * $int * $int ) > $int ).

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

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

tff(func_def_30,type,
    'ArraySum_a': $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,
    'Unbox': $int > $int ).

tff(func_def_36,type,
    typeof: $int > $int ).

tff(func_def_37,type,
    'ArrayCategoryNonNullRef': $int ).

tff(func_def_38,type,
    'IfThenElse': ( $int * $int * $int ) > $int ).

tff(func_def_39,type,
    int_m2147483648: $int ).

tff(func_def_40,type,
    'TypeName': $int > $int ).

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

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

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

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

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

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

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

tff(func_def_48,type,
    shl: ( $int * $int ) > $int ).

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

tff(func_def_50,type,
    'System_Boolean': $int ).

tff(func_def_51,type,
    'As': ( $int * $int ) > $int ).

tff(func_def_52,type,
    'ArrayCategoryRef': $int ).

tff(func_def_53,type,
    'AsNonNullRefField': ( $int * $int ) > $int ).

tff(func_def_54,type,
    x_2: ( $int * $int ) > $int ).

tff(func_def_55,type,
    allocated: $int ).

tff(func_def_56,type,
    'AsRangeField': ( $int * $int ) > $int ).

tff(func_def_57,type,
    and_1: ( $int * $int ) > $int ).

tff(func_def_58,type,
    'SharingMode_LockProtected': $int ).

tff(func_def_59,type,
    'IntArrayGet': ( $int * $int ) > $int ).

tff(func_def_60,type,
    'Is': ( $int * $int ) > $int ).

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

tff(func_def_62,type,
    int_m9223372036854775808: $int ).

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

tff(func_def_64,type,
    'ArrayIndex': ( $int * $int * $int * $int ) > $int ).

tff(func_def_65,type,
    select1: ( $int * $int ) > $int ).

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

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

tff(func_def_68,type,
    'ArraySum': $int ).

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

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

tff(func_def_71,type,
    'AsElementsPeerField': ( $int * $int ) > $int ).

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

tff(func_def_73,type,
    store2: ( $int * $int * $int * $int ) > $int ).

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

tff(func_def_75,type,
    stack0b_0: $int ).

tff(func_def_76,type,
    'Rank': $int > $int ).

tff(func_def_77,type,
    'ArraySum_Even_System_Int32': ( $int * $int ) > $int ).

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

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

tff(func_def_80,type,
    'IntArraySet': ( $int * $int * $int ) > $int ).

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

tff(func_def_82,type,
    'System_Collections_ICollection': $int ).

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

tff(func_def_84,type,
    'ElementProxy': ( $int * $int ) > $int ).

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

tff(func_def_86,type,
    'SharingMode_Unshared': $int ).

tff(func_def_87,type,
    'System_UInt16': $int ).

tff(func_def_88,type,
    'ClassReprInv': $int > $int ).

tff(func_def_89,type,
    int_4294967295: $int ).

tff(func_def_90,type,
    'ClassRepr': $int > $int ).

tff(func_def_91,type,
    'NonNullFieldsAreInitialized': $int ).

tff(func_def_92,type,
    'AsInterface': $int > $int ).

tff(func_def_93,type,
    boolOr: ( $int * $int ) > $int ).

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

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

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

tff(func_def_97,type,
    'ElementType': $int > $int ).

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

tff(func_def_99,type,
    'BeingConstructed': $int ).

tff(func_def_100,type,
    true_1: $int ).

tff(func_def_101,type,
    int_2147483647: $int ).

tff(func_def_102,type,
    'System_IComparable_1___System_String': $int ).

tff(func_def_103,type,
    'System_String_Equals_System_String': ( $int * $int * $int ) > $int ).

tff(func_def_104,type,
    'OneClassDown': ( $int * $int ) > $int ).

tff(func_def_105,type,
    'StringLength': $int > $int ).

tff(func_def_106,type,
    'AsImmutable': $int > $int ).

tff(func_def_107,type,
    'System_Collections_Generic_IEnumerable_1___System_Char': $int ).

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

tff(func_def_109,type,
    'PurityAxiomsCanBeAssumed': $int ).

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

tff(func_def_111,type,
    boolIff: ( $int * $int ) > $int ).

tff(func_def_112,type,
    intAtMost: ( $int * $int ) > $int ).

tff(func_def_113,type,
    elements: $int ).

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

tff(func_def_115,type,
    'System_Collections_IList': $int ).

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

tff(func_def_117,type,
    'System_UInt32': $int ).

tff(func_def_118,type,
    'IsImmutable': $int > $int ).

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

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

tff(func_def_121,type,
    sum_0: ( $int * $int * $int * $int * $int * $int * $int ) > $int ).

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

tff(func_def_123,type,
    'NonNullRefArrayRaw': ( $int * $int * $int ) > $int ).

tff(func_def_124,type,
    'BoxFunc': ( $int * $int * $int * $int ) > $int ).

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

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

tff(func_def_127,type,
    'System_Byte': $int ).

tff(func_def_128,type,
    'UnboxedType': $int > $int ).

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

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

tff(func_def_131,type,
    'System_Type': $int ).

tff(func_def_132,type,
    ownerFrame: $int ).

tff(func_def_133,type,
    stack0i_0: $int ).

tff(func_def_134,type,
    'System_IEquatable_1___System_String': $int ).

tff(func_def_135,type,
    x_in: $int ).

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

tff(func_def_137,type,
    shr: ( $int * $int ) > $int ).

tff(func_def_138,type,
    'DimLength': ( $int * $int ) > $int ).

tff(func_def_139,type,
    'RefArrayGet': ( $int * $int ) > $int ).

tff(func_def_140,type,
    x_1: ( $int * $int ) > $int ).

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

tff(func_def_142,type,
    exposeVersion: $int ).

tff(func_def_143,type,
    'System_ICloneable': $int ).

tff(func_def_144,type,
    int_9223372036854775807: $int ).

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

tff(func_def_146,type,
    'ArrayIndexInvX': $int > $int ).

tff(func_def_147,type,
    anyNeq: ( $int * $int ) > $int ).

tff(func_def_148,type,
    int_18446744073709551615: $int ).

tff(func_def_149,type,
    'IncludeInMainFrameCondition': $int > $int ).

tff(func_def_150,type,
    nullObject: $int ).

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

tff(func_def_152,type,
    select2: ( $int * $int * $int ) > $int ).

tff(func_def_153,type,
    'ArrayCategory': $int > $int ).

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

tff(func_def_155,type,
    'IsMemberlessType': $int > $int ).

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

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

tff(func_def_158,type,
    'System_String': $int ).

tff(func_def_172,type,
    sK0: $int ).

tff(func_def_173,type,
    sK2: $int ).

tff(func_def_174,type,
    sK3: $int ).

tff(func_def_175,type,
    sK4: $int ).

tff(func_def_176,type,
    sK5: $int ).

tff(func_def_177,type,
    sK6: ( $int * $int ) > $int ).

tff(func_def_178,type,
    sK7: ( $int * $int ) > $int ).

tff(func_def_179,type,
    sK8: ( $int * $int ) > $int ).

tff(func_def_180,type,
    sK11: ( $int * $int ) > $int ).

tff(func_def_181,type,
    sK12: ( $int * $int ) > $int ).

tff(func_def_182,type,
    sK13: ( $int * $int ) > $int ).

tff(func_def_183,type,
    sK15: $int ).

tff(func_def_184,type,
    sK16: $int ).

tff(func_def_185,type,
    sK17: $int ).

tff(func_def_186,type,
    sK18: ( $int * $int * $int ) > $int ).

tff(func_def_187,type,
    sK19: $int > $int ).

tff(func_def_188,type,
    sK20: ( $int * $int ) > $int ).

tff(func_def_189,type,
    sK21: ( $int * $int ) > $int ).

tff(func_def_190,type,
    sK22: ( $int * $int ) > $int ).

tff(func_def_191,type,
    sK23: ( $int * $int ) > $int ).

tff(func_def_192,type,
    sK24: ( $int * $int * $int ) > $int ).

tff(func_def_193,type,
    sK25: ( $int * $int * $int ) > $int ).

tff(func_def_194,type,
    sK26: ( $int * $int * $int ) > $int ).

tff(func_def_195,type,
    sK27: ( $int * $int * $int ) > $int ).

tff(func_def_196,type,
    sK28: ( $int * $int * $int ) > $int ).

tff(func_def_197,type,
    sK29: ( $int * $int * $int ) > $int ).

tff(func_def_198,type,
    sK30: ( $int * $int * $int ) > $int ).

tff(func_def_199,type,
    sK31: ( $int * $int * $int ) > $int ).

tff(func_def_200,type,
    sK32: ( $int * $int * $int ) > $int ).

tff(func_def_201,type,
    sK33: ( $int * $int * $int ) > $int ).

tff(func_def_202,type,
    sK34: ( $int * $int * $int ) > $int ).

tff(func_def_203,type,
    sK35: $int > $int ).

tff(func_def_204,type,
    sK36: ( $int * $int ) > $int ).

tff(func_def_205,type,
    sK37: ( $int * $int * $int ) > $int ).

tff(func_def_206,type,
    sK38: ( $int * $int * $int ) > $int ).

tff(func_def_207,type,
    sK39: ( $int * $int * $int * $int ) > $int ).

tff(func_def_208,type,
    sK40: ( $int * $int * $int ) > $int ).

tff(func_def_209,type,
    sK41: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_210,type,
    sK42: ( $int * $int * $int * $int ) > $int ).

tff(func_def_211,type,
    sK43: ( $int * $int ) > $int ).

tff(func_def_212,type,
    sK44: ( $int * $int ) > $int ).

tff(func_def_213,type,
    sK45: ( $int * $int ) > $int ).

tff(func_def_214,type,
    sK46: ( $int * $int * $int ) > $int ).

tff(func_def_215,type,
    sK47: ( $int * $int * $int ) > $int ).

tff(func_def_216,type,
    sK48: ( $int * $int ) > $int ).

tff(func_def_217,type,
    sK49: ( $int * $int * $int * $int ) > $int ).

tff(func_def_218,type,
    sK50: ( $int * $int ) > $int ).

tff(func_def_219,type,
    sK51: ( $int * $int ) > $int ).

tff(func_def_220,type,
    sK52: ( $int * $int ) > $int ).

tff(func_def_221,type,
    sK53: ( $int * $int ) > $int ).

tff(func_def_222,type,
    sK54: ( $int * $int ) > $int ).

tff(func_def_223,type,
    sK55: ( $int * $int ) > $int ).

tff(func_def_224,type,
    sK56: ( $int * $int ) > $int ).

tff(func_def_225,type,
    sK57: ( $int * $int ) > $int ).

tff(func_def_226,type,
    sK58: ( $int * $int ) > $int ).

tff(func_def_227,type,
    sK59: ( $int * $int ) > $int ).

tff(func_def_228,type,
    sK60: ( $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_229,type,
    sK61: ( $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_230,type,
    sK62: ( $int * $int * $int * $int * $int * $int * $int * $int * $int * $int * $int * $int ) > $int ).

tff(func_def_231,type,
    sK63: ( $int * $int ) > $int ).

tff(func_def_232,type,
    sK64: ( $int * $int * $int * $int * $int ) > $int ).

tff(func_def_233,type,
    sK65: ( $int * $int * $int * $int ) > $int ).

tff(func_def_234,type,
    sK66: ( $int * $int ) > $int ).

tff(func_def_235,type,
    sK67: ( $int * $int ) > $int ).

tff(func_def_236,type,
    sK68: ( $int * $int ) > $int ).

tff(func_def_237,type,
    sK69: ( $int * $int ) > $int ).

tff(func_def_238,type,
    sK70: ( $int * $int * $int ) > $int ).

tff(func_def_239,type,
    sK71: ( $int * $int * $int ) > $int ).

tff(pred_def_5,type,
    sP1: $int > $o ).

tff(pred_def_6,type,
    sP9: $int > $o ).

tff(pred_def_8,type,
    sP14: $int > $o ).

tff(f2909,plain,
    $false,
    inference(avatar_sat_refutation,[],[f2594,f2613,f2621,f2622,f2651,f2712,f2716,f2801,f2810,f2904,f2908]) ).

tff(f2908,plain,
    ( spl72_9
    | ~ spl72_5 ),
    inference(avatar_split_clause,[],[f2907,f2610,f2628]) ).

tff(f2628,plain,
    ( spl72_9
  <=> ( 0 = sK0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).

tff(f2610,plain,
    ( spl72_5
  <=> ( 0 = stack0i_0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).

tff(f2907,plain,
    ( ( 0 = sK0 )
    | ~ spl72_5 ),
    inference(backward_demodulation,[],[f2585,f2612]) ).

tff(f2612,plain,
    ( ( 0 = stack0i_0 )
    | ~ spl72_5 ),
    inference(avatar_component_clause,[],[f2610]) ).

tff(f2585,plain,
    stack0i_0 = sK0,
    inference(evaluation,[],[f217]) ).

tff(f217,plain,
    ( ( 0 = 2 )
    | ( stack0i_0 = sK0 ) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f31,plain,
    ? [X0: $int] :
      ( ( ( ( ( ( ( ( ( $false
                      & ( ( true_1 = stack0b_0 )
                      <=> ( 0 = X0 ) ) )
                    | ( ( true_1 = stack0b_0 )
                    <~> ( 0 = X0 ) ) )
                  & ! [X1: $int,X2: $int] :
                    ? [X3: $int,X4: $int,X5: $int] :
                      ( ( ( X3 = X3 )
                        | ( ( select2('Heap',X5,localinv) != 'BaseClass'(X4) )
                          & ( true_1 = x(select2('Heap',X5,inv),X4) )
                          & ( 'PeerGroupPlaceholder' != X4 ) )
                        | ( true_1 != select2('Heap',X1,allocated) )
                        | ( nullObject = X1 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X2) ) )
                      & ( select2('Heap',X1,ownerRef) = X5 )
                      & ( select2('Heap',X1,ownerFrame) = X4 )
                      & ( select2('Heap',X1,X2) = X3 ) ) )
                | ? [X6: $int,X7: $int] :
                  ! [X8: $int,X9: $int,X10: $int] :
                    ( ( ( X8 != X8 )
                      & ( ( select2('Heap',X10,localinv) = 'BaseClass'(X9) )
                        | ( true_1 != x(select2('Heap',X10,inv),X9) )
                        | ( 'PeerGroupPlaceholder' = X9 ) )
                      & ( true_1 = select2('Heap',X6,allocated) )
                      & ( nullObject != X6 )
                      & ( true_1 = 'IncludeInMainFrameCondition'(X7) ) )
                    | ( select2('Heap',X6,ownerRef) != X10 )
                    | ( select2('Heap',X6,ownerFrame) != X9 )
                    | ( select2('Heap',X6,X7) != X8 ) ) )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( false_1 = stack0b_0 )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( 0 != stack0i_0 )
              & ~ $less(0,0)
              & ~ $less(0,0) )
            | ( ( ( ( ( $false
                      & ( ( true_1 = stack0b_0 )
                      <=> ( 0 = X0 ) ) )
                    | ( ( true_1 = stack0b_0 )
                    <~> ( 0 = X0 ) ) )
                  & ! [X11: $int,X12: $int] :
                    ? [X13: $int,X14: $int,X15: $int] :
                      ( ( ( X13 = X13 )
                        | ( ( select2('Heap',X15,localinv) != 'BaseClass'(X14) )
                          & ( true_1 = x(select2('Heap',X15,inv),X14) )
                          & ( 'PeerGroupPlaceholder' != X14 ) )
                        | ( true_1 != select2('Heap',X11,allocated) )
                        | ( nullObject = X11 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X12) ) )
                      & ( select2('Heap',X11,ownerRef) = X15 )
                      & ( select2('Heap',X11,ownerFrame) = X14 )
                      & ( select2('Heap',X11,X12) = X13 ) ) )
                | ? [X16: $int,X17: $int] :
                  ! [X18: $int,X19: $int,X20: $int] :
                    ( ( ( X18 != X18 )
                      & ( ( select2('Heap',X20,localinv) = 'BaseClass'(X19) )
                        | ( true_1 != x(select2('Heap',X20,inv),X19) )
                        | ( 'PeerGroupPlaceholder' = X19 ) )
                      & ( true_1 = select2('Heap',X16,allocated) )
                      & ( nullObject != X16 )
                      & ( true_1 = 'IncludeInMainFrameCondition'(X17) ) )
                    | ( select2('Heap',X16,ownerRef) != X20 )
                    | ( select2('Heap',X16,ownerFrame) != X19 )
                    | ( select2('Heap',X16,X17) != X18 ) ) )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( true_1 = stack0b_0 )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(stack0i_0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(stack0i_0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(stack0i_0,0)
              & ( 0 = stack0i_0 )
              & ~ $less(0,0)
              & ~ $less(0,0) ) )
          & ~ $less(0,0)
          & ~ $less(0,0)
          & ( stack0i_0 = X0 )
          & ( 0 != 2 ) )
        | ( 0 = 2 ) )
      & ( nullObject = 'BeingConstructed' )
      & ( true_1 = 'PurityAxiomsCanBeAssumed' )
      & ( true_1 = 'InRange'(x_3,'System_Int32') )
      & ( true_1 = 'InRange'(x_in,'System_Int32') )
      & ( true_1 = 'IsHeap'('Heap') )
      & ( x_1(x_in,2) = X0 ) ),
    inference(flattening,[],[f30]) ).

tff(f30,plain,
    ? [X0: $int] :
      ( ( ( ( ( ( ( ( ( $false
                      & ( ( true_1 = stack0b_0 )
                      <=> ( 0 = X0 ) ) )
                    | ( ( true_1 = stack0b_0 )
                    <~> ( 0 = X0 ) ) )
                  & ! [X1: $int,X2: $int] :
                    ? [X3: $int,X4: $int,X5: $int] :
                      ( ( ( X3 = X3 )
                        | ( ( select2('Heap',X5,localinv) != 'BaseClass'(X4) )
                          & ( true_1 = x(select2('Heap',X5,inv),X4) )
                          & ( 'PeerGroupPlaceholder' != X4 ) )
                        | ( true_1 != select2('Heap',X1,allocated) )
                        | ( nullObject = X1 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X2) ) )
                      & ( select2('Heap',X1,ownerRef) = X5 )
                      & ( select2('Heap',X1,ownerFrame) = X4 )
                      & ( select2('Heap',X1,X2) = X3 ) ) )
                | ? [X6: $int,X7: $int] :
                  ! [X8: $int,X9: $int,X10: $int] :
                    ( ( ( X8 != X8 )
                      & ( ( select2('Heap',X10,localinv) = 'BaseClass'(X9) )
                        | ( true_1 != x(select2('Heap',X10,inv),X9) )
                        | ( 'PeerGroupPlaceholder' = X9 ) )
                      & ( true_1 = select2('Heap',X6,allocated) )
                      & ( nullObject != X6 )
                      & ( true_1 = 'IncludeInMainFrameCondition'(X7) ) )
                    | ( select2('Heap',X6,ownerRef) != X10 )
                    | ( select2('Heap',X6,ownerFrame) != X9 )
                    | ( select2('Heap',X6,X7) != X8 ) ) )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( false_1 = stack0b_0 )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( 0 != stack0i_0 )
              & ~ $less(0,0)
              & ~ $less(0,0) )
            | ( ( ( ( ( $false
                      & ( ( true_1 = stack0b_0 )
                      <=> ( 0 = X0 ) ) )
                    | ( ( true_1 = stack0b_0 )
                    <~> ( 0 = X0 ) ) )
                  & ! [X11: $int,X12: $int] :
                    ? [X13: $int,X14: $int,X15: $int] :
                      ( ( ( X13 = X13 )
                        | ( ( select2('Heap',X15,localinv) != 'BaseClass'(X14) )
                          & ( true_1 = x(select2('Heap',X15,inv),X14) )
                          & ( 'PeerGroupPlaceholder' != X14 ) )
                        | ( true_1 != select2('Heap',X11,allocated) )
                        | ( nullObject = X11 )
                        | ( true_1 != 'IncludeInMainFrameCondition'(X12) ) )
                      & ( select2('Heap',X11,ownerRef) = X15 )
                      & ( select2('Heap',X11,ownerFrame) = X14 )
                      & ( select2('Heap',X11,X12) = X13 ) ) )
                | ? [X16: $int,X17: $int] :
                  ! [X18: $int,X19: $int,X20: $int] :
                    ( ( ( X18 != X18 )
                      & ( ( select2('Heap',X20,localinv) = 'BaseClass'(X19) )
                        | ( true_1 != x(select2('Heap',X20,inv),X19) )
                        | ( 'PeerGroupPlaceholder' = X19 ) )
                      & ( true_1 = select2('Heap',X16,allocated) )
                      & ( nullObject != X16 )
                      & ( true_1 = 'IncludeInMainFrameCondition'(X17) ) )
                    | ( select2('Heap',X16,ownerRef) != X20 )
                    | ( select2('Heap',X16,ownerFrame) != X19 )
                    | ( select2('Heap',X16,X17) != X18 ) ) )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ( true_1 = stack0b_0 )
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(stack0i_0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(stack0i_0,0)
              & ~ $less(0,0)
              & ~ $less(0,0)
              & ~ $less(0,stack0i_0)
              & ~ $less(stack0i_0,0)
              & ( 0 = stack0i_0 )
              & ~ $less(0,0)
              & ~ $less(0,0) ) )
          & ~ $less(0,0)
          & ~ $less(0,0)
          & ( stack0i_0 = X0 )
          & ( 0 != 2 ) )
        | ( 0 = 2 ) )
      & ( nullObject = 'BeingConstructed' )
      & ( true_1 = 'PurityAxiomsCanBeAssumed' )
      & ( true_1 = 'InRange'(x_3,'System_Int32') )
      & ( true_1 = 'InRange'(x_in,'System_Int32') )
      & ( true_1 = 'IsHeap'('Heap') )
      & ( x_1(x_in,2) = X0 ) ),
    inference(ennf_transformation,[],[f26]) ).

tff(f26,plain,
    ? [X0: $int] :
      ( ~ ( ( true_1 = 'IsHeap'('Heap') )
         => ( ( true_1 = 'InRange'(x_in,'System_Int32') )
           => ( ( true_1 = 'InRange'(x_3,'System_Int32') )
             => ( ( true_1 = 'PurityAxiomsCanBeAssumed' )
               => ( ( nullObject = 'BeingConstructed' )
                 => ~ ( ~ ( ( 0 != 2 )
                         => ( ( stack0i_0 = X0 )
                           => ( ~ ( $less(0,0)
                                  | $less(0,0) )
                             => ~ ( ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( 0 != stack0i_0 )
                                       => ( ~ ( $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( false_1 = stack0b_0 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ( ! [X1: $int,X2: $int] :
                                                                  ? [X3: $int,X4: $int,X5: $int] :
                                                                    ( ( ~ ( ~ ( ( select2('Heap',X5,localinv) = 'BaseClass'(X4) )
                                                                              | ( true_1 != x(select2('Heap',X5,inv),X4) )
                                                                              | ( 'PeerGroupPlaceholder' = X4 ) )
                                                                          | ( true_1 != select2('Heap',X1,allocated) )
                                                                          | ( nullObject = X1 )
                                                                          | ( true_1 != 'IncludeInMainFrameCondition'(X2) ) )
                                                                     => ( X3 = X3 ) )
                                                                    & ( select2('Heap',X1,ownerRef) = X5 )
                                                                    & ( select2('Heap',X1,ownerFrame) = X4 )
                                                                    & ( select2('Heap',X1,X2) = X3 ) )
                                                               => ~ ( ~ ( ( ( true_1 = stack0b_0 )
                                                                        <=> ( 0 = X0 ) )
                                                                       => $true )
                                                                    | ~ ( ( true_1 = stack0b_0 )
                                                                      <=> ( 0 = X0 ) ) ) )
                                                            | ~ ! [X6: $int,X7: $int] :
                                                                ? [X8: $int,X9: $int,X10: $int] :
                                                                  ( ( ~ ( ~ ( ( select2('Heap',X10,localinv) = 'BaseClass'(X9) )
                                                                            | ( true_1 != x(select2('Heap',X10,inv),X9) )
                                                                            | ( 'PeerGroupPlaceholder' = X9 ) )
                                                                        | ( true_1 != select2('Heap',X6,allocated) )
                                                                        | ( nullObject = X6 )
                                                                        | ( true_1 != 'IncludeInMainFrameCondition'(X7) ) )
                                                                   => ( X8 = X8 ) )
                                                                  & ( select2('Heap',X6,ownerRef) = X10 )
                                                                  & ( select2('Heap',X6,ownerFrame) = X9 )
                                                                  & ( select2('Heap',X6,X7) = X8 ) ) ) ) ) ) ) ) ) ) ) ) )
                                  | ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( 0 = stack0i_0 )
                                       => ( ~ ( $less(0,0)
                                              | $less(0,0)
                                              | $less(0,stack0i_0)
                                              | $less(stack0i_0,0) )
                                         => ( ~ ( $less(0,0)
                                                | $less(0,0)
                                                | $less(0,stack0i_0)
                                                | $less(stack0i_0,0) )
                                           => ( ~ ( $less(0,0)
                                                  | $less(0,0)
                                                  | $less(0,stack0i_0)
                                                  | $less(stack0i_0,0) )
                                             => ( ( true_1 = stack0b_0 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ( ! [X11: $int,X12: $int] :
                                                                  ? [X13: $int,X14: $int,X15: $int] :
                                                                    ( ( ~ ( ~ ( ( select2('Heap',X15,localinv) = 'BaseClass'(X14) )
                                                                              | ( true_1 != x(select2('Heap',X15,inv),X14) )
                                                                              | ( 'PeerGroupPlaceholder' = X14 ) )
                                                                          | ( true_1 != select2('Heap',X11,allocated) )
                                                                          | ( nullObject = X11 )
                                                                          | ( true_1 != 'IncludeInMainFrameCondition'(X12) ) )
                                                                     => ( X13 = X13 ) )
                                                                    & ( select2('Heap',X11,ownerRef) = X15 )
                                                                    & ( select2('Heap',X11,ownerFrame) = X14 )
                                                                    & ( select2('Heap',X11,X12) = X13 ) )
                                                               => ~ ( ~ ( ( ( true_1 = stack0b_0 )
                                                                        <=> ( 0 = X0 ) )
                                                                       => $true )
                                                                    | ~ ( ( true_1 = stack0b_0 )
                                                                      <=> ( 0 = X0 ) ) ) )
                                                            | ~ ! [X16: $int,X17: $int] :
                                                                ? [X18: $int,X19: $int,X20: $int] :
                                                                  ( ( ~ ( ~ ( ( select2('Heap',X20,localinv) = 'BaseClass'(X19) )
                                                                            | ( true_1 != x(select2('Heap',X20,inv),X19) )
                                                                            | ( 'PeerGroupPlaceholder' = X19 ) )
                                                                        | ( true_1 != select2('Heap',X16,allocated) )
                                                                        | ( nullObject = X16 )
                                                                        | ( true_1 != 'IncludeInMainFrameCondition'(X17) ) )
                                                                   => ( X18 = X18 ) )
                                                                  & ( select2('Heap',X16,ownerRef) = X20 )
                                                                  & ( select2('Heap',X16,ownerFrame) = X19 )
                                                                  & ( select2('Heap',X16,X17) = X18 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                      | ( 0 = 2 ) ) ) ) ) ) )
      & ( x_1(x_in,2) = X0 ) ),
    inference(rectify,[],[f5]) ).

tff(f5,plain,
    ? [X111: $int] :
      ( ~ ( ( true_1 = 'IsHeap'('Heap') )
         => ( ( true_1 = 'InRange'(x_in,'System_Int32') )
           => ( ( true_1 = 'InRange'(x_3,'System_Int32') )
             => ( ( true_1 = 'PurityAxiomsCanBeAssumed' )
               => ( ( nullObject = 'BeingConstructed' )
                 => ~ ( ~ ( ( 0 != 2 )
                         => ( ( stack0i_0 = X111 )
                           => ( ~ ( $less(0,0)
                                  | $less(0,0) )
                             => ~ ( ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( 0 != stack0i_0 )
                                       => ( ~ ( $less(0,0)
                                              | $less(0,0) )
                                         => ( ~ ( $less(0,0)
                                                | $less(0,0) )
                                           => ( ~ ( $less(0,0)
                                                  | $less(0,0) )
                                             => ( ( false_1 = stack0b_0 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ( ! [X112: $int,X113: $int] :
                                                                  ? [X123: $int,X124: $int,X125: $int] :
                                                                    ( ( ~ ( ~ ( ( select2('Heap',X125,localinv) = 'BaseClass'(X124) )
                                                                              | ( true_1 != x(select2('Heap',X125,inv),X124) )
                                                                              | ( 'PeerGroupPlaceholder' = X124 ) )
                                                                          | ( true_1 != select2('Heap',X112,allocated) )
                                                                          | ( nullObject = X112 )
                                                                          | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                                                                     => ( X123 = X123 ) )
                                                                    & ( select2('Heap',X112,ownerRef) = X125 )
                                                                    & ( select2('Heap',X112,ownerFrame) = X124 )
                                                                    & ( select2('Heap',X112,X113) = X123 ) )
                                                               => ~ ( ~ ( ( ( true_1 = stack0b_0 )
                                                                        <=> ( 0 = X111 ) )
                                                                       => $true )
                                                                    | ~ ( ( true_1 = stack0b_0 )
                                                                      <=> ( 0 = X111 ) ) ) )
                                                            | ~ ! [X112: $int,X113: $int] :
                                                                ? [X120: $int,X121: $int,X122: $int] :
                                                                  ( ( ~ ( ~ ( ( select2('Heap',X122,localinv) = 'BaseClass'(X121) )
                                                                            | ( true_1 != x(select2('Heap',X122,inv),X121) )
                                                                            | ( 'PeerGroupPlaceholder' = X121 ) )
                                                                        | ( true_1 != select2('Heap',X112,allocated) )
                                                                        | ( nullObject = X112 )
                                                                        | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                                                                   => ( X120 = X120 ) )
                                                                  & ( select2('Heap',X112,ownerRef) = X122 )
                                                                  & ( select2('Heap',X112,ownerFrame) = X121 )
                                                                  & ( select2('Heap',X112,X113) = X120 ) ) ) ) ) ) ) ) ) ) ) ) )
                                  | ~ ( ~ ( $less(0,0)
                                          | $less(0,0) )
                                     => ( ( 0 = stack0i_0 )
                                       => ( ~ ( $less(0,0)
                                              | $less(0,0)
                                              | $less(0,stack0i_0)
                                              | $less(stack0i_0,0) )
                                         => ( ~ ( $less(0,0)
                                                | $less(0,0)
                                                | $less(0,stack0i_0)
                                                | $less(stack0i_0,0) )
                                           => ( ~ ( $less(0,0)
                                                  | $less(0,0)
                                                  | $less(0,stack0i_0)
                                                  | $less(stack0i_0,0) )
                                             => ( ( true_1 = stack0b_0 )
                                               => ( ~ ( $less(0,0)
                                                      | $less(0,0) )
                                                 => ( ~ ( $less(0,0)
                                                        | $less(0,0) )
                                                   => ( ~ ( $less(0,0)
                                                          | $less(0,0) )
                                                     => ( ~ ( $less(0,0)
                                                            | $less(0,0) )
                                                       => ~ ( ~ ( ! [X112: $int,X113: $int] :
                                                                  ? [X117: $int,X118: $int,X119: $int] :
                                                                    ( ( ~ ( ~ ( ( select2('Heap',X119,localinv) = 'BaseClass'(X118) )
                                                                              | ( true_1 != x(select2('Heap',X119,inv),X118) )
                                                                              | ( 'PeerGroupPlaceholder' = X118 ) )
                                                                          | ( true_1 != select2('Heap',X112,allocated) )
                                                                          | ( nullObject = X112 )
                                                                          | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                                                                     => ( X117 = X117 ) )
                                                                    & ( select2('Heap',X112,ownerRef) = X119 )
                                                                    & ( select2('Heap',X112,ownerFrame) = X118 )
                                                                    & ( select2('Heap',X112,X113) = X117 ) )
                                                               => ~ ( ~ ( ( ( true_1 = stack0b_0 )
                                                                        <=> ( 0 = X111 ) )
                                                                       => $true )
                                                                    | ~ ( ( true_1 = stack0b_0 )
                                                                      <=> ( 0 = X111 ) ) ) )
                                                            | ~ ! [X112: $int,X113: $int] :
                                                                ? [X114: $int,X115: $int,X116: $int] :
                                                                  ( ( ~ ( ~ ( ( select2('Heap',X116,localinv) = 'BaseClass'(X115) )
                                                                            | ( true_1 != x(select2('Heap',X116,inv),X115) )
                                                                            | ( 'PeerGroupPlaceholder' = X115 ) )
                                                                        | ( true_1 != select2('Heap',X112,allocated) )
                                                                        | ( nullObject = X112 )
                                                                        | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                                                                   => ( X114 = X114 ) )
                                                                  & ( select2('Heap',X112,ownerRef) = X116 )
                                                                  & ( select2('Heap',X112,ownerFrame) = X115 )
                                                                  & ( select2('Heap',X112,X113) = X114 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                      | ( 0 = 2 ) ) ) ) ) ) )
      & ( x_1(x_in,2) = X111 ) ),
    inference(theory_normalization,[],[f3]) ).

tff(f3,axiom,
    ? [X111: $int] :
      ( ~ ( ( true_1 = 'IsHeap'('Heap') )
         => ( ( true_1 = 'InRange'(x_in,'System_Int32') )
           => ( ( true_1 = 'InRange'(x_3,'System_Int32') )
             => ( ( true_1 = 'PurityAxiomsCanBeAssumed' )
               => ( ( nullObject = 'BeingConstructed' )
                 => ~ ( ~ ( ( 0 != 2 )
                         => ( ( stack0i_0 = X111 )
                           => ( ~ ( ~ $lesseq(0,0)
                                  | ~ $lesseq(0,0) )
                             => ~ ( ~ ( ~ ( ~ $lesseq(0,0)
                                          | ~ $lesseq(0,0) )
                                     => ( ( 0 != stack0i_0 )
                                       => ( ~ ( ~ $lesseq(0,0)
                                              | ~ $lesseq(0,0) )
                                         => ( ~ ( ~ $lesseq(0,0)
                                                | ~ $lesseq(0,0) )
                                           => ( ~ ( ~ $lesseq(0,0)
                                                  | ~ $lesseq(0,0) )
                                             => ( ( false_1 = stack0b_0 )
                                               => ( ~ ( ~ $lesseq(0,0)
                                                      | ~ $lesseq(0,0) )
                                                 => ( ~ ( ~ $lesseq(0,0)
                                                        | ~ $lesseq(0,0) )
                                                   => ( ~ ( ~ $lesseq(0,0)
                                                          | ~ $lesseq(0,0) )
                                                     => ( ~ ( ~ $lesseq(0,0)
                                                            | ~ $lesseq(0,0) )
                                                       => ~ ( ~ ( ! [X112: $int,X113: $int] :
                                                                  ? [X123: $int,X124: $int,X125: $int] :
                                                                    ( ( ~ ( ~ ( ( select2('Heap',X125,localinv) = 'BaseClass'(X124) )
                                                                              | ( true_1 != x(select2('Heap',X125,inv),X124) )
                                                                              | ( 'PeerGroupPlaceholder' = X124 ) )
                                                                          | ( true_1 != select2('Heap',X112,allocated) )
                                                                          | ( nullObject = X112 )
                                                                          | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                                                                     => ( X123 = X123 ) )
                                                                    & ( select2('Heap',X112,ownerRef) = X125 )
                                                                    & ( select2('Heap',X112,ownerFrame) = X124 )
                                                                    & ( select2('Heap',X112,X113) = X123 ) )
                                                               => ~ ( ~ ( ( ( true_1 = stack0b_0 )
                                                                        <=> ( 0 = X111 ) )
                                                                       => $true )
                                                                    | ~ ( ( true_1 = stack0b_0 )
                                                                      <=> ( 0 = X111 ) ) ) )
                                                            | ~ ! [X112: $int,X113: $int] :
                                                                ? [X120: $int,X121: $int,X122: $int] :
                                                                  ( ( ~ ( ~ ( ( select2('Heap',X122,localinv) = 'BaseClass'(X121) )
                                                                            | ( true_1 != x(select2('Heap',X122,inv),X121) )
                                                                            | ( 'PeerGroupPlaceholder' = X121 ) )
                                                                        | ( true_1 != select2('Heap',X112,allocated) )
                                                                        | ( nullObject = X112 )
                                                                        | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                                                                   => ( X120 = X120 ) )
                                                                  & ( select2('Heap',X112,ownerRef) = X122 )
                                                                  & ( select2('Heap',X112,ownerFrame) = X121 )
                                                                  & ( select2('Heap',X112,X113) = X120 ) ) ) ) ) ) ) ) ) ) ) ) )
                                  | ~ ( ~ ( ~ $lesseq(0,0)
                                          | ~ $lesseq(0,0) )
                                     => ( ( 0 = stack0i_0 )
                                       => ( ~ ( ~ $lesseq(0,0)
                                              | ~ $lesseq(0,0)
                                              | ~ $lesseq(stack0i_0,0)
                                              | ~ $lesseq(0,stack0i_0) )
                                         => ( ~ ( ~ $lesseq(0,0)
                                                | ~ $lesseq(0,0)
                                                | ~ $lesseq(stack0i_0,0)
                                                | ~ $lesseq(0,stack0i_0) )
                                           => ( ~ ( ~ $lesseq(0,0)
                                                  | ~ $lesseq(0,0)
                                                  | ~ $lesseq(stack0i_0,0)
                                                  | ~ $lesseq(0,stack0i_0) )
                                             => ( ( true_1 = stack0b_0 )
                                               => ( ~ ( ~ $lesseq(0,0)
                                                      | ~ $lesseq(0,0) )
                                                 => ( ~ ( ~ $lesseq(0,0)
                                                        | ~ $lesseq(0,0) )
                                                   => ( ~ ( ~ $lesseq(0,0)
                                                          | ~ $lesseq(0,0) )
                                                     => ( ~ ( ~ $lesseq(0,0)
                                                            | ~ $lesseq(0,0) )
                                                       => ~ ( ~ ( ! [X112: $int,X113: $int] :
                                                                  ? [X117: $int,X118: $int,X119: $int] :
                                                                    ( ( ~ ( ~ ( ( select2('Heap',X119,localinv) = 'BaseClass'(X118) )
                                                                              | ( true_1 != x(select2('Heap',X119,inv),X118) )
                                                                              | ( 'PeerGroupPlaceholder' = X118 ) )
                                                                          | ( true_1 != select2('Heap',X112,allocated) )
                                                                          | ( nullObject = X112 )
                                                                          | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                                                                     => ( X117 = X117 ) )
                                                                    & ( select2('Heap',X112,ownerRef) = X119 )
                                                                    & ( select2('Heap',X112,ownerFrame) = X118 )
                                                                    & ( select2('Heap',X112,X113) = X117 ) )
                                                               => ~ ( ~ ( ( ( true_1 = stack0b_0 )
                                                                        <=> ( 0 = X111 ) )
                                                                       => $true )
                                                                    | ~ ( ( true_1 = stack0b_0 )
                                                                      <=> ( 0 = X111 ) ) ) )
                                                            | ~ ! [X112: $int,X113: $int] :
                                                                ? [X114: $int,X115: $int,X116: $int] :
                                                                  ( ( ~ ( ~ ( ( select2('Heap',X116,localinv) = 'BaseClass'(X115) )
                                                                            | ( true_1 != x(select2('Heap',X116,inv),X115) )
                                                                            | ( 'PeerGroupPlaceholder' = X115 ) )
                                                                        | ( true_1 != select2('Heap',X112,allocated) )
                                                                        | ( nullObject = X112 )
                                                                        | ( true_1 != 'IncludeInMainFrameCondition'(X113) ) )
                                                                   => ( X114 = X114 ) )
                                                                  & ( select2('Heap',X112,ownerRef) = X116 )
                                                                  & ( select2('Heap',X112,ownerFrame) = X115 )
                                                                  & ( select2('Heap',X112,X113) = X114 ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                      | ( 0 = 2 ) ) ) ) ) ) )
      & ( x_1(x_in,2) = X111 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2904,plain,
    ( ~ spl72_7
    | ~ spl72_2 ),
    inference(avatar_split_clause,[],[f2903,f2591,f2618]) ).

tff(f2618,plain,
    ( spl72_7
  <=> ( false_1 = stack0b_0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).

tff(f2591,plain,
    ( spl72_2
  <=> ( 'PurityAxiomsCanBeAssumed' = stack0b_0 ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).

tff(f2903,plain,
    ( ( false_1 != stack0b_0 )
    | ~ spl72_2 ),
    inference(superposition,[],[f1574,f2593]) ).

tff(f2593,plain,
    ( ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
    | ~ spl72_2 ),
    inference(avatar_component_clause,[],[f2591]) ).

tff(f1574,plain,
    false_1 != 'PurityAxiomsCanBeAssumed',
    inference(definition_unfolding,[],[f68,f224]) ).

tff(f224,plain,
    true_1 = 'PurityAxiomsCanBeAssumed',
    inference(cnf_transformation,[],[f31]) ).

tff(f68,plain,
    true_1 != false_1,
    inference(cnf_transformation,[],[f29]) ).

tff(f29,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( X0 = X1 )
        | ( true_1 != x(X1,X0) )
        | ( true_1 != x(X0,X1) ) )
    & ! [X2: $int,X3: $int,X4: $int] :
        ( ( true_1 = x(X2,X4) )
        | ( true_1 != x(X3,X4) )
        | ( true_1 != x(X2,X3) ) )
    & ! [X5: $int] : ( true_1 = x(X5,X5) )
    & ( true_1 != false_1 )
    & ! [X6: $int,X7: $int] :
        ( ( true_1 = intGreater(X6,X7) )
      <=> $less(X7,X6) )
    & ! [X8: $int,X9: $int] :
        ( ( true_1 = intAtLeast(X8,X9) )
      <=> ~ $less(X8,X9) )
    & ! [X10: $int,X11: $int] :
        ( ( true_1 = intAtMost(X10,X11) )
      <=> ~ $less(X11,X10) )
    & ! [X12: $int,X13: $int] :
        ( ( true_1 = intLess(X12,X13) )
      <=> $less(X12,X13) )
    & ! [X14: $int,X15: $int] :
        ( ( true_1 = anyNeq(X14,X15) )
      <=> ( X14 != X15 ) )
    & ! [X16: $int,X17: $int] :
        ( ( true_1 = anyEqual(X16,X17) )
      <=> ( X16 = X17 ) )
    & ! [X18: $int] :
        ( ( true_1 = boolNot(X18) )
      <=> ( true_1 != X18 ) )
    & ! [X19: $int,X20: $int] :
        ( ( true_1 = boolOr(X19,X20) )
      <=> ( ( true_1 = X20 )
          | ( true_1 = X19 ) ) )
    & ! [X21: $int,X22: $int] :
        ( ( true_1 = boolAnd(X21,X22) )
      <=> ( ( true_1 = X22 )
          & ( true_1 = X21 ) ) )
    & ! [X23: $int,X24: $int] :
        ( ( true_1 = boolImplies(X23,X24) )
      <=> ( ( true_1 = X24 )
          | ( true_1 != X23 ) ) )
    & ! [X25: $int,X26: $int] :
        ( ( true_1 = boolIff(X25,X26) )
      <=> ( ( true_1 = X25 )
        <=> ( true_1 = X26 ) ) )
    & ! [X27: $int,X28: $int,X29: $int,X30: $int,X31: $int,X32: $int] :
        ( ( select2(store2(X27,X28,X29,X32),X30,X31) = select2(X27,X30,X31) )
        | ( X29 = X31 ) )
    & ! [X33: $int,X34: $int,X35: $int,X36: $int,X37: $int,X38: $int] :
        ( ( select2(store2(X33,X34,X35,X38),X36,X37) = select2(X33,X36,X37) )
        | ( X34 = X36 ) )
    & ! [X39: $int,X40: $int,X41: $int,X42: $int] : ( select2(store2(X39,X40,X41,X42),X40,X41) = X42 )
    & ! [X43: $int,X44: $int,X45: $int,X46: $int] :
        ( ( select1(store1(X43,X44,X46),X45) = select1(X43,X45) )
        | ( X44 = X45 ) )
    & ! [X47: $int,X48: $int,X49: $int] : ( select1(store1(X47,X48,X49),X48) = X49 ) ),
    inference(flattening,[],[f28]) ).

tff(f28,plain,
    ( ! [X0: $int,X1: $int] :
        ( ( X0 = X1 )
        | ( true_1 != x(X1,X0) )
        | ( true_1 != x(X0,X1) ) )
    & ! [X2: $int,X3: $int,X4: $int] :
        ( ( true_1 = x(X2,X4) )
        | ( true_1 != x(X3,X4) )
        | ( true_1 != x(X2,X3) ) )
    & ! [X5: $int] : ( true_1 = x(X5,X5) )
    & ( true_1 != false_1 )
    & ! [X6: $int,X7: $int] :
        ( ( true_1 = intGreater(X6,X7) )
      <=> $less(X7,X6) )
    & ! [X8: $int,X9: $int] :
        ( ( true_1 = intAtLeast(X8,X9) )
      <=> ~ $less(X8,X9) )
    & ! [X10: $int,X11: $int] :
        ( ( true_1 = intAtMost(X10,X11) )
      <=> ~ $less(X11,X10) )
    & ! [X12: $int,X13: $int] :
        ( ( true_1 = intLess(X12,X13) )
      <=> $less(X12,X13) )
    & ! [X14: $int,X15: $int] :
        ( ( true_1 = anyNeq(X14,X15) )
      <=> ( X14 != X15 ) )
    & ! [X16: $int,X17: $int] :
        ( ( true_1 = anyEqual(X16,X17) )
      <=> ( X16 = X17 ) )
    & ! [X18: $int] :
        ( ( true_1 = boolNot(X18) )
      <=> ( true_1 != X18 ) )
    & ! [X19: $int,X20: $int] :
        ( ( true_1 = boolOr(X19,X20) )
      <=> ( ( true_1 = X20 )
          | ( true_1 = X19 ) ) )
    & ! [X21: $int,X22: $int] :
        ( ( true_1 = boolAnd(X21,X22) )
      <=> ( ( true_1 = X22 )
          & ( true_1 = X21 ) ) )
    & ! [X23: $int,X24: $int] :
        ( ( true_1 = boolImplies(X23,X24) )
      <=> ( ( true_1 = X24 )
          | ( true_1 != X23 ) ) )
    & ! [X25: $int,X26: $int] :
        ( ( true_1 = boolIff(X25,X26) )
      <=> ( ( true_1 = X25 )
        <=> ( true_1 = X26 ) ) )
    & ! [X27: $int,X28: $int,X29: $int,X30: $int,X31: $int,X32: $int] :
        ( ( select2(store2(X27,X28,X29,X32),X30,X31) = select2(X27,X30,X31) )
        | ( X29 = X31 ) )
    & ! [X33: $int,X34: $int,X35: $int,X36: $int,X37: $int,X38: $int] :
        ( ( select2(store2(X33,X34,X35,X38),X36,X37) = select2(X33,X36,X37) )
        | ( X34 = X36 ) )
    & ! [X39: $int,X40: $int,X41: $int,X42: $int] : ( select2(store2(X39,X40,X41,X42),X40,X41) = X42 )
    & ! [X43: $int,X44: $int,X45: $int,X46: $int] :
        ( ( select1(store1(X43,X44,X46),X45) = select1(X43,X45) )
        | ( X44 = X45 ) )
    & ! [X47: $int,X48: $int,X49: $int] : ( select1(store1(X47,X48,X49),X48) = X49 ) ),
    inference(ennf_transformation,[],[f25]) ).

tff(f25,plain,
    ~ ( ~ ! [X0: $int,X1: $int] :
            ( ~ ( ( true_1 != x(X1,X0) )
                | ( true_1 != x(X0,X1) ) )
           => ( X0 = X1 ) )
      | ~ ! [X2: $int,X3: $int,X4: $int] :
            ( ~ ( ( true_1 != x(X3,X4) )
                | ( true_1 != x(X2,X3) ) )
           => ( true_1 = x(X2,X4) ) )
      | ~ ! [X5: $int] : ( true_1 = x(X5,X5) )
      | ( true_1 = false_1 )
      | ~ ! [X6: $int,X7: $int] :
            ( ( true_1 = intGreater(X6,X7) )
          <=> $less(X7,X6) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intAtLeast(X8,X9) )
          <=> ~ $less(X8,X9) )
      | ~ ! [X10: $int,X11: $int] :
            ( ( true_1 = intAtMost(X10,X11) )
          <=> ~ $less(X11,X10) )
      | ~ ! [X12: $int,X13: $int] :
            ( ( true_1 = intLess(X12,X13) )
          <=> $less(X12,X13) )
      | ~ ! [X14: $int,X15: $int] :
            ( ( true_1 = anyNeq(X14,X15) )
          <=> ( X14 != X15 ) )
      | ~ ! [X16: $int,X17: $int] :
            ( ( true_1 = anyEqual(X16,X17) )
          <=> ( X16 = X17 ) )
      | ~ ! [X18: $int] :
            ( ( true_1 = boolNot(X18) )
          <=> ( true_1 != X18 ) )
      | ~ ! [X19: $int,X20: $int] :
            ( ( true_1 = boolOr(X19,X20) )
          <=> ( ( true_1 = X20 )
              | ( true_1 = X19 ) ) )
      | ~ ! [X21: $int,X22: $int] :
            ( ( true_1 = boolAnd(X21,X22) )
          <=> ~ ( ( true_1 != X22 )
                | ( true_1 != X21 ) ) )
      | ~ ! [X23: $int,X24: $int] :
            ( ( true_1 = boolImplies(X23,X24) )
          <=> ( ( true_1 = X23 )
             => ( true_1 = X24 ) ) )
      | ~ ! [X25: $int,X26: $int] :
            ( ( true_1 = boolIff(X25,X26) )
          <=> ( ( true_1 = X25 )
            <=> ( true_1 = X26 ) ) )
      | ~ ! [X27: $int,X28: $int,X29: $int,X30: $int,X31: $int,X32: $int] :
            ( ( X29 != X31 )
           => ( select2(store2(X27,X28,X29,X32),X30,X31) = select2(X27,X30,X31) ) )
      | ~ ! [X33: $int,X34: $int,X35: $int,X36: $int,X37: $int,X38: $int] :
            ( ( X34 != X36 )
           => ( select2(store2(X33,X34,X35,X38),X36,X37) = select2(X33,X36,X37) ) )
      | ~ ! [X39: $int,X40: $int,X41: $int,X42: $int] : ( select2(store2(X39,X40,X41,X42),X40,X41) = X42 )
      | ~ ! [X43: $int,X44: $int,X45: $int,X46: $int] :
            ( ( X44 != X45 )
           => ( select1(store1(X43,X44,X46),X45) = select1(X43,X45) ) )
      | ~ ! [X47: $int,X48: $int,X49: $int] : ( select1(store1(X47,X48,X49),X48) = X49 ) ),
    inference(rectify,[],[f4]) ).

tff(f4,plain,
    ~ ( ~ ! [X10: $int,X11: $int] :
            ( ~ ( ( true_1 != x(X11,X10) )
                | ( true_1 != x(X10,X11) ) )
           => ( X10 = X11 ) )
      | ~ ! [X10: $int,X11: $int,X2: $int] :
            ( ~ ( ( true_1 != x(X11,X2) )
                | ( true_1 != x(X10,X11) ) )
           => ( true_1 = x(X10,X2) ) )
      | ~ ! [X10: $int] : ( true_1 = x(X10,X10) )
      | ( true_1 = false_1 )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intGreater(X8,X9) )
          <=> $less(X9,X8) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intAtLeast(X8,X9) )
          <=> ~ $less(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intAtMost(X8,X9) )
          <=> ~ $less(X9,X8) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intLess(X8,X9) )
          <=> $less(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = anyNeq(X8,X9) )
          <=> ( X8 != X9 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = anyEqual(X8,X9) )
          <=> ( X8 = X9 ) )
      | ~ ! [X8: $int] :
            ( ( true_1 = boolNot(X8) )
          <=> ( true_1 != X8 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = boolOr(X8,X9) )
          <=> ( ( true_1 = X9 )
              | ( true_1 = X8 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = boolAnd(X8,X9) )
          <=> ~ ( ( true_1 != X9 )
                | ( true_1 != X8 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = boolImplies(X8,X9) )
          <=> ( ( true_1 = X8 )
             => ( true_1 = X9 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolIff(X8,X9) = true_1 )
          <=> ( ( true_1 = X8 )
            <=> ( true_1 = X9 ) ) )
      | ~ ! [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) ) )
      | ~ ! [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,X2: $int] : ( select2(store2(X0,X4,X5,X2),X4,X5) = X2 )
      | ~ ! [X0: $int,X1: $int,X3: $int,X2: $int] :
            ( ( X1 != X3 )
           => ( select1(store1(X0,X1,X2),X3) = select1(X0,X3) ) )
      | ~ ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 ) ),
    inference(theory_normalization,[],[f1]) ).

tff(f1,axiom,
    ~ ( ~ ! [X10: $int,X11: $int] :
            ( ~ ( ( true_1 != x(X11,X10) )
                | ( true_1 != x(X10,X11) ) )
           => ( X10 = X11 ) )
      | ~ ! [X10: $int,X11: $int,X2: $int] :
            ( ~ ( ( true_1 != x(X11,X2) )
                | ( true_1 != x(X10,X11) ) )
           => ( true_1 = x(X10,X2) ) )
      | ~ ! [X10: $int] : ( true_1 = x(X10,X10) )
      | ( true_1 = false_1 )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intGreater(X8,X9) )
          <=> $greater(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intAtLeast(X8,X9) )
          <=> $greatereq(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intAtMost(X8,X9) )
          <=> $lesseq(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = intLess(X8,X9) )
          <=> $less(X8,X9) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = anyNeq(X8,X9) )
          <=> ( X8 != X9 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = anyEqual(X8,X9) )
          <=> ( X8 = X9 ) )
      | ~ ! [X8: $int] :
            ( ( true_1 = boolNot(X8) )
          <=> ( true_1 != X8 ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = boolOr(X8,X9) )
          <=> ( ( true_1 = X9 )
              | ( true_1 = X8 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = boolAnd(X8,X9) )
          <=> ~ ( ( true_1 != X9 )
                | ( true_1 != X8 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( true_1 = boolImplies(X8,X9) )
          <=> ( ( true_1 = X8 )
             => ( true_1 = X9 ) ) )
      | ~ ! [X8: $int,X9: $int] :
            ( ( boolIff(X8,X9) = true_1 )
          <=> ( ( true_1 = X8 )
            <=> ( true_1 = X9 ) ) )
      | ~ ! [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) ) )
      | ~ ! [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,X2: $int] : ( select2(store2(X0,X4,X5,X2),X4,X5) = X2 )
      | ~ ! [X0: $int,X1: $int,X3: $int,X2: $int] :
            ( ( X1 != X3 )
           => ( select1(store1(X0,X1,X2),X3) = select1(X0,X3) ) )
      | ~ ! [X0: $int,X1: $int,X2: $int] : ( select1(store1(X0,X1,X2),X1) = X2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).

tff(f2810,plain,
    ( spl72_1
    | spl72_5
    | ~ spl72_22 ),
    inference(avatar_contradiction_clause,[],[f2809]) ).

tff(f2809,plain,
    ( $false
    | spl72_1
    | spl72_5
    | ~ spl72_22 ),
    inference(subsumption_resolution,[],[f2808,f2611]) ).

tff(f2611,plain,
    ( ( 0 != stack0i_0 )
    | spl72_5 ),
    inference(avatar_component_clause,[],[f2610]) ).

tff(f2808,plain,
    ( ( 0 = stack0i_0 )
    | spl72_1
    | ~ spl72_22 ),
    inference(resolution,[],[f2715,f2802]) ).

tff(f2802,plain,
    ( ~ sP1(stack0i_0)
    | spl72_1 ),
    inference(backward_demodulation,[],[f2589,f2585]) ).

tff(f2589,plain,
    ( ~ sP1(sK0)
    | spl72_1 ),
    inference(avatar_component_clause,[],[f2587]) ).

tff(f2587,plain,
    ( spl72_1
  <=> sP1(sK0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).

tff(f2715,plain,
    ( ! [X0: $int] :
        ( sP1(X0)
        | ( 0 = X0 ) )
    | ~ spl72_22 ),
    inference(avatar_component_clause,[],[f2714]) ).

tff(f2714,plain,
    ( spl72_22
  <=> ! [X0: $int] :
        ( ( 0 = X0 )
        | sP1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_22])]) ).

tff(f2801,plain,
    ( spl72_1
    | ~ spl72_6 ),
    inference(avatar_contradiction_clause,[],[f2800]) ).

tff(f2800,plain,
    ( $false
    | spl72_1
    | ~ spl72_6 ),
    inference(subsumption_resolution,[],[f2589,f2616]) ).

tff(f2616,plain,
    ( ! [X0: $int] : sP1(X0)
    | ~ spl72_6 ),
    inference(avatar_component_clause,[],[f2615]) ).

tff(f2615,plain,
    ( spl72_6
  <=> ! [X0: $int] : sP1(X0) ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).

tff(f2716,plain,
    ( spl72_2
    | spl72_22 ),
    inference(avatar_split_clause,[],[f2534,f2714,f2591]) ).

tff(f2534,plain,
    ! [X0: $int] :
      ( ( 0 = X0 )
      | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
      | sP1(X0) ),
    inference(trivial_inequality_removal,[],[f2438]) ).

tff(f2438,plain,
    ! [X0: $int] :
      ( ( select2('Heap',sK4,sK5) != select2('Heap',sK4,sK5) )
      | ( 0 = X0 )
      | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
      | sP1(X0) ),
    inference(consistent_polarity_flipping,[],[f2143]) ).

tff(f2143,plain,
    ! [X0: $int] :
      ( ( select2('Heap',sK4,sK5) != select2('Heap',sK4,sK5) )
      | ( 0 = X0 )
      | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
      | ~ sP1(X0) ),
    inference(equality_resolution,[],[f2142]) ).

tff(f2142,plain,
    ! [X10: $int,X0: $int] :
      ( ( select2('Heap',sK4,ownerRef) != X10 )
      | ( select2('Heap',sK4,sK5) != select2('Heap',sK4,sK5) )
      | ( 0 = X0 )
      | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
      | ~ sP1(X0) ),
    inference(equality_resolution,[],[f2141]) ).

tff(f2141,plain,
    ! [X10: $int,X0: $int,X9: $int] :
      ( ( select2('Heap',sK4,ownerFrame) != X9 )
      | ( select2('Heap',sK4,ownerRef) != X10 )
      | ( select2('Heap',sK4,sK5) != select2('Heap',sK4,sK5) )
      | ( 0 = X0 )
      | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
      | ~ sP1(X0) ),
    inference(equality_resolution,[],[f1643]) ).

tff(f1643,plain,
    ! [X10: $int,X0: $int,X8: $int,X9: $int] :
      ( ( select2('Heap',sK4,sK5) != X8 )
      | ( select2('Heap',sK4,ownerFrame) != X9 )
      | ( select2('Heap',sK4,ownerRef) != X10 )
      | ( X8 != X8 )
      | ( 0 = X0 )
      | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
      | ~ sP1(X0) ),
    inference(definition_unfolding,[],[f136,f224]) ).

tff(f136,plain,
    ! [X10: $int,X0: $int,X8: $int,X9: $int] :
      ( ( select2('Heap',sK4,sK5) != X8 )
      | ( select2('Heap',sK4,ownerFrame) != X9 )
      | ( select2('Heap',sK4,ownerRef) != X10 )
      | ( X8 != X8 )
      | ( 0 = X0 )
      | ( true_1 = stack0b_0 )
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f2712,plain,
    spl72_13,
    inference(avatar_split_clause,[],[f2437,f2648]) ).

tff(f2648,plain,
    ( spl72_13
  <=> sP10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).

tff(f2437,plain,
    sP10,
    inference(consistent_polarity_flipping,[],[f137]) ).

tff(f137,plain,
    ~ sP10,
    inference(cnf_transformation,[],[f31]) ).

tff(f2651,plain,
    ( ~ spl72_1
    | ~ spl72_13
    | ~ spl72_2
    | ~ spl72_9 ),
    inference(avatar_split_clause,[],[f2571,f2628,f2591,f2648,f2587]) ).

tff(f2571,plain,
    ( ( 0 != sK0 )
    | ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
    | ~ sP10
    | ~ sP1(sK0) ),
    inference(evaluation,[],[f2570]) ).

tff(f2570,plain,
    ( ( 0 = 2 )
    | ( 0 != sK0 )
    | ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
    | ~ sP10
    | ~ sP1(sK0) ),
    inference(trivial_inequality_removal,[],[f2404]) ).

tff(f2404,plain,
    ( ( 0 = 2 )
    | ( select2('Heap',sK2,sK3) != select2('Heap',sK2,sK3) )
    | ( 0 != sK0 )
    | ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
    | ~ sP10
    | ~ sP1(sK0) ),
    inference(consistent_polarity_flipping,[],[f2049]) ).

tff(f2049,plain,
    ( ( 0 = 2 )
    | ( select2('Heap',sK2,sK3) != select2('Heap',sK2,sK3) )
    | ( 0 != sK0 )
    | ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
    | sP10
    | sP1(sK0) ),
    inference(equality_resolution,[],[f2048]) ).

tff(f2048,plain,
    ! [X20: $int] :
      ( ( 0 = 2 )
      | ( select2('Heap',sK2,ownerRef) != X20 )
      | ( select2('Heap',sK2,sK3) != select2('Heap',sK2,sK3) )
      | ( 0 != sK0 )
      | ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
      | sP10
      | sP1(sK0) ),
    inference(equality_resolution,[],[f2047]) ).

tff(f2047,plain,
    ! [X19: $int,X20: $int] :
      ( ( 0 = 2 )
      | ( select2('Heap',sK2,ownerFrame) != X19 )
      | ( select2('Heap',sK2,ownerRef) != X20 )
      | ( select2('Heap',sK2,sK3) != select2('Heap',sK2,sK3) )
      | ( 0 != sK0 )
      | ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
      | sP10
      | sP1(sK0) ),
    inference(equality_resolution,[],[f1613]) ).

tff(f1613,plain,
    ! [X18: $int,X19: $int,X20: $int] :
      ( ( 0 = 2 )
      | ( select2('Heap',sK2,sK3) != X18 )
      | ( select2('Heap',sK2,ownerFrame) != X19 )
      | ( select2('Heap',sK2,ownerRef) != X20 )
      | ( X18 != X18 )
      | ( 0 != sK0 )
      | ( 'PurityAxiomsCanBeAssumed' != stack0b_0 )
      | sP10
      | sP1(sK0) ),
    inference(definition_unfolding,[],[f170,f224]) ).

tff(f170,plain,
    ! [X18: $int,X19: $int,X20: $int] :
      ( ( 0 = 2 )
      | ( select2('Heap',sK2,sK3) != X18 )
      | ( select2('Heap',sK2,ownerFrame) != X19 )
      | ( select2('Heap',sK2,ownerRef) != X20 )
      | ( X18 != X18 )
      | ( 0 != sK0 )
      | ( true_1 != stack0b_0 )
      | sP10
      | sP1(sK0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f2622,plain,
    ( spl72_6
    | ~ spl72_5 ),
    inference(avatar_split_clause,[],[f2397,f2610,f2615]) ).

tff(f2397,plain,
    ! [X0: $int] :
      ( ( 0 != stack0i_0 )
      | sP1(X0) ),
    inference(consistent_polarity_flipping,[],[f177]) ).

tff(f177,plain,
    ! [X0: $int] :
      ( ( 0 != stack0i_0 )
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f2621,plain,
    ( spl72_6
    | spl72_7 ),
    inference(avatar_split_clause,[],[f2390,f2618,f2615]) ).

tff(f2390,plain,
    ! [X0: $int] :
      ( ( false_1 = stack0b_0 )
      | sP1(X0) ),
    inference(consistent_polarity_flipping,[],[f184]) ).

tff(f184,plain,
    ! [X0: $int] :
      ( ( false_1 = stack0b_0 )
      | ~ sP1(X0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f2613,plain,
    ( ~ spl72_1
    | spl72_5 ),
    inference(avatar_split_clause,[],[f2577,f2610,f2587]) ).

tff(f2577,plain,
    ( ( 0 = stack0i_0 )
    | ~ sP1(sK0) ),
    inference(evaluation,[],[f2379]) ).

tff(f2379,plain,
    ( ( 0 = 2 )
    | ( 0 = stack0i_0 )
    | ~ sP1(sK0) ),
    inference(consistent_polarity_flipping,[],[f195]) ).

tff(f195,plain,
    ( ( 0 = 2 )
    | ( 0 = stack0i_0 )
    | sP1(sK0) ),
    inference(cnf_transformation,[],[f31]) ).

tff(f2594,plain,
    ( ~ spl72_1
    | spl72_2 ),
    inference(avatar_split_clause,[],[f2584,f2591,f2587]) ).

tff(f2584,plain,
    ( ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
    | ~ sP1(sK0) ),
    inference(evaluation,[],[f2366]) ).

tff(f2366,plain,
    ( ( 0 = 2 )
    | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
    | ~ sP1(sK0) ),
    inference(consistent_polarity_flipping,[],[f1608]) ).

tff(f1608,plain,
    ( ( 0 = 2 )
    | ( 'PurityAxiomsCanBeAssumed' = stack0b_0 )
    | sP1(sK0) ),
    inference(definition_unfolding,[],[f208,f224]) ).

tff(f208,plain,
    ( ( 0 = 2 )
    | ( true_1 = stack0b_0 )
    | sP1(sK0) ),
    inference(cnf_transformation,[],[f31]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13  % Problem    : SWW805_1 : TPTP v8.2.0. Released v7.0.0.
% 0.07/0.13  % Command    : run_vampire %s %d SAT
% 0.13/0.34  % Computer : n009.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Wed Jun 19 08:44:39 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.37  This is a TF0_UNS_EQU_ARI problem
% 0.13/0.37  Running first-order model finding
% 0.13/0.37  Running /export/starexec/sandbox/solver/bin/vampire --mode casc_sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.47  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47  % (9026)fmb+10_1:1_sil=256000:fmbss=23:fmbes=contour:newcnf=on:fmbsr=1.14:i=152523:nm=2:gsp=on:rp=on_0 on theBenchmark for (3000ds/152523Mi)
% 0.23/0.47  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47  % (9024)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:i=99418_0 on theBenchmark for (3000ds/99418Mi)
% 0.23/0.47  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47  % (9027)ott+21_1:1_sil=4000:i=104:fsd=on:fd=off:newcnf=on_0 on theBenchmark for (3000ds/104Mi)
% 0.23/0.47  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47  % (9028)ott+11_8:59_sil=16000:sp=occurrence:lsd=20:abs=on:i=146:aac=none:nm=16:fdi=10:rawr=on:nicw=on_0 on theBenchmark for (3000ds/146Mi)
% 0.23/0.47  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47  % (9029)ott-4_1:1_sil=4000:sp=reverse_arity:lcm=predicate:newcnf=on:i=115:bce=on:fd=off:fs=off:fsr=off_0 on theBenchmark for (3000ds/115Mi)
% 0.23/0.47  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47  % (9025)fmb+10_1:1_sil=256000:fmbes=contour:i=214858:bce=on_0 on theBenchmark for (3000ds/214858Mi)
% 0.23/0.47  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.47  % (9023)fmb+10_1:1_sil=256000:i=98885:tgt=full:fmbsr=1.3:fmbss=10_0 on theBenchmark for (3000ds/98885Mi)
% 0.23/0.49  % (9026)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.49  % (9026)Terminated due to inappropriate strategy.
% 0.23/0.49  % (9026)------------------------------
% 0.23/0.49  % (9026)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49  % (9026)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49  % (9026)Termination reason: Inappropriate
% 0.23/0.49  
% 0.23/0.49  % (9026)Memory used [KB]: 2245
% 0.23/0.49  % (9026)Time elapsed: 0.026 s
% 0.23/0.49  % (9026)Instructions burned: 51 (million)
% 0.23/0.49  % (9023)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.49  % (9023)Terminated due to inappropriate strategy.
% 0.23/0.49  % (9023)------------------------------
% 0.23/0.49  % (9023)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49  % (9023)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49  % (9023)Termination reason: Inappropriate
% 0.23/0.49  
% 0.23/0.49  % (9023)Memory used [KB]: 2311
% 0.23/0.49  % (9023)Time elapsed: 0.024 s
% 0.23/0.49  % (9023)Instructions burned: 48 (million)
% 0.23/0.49  % (9026)------------------------------
% 0.23/0.49  % (9026)------------------------------
% 0.23/0.49  % (9025)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.49  % (9023)------------------------------
% 0.23/0.49  % (9023)------------------------------
% 0.23/0.49  % (9025)Terminated due to inappropriate strategy.
% 0.23/0.49  % (9025)------------------------------
% 0.23/0.49  % (9025)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.49  % (9025)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.49  % (9025)Termination reason: Inappropriate
% 0.23/0.49  
% 0.23/0.49  % (9025)Memory used [KB]: 2375
% 0.23/0.49  % (9025)Time elapsed: 0.027 s
% 0.23/0.49  % (9025)Instructions burned: 54 (million)
% 0.23/0.49  % (9025)------------------------------
% 0.23/0.49  % (9025)------------------------------
% 0.23/0.52  % (9027)Instruction limit reached!
% 0.23/0.52  % (9027)------------------------------
% 0.23/0.52  % (9027)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (9027)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (9027)Termination reason: Time limit
% 0.23/0.52  % (9027)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (9027)Memory used [KB]: 2778
% 0.23/0.52  % (9027)Time elapsed: 0.054 s
% 0.23/0.52  % (9027)Instructions burned: 104 (million)
% 0.23/0.52  % (9029)Instruction limit reached!
% 0.23/0.52  % (9029)------------------------------
% 0.23/0.52  % (9029)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.52  % (9029)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.52  % (9029)Termination reason: Time limit
% 0.23/0.52  % (9029)Termination phase: Saturation
% 0.23/0.52  
% 0.23/0.52  % (9029)Memory used [KB]: 2980
% 0.23/0.52  % (9029)Time elapsed: 0.058 s
% 0.23/0.52  % (9029)Instructions burned: 116 (million)
% 0.23/0.55  % (9028)Instruction limit reached!
% 0.23/0.55  % (9028)------------------------------
% 0.23/0.55  % (9028)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.55  % (9028)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.55  % (9028)Termination reason: Time limit
% 0.23/0.55  % (9028)Termination phase: Saturation
% 0.23/0.55  
% 0.23/0.55  % (9028)Memory used [KB]: 3175
% 0.23/0.55  % (9028)Time elapsed: 0.080 s
% 0.23/0.55  % (9028)Instructions burned: 146 (million)
% 0.23/0.55  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.55  % (9030)dis+11_1:3_bsr=unit_only:sil=2000:rp=on:newcnf=on:i=404:kws=precedence:lsd=100_0 on theBenchmark for (2999ds/404Mi)
% 0.23/0.55  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.55  % (9031)ott-21_1:1_sil=4000:sp=const_frequency:i=175:fsr=off:fs=off:av=off_0 on theBenchmark for (2999ds/175Mi)
% 0.23/0.55  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.55  % (9032)ott+33_1:1_to=lpo:sil=8000:sp=weighted_frequency:rp=on:i=270:nm=3:fsr=off:sac=on_0 on theBenchmark for (2999ds/270Mi)
% 0.23/0.58  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.58  % (9033)ott+4_1:1_sil=2000:i=900:bd=off:fsr=off_0 on theBenchmark for (2998ds/900Mi)
% 0.23/0.58  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.58  % (9034)fmb+10_1:1_sil=8000:fde=unused:fmbes=contour:i=7859:nm=2:fmbswr=0_0 on theBenchmark for (2998ds/7859Mi)
% 0.23/0.61  % (9034)WARNING: trying to run FMB on interpreted or otherwise provably infinite-domain problem!
% 0.23/0.61  % (9034)Terminated due to inappropriate strategy.
% 0.23/0.61  % (9034)------------------------------
% 0.23/0.61  % (9034)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.23/0.61  % (9034)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.23/0.61  % (9034)Termination reason: Inappropriate
% 0.23/0.61  
% 0.23/0.61  % (9034)Memory used [KB]: 2268
% 0.23/0.61  % (9034)Time elapsed: 0.023 s
% 0.23/0.61  % (9034)Instructions burned: 44 (million)
% 0.23/0.61  % (9034)------------------------------
% 0.23/0.61  % (9034)------------------------------
% 0.23/0.61  % (9022)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.61  % (9035)ott+11_1:2_anc=none:sil=2000:sp=const_max:spb=units:s2a=on:i=2145:s2at=5.0:awrs=converge:awrsf=170:rawr=on:gs=on:fsr=off_0 on theBenchmark for (2998ds/2145Mi)
% 1.62/0.62  % (9030)First to succeed.
% 1.62/0.62  % (9030)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-9022"
% 1.62/0.62  % (9022)Running in auto input_syntax mode. Trying TPTP
% 1.62/0.62  % (9030)Refutation found. Thanks to Tanya!
% 1.62/0.62  % SZS status Unsatisfiable for theBenchmark
% 1.62/0.62  % SZS output start Proof for theBenchmark
% See solution above
% 1.62/0.62  % (9030)------------------------------
% 1.62/0.62  % (9030)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.62/0.62  % (9030)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.62/0.62  % (9030)Termination reason: Refutation
% 1.62/0.62  
% 1.62/0.62  % (9030)Memory used [KB]: 3008
% 1.62/0.62  % (9030)Time elapsed: 0.068 s
% 1.62/0.62  % (9030)Instructions burned: 125 (million)
% 1.62/0.62  % (9030)------------------------------
% 1.62/0.62  % (9030)------------------------------
% 1.62/0.62  % (9022)Success in time 0.205 s
%------------------------------------------------------------------------------