TSTP Solution File: SYN498+1 by SnakeForV-SAT---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV-SAT---1.0
% Problem  : SYN498+1 : TPTP v8.1.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s

% Computer : n026.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 : Wed Aug 31 19:38:32 EDT 2022

% Result   : Theorem 2.19s 0.65s
% Output   : Refutation 2.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :  156
% Syntax   : Number of formulae    :  661 (   1 unt;   0 def)
%            Number of atoms       : 7501 (   0 equ)
%            Maximal formula atoms :  752 (  11 avg)
%            Number of connectives : 10155 (3315   ~;4788   |;1421   &)
%                                         ( 155 <=>; 476  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  120 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  192 ( 191 usr; 188 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   : 1029 (1029   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2310,plain,
    $false,
    inference(avatar_sat_refutation,[],[f269,f278,f287,f301,f318,f330,f348,f370,f379,f393,f402,f411,f420,f425,f430,f444,f445,f454,f461,f469,f491,f505,f513,f521,f526,f533,f538,f539,f548,f555,f559,f566,f571,f576,f584,f590,f595,f600,f603,f608,f609,f615,f620,f632,f637,f642,f647,f651,f656,f661,f666,f673,f680,f685,f688,f693,f698,f703,f708,f714,f719,f727,f737,f738,f740,f745,f750,f751,f756,f761,f771,f777,f782,f783,f789,f794,f795,f796,f801,f806,f812,f822,f828,f835,f840,f845,f852,f857,f862,f867,f872,f878,f883,f894,f899,f904,f909,f914,f922,f928,f933,f939,f945,f957,f959,f964,f969,f974,f979,f980,f985,f991,f992,f997,f1002,f1007,f1008,f1009,f1011,f1016,f1021,f1022,f1029,f1034,f1035,f1038,f1039,f1044,f1046,f1050,f1055,f1063,f1070,f1075,f1098,f1101,f1122,f1127,f1135,f1148,f1156,f1157,f1165,f1186,f1202,f1208,f1231,f1242,f1253,f1261,f1272,f1283,f1323,f1328,f1356,f1358,f1363,f1380,f1384,f1385,f1407,f1410,f1420,f1438,f1442,f1522,f1531,f1534,f1594,f1595,f1652,f1665,f1709,f1710,f1771,f1774,f1789,f1790,f1791,f1839,f1858,f1876,f1953,f2018,f2046,f2047,f2048,f2071,f2073,f2138,f2139,f2141,f2224,f2225,f2226,f2276,f2284,f2304,f2305]) ).

fof(f2305,plain,
    ( ~ spl0_159
    | spl0_141
    | ~ spl0_132
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f2260,f1031,f892,f942,f1059]) ).

fof(f1059,plain,
    ( spl0_159
  <=> c2_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f942,plain,
    ( spl0_141
  <=> c0_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f892,plain,
    ( spl0_132
  <=> ! [X29] :
        ( ~ c2_1(X29)
        | ~ c3_1(X29)
        | c0_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1031,plain,
    ( spl0_156
  <=> c3_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f2260,plain,
    ( c0_1(a18)
    | ~ c2_1(a18)
    | ~ spl0_132
    | ~ spl0_156 ),
    inference(resolution,[],[f893,f1033]) ).

fof(f1033,plain,
    ( c3_1(a18)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f1031]) ).

fof(f893,plain,
    ( ! [X29] :
        ( ~ c3_1(X29)
        | c0_1(X29)
        | ~ c2_1(X29) )
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f892]) ).

fof(f2304,plain,
    ( spl0_110
    | spl0_90
    | ~ spl0_51
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f2303,f1417,f467,f658,f774]) ).

fof(f774,plain,
    ( spl0_110
  <=> c1_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f658,plain,
    ( spl0_90
  <=> c0_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f467,plain,
    ( spl0_51
  <=> ! [X98] :
        ( c1_1(X98)
        | c0_1(X98)
        | ~ c2_1(X98) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1417,plain,
    ( spl0_182
  <=> c2_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f2303,plain,
    ( c0_1(a13)
    | c1_1(a13)
    | ~ spl0_51
    | ~ spl0_182 ),
    inference(resolution,[],[f1419,f468]) ).

fof(f468,plain,
    ( ! [X98] :
        ( ~ c2_1(X98)
        | c1_1(X98)
        | c0_1(X98) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f1419,plain,
    ( c2_1(a13)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1417]) ).

fof(f2284,plain,
    ( spl0_67
    | ~ spl0_154
    | ~ spl0_55
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f2280,f1239,f484,f1018,f535]) ).

fof(f535,plain,
    ( spl0_67
  <=> c2_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1018,plain,
    ( spl0_154
  <=> c1_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f484,plain,
    ( spl0_55
  <=> ! [X76] :
        ( ~ c0_1(X76)
        | c2_1(X76)
        | ~ c1_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1239,plain,
    ( spl0_173
  <=> c0_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f2280,plain,
    ( ~ c1_1(a3)
    | c2_1(a3)
    | ~ spl0_55
    | ~ spl0_173 ),
    inference(resolution,[],[f1241,f485]) ).

fof(f485,plain,
    ( ! [X76] :
        ( ~ c0_1(X76)
        | ~ c1_1(X76)
        | c2_1(X76) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f1241,plain,
    ( c0_1(a3)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1239]) ).

fof(f2276,plain,
    ( spl0_105
    | spl0_125
    | ~ spl0_48
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f2275,f1234,f456,f854,f747]) ).

fof(f747,plain,
    ( spl0_105
  <=> c3_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f854,plain,
    ( spl0_125
  <=> c0_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f456,plain,
    ( spl0_48
  <=> ! [X93] :
        ( c3_1(X93)
        | ~ c2_1(X93)
        | c0_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1234,plain,
    ( spl0_172
  <=> c2_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2275,plain,
    ( c0_1(a31)
    | c3_1(a31)
    | ~ spl0_48
    | ~ spl0_172 ),
    inference(resolution,[],[f1236,f457]) ).

fof(f457,plain,
    ( ! [X93] :
        ( ~ c2_1(X93)
        | c0_1(X93)
        | c3_1(X93) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1236,plain,
    ( c2_1(a31)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1234]) ).

fof(f2226,plain,
    ( spl0_134
    | spl0_187
    | ~ spl0_51
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2202,f1041,f467,f1819,f901]) ).

fof(f901,plain,
    ( spl0_134
  <=> c0_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1819,plain,
    ( spl0_187
  <=> c1_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f1041,plain,
    ( spl0_157
  <=> c2_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2202,plain,
    ( c1_1(a22)
    | c0_1(a22)
    | ~ spl0_51
    | ~ spl0_157 ),
    inference(resolution,[],[f468,f1043]) ).

fof(f1043,plain,
    ( c2_1(a22)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f2225,plain,
    ( ~ spl0_126
    | ~ spl0_186
    | ~ spl0_71
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f2222,f798,f557,f1800,f859]) ).

fof(f859,plain,
    ( spl0_126
  <=> c1_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1800,plain,
    ( spl0_186
  <=> c2_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f557,plain,
    ( spl0_71
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c1_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f798,plain,
    ( spl0_114
  <=> c3_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f2222,plain,
    ( ~ c2_1(a12)
    | ~ c1_1(a12)
    | ~ spl0_71
    | ~ spl0_114 ),
    inference(resolution,[],[f558,f800]) ).

fof(f800,plain,
    ( c3_1(a12)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f798]) ).

fof(f558,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | ~ c1_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f2224,plain,
    ( ~ spl0_157
    | ~ spl0_187
    | ~ spl0_71
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f2214,f758,f557,f1819,f1041]) ).

fof(f758,plain,
    ( spl0_107
  <=> c3_1(a22) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2214,plain,
    ( ~ c1_1(a22)
    | ~ c2_1(a22)
    | ~ spl0_71
    | ~ spl0_107 ),
    inference(resolution,[],[f558,f760]) ).

fof(f760,plain,
    ( c3_1(a22)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f758]) ).

fof(f2141,plain,
    ( spl0_15
    | spl0_115
    | spl0_41
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f2090,f850,f422,f803,f311]) ).

fof(f311,plain,
    ( spl0_15
  <=> c2_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f803,plain,
    ( spl0_115
  <=> c1_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f422,plain,
    ( spl0_41
  <=> c0_1(a24) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f850,plain,
    ( spl0_124
  <=> ! [X57] :
        ( c2_1(X57)
        | c0_1(X57)
        | c1_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f2090,plain,
    ( c1_1(a24)
    | c2_1(a24)
    | spl0_41
    | ~ spl0_124 ),
    inference(resolution,[],[f851,f424]) ).

fof(f424,plain,
    ( ~ c0_1(a24)
    | spl0_41 ),
    inference(avatar_component_clause,[],[f422]) ).

fof(f851,plain,
    ( ! [X57] :
        ( c0_1(X57)
        | c2_1(X57)
        | c1_1(X57) )
    | ~ spl0_124 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f2139,plain,
    ( spl0_112
    | ~ spl0_158
    | ~ spl0_59
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1978,f711,f503,f1052,f786]) ).

fof(f786,plain,
    ( spl0_112
  <=> c1_1(a70) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1052,plain,
    ( spl0_158
  <=> c2_1(a70) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f503,plain,
    ( spl0_59
  <=> ! [X56] :
        ( ~ c0_1(X56)
        | c1_1(X56)
        | ~ c2_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f711,plain,
    ( spl0_99
  <=> c0_1(a70) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1978,plain,
    ( ~ c2_1(a70)
    | c1_1(a70)
    | ~ spl0_59
    | ~ spl0_99 ),
    inference(resolution,[],[f504,f713]) ).

fof(f713,plain,
    ( c0_1(a70)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f504,plain,
    ( ! [X56] :
        ( ~ c0_1(X56)
        | ~ c2_1(X56)
        | c1_1(X56) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f2138,plain,
    ( spl0_162
    | spl0_109
    | ~ spl0_24
    | spl0_38 ),
    inference(avatar_split_clause,[],[f1878,f408,f346,f768,f1088]) ).

fof(f1088,plain,
    ( spl0_162
  <=> c1_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f768,plain,
    ( spl0_109
  <=> c2_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f346,plain,
    ( spl0_24
  <=> ! [X109] :
        ( c2_1(X109)
        | c3_1(X109)
        | c1_1(X109) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f408,plain,
    ( spl0_38
  <=> c3_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1878,plain,
    ( c2_1(a2)
    | c1_1(a2)
    | ~ spl0_24
    | spl0_38 ),
    inference(resolution,[],[f347,f410]) ).

fof(f410,plain,
    ( ~ c3_1(a2)
    | spl0_38 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f347,plain,
    ( ! [X109] :
        ( c3_1(X109)
        | c2_1(X109)
        | c1_1(X109) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2073,plain,
    ( spl0_172
    | spl0_105
    | ~ spl0_123
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2060,f1026,f847,f747,f1234]) ).

fof(f847,plain,
    ( spl0_123
  <=> ! [X58] :
        ( c3_1(X58)
        | ~ c1_1(X58)
        | c2_1(X58) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1026,plain,
    ( spl0_155
  <=> c1_1(a31) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f2060,plain,
    ( c3_1(a31)
    | c2_1(a31)
    | ~ spl0_123
    | ~ spl0_155 ),
    inference(resolution,[],[f848,f1028]) ).

fof(f1028,plain,
    ( c1_1(a31)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1026]) ).

fof(f848,plain,
    ( ! [X58] :
        ( ~ c1_1(X58)
        | c2_1(X58)
        | c3_1(X58) )
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f847]) ).

fof(f2071,plain,
    ( spl0_38
    | spl0_109
    | ~ spl0_123
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f2051,f1088,f847,f768,f408]) ).

fof(f2051,plain,
    ( c2_1(a2)
    | c3_1(a2)
    | ~ spl0_123
    | ~ spl0_162 ),
    inference(resolution,[],[f848,f1090]) ).

fof(f1090,plain,
    ( c1_1(a2)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1088]) ).

fof(f2048,plain,
    ( ~ spl0_64
    | spl0_153
    | ~ spl0_118
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2034,f1124,f820,f1013,f523]) ).

fof(f523,plain,
    ( spl0_64
  <=> c2_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f1013,plain,
    ( spl0_153
  <=> c3_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f820,plain,
    ( spl0_118
  <=> ! [X15] :
        ( c3_1(X15)
        | ~ c0_1(X15)
        | ~ c2_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1124,plain,
    ( spl0_166
  <=> c0_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2034,plain,
    ( c3_1(a1)
    | ~ c2_1(a1)
    | ~ spl0_118
    | ~ spl0_166 ),
    inference(resolution,[],[f821,f1126]) ).

fof(f1126,plain,
    ( c0_1(a1)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1124]) ).

fof(f821,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15)
        | ~ c2_1(X15) )
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f820]) ).

fof(f2047,plain,
    ( spl0_128
    | ~ spl0_175
    | ~ spl0_33
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2037,f820,f386,f1268,f869]) ).

fof(f869,plain,
    ( spl0_128
  <=> c3_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1268,plain,
    ( spl0_175
  <=> c2_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f386,plain,
    ( spl0_33
  <=> c0_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f2037,plain,
    ( ~ c2_1(a16)
    | c3_1(a16)
    | ~ spl0_33
    | ~ spl0_118 ),
    inference(resolution,[],[f821,f388]) ).

fof(f388,plain,
    ( c0_1(a16)
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f2046,plain,
    ( ~ spl0_87
    | spl0_39
    | ~ spl0_96
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2038,f820,f695,f413,f644]) ).

fof(f644,plain,
    ( spl0_87
  <=> c2_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f413,plain,
    ( spl0_39
  <=> c3_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f695,plain,
    ( spl0_96
  <=> c0_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f2038,plain,
    ( c3_1(a21)
    | ~ c2_1(a21)
    | ~ spl0_96
    | ~ spl0_118 ),
    inference(resolution,[],[f821,f697]) ).

fof(f697,plain,
    ( c0_1(a21)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f2018,plain,
    ( ~ spl0_187
    | spl0_134
    | ~ spl0_81
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f2009,f1041,f613,f901,f1819]) ).

fof(f613,plain,
    ( spl0_81
  <=> ! [X113] :
        ( ~ c1_1(X113)
        | c0_1(X113)
        | ~ c2_1(X113) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f2009,plain,
    ( c0_1(a22)
    | ~ c1_1(a22)
    | ~ spl0_81
    | ~ spl0_157 ),
    inference(resolution,[],[f614,f1043]) ).

fof(f614,plain,
    ( ! [X113] :
        ( ~ c2_1(X113)
        | c0_1(X113)
        | ~ c1_1(X113) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f1953,plain,
    ( ~ spl0_126
    | ~ spl0_114
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1949,f930,f480,f798,f859]) ).

fof(f480,plain,
    ( spl0_54
  <=> ! [X42] :
        ( ~ c0_1(X42)
        | ~ c3_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f930,plain,
    ( spl0_139
  <=> c0_1(a12) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f1949,plain,
    ( ~ c3_1(a12)
    | ~ c1_1(a12)
    | ~ spl0_54
    | ~ spl0_139 ),
    inference(resolution,[],[f481,f932]) ).

fof(f932,plain,
    ( c0_1(a12)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f481,plain,
    ( ! [X42] :
        ( ~ c0_1(X42)
        | ~ c3_1(X42)
        | ~ c1_1(X42) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f480]) ).

fof(f1876,plain,
    ( spl0_163
    | spl0_152
    | ~ spl0_49
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1861,f753,f459,f1004,f1093]) ).

fof(f1093,plain,
    ( spl0_163
  <=> c1_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1004,plain,
    ( spl0_152
  <=> c3_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f459,plain,
    ( spl0_49
  <=> ! [X92] :
        ( ~ c0_1(X92)
        | c1_1(X92)
        | c3_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f753,plain,
    ( spl0_106
  <=> c0_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f1861,plain,
    ( c3_1(a9)
    | c1_1(a9)
    | ~ spl0_49
    | ~ spl0_106 ),
    inference(resolution,[],[f460,f755]) ).

fof(f755,plain,
    ( c0_1(a9)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f753]) ).

fof(f460,plain,
    ( ! [X92] :
        ( ~ c0_1(X92)
        | c1_1(X92)
        | c3_1(X92) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f1858,plain,
    ( ~ spl0_114
    | spl0_186
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1854,f930,f368,f1800,f798]) ).

fof(f368,plain,
    ( spl0_29
  <=> ! [X66] :
        ( c2_1(X66)
        | ~ c0_1(X66)
        | ~ c3_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f1854,plain,
    ( c2_1(a12)
    | ~ c3_1(a12)
    | ~ spl0_29
    | ~ spl0_139 ),
    inference(resolution,[],[f369,f932]) ).

fof(f369,plain,
    ( ! [X66] :
        ( ~ c0_1(X66)
        | c2_1(X66)
        | ~ c3_1(X66) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1839,plain,
    ( ~ spl0_181
    | spl0_146
    | ~ spl0_22
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f1831,f809,f340,f971,f1360]) ).

fof(f1360,plain,
    ( spl0_181
  <=> c2_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f971,plain,
    ( spl0_146
  <=> c1_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f340,plain,
    ( spl0_22
  <=> ! [X107] :
        ( c1_1(X107)
        | ~ c2_1(X107)
        | ~ c3_1(X107) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f809,plain,
    ( spl0_116
  <=> c3_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1831,plain,
    ( c1_1(a27)
    | ~ c2_1(a27)
    | ~ spl0_22
    | ~ spl0_116 ),
    inference(resolution,[],[f341,f811]) ).

fof(f811,plain,
    ( c3_1(a27)
    | ~ spl0_116 ),
    inference(avatar_component_clause,[],[f809]) ).

fof(f341,plain,
    ( ! [X107] :
        ( ~ c3_1(X107)
        | c1_1(X107)
        | ~ c2_1(X107) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f1791,plain,
    ( ~ spl0_97
    | ~ spl0_70
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1723,f593,f294,f552,f700]) ).

fof(f700,plain,
    ( spl0_97
  <=> c1_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f552,plain,
    ( spl0_70
  <=> c2_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f294,plain,
    ( spl0_11
  <=> c0_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f593,plain,
    ( spl0_78
  <=> ! [X13] :
        ( ~ c2_1(X13)
        | ~ c0_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1723,plain,
    ( ~ c2_1(a35)
    | ~ c1_1(a35)
    | ~ spl0_11
    | ~ spl0_78 ),
    inference(resolution,[],[f594,f296]) ).

fof(f296,plain,
    ( c0_1(a35)
    | ~ spl0_11 ),
    inference(avatar_component_clause,[],[f294]) ).

fof(f594,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | ~ c1_1(X13)
        | ~ c2_1(X13) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f593]) ).

fof(f1790,plain,
    ( ~ spl0_93
    | ~ spl0_175
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1787,f593,f386,f1268,f677]) ).

fof(f677,plain,
    ( spl0_93
  <=> c1_1(a16) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1787,plain,
    ( ~ c2_1(a16)
    | ~ c1_1(a16)
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(resolution,[],[f388,f594]) ).

fof(f1789,plain,
    ( ~ spl0_93
    | spl0_128
    | ~ spl0_33
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1788,f635,f386,f869,f677]) ).

fof(f635,plain,
    ( spl0_85
  <=> ! [X53] :
        ( ~ c1_1(X53)
        | ~ c0_1(X53)
        | c3_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1788,plain,
    ( c3_1(a16)
    | ~ c1_1(a16)
    | ~ spl0_33
    | ~ spl0_85 ),
    inference(resolution,[],[f388,f636]) ).

fof(f636,plain,
    ( ! [X53] :
        ( ~ c0_1(X53)
        | c3_1(X53)
        | ~ c1_1(X53) )
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f635]) ).

fof(f1774,plain,
    ( spl0_144
    | spl0_36
    | ~ spl0_88
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1761,f925,f649,f399,f961]) ).

fof(f961,plain,
    ( spl0_144
  <=> c3_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f399,plain,
    ( spl0_36
  <=> c1_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f649,plain,
    ( spl0_88
  <=> ! [X110] :
        ( c3_1(X110)
        | c1_1(X110)
        | ~ c2_1(X110) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f925,plain,
    ( spl0_138
  <=> c2_1(a20) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1761,plain,
    ( c1_1(a20)
    | c3_1(a20)
    | ~ spl0_88
    | ~ spl0_138 ),
    inference(resolution,[],[f650,f927]) ).

fof(f927,plain,
    ( c2_1(a20)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f650,plain,
    ( ! [X110] :
        ( ~ c2_1(X110)
        | c1_1(X110)
        | c3_1(X110) )
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f649]) ).

fof(f1771,plain,
    ( spl0_170
    | spl0_39
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f1762,f649,f644,f413,f1205]) ).

fof(f1205,plain,
    ( spl0_170
  <=> c1_1(a21) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f1762,plain,
    ( c3_1(a21)
    | c1_1(a21)
    | ~ spl0_87
    | ~ spl0_88 ),
    inference(resolution,[],[f650,f646]) ).

fof(f646,plain,
    ( c2_1(a21)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f644]) ).

fof(f1710,plain,
    ( spl0_145
    | spl0_180
    | ~ spl0_76
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1705,f734,f581,f1325,f966]) ).

fof(f966,plain,
    ( spl0_145
  <=> c2_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1325,plain,
    ( spl0_180
  <=> c1_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f581,plain,
    ( spl0_76
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | c1_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f734,plain,
    ( spl0_103
  <=> c3_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1705,plain,
    ( c1_1(a28)
    | c2_1(a28)
    | ~ spl0_76
    | ~ spl0_103 ),
    inference(resolution,[],[f582,f736]) ).

fof(f736,plain,
    ( c3_1(a28)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f734]) ).

fof(f582,plain,
    ( ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | c1_1(X9) )
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f581]) ).

fof(f1709,plain,
    ( spl0_79
    | spl0_159
    | ~ spl0_76
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1702,f1031,f581,f1059,f597]) ).

fof(f597,plain,
    ( spl0_79
  <=> c1_1(a18) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1702,plain,
    ( c2_1(a18)
    | c1_1(a18)
    | ~ spl0_76
    | ~ spl0_156 ),
    inference(resolution,[],[f582,f1033]) ).

fof(f1665,plain,
    ( ~ spl0_100
    | spl0_133
    | ~ spl0_66
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1656,f1072,f531,f896,f716]) ).

fof(f716,plain,
    ( spl0_100
  <=> c1_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f896,plain,
    ( spl0_133
  <=> c2_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f531,plain,
    ( spl0_66
  <=> ! [X63] :
        ( c2_1(X63)
        | ~ c1_1(X63)
        | ~ c3_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1072,plain,
    ( spl0_160
  <=> c3_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1656,plain,
    ( c2_1(a14)
    | ~ c1_1(a14)
    | ~ spl0_66
    | ~ spl0_160 ),
    inference(resolution,[],[f532,f1074]) ).

fof(f1074,plain,
    ( c3_1(a14)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1072]) ).

fof(f532,plain,
    ( ! [X63] :
        ( ~ c3_1(X63)
        | c2_1(X63)
        | ~ c1_1(X63) )
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f531]) ).

fof(f1652,plain,
    ( spl0_129
    | spl0_110
    | ~ spl0_63
    | spl0_90 ),
    inference(avatar_split_clause,[],[f1641,f658,f519,f774,f875]) ).

fof(f875,plain,
    ( spl0_129
  <=> c3_1(a13) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f519,plain,
    ( spl0_63
  <=> ! [X60] :
        ( c3_1(X60)
        | c1_1(X60)
        | c0_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1641,plain,
    ( c1_1(a13)
    | c3_1(a13)
    | ~ spl0_63
    | spl0_90 ),
    inference(resolution,[],[f520,f660]) ).

fof(f660,plain,
    ( ~ c0_1(a13)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f520,plain,
    ( ! [X60] :
        ( c0_1(X60)
        | c3_1(X60)
        | c1_1(X60) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f1595,plain,
    ( spl0_170
    | spl0_39
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1585,f695,f459,f413,f1205]) ).

fof(f1585,plain,
    ( c3_1(a21)
    | c1_1(a21)
    | ~ spl0_49
    | ~ spl0_96 ),
    inference(resolution,[],[f460,f697]) ).

fof(f1594,plain,
    ( spl0_120
    | spl0_112
    | ~ spl0_49
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1590,f711,f459,f786,f832]) ).

fof(f832,plain,
    ( spl0_120
  <=> c3_1(a70) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1590,plain,
    ( c1_1(a70)
    | c3_1(a70)
    | ~ spl0_49
    | ~ spl0_99 ),
    inference(resolution,[],[f460,f713]) ).

fof(f1534,plain,
    ( spl0_140
    | spl0_45
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(avatar_split_clause,[],[f1502,f467,f372,f441,f936]) ).

fof(f936,plain,
    ( spl0_140
  <=> c1_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f441,plain,
    ( spl0_45
  <=> c0_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f372,plain,
    ( spl0_30
  <=> c2_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1502,plain,
    ( c0_1(a58)
    | c1_1(a58)
    | ~ spl0_30
    | ~ spl0_51 ),
    inference(resolution,[],[f468,f374]) ).

fof(f374,plain,
    ( c2_1(a58)
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f1531,plain,
    ( spl0_79
    | spl0_141
    | ~ spl0_51
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1508,f1059,f467,f942,f597]) ).

fof(f1508,plain,
    ( c0_1(a18)
    | c1_1(a18)
    | ~ spl0_51
    | ~ spl0_159 ),
    inference(resolution,[],[f1061,f468]) ).

fof(f1061,plain,
    ( c2_1(a18)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1059]) ).

fof(f1522,plain,
    ( ~ spl0_92
    | ~ spl0_135
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1519,f557,f427,f906,f670]) ).

fof(f670,plain,
    ( spl0_92
  <=> c1_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f906,plain,
    ( spl0_135
  <=> c2_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f427,plain,
    ( spl0_42
  <=> c3_1(a25) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1519,plain,
    ( ~ c2_1(a25)
    | ~ c1_1(a25)
    | ~ spl0_42
    | ~ spl0_71 ),
    inference(resolution,[],[f558,f429]) ).

fof(f429,plain,
    ( c3_1(a25)
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f1442,plain,
    ( ~ spl0_97
    | spl0_167
    | ~ spl0_65
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1273,f552,f528,f1145,f700]) ).

fof(f1145,plain,
    ( spl0_167
  <=> c3_1(a35) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f528,plain,
    ( spl0_65
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | ~ c2_1(X62)
        | c3_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f1273,plain,
    ( c3_1(a35)
    | ~ c1_1(a35)
    | ~ spl0_65
    | ~ spl0_70 ),
    inference(resolution,[],[f554,f529]) ).

fof(f529,plain,
    ( ! [X62] :
        ( ~ c2_1(X62)
        | c3_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f528]) ).

fof(f554,plain,
    ( c2_1(a35)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f1438,plain,
    ( ~ spl0_75
    | spl0_47
    | ~ spl0_29
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1426,f880,f368,f451,f573]) ).

fof(f573,plain,
    ( spl0_75
  <=> c3_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f451,plain,
    ( spl0_47
  <=> c2_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f880,plain,
    ( spl0_130
  <=> c0_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1426,plain,
    ( c2_1(a7)
    | ~ c3_1(a7)
    | ~ spl0_29
    | ~ spl0_130 ),
    inference(resolution,[],[f369,f882]) ).

fof(f882,plain,
    ( c0_1(a7)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1420,plain,
    ( spl0_110
    | spl0_182
    | ~ spl0_24
    | spl0_129 ),
    inference(avatar_split_clause,[],[f1415,f875,f346,f1417,f774]) ).

fof(f1415,plain,
    ( c2_1(a13)
    | c1_1(a13)
    | ~ spl0_24
    | spl0_129 ),
    inference(resolution,[],[f877,f347]) ).

fof(f877,plain,
    ( ~ c3_1(a13)
    | spl0_129 ),
    inference(avatar_component_clause,[],[f875]) ).

fof(f1410,plain,
    ( spl0_173
    | spl0_67
    | ~ spl0_19
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1397,f791,f328,f535,f1239]) ).

fof(f328,plain,
    ( spl0_19
  <=> ! [X27] :
        ( c0_1(X27)
        | ~ c3_1(X27)
        | c2_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f791,plain,
    ( spl0_113
  <=> c3_1(a3) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1397,plain,
    ( c2_1(a3)
    | c0_1(a3)
    | ~ spl0_19
    | ~ spl0_113 ),
    inference(resolution,[],[f329,f793]) ).

fof(f793,plain,
    ( c3_1(a3)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f329,plain,
    ( ! [X27] :
        ( ~ c3_1(X27)
        | c2_1(X27)
        | c0_1(X27) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f328]) ).

fof(f1407,plain,
    ( spl0_128
    | ~ spl0_93
    | ~ spl0_65
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1406,f1268,f528,f677,f869]) ).

fof(f1406,plain,
    ( ~ c1_1(a16)
    | c3_1(a16)
    | ~ spl0_65
    | ~ spl0_175 ),
    inference(resolution,[],[f1270,f529]) ).

fof(f1270,plain,
    ( c2_1(a16)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1268]) ).

fof(f1385,plain,
    ( spl0_124
    | ~ spl0_24
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1379,f564,f346,f850]) ).

fof(f564,plain,
    ( spl0_73
  <=> ! [X78] :
        ( c0_1(X78)
        | c1_1(X78)
        | ~ c3_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1379,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c0_1(X0) )
    | ~ spl0_24
    | ~ spl0_73 ),
    inference(duplicate_literal_removal,[],[f1367]) ).

fof(f1367,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c1_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_24
    | ~ spl0_73 ),
    inference(resolution,[],[f565,f347]) ).

fof(f565,plain,
    ( ! [X78] :
        ( ~ c3_1(X78)
        | c0_1(X78)
        | c1_1(X78) )
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f1384,plain,
    ( spl0_79
    | spl0_141
    | ~ spl0_73
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1372,f1031,f564,f942,f597]) ).

fof(f1372,plain,
    ( c0_1(a18)
    | c1_1(a18)
    | ~ spl0_73
    | ~ spl0_156 ),
    inference(resolution,[],[f565,f1033]) ).

fof(f1380,plain,
    ( spl0_127
    | spl0_180
    | ~ spl0_73
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1374,f734,f564,f1325,f864]) ).

fof(f864,plain,
    ( spl0_127
  <=> c0_1(a28) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1374,plain,
    ( c1_1(a28)
    | c0_1(a28)
    | ~ spl0_73
    | ~ spl0_103 ),
    inference(resolution,[],[f565,f736]) ).

fof(f1363,plain,
    ( spl0_146
    | spl0_181
    | ~ spl0_72
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1351,f742,f561,f1360,f971]) ).

fof(f561,plain,
    ( spl0_72
  <=> ! [X79] :
        ( c1_1(X79)
        | c2_1(X79)
        | ~ c0_1(X79) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f742,plain,
    ( spl0_104
  <=> c0_1(a27) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1351,plain,
    ( c2_1(a27)
    | c1_1(a27)
    | ~ spl0_72
    | ~ spl0_104 ),
    inference(resolution,[],[f562,f744]) ).

fof(f744,plain,
    ( c0_1(a27)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f742]) ).

fof(f562,plain,
    ( ! [X79] :
        ( ~ c0_1(X79)
        | c2_1(X79)
        | c1_1(X79) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f561]) ).

fof(f1358,plain,
    ( spl0_47
    | spl0_176
    | ~ spl0_72
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1346,f880,f561,f1280,f451]) ).

fof(f1280,plain,
    ( spl0_176
  <=> c1_1(a7) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1346,plain,
    ( c1_1(a7)
    | c2_1(a7)
    | ~ spl0_72
    | ~ spl0_130 ),
    inference(resolution,[],[f562,f882]) ).

fof(f1356,plain,
    ( spl0_7
    | spl0_94
    | ~ spl0_72
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f1348,f982,f561,f682,f275]) ).

fof(f275,plain,
    ( spl0_7
  <=> c1_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f682,plain,
    ( spl0_94
  <=> c2_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f982,plain,
    ( spl0_148
  <=> c0_1(a11) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1348,plain,
    ( c2_1(a11)
    | c1_1(a11)
    | ~ spl0_72
    | ~ spl0_148 ),
    inference(resolution,[],[f562,f984]) ).

fof(f984,plain,
    ( c0_1(a11)
    | ~ spl0_148 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f1328,plain,
    ( ~ spl0_180
    | spl0_145
    | ~ spl0_66
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1317,f734,f531,f966,f1325]) ).

fof(f1317,plain,
    ( c2_1(a28)
    | ~ c1_1(a28)
    | ~ spl0_66
    | ~ spl0_103 ),
    inference(resolution,[],[f532,f736]) ).

fof(f1323,plain,
    ( ~ spl0_154
    | spl0_67
    | ~ spl0_66
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1313,f791,f531,f535,f1018]) ).

fof(f1313,plain,
    ( c2_1(a3)
    | ~ c1_1(a3)
    | ~ spl0_66
    | ~ spl0_113 ),
    inference(resolution,[],[f532,f793]) ).

fof(f1283,plain,
    ( spl0_47
    | ~ spl0_176
    | ~ spl0_55
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1278,f880,f484,f1280,f451]) ).

fof(f1278,plain,
    ( ~ c1_1(a7)
    | c2_1(a7)
    | ~ spl0_55
    | ~ spl0_130 ),
    inference(resolution,[],[f882,f485]) ).

fof(f1272,plain,
    ( spl0_175
    | ~ spl0_93
    | ~ spl0_33
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1266,f484,f386,f677,f1268]) ).

fof(f1266,plain,
    ( ~ c1_1(a16)
    | c2_1(a16)
    | ~ spl0_33
    | ~ spl0_55 ),
    inference(resolution,[],[f388,f485]) ).

fof(f1261,plain,
    ( ~ spl0_121
    | spl0_153
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1244,f528,f523,f1013,f837]) ).

fof(f837,plain,
    ( spl0_121
  <=> c1_1(a1) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1244,plain,
    ( c3_1(a1)
    | ~ c1_1(a1)
    | ~ spl0_64
    | ~ spl0_65 ),
    inference(resolution,[],[f529,f525]) ).

fof(f525,plain,
    ( c2_1(a1)
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f1253,plain,
    ( spl0_39
    | ~ spl0_170
    | ~ spl0_65
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1249,f644,f528,f1205,f413]) ).

fof(f1249,plain,
    ( ~ c1_1(a21)
    | c3_1(a21)
    | ~ spl0_65
    | ~ spl0_87 ),
    inference(resolution,[],[f529,f646]) ).

fof(f1242,plain,
    ( spl0_67
    | spl0_173
    | ~ spl0_61
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f1226,f1018,f511,f1239,f535]) ).

fof(f511,plain,
    ( spl0_61
  <=> ! [X36] :
        ( ~ c1_1(X36)
        | c2_1(X36)
        | c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1226,plain,
    ( c0_1(a3)
    | c2_1(a3)
    | ~ spl0_61
    | ~ spl0_154 ),
    inference(resolution,[],[f512,f1020]) ).

fof(f1020,plain,
    ( c1_1(a3)
    | ~ spl0_154 ),
    inference(avatar_component_clause,[],[f1018]) ).

fof(f512,plain,
    ( ! [X36] :
        ( ~ c1_1(X36)
        | c0_1(X36)
        | c2_1(X36) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f511]) ).

fof(f1231,plain,
    ( spl0_133
    | spl0_147
    | ~ spl0_61
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f1227,f716,f511,f976,f896]) ).

fof(f976,plain,
    ( spl0_147
  <=> c0_1(a14) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1227,plain,
    ( c0_1(a14)
    | c2_1(a14)
    | ~ spl0_61
    | ~ spl0_100 ),
    inference(resolution,[],[f512,f718]) ).

fof(f718,plain,
    ( c1_1(a14)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f716]) ).

fof(f1208,plain,
    ( spl0_170
    | ~ spl0_87
    | ~ spl0_59
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1198,f695,f503,f644,f1205]) ).

fof(f1198,plain,
    ( ~ c2_1(a21)
    | c1_1(a21)
    | ~ spl0_59
    | ~ spl0_96 ),
    inference(resolution,[],[f504,f697]) ).

fof(f1202,plain,
    ( spl0_77
    | ~ spl0_89
    | ~ spl0_59
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1200,f545,f503,f653,f587]) ).

fof(f587,plain,
    ( spl0_77
  <=> c1_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f653,plain,
    ( spl0_89
  <=> c2_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f545,plain,
    ( spl0_69
  <=> c0_1(a42) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1200,plain,
    ( ~ c2_1(a42)
    | c1_1(a42)
    | ~ spl0_59
    | ~ spl0_69 ),
    inference(resolution,[],[f504,f547]) ).

fof(f547,plain,
    ( c0_1(a42)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f545]) ).

fof(f1186,plain,
    ( spl0_119
    | spl0_5
    | ~ spl0_48
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1185,f779,f456,f266,f825]) ).

fof(f825,plain,
    ( spl0_119
  <=> c3_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f266,plain,
    ( spl0_5
  <=> c0_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f779,plain,
    ( spl0_111
  <=> c2_1(a19) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1185,plain,
    ( c0_1(a19)
    | c3_1(a19)
    | ~ spl0_48
    | ~ spl0_111 ),
    inference(resolution,[],[f781,f457]) ).

fof(f781,plain,
    ( c2_1(a19)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f1165,plain,
    ( spl0_86
    | ~ spl0_136
    | ~ spl0_22
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1164,f617,f340,f911,f639]) ).

fof(f639,plain,
    ( spl0_86
  <=> c1_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f911,plain,
    ( spl0_136
  <=> c2_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f617,plain,
    ( spl0_82
  <=> c3_1(a36) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1164,plain,
    ( ~ c2_1(a36)
    | c1_1(a36)
    | ~ spl0_22
    | ~ spl0_82 ),
    inference(resolution,[],[f619,f341]) ).

fof(f619,plain,
    ( c3_1(a36)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f617]) ).

fof(f1157,plain,
    ( spl0_122
    | ~ spl0_163
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1150,f753,f484,f1093,f842]) ).

fof(f842,plain,
    ( spl0_122
  <=> c2_1(a9) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1150,plain,
    ( ~ c1_1(a9)
    | c2_1(a9)
    | ~ spl0_55
    | ~ spl0_106 ),
    inference(resolution,[],[f485,f755]) ).

fof(f1156,plain,
    ( spl0_56
    | ~ spl0_91
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(avatar_split_clause,[],[f1152,f484,f284,f663,f488]) ).

fof(f488,plain,
    ( spl0_56
  <=> c2_1(a38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f663,plain,
    ( spl0_91
  <=> c1_1(a38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f284,plain,
    ( spl0_9
  <=> c0_1(a38) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f1152,plain,
    ( ~ c1_1(a38)
    | c2_1(a38)
    | ~ spl0_9
    | ~ spl0_55 ),
    inference(resolution,[],[f485,f286]) ).

fof(f286,plain,
    ( c0_1(a38)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f284]) ).

fof(f1148,plain,
    ( ~ spl0_167
    | ~ spl0_97
    | ~ spl0_11
    | ~ spl0_54 ),
    inference(avatar_split_clause,[],[f1143,f480,f294,f700,f1145]) ).

fof(f1143,plain,
    ( ~ c1_1(a35)
    | ~ c3_1(a35)
    | ~ spl0_11
    | ~ spl0_54 ),
    inference(resolution,[],[f481,f296]) ).

fof(f1135,plain,
    ( spl0_140
    | ~ spl0_30
    | ~ spl0_22
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1134,f1119,f340,f372,f936]) ).

fof(f1119,plain,
    ( spl0_165
  <=> c3_1(a58) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f1134,plain,
    ( ~ c2_1(a58)
    | c1_1(a58)
    | ~ spl0_22
    | ~ spl0_165 ),
    inference(resolution,[],[f1121,f341]) ).

fof(f1121,plain,
    ( c3_1(a58)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f1127,plain,
    ( spl0_153
    | spl0_166
    | ~ spl0_48
    | ~ spl0_64 ),
    inference(avatar_split_clause,[],[f1113,f523,f456,f1124,f1013]) ).

fof(f1113,plain,
    ( c0_1(a1)
    | c3_1(a1)
    | ~ spl0_48
    | ~ spl0_64 ),
    inference(resolution,[],[f457,f525]) ).

fof(f1122,plain,
    ( spl0_45
    | spl0_165
    | ~ spl0_30
    | ~ spl0_48 ),
    inference(avatar_split_clause,[],[f1116,f456,f372,f1119,f441]) ).

fof(f1116,plain,
    ( c3_1(a58)
    | c0_1(a58)
    | ~ spl0_30
    | ~ spl0_48 ),
    inference(resolution,[],[f457,f374]) ).

fof(f1101,plain,
    ( ~ spl0_159
    | spl0_79
    | ~ spl0_22
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1100,f1031,f340,f597,f1059]) ).

fof(f1100,plain,
    ( c1_1(a18)
    | ~ c2_1(a18)
    | ~ spl0_22
    | ~ spl0_156 ),
    inference(resolution,[],[f341,f1033]) ).

fof(f1098,plain,
    ( spl0_150
    | spl0_80
    | ~ spl0_24
    | spl0_143 ),
    inference(avatar_split_clause,[],[f1084,f954,f346,f605,f994]) ).

fof(f994,plain,
    ( spl0_150
  <=> c1_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f605,plain,
    ( spl0_80
  <=> c2_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f954,plain,
    ( spl0_143
  <=> c3_1(a15) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1084,plain,
    ( c2_1(a15)
    | c1_1(a15)
    | ~ spl0_24
    | spl0_143 ),
    inference(resolution,[],[f347,f956]) ).

fof(f956,plain,
    ( ~ c3_1(a15)
    | spl0_143 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f1075,plain,
    ( spl0_133
    | spl0_160
    | ~ spl0_23
    | spl0_147 ),
    inference(avatar_split_clause,[],[f1065,f976,f343,f1072,f896]) ).

fof(f343,plain,
    ( spl0_23
  <=> ! [X108] :
        ( c2_1(X108)
        | c0_1(X108)
        | c3_1(X108) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1065,plain,
    ( c3_1(a14)
    | c2_1(a14)
    | ~ spl0_23
    | spl0_147 ),
    inference(resolution,[],[f344,f978]) ).

fof(f978,plain,
    ( ~ c0_1(a14)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f344,plain,
    ( ! [X108] :
        ( c0_1(X108)
        | c2_1(X108)
        | c3_1(X108) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f343]) ).

fof(f1070,plain,
    ( spl0_38
    | spl0_109
    | ~ spl0_23
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1064,f705,f343,f768,f408]) ).

fof(f705,plain,
    ( spl0_98
  <=> c0_1(a2) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1064,plain,
    ( c2_1(a2)
    | c3_1(a2)
    | ~ spl0_23
    | spl0_98 ),
    inference(resolution,[],[f344,f707]) ).

fof(f707,plain,
    ( ~ c0_1(a2)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f705]) ).

fof(f1063,plain,
    ( spl0_145
    | spl0_127
    | ~ spl0_19
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f1056,f734,f328,f864,f966]) ).

fof(f1056,plain,
    ( c0_1(a28)
    | c2_1(a28)
    | ~ spl0_19
    | ~ spl0_103 ),
    inference(resolution,[],[f329,f736]) ).

fof(f1055,plain,
    ( spl0_158
    | spl0_120
    | ~ spl0_14
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1048,f711,f307,f832,f1052]) ).

fof(f307,plain,
    ( spl0_14
  <=> ! [X8] :
        ( c2_1(X8)
        | ~ c0_1(X8)
        | c3_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f1048,plain,
    ( c3_1(a70)
    | c2_1(a70)
    | ~ spl0_14
    | ~ spl0_99 ),
    inference(resolution,[],[f308,f713]) ).

fof(f308,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c2_1(X8)
        | c3_1(X8) )
    | ~ spl0_14 ),
    inference(avatar_component_clause,[],[f307]) ).

fof(f1050,plain,
    ( spl0_122
    | spl0_152
    | ~ spl0_14
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1049,f753,f307,f1004,f842]) ).

fof(f1049,plain,
    ( c3_1(a9)
    | c2_1(a9)
    | ~ spl0_14
    | ~ spl0_106 ),
    inference(resolution,[],[f308,f755]) ).

fof(f1046,plain,
    ( spl0_13
    | spl0_17
    | spl0_20 ),
    inference(avatar_split_clause,[],[f92,f332,f320,f303]) ).

fof(f303,plain,
    ( spl0_13
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f320,plain,
    ( spl0_17
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f332,plain,
    ( spl0_20
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f92,plain,
    ( hskp19
    | hskp28
    | hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f7,plain,
    ( ( hskp30
      | ! [X0] :
          ( ~ c0_1(X0)
          | c1_1(X0)
          | ~ c2_1(X0)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X1] :
          ( ~ ndr1_0
          | ~ c0_1(X1)
          | ~ c3_1(X1)
          | ~ c1_1(X1) )
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ ndr1_0
          | c1_1(X2)
          | c0_1(X2) )
      | hskp4 )
    & ( ! [X3] :
          ( ~ c1_1(X3)
          | ~ ndr1_0
          | ~ c2_1(X3)
          | ~ c3_1(X3) )
      | ! [X4] :
          ( ~ c0_1(X4)
          | ~ ndr1_0
          | ~ c3_1(X4)
          | ~ c1_1(X4) )
      | hskp25 )
    & ( ! [X5] :
          ( ~ c3_1(X5)
          | ~ c0_1(X5)
          | ~ c1_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( c2_1(X6)
          | ~ c3_1(X6)
          | ~ ndr1_0
          | c1_1(X6) )
      | ! [X7] :
          ( c2_1(X7)
          | ~ c1_1(X7)
          | ~ ndr1_0
          | ~ c3_1(X7) ) )
    & ( hskp4
      | ! [X8] :
          ( ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0
          | c3_1(X8) )
      | hskp21 )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a35)
        & c0_1(a35)
        & c2_1(a35) ) )
    & ( ! [X9] :
          ( ~ c3_1(X9)
          | c2_1(X9)
          | ~ ndr1_0
          | c1_1(X9) )
      | hskp18
      | hskp13 )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10) )
      | hskp30
      | hskp3 )
    & ( hskp20
      | ! [X11] :
          ( c3_1(X11)
          | ~ c2_1(X11)
          | ~ ndr1_0
          | ~ c1_1(X11) )
      | ! [X12] :
          ( ~ c2_1(X12)
          | c0_1(X12)
          | ~ ndr1_0
          | ~ c3_1(X12) ) )
    & ( ! [X13] :
          ( ~ ndr1_0
          | ~ c0_1(X13)
          | ~ c1_1(X13)
          | ~ c2_1(X13) )
      | hskp9
      | ! [X14] :
          ( ~ ndr1_0
          | c2_1(X14)
          | ~ c1_1(X14)
          | c0_1(X14) ) )
    & ( hskp6
      | ! [X15] :
          ( ~ c0_1(X15)
          | ~ ndr1_0
          | ~ c2_1(X15)
          | c3_1(X15) )
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a24)
        & ~ c2_1(a24)
        & ~ c1_1(a24) )
      | ~ hskp15 )
    & ( hskp19
      | ! [X17] :
          ( ~ ndr1_0
          | ~ c2_1(X17)
          | ~ c0_1(X17)
          | ~ c1_1(X17) )
      | hskp11 )
    & ( ! [X18] :
          ( ~ ndr1_0
          | ~ c2_1(X18)
          | ~ c3_1(X18)
          | ~ c1_1(X18) )
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c2_1(X19)
          | c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c0_1(X20)
          | ~ c2_1(X20)
          | ~ ndr1_0
          | ~ c3_1(X20) ) )
    & ( hskp20
      | hskp22
      | ! [X21] :
          ( c2_1(X21)
          | ~ c3_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | hskp10
      | ! [X23] :
          ( c1_1(X23)
          | ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X24] :
          ( ~ ndr1_0
          | ~ c2_1(X24)
          | c0_1(X24)
          | c3_1(X24) ) )
    & ( hskp0
      | ! [X25] :
          ( ~ ndr1_0
          | c3_1(X25)
          | c2_1(X25)
          | c0_1(X25) )
      | ! [X26] :
          ( ~ ndr1_0
          | c0_1(X26)
          | ~ c3_1(X26)
          | ~ c2_1(X26) ) )
    & ( hskp7
      | hskp28
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ ndr1_0
          | c0_1(X27)
          | c2_1(X27) ) )
    & ( ! [X28] :
          ( ~ c0_1(X28)
          | ~ c2_1(X28)
          | ~ ndr1_0
          | c1_1(X28) )
      | hskp15
      | hskp9 )
    & ( ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) )
      | ~ hskp9 )
    & ( ~ hskp1
      | ( ~ c2_1(a2)
        & ~ c3_1(a2)
        & ndr1_0
        & ~ c0_1(a2) ) )
    & ( ~ hskp27
      | ( c0_1(a12)
        & c3_1(a12)
        & ndr1_0
        & c1_1(a12) ) )
    & ( ~ hskp21
      | ( ~ c2_1(a38)
        & ndr1_0
        & c1_1(a38)
        & c0_1(a38) ) )
    & ( hskp17
      | hskp21
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ ndr1_0
          | ~ c2_1(X29)
          | c0_1(X29) ) )
    & ( hskp17
      | ! [X30] :
          ( c0_1(X30)
          | c3_1(X30)
          | ~ ndr1_0
          | ~ c1_1(X30) )
      | hskp16 )
    & ( ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | ~ c1_1(X31)
          | ~ ndr1_0 )
      | hskp17
      | hskp14 )
    & ( hskp24
      | hskp3
      | ! [X32] :
          ( ~ ndr1_0
          | ~ c1_1(X32)
          | ~ c2_1(X32)
          | ~ c3_1(X32) ) )
    & ( hskp23
      | ! [X33] :
          ( ~ ndr1_0
          | ~ c3_1(X33)
          | ~ c0_1(X33)
          | c1_1(X33) )
      | hskp18 )
    & ( ( ndr1_0
        & c2_1(a20)
        & ~ c3_1(a20)
        & ~ c1_1(a20) )
      | ~ hskp12 )
    & ( ! [X34] :
          ( ~ ndr1_0
          | c1_1(X34)
          | ~ c3_1(X34)
          | ~ c2_1(X34) )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | ~ ndr1_0
          | c2_1(X35) )
      | ! [X36] :
          ( c0_1(X36)
          | ~ ndr1_0
          | c2_1(X36)
          | ~ c1_1(X36) ) )
    & ( ! [X37] :
          ( ~ ndr1_0
          | c0_1(X37)
          | ~ c1_1(X37)
          | ~ c3_1(X37) )
      | hskp29
      | hskp19 )
    & ( ( ~ c2_1(a11)
        & c0_1(a11)
        & ~ c1_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( hskp26
      | hskp14
      | hskp29 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a18)
        & c3_1(a18)
        & ~ c0_1(a18) ) )
    & ( ! [X38] :
          ( ~ ndr1_0
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ c3_1(X38) )
      | hskp7
      | ! [X39] :
          ( ~ c0_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0
          | ~ c2_1(X39) ) )
    & ( hskp6
      | ! [X40] :
          ( c3_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0
          | ~ c2_1(X40) )
      | ! [X41] :
          ( c0_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0
          | c3_1(X41) ) )
    & ( hskp25
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ ndr1_0
          | ~ c0_1(X42)
          | ~ c3_1(X42) )
      | hskp5 )
    & ( ( ~ c3_1(a70)
        & c0_1(a70)
        & ~ c1_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ~ hskp11
      | ( ~ c3_1(a19)
        & c2_1(a19)
        & ~ c0_1(a19)
        & ndr1_0 ) )
    & ( ! [X43] :
          ( ~ c1_1(X43)
          | c2_1(X43)
          | ~ c0_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ ndr1_0
          | c3_1(X44)
          | c2_1(X44)
          | c0_1(X44) )
      | hskp27 )
    & ( ! [X45] :
          ( c3_1(X45)
          | ~ ndr1_0
          | c0_1(X45)
          | c1_1(X45) )
      | ! [X46] :
          ( ~ ndr1_0
          | c2_1(X46)
          | ~ c1_1(X46)
          | ~ c0_1(X46) )
      | ! [X47] :
          ( ~ c1_1(X47)
          | c2_1(X47)
          | ~ ndr1_0
          | ~ c3_1(X47) ) )
    & ( ! [X48] :
          ( ~ ndr1_0
          | c0_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48) )
      | hskp1
      | ! [X49] :
          ( ~ ndr1_0
          | ~ c3_1(X49)
          | ~ c1_1(X49)
          | c2_1(X49) ) )
    & ( hskp6
      | ! [X50] :
          ( ~ c3_1(X50)
          | c2_1(X50)
          | ~ ndr1_0
          | ~ c1_1(X50) )
      | ! [X51] :
          ( c3_1(X51)
          | ~ ndr1_0
          | c2_1(X51)
          | c0_1(X51) ) )
    & ( ! [X52] :
          ( ~ c3_1(X52)
          | ~ ndr1_0
          | c2_1(X52)
          | ~ c0_1(X52) )
      | ! [X53] :
          ( ~ c0_1(X53)
          | ~ ndr1_0
          | c3_1(X53)
          | ~ c1_1(X53) )
      | ! [X54] :
          ( c2_1(X54)
          | ~ ndr1_0
          | ~ c0_1(X54)
          | ~ c1_1(X54) ) )
    & ( ! [X55] :
          ( c1_1(X55)
          | ~ c0_1(X55)
          | c3_1(X55)
          | ~ ndr1_0 )
      | hskp18
      | ! [X56] :
          ( ~ ndr1_0
          | ~ c2_1(X56)
          | c1_1(X56)
          | ~ c0_1(X56) ) )
    & ( ! [X57] :
          ( c0_1(X57)
          | ~ ndr1_0
          | c2_1(X57)
          | c1_1(X57) )
      | ! [X58] :
          ( c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0
          | c2_1(X58) )
      | ! [X59] :
          ( ~ ndr1_0
          | c1_1(X59)
          | ~ c2_1(X59)
          | c3_1(X59) ) )
    & ( ! [X60] :
          ( c1_1(X60)
          | c0_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ( ndr1_0
        & c3_1(a25)
        & c1_1(a25)
        & c2_1(a25) )
      | ~ hskp28 )
    & ( ! [X61] :
          ( c1_1(X61)
          | c2_1(X61)
          | ~ ndr1_0
          | c3_1(X61) )
      | hskp21
      | hskp20 )
    & ( ~ hskp23
      | ( ~ c1_1(a45)
        & ~ c2_1(a45)
        & ndr1_0
        & c3_1(a45) ) )
    & ( hskp9
      | ! [X62] :
          ( ~ ndr1_0
          | c3_1(X62)
          | ~ c2_1(X62)
          | ~ c1_1(X62) )
      | ! [X63] :
          ( ~ c1_1(X63)
          | ~ ndr1_0
          | ~ c3_1(X63)
          | c2_1(X63) ) )
    & ( hskp8
      | ! [X64] :
          ( ~ c0_1(X64)
          | ~ c3_1(X64)
          | ~ ndr1_0
          | ~ c1_1(X64) )
      | ! [X65] :
          ( c3_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0
          | ~ c0_1(X65) ) )
    & ( ( c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a15)
        & ~ c3_1(a15)
        & ~ c2_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ! [X66] :
          ( c2_1(X66)
          | ~ c3_1(X66)
          | ~ ndr1_0
          | ~ c0_1(X66) )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | ~ ndr1_0
          | c0_1(X67) )
      | hskp11 )
    & ( ~ hskp7
      | ( ~ c0_1(a14)
        & ndr1_0
        & ~ c2_1(a14)
        & c1_1(a14) ) )
    & ( ( c2_1(a54)
        & c3_1(a54)
        & ndr1_0
        & c0_1(a54) )
      | ~ hskp30 )
    & ( ( ~ c0_1(a28)
        & ~ c2_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp2
      | hskp16
      | hskp4 )
    & ( ! [X68] :
          ( c0_1(X68)
          | ~ ndr1_0
          | c2_1(X68)
          | ~ c3_1(X68) )
      | hskp14
      | hskp13 )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( hskp19
      | hskp4
      | hskp28 )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c1_1(X69)
          | ~ ndr1_0 )
      | hskp2
      | ! [X70] :
          ( ~ ndr1_0
          | ~ c2_1(X70)
          | c0_1(X70)
          | c1_1(X70) ) )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | ~ c0_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0
          | c3_1(X72) )
      | ! [X73] :
          ( ~ c2_1(X73)
          | c3_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( ~ c3_1(a21)
        & c0_1(a21)
        & ndr1_0
        & c2_1(a21) ) )
    & ( hskp16
      | hskp27
      | ! [X74] :
          ( ~ c1_1(X74)
          | ~ c3_1(X74)
          | ~ ndr1_0
          | ~ c0_1(X74) ) )
    & ( hskp12
      | ! [X75] :
          ( ~ ndr1_0
          | c3_1(X75)
          | c2_1(X75)
          | ~ c0_1(X75) )
      | hskp22 )
    & ( ( c3_1(a22)
        & ~ c0_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp16
      | hskp14
      | ! [X76] :
          ( c2_1(X76)
          | ~ ndr1_0
          | ~ c1_1(X76)
          | ~ c0_1(X76) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58) ) )
    & ( ! [X77] :
          ( c2_1(X77)
          | ~ c3_1(X77)
          | ~ ndr1_0
          | c0_1(X77) )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c0_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ ndr1_0
          | c2_1(X79)
          | c1_1(X79)
          | ~ c0_1(X79) ) )
    & ( ! [X80] :
          ( ~ ndr1_0
          | ~ c0_1(X80)
          | ~ c2_1(X80)
          | c1_1(X80) )
      | ! [X81] :
          ( ~ ndr1_0
          | ~ c3_1(X81)
          | ~ c1_1(X81)
          | ~ c0_1(X81) )
      | hskp12 )
    & ( ( ndr1_0
        & ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36) )
      | ~ hskp19 )
    & ( ! [X82] :
          ( ~ ndr1_0
          | ~ c1_1(X82)
          | ~ c2_1(X82)
          | ~ c0_1(X82) )
      | ! [X83] :
          ( ~ ndr1_0
          | c0_1(X83)
          | ~ c1_1(X83)
          | c2_1(X83) )
      | hskp6 )
    & ( ~ hskp16
      | ( c0_1(a27)
        & ~ c1_1(a27)
        & c3_1(a27)
        & ndr1_0 ) )
    & ( hskp5
      | hskp28
      | hskp25 )
    & ( hskp0
      | ! [X84] :
          ( ~ c0_1(X84)
          | ~ ndr1_0
          | ~ c3_1(X84)
          | ~ c1_1(X84) )
      | hskp22 )
    & ( hskp8
      | hskp7
      | ! [X85] :
          ( ~ ndr1_0
          | c0_1(X85)
          | c3_1(X85)
          | c2_1(X85) ) )
    & ( ! [X86] :
          ( ~ ndr1_0
          | c2_1(X86)
          | c1_1(X86)
          | ~ c3_1(X86) )
      | hskp23
      | hskp22 )
    & ( hskp24
      | hskp21
      | hskp13 )
    & ( hskp1
      | hskp0
      | ! [X87] :
          ( ~ ndr1_0
          | c1_1(X87)
          | c3_1(X87)
          | c0_1(X87) ) )
    & ( ( ndr1_0
        & c0_1(a9)
        & ~ c3_1(a9)
        & ~ c2_1(a9) )
      | ~ hskp4 )
    & ( ~ hskp6
      | ( ~ c1_1(a13)
        & ~ c3_1(a13)
        & ndr1_0
        & ~ c0_1(a13) ) )
    & ( ~ hskp18
      | ( c1_1(a31)
        & ndr1_0
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( hskp28
      | hskp1
      | hskp20 )
    & ( hskp21
      | ! [X88] :
          ( ~ c1_1(X88)
          | ~ ndr1_0
          | ~ c0_1(X88)
          | c3_1(X88) )
      | hskp10 )
    & ( ! [X89] :
          ( c2_1(X89)
          | ~ c3_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 )
      | hskp12
      | ! [X90] :
          ( c3_1(X90)
          | ~ c0_1(X90)
          | ~ c1_1(X90)
          | ~ ndr1_0 ) )
    & ( ! [X91] :
          ( ~ ndr1_0
          | c1_1(X91)
          | ~ c3_1(X91)
          | ~ c0_1(X91) )
      | hskp15
      | hskp4 )
    & ( ! [X92] :
          ( c3_1(X92)
          | ~ ndr1_0
          | ~ c0_1(X92)
          | c1_1(X92) )
      | ! [X93] :
          ( ~ ndr1_0
          | c0_1(X93)
          | c3_1(X93)
          | ~ c2_1(X93) )
      | ! [X94] :
          ( c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0
          | c3_1(X94) ) )
    & ( ! [X95] :
          ( c3_1(X95)
          | c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ ndr1_0
          | ~ c3_1(X96)
          | c2_1(X96)
          | c0_1(X96) )
      | ! [X97] :
          ( ~ c1_1(X97)
          | ~ c2_1(X97)
          | c3_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp0
      | ! [X98] :
          ( ~ ndr1_0
          | c0_1(X98)
          | c1_1(X98)
          | ~ c2_1(X98) ) )
    & ( hskp27
      | hskp8
      | hskp13 )
    & ( hskp24
      | ! [X99] :
          ( c2_1(X99)
          | ~ c0_1(X99)
          | ~ c1_1(X99)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp15
      | hskp5
      | ! [X100] :
          ( c0_1(X100)
          | c2_1(X100)
          | ~ c3_1(X100)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a7)
        & ndr1_0
        & c3_1(a7)
        & c0_1(a7) )
      | ~ hskp3 )
    & ( hskp24
      | hskp13
      | ! [X101] :
          ( ~ c0_1(X101)
          | c1_1(X101)
          | ~ c3_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( c3_1(X102)
          | ~ ndr1_0
          | ~ c2_1(X102)
          | ~ c0_1(X102) )
      | ! [X103] :
          ( c1_1(X103)
          | ~ c3_1(X103)
          | ~ ndr1_0
          | ~ c0_1(X103) )
      | hskp20 )
    & ( ! [X104] :
          ( c3_1(X104)
          | ~ c2_1(X104)
          | ~ ndr1_0
          | ~ c1_1(X104) )
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ ndr1_0
          | c2_1(X105)
          | ~ c0_1(X105) )
      | ! [X106] :
          ( c1_1(X106)
          | ~ ndr1_0
          | ~ c3_1(X106)
          | c2_1(X106) ) )
    & ( ! [X107] :
          ( ~ ndr1_0
          | ~ c2_1(X107)
          | c1_1(X107)
          | ~ c3_1(X107) )
      | ! [X108] :
          ( c0_1(X108)
          | c3_1(X108)
          | c2_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ ndr1_0
          | c1_1(X109)
          | c2_1(X109)
          | c3_1(X109) ) )
    & ( ! [X110] :
          ( c3_1(X110)
          | ~ ndr1_0
          | ~ c2_1(X110)
          | c1_1(X110) )
      | hskp1
      | hskp10 )
    & ( ~ hskp20
      | ( ~ c0_1(a37)
        & ndr1_0
        & c1_1(a37)
        & c3_1(a37) ) )
    & ( hskp25
      | hskp5
      | ! [X111] :
          ( ~ ndr1_0
          | c2_1(X111)
          | ~ c1_1(X111)
          | ~ c0_1(X111) ) )
    & ( ! [X112] :
          ( ~ ndr1_0
          | c2_1(X112)
          | c1_1(X112)
          | c3_1(X112) )
      | hskp9
      | ! [X113] :
          ( ~ c2_1(X113)
          | ~ ndr1_0
          | c0_1(X113)
          | ~ c1_1(X113) ) )
    & ( hskp11
      | hskp15
      | ! [X114] :
          ( ~ ndr1_0
          | c0_1(X114)
          | c3_1(X114)
          | ~ c2_1(X114) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99) ) )
    & ( ! [X115] :
          ( c2_1(X115)
          | c0_1(X115)
          | ~ ndr1_0
          | c3_1(X115) )
      | ! [X116] :
          ( ~ ndr1_0
          | c1_1(X116)
          | ~ c2_1(X116)
          | c3_1(X116) )
      | hskp5 )
    & ( ( c2_1(a1)
        & ndr1_0
        & ~ c3_1(a1)
        & c1_1(a1) )
      | ~ hskp0 )
    & ( ! [X117] :
          ( ~ c3_1(X117)
          | ~ ndr1_0
          | c2_1(X117)
          | ~ c0_1(X117) )
      | hskp9
      | hskp29 )
    & ( hskp0
      | ! [X118] :
          ( ~ ndr1_0
          | ~ c1_1(X118)
          | ~ c3_1(X118)
          | c2_1(X118) )
      | hskp28 ) ),
    inference(rectify,[],[f6]) ).

fof(f6,plain,
    ( ( hskp30
      | ! [X41] :
          ( ~ c0_1(X41)
          | c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ! [X54] :
          ( ~ ndr1_0
          | ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ c1_1(X54) )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ ndr1_0
          | c1_1(X53)
          | c0_1(X53) )
      | hskp4 )
    & ( ! [X109] :
          ( ~ c1_1(X109)
          | ~ ndr1_0
          | ~ c2_1(X109)
          | ~ c3_1(X109) )
      | ! [X108] :
          ( ~ c0_1(X108)
          | ~ ndr1_0
          | ~ c3_1(X108)
          | ~ c1_1(X108) )
      | hskp25 )
    & ( ! [X115] :
          ( ~ c3_1(X115)
          | ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | ~ c3_1(X116)
          | ~ ndr1_0
          | c1_1(X116) )
      | ! [X117] :
          ( c2_1(X117)
          | ~ c1_1(X117)
          | ~ ndr1_0
          | ~ c3_1(X117) ) )
    & ( hskp4
      | ! [X42] :
          ( ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0
          | c3_1(X42) )
      | hskp21 )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a35)
        & c0_1(a35)
        & c2_1(a35) ) )
    & ( ! [X20] :
          ( ~ c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0
          | c1_1(X20) )
      | hskp18
      | hskp13 )
    & ( ! [X94] :
          ( ~ ndr1_0
          | ~ c3_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94) )
      | hskp30
      | hskp3 )
    & ( hskp20
      | ! [X84] :
          ( c3_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0
          | ~ c1_1(X84) )
      | ! [X85] :
          ( ~ c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0
          | ~ c3_1(X85) ) )
    & ( ! [X45] :
          ( ~ ndr1_0
          | ~ c0_1(X45)
          | ~ c1_1(X45)
          | ~ c2_1(X45) )
      | hskp9
      | ! [X44] :
          ( ~ ndr1_0
          | c2_1(X44)
          | ~ c1_1(X44)
          | c0_1(X44) ) )
    & ( hskp6
      | ! [X57] :
          ( ~ c0_1(X57)
          | ~ ndr1_0
          | ~ c2_1(X57)
          | c3_1(X57) )
      | ! [X58] :
          ( ~ c1_1(X58)
          | c3_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 ) )
    & ( ( ndr1_0
        & ~ c0_1(a24)
        & ~ c2_1(a24)
        & ~ c1_1(a24) )
      | ~ hskp15 )
    & ( hskp19
      | ! [X30] :
          ( ~ ndr1_0
          | ~ c2_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30) )
      | hskp11 )
    & ( ! [X16] :
          ( ~ ndr1_0
          | ~ c2_1(X16)
          | ~ c3_1(X16)
          | ~ c1_1(X16) )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c0_1(X18)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | ~ c2_1(X17)
          | ~ ndr1_0
          | ~ c3_1(X17) ) )
    & ( hskp20
      | hskp22
      | ! [X100] :
          ( c2_1(X100)
          | ~ c3_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X104] :
          ( ~ c3_1(X104)
          | c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | hskp10
      | ! [X103] :
          ( c1_1(X103)
          | ~ c3_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp3
      | ! [X19] :
          ( ~ ndr1_0
          | ~ c2_1(X19)
          | c0_1(X19)
          | c3_1(X19) ) )
    & ( hskp0
      | ! [X86] :
          ( ~ ndr1_0
          | c3_1(X86)
          | c2_1(X86)
          | c0_1(X86) )
      | ! [X87] :
          ( ~ ndr1_0
          | c0_1(X87)
          | ~ c3_1(X87)
          | ~ c2_1(X87) ) )
    & ( hskp7
      | hskp28
      | ! [X118] :
          ( ~ c3_1(X118)
          | ~ ndr1_0
          | c0_1(X118)
          | c2_1(X118) ) )
    & ( ! [X38] :
          ( ~ c0_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0
          | c1_1(X38) )
      | hskp15
      | hskp9 )
    & ( ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) )
      | ~ hskp9 )
    & ( ~ hskp1
      | ( ~ c2_1(a2)
        & ~ c3_1(a2)
        & ndr1_0
        & ~ c0_1(a2) ) )
    & ( ~ hskp27
      | ( c0_1(a12)
        & c3_1(a12)
        & ndr1_0
        & c1_1(a12) ) )
    & ( ~ hskp21
      | ( ~ c2_1(a38)
        & ndr1_0
        & c1_1(a38)
        & c0_1(a38) ) )
    & ( hskp17
      | hskp21
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ ndr1_0
          | ~ c2_1(X51)
          | c0_1(X51) ) )
    & ( hskp17
      | ! [X12] :
          ( c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0
          | ~ c1_1(X12) )
      | hskp16 )
    & ( ! [X8] :
          ( ~ c0_1(X8)
          | c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | hskp17
      | hskp14 )
    & ( hskp24
      | hskp3
      | ! [X31] :
          ( ~ ndr1_0
          | ~ c1_1(X31)
          | ~ c2_1(X31)
          | ~ c3_1(X31) ) )
    & ( hskp23
      | ! [X43] :
          ( ~ ndr1_0
          | ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43) )
      | hskp18 )
    & ( ( ndr1_0
        & c2_1(a20)
        & ~ c3_1(a20)
        & ~ c1_1(a20) )
      | ~ hskp12 )
    & ( ! [X79] :
          ( ~ ndr1_0
          | c1_1(X79)
          | ~ c3_1(X79)
          | ~ c2_1(X79) )
      | ! [X80] :
          ( ~ c0_1(X80)
          | c3_1(X80)
          | ~ ndr1_0
          | c2_1(X80) )
      | ! [X78] :
          ( c0_1(X78)
          | ~ ndr1_0
          | c2_1(X78)
          | ~ c1_1(X78) ) )
    & ( ! [X11] :
          ( ~ ndr1_0
          | c0_1(X11)
          | ~ c1_1(X11)
          | ~ c3_1(X11) )
      | hskp29
      | hskp19 )
    & ( ( ~ c2_1(a11)
        & c0_1(a11)
        & ~ c1_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( hskp26
      | hskp14
      | hskp29 )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a18)
        & c3_1(a18)
        & ~ c0_1(a18) ) )
    & ( ! [X10] :
          ( ~ ndr1_0
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ c3_1(X10) )
      | hskp7
      | ! [X9] :
          ( ~ c0_1(X9)
          | ~ c1_1(X9)
          | ~ ndr1_0
          | ~ c2_1(X9) ) )
    & ( hskp6
      | ! [X89] :
          ( c3_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0
          | ~ c2_1(X89) )
      | ! [X88] :
          ( c0_1(X88)
          | ~ c2_1(X88)
          | ~ ndr1_0
          | c3_1(X88) ) )
    & ( hskp25
      | ! [X111] :
          ( ~ c1_1(X111)
          | ~ ndr1_0
          | ~ c0_1(X111)
          | ~ c3_1(X111) )
      | hskp5 )
    & ( ( ~ c3_1(a70)
        & c0_1(a70)
        & ~ c1_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ~ hskp11
      | ( ~ c3_1(a19)
        & c2_1(a19)
        & ~ c0_1(a19)
        & ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | c2_1(X25)
          | ~ c0_1(X25)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ ndr1_0
          | c3_1(X24)
          | c2_1(X24)
          | c0_1(X24) )
      | hskp27 )
    & ( ! [X64] :
          ( c3_1(X64)
          | ~ ndr1_0
          | c0_1(X64)
          | c1_1(X64) )
      | ! [X63] :
          ( ~ ndr1_0
          | c2_1(X63)
          | ~ c1_1(X63)
          | ~ c0_1(X63) )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | ~ ndr1_0
          | ~ c3_1(X65) ) )
    & ( ! [X75] :
          ( ~ ndr1_0
          | c0_1(X75)
          | ~ c2_1(X75)
          | c1_1(X75) )
      | hskp1
      | ! [X74] :
          ( ~ ndr1_0
          | ~ c3_1(X74)
          | ~ c1_1(X74)
          | c2_1(X74) ) )
    & ( hskp6
      | ! [X106] :
          ( ~ c3_1(X106)
          | c2_1(X106)
          | ~ ndr1_0
          | ~ c1_1(X106) )
      | ! [X107] :
          ( c3_1(X107)
          | ~ ndr1_0
          | c2_1(X107)
          | c0_1(X107) ) )
    & ( ! [X98] :
          ( ~ c3_1(X98)
          | ~ ndr1_0
          | c2_1(X98)
          | ~ c0_1(X98) )
      | ! [X97] :
          ( ~ c0_1(X97)
          | ~ ndr1_0
          | c3_1(X97)
          | ~ c1_1(X97) )
      | ! [X99] :
          ( c2_1(X99)
          | ~ ndr1_0
          | ~ c0_1(X99)
          | ~ c1_1(X99) ) )
    & ( ! [X66] :
          ( c1_1(X66)
          | ~ c0_1(X66)
          | c3_1(X66)
          | ~ ndr1_0 )
      | hskp18
      | ! [X67] :
          ( ~ ndr1_0
          | ~ c2_1(X67)
          | c1_1(X67)
          | ~ c0_1(X67) ) )
    & ( ! [X37] :
          ( c0_1(X37)
          | ~ ndr1_0
          | c2_1(X37)
          | c1_1(X37) )
      | ! [X35] :
          ( c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0
          | c2_1(X35) )
      | ! [X36] :
          ( ~ ndr1_0
          | c1_1(X36)
          | ~ c2_1(X36)
          | c3_1(X36) ) )
    & ( ! [X102] :
          ( c1_1(X102)
          | c0_1(X102)
          | c3_1(X102)
          | ~ ndr1_0 )
      | hskp1
      | hskp2 )
    & ( ( ndr1_0
        & c3_1(a25)
        & c1_1(a25)
        & c2_1(a25) )
      | ~ hskp28 )
    & ( ! [X26] :
          ( c1_1(X26)
          | c2_1(X26)
          | ~ ndr1_0
          | c3_1(X26) )
      | hskp21
      | hskp20 )
    & ( ~ hskp23
      | ( ~ c1_1(a45)
        & ~ c2_1(a45)
        & ndr1_0
        & c3_1(a45) ) )
    & ( hskp9
      | ! [X68] :
          ( ~ ndr1_0
          | c3_1(X68)
          | ~ c2_1(X68)
          | ~ c1_1(X68) )
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ ndr1_0
          | ~ c3_1(X69)
          | c2_1(X69) ) )
    & ( hskp8
      | ! [X40] :
          ( ~ c0_1(X40)
          | ~ c3_1(X40)
          | ~ ndr1_0
          | ~ c1_1(X40) )
      | ! [X39] :
          ( c3_1(X39)
          | ~ c1_1(X39)
          | ~ ndr1_0
          | ~ c0_1(X39) ) )
    & ( ( c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a15)
        & ~ c3_1(a15)
        & ~ c2_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ! [X34] :
          ( c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0
          | ~ c0_1(X34) )
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | ~ ndr1_0
          | c0_1(X33) )
      | hskp11 )
    & ( ~ hskp7
      | ( ~ c0_1(a14)
        & ndr1_0
        & ~ c2_1(a14)
        & c1_1(a14) ) )
    & ( ( c2_1(a54)
        & c3_1(a54)
        & ndr1_0
        & c0_1(a54) )
      | ~ hskp30 )
    & ( ( ~ c0_1(a28)
        & ~ c2_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( hskp2
      | hskp16
      | hskp4 )
    & ( ! [X110] :
          ( c0_1(X110)
          | ~ ndr1_0
          | c2_1(X110)
          | ~ c3_1(X110) )
      | hskp14
      | hskp13 )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( hskp19
      | hskp4
      | hskp28 )
    & ( ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | hskp2
      | ! [X71] :
          ( ~ ndr1_0
          | ~ c2_1(X71)
          | c0_1(X71)
          | c1_1(X71) ) )
    & ( ! [X90] :
          ( ~ c2_1(X90)
          | ~ c0_1(X90)
          | c1_1(X90)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0
          | c3_1(X92) )
      | ! [X91] :
          ( ~ c2_1(X91)
          | c3_1(X91)
          | ~ c1_1(X91)
          | ~ ndr1_0 ) )
    & ( ~ hskp13
      | ( ~ c3_1(a21)
        & c0_1(a21)
        & ndr1_0
        & c2_1(a21) ) )
    & ( hskp16
      | hskp27
      | ! [X62] :
          ( ~ c1_1(X62)
          | ~ c3_1(X62)
          | ~ ndr1_0
          | ~ c0_1(X62) ) )
    & ( hskp12
      | ! [X101] :
          ( ~ ndr1_0
          | c3_1(X101)
          | c2_1(X101)
          | ~ c0_1(X101) )
      | hskp22 )
    & ( ( c3_1(a22)
        & ~ c0_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( hskp16
      | hskp14
      | ! [X52] :
          ( c2_1(X52)
          | ~ ndr1_0
          | ~ c1_1(X52)
          | ~ c0_1(X52) ) )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58) ) )
    & ( ! [X81] :
          ( c2_1(X81)
          | ~ c3_1(X81)
          | ~ ndr1_0
          | c0_1(X81) )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c0_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ ndr1_0
          | c2_1(X82)
          | c1_1(X82)
          | ~ c0_1(X82) ) )
    & ( ! [X21] :
          ( ~ ndr1_0
          | ~ c0_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21) )
      | ! [X22] :
          ( ~ ndr1_0
          | ~ c3_1(X22)
          | ~ c1_1(X22)
          | ~ c0_1(X22) )
      | hskp12 )
    & ( ( ndr1_0
        & ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36) )
      | ~ hskp19 )
    & ( ! [X2] :
          ( ~ ndr1_0
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2) )
      | ! [X1] :
          ( ~ ndr1_0
          | c0_1(X1)
          | ~ c1_1(X1)
          | c2_1(X1) )
      | hskp6 )
    & ( ~ hskp16
      | ( c0_1(a27)
        & ~ c1_1(a27)
        & c3_1(a27)
        & ndr1_0 ) )
    & ( hskp5
      | hskp28
      | hskp25 )
    & ( hskp0
      | ! [X105] :
          ( ~ c0_1(X105)
          | ~ ndr1_0
          | ~ c3_1(X105)
          | ~ c1_1(X105) )
      | hskp22 )
    & ( hskp8
      | hskp7
      | ! [X93] :
          ( ~ ndr1_0
          | c0_1(X93)
          | c3_1(X93)
          | c2_1(X93) ) )
    & ( ! [X23] :
          ( ~ ndr1_0
          | c2_1(X23)
          | c1_1(X23)
          | ~ c3_1(X23) )
      | hskp23
      | hskp22 )
    & ( hskp24
      | hskp21
      | hskp13 )
    & ( hskp1
      | hskp0
      | ! [X76] :
          ( ~ ndr1_0
          | c1_1(X76)
          | c3_1(X76)
          | c0_1(X76) ) )
    & ( ( ndr1_0
        & c0_1(a9)
        & ~ c3_1(a9)
        & ~ c2_1(a9) )
      | ~ hskp4 )
    & ( ~ hskp6
      | ( ~ c1_1(a13)
        & ~ c3_1(a13)
        & ndr1_0
        & ~ c0_1(a13) ) )
    & ( ~ hskp18
      | ( c1_1(a31)
        & ndr1_0
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( hskp28
      | hskp1
      | hskp20 )
    & ( hskp21
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ ndr1_0
          | ~ c0_1(X6)
          | c3_1(X6) )
      | hskp10 )
    & ( ! [X47] :
          ( c2_1(X47)
          | ~ c3_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 )
      | hskp12
      | ! [X46] :
          ( c3_1(X46)
          | ~ c0_1(X46)
          | ~ c1_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X96] :
          ( ~ ndr1_0
          | c1_1(X96)
          | ~ c3_1(X96)
          | ~ c0_1(X96) )
      | hskp15
      | hskp4 )
    & ( ! [X4] :
          ( c3_1(X4)
          | ~ ndr1_0
          | ~ c0_1(X4)
          | c1_1(X4) )
      | ! [X5] :
          ( ~ ndr1_0
          | c0_1(X5)
          | c3_1(X5)
          | ~ c2_1(X5) )
      | ! [X3] :
          ( c2_1(X3)
          | c1_1(X3)
          | ~ ndr1_0
          | c3_1(X3) ) )
    & ( ! [X29] :
          ( c3_1(X29)
          | c2_1(X29)
          | ~ c1_1(X29)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ ndr1_0
          | ~ c3_1(X28)
          | c2_1(X28)
          | c0_1(X28) )
      | ! [X27] :
          ( ~ c1_1(X27)
          | ~ c2_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp0
      | ! [X95] :
          ( ~ ndr1_0
          | c0_1(X95)
          | c1_1(X95)
          | ~ c2_1(X95) ) )
    & ( hskp27
      | hskp8
      | hskp13 )
    & ( hskp24
      | ! [X73] :
          ( c2_1(X73)
          | ~ c0_1(X73)
          | ~ c1_1(X73)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp15
      | hskp5
      | ! [X59] :
          ( c0_1(X59)
          | c2_1(X59)
          | ~ c3_1(X59)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a7)
        & ndr1_0
        & c3_1(a7)
        & c0_1(a7) )
      | ~ hskp3 )
    & ( hskp24
      | hskp13
      | ! [X32] :
          ( ~ c0_1(X32)
          | c1_1(X32)
          | ~ c3_1(X32)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c3_1(X56)
          | ~ ndr1_0
          | ~ c2_1(X56)
          | ~ c0_1(X56) )
      | ! [X55] :
          ( c1_1(X55)
          | ~ c3_1(X55)
          | ~ ndr1_0
          | ~ c0_1(X55) )
      | hskp20 )
    & ( ! [X49] :
          ( c3_1(X49)
          | ~ c2_1(X49)
          | ~ ndr1_0
          | ~ c1_1(X49) )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ ndr1_0
          | c2_1(X50)
          | ~ c0_1(X50) )
      | ! [X48] :
          ( c1_1(X48)
          | ~ ndr1_0
          | ~ c3_1(X48)
          | c2_1(X48) ) )
    & ( ! [X14] :
          ( ~ ndr1_0
          | ~ c2_1(X14)
          | c1_1(X14)
          | ~ c3_1(X14) )
      | ! [X13] :
          ( c0_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ ndr1_0
          | c1_1(X15)
          | c2_1(X15)
          | c3_1(X15) ) )
    & ( ! [X7] :
          ( c3_1(X7)
          | ~ ndr1_0
          | ~ c2_1(X7)
          | c1_1(X7) )
      | hskp1
      | hskp10 )
    & ( ~ hskp20
      | ( ~ c0_1(a37)
        & ndr1_0
        & c1_1(a37)
        & c3_1(a37) ) )
    & ( hskp25
      | hskp5
      | ! [X77] :
          ( ~ ndr1_0
          | c2_1(X77)
          | ~ c1_1(X77)
          | ~ c0_1(X77) ) )
    & ( ! [X61] :
          ( ~ ndr1_0
          | c2_1(X61)
          | c1_1(X61)
          | c3_1(X61) )
      | hskp9
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ ndr1_0
          | c0_1(X60)
          | ~ c1_1(X60) ) )
    & ( hskp11
      | hskp15
      | ! [X114] :
          ( ~ ndr1_0
          | c0_1(X114)
          | c3_1(X114)
          | ~ c2_1(X114) ) )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99) ) )
    & ( ! [X112] :
          ( c2_1(X112)
          | c0_1(X112)
          | ~ ndr1_0
          | c3_1(X112) )
      | ! [X113] :
          ( ~ ndr1_0
          | c1_1(X113)
          | ~ c2_1(X113)
          | c3_1(X113) )
      | hskp5 )
    & ( ( c2_1(a1)
        & ndr1_0
        & ~ c3_1(a1)
        & c1_1(a1) )
      | ~ hskp0 )
    & ( ! [X0] :
          ( ~ c3_1(X0)
          | ~ ndr1_0
          | c2_1(X0)
          | ~ c0_1(X0) )
      | hskp9
      | hskp29 )
    & ( hskp0
      | ! [X72] :
          ( ~ ndr1_0
          | ~ c1_1(X72)
          | ~ c3_1(X72)
          | c2_1(X72) )
      | hskp28 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | ~ c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | hskp12 )
    & ( ~ hskp1
      | ( ~ c2_1(a2)
        & ~ c3_1(a2)
        & ndr1_0
        & ~ c0_1(a2) ) )
    & ( ~ hskp20
      | ( ~ c0_1(a37)
        & ndr1_0
        & c1_1(a37)
        & c3_1(a37) ) )
    & ( hskp24
      | hskp21
      | hskp13 )
    & ( ~ hskp13
      | ( ~ c3_1(a21)
        & c0_1(a21)
        & ndr1_0
        & c2_1(a21) ) )
    & ( ! [X34] :
          ( c2_1(X34)
          | ~ c3_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | hskp11
      | ! [X33] :
          ( ~ c3_1(X33)
          | c2_1(X33)
          | c0_1(X33)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a11)
        & c0_1(a11)
        & ~ c1_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ndr1_0
        & ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36) )
      | ~ hskp19 )
    & ( hskp5
      | hskp15
      | ! [X59] :
          ( ~ c3_1(X59)
          | c2_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp7
      | ! [X118] :
          ( c0_1(X118)
          | ~ c3_1(X118)
          | c2_1(X118)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a54)
        & c3_1(a54)
        & ndr1_0
        & c0_1(a54) )
      | ~ hskp30 )
    & ( hskp5
      | ! [X111] :
          ( ~ c1_1(X111)
          | ~ c0_1(X111)
          | ~ c3_1(X111)
          | ~ ndr1_0 )
      | hskp25 )
    & ( ! [X23] :
          ( c1_1(X23)
          | c2_1(X23)
          | ~ c3_1(X23)
          | ~ ndr1_0 )
      | hskp23
      | hskp22 )
    & ( ! [X97] :
          ( c3_1(X97)
          | ~ c1_1(X97)
          | ~ c0_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c0_1(X98)
          | ~ c3_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c1_1(X99)
          | ~ c0_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 ) )
    & ( ~ hskp21
      | ( ~ c2_1(a38)
        & ndr1_0
        & c1_1(a38)
        & c0_1(a38) ) )
    & ( ! [X61] :
          ( c2_1(X61)
          | c1_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c0_1(X60)
          | ~ c1_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | hskp9 )
    & ( hskp3
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X15] :
          ( c3_1(X15)
          | c2_1(X15)
          | c1_1(X15)
          | ~ ndr1_0 )
      | ! [X13] :
          ( c2_1(X13)
          | c3_1(X13)
          | c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c3_1(X14)
          | c1_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c1_1(X44)
          | c0_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | hskp9
      | ! [X45] :
          ( ~ c1_1(X45)
          | ~ c0_1(X45)
          | ~ c2_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X2] :
          ( ~ c0_1(X2)
          | ~ c1_1(X2)
          | ~ c2_1(X2)
          | ~ ndr1_0 )
      | ! [X1] :
          ( ~ c1_1(X1)
          | c0_1(X1)
          | c2_1(X1)
          | ~ ndr1_0 ) )
    & ( ( c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp10
      | hskp21
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( c0_1(X93)
          | c2_1(X93)
          | c3_1(X93)
          | ~ ndr1_0 )
      | hskp8
      | hskp7 )
    & ( hskp1
      | ! [X7] :
          ( ~ c2_1(X7)
          | c1_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 )
      | hskp10 )
    & ( ! [X94] :
          ( ~ c3_1(X94)
          | ~ c0_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | hskp30
      | hskp3 )
    & ( ! [X96] :
          ( ~ c3_1(X96)
          | ~ c0_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | hskp15
      | hskp4 )
    & ( ~ hskp16
      | ( c0_1(a27)
        & ~ c1_1(a27)
        & c3_1(a27)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c2_1(a20)
        & ~ c3_1(a20)
        & ~ c1_1(a20) )
      | ~ hskp12 )
    & ( ! [X26] :
          ( c2_1(X26)
          | c1_1(X26)
          | c3_1(X26)
          | ~ ndr1_0 )
      | hskp21
      | hskp20 )
    & ( ( ndr1_0
        & c0_1(a9)
        & ~ c3_1(a9)
        & ~ c2_1(a9) )
      | ~ hskp4 )
    & ( ! [X92] :
          ( c3_1(X92)
          | c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c1_1(X91)
          | ~ c2_1(X91)
          | c3_1(X91)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c3_1(X55)
          | c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp24
      | ! [X73] :
          ( ~ c1_1(X73)
          | c2_1(X73)
          | ~ c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ( ~ c2_1(a7)
        & ndr1_0
        & c3_1(a7)
        & c0_1(a7) )
      | ~ hskp3 )
    & ( ! [X63] :
          ( ~ c1_1(X63)
          | ~ c0_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c3_1(X65)
          | ~ c1_1(X65)
          | c2_1(X65)
          | ~ ndr1_0 )
      | ! [X64] :
          ( c1_1(X64)
          | c0_1(X64)
          | c3_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp15
      | ! [X38] :
          ( ~ c0_1(X38)
          | c1_1(X38)
          | ~ c2_1(X38)
          | ~ ndr1_0 ) )
    & ( ~ hskp27
      | ( c0_1(a12)
        & c3_1(a12)
        & ndr1_0
        & c1_1(a12) ) )
    & ( ! [X88] :
          ( ~ c2_1(X88)
          | c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | hskp6
      | ! [X89] :
          ( c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X16] :
          ( ~ c3_1(X16)
          | ~ c1_1(X16)
          | ~ c2_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c2_1(X17)
          | ~ c3_1(X17)
          | ~ c0_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( c0_1(X18)
          | ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ ndr1_0 ) )
    & ( ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( c0_1(X71)
          | c1_1(X71)
          | ~ c2_1(X71)
          | ~ ndr1_0 )
      | hskp2 )
    & ( ( ~ c0_1(a28)
        & ~ c2_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ! [X110] :
          ( c0_1(X110)
          | c2_1(X110)
          | ~ c3_1(X110)
          | ~ ndr1_0 )
      | hskp14
      | hskp13 )
    & ( ! [X36] :
          ( c1_1(X36)
          | ~ c2_1(X36)
          | c3_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c2_1(X35)
          | c3_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp5
      | ! [X77] :
          ( c2_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 ) )
    & ( ! [X87] :
          ( c0_1(X87)
          | ~ c2_1(X87)
          | ~ c3_1(X87)
          | ~ ndr1_0 )
      | ! [X86] :
          ( c3_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | hskp0 )
    & ( hskp20
      | ! [X84] :
          ( c3_1(X84)
          | ~ c1_1(X84)
          | ~ c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( c0_1(X85)
          | ~ c3_1(X85)
          | ~ c2_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp29
      | hskp9
      | ! [X0] :
          ( c2_1(X0)
          | ~ c0_1(X0)
          | ~ c3_1(X0)
          | ~ ndr1_0 ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a18)
        & c3_1(a18)
        & ~ c0_1(a18) ) )
    & ( hskp18
      | hskp13
      | ! [X20] :
          ( c1_1(X20)
          | c2_1(X20)
          | ~ c3_1(X20)
          | ~ ndr1_0 ) )
    & ( ~ hskp23
      | ( ~ c1_1(a45)
        & ~ c2_1(a45)
        & ndr1_0
        & c3_1(a45) ) )
    & ( hskp3
      | hskp18
      | ! [X19] :
          ( ~ c2_1(X19)
          | c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( ( c2_1(a1)
        & ndr1_0
        & ~ c3_1(a1)
        & c1_1(a1) )
      | ~ hskp0 )
    & ( hskp27
      | hskp8
      | hskp13 )
    & ( ! [X25] :
          ( ~ c0_1(X25)
          | ~ c1_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X24] :
          ( c0_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | hskp27 )
    & ( ! [X21] :
          ( ~ c0_1(X21)
          | c1_1(X21)
          | ~ c2_1(X21)
          | ~ ndr1_0 )
      | hskp12
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 ) )
    & ( ! [X11] :
          ( c0_1(X11)
          | ~ c3_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | hskp29
      | hskp19 )
    & ( ! [X83] :
          ( c0_1(X83)
          | ~ c3_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c2_1(X82)
          | c1_1(X82)
          | ~ c0_1(X82)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c0_1(X81)
          | c2_1(X81)
          | ~ ndr1_0 ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a35)
        & c0_1(a35)
        & c2_1(a35) ) )
    & ( hskp2
      | hskp1
      | ! [X102] :
          ( c3_1(X102)
          | c0_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 ) )
    & ( ~ hskp11
      | ( ~ c3_1(a19)
        & c2_1(a19)
        & ~ c0_1(a19)
        & ndr1_0 ) )
    & ( ! [X12] :
          ( c0_1(X12)
          | c3_1(X12)
          | ~ c1_1(X12)
          | ~ ndr1_0 )
      | hskp17
      | hskp16 )
    & ( ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) )
      | ~ hskp9 )
    & ( ~ hskp18
      | ( c1_1(a31)
        & ndr1_0
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( hskp11
      | hskp19
      | ! [X30] :
          ( ~ c2_1(X30)
          | ~ c0_1(X30)
          | ~ c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X8] :
          ( ~ c0_1(X8)
          | c2_1(X8)
          | ~ c1_1(X8)
          | ~ ndr1_0 )
      | hskp14 )
    & ( hskp25
      | ! [X108] :
          ( ~ c3_1(X108)
          | ~ c1_1(X108)
          | ~ c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( ~ c2_1(X109)
          | ~ c3_1(X109)
          | ~ c1_1(X109)
          | ~ ndr1_0 ) )
    & ( ( ~ c1_1(a15)
        & ~ c3_1(a15)
        & ~ c2_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( hskp0
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c1_1(X105)
          | ~ c0_1(X105)
          | ~ ndr1_0 )
      | hskp22 )
    & ( ! [X62] :
          ( ~ c3_1(X62)
          | ~ c0_1(X62)
          | ~ c1_1(X62)
          | ~ ndr1_0 )
      | hskp27
      | hskp16 )
    & ( ! [X67] :
          ( c1_1(X67)
          | ~ c2_1(X67)
          | ~ c0_1(X67)
          | ~ ndr1_0 )
      | hskp18
      | ! [X66] :
          ( c1_1(X66)
          | c3_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X43] :
          ( ~ c0_1(X43)
          | ~ c3_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | hskp18 )
    & ( ! [X39] :
          ( ~ c1_1(X39)
          | ~ c0_1(X39)
          | c3_1(X39)
          | ~ ndr1_0 )
      | hskp8
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c0_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c1_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp4
      | hskp28 )
    & ( hskp4
      | hskp21
      | ! [X42] :
          ( c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c3_1(X28)
          | c2_1(X28)
          | c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | ~ c1_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 )
      | ! [X27] :
          ( c3_1(X27)
          | ~ c1_1(X27)
          | ~ c2_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X100] :
          ( ~ c3_1(X100)
          | c2_1(X100)
          | c1_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( ( ndr1_0
        & c3_1(a25)
        & c1_1(a25)
        & c2_1(a25) )
      | ~ hskp28 )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58) ) )
    & ( ! [X106] :
          ( ~ c1_1(X106)
          | ~ c3_1(X106)
          | c2_1(X106)
          | ~ ndr1_0 )
      | hskp6
      | ! [X107] :
          ( c0_1(X107)
          | c2_1(X107)
          | c3_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c1_1(X48)
          | c2_1(X48)
          | ~ c3_1(X48)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c2_1(X50)
          | ~ c0_1(X50)
          | ~ c3_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X3] :
          ( c1_1(X3)
          | c2_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 )
      | ! [X5] :
          ( c3_1(X5)
          | ~ c2_1(X5)
          | c0_1(X5)
          | ~ ndr1_0 )
      | ! [X4] :
          ( c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp28
      | hskp25 )
    & ( hskp15
      | ! [X114] :
          ( c3_1(X114)
          | ~ c2_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | hskp11 )
    & ( ! [X104] :
          ( c2_1(X104)
          | ~ c3_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 )
      | hskp10
      | ! [X103] :
          ( ~ c3_1(X103)
          | c1_1(X103)
          | ~ c2_1(X103)
          | ~ ndr1_0 ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ! [X117] :
          ( ~ c3_1(X117)
          | ~ c1_1(X117)
          | c2_1(X117)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | ~ c3_1(X116)
          | c1_1(X116)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c0_1(X115)
          | ~ c1_1(X115)
          | ~ c3_1(X115)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | ~ c1_1(X58)
          | ~ ndr1_0 )
      | hskp6 )
    & ( hskp2
      | hskp16
      | hskp4 )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c0_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | hskp1 )
    & ( ! [X113] :
          ( c3_1(X113)
          | ~ c2_1(X113)
          | c1_1(X113)
          | ~ ndr1_0 )
      | hskp5
      | ! [X112] :
          ( c2_1(X112)
          | c0_1(X112)
          | c3_1(X112)
          | ~ ndr1_0 ) )
    & ( ! [X76] :
          ( c1_1(X76)
          | c0_1(X76)
          | c3_1(X76)
          | ~ ndr1_0 )
      | hskp1
      | hskp0 )
    & ( ! [X69] :
          ( ~ c1_1(X69)
          | ~ c3_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | hskp9
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c1_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X41] :
          ( ~ c0_1(X41)
          | c1_1(X41)
          | ~ c2_1(X41)
          | ~ ndr1_0 )
      | hskp12 )
    & ( hskp3
      | ! [X31] :
          ( ~ c2_1(X31)
          | ~ c1_1(X31)
          | ~ c3_1(X31)
          | ~ ndr1_0 )
      | hskp24 )
    & ( ( ~ c3_1(a70)
        & c0_1(a70)
        & ~ c1_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99) ) )
    & ( hskp17
      | hskp21
      | ! [X51] :
          ( ~ c2_1(X51)
          | c0_1(X51)
          | ~ c3_1(X51)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ c2_1(X9)
          | ~ ndr1_0 )
      | hskp7
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | ~ c1_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp16
      | ! [X52] :
          ( ~ c1_1(X52)
          | ~ c0_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp13
      | ! [X32] :
          ( ~ c0_1(X32)
          | ~ c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp26
      | hskp14
      | hskp29 )
    & ( ! [X78] :
          ( ~ c1_1(X78)
          | c0_1(X78)
          | c2_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c1_1(X79)
          | ~ c2_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | c3_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp12
      | ! [X101] :
          ( c3_1(X101)
          | c2_1(X101)
          | ~ c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ~ hskp6
      | ( ~ c1_1(a13)
        & ~ c3_1(a13)
        & ndr1_0
        & ~ c0_1(a13) ) )
    & ( ! [X53] :
          ( ~ c3_1(X53)
          | c1_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 )
      | hskp4
      | ! [X54] :
          ( ~ c0_1(X54)
          | ~ c3_1(X54)
          | ~ c1_1(X54)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a22)
        & ~ c0_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp7
      | ( ~ c0_1(a14)
        & ndr1_0
        & ~ c2_1(a14)
        & c1_1(a14) ) )
    & ( hskp28
      | hskp1
      | hskp20 )
    & ( ( ndr1_0
        & ~ c0_1(a24)
        & ~ c2_1(a24)
        & ~ c1_1(a24) )
      | ~ hskp15 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c0_1(X46)
            | c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | ~ c3_1(X47)
            | c2_1(X47) ) )
      | hskp12 )
    & ( ~ hskp1
      | ( ~ c2_1(a2)
        & ~ c3_1(a2)
        & ndr1_0
        & ~ c0_1(a2) ) )
    & ( ~ hskp20
      | ( ~ c0_1(a37)
        & ndr1_0
        & c1_1(a37)
        & c3_1(a37) ) )
    & ( hskp24
      | hskp21
      | hskp13 )
    & ( ~ hskp13
      | ( ~ c3_1(a21)
        & c0_1(a21)
        & ndr1_0
        & c2_1(a21) ) )
    & ( ! [X34] :
          ( ndr1_0
         => ( c2_1(X34)
            | ~ c3_1(X34)
            | ~ c0_1(X34) ) )
      | hskp11
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | c2_1(X33)
            | c0_1(X33) ) ) )
    & ( ( ~ c2_1(a11)
        & c0_1(a11)
        & ~ c1_1(a11)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ndr1_0
        & ~ c1_1(a36)
        & c3_1(a36)
        & c2_1(a36) )
      | ~ hskp19 )
    & ( hskp5
      | hskp15
      | ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | c2_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp28
      | hskp7
      | ! [X118] :
          ( ndr1_0
         => ( c0_1(X118)
            | ~ c3_1(X118)
            | c2_1(X118) ) ) )
    & ( ( c2_1(a54)
        & c3_1(a54)
        & ndr1_0
        & c0_1(a54) )
      | ~ hskp30 )
    & ( hskp5
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | ~ c0_1(X111)
            | ~ c3_1(X111) ) )
      | hskp25 )
    & ( ! [X23] :
          ( ndr1_0
         => ( c1_1(X23)
            | c2_1(X23)
            | ~ c3_1(X23) ) )
      | hskp23
      | hskp22 )
    & ( ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | ~ c1_1(X97)
            | ~ c0_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c0_1(X98)
            | ~ c3_1(X98)
            | c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c1_1(X99)
            | ~ c0_1(X99)
            | c2_1(X99) ) ) )
    & ( ~ hskp21
      | ( ~ c2_1(a38)
        & ndr1_0
        & c1_1(a38)
        & c0_1(a38) ) )
    & ( ! [X61] :
          ( ndr1_0
         => ( c2_1(X61)
            | c1_1(X61)
            | c3_1(X61) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c0_1(X60)
            | ~ c1_1(X60)
            | ~ c2_1(X60) ) )
      | hskp9 )
    & ( hskp3
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) )
      | hskp0 )
    & ( ! [X15] :
          ( ndr1_0
         => ( c3_1(X15)
            | c2_1(X15)
            | c1_1(X15) ) )
      | ! [X13] :
          ( ndr1_0
         => ( c2_1(X13)
            | c3_1(X13)
            | c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | c1_1(X14)
            | ~ c2_1(X14) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c1_1(X44)
            | c0_1(X44)
            | c2_1(X44) ) )
      | hskp9
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | ~ c0_1(X45)
            | ~ c2_1(X45) ) ) )
    & ( hskp6
      | ! [X2] :
          ( ndr1_0
         => ( ~ c0_1(X2)
            | ~ c1_1(X2)
            | ~ c2_1(X2) ) )
      | ! [X1] :
          ( ndr1_0
         => ( ~ c1_1(X1)
            | c0_1(X1)
            | c2_1(X1) ) ) )
    & ( ( c1_1(a3)
        & c3_1(a3)
        & ~ c2_1(a3)
        & ndr1_0 )
      | ~ hskp2 )
    & ( hskp10
      | hskp21
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( c0_1(X93)
            | c2_1(X93)
            | c3_1(X93) ) )
      | hskp8
      | hskp7 )
    & ( hskp1
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | c1_1(X7)
            | c3_1(X7) ) )
      | hskp10 )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c0_1(X94)
            | ~ c1_1(X94) ) )
      | hskp30
      | hskp3 )
    & ( ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | ~ c0_1(X96)
            | c1_1(X96) ) )
      | hskp15
      | hskp4 )
    & ( ~ hskp16
      | ( c0_1(a27)
        & ~ c1_1(a27)
        & c3_1(a27)
        & ndr1_0 ) )
    & ( ( ndr1_0
        & c2_1(a20)
        & ~ c3_1(a20)
        & ~ c1_1(a20) )
      | ~ hskp12 )
    & ( ! [X26] :
          ( ndr1_0
         => ( c2_1(X26)
            | c1_1(X26)
            | c3_1(X26) ) )
      | hskp21
      | hskp20 )
    & ( ( ndr1_0
        & c0_1(a9)
        & ~ c3_1(a9)
        & ~ c2_1(a9) )
      | ~ hskp4 )
    & ( ! [X92] :
          ( ndr1_0
         => ( c3_1(X92)
            | c0_1(X92)
            | c2_1(X92) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c1_1(X91)
            | ~ c2_1(X91)
            | c3_1(X91) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c1_1(X90)
            | ~ c0_1(X90) ) ) )
    & ( hskp20
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | c1_1(X55)
            | ~ c0_1(X55) ) ) )
    & ( hskp6
      | hskp24
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c2_1(X73)
            | ~ c0_1(X73) ) ) )
    & ( ( ~ c2_1(a7)
        & ndr1_0
        & c3_1(a7)
        & c0_1(a7) )
      | ~ hskp3 )
    & ( ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | ~ c0_1(X63)
            | c2_1(X63) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c1_1(X65)
            | c2_1(X65) ) )
      | ! [X64] :
          ( ndr1_0
         => ( c1_1(X64)
            | c0_1(X64)
            | c3_1(X64) ) ) )
    & ( hskp9
      | hskp15
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c1_1(X38)
            | ~ c2_1(X38) ) ) )
    & ( ~ hskp27
      | ( c0_1(a12)
        & c3_1(a12)
        & ndr1_0
        & c1_1(a12) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c3_1(X88)
            | c0_1(X88) ) )
      | hskp6
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | ~ c2_1(X89)
            | ~ c1_1(X89) ) ) )
    & ( ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c1_1(X16)
            | ~ c2_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c2_1(X17)
            | ~ c3_1(X17)
            | ~ c0_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( c0_1(X18)
            | ~ c3_1(X18)
            | ~ c2_1(X18) ) ) )
    & ( ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( c0_1(X71)
            | c1_1(X71)
            | ~ c2_1(X71) ) )
      | hskp2 )
    & ( ( ~ c0_1(a28)
        & ~ c2_1(a28)
        & c3_1(a28)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ! [X110] :
          ( ndr1_0
         => ( c0_1(X110)
            | c2_1(X110)
            | ~ c3_1(X110) ) )
      | hskp14
      | hskp13 )
    & ( ! [X36] :
          ( ndr1_0
         => ( c1_1(X36)
            | ~ c2_1(X36)
            | c3_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c2_1(X35)
            | c3_1(X35)
            | ~ c1_1(X35) ) ) )
    & ( hskp25
      | hskp5
      | ! [X77] :
          ( ndr1_0
         => ( c2_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) ) )
    & ( ! [X87] :
          ( ndr1_0
         => ( c0_1(X87)
            | ~ c2_1(X87)
            | ~ c3_1(X87) ) )
      | ! [X86] :
          ( ndr1_0
         => ( c3_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) )
      | hskp0 )
    & ( hskp20
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | ~ c1_1(X84)
            | ~ c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( c0_1(X85)
            | ~ c3_1(X85)
            | ~ c2_1(X85) ) ) )
    & ( hskp29
      | hskp9
      | ! [X0] :
          ( ndr1_0
         => ( c2_1(X0)
            | ~ c0_1(X0)
            | ~ c3_1(X0) ) ) )
    & ( ~ hskp10
      | ( ndr1_0
        & ~ c1_1(a18)
        & c3_1(a18)
        & ~ c0_1(a18) ) )
    & ( hskp18
      | hskp13
      | ! [X20] :
          ( ndr1_0
         => ( c1_1(X20)
            | c2_1(X20)
            | ~ c3_1(X20) ) ) )
    & ( ~ hskp23
      | ( ~ c1_1(a45)
        & ~ c2_1(a45)
        & ndr1_0
        & c3_1(a45) ) )
    & ( hskp3
      | hskp18
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | c0_1(X19)
            | c3_1(X19) ) ) )
    & ( ( c2_1(a1)
        & ndr1_0
        & ~ c3_1(a1)
        & c1_1(a1) )
      | ~ hskp0 )
    & ( hskp27
      | hskp8
      | hskp13 )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c0_1(X25)
            | ~ c1_1(X25)
            | c2_1(X25) ) )
      | ! [X24] :
          ( ndr1_0
         => ( c0_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) )
      | hskp27 )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c0_1(X21)
            | c1_1(X21)
            | ~ c2_1(X21) ) )
      | hskp12
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | ~ c1_1(X22) ) ) )
    & ( ! [X11] :
          ( ndr1_0
         => ( c0_1(X11)
            | ~ c3_1(X11)
            | ~ c1_1(X11) ) )
      | hskp29
      | hskp19 )
    & ( ! [X83] :
          ( ndr1_0
         => ( c0_1(X83)
            | ~ c3_1(X83)
            | c1_1(X83) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c2_1(X82)
            | c1_1(X82)
            | ~ c0_1(X82) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c0_1(X81)
            | c2_1(X81) ) ) )
    & ( ~ hskp29
      | ( ndr1_0
        & c1_1(a35)
        & c0_1(a35)
        & c2_1(a35) ) )
    & ( hskp2
      | hskp1
      | ! [X102] :
          ( ndr1_0
         => ( c3_1(X102)
            | c0_1(X102)
            | c1_1(X102) ) ) )
    & ( ~ hskp11
      | ( ~ c3_1(a19)
        & c2_1(a19)
        & ~ c0_1(a19)
        & ndr1_0 ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c0_1(X12)
            | c3_1(X12)
            | ~ c1_1(X12) ) )
      | hskp17
      | hskp16 )
    & ( ( ndr1_0
        & c0_1(a16)
        & c1_1(a16)
        & ~ c3_1(a16) )
      | ~ hskp9 )
    & ( ~ hskp18
      | ( c1_1(a31)
        & ndr1_0
        & ~ c0_1(a31)
        & ~ c3_1(a31) ) )
    & ( hskp11
      | hskp19
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | ~ c0_1(X30)
            | ~ c1_1(X30) ) ) )
    & ( hskp17
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | c2_1(X8)
            | ~ c1_1(X8) ) )
      | hskp14 )
    & ( hskp25
      | ! [X108] :
          ( ndr1_0
         => ( ~ c3_1(X108)
            | ~ c1_1(X108)
            | ~ c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( ~ c2_1(X109)
            | ~ c3_1(X109)
            | ~ c1_1(X109) ) ) )
    & ( ( ~ c1_1(a15)
        & ~ c3_1(a15)
        & ~ c2_1(a15)
        & ndr1_0 )
      | ~ hskp8 )
    & ( hskp0
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c1_1(X105)
            | ~ c0_1(X105) ) )
      | hskp22 )
    & ( ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c0_1(X62)
            | ~ c1_1(X62) ) )
      | hskp27
      | hskp16 )
    & ( ! [X67] :
          ( ndr1_0
         => ( c1_1(X67)
            | ~ c2_1(X67)
            | ~ c0_1(X67) ) )
      | hskp18
      | ! [X66] :
          ( ndr1_0
         => ( c1_1(X66)
            | c3_1(X66)
            | ~ c0_1(X66) ) ) )
    & ( hskp23
      | ! [X43] :
          ( ndr1_0
         => ( ~ c0_1(X43)
            | ~ c3_1(X43)
            | c1_1(X43) ) )
      | hskp18 )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c1_1(X39)
            | ~ c0_1(X39)
            | c3_1(X39) ) )
      | hskp8
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c0_1(X40)
            | ~ c1_1(X40) ) ) )
    & ( hskp0
      | hskp28
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c1_1(X72)
            | c2_1(X72) ) ) )
    & ( hskp19
      | hskp4
      | hskp28 )
    & ( hskp4
      | hskp21
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | c2_1(X28)
            | c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | ~ c1_1(X29)
            | c2_1(X29) ) )
      | ! [X27] :
          ( ndr1_0
         => ( c3_1(X27)
            | ~ c1_1(X27)
            | ~ c2_1(X27) ) ) )
    & ( hskp22
      | hskp20
      | ! [X100] :
          ( ndr1_0
         => ( ~ c3_1(X100)
            | c2_1(X100)
            | c1_1(X100) ) ) )
    & ( hskp9
      | hskp2
      | hskp17 )
    & ( ( ndr1_0
        & c3_1(a25)
        & c1_1(a25)
        & c2_1(a25) )
      | ~ hskp28 )
    & ( ~ hskp24
      | ( ndr1_0
        & ~ c1_1(a58)
        & ~ c0_1(a58)
        & c2_1(a58) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c1_1(X106)
            | ~ c3_1(X106)
            | c2_1(X106) ) )
      | hskp6
      | ! [X107] :
          ( ndr1_0
         => ( c0_1(X107)
            | c2_1(X107)
            | c3_1(X107) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c3_1(X49) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c1_1(X48)
            | c2_1(X48)
            | ~ c3_1(X48) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c2_1(X50)
            | ~ c0_1(X50)
            | ~ c3_1(X50) ) ) )
    & ( ! [X3] :
          ( ndr1_0
         => ( c1_1(X3)
            | c2_1(X3)
            | c3_1(X3) ) )
      | ! [X5] :
          ( ndr1_0
         => ( c3_1(X5)
            | ~ c2_1(X5)
            | c0_1(X5) ) )
      | ! [X4] :
          ( ndr1_0
         => ( c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp5
      | hskp28
      | hskp25 )
    & ( hskp15
      | ! [X114] :
          ( ndr1_0
         => ( c3_1(X114)
            | ~ c2_1(X114)
            | c0_1(X114) ) )
      | hskp11 )
    & ( ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | ~ c3_1(X104)
            | c0_1(X104) ) )
      | hskp10
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | c1_1(X103)
            | ~ c2_1(X103) ) ) )
    & ( ~ hskp22
      | ( ndr1_0
        & c0_1(a42)
        & c2_1(a42)
        & ~ c1_1(a42) ) )
    & ( ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c1_1(X117)
            | c2_1(X117) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | ~ c3_1(X116)
            | c1_1(X116) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c0_1(X115)
            | ~ c1_1(X115)
            | ~ c3_1(X115) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c3_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c3_1(X58)
            | ~ c1_1(X58) ) )
      | hskp6 )
    & ( hskp2
      | hskp16
      | hskp4 )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c3_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c0_1(X75)
            | c1_1(X75) ) )
      | hskp1 )
    & ( ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | ~ c2_1(X113)
            | c1_1(X113) ) )
      | hskp5
      | ! [X112] :
          ( ndr1_0
         => ( c2_1(X112)
            | c0_1(X112)
            | c3_1(X112) ) ) )
    & ( ! [X76] :
          ( ndr1_0
         => ( c1_1(X76)
            | c0_1(X76)
            | c3_1(X76) ) )
      | hskp1
      | hskp0 )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | ~ c3_1(X69)
            | c2_1(X69) ) )
      | hskp9
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c1_1(X68)
            | c3_1(X68) ) ) )
    & ( hskp30
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c1_1(X41)
            | ~ c2_1(X41) ) )
      | hskp12 )
    & ( hskp3
      | ! [X31] :
          ( ndr1_0
         => ( ~ c2_1(X31)
            | ~ c1_1(X31)
            | ~ c3_1(X31) ) )
      | hskp24 )
    & ( ( ~ c3_1(a70)
        & c0_1(a70)
        & ~ c1_1(a70)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ~ hskp26
      | ( ndr1_0
        & c1_1(a99)
        & ~ c0_1(a99)
        & c2_1(a99) ) )
    & ( hskp17
      | hskp21
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | c0_1(X51)
            | ~ c3_1(X51) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | ~ c2_1(X9) ) )
      | hskp7
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c0_1(X10)
            | ~ c1_1(X10) ) ) )
    & ( hskp14
      | hskp16
      | ! [X52] :
          ( ndr1_0
         => ( ~ c1_1(X52)
            | ~ c0_1(X52)
            | c2_1(X52) ) ) )
    & ( hskp24
      | hskp13
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | ~ c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp26
      | hskp14
      | hskp29 )
    & ( ! [X78] :
          ( ndr1_0
         => ( ~ c1_1(X78)
            | c0_1(X78)
            | c2_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c1_1(X79)
            | ~ c2_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | c3_1(X80)
            | c2_1(X80) ) ) )
    & ( hskp22
      | hskp12
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | c2_1(X101)
            | ~ c0_1(X101) ) ) )
    & ( ~ hskp6
      | ( ~ c1_1(a13)
        & ~ c3_1(a13)
        & ndr1_0
        & ~ c0_1(a13) ) )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | c1_1(X53)
            | c0_1(X53) ) )
      | hskp4
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | ~ c3_1(X54)
            | ~ c1_1(X54) ) ) )
    & ( ( c3_1(a22)
        & ~ c0_1(a22)
        & c2_1(a22)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ~ hskp7
      | ( ~ c0_1(a14)
        & ndr1_0
        & ~ c2_1(a14)
        & c1_1(a14) ) )
    & ( hskp28
      | hskp1
      | hskp20 )
    & ( ( ndr1_0
        & ~ c0_1(a24)
        & ~ c2_1(a24)
        & ~ c1_1(a24) )
      | ~ hskp15 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c0_1(X46)
                | c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c3_1(X47)
                | c2_1(X47) ) )
          | hskp12 )
        & ( ~ hskp1
          | ( ~ c2_1(a2)
            & ~ c3_1(a2)
            & ndr1_0
            & ~ c0_1(a2) ) )
        & ( ~ hskp20
          | ( ~ c0_1(a37)
            & ndr1_0
            & c1_1(a37)
            & c3_1(a37) ) )
        & ( hskp24
          | hskp21
          | hskp13 )
        & ( ~ hskp13
          | ( ~ c3_1(a21)
            & c0_1(a21)
            & ndr1_0
            & c2_1(a21) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c2_1(X34)
                | ~ c3_1(X34)
                | ~ c0_1(X34) ) )
          | hskp11
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( ( ~ c2_1(a11)
            & c0_1(a11)
            & ~ c1_1(a11)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ndr1_0
            & ~ c1_1(a36)
            & c3_1(a36)
            & c2_1(a36) )
          | ~ hskp19 )
        & ( hskp5
          | hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | c2_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp28
          | hskp7
          | ! [X118] :
              ( ndr1_0
             => ( c0_1(X118)
                | ~ c3_1(X118)
                | c2_1(X118) ) ) )
        & ( ( c2_1(a54)
            & c3_1(a54)
            & ndr1_0
            & c0_1(a54) )
          | ~ hskp30 )
        & ( hskp5
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | ~ c3_1(X111) ) )
          | hskp25 )
        & ( ! [X23] :
              ( ndr1_0
             => ( c1_1(X23)
                | c2_1(X23)
                | ~ c3_1(X23) ) )
          | hskp23
          | hskp22 )
        & ( ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | ~ c1_1(X97)
                | ~ c0_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c0_1(X98)
                | ~ c3_1(X98)
                | c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c2_1(X99) ) ) )
        & ( ~ hskp21
          | ( ~ c2_1(a38)
            & ndr1_0
            & c1_1(a38)
            & c0_1(a38) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c1_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | hskp9 )
        & ( hskp3
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) )
          | hskp0 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c3_1(X15)
                | c2_1(X15)
                | c1_1(X15) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c2_1(X13)
                | c3_1(X13)
                | c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c0_1(X44)
                | c2_1(X44) ) )
          | hskp9
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c0_1(X45)
                | ~ c2_1(X45) ) ) )
        & ( hskp6
          | ! [X2] :
              ( ndr1_0
             => ( ~ c0_1(X2)
                | ~ c1_1(X2)
                | ~ c2_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c1_1(X1)
                | c0_1(X1)
                | c2_1(X1) ) ) )
        & ( ( c1_1(a3)
            & c3_1(a3)
            & ~ c2_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( hskp10
          | hskp21
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( c0_1(X93)
                | c2_1(X93)
                | c3_1(X93) ) )
          | hskp8
          | hskp7 )
        & ( hskp1
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c1_1(X7)
                | c3_1(X7) ) )
          | hskp10 )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c0_1(X94)
                | ~ c1_1(X94) ) )
          | hskp30
          | hskp3 )
        & ( ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | hskp15
          | hskp4 )
        & ( ~ hskp16
          | ( c0_1(a27)
            & ~ c1_1(a27)
            & c3_1(a27)
            & ndr1_0 ) )
        & ( ( ndr1_0
            & c2_1(a20)
            & ~ c3_1(a20)
            & ~ c1_1(a20) )
          | ~ hskp12 )
        & ( ! [X26] :
              ( ndr1_0
             => ( c2_1(X26)
                | c1_1(X26)
                | c3_1(X26) ) )
          | hskp21
          | hskp20 )
        & ( ( ndr1_0
            & c0_1(a9)
            & ~ c3_1(a9)
            & ~ c2_1(a9) )
          | ~ hskp4 )
        & ( ! [X92] :
              ( ndr1_0
             => ( c3_1(X92)
                | c0_1(X92)
                | c2_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | ~ c2_1(X91)
                | c3_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c1_1(X90)
                | ~ c0_1(X90) ) ) )
        & ( hskp20
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | c1_1(X55)
                | ~ c0_1(X55) ) ) )
        & ( hskp6
          | hskp24
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c2_1(X73)
                | ~ c0_1(X73) ) ) )
        & ( ( ~ c2_1(a7)
            & ndr1_0
            & c3_1(a7)
            & c0_1(a7) )
          | ~ hskp3 )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | ~ c0_1(X63)
                | c2_1(X63) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c1_1(X64)
                | c0_1(X64)
                | c3_1(X64) ) ) )
        & ( hskp9
          | hskp15
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c1_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ~ hskp27
          | ( c0_1(a12)
            & c3_1(a12)
            & ndr1_0
            & c1_1(a12) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c3_1(X88)
                | c0_1(X88) ) )
          | hskp6
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | ~ c2_1(X89)
                | ~ c1_1(X89) ) ) )
        & ( ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c1_1(X16)
                | ~ c2_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c2_1(X17)
                | ~ c3_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( c0_1(X18)
                | ~ c3_1(X18)
                | ~ c2_1(X18) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c0_1(X71)
                | c1_1(X71)
                | ~ c2_1(X71) ) )
          | hskp2 )
        & ( ( ~ c0_1(a28)
            & ~ c2_1(a28)
            & c3_1(a28)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ! [X110] :
              ( ndr1_0
             => ( c0_1(X110)
                | c2_1(X110)
                | ~ c3_1(X110) ) )
          | hskp14
          | hskp13 )
        & ( ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c2_1(X36)
                | c3_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c3_1(X35)
                | ~ c1_1(X35) ) ) )
        & ( hskp25
          | hskp5
          | ! [X77] :
              ( ndr1_0
             => ( c2_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) ) )
        & ( ! [X87] :
              ( ndr1_0
             => ( c0_1(X87)
                | ~ c2_1(X87)
                | ~ c3_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c3_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) )
          | hskp0 )
        & ( hskp20
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | ~ c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c0_1(X85)
                | ~ c3_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( hskp29
          | hskp9
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | ~ c0_1(X0)
                | ~ c3_1(X0) ) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c1_1(a18)
            & c3_1(a18)
            & ~ c0_1(a18) ) )
        & ( hskp18
          | hskp13
          | ! [X20] :
              ( ndr1_0
             => ( c1_1(X20)
                | c2_1(X20)
                | ~ c3_1(X20) ) ) )
        & ( ~ hskp23
          | ( ~ c1_1(a45)
            & ~ c2_1(a45)
            & ndr1_0
            & c3_1(a45) ) )
        & ( hskp3
          | hskp18
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c0_1(X19)
                | c3_1(X19) ) ) )
        & ( ( c2_1(a1)
            & ndr1_0
            & ~ c3_1(a1)
            & c1_1(a1) )
          | ~ hskp0 )
        & ( hskp27
          | hskp8
          | hskp13 )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c0_1(X25)
                | ~ c1_1(X25)
                | c2_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c0_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) )
          | hskp27 )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c1_1(X21)
                | ~ c2_1(X21) ) )
          | hskp12
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | ~ c1_1(X22) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( c0_1(X11)
                | ~ c3_1(X11)
                | ~ c1_1(X11) ) )
          | hskp29
          | hskp19 )
        & ( ! [X83] :
              ( ndr1_0
             => ( c0_1(X83)
                | ~ c3_1(X83)
                | c1_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c2_1(X82)
                | c1_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c0_1(X81)
                | c2_1(X81) ) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a35)
            & c0_1(a35)
            & c2_1(a35) ) )
        & ( hskp2
          | hskp1
          | ! [X102] :
              ( ndr1_0
             => ( c3_1(X102)
                | c0_1(X102)
                | c1_1(X102) ) ) )
        & ( ~ hskp11
          | ( ~ c3_1(a19)
            & c2_1(a19)
            & ~ c0_1(a19)
            & ndr1_0 ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c0_1(X12)
                | c3_1(X12)
                | ~ c1_1(X12) ) )
          | hskp17
          | hskp16 )
        & ( ( ndr1_0
            & c0_1(a16)
            & c1_1(a16)
            & ~ c3_1(a16) )
          | ~ hskp9 )
        & ( ~ hskp18
          | ( c1_1(a31)
            & ndr1_0
            & ~ c0_1(a31)
            & ~ c3_1(a31) ) )
        & ( hskp11
          | hskp19
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | ~ c0_1(X30)
                | ~ c1_1(X30) ) ) )
        & ( hskp17
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | c2_1(X8)
                | ~ c1_1(X8) ) )
          | hskp14 )
        & ( hskp25
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c3_1(X109)
                | ~ c1_1(X109) ) ) )
        & ( ( ~ c1_1(a15)
            & ~ c3_1(a15)
            & ~ c2_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( hskp0
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) )
          | hskp22 )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | ~ c1_1(X62) ) )
          | hskp27
          | hskp16 )
        & ( ! [X67] :
              ( ndr1_0
             => ( c1_1(X67)
                | ~ c2_1(X67)
                | ~ c0_1(X67) ) )
          | hskp18
          | ! [X66] :
              ( ndr1_0
             => ( c1_1(X66)
                | c3_1(X66)
                | ~ c0_1(X66) ) ) )
        & ( hskp23
          | ! [X43] :
              ( ndr1_0
             => ( ~ c0_1(X43)
                | ~ c3_1(X43)
                | c1_1(X43) ) )
          | hskp18 )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c3_1(X39) ) )
          | hskp8
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c0_1(X40)
                | ~ c1_1(X40) ) ) )
        & ( hskp0
          | hskp28
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | c2_1(X72) ) ) )
        & ( hskp19
          | hskp4
          | hskp28 )
        & ( hskp4
          | hskp21
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | ~ c1_1(X29)
                | c2_1(X29) ) )
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | ~ c1_1(X27)
                | ~ c2_1(X27) ) ) )
        & ( hskp22
          | hskp20
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | c2_1(X100)
                | c1_1(X100) ) ) )
        & ( hskp9
          | hskp2
          | hskp17 )
        & ( ( ndr1_0
            & c3_1(a25)
            & c1_1(a25)
            & c2_1(a25) )
          | ~ hskp28 )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c1_1(a58)
            & ~ c0_1(a58)
            & c2_1(a58) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | ~ c3_1(X106)
                | c2_1(X106) ) )
          | hskp6
          | ! [X107] :
              ( ndr1_0
             => ( c0_1(X107)
                | c2_1(X107)
                | c3_1(X107) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c3_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c1_1(X48)
                | c2_1(X48)
                | ~ c3_1(X48) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c2_1(X50)
                | ~ c0_1(X50)
                | ~ c3_1(X50) ) ) )
        & ( ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | c2_1(X3)
                | c3_1(X3) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | ~ c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp5
          | hskp28
          | hskp25 )
        & ( hskp15
          | ! [X114] :
              ( ndr1_0
             => ( c3_1(X114)
                | ~ c2_1(X114)
                | c0_1(X114) ) )
          | hskp11 )
        & ( ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | ~ c3_1(X104)
                | c0_1(X104) ) )
          | hskp10
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | c1_1(X103)
                | ~ c2_1(X103) ) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a42)
            & c2_1(a42)
            & ~ c1_1(a42) ) )
        & ( ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c1_1(X117)
                | c2_1(X117) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | ~ c3_1(X116)
                | c1_1(X116) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c0_1(X115)
                | ~ c1_1(X115)
                | ~ c3_1(X115) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | ~ c1_1(X58) ) )
          | hskp6 )
        & ( hskp2
          | hskp16
          | hskp4 )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c3_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c0_1(X75)
                | c1_1(X75) ) )
          | hskp1 )
        & ( ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | ~ c2_1(X113)
                | c1_1(X113) ) )
          | hskp5
          | ! [X112] :
              ( ndr1_0
             => ( c2_1(X112)
                | c0_1(X112)
                | c3_1(X112) ) ) )
        & ( ! [X76] :
              ( ndr1_0
             => ( c1_1(X76)
                | c0_1(X76)
                | c3_1(X76) ) )
          | hskp1
          | hskp0 )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c3_1(X69)
                | c2_1(X69) ) )
          | hskp9
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c3_1(X68) ) ) )
        & ( hskp30
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c1_1(X41)
                | ~ c2_1(X41) ) )
          | hskp12 )
        & ( hskp3
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | ~ c1_1(X31)
                | ~ c3_1(X31) ) )
          | hskp24 )
        & ( ( ~ c3_1(a70)
            & c0_1(a70)
            & ~ c1_1(a70)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a99)
            & ~ c0_1(a99)
            & c2_1(a99) ) )
        & ( hskp17
          | hskp21
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c0_1(X51)
                | ~ c3_1(X51) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | ~ c2_1(X9) ) )
          | hskp7
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | ~ c1_1(X10) ) ) )
        & ( hskp14
          | hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) ) )
        & ( hskp24
          | hskp13
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | ~ c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp26
          | hskp14
          | hskp29 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | c0_1(X78)
                | c2_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c1_1(X79)
                | ~ c2_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) ) )
        & ( hskp22
          | hskp12
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | c2_1(X101)
                | ~ c0_1(X101) ) ) )
        & ( ~ hskp6
          | ( ~ c1_1(a13)
            & ~ c3_1(a13)
            & ndr1_0
            & ~ c0_1(a13) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c1_1(X53)
                | c0_1(X53) ) )
          | hskp4
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | ~ c3_1(X54)
                | ~ c1_1(X54) ) ) )
        & ( ( c3_1(a22)
            & ~ c0_1(a22)
            & c2_1(a22)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ~ hskp7
          | ( ~ c0_1(a14)
            & ndr1_0
            & ~ c2_1(a14)
            & c1_1(a14) ) )
        & ( hskp28
          | hskp1
          | hskp20 )
        & ( ( ndr1_0
            & ~ c0_1(a24)
            & ~ c2_1(a24)
            & ~ c1_1(a24) )
          | ~ hskp15 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp9
          | hskp29
          | ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c0_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp6
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | ~ c2_1(X39)
                | ~ c1_1(X39) ) ) )
        & ( ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c2_1(X54)
                | c1_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c0_1(X55)
                | c1_1(X55)
                | c3_1(X55) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp10
          | ! [X106] :
              ( ndr1_0
             => ( ~ c1_1(X106)
                | c3_1(X106)
                | ~ c0_1(X106) ) )
          | hskp21 )
        & ( hskp10
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c1_1(X81)
                | ~ c2_1(X81) ) )
          | hskp1 )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | hskp17
          | hskp14 )
        & ( ( ndr1_0
            & c2_1(a20)
            & ~ c3_1(a20)
            & ~ c1_1(a20) )
          | ~ hskp12 )
        & ( ( c2_1(a54)
            & c3_1(a54)
            & ndr1_0
            & c0_1(a54) )
          | ~ hskp30 )
        & ( ( c3_1(a22)
            & ~ c0_1(a22)
            & c2_1(a22)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) )
          | hskp7
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c0_1(X110)
                | ~ c3_1(X110) ) ) )
        & ( hskp24
          | hskp21
          | hskp13 )
        & ( hskp19
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( c0_1(X62)
                | ~ c1_1(X62)
                | ~ c3_1(X62) ) ) )
        & ( ~ hskp6
          | ( ~ c1_1(a13)
            & ~ c3_1(a13)
            & ndr1_0
            & ~ c0_1(a13) ) )
        & ( hskp16
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c0_1(X52)
                | c3_1(X52) ) )
          | hskp17 )
        & ( ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | c1_1(X21)
                | c3_1(X21) ) ) )
        & ( ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c3_1(X67)
                | ~ c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | ~ c3_1(X66)
                | ~ c2_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( c0_1(X65)
                | ~ c2_1(X65)
                | ~ c3_1(X65) ) ) )
        & ( hskp18
          | hskp3
          | ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | c3_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( ! [X78] :
              ( ndr1_0
             => ( c2_1(X78)
                | ~ c3_1(X78)
                | c1_1(X78) ) )
          | hskp13
          | hskp18 )
        & ( ! [X82] :
              ( ndr1_0
             => ( c1_1(X82)
                | ~ c2_1(X82)
                | ~ c0_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c0_1(X83)
                | ~ c1_1(X83) ) )
          | hskp12 )
        & ( hskp22
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) )
          | hskp23 )
        & ( ( ndr1_0
            & c3_1(a25)
            & c1_1(a25)
            & c2_1(a25) )
          | ~ hskp28 )
        & ( ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) )
          | hskp27
          | ! [X29] :
              ( ndr1_0
             => ( c2_1(X29)
                | ~ c0_1(X29)
                | ~ c1_1(X29) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c1_1(X69)
                | c3_1(X69) ) )
          | hskp20
          | hskp21 )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c1_1(X44)
                | c3_1(X44) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c0_1(X42)
                | ~ c3_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | ~ c1_1(X43) ) ) )
        & ( ( ~ c1_1(a15)
            & ~ c3_1(a15)
            & ~ c2_1(a15)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ndr1_0
            & ~ c0_1(a24)
            & ~ c2_1(a24)
            & ~ c1_1(a24) )
          | ~ hskp15 )
        & ( hskp19
          | hskp11
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( ! [X118] :
              ( ndr1_0
             => ( ~ c1_1(X118)
                | ~ c3_1(X118)
                | ~ c2_1(X118) ) )
          | hskp24
          | hskp3 )
        & ( hskp24
          | hskp13
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c1_1(X88)
                | ~ c3_1(X88) ) ) )
        & ( ( ~ c2_1(a11)
            & c0_1(a11)
            & ~ c1_1(a11)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ! [X45] :
              ( ndr1_0
             => ( c0_1(X45)
                | ~ c3_1(X45)
                | c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c2_1(X46)
                | ~ c3_1(X46)
                | ~ c0_1(X46) ) )
          | hskp11 )
        & ( ( c2_1(a1)
            & ndr1_0
            & ~ c3_1(a1)
            & c1_1(a1) )
          | ~ hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c3_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | ~ c2_1(X1)
                | c1_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( hskp15
          | hskp9
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( ~ hskp24
          | ( ndr1_0
            & ~ c1_1(a58)
            & ~ c0_1(a58)
            & c2_1(a58) ) )
        & ( ( ndr1_0
            & ~ c1_1(a36)
            & c3_1(a36)
            & c2_1(a36) )
          | ~ hskp19 )
        & ( ~ hskp23
          | ( ~ c1_1(a45)
            & ~ c2_1(a45)
            & ndr1_0
            & c3_1(a45) ) )
        & ( ~ hskp10
          | ( ndr1_0
            & ~ c1_1(a18)
            & c3_1(a18)
            & ~ c0_1(a18) ) )
        & ( ! [X104] :
              ( ndr1_0
             => ( ~ c0_1(X104)
                | ~ c1_1(X104)
                | c3_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | ~ c3_1(X105) ) )
          | hskp8 )
        & ( hskp12
          | hskp30
          | ! [X85] :
              ( ndr1_0
             => ( c1_1(X85)
                | ~ c0_1(X85)
                | ~ c2_1(X85) ) ) )
        & ( hskp2
          | hskp16
          | hskp4 )
        & ( ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) )
          | hskp21
          | hskp4 )
        & ( hskp18
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c1_1(X90)
                | ~ c3_1(X90) ) )
          | hskp23 )
        & ( hskp9
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c0_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | ~ c1_1(X37)
                | ~ c2_1(X37) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | ~ c1_1(X48)
                | ~ c0_1(X48) ) )
          | hskp12
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | ~ c3_1(X47)
                | c2_1(X47) ) ) )
        & ( ! [X70] :
              ( ndr1_0
             => ( c2_1(X70)
                | ~ c3_1(X70)
                | c1_1(X70) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c3_1(X72)
                | ~ c2_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c3_1(X71)
                | ~ c0_1(X71) ) ) )
        & ( ~ hskp26
          | ( ndr1_0
            & c1_1(a99)
            & ~ c0_1(a99)
            & c2_1(a99) ) )
        & ( hskp17
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c2_1(X68)
                | c0_1(X68) ) )
          | hskp21 )
        & ( hskp5
          | hskp28
          | hskp25 )
        & ( hskp14
          | hskp16
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | ~ c0_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( ~ hskp16
          | ( c0_1(a27)
            & ~ c1_1(a27)
            & c3_1(a27)
            & ndr1_0 ) )
        & ( hskp4
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c0_1(X16)
                | c1_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c0_1(X17)
                | ~ c1_1(X17) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c1_1(X86)
                | ~ c0_1(X86) ) )
          | hskp20
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c3_1(X87) ) ) )
        & ( ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c0_1(X107)
                | c3_1(X107) ) )
          | hskp6
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c3_1(X108)
                | ~ c2_1(X108) ) ) )
        & ( hskp15
          | hskp5
          | ! [X50] :
              ( ndr1_0
             => ( c0_1(X50)
                | ~ c3_1(X50)
                | c2_1(X50) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( c2_1(X61)
                | c1_1(X61)
                | c3_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c0_1(X60)
                | ~ c1_1(X60)
                | ~ c2_1(X60) ) )
          | hskp9 )
        & ( hskp27
          | hskp16
          | ! [X114] :
              ( ndr1_0
             => ( ~ c1_1(X114)
                | ~ c0_1(X114)
                | ~ c3_1(X114) ) ) )
        & ( hskp28
          | hskp1
          | hskp20 )
        & ( ~ hskp13
          | ( ~ c3_1(a21)
            & c0_1(a21)
            & ndr1_0
            & c2_1(a21) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c3_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | c2_1(X5)
                | ~ c1_1(X5) ) ) )
        & ( hskp18
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c1_1(X79)
                | c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c1_1(X80)
                | ~ c0_1(X80) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c1_1(X102)
                | c3_1(X102) ) )
          | hskp9
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c2_1(X101)
                | ~ c1_1(X101) ) ) )
        & ( ~ hskp21
          | ( ~ c2_1(a38)
            & ndr1_0
            & c1_1(a38)
            & c0_1(a38) ) )
        & ( ( ndr1_0
            & c0_1(a9)
            & ~ c3_1(a9)
            & ~ c2_1(a9) )
          | ~ hskp4 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | ~ c3_1(X9)
                | c2_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c1_1(X8)
                | ~ c2_1(X8)
                | c0_1(X8) ) )
          | hskp2 )
        & ( ! [X103] :
              ( ndr1_0
             => ( c2_1(X103)
                | ~ c1_1(X103)
                | ~ c3_1(X103) ) )
          | hskp0
          | hskp28 )
        & ( hskp24
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | c2_1(X99)
                | ~ c0_1(X99) ) )
          | hskp6 )
        & ( hskp1
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | c2_1(X11)
                | ~ c3_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c0_1(X10)
                | c1_1(X10)
                | ~ c2_1(X10) ) ) )
        & ( hskp1
          | ! [X6] :
              ( ndr1_0
             => ( c0_1(X6)
                | c3_1(X6)
                | c1_1(X6) ) )
          | hskp0 )
        & ( ~ hskp11
          | ( ~ c3_1(a19)
            & c2_1(a19)
            & ~ c0_1(a19)
            & ndr1_0 ) )
        & ( hskp9
          | hskp2
          | hskp17 )
        & ( hskp25
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c2_1(X97)
                | ~ c1_1(X97) ) )
          | hskp5 )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | c1_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c2_1(X35)
                | c3_1(X35)
                | ~ c0_1(X35) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c2_1(X14)
                | ~ c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c0_1(X13)
                | c1_1(X13) ) ) )
        & ( ( ndr1_0
            & c0_1(a16)
            & c1_1(a16)
            & ~ c3_1(a16) )
          | ~ hskp9 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | ~ c1_1(X64)
                | ~ c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c0_1(X63)
                | ~ c3_1(X63) ) )
          | hskp20 )
        & ( ! [X18] :
              ( ndr1_0
             => ( c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | c0_1(X19)
                | ~ c2_1(X19) ) )
          | hskp0 )
        & ( hskp6
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | c0_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c2_1(X57)
                | c3_1(X57) ) ) )
        & ( ~ hskp18
          | ( c1_1(a31)
            & ndr1_0
            & ~ c0_1(a31)
            & ~ c3_1(a31) ) )
        & ( ~ hskp1
          | ( ~ c2_1(a2)
            & ~ c3_1(a2)
            & ndr1_0
            & ~ c0_1(a2) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( c1_1(X26)
                | ~ c0_1(X26)
                | ~ c2_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c1_1(X27)
                | c3_1(X27) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp7
          | hskp8
          | ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | c0_1(X32)
                | c3_1(X32) ) ) )
        & ( ( ~ c2_1(a7)
            & ndr1_0
            & c3_1(a7)
            & c0_1(a7) )
          | ~ hskp3 )
        & ( hskp3
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c1_1(X115)
                | ~ c0_1(X115) ) )
          | hskp30 )
        & ( ~ hskp27
          | ( c0_1(a12)
            & c3_1(a12)
            & ndr1_0
            & c1_1(a12) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c0_1(X12)
                | c1_1(X12) ) )
          | hskp0
          | hskp3 )
        & ( hskp26
          | hskp14
          | hskp29 )
        & ( ~ hskp20
          | ( ~ c0_1(a37)
            & ndr1_0
            & c1_1(a37)
            & c3_1(a37) ) )
        & ( ~ hskp22
          | ( ndr1_0
            & c0_1(a42)
            & c2_1(a42)
            & ~ c1_1(a42) ) )
        & ( ( ~ c0_1(a28)
            & ~ c2_1(a28)
            & c3_1(a28)
            & ndr1_0 )
          | ~ hskp17 )
        & ( hskp15
          | hskp4
          | ! [X89] :
              ( ndr1_0
             => ( c1_1(X89)
                | ~ c3_1(X89)
                | ~ c0_1(X89) ) ) )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c0_1(X95)
                | c3_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | ~ c1_1(X93)
                | ~ c0_1(X93) ) ) )
        & ( ( c1_1(a3)
            & c3_1(a3)
            & ~ c2_1(a3)
            & ndr1_0 )
          | ~ hskp2 )
        & ( hskp20
          | hskp22
          | ! [X76] :
              ( ndr1_0
             => ( c2_1(X76)
                | ~ c3_1(X76)
                | c1_1(X76) ) ) )
        & ( ~ hskp29
          | ( ndr1_0
            & c1_1(a35)
            & c0_1(a35)
            & c2_1(a35) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c3_1(X92)
                | ~ c0_1(X92) ) )
          | hskp12
          | hskp22 )
        & ( ~ hskp7
          | ( ~ c0_1(a14)
            & ndr1_0
            & ~ c2_1(a14)
            & c1_1(a14) ) )
        & ( hskp27
          | hskp8
          | hskp13 )
        & ( ! [X7] :
              ( ndr1_0
             => ( c1_1(X7)
                | c0_1(X7)
                | c3_1(X7) ) )
          | hskp1
          | hskp2 )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c1_1(X41)
                | ~ c2_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c2_1(X40)
                | c0_1(X40)
                | ~ c3_1(X40) ) )
          | hskp10 )
        & ( ! [X116] :
              ( ndr1_0
             => ( ~ c0_1(X116)
                | ~ c3_1(X116)
                | ~ c1_1(X116) ) )
          | hskp0
          | hskp22 )
        & ( ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | ~ c1_1(X31) ) )
          | hskp6
          | ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | c2_1(X30)
                | c3_1(X30) ) ) )
        & ( ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c1_1(X113) ) )
          | hskp25 )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c0_1(X49)
                | c2_1(X49) ) )
          | hskp13
          | hskp14 )
        & ( hskp25
          | hskp5
          | ! [X117] :
              ( ndr1_0
             => ( ~ c0_1(X117)
                | ~ c1_1(X117)
                | ~ c3_1(X117) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( c0_1(X23)
                | c2_1(X23)
                | c3_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( c1_1(X24)
                | ~ c2_1(X24)
                | c3_1(X24) ) )
          | hskp5 )
        & ( ( ~ c3_1(a70)
            & c0_1(a70)
            & ~ c1_1(a70)
            & ndr1_0 )
          | ~ hskp25 )
        & ( hskp19
          | hskp4
          | hskp28 )
        & ( hskp11
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) )
          | hskp15 )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | ~ c3_1(X75)
                | ~ c1_1(X75) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c1_1(X73)
                | ~ c3_1(X73)
                | c2_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c1_1(X74)
                | c2_1(X74) ) ) )
        & ( hskp7
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) )
          | hskp28 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp9
        | hskp29
        | ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c0_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp6
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c1_1(X38)
              | c2_1(X38) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | ~ c2_1(X39)
              | ~ c1_1(X39) ) ) )
      & ( ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | c2_1(X54)
              | c1_1(X54) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c0_1(X55)
              | c1_1(X55)
              | c3_1(X55) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp10
        | ! [X106] :
            ( ndr1_0
           => ( ~ c1_1(X106)
              | c3_1(X106)
              | ~ c0_1(X106) ) )
        | hskp21 )
      & ( hskp10
        | ! [X81] :
            ( ndr1_0
           => ( c3_1(X81)
              | c1_1(X81)
              | ~ c2_1(X81) ) )
        | hskp1 )
      & ( ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | hskp17
        | hskp14 )
      & ( ( ndr1_0
          & c2_1(a20)
          & ~ c3_1(a20)
          & ~ c1_1(a20) )
        | ~ hskp12 )
      & ( ( c2_1(a54)
          & c3_1(a54)
          & ndr1_0
          & c0_1(a54) )
        | ~ hskp30 )
      & ( ( c3_1(a22)
          & ~ c0_1(a22)
          & c2_1(a22)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) )
        | hskp7
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | ~ c0_1(X110)
              | ~ c3_1(X110) ) ) )
      & ( hskp24
        | hskp21
        | hskp13 )
      & ( hskp19
        | hskp29
        | ! [X62] :
            ( ndr1_0
           => ( c0_1(X62)
              | ~ c1_1(X62)
              | ~ c3_1(X62) ) ) )
      & ( ~ hskp6
        | ( ~ c1_1(a13)
          & ~ c3_1(a13)
          & ndr1_0
          & ~ c0_1(a13) ) )
      & ( hskp16
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c0_1(X52)
              | c3_1(X52) ) )
        | hskp17 )
      & ( ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( c2_1(X21)
              | c1_1(X21)
              | c3_1(X21) ) ) )
      & ( ! [X67] :
            ( ndr1_0
           => ( ~ c2_1(X67)
              | ~ c3_1(X67)
              | ~ c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | ~ c3_1(X66)
              | ~ c2_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( c0_1(X65)
              | ~ c2_1(X65)
              | ~ c3_1(X65) ) ) )
      & ( hskp18
        | hskp3
        | ! [X58] :
            ( ndr1_0
           => ( c0_1(X58)
              | c3_1(X58)
              | ~ c2_1(X58) ) ) )
      & ( ! [X78] :
            ( ndr1_0
           => ( c2_1(X78)
              | ~ c3_1(X78)
              | c1_1(X78) ) )
        | hskp13
        | hskp18 )
      & ( ! [X82] :
            ( ndr1_0
           => ( c1_1(X82)
              | ~ c2_1(X82)
              | ~ c0_1(X82) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c0_1(X83)
              | ~ c1_1(X83) ) )
        | hskp12 )
      & ( hskp22
        | ! [X77] :
            ( ndr1_0
           => ( ~ c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) )
        | hskp23 )
      & ( ( ndr1_0
          & c3_1(a25)
          & c1_1(a25)
          & c2_1(a25) )
        | ~ hskp28 )
      & ( ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) )
        | hskp27
        | ! [X29] :
            ( ndr1_0
           => ( c2_1(X29)
              | ~ c0_1(X29)
              | ~ c1_1(X29) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c1_1(X69)
              | c3_1(X69) ) )
        | hskp20
        | hskp21 )
      & ( ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c1_1(X44)
              | c3_1(X44) ) )
        | ! [X42] :
            ( ndr1_0
           => ( c0_1(X42)
              | ~ c3_1(X42)
              | c2_1(X42) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | ~ c1_1(X43) ) ) )
      & ( ( ~ c1_1(a15)
          & ~ c3_1(a15)
          & ~ c2_1(a15)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ndr1_0
          & ~ c0_1(a24)
          & ~ c2_1(a24)
          & ~ c1_1(a24) )
        | ~ hskp15 )
      & ( hskp19
        | hskp11
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c2_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( ! [X118] :
            ( ndr1_0
           => ( ~ c1_1(X118)
              | ~ c3_1(X118)
              | ~ c2_1(X118) ) )
        | hskp24
        | hskp3 )
      & ( hskp24
        | hskp13
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c1_1(X88)
              | ~ c3_1(X88) ) ) )
      & ( ( ~ c2_1(a11)
          & c0_1(a11)
          & ~ c1_1(a11)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ! [X45] :
            ( ndr1_0
           => ( c0_1(X45)
              | ~ c3_1(X45)
              | c2_1(X45) ) )
        | ! [X46] :
            ( ndr1_0
           => ( c2_1(X46)
              | ~ c3_1(X46)
              | ~ c0_1(X46) ) )
        | hskp11 )
      & ( ( c2_1(a1)
          & ndr1_0
          & ~ c3_1(a1)
          & c1_1(a1) )
        | ~ hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c3_1(X2)
              | ~ c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | ~ c2_1(X1)
              | c1_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( hskp15
        | hskp9
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( ~ hskp24
        | ( ndr1_0
          & ~ c1_1(a58)
          & ~ c0_1(a58)
          & c2_1(a58) ) )
      & ( ( ndr1_0
          & ~ c1_1(a36)
          & c3_1(a36)
          & c2_1(a36) )
        | ~ hskp19 )
      & ( ~ hskp23
        | ( ~ c1_1(a45)
          & ~ c2_1(a45)
          & ndr1_0
          & c3_1(a45) ) )
      & ( ~ hskp10
        | ( ndr1_0
          & ~ c1_1(a18)
          & c3_1(a18)
          & ~ c0_1(a18) ) )
      & ( ! [X104] :
            ( ndr1_0
           => ( ~ c0_1(X104)
              | ~ c1_1(X104)
              | c3_1(X104) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | ~ c3_1(X105) ) )
        | hskp8 )
      & ( hskp12
        | hskp30
        | ! [X85] :
            ( ndr1_0
           => ( c1_1(X85)
              | ~ c0_1(X85)
              | ~ c2_1(X85) ) ) )
      & ( hskp2
        | hskp16
        | hskp4 )
      & ( ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) )
        | hskp21
        | hskp4 )
      & ( hskp18
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c1_1(X90)
              | ~ c3_1(X90) ) )
        | hskp23 )
      & ( hskp9
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c0_1(X36)
              | c2_1(X36) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c0_1(X37)
              | ~ c1_1(X37)
              | ~ c2_1(X37) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( c3_1(X48)
              | ~ c1_1(X48)
              | ~ c0_1(X48) ) )
        | hskp12
        | ! [X47] :
            ( ndr1_0
           => ( c0_1(X47)
              | ~ c3_1(X47)
              | c2_1(X47) ) ) )
      & ( ! [X70] :
            ( ndr1_0
           => ( c2_1(X70)
              | ~ c3_1(X70)
              | c1_1(X70) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c1_1(X72)
              | c3_1(X72)
              | ~ c2_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( c2_1(X71)
              | ~ c3_1(X71)
              | ~ c0_1(X71) ) ) )
      & ( ~ hskp26
        | ( ndr1_0
          & c1_1(a99)
          & ~ c0_1(a99)
          & c2_1(a99) ) )
      & ( hskp17
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c2_1(X68)
              | c0_1(X68) ) )
        | hskp21 )
      & ( hskp5
        | hskp28
        | hskp25 )
      & ( hskp14
        | hskp16
        | ! [X96] :
            ( ndr1_0
           => ( c2_1(X96)
              | ~ c0_1(X96)
              | ~ c1_1(X96) ) ) )
      & ( ~ hskp16
        | ( c0_1(a27)
          & ~ c1_1(a27)
          & c3_1(a27)
          & ndr1_0 ) )
      & ( hskp4
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c0_1(X16)
              | c1_1(X16) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c0_1(X17)
              | ~ c1_1(X17) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | c1_1(X86)
              | ~ c0_1(X86) ) )
        | hskp20
        | ! [X87] :
            ( ndr1_0
           => ( ~ c2_1(X87)
              | ~ c0_1(X87)
              | c3_1(X87) ) ) )
      & ( ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c0_1(X107)
              | c3_1(X107) ) )
        | hskp6
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | c3_1(X108)
              | ~ c2_1(X108) ) ) )
      & ( hskp15
        | hskp5
        | ! [X50] :
            ( ndr1_0
           => ( c0_1(X50)
              | ~ c3_1(X50)
              | c2_1(X50) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( c2_1(X61)
              | c1_1(X61)
              | c3_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( c0_1(X60)
              | ~ c1_1(X60)
              | ~ c2_1(X60) ) )
        | hskp9 )
      & ( hskp27
        | hskp16
        | ! [X114] :
            ( ndr1_0
           => ( ~ c1_1(X114)
              | ~ c0_1(X114)
              | ~ c3_1(X114) ) ) )
      & ( hskp28
        | hskp1
        | hskp20 )
      & ( ~ hskp13
        | ( ~ c3_1(a21)
          & c0_1(a21)
          & ndr1_0
          & c2_1(a21) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c1_1(X4)
              | c2_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c3_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | c2_1(X5)
              | ~ c1_1(X5) ) ) )
      & ( hskp18
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c1_1(X79)
              | c3_1(X79) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | c1_1(X80)
              | ~ c0_1(X80) ) ) )
      & ( ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c1_1(X102)
              | c3_1(X102) ) )
        | hskp9
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | c2_1(X101)
              | ~ c1_1(X101) ) ) )
      & ( ~ hskp21
        | ( ~ c2_1(a38)
          & ndr1_0
          & c1_1(a38)
          & c0_1(a38) ) )
      & ( ( ndr1_0
          & c0_1(a9)
          & ~ c3_1(a9)
          & ~ c2_1(a9) )
        | ~ hskp4 )
      & ( ! [X9] :
            ( ndr1_0
           => ( c1_1(X9)
              | ~ c3_1(X9)
              | c2_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c1_1(X8)
              | ~ c2_1(X8)
              | c0_1(X8) ) )
        | hskp2 )
      & ( ! [X103] :
            ( ndr1_0
           => ( c2_1(X103)
              | ~ c1_1(X103)
              | ~ c3_1(X103) ) )
        | hskp0
        | hskp28 )
      & ( hskp24
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | c2_1(X99)
              | ~ c0_1(X99) ) )
        | hskp6 )
      & ( hskp1
        | ! [X11] :
            ( ndr1_0
           => ( ~ c1_1(X11)
              | c2_1(X11)
              | ~ c3_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c0_1(X10)
              | c1_1(X10)
              | ~ c2_1(X10) ) ) )
      & ( hskp1
        | ! [X6] :
            ( ndr1_0
           => ( c0_1(X6)
              | c3_1(X6)
              | c1_1(X6) ) )
        | hskp0 )
      & ( ~ hskp11
        | ( ~ c3_1(a19)
          & c2_1(a19)
          & ~ c0_1(a19)
          & ndr1_0 ) )
      & ( hskp9
        | hskp2
        | hskp17 )
      & ( hskp25
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c2_1(X97)
              | ~ c1_1(X97) ) )
        | hskp5 )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | c1_1(X34)
              | ~ c3_1(X34) ) )
        | ! [X35] :
            ( ndr1_0
           => ( c2_1(X35)
              | c3_1(X35)
              | ~ c0_1(X35) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( c0_1(X14)
              | c2_1(X14)
              | ~ c3_1(X14) ) )
        | ! [X15] :
            ( ndr1_0
           => ( c1_1(X15)
              | ~ c0_1(X15)
              | c2_1(X15) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c0_1(X13)
              | c1_1(X13) ) ) )
      & ( ( ndr1_0
          & c0_1(a16)
          & c1_1(a16)
          & ~ c3_1(a16) )
        | ~ hskp9 )
      & ( ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | ~ c1_1(X64)
              | ~ c2_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | c0_1(X63)
              | ~ c3_1(X63) ) )
        | hskp20 )
      & ( ! [X18] :
            ( ndr1_0
           => ( c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | c0_1(X19)
              | ~ c2_1(X19) ) )
        | hskp0 )
      & ( hskp6
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | c0_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c1_1(X57)
              | ~ c2_1(X57)
              | c3_1(X57) ) ) )
      & ( ~ hskp18
        | ( c1_1(a31)
          & ndr1_0
          & ~ c0_1(a31)
          & ~ c3_1(a31) ) )
      & ( ~ hskp1
        | ( ~ c2_1(a2)
          & ~ c3_1(a2)
          & ndr1_0
          & ~ c0_1(a2) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( c1_1(X26)
              | ~ c0_1(X26)
              | ~ c2_1(X26) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | ~ c1_1(X27)
              | c3_1(X27) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp7
        | hskp8
        | ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | c0_1(X32)
              | c3_1(X32) ) ) )
      & ( ( ~ c2_1(a7)
          & ndr1_0
          & c3_1(a7)
          & c0_1(a7) )
        | ~ hskp3 )
      & ( hskp3
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c1_1(X115)
              | ~ c0_1(X115) ) )
        | hskp30 )
      & ( ~ hskp27
        | ( c0_1(a12)
          & c3_1(a12)
          & ndr1_0
          & c1_1(a12) ) )
      & ( ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c0_1(X12)
              | c1_1(X12) ) )
        | hskp0
        | hskp3 )
      & ( hskp26
        | hskp14
        | hskp29 )
      & ( ~ hskp20
        | ( ~ c0_1(a37)
          & ndr1_0
          & c1_1(a37)
          & c3_1(a37) ) )
      & ( ~ hskp22
        | ( ndr1_0
          & c0_1(a42)
          & c2_1(a42)
          & ~ c1_1(a42) ) )
      & ( ( ~ c0_1(a28)
          & ~ c2_1(a28)
          & c3_1(a28)
          & ndr1_0 )
        | ~ hskp17 )
      & ( hskp15
        | hskp4
        | ! [X89] :
            ( ndr1_0
           => ( c1_1(X89)
              | ~ c3_1(X89)
              | ~ c0_1(X89) ) ) )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c0_1(X95)
              | c3_1(X95)
              | ~ c1_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( c2_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | ~ c1_1(X93)
              | ~ c0_1(X93) ) ) )
      & ( ( c1_1(a3)
          & c3_1(a3)
          & ~ c2_1(a3)
          & ndr1_0 )
        | ~ hskp2 )
      & ( hskp20
        | hskp22
        | ! [X76] :
            ( ndr1_0
           => ( c2_1(X76)
              | ~ c3_1(X76)
              | c1_1(X76) ) ) )
      & ( ~ hskp29
        | ( ndr1_0
          & c1_1(a35)
          & c0_1(a35)
          & c2_1(a35) ) )
      & ( ! [X92] :
            ( ndr1_0
           => ( c2_1(X92)
              | c3_1(X92)
              | ~ c0_1(X92) ) )
        | hskp12
        | hskp22 )
      & ( ~ hskp7
        | ( ~ c0_1(a14)
          & ndr1_0
          & ~ c2_1(a14)
          & c1_1(a14) ) )
      & ( hskp27
        | hskp8
        | hskp13 )
      & ( ! [X7] :
            ( ndr1_0
           => ( c1_1(X7)
              | c0_1(X7)
              | c3_1(X7) ) )
        | hskp1
        | hskp2 )
      & ( ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c1_1(X41)
              | ~ c2_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( c2_1(X40)
              | c0_1(X40)
              | ~ c3_1(X40) ) )
        | hskp10 )
      & ( ! [X116] :
            ( ndr1_0
           => ( ~ c0_1(X116)
              | ~ c3_1(X116)
              | ~ c1_1(X116) ) )
        | hskp0
        | hskp22 )
      & ( ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | ~ c1_1(X31) ) )
        | hskp6
        | ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | c2_1(X30)
              | c3_1(X30) ) ) )
      & ( ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c1_1(X113) ) )
        | hskp25 )
      & ( ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c0_1(X49)
              | c2_1(X49) ) )
        | hskp13
        | hskp14 )
      & ( hskp25
        | hskp5
        | ! [X117] :
            ( ndr1_0
           => ( ~ c0_1(X117)
              | ~ c1_1(X117)
              | ~ c3_1(X117) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( c0_1(X23)
              | c2_1(X23)
              | c3_1(X23) ) )
        | ! [X24] :
            ( ndr1_0
           => ( c1_1(X24)
              | ~ c2_1(X24)
              | c3_1(X24) ) )
        | hskp5 )
      & ( ( ~ c3_1(a70)
          & c0_1(a70)
          & ~ c1_1(a70)
          & ndr1_0 )
        | ~ hskp25 )
      & ( hskp19
        | hskp4
        | hskp28 )
      & ( hskp11
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) )
        | hskp15 )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | ~ c3_1(X75)
              | ~ c1_1(X75) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c1_1(X73)
              | ~ c3_1(X73)
              | c2_1(X73) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c1_1(X74)
              | c2_1(X74) ) ) )
      & ( hskp7
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) )
        | hskp28 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1044,plain,
    ( ~ spl0_52
    | spl0_157 ),
    inference(avatar_split_clause,[],[f81,f1041,f471]) ).

fof(f471,plain,
    ( spl0_52
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f81,plain,
    ( c2_1(a22)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1039,plain,
    ( ~ spl0_1
    | spl0_55
    | spl0_63
    | spl0_66 ),
    inference(avatar_split_clause,[],[f212,f531,f519,f484,f248]) ).

fof(f248,plain,
    ( spl0_1
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f212,plain,
    ! [X46,X47,X45] :
      ( ~ c1_1(X47)
      | c0_1(X45)
      | c2_1(X46)
      | c3_1(X45)
      | ~ c3_1(X47)
      | ~ c0_1(X46)
      | c1_1(X45)
      | c2_1(X47)
      | ~ c1_1(X46)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X46,X47,X45] :
      ( ~ ndr1_0
      | ~ c1_1(X46)
      | ~ c1_1(X47)
      | ~ ndr1_0
      | c1_1(X45)
      | ~ ndr1_0
      | ~ c0_1(X46)
      | c2_1(X47)
      | c0_1(X45)
      | ~ c3_1(X47)
      | c3_1(X45)
      | c2_1(X46) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1038,plain,
    ( ~ spl0_1
    | spl0_46
    | spl0_71
    | spl0_31 ),
    inference(avatar_split_clause,[],[f166,f376,f557,f447,f248]) ).

fof(f447,plain,
    ( spl0_46
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f376,plain,
    ( spl0_31
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f166,plain,
    ! [X32] :
      ( hskp24
      | ~ c2_1(X32)
      | hskp3
      | ~ ndr1_0
      | ~ c1_1(X32)
      | ~ c3_1(X32) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1035,plain,
    ( ~ spl0_62
    | spl0_1 ),
    inference(avatar_split_clause,[],[f116,f248,f515]) ).

fof(f515,plain,
    ( spl0_62
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f116,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1034,plain,
    ( ~ spl0_10
    | spl0_156 ),
    inference(avatar_split_clause,[],[f151,f1031,f289]) ).

fof(f289,plain,
    ( spl0_10
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f151,plain,
    ( c3_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1029,plain,
    ( ~ spl0_58
    | spl0_155 ),
    inference(avatar_split_clause,[],[f49,f1026,f499]) ).

fof(f499,plain,
    ( spl0_58
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f49,plain,
    ( c1_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1022,plain,
    ( spl0_6
    | ~ spl0_1
    | spl0_23
    | spl0_88 ),
    inference(avatar_split_clause,[],[f213,f649,f343,f248,f271]) ).

fof(f271,plain,
    ( spl0_6
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f213,plain,
    ! [X116,X115] :
      ( c1_1(X116)
      | c0_1(X115)
      | ~ c2_1(X116)
      | c3_1(X116)
      | c2_1(X115)
      | ~ ndr1_0
      | c3_1(X115)
      | hskp5 ),
    inference(duplicate_literal_removal,[],[f14]) ).

fof(f14,plain,
    ! [X116,X115] :
      ( c2_1(X115)
      | hskp5
      | c1_1(X116)
      | ~ ndr1_0
      | c0_1(X115)
      | ~ ndr1_0
      | ~ c2_1(X116)
      | c3_1(X116)
      | c3_1(X115) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1021,plain,
    ( spl0_154
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f119,f515,f1018]) ).

fof(f119,plain,
    ( ~ hskp2
    | c1_1(a3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1016,plain,
    ( ~ spl0_153
    | ~ spl0_50 ),
    inference(avatar_split_clause,[],[f11,f463,f1013]) ).

fof(f463,plain,
    ( spl0_50
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f11,plain,
    ( ~ hskp0
    | ~ c3_1(a1) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1011,plain,
    ( spl0_59
    | spl0_16
    | spl0_34
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f186,f248,f390,f315,f503]) ).

fof(f315,plain,
    ( spl0_16
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f390,plain,
    ( spl0_34
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f186,plain,
    ! [X28] :
      ( ~ ndr1_0
      | hskp9
      | hskp15
      | c1_1(X28)
      | ~ c0_1(X28)
      | ~ c2_1(X28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1009,plain,
    ( ~ spl0_1
    | spl0_68
    | spl0_35
    | spl0_14 ),
    inference(avatar_split_clause,[],[f84,f307,f395,f541,f248]) ).

fof(f541,plain,
    ( spl0_68
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f395,plain,
    ( spl0_35
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f84,plain,
    ! [X75] :
      ( c3_1(X75)
      | c2_1(X75)
      | hskp12
      | ~ c0_1(X75)
      | hskp22
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1008,plain,
    ( spl0_23
    | spl0_43
    | spl0_55
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f214,f248,f484,f432,f343]) ).

fof(f432,plain,
    ( spl0_43
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f214,plain,
    ! [X44,X43] :
      ( ~ ndr1_0
      | c2_1(X43)
      | hskp27
      | ~ c1_1(X43)
      | c2_1(X44)
      | c0_1(X44)
      | ~ c0_1(X43)
      | c3_1(X44) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X44,X43] :
      ( hskp27
      | ~ c0_1(X43)
      | ~ c1_1(X43)
      | c0_1(X44)
      | c2_1(X43)
      | c3_1(X44)
      | ~ ndr1_0
      | c2_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1007,plain,
    ( ~ spl0_152
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f55,f303,f1004]) ).

fof(f55,plain,
    ( ~ hskp4
    | ~ c3_1(a9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f1002,plain,
    ( spl0_1
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f99,f690,f248]) ).

fof(f690,plain,
    ( spl0_95
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f99,plain,
    ( ~ hskp17
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f997,plain,
    ( ~ spl0_150
    | ~ spl0_44 ),
    inference(avatar_split_clause,[],[f115,f436,f994]) ).

fof(f436,plain,
    ( spl0_44
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f115,plain,
    ( ~ hskp8
    | ~ c1_1(a15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f992,plain,
    ( spl0_17
    | spl0_53
    | spl0_6 ),
    inference(avatar_split_clause,[],[f63,f271,f476,f320]) ).

fof(f476,plain,
    ( spl0_53
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f63,plain,
    ( hskp5
    | hskp25
    | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f991,plain,
    ( spl0_20
    | spl0_78
    | ~ spl0_1
    | spl0_4 ),
    inference(avatar_split_clause,[],[f193,f262,f248,f593,f332]) ).

fof(f262,plain,
    ( spl0_4
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f193,plain,
    ! [X17] :
      ( hskp11
      | ~ ndr1_0
      | ~ c0_1(X17)
      | ~ c2_1(X17)
      | hskp19
      | ~ c1_1(X17) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f985,plain,
    ( spl0_148
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f157,f271,f982]) ).

fof(f157,plain,
    ( ~ hskp5
    | c0_1(a11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f980,plain,
    ( spl0_10
    | spl0_85
    | spl0_8
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f43,f248,f280,f635,f289]) ).

fof(f280,plain,
    ( spl0_8
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f43,plain,
    ! [X88] :
      ( ~ ndr1_0
      | hskp21
      | c3_1(X88)
      | ~ c1_1(X88)
      | ~ c0_1(X88)
      | hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f979,plain,
    ( ~ spl0_18
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f110,f976,f324]) ).

fof(f324,plain,
    ( spl0_18
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f110,plain,
    ( ~ c0_1(a14)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f974,plain,
    ( ~ spl0_146
    | ~ spl0_32 ),
    inference(avatar_split_clause,[],[f66,f381,f971]) ).

fof(f381,plain,
    ( spl0_32
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f66,plain,
    ( ~ hskp16
    | ~ c1_1(a27) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f969,plain,
    ( ~ spl0_95
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f101,f966,f690]) ).

fof(f101,plain,
    ( ~ c2_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f964,plain,
    ( ~ spl0_35
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f162,f961,f395]) ).

fof(f162,plain,
    ( ~ c3_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f959,plain,
    ( spl0_65
    | spl0_123
    | ~ spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f216,f328,f248,f847,f528]) ).

fof(f216,plain,
    ! [X96,X97,X95] :
      ( c0_1(X96)
      | ~ c3_1(X96)
      | ~ ndr1_0
      | c3_1(X95)
      | ~ c1_1(X97)
      | ~ c1_1(X95)
      | c2_1(X96)
      | c3_1(X97)
      | c2_1(X95)
      | ~ c2_1(X97) ),
    inference(duplicate_literal_removal,[],[f39]) ).

fof(f39,plain,
    ! [X96,X97,X95] :
      ( c2_1(X96)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X96)
      | c0_1(X96)
      | ~ ndr1_0
      | ~ c2_1(X97)
      | c3_1(X97)
      | c2_1(X95)
      | ~ c1_1(X97)
      | ~ c1_1(X95)
      | c3_1(X95) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f957,plain,
    ( ~ spl0_44
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f114,f954,f436]) ).

fof(f114,plain,
    ( ~ c3_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f945,plain,
    ( ~ spl0_10
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f150,f942,f289]) ).

fof(f150,plain,
    ( ~ c0_1(a18)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f939,plain,
    ( ~ spl0_31
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f77,f936,f376]) ).

fof(f77,plain,
    ( ~ c1_1(a58)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f933,plain,
    ( spl0_139
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f177,f432,f930]) ).

fof(f177,plain,
    ( ~ hskp27
    | c0_1(a12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f928,plain,
    ( ~ spl0_35
    | spl0_138 ),
    inference(avatar_split_clause,[],[f163,f925,f395]) ).

fof(f163,plain,
    ( c2_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f922,plain,
    ( ~ spl0_1
    | spl0_66
    | spl0_37
    | spl0_51 ),
    inference(avatar_split_clause,[],[f220,f467,f404,f531,f248]) ).

fof(f404,plain,
    ( spl0_37
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f220,plain,
    ! [X48,X49] :
      ( c0_1(X48)
      | hskp1
      | ~ c3_1(X49)
      | c1_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | c2_1(X49)
      | ~ c1_1(X49) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X48,X49] :
      ( ~ ndr1_0
      | c0_1(X48)
      | c1_1(X48)
      | ~ c2_1(X48)
      | c2_1(X49)
      | ~ ndr1_0
      | hskp1
      | ~ c1_1(X49)
      | ~ c3_1(X49) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f914,plain,
    ( ~ spl0_20
    | spl0_136 ),
    inference(avatar_split_clause,[],[f69,f911,f332]) ).

fof(f69,plain,
    ( c2_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f909,plain,
    ( spl0_135
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f127,f320,f906]) ).

fof(f127,plain,
    ( ~ hskp28
    | c2_1(a25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f904,plain,
    ( ~ spl0_134
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f82,f471,f901]) ).

fof(f82,plain,
    ( ~ hskp14
    | ~ c0_1(a22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f899,plain,
    ( ~ spl0_133
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f108,f324,f896]) ).

fof(f108,plain,
    ( ~ hskp7
    | ~ c2_1(a14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f894,plain,
    ( ~ spl0_1
    | spl0_8
    | spl0_132
    | spl0_95 ),
    inference(avatar_split_clause,[],[f169,f690,f892,f280,f248]) ).

fof(f169,plain,
    ! [X29] :
      ( hskp17
      | ~ c2_1(X29)
      | c0_1(X29)
      | hskp21
      | ~ c3_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f883,plain,
    ( spl0_130
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f31,f447,f880]) ).

fof(f31,plain,
    ( ~ hskp3
    | c0_1(a7) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f878,plain,
    ( ~ spl0_74
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f52,f875,f568]) ).

fof(f568,plain,
    ( spl0_74
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f52,plain,
    ( ~ c3_1(a13)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f872,plain,
    ( ~ spl0_128
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f182,f390,f869]) ).

fof(f182,plain,
    ( ~ hskp9
    | ~ c3_1(a16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f867,plain,
    ( ~ spl0_95
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f102,f864,f690]) ).

fof(f102,plain,
    ( ~ c0_1(a28)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f862,plain,
    ( spl0_126
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f174,f432,f859]) ).

fof(f174,plain,
    ( ~ hskp27
    | c1_1(a12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f857,plain,
    ( ~ spl0_58
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f47,f854,f499]) ).

fof(f47,plain,
    ( ~ c0_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f852,plain,
    ( spl0_88
    | ~ spl0_1
    | spl0_123
    | spl0_124 ),
    inference(avatar_split_clause,[],[f222,f850,f847,f248,f649]) ).

fof(f222,plain,
    ! [X58,X59,X57] :
      ( c2_1(X57)
      | c3_1(X58)
      | ~ ndr1_0
      | c1_1(X59)
      | c3_1(X59)
      | c2_1(X58)
      | c1_1(X57)
      | c0_1(X57)
      | ~ c1_1(X58)
      | ~ c2_1(X59) ),
    inference(duplicate_literal_removal,[],[f132]) ).

fof(f132,plain,
    ! [X58,X59,X57] :
      ( c1_1(X59)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X59)
      | ~ c1_1(X58)
      | c1_1(X57)
      | ~ c2_1(X59)
      | c2_1(X57)
      | ~ ndr1_0
      | c0_1(X57)
      | c3_1(X58)
      | c2_1(X58) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f845,plain,
    ( ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f54,f842,f303]) ).

fof(f54,plain,
    ( ~ c2_1(a9)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f840,plain,
    ( ~ spl0_50
    | spl0_121 ),
    inference(avatar_split_clause,[],[f10,f837,f463]) ).

fof(f10,plain,
    ( c1_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f835,plain,
    ( ~ spl0_120
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f146,f476,f832]) ).

fof(f146,plain,
    ( ~ hskp25
    | ~ c3_1(a70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f828,plain,
    ( ~ spl0_119
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f142,f262,f825]) ).

fof(f142,plain,
    ( ~ hskp11
    | ~ c3_1(a19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f822,plain,
    ( spl0_65
    | ~ spl0_1
    | spl0_118
    | spl0_74 ),
    inference(avatar_split_clause,[],[f224,f568,f820,f248,f528]) ).

fof(f224,plain,
    ! [X16,X15] :
      ( hskp6
      | c3_1(X15)
      | ~ c2_1(X15)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | ~ c1_1(X16)
      | ~ c2_1(X16)
      | c3_1(X16) ),
    inference(duplicate_literal_removal,[],[f198]) ).

fof(f198,plain,
    ! [X16,X15] :
      ( c3_1(X16)
      | ~ c0_1(X15)
      | ~ c1_1(X16)
      | ~ c2_1(X15)
      | ~ c2_1(X16)
      | ~ ndr1_0
      | hskp6
      | ~ ndr1_0
      | c3_1(X15) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f812,plain,
    ( ~ spl0_32
    | spl0_116 ),
    inference(avatar_split_clause,[],[f65,f809,f381]) ).

fof(f65,plain,
    ( c3_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f806,plain,
    ( ~ spl0_16
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f194,f803,f315]) ).

fof(f194,plain,
    ( ~ c1_1(a24)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f801,plain,
    ( spl0_114
    | ~ spl0_43 ),
    inference(avatar_split_clause,[],[f176,f432,f798]) ).

fof(f176,plain,
    ( ~ hskp27
    | c3_1(a12) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f796,plain,
    ( spl0_18
    | ~ spl0_1
    | spl0_54
    | spl0_78 ),
    inference(avatar_split_clause,[],[f225,f593,f480,f248,f324]) ).

fof(f225,plain,
    ! [X38,X39] :
      ( ~ c1_1(X39)
      | ~ c1_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | hskp7
      | ~ c2_1(X39)
      | ~ c0_1(X38)
      | ~ c3_1(X38) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X38,X39] :
      ( ~ c2_1(X39)
      | ~ c0_1(X39)
      | ~ c1_1(X39)
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | ~ c3_1(X38)
      | ~ ndr1_0
      | hskp7
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f795,plain,
    ( spl0_12
    | spl0_34
    | spl0_29
    | ~ spl0_1 ),
    inference(avatar_split_clause,[],[f9,f248,f368,f390,f298]) ).

fof(f298,plain,
    ( spl0_12
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f9,plain,
    ! [X117] :
      ( ~ ndr1_0
      | ~ c0_1(X117)
      | hskp9
      | c2_1(X117)
      | ~ c3_1(X117)
      | hskp29 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f794,plain,
    ( spl0_113
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f118,f515,f791]) ).

fof(f118,plain,
    ( ~ hskp2
    | c3_1(a3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f789,plain,
    ( ~ spl0_112
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f144,f476,f786]) ).

fof(f144,plain,
    ( ~ hskp25
    | ~ c1_1(a70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f783,plain,
    ( spl0_17
    | ~ spl0_1
    | spl0_50
    | spl0_66 ),
    inference(avatar_split_clause,[],[f8,f531,f463,f248,f320]) ).

fof(f8,plain,
    ! [X118] :
      ( ~ c1_1(X118)
      | ~ c3_1(X118)
      | hskp0
      | ~ ndr1_0
      | hskp28
      | c2_1(X118) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f782,plain,
    ( spl0_111
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f141,f262,f779]) ).

fof(f141,plain,
    ( ~ hskp11
    | c2_1(a19) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f777,plain,
    ( ~ spl0_110
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f53,f568,f774]) ).

fof(f53,plain,
    ( ~ hskp6
    | ~ c1_1(a13) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f771,plain,
    ( ~ spl0_109
    | ~ spl0_37 ),
    inference(avatar_split_clause,[],[f181,f404,f768]) ).

fof(f181,plain,
    ( ~ hskp1
    | ~ c2_1(a2) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f761,plain,
    ( spl0_107
    | ~ spl0_52 ),
    inference(avatar_split_clause,[],[f83,f471,f758]) ).

fof(f83,plain,
    ( ~ hskp14
    | c3_1(a22) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f756,plain,
    ( spl0_106
    | ~ spl0_13 ),
    inference(avatar_split_clause,[],[f56,f303,f753]) ).

fof(f56,plain,
    ( ~ hskp4
    | c0_1(a9) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f751,plain,
    ( spl0_62
    | spl0_32
    | spl0_13 ),
    inference(avatar_split_clause,[],[f98,f303,f381,f515]) ).

fof(f98,plain,
    ( hskp4
    | hskp16
    | hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f750,plain,
    ( ~ spl0_58
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f46,f747,f499]) ).

fof(f46,plain,
    ( ~ c3_1(a31)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f745,plain,
    ( ~ spl0_32
    | spl0_104 ),
    inference(avatar_split_clause,[],[f67,f742,f381]) ).

fof(f67,plain,
    ( c0_1(a27)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f740,plain,
    ( ~ spl0_1
    | spl0_48
    | spl0_74
    | spl0_65 ),
    inference(avatar_split_clause,[],[f226,f528,f568,f456,f248]) ).

fof(f226,plain,
    ! [X40,X41] :
      ( ~ c2_1(X40)
      | hskp6
      | c3_1(X41)
      | ~ c2_1(X41)
      | ~ ndr1_0
      | ~ c1_1(X40)
      | c3_1(X40)
      | c0_1(X41) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X40,X41] :
      ( c3_1(X41)
      | c3_1(X40)
      | hskp6
      | ~ ndr1_0
      | ~ c1_1(X40)
      | ~ ndr1_0
      | ~ c2_1(X41)
      | ~ c2_1(X40)
      | c0_1(X41) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f738,plain,
    ( ~ spl0_1
    | spl0_85
    | spl0_44
    | spl0_54 ),
    inference(avatar_split_clause,[],[f227,f480,f436,f635,f248]) ).

fof(f227,plain,
    ! [X65,X64] :
      ( ~ c1_1(X64)
      | hskp8
      | ~ c0_1(X64)
      | ~ c0_1(X65)
      | c3_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X64)
      | ~ c1_1(X65) ),
    inference(duplicate_literal_removal,[],[f120]) ).

fof(f120,plain,
    ! [X65,X64] :
      ( ~ ndr1_0
      | ~ c0_1(X64)
      | ~ c1_1(X64)
      | c3_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X64)
      | hskp8
      | ~ c1_1(X65)
      | ~ c0_1(X65) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f737,plain,
    ( spl0_103
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f100,f690,f734]) ).

fof(f100,plain,
    ( ~ hskp17
    | c3_1(a28) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f727,plain,
    ( ~ spl0_1
    | spl0_35
    | spl0_85
    | spl0_19 ),
    inference(avatar_split_clause,[],[f228,f328,f635,f395,f248]) ).

fof(f228,plain,
    ! [X90,X89] :
      ( ~ c3_1(X89)
      | ~ c0_1(X90)
      | hskp12
      | c2_1(X89)
      | ~ c1_1(X90)
      | ~ ndr1_0
      | c0_1(X89)
      | c3_1(X90) ),
    inference(duplicate_literal_removal,[],[f42]) ).

fof(f42,plain,
    ! [X90,X89] :
      ( c2_1(X89)
      | ~ ndr1_0
      | ~ ndr1_0
      | c3_1(X90)
      | ~ c0_1(X90)
      | c0_1(X89)
      | ~ c3_1(X89)
      | hskp12
      | ~ c1_1(X90) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f719,plain,
    ( spl0_100
    | ~ spl0_18 ),
    inference(avatar_split_clause,[],[f107,f324,f716]) ).

fof(f107,plain,
    ( ~ hskp7
    | c1_1(a14) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f714,plain,
    ( spl0_99
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f145,f476,f711]) ).

fof(f145,plain,
    ( ~ hskp25
    | c0_1(a70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f708,plain,
    ( ~ spl0_37
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f178,f705,f404]) ).

fof(f178,plain,
    ( ~ c0_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f703,plain,
    ( spl0_97
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f205,f298,f700]) ).

fof(f205,plain,
    ( ~ hskp29
    | c1_1(a35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f698,plain,
    ( ~ spl0_40
    | spl0_96 ),
    inference(avatar_split_clause,[],[f88,f695,f417]) ).

fof(f417,plain,
    ( spl0_40
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f88,plain,
    ( c0_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f693,plain,
    ( spl0_62
    | spl0_34
    | spl0_95 ),
    inference(avatar_split_clause,[],[f45,f690,f390,f515]) ).

fof(f45,plain,
    ( hskp17
    | hskp9
    | hskp2 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f688,plain,
    ( spl0_40
    | spl0_52
    | ~ spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f97,f328,f248,f471,f417]) ).

fof(f97,plain,
    ! [X68] :
      ( ~ c3_1(X68)
      | ~ ndr1_0
      | hskp14
      | c2_1(X68)
      | c0_1(X68)
      | hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f685,plain,
    ( ~ spl0_94
    | ~ spl0_6 ),
    inference(avatar_split_clause,[],[f158,f271,f682]) ).

fof(f158,plain,
    ( ~ hskp5
    | ~ c2_1(a11) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f680,plain,
    ( spl0_93
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f183,f390,f677]) ).

fof(f183,plain,
    ( ~ hskp9
    | c1_1(a16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f673,plain,
    ( spl0_92
    | ~ spl0_17 ),
    inference(avatar_split_clause,[],[f128,f320,f670]) ).

fof(f128,plain,
    ( ~ hskp28
    | c1_1(a25) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f666,plain,
    ( ~ spl0_8
    | spl0_91 ),
    inference(avatar_split_clause,[],[f171,f663,f280]) ).

fof(f171,plain,
    ( c1_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f661,plain,
    ( ~ spl0_90
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f50,f568,f658]) ).

fof(f50,plain,
    ( ~ hskp6
    | ~ c0_1(a13) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f656,plain,
    ( ~ spl0_68
    | spl0_89 ),
    inference(avatar_split_clause,[],[f94,f653,f541]) ).

fof(f94,plain,
    ( c2_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f651,plain,
    ( ~ spl0_1
    | spl0_37
    | spl0_10
    | spl0_88 ),
    inference(avatar_split_clause,[],[f26,f649,f289,f404,f248]) ).

fof(f26,plain,
    ! [X110] :
      ( c3_1(X110)
      | hskp10
      | hskp1
      | ~ ndr1_0
      | ~ c2_1(X110)
      | c1_1(X110) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f647,plain,
    ( ~ spl0_40
    | spl0_87 ),
    inference(avatar_split_clause,[],[f86,f644,f417]) ).

fof(f86,plain,
    ( c2_1(a21)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f642,plain,
    ( ~ spl0_20
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f71,f639,f332]) ).

fof(f71,plain,
    ( ~ c1_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f637,plain,
    ( ~ spl0_1
    | spl0_55
    | spl0_29
    | spl0_85 ),
    inference(avatar_split_clause,[],[f232,f635,f368,f484,f248]) ).

fof(f232,plain,
    ! [X54,X52,X53] :
      ( ~ c1_1(X53)
      | ~ c3_1(X52)
      | ~ c0_1(X52)
      | ~ c1_1(X54)
      | c3_1(X53)
      | ~ ndr1_0
      | ~ c0_1(X54)
      | ~ c0_1(X53)
      | c2_1(X52)
      | c2_1(X54) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X54,X52,X53] :
      ( ~ ndr1_0
      | ~ c3_1(X52)
      | ~ c0_1(X52)
      | ~ ndr1_0
      | ~ c1_1(X53)
      | c3_1(X53)
      | ~ c1_1(X54)
      | ~ ndr1_0
      | ~ c0_1(X53)
      | c2_1(X52)
      | c2_1(X54)
      | ~ c0_1(X54) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f632,plain,
    ( spl0_23
    | ~ spl0_1
    | spl0_74
    | spl0_66 ),
    inference(avatar_split_clause,[],[f233,f531,f568,f248,f343]) ).

fof(f233,plain,
    ! [X50,X51] :
      ( c2_1(X50)
      | ~ c1_1(X50)
      | hskp6
      | ~ ndr1_0
      | c3_1(X51)
      | c2_1(X51)
      | ~ c3_1(X50)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X50,X51] :
      ( c3_1(X51)
      | ~ c1_1(X50)
      | ~ c3_1(X50)
      | ~ ndr1_0
      | hskp6
      | c2_1(X51)
      | c2_1(X50)
      | ~ ndr1_0
      | c0_1(X51) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f620,plain,
    ( ~ spl0_20
    | spl0_82 ),
    inference(avatar_split_clause,[],[f70,f617,f332]) ).

fof(f70,plain,
    ( c3_1(a36)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f615,plain,
    ( ~ spl0_1
    | spl0_34
    | spl0_81
    | spl0_24 ),
    inference(avatar_split_clause,[],[f234,f346,f613,f390,f248]) ).

fof(f234,plain,
    ! [X113,X112] :
      ( c2_1(X112)
      | c3_1(X112)
      | ~ c1_1(X113)
      | hskp9
      | ~ ndr1_0
      | c1_1(X112)
      | ~ c2_1(X113)
      | c0_1(X113) ),
    inference(duplicate_literal_removal,[],[f20]) ).

fof(f20,plain,
    ! [X113,X112] :
      ( c2_1(X112)
      | c3_1(X112)
      | ~ c1_1(X113)
      | ~ ndr1_0
      | ~ c2_1(X113)
      | hskp9
      | c0_1(X113)
      | c1_1(X112)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f609,plain,
    ( spl0_1
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f185,f390,f248]) ).

fof(f185,plain,
    ( ~ hskp9
    | ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f608,plain,
    ( ~ spl0_44
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f113,f605,f436]) ).

fof(f113,plain,
    ( ~ c2_1(a15)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f603,plain,
    ( spl0_76
    | spl0_29
    | ~ spl0_1
    | spl0_65 ),
    inference(avatar_split_clause,[],[f235,f528,f248,f368,f581]) ).

fof(f235,plain,
    ! [X106,X104,X105] :
      ( c3_1(X104)
      | ~ ndr1_0
      | ~ c3_1(X105)
      | ~ c0_1(X105)
      | c2_1(X106)
      | ~ c3_1(X106)
      | ~ c1_1(X104)
      | c2_1(X105)
      | c1_1(X106)
      | ~ c2_1(X104) ),
    inference(duplicate_literal_removal,[],[f28]) ).

fof(f28,plain,
    ! [X106,X104,X105] :
      ( ~ c1_1(X104)
      | c2_1(X106)
      | ~ c0_1(X105)
      | c3_1(X104)
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ ndr1_0
      | ~ c3_1(X105)
      | c2_1(X105)
      | ~ c3_1(X106)
      | ~ c2_1(X104)
      | c1_1(X106) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f600,plain,
    ( ~ spl0_79
    | ~ spl0_10 ),
    inference(avatar_split_clause,[],[f152,f289,f597]) ).

fof(f152,plain,
    ( ~ hskp10
    | ~ c1_1(a18) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f595,plain,
    ( ~ spl0_1
    | spl0_61
    | spl0_78
    | spl0_34 ),
    inference(avatar_split_clause,[],[f236,f390,f593,f511,f248]) ).

fof(f236,plain,
    ! [X14,X13] :
      ( hskp9
      | ~ c2_1(X13)
      | ~ c1_1(X13)
      | c0_1(X14)
      | ~ c1_1(X14)
      | c2_1(X14)
      | ~ c0_1(X13)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f199,plain,
    ! [X14,X13] :
      ( c2_1(X14)
      | ~ c1_1(X14)
      | c0_1(X14)
      | ~ c2_1(X13)
      | hskp9
      | ~ ndr1_0
      | ~ c0_1(X13)
      | ~ ndr1_0
      | ~ c1_1(X13) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f590,plain,
    ( ~ spl0_68
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f93,f587,f541]) ).

fof(f93,plain,
    ( ~ c1_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f584,plain,
    ( ~ spl0_1
    | spl0_62
    | spl0_76
    | spl0_51 ),
    inference(avatar_split_clause,[],[f237,f467,f581,f515,f248]) ).

fof(f237,plain,
    ! [X70,X69] :
      ( ~ c2_1(X70)
      | ~ c3_1(X69)
      | hskp2
      | ~ ndr1_0
      | c1_1(X70)
      | c0_1(X70)
      | c2_1(X69)
      | c1_1(X69) ),
    inference(duplicate_literal_removal,[],[f91]) ).

fof(f91,plain,
    ! [X70,X69] :
      ( ~ ndr1_0
      | c1_1(X69)
      | ~ c3_1(X69)
      | c1_1(X70)
      | c2_1(X69)
      | ~ c2_1(X70)
      | ~ ndr1_0
      | hskp2
      | c0_1(X70) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f576,plain,
    ( spl0_75
    | ~ spl0_46 ),
    inference(avatar_split_clause,[],[f32,f447,f573]) ).

fof(f32,plain,
    ( ~ hskp3
    | c3_1(a7) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f571,plain,
    ( spl0_74
    | spl0_31
    | ~ spl0_1
    | spl0_55 ),
    inference(avatar_split_clause,[],[f36,f484,f248,f376,f568]) ).

fof(f36,plain,
    ! [X99] :
      ( c2_1(X99)
      | ~ c1_1(X99)
      | ~ ndr1_0
      | hskp24
      | hskp6
      | ~ c0_1(X99) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f566,plain,
    ( ~ spl0_1
    | spl0_72
    | spl0_73
    | spl0_19 ),
    inference(avatar_split_clause,[],[f238,f328,f564,f561,f248]) ).

fof(f238,plain,
    ! [X78,X79,X77] :
      ( c0_1(X77)
      | c0_1(X78)
      | c1_1(X79)
      | ~ c3_1(X78)
      | ~ ndr1_0
      | ~ c0_1(X79)
      | c2_1(X79)
      | ~ c3_1(X77)
      | c2_1(X77)
      | c1_1(X78) ),
    inference(duplicate_literal_removal,[],[f74]) ).

fof(f74,plain,
    ! [X78,X79,X77] :
      ( ~ c3_1(X77)
      | c1_1(X78)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | c0_1(X78)
      | ~ c3_1(X78)
      | c2_1(X79)
      | ~ ndr1_0
      | c2_1(X77)
      | ~ ndr1_0
      | c0_1(X77)
      | c1_1(X79) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f559,plain,
    ( ~ spl0_1
    | spl0_53
    | spl0_71
    | spl0_54 ),
    inference(avatar_split_clause,[],[f239,f480,f557,f476,f248]) ).

fof(f239,plain,
    ! [X3,X4] :
      ( ~ c0_1(X4)
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | hskp25
      | ~ ndr1_0
      | ~ c3_1(X4)
      | ~ c1_1(X3)
      | ~ c1_1(X4) ),
    inference(duplicate_literal_removal,[],[f209]) ).

fof(f209,plain,
    ! [X3,X4] :
      ( hskp25
      | ~ c1_1(X3)
      | ~ c0_1(X4)
      | ~ ndr1_0
      | ~ c2_1(X3)
      | ~ c3_1(X3)
      | ~ ndr1_0
      | ~ c3_1(X4)
      | ~ c1_1(X4) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f555,plain,
    ( spl0_70
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f203,f298,f552]) ).

fof(f203,plain,
    ( ~ hskp29
    | c2_1(a35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f548,plain,
    ( ~ spl0_68
    | spl0_69 ),
    inference(avatar_split_clause,[],[f95,f545,f541]) ).

fof(f95,plain,
    ( c0_1(a42)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f539,plain,
    ( ~ spl0_1
    | spl0_59
    | spl0_23
    | spl0_65 ),
    inference(avatar_split_clause,[],[f240,f528,f343,f503,f248]) ).

fof(f240,plain,
    ! [X72,X73,X71] :
      ( ~ c1_1(X73)
      | c2_1(X72)
      | c0_1(X72)
      | ~ c0_1(X71)
      | ~ c2_1(X71)
      | c3_1(X72)
      | c3_1(X73)
      | ~ c2_1(X73)
      | ~ ndr1_0
      | c1_1(X71) ),
    inference(duplicate_literal_removal,[],[f90]) ).

fof(f90,plain,
    ! [X72,X73,X71] :
      ( ~ c0_1(X71)
      | c1_1(X71)
      | c2_1(X72)
      | c3_1(X73)
      | ~ c1_1(X73)
      | ~ ndr1_0
      | ~ c2_1(X73)
      | ~ ndr1_0
      | c0_1(X72)
      | c3_1(X72)
      | ~ ndr1_0
      | ~ c2_1(X71) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f538,plain,
    ( ~ spl0_67
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f117,f515,f535]) ).

fof(f117,plain,
    ( ~ hskp2
    | ~ c2_1(a3) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f533,plain,
    ( ~ spl0_1
    | spl0_65
    | spl0_66
    | spl0_34 ),
    inference(avatar_split_clause,[],[f241,f390,f531,f528,f248]) ).

fof(f241,plain,
    ! [X62,X63] :
      ( hskp9
      | c2_1(X63)
      | ~ c3_1(X63)
      | ~ c1_1(X62)
      | c3_1(X62)
      | ~ c2_1(X62)
      | ~ c1_1(X63)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f121]) ).

fof(f121,plain,
    ! [X62,X63] :
      ( ~ c1_1(X62)
      | c3_1(X62)
      | ~ c3_1(X63)
      | ~ ndr1_0
      | c2_1(X63)
      | ~ c1_1(X63)
      | hskp9
      | ~ c2_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f526,plain,
    ( ~ spl0_50
    | spl0_64 ),
    inference(avatar_split_clause,[],[f13,f523,f463]) ).

fof(f13,plain,
    ( c2_1(a1)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f521,plain,
    ( ~ spl0_1
    | spl0_37
    | spl0_62
    | spl0_63 ),
    inference(avatar_split_clause,[],[f131,f519,f515,f404,f248]) ).

fof(f131,plain,
    ! [X60] :
      ( c3_1(X60)
      | c0_1(X60)
      | hskp2
      | c1_1(X60)
      | hskp1
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f513,plain,
    ( spl0_61
    | spl0_14
    | ~ spl0_1
    | spl0_22 ),
    inference(avatar_split_clause,[],[f242,f340,f248,f307,f511]) ).

fof(f242,plain,
    ! [X36,X34,X35] :
      ( ~ c2_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | c1_1(X34)
      | c2_1(X35)
      | c3_1(X35)
      | ~ c1_1(X36)
      | c0_1(X36)
      | c2_1(X36)
      | ~ c0_1(X35) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X36,X34,X35] :
      ( ~ ndr1_0
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ c1_1(X36)
      | c3_1(X35)
      | c0_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ ndr1_0
      | c2_1(X35)
      | ~ c0_1(X35)
      | c1_1(X34) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f505,plain,
    ( spl0_58
    | ~ spl0_1
    | spl0_49
    | spl0_59 ),
    inference(avatar_split_clause,[],[f243,f503,f459,f248,f499]) ).

fof(f243,plain,
    ! [X56,X55] :
      ( ~ c0_1(X56)
      | c3_1(X55)
      | c1_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | hskp18
      | c1_1(X56)
      | ~ c0_1(X55) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X56,X55] :
      ( ~ ndr1_0
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c0_1(X55)
      | c3_1(X55)
      | ~ c0_1(X56)
      | hskp18
      | ~ c2_1(X56)
      | c1_1(X55) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f491,plain,
    ( ~ spl0_56
    | ~ spl0_8 ),
    inference(avatar_split_clause,[],[f173,f280,f488]) ).

fof(f173,plain,
    ( ~ hskp21
    | ~ c2_1(a38) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f469,plain,
    ( spl0_50
    | spl0_46
    | ~ spl0_1
    | spl0_51 ),
    inference(avatar_split_clause,[],[f38,f467,f248,f447,f463]) ).

fof(f38,plain,
    ! [X98] :
      ( c1_1(X98)
      | ~ ndr1_0
      | ~ c2_1(X98)
      | hskp3
      | hskp0
      | c0_1(X98) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f461,plain,
    ( spl0_48
    | spl0_49
    | ~ spl0_1
    | spl0_24 ),
    inference(avatar_split_clause,[],[f244,f346,f248,f459,f456]) ).

fof(f244,plain,
    ! [X94,X92,X93] :
      ( c3_1(X94)
      | ~ ndr1_0
      | ~ c0_1(X92)
      | c1_1(X94)
      | c2_1(X94)
      | c3_1(X93)
      | c0_1(X93)
      | c3_1(X92)
      | ~ c2_1(X93)
      | c1_1(X92) ),
    inference(duplicate_literal_removal,[],[f40]) ).

fof(f40,plain,
    ! [X94,X92,X93] :
      ( c1_1(X94)
      | ~ c0_1(X92)
      | c3_1(X92)
      | c3_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c1_1(X92)
      | c0_1(X93)
      | ~ ndr1_0
      | ~ c2_1(X93)
      | ~ ndr1_0
      | c2_1(X94) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f454,plain,
    ( ~ spl0_46
    | ~ spl0_47 ),
    inference(avatar_split_clause,[],[f34,f451,f447]) ).

fof(f34,plain,
    ( ~ c2_1(a7)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f445,plain,
    ( spl0_8
    | spl0_31
    | spl0_40 ),
    inference(avatar_split_clause,[],[f59,f417,f376,f280]) ).

fof(f59,plain,
    ( hskp13
    | hskp24
    | hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f444,plain,
    ( ~ spl0_45
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f76,f376,f441]) ).

fof(f76,plain,
    ( ~ hskp24
    | ~ c0_1(a58) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f430,plain,
    ( ~ spl0_17
    | spl0_42 ),
    inference(avatar_split_clause,[],[f129,f427,f320]) ).

fof(f129,plain,
    ( c3_1(a25)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f425,plain,
    ( ~ spl0_41
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f196,f315,f422]) ).

fof(f196,plain,
    ( ~ hskp15
    | ~ c0_1(a24) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f420,plain,
    ( ~ spl0_39
    | ~ spl0_40 ),
    inference(avatar_split_clause,[],[f89,f417,f413]) ).

fof(f89,plain,
    ( ~ hskp13
    | ~ c3_1(a21) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f411,plain,
    ( ~ spl0_37
    | ~ spl0_38 ),
    inference(avatar_split_clause,[],[f180,f408,f404]) ).

fof(f180,plain,
    ( ~ c3_1(a2)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f402,plain,
    ( ~ spl0_35
    | ~ spl0_36 ),
    inference(avatar_split_clause,[],[f161,f399,f395]) ).

fof(f161,plain,
    ( ~ c1_1(a20)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f393,plain,
    ( spl0_33
    | ~ spl0_34 ),
    inference(avatar_split_clause,[],[f184,f390,f386]) ).

fof(f184,plain,
    ( ~ hskp9
    | c0_1(a16) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f379,plain,
    ( spl0_30
    | ~ spl0_31 ),
    inference(avatar_split_clause,[],[f75,f376,f372]) ).

fof(f75,plain,
    ( ~ hskp24
    | c2_1(a58) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f370,plain,
    ( spl0_4
    | spl0_29
    | ~ spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f245,f328,f248,f368,f262]) ).

fof(f245,plain,
    ! [X66,X67] :
      ( ~ c3_1(X67)
      | c2_1(X67)
      | ~ ndr1_0
      | c2_1(X66)
      | ~ c3_1(X66)
      | ~ c0_1(X66)
      | c0_1(X67)
      | hskp11 ),
    inference(duplicate_literal_removal,[],[f111]) ).

fof(f111,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | c2_1(X67)
      | ~ c3_1(X66)
      | c0_1(X67)
      | ~ ndr1_0
      | hskp11
      | c2_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f348,plain,
    ( ~ spl0_1
    | spl0_22
    | spl0_23
    | spl0_24 ),
    inference(avatar_split_clause,[],[f246,f346,f343,f340,f248]) ).

fof(f246,plain,
    ! [X108,X109,X107] :
      ( c2_1(X109)
      | c2_1(X108)
      | c1_1(X107)
      | c1_1(X109)
      | ~ c3_1(X107)
      | c3_1(X109)
      | c3_1(X108)
      | c0_1(X108)
      | ~ c2_1(X107)
      | ~ ndr1_0 ),
    inference(duplicate_literal_removal,[],[f27]) ).

fof(f27,plain,
    ! [X108,X109,X107] :
      ( ~ ndr1_0
      | c3_1(X108)
      | ~ ndr1_0
      | c1_1(X107)
      | ~ c3_1(X107)
      | c1_1(X109)
      | c2_1(X108)
      | ~ ndr1_0
      | c2_1(X109)
      | c3_1(X109)
      | ~ c2_1(X107)
      | c0_1(X108) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f330,plain,
    ( spl0_17
    | spl0_18
    | ~ spl0_1
    | spl0_19 ),
    inference(avatar_split_clause,[],[f187,f328,f248,f324,f320]) ).

fof(f187,plain,
    ! [X27] :
      ( c0_1(X27)
      | c2_1(X27)
      | ~ c3_1(X27)
      | ~ ndr1_0
      | hskp7
      | hskp28 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f318,plain,
    ( ~ spl0_15
    | ~ spl0_16 ),
    inference(avatar_split_clause,[],[f195,f315,f311]) ).

fof(f195,plain,
    ( ~ hskp15
    | ~ c2_1(a24) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f301,plain,
    ( spl0_11
    | ~ spl0_12 ),
    inference(avatar_split_clause,[],[f204,f298,f294]) ).

fof(f204,plain,
    ( ~ hskp29
    | c0_1(a35) ),
    inference(cnf_transformation,[],[f7]) ).

fof(f287,plain,
    ( ~ spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f170,f284,f280]) ).

fof(f170,plain,
    ( c0_1(a38)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f278,plain,
    ( ~ spl0_6
    | ~ spl0_7 ),
    inference(avatar_split_clause,[],[f156,f275,f271]) ).

fof(f156,plain,
    ( ~ c1_1(a11)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f7]) ).

fof(f269,plain,
    ( ~ spl0_4
    | ~ spl0_5 ),
    inference(avatar_split_clause,[],[f140,f266,f262]) ).

fof(f140,plain,
    ( ~ c0_1(a19)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f7]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SYN498+1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.13/0.34  % Computer : n026.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   : Tue Aug 30 22:19:36 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.20/0.52  % (10334)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.20/0.52  % (10334)Instruction limit reached!
% 0.20/0.52  % (10334)------------------------------
% 0.20/0.52  % (10334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.52  % (10334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.52  % (10334)Termination reason: Unknown
% 0.20/0.52  % (10334)Termination phase: Unused predicate definition removal
% 0.20/0.52  
% 0.20/0.52  % (10334)Memory used [KB]: 1151
% 0.20/0.52  % (10334)Time elapsed: 0.002 s
% 0.20/0.52  % (10334)Instructions burned: 3 (million)
% 0.20/0.52  % (10334)------------------------------
% 0.20/0.52  % (10334)------------------------------
% 0.20/0.52  % (10327)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.52  % (10330)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.53  % (10348)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.20/0.53  % (10331)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.20/0.53  % (10333)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.20/0.53  % (10353)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.20/0.53  % (10335)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (10349)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.20/0.54  % (10326)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.20/0.54  % (10337)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (10355)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.20/0.54  % (10329)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (10341)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.20/0.54  % (10332)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.54  % (10345)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (10343)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.20/0.54  % (10344)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.20/0.54  % (10339)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.54  % (10340)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.54  Detected maximum model sizes of [31]
% 0.20/0.54  TRYING [1]
% 0.20/0.55  % (10328)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.20/0.55  TRYING [2]
% 0.20/0.55  % (10350)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.20/0.55  % (10342)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.20/0.55  % (10354)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.20/0.55  % (10346)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.55  % (10336)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.20/0.55  % (10333)Instruction limit reached!
% 0.20/0.55  % (10333)------------------------------
% 0.20/0.55  % (10333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.20/0.55  % (10333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.20/0.55  % (10333)Termination reason: Unknown
% 0.20/0.55  % (10333)Termination phase: Saturation
% 0.20/0.55  
% 0.20/0.55  % (10333)Memory used [KB]: 6012
% 0.20/0.55  % (10333)Time elapsed: 0.005 s
% 0.20/0.55  % (10333)Instructions burned: 7 (million)
% 0.20/0.55  % (10333)------------------------------
% 0.20/0.55  % (10333)------------------------------
% 0.20/0.55  % (10347)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.20/0.55  % (10352)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.20/0.55  % (10351)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.20/0.56  % (10338)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.20/0.57  Detected maximum model sizes of [31]
% 0.20/0.57  TRYING [1]
% 0.20/0.57  TRYING [2]
% 0.20/0.57  TRYING [3]
% 0.20/0.57  TRYING [3]
% 1.67/0.57  TRYING [4]
% 1.67/0.58  Detected maximum model sizes of [31]
% 1.67/0.59  % (10327)Instruction limit reached!
% 1.67/0.59  % (10327)------------------------------
% 1.67/0.59  % (10327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.67/0.59  % (10327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.67/0.59  % (10327)Termination reason: Unknown
% 1.67/0.59  % (10327)Termination phase: Saturation
% 1.67/0.59  
% 1.67/0.59  % (10327)Memory used [KB]: 6780
% 1.67/0.59  % (10327)Time elapsed: 0.192 s
% 1.67/0.59  % (10327)Instructions burned: 50 (million)
% 1.67/0.59  % (10327)------------------------------
% 1.67/0.59  % (10327)------------------------------
% 1.67/0.59  TRYING [4]
% 1.86/0.60  % (10330)Instruction limit reached!
% 1.86/0.60  % (10330)------------------------------
% 1.86/0.60  % (10330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60  % (10330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60  % (10330)Termination reason: Unknown
% 1.86/0.60  % (10330)Termination phase: Saturation
% 1.86/0.60  
% 1.86/0.60  % (10330)Memory used [KB]: 7036
% 1.86/0.60  % (10330)Time elapsed: 0.193 s
% 1.86/0.60  % (10330)Instructions burned: 52 (million)
% 1.86/0.60  % (10330)------------------------------
% 1.86/0.60  % (10330)------------------------------
% 1.86/0.60  % (10332)Instruction limit reached!
% 1.86/0.60  % (10332)------------------------------
% 1.86/0.60  % (10332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60  % (10332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60  % (10332)Termination reason: Unknown
% 1.86/0.60  % (10332)Termination phase: Finite model building SAT solving
% 1.86/0.60  
% 1.86/0.60  % (10332)Memory used [KB]: 6524
% 1.86/0.60  % (10332)Time elapsed: 0.182 s
% 1.86/0.60  % (10332)Instructions burned: 52 (million)
% 1.86/0.60  % (10332)------------------------------
% 1.86/0.60  % (10332)------------------------------
% 1.86/0.60  TRYING [1]
% 1.86/0.60  TRYING [2]
% 1.86/0.60  TRYING [3]
% 1.86/0.61  % (10328)Instruction limit reached!
% 1.86/0.61  % (10328)------------------------------
% 1.86/0.61  % (10328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.61  TRYING [4]
% 1.86/0.61  % (10328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.61  % (10328)Termination reason: Unknown
% 1.86/0.61  % (10328)Termination phase: Saturation
% 1.86/0.61  
% 1.86/0.61  % (10328)Memory used [KB]: 1535
% 1.86/0.61  % (10328)Time elapsed: 0.196 s
% 1.86/0.61  % (10328)Instructions burned: 37 (million)
% 1.86/0.61  % (10328)------------------------------
% 1.86/0.61  % (10328)------------------------------
% 1.86/0.61  % (10355)First to succeed.
% 1.86/0.62  % (10359)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.86/0.62  % (10335)Instruction limit reached!
% 1.86/0.62  % (10335)------------------------------
% 1.86/0.62  % (10335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62  % (10335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.62  % (10335)Termination reason: Unknown
% 1.86/0.62  % (10335)Termination phase: Saturation
% 1.86/0.62  
% 1.86/0.62  % (10335)Memory used [KB]: 1663
% 1.86/0.62  % (10335)Time elapsed: 0.216 s
% 1.86/0.62  % (10335)Instructions burned: 52 (million)
% 1.86/0.62  % (10335)------------------------------
% 1.86/0.62  % (10335)------------------------------
% 1.86/0.62  % (10331)Instruction limit reached!
% 1.86/0.62  % (10331)------------------------------
% 1.86/0.62  % (10331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.62  TRYING [5]
% 1.86/0.63  % (10331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.63  % (10331)Termination reason: Unknown
% 1.86/0.63  % (10331)Termination phase: Saturation
% 1.86/0.63  
% 1.86/0.63  % (10331)Memory used [KB]: 7164
% 1.86/0.63  % (10331)Time elapsed: 0.199 s
% 1.86/0.63  % (10331)Instructions burned: 48 (million)
% 1.86/0.63  % (10331)------------------------------
% 1.86/0.63  % (10331)------------------------------
% 2.19/0.65  % (10336)Instruction limit reached!
% 2.19/0.65  % (10336)------------------------------
% 2.19/0.65  % (10336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65  % (10343)Instruction limit reached!
% 2.19/0.65  % (10343)------------------------------
% 2.19/0.65  % (10343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.65  % (10343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.65  % (10343)Termination reason: Unknown
% 2.19/0.65  % (10343)Termination phase: Finite model building SAT solving
% 2.19/0.65  
% 2.19/0.65  % (10343)Memory used [KB]: 6524
% 2.19/0.65  % (10343)Time elapsed: 0.223 s
% 2.19/0.65  % (10343)Instructions burned: 61 (million)
% 2.19/0.65  % (10343)------------------------------
% 2.19/0.65  % (10343)------------------------------
% 2.19/0.65  % (10336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.65  % (10336)Termination reason: Unknown
% 2.19/0.65  % (10336)Termination phase: Saturation
% 2.19/0.65  
% 2.19/0.65  % (10336)Memory used [KB]: 7036
% 2.19/0.65  % (10336)Time elapsed: 0.249 s
% 2.19/0.65  % (10336)Instructions burned: 50 (million)
% 2.19/0.65  % (10336)------------------------------
% 2.19/0.65  % (10336)------------------------------
% 2.19/0.65  % (10337)Also succeeded, but the first one will report.
% 2.19/0.65  % (10329)Also succeeded, but the first one will report.
% 2.19/0.65  % (10355)Refutation found. Thanks to Tanya!
% 2.19/0.65  % SZS status Theorem for theBenchmark
% 2.19/0.65  % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.66  % (10355)------------------------------
% 2.19/0.66  % (10355)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.19/0.66  % (10355)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.19/0.66  % (10355)Termination reason: Refutation
% 2.19/0.66  
% 2.19/0.66  % (10355)Memory used [KB]: 7291
% 2.19/0.66  % (10355)Time elapsed: 0.202 s
% 2.19/0.66  % (10355)Instructions burned: 40 (million)
% 2.19/0.66  % (10355)------------------------------
% 2.19/0.66  % (10355)------------------------------
% 2.19/0.66  % (10325)Success in time 0.295 s
%------------------------------------------------------------------------------