TSTP Solution File: SYN469+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN469+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n029.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 : Sun May  5 11:57:53 EDT 2024

% Result   : Theorem 0.59s 0.83s
% Output   : Refutation 0.59s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  138
% Syntax   : Number of formulae    :  577 (   1 unt;   0 def)
%            Number of atoms       : 5921 (   0 equ)
%            Maximal formula atoms :  667 (  10 avg)
%            Number of connectives : 7924 (2580   ~;3681   |;1098   &)
%                                         ( 137 <=>; 428  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  103 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  172 ( 171 usr; 168 prp; 0-1 aty)
%            Number of functors    :   29 (  29 usr;  29 con; 0-0 aty)
%            Number of variables   :  795 ( 795   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2241,plain,
    $false,
    inference(avatar_sat_refutation,[],[f250,f259,f305,f326,f327,f339,f352,f361,f365,f367,f372,f381,f385,f386,f394,f398,f412,f422,f430,f434,f435,f443,f445,f446,f447,f451,f461,f466,f472,f476,f477,f479,f491,f523,f528,f533,f576,f581,f587,f592,f597,f603,f608,f613,f635,f640,f645,f651,f656,f661,f667,f677,f699,f704,f709,f715,f720,f725,f726,f731,f736,f741,f747,f752,f757,f763,f768,f773,f795,f800,f805,f811,f816,f821,f827,f832,f837,f843,f848,f853,f854,f859,f864,f869,f875,f880,f885,f891,f896,f901,f907,f912,f917,f918,f923,f928,f933,f939,f944,f949,f955,f960,f965,f981,f994,f996,f1005,f1018,f1019,f1025,f1026,f1032,f1038,f1050,f1052,f1062,f1063,f1076,f1078,f1120,f1121,f1148,f1160,f1176,f1229,f1249,f1260,f1293,f1294,f1314,f1315,f1321,f1328,f1367,f1370,f1380,f1403,f1405,f1413,f1425,f1426,f1449,f1488,f1490,f1491,f1492,f1534,f1538,f1551,f1557,f1582,f1606,f1611,f1639,f1640,f1644,f1686,f1703,f1705,f1719,f1721,f1722,f1752,f1795,f1855,f1922,f2008,f2144,f2145,f2148,f2181,f2206,f2207,f2239,f2240]) ).

fof(f2240,plain,
    ( ~ spl0_105
    | spl0_103
    | ~ spl0_42
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f2230,f1636,f405,f728,f738]) ).

fof(f738,plain,
    ( spl0_105
  <=> c2_1(a428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f728,plain,
    ( spl0_103
  <=> c1_1(a428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f405,plain,
    ( spl0_42
  <=> ! [X33] :
        ( ~ c3_1(X33)
        | c1_1(X33)
        | ~ c2_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f1636,plain,
    ( spl0_171
  <=> c3_1(a428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2230,plain,
    ( c1_1(a428)
    | ~ c2_1(a428)
    | ~ spl0_42
    | ~ spl0_171 ),
    inference(resolution,[],[f406,f1638]) ).

fof(f1638,plain,
    ( c3_1(a428)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1636]) ).

fof(f406,plain,
    ( ! [X33] :
        ( ~ c3_1(X33)
        | c1_1(X33)
        | ~ c2_1(X33) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f405]) ).

fof(f2239,plain,
    ( ~ spl0_123
    | spl0_121
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2225,f829,f405,f824,f834]) ).

fof(f834,plain,
    ( spl0_123
  <=> c2_1(a415) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f824,plain,
    ( spl0_121
  <=> c1_1(a415) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f829,plain,
    ( spl0_122
  <=> c3_1(a415) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f2225,plain,
    ( c1_1(a415)
    | ~ c2_1(a415)
    | ~ spl0_42
    | ~ spl0_122 ),
    inference(resolution,[],[f406,f831]) ).

fof(f831,plain,
    ( c3_1(a415)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f2207,plain,
    ( ~ spl0_101
    | spl0_100
    | ~ spl0_48
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f2198,f722,f432,f712,f717]) ).

fof(f717,plain,
    ( spl0_101
  <=> c2_1(a430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f712,plain,
    ( spl0_100
  <=> c3_1(a430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f432,plain,
    ( spl0_48
  <=> ! [X47] :
        ( ~ c2_1(X47)
        | c3_1(X47)
        | ~ c0_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f722,plain,
    ( spl0_102
  <=> c0_1(a430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f2198,plain,
    ( c3_1(a430)
    | ~ c2_1(a430)
    | ~ spl0_48
    | ~ spl0_102 ),
    inference(resolution,[],[f433,f724]) ).

fof(f724,plain,
    ( c0_1(a430)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f722]) ).

fof(f433,plain,
    ( ! [X47] :
        ( ~ c0_1(X47)
        | c3_1(X47)
        | ~ c2_1(X47) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f2206,plain,
    ( ~ spl0_152
    | spl0_142
    | ~ spl0_48
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f2195,f946,f432,f936,f1029]) ).

fof(f1029,plain,
    ( spl0_152
  <=> c2_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f936,plain,
    ( spl0_142
  <=> c3_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f946,plain,
    ( spl0_144
  <=> c0_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f2195,plain,
    ( c3_1(a401)
    | ~ c2_1(a401)
    | ~ spl0_48
    | ~ spl0_144 ),
    inference(resolution,[],[f433,f948]) ).

fof(f948,plain,
    ( c0_1(a401)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f2181,plain,
    ( ~ spl0_134
    | spl0_133
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f2172,f898,f346,f888,f893]) ).

fof(f893,plain,
    ( spl0_134
  <=> c3_1(a404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f888,plain,
    ( spl0_133
  <=> c2_1(a404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f346,plain,
    ( spl0_29
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | c2_1(X9)
        | ~ c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f898,plain,
    ( spl0_135
  <=> c0_1(a404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f2172,plain,
    ( c2_1(a404)
    | ~ c3_1(a404)
    | ~ spl0_29
    | ~ spl0_135 ),
    inference(resolution,[],[f347,f900]) ).

fof(f900,plain,
    ( c0_1(a404)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f898]) ).

fof(f347,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f346]) ).

fof(f2148,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_37
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f2053,f1376,f383,f845,f840]) ).

fof(f840,plain,
    ( spl0_124
  <=> c3_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f845,plain,
    ( spl0_125
  <=> c1_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f383,plain,
    ( spl0_37
  <=> ! [X24] :
        ( ~ c2_1(X24)
        | c1_1(X24)
        | c3_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1376,plain,
    ( spl0_166
  <=> c2_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f2053,plain,
    ( c1_1(a410)
    | c3_1(a410)
    | ~ spl0_37
    | ~ spl0_166 ),
    inference(resolution,[],[f1377,f384]) ).

fof(f384,plain,
    ( ! [X24] :
        ( ~ c2_1(X24)
        | c1_1(X24)
        | c3_1(X24) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f1377,plain,
    ( c2_1(a410)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1376]) ).

fof(f2145,plain,
    ( spl0_97
    | spl0_98
    | ~ spl0_49
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f2139,f1262,f437,f701,f696]) ).

fof(f696,plain,
    ( spl0_97
  <=> c3_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f701,plain,
    ( spl0_98
  <=> c0_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f437,plain,
    ( spl0_49
  <=> ! [X53] :
        ( ~ c2_1(X53)
        | c0_1(X53)
        | c3_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1262,plain,
    ( spl0_164
  <=> c2_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f2139,plain,
    ( c0_1(a434)
    | c3_1(a434)
    | ~ spl0_49
    | ~ spl0_164 ),
    inference(resolution,[],[f438,f1264]) ).

fof(f1264,plain,
    ( c2_1(a434)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1262]) ).

fof(f438,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | c0_1(X53)
        | c3_1(X53) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f2144,plain,
    ( spl0_145
    | spl0_172
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f2129,f957,f437,f1700,f952]) ).

fof(f952,plain,
    ( spl0_145
  <=> c3_1(a400) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f1700,plain,
    ( spl0_172
  <=> c0_1(a400) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f957,plain,
    ( spl0_146
  <=> c2_1(a400) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f2129,plain,
    ( c0_1(a400)
    | c3_1(a400)
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(resolution,[],[f438,f959]) ).

fof(f959,plain,
    ( c2_1(a400)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f2008,plain,
    ( spl0_103
    | spl0_104
    | ~ spl0_57
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f2001,f738,f481,f733,f728]) ).

fof(f733,plain,
    ( spl0_104
  <=> c0_1(a428) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f481,plain,
    ( spl0_57
  <=> ! [X86] :
        ( ~ c2_1(X86)
        | c0_1(X86)
        | c1_1(X86) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f2001,plain,
    ( c0_1(a428)
    | c1_1(a428)
    | ~ spl0_57
    | ~ spl0_105 ),
    inference(resolution,[],[f482,f740]) ).

fof(f740,plain,
    ( c2_1(a428)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f738]) ).

fof(f482,plain,
    ( ! [X86] :
        ( ~ c2_1(X86)
        | c0_1(X86)
        | c1_1(X86) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1922,plain,
    ( spl0_77
    | spl0_162
    | ~ spl0_55
    | spl0_76 ),
    inference(avatar_split_clause,[],[f1896,f584,f470,f1231,f589]) ).

fof(f589,plain,
    ( spl0_77
  <=> c2_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1231,plain,
    ( spl0_162
  <=> c0_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f470,plain,
    ( spl0_55
  <=> ! [X76] :
        ( c3_1(X76)
        | c0_1(X76)
        | c2_1(X76) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f584,plain,
    ( spl0_76
  <=> c3_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f1896,plain,
    ( c0_1(a460)
    | c2_1(a460)
    | ~ spl0_55
    | spl0_76 ),
    inference(resolution,[],[f471,f586]) ).

fof(f586,plain,
    ( ~ c3_1(a460)
    | spl0_76 ),
    inference(avatar_component_clause,[],[f584]) ).

fof(f471,plain,
    ( ! [X76] :
        ( c3_1(X76)
        | c0_1(X76)
        | c2_1(X76) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f1855,plain,
    ( ~ spl0_132
    | ~ spl0_173
    | ~ spl0_40
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1830,f877,f396,f1748,f882]) ).

fof(f882,plain,
    ( spl0_132
  <=> c2_1(a408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1748,plain,
    ( spl0_173
  <=> c1_1(a408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f396,plain,
    ( spl0_40
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | ~ c1_1(X28)
        | ~ c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f877,plain,
    ( spl0_131
  <=> c3_1(a408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1830,plain,
    ( ~ c1_1(a408)
    | ~ c2_1(a408)
    | ~ spl0_40
    | ~ spl0_131 ),
    inference(resolution,[],[f397,f879]) ).

fof(f879,plain,
    ( c3_1(a408)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f397,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | ~ c1_1(X28)
        | ~ c2_1(X28) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1795,plain,
    ( ~ spl0_80
    | ~ spl0_167
    | ~ spl0_13
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1786,f610,f278,f1410,f605]) ).

fof(f605,plain,
    ( spl0_80
  <=> c2_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1410,plain,
    ( spl0_167
  <=> c3_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f278,plain,
    ( spl0_13
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c0_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f610,plain,
    ( spl0_81
  <=> c0_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1786,plain,
    ( ~ c3_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_13
    | ~ spl0_81 ),
    inference(resolution,[],[f279,f612]) ).

fof(f612,plain,
    ( c0_1(a451)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f279,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | ~ c3_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f278]) ).

fof(f1752,plain,
    ( spl0_173
    | spl0_130
    | ~ spl0_56
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1745,f877,f474,f872,f1748]) ).

fof(f872,plain,
    ( spl0_130
  <=> c0_1(a408) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f474,plain,
    ( spl0_56
  <=> ! [X78] :
        ( ~ c3_1(X78)
        | c0_1(X78)
        | c1_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1745,plain,
    ( c0_1(a408)
    | c1_1(a408)
    | ~ spl0_56
    | ~ spl0_131 ),
    inference(resolution,[],[f879,f475]) ).

fof(f475,plain,
    ( ! [X78] :
        ( ~ c3_1(X78)
        | c0_1(X78)
        | c1_1(X78) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f474]) ).

fof(f1722,plain,
    ( ~ spl0_65
    | ~ spl0_64
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1665,f530,f299,f520,f525]) ).

fof(f525,plain,
    ( spl0_65
  <=> c1_1(a412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f520,plain,
    ( spl0_64
  <=> c2_1(a412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f299,plain,
    ( spl0_18
  <=> ! [X2] :
        ( ~ c2_1(X2)
        | ~ c0_1(X2)
        | ~ c1_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f530,plain,
    ( spl0_66
  <=> c0_1(a412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1665,plain,
    ( ~ c2_1(a412)
    | ~ c1_1(a412)
    | ~ spl0_18
    | ~ spl0_66 ),
    inference(resolution,[],[f300,f532]) ).

fof(f532,plain,
    ( c0_1(a412)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f300,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c2_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f299]) ).

fof(f1721,plain,
    ( ~ spl0_147
    | spl0_145
    | ~ spl0_23
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1718,f1700,f319,f952,f962]) ).

fof(f962,plain,
    ( spl0_147
  <=> c1_1(a400) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f319,plain,
    ( spl0_23
  <=> ! [X4] :
        ( ~ c1_1(X4)
        | c3_1(X4)
        | ~ c0_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1718,plain,
    ( c3_1(a400)
    | ~ c1_1(a400)
    | ~ spl0_23
    | ~ spl0_172 ),
    inference(resolution,[],[f1702,f320]) ).

fof(f320,plain,
    ( ! [X4] :
        ( ~ c0_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f319]) ).

fof(f1702,plain,
    ( c0_1(a400)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1700]) ).

fof(f1719,plain,
    ( ~ spl0_147
    | ~ spl0_146
    | ~ spl0_18
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1714,f1700,f299,f957,f962]) ).

fof(f1714,plain,
    ( ~ c2_1(a400)
    | ~ c1_1(a400)
    | ~ spl0_18
    | ~ spl0_172 ),
    inference(resolution,[],[f1702,f300]) ).

fof(f1705,plain,
    ( ~ spl0_99
    | spl0_98
    | ~ spl0_46
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1696,f1262,f424,f701,f706]) ).

fof(f706,plain,
    ( spl0_99
  <=> c1_1(a434) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f424,plain,
    ( spl0_46
  <=> ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1696,plain,
    ( c0_1(a434)
    | ~ c1_1(a434)
    | ~ spl0_46
    | ~ spl0_164 ),
    inference(resolution,[],[f425,f1264]) ).

fof(f425,plain,
    ( ! [X46] :
        ( ~ c2_1(X46)
        | c0_1(X46)
        | ~ c1_1(X46) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f424]) ).

fof(f1703,plain,
    ( ~ spl0_147
    | spl0_172
    | ~ spl0_46
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1692,f957,f424,f1700,f962]) ).

fof(f1692,plain,
    ( c0_1(a400)
    | ~ c1_1(a400)
    | ~ spl0_46
    | ~ spl0_146 ),
    inference(resolution,[],[f425,f959]) ).

fof(f1686,plain,
    ( ~ spl0_150
    | spl0_74
    | ~ spl0_45
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1679,f578,f418,f573,f987]) ).

fof(f987,plain,
    ( spl0_150
  <=> c1_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f573,plain,
    ( spl0_74
  <=> c0_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f418,plain,
    ( spl0_45
  <=> ! [X42] :
        ( ~ c3_1(X42)
        | c0_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f578,plain,
    ( spl0_75
  <=> c3_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1679,plain,
    ( c0_1(a477)
    | ~ c1_1(a477)
    | ~ spl0_45
    | ~ spl0_75 ),
    inference(resolution,[],[f419,f580]) ).

fof(f580,plain,
    ( c3_1(a477)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f419,plain,
    ( ! [X42] :
        ( ~ c3_1(X42)
        | c0_1(X42)
        | ~ c1_1(X42) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f418]) ).

fof(f1644,plain,
    ( ~ spl0_105
    | spl0_104
    | ~ spl0_44
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1642,f1636,f414,f733,f738]) ).

fof(f414,plain,
    ( spl0_44
  <=> ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | ~ c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f1642,plain,
    ( c0_1(a428)
    | ~ c2_1(a428)
    | ~ spl0_44
    | ~ spl0_171 ),
    inference(resolution,[],[f1638,f415]) ).

fof(f415,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | ~ c2_1(X41) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f414]) ).

fof(f1640,plain,
    ( spl0_167
    | spl0_79
    | ~ spl0_37
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f1632,f605,f383,f600,f1410]) ).

fof(f600,plain,
    ( spl0_79
  <=> c1_1(a451) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1632,plain,
    ( c1_1(a451)
    | c3_1(a451)
    | ~ spl0_37
    | ~ spl0_80 ),
    inference(resolution,[],[f384,f607]) ).

fof(f607,plain,
    ( c2_1(a451)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f605]) ).

fof(f1639,plain,
    ( spl0_171
    | spl0_103
    | ~ spl0_37
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1629,f738,f383,f728,f1636]) ).

fof(f1629,plain,
    ( c1_1(a428)
    | c3_1(a428)
    | ~ spl0_37
    | ~ spl0_105 ),
    inference(resolution,[],[f384,f740]) ).

fof(f1611,plain,
    ( spl0_150
    | spl0_74
    | ~ spl0_56
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1609,f578,f474,f573,f987]) ).

fof(f1609,plain,
    ( c0_1(a477)
    | c1_1(a477)
    | ~ spl0_56
    | ~ spl0_75 ),
    inference(resolution,[],[f580,f475]) ).

fof(f1606,plain,
    ( spl0_118
    | spl0_119
    | ~ spl0_56
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1596,f818,f474,f813,f808]) ).

fof(f808,plain,
    ( spl0_118
  <=> c1_1(a416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f813,plain,
    ( spl0_119
  <=> c0_1(a416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f818,plain,
    ( spl0_120
  <=> c3_1(a416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1596,plain,
    ( c0_1(a416)
    | c1_1(a416)
    | ~ spl0_56
    | ~ spl0_120 ),
    inference(resolution,[],[f475,f820]) ).

fof(f820,plain,
    ( c3_1(a416)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f818]) ).

fof(f1582,plain,
    ( spl0_137
    | spl0_138
    | ~ spl0_55
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1571,f904,f470,f914,f909]) ).

fof(f909,plain,
    ( spl0_137
  <=> c2_1(a403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f914,plain,
    ( spl0_138
  <=> c0_1(a403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f904,plain,
    ( spl0_136
  <=> c3_1(a403) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1571,plain,
    ( c0_1(a403)
    | c2_1(a403)
    | ~ spl0_55
    | spl0_136 ),
    inference(resolution,[],[f471,f906]) ).

fof(f906,plain,
    ( ~ c3_1(a403)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f1557,plain,
    ( ~ spl0_122
    | spl0_121
    | ~ spl0_35
    | ~ spl0_168 ),
    inference(avatar_split_clause,[],[f1555,f1548,f374,f824,f829]) ).

fof(f374,plain,
    ( spl0_35
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1548,plain,
    ( spl0_168
  <=> c0_1(a415) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1555,plain,
    ( c1_1(a415)
    | ~ c3_1(a415)
    | ~ spl0_35
    | ~ spl0_168 ),
    inference(resolution,[],[f1550,f375]) ).

fof(f375,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f374]) ).

fof(f1550,plain,
    ( c0_1(a415)
    | ~ spl0_168 ),
    inference(avatar_component_clause,[],[f1548]) ).

fof(f1551,plain,
    ( ~ spl0_123
    | spl0_168
    | ~ spl0_44
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1546,f829,f414,f1548,f834]) ).

fof(f1546,plain,
    ( c0_1(a415)
    | ~ c2_1(a415)
    | ~ spl0_44
    | ~ spl0_122 ),
    inference(resolution,[],[f831,f415]) ).

fof(f1538,plain,
    ( ~ spl0_165
    | spl0_88
    | ~ spl0_44
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1528,f653,f414,f648,f1318]) ).

fof(f1318,plain,
    ( spl0_165
  <=> c2_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f648,plain,
    ( spl0_88
  <=> c0_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f653,plain,
    ( spl0_89
  <=> c3_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1528,plain,
    ( c0_1(a445)
    | ~ c2_1(a445)
    | ~ spl0_44
    | ~ spl0_89 ),
    inference(resolution,[],[f415,f655]) ).

fof(f655,plain,
    ( c3_1(a445)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f653]) ).

fof(f1534,plain,
    ( ~ spl0_158
    | spl0_119
    | ~ spl0_44
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1523,f818,f414,f813,f1145]) ).

fof(f1145,plain,
    ( spl0_158
  <=> c2_1(a416) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1523,plain,
    ( c0_1(a416)
    | ~ c2_1(a416)
    | ~ spl0_44
    | ~ spl0_120 ),
    inference(resolution,[],[f415,f820]) ).

fof(f1492,plain,
    ( spl0_166
    | spl0_125
    | ~ spl0_43
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1468,f850,f410,f845,f1376]) ).

fof(f410,plain,
    ( spl0_43
  <=> ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f850,plain,
    ( spl0_126
  <=> c0_1(a410) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1468,plain,
    ( c1_1(a410)
    | c2_1(a410)
    | ~ spl0_43
    | ~ spl0_126 ),
    inference(resolution,[],[f411,f852]) ).

fof(f852,plain,
    ( c0_1(a410)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f411,plain,
    ( ! [X39] :
        ( ~ c0_1(X39)
        | c1_1(X39)
        | c2_1(X39) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1491,plain,
    ( ~ spl0_125
    | spl0_124
    | ~ spl0_23
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1374,f850,f319,f840,f845]) ).

fof(f1374,plain,
    ( c3_1(a410)
    | ~ c1_1(a410)
    | ~ spl0_23
    | ~ spl0_126 ),
    inference(resolution,[],[f852,f320]) ).

fof(f1490,plain,
    ( spl0_97
    | spl0_164
    | ~ spl0_33
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1387,f706,f363,f1262,f696]) ).

fof(f363,plain,
    ( spl0_33
  <=> ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | c3_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1387,plain,
    ( c2_1(a434)
    | c3_1(a434)
    | ~ spl0_33
    | ~ spl0_99 ),
    inference(resolution,[],[f364,f708]) ).

fof(f708,plain,
    ( c1_1(a434)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f706]) ).

fof(f364,plain,
    ( ! [X12] :
        ( ~ c1_1(X12)
        | c2_1(X12)
        | c3_1(X12) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f363]) ).

fof(f1488,plain,
    ( ~ spl0_108
    | spl0_106
    | ~ spl0_46
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1482,f749,f424,f744,f754]) ).

fof(f754,plain,
    ( spl0_108
  <=> c1_1(a427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f744,plain,
    ( spl0_106
  <=> c0_1(a427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f749,plain,
    ( spl0_107
  <=> c2_1(a427) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1482,plain,
    ( c0_1(a427)
    | ~ c1_1(a427)
    | ~ spl0_46
    | ~ spl0_107 ),
    inference(resolution,[],[f425,f751]) ).

fof(f751,plain,
    ( c2_1(a427)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f749]) ).

fof(f1449,plain,
    ( spl0_139
    | spl0_140
    | ~ spl0_43
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1439,f930,f410,f925,f920]) ).

fof(f920,plain,
    ( spl0_139
  <=> c2_1(a402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f925,plain,
    ( spl0_140
  <=> c1_1(a402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f930,plain,
    ( spl0_141
  <=> c0_1(a402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1439,plain,
    ( c1_1(a402)
    | c2_1(a402)
    | ~ spl0_43
    | ~ spl0_141 ),
    inference(resolution,[],[f411,f932]) ).

fof(f932,plain,
    ( c0_1(a402)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f1426,plain,
    ( ~ spl0_80
    | spl0_79
    | ~ spl0_36
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1421,f610,f379,f600,f605]) ).

fof(f379,plain,
    ( spl0_36
  <=> ! [X22] :
        ( ~ c2_1(X22)
        | c1_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1421,plain,
    ( c1_1(a451)
    | ~ c2_1(a451)
    | ~ spl0_36
    | ~ spl0_81 ),
    inference(resolution,[],[f380,f612]) ).

fof(f380,plain,
    ( ! [X22] :
        ( ~ c0_1(X22)
        | c1_1(X22)
        | ~ c2_1(X22) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1425,plain,
    ( ~ spl0_166
    | spl0_125
    | ~ spl0_36
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1417,f850,f379,f845,f1376]) ).

fof(f1417,plain,
    ( c1_1(a410)
    | ~ c2_1(a410)
    | ~ spl0_36
    | ~ spl0_126 ),
    inference(resolution,[],[f380,f852]) ).

fof(f1413,plain,
    ( ~ spl0_167
    | spl0_79
    | ~ spl0_35
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1407,f610,f374,f600,f1410]) ).

fof(f1407,plain,
    ( c1_1(a451)
    | ~ c3_1(a451)
    | ~ spl0_35
    | ~ spl0_81 ),
    inference(resolution,[],[f612,f375]) ).

fof(f1405,plain,
    ( spl0_157
    | spl0_139
    | ~ spl0_34
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1193,f930,f369,f920,f1117]) ).

fof(f1117,plain,
    ( spl0_157
  <=> c3_1(a402) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f369,plain,
    ( spl0_34
  <=> ! [X16] :
        ( ~ c0_1(X16)
        | c2_1(X16)
        | c3_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f1193,plain,
    ( c2_1(a402)
    | c3_1(a402)
    | ~ spl0_34
    | ~ spl0_141 ),
    inference(resolution,[],[f370,f932]) ).

fof(f370,plain,
    ( ! [X16] :
        ( ~ c0_1(X16)
        | c2_1(X16)
        | c3_1(X16) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f369]) ).

fof(f1403,plain,
    ( ~ spl0_157
    | spl0_140
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1393,f930,f374,f925,f1117]) ).

fof(f1393,plain,
    ( c1_1(a402)
    | ~ c3_1(a402)
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(resolution,[],[f375,f932]) ).

fof(f1380,plain,
    ( spl0_124
    | spl0_166
    | ~ spl0_34
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1373,f850,f369,f1376,f840]) ).

fof(f1373,plain,
    ( c2_1(a410)
    | c3_1(a410)
    | ~ spl0_34
    | ~ spl0_126 ),
    inference(resolution,[],[f852,f370]) ).

fof(f1370,plain,
    ( ~ spl0_86
    | spl0_85
    | ~ spl0_29
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1364,f1246,f346,f632,f637]) ).

fof(f637,plain,
    ( spl0_86
  <=> c3_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f632,plain,
    ( spl0_85
  <=> c2_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1246,plain,
    ( spl0_163
  <=> c0_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1364,plain,
    ( c2_1(a449)
    | ~ c3_1(a449)
    | ~ spl0_29
    | ~ spl0_163 ),
    inference(resolution,[],[f347,f1248]) ).

fof(f1248,plain,
    ( c0_1(a449)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f1367,plain,
    ( ~ spl0_157
    | spl0_139
    | ~ spl0_29
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1359,f930,f346,f920,f1117]) ).

fof(f1359,plain,
    ( c2_1(a402)
    | ~ c3_1(a402)
    | ~ spl0_29
    | ~ spl0_141 ),
    inference(resolution,[],[f347,f932]) ).

fof(f1328,plain,
    ( ~ spl0_87
    | spl0_85
    | ~ spl0_31
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1326,f1246,f355,f632,f642]) ).

fof(f642,plain,
    ( spl0_87
  <=> c1_1(a449) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f355,plain,
    ( spl0_31
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1326,plain,
    ( c2_1(a449)
    | ~ c1_1(a449)
    | ~ spl0_31
    | ~ spl0_163 ),
    inference(resolution,[],[f1248,f356]) ).

fof(f356,plain,
    ( ! [X11] :
        ( ~ c0_1(X11)
        | c2_1(X11)
        | ~ c1_1(X11) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f1321,plain,
    ( spl0_165
    | spl0_88
    | ~ spl0_54
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1316,f658,f464,f648,f1318]) ).

fof(f464,plain,
    ( spl0_54
  <=> ! [X70] :
        ( ~ c1_1(X70)
        | c0_1(X70)
        | c2_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f658,plain,
    ( spl0_90
  <=> c1_1(a445) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1316,plain,
    ( c0_1(a445)
    | c2_1(a445)
    | ~ spl0_54
    | ~ spl0_90 ),
    inference(resolution,[],[f660,f465]) ).

fof(f465,plain,
    ( ! [X70] :
        ( ~ c1_1(X70)
        | c0_1(X70)
        | c2_1(X70) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f464]) ).

fof(f660,plain,
    ( c1_1(a445)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1315,plain,
    ( ~ spl0_155
    | spl0_133
    | ~ spl0_31
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1101,f898,f355,f888,f1069]) ).

fof(f1069,plain,
    ( spl0_155
  <=> c1_1(a404) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1101,plain,
    ( c2_1(a404)
    | ~ c1_1(a404)
    | ~ spl0_31
    | ~ spl0_135 ),
    inference(resolution,[],[f356,f900]) ).

fof(f1314,plain,
    ( ~ spl0_90
    | spl0_88
    | ~ spl0_45
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1313,f653,f418,f648,f658]) ).

fof(f1313,plain,
    ( c0_1(a445)
    | ~ c1_1(a445)
    | ~ spl0_45
    | ~ spl0_89 ),
    inference(resolution,[],[f655,f419]) ).

fof(f1294,plain,
    ( ~ spl0_87
    | spl0_163
    | ~ spl0_45
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1166,f637,f418,f1246,f642]) ).

fof(f1166,plain,
    ( c0_1(a449)
    | ~ c1_1(a449)
    | ~ spl0_45
    | ~ spl0_86 ),
    inference(resolution,[],[f419,f639]) ).

fof(f639,plain,
    ( c3_1(a449)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f1293,plain,
    ( ~ spl0_78
    | spl0_76
    | ~ spl0_23
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1289,f1231,f319,f584,f594]) ).

fof(f594,plain,
    ( spl0_78
  <=> c1_1(a460) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1289,plain,
    ( c3_1(a460)
    | ~ c1_1(a460)
    | ~ spl0_23
    | ~ spl0_162 ),
    inference(resolution,[],[f1233,f320]) ).

fof(f1233,plain,
    ( c0_1(a460)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1231]) ).

fof(f1260,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_54
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1254,f802,f464,f797,f792]) ).

fof(f792,plain,
    ( spl0_115
  <=> c2_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f797,plain,
    ( spl0_116
  <=> c0_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f802,plain,
    ( spl0_117
  <=> c1_1(a418) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1254,plain,
    ( c0_1(a418)
    | c2_1(a418)
    | ~ spl0_54
    | ~ spl0_117 ),
    inference(resolution,[],[f465,f804]) ).

fof(f804,plain,
    ( c1_1(a418)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f802]) ).

fof(f1249,plain,
    ( spl0_85
    | spl0_163
    | ~ spl0_52
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f1241,f637,f453,f1246,f632]) ).

fof(f453,plain,
    ( spl0_52
  <=> ! [X64] :
        ( ~ c3_1(X64)
        | c0_1(X64)
        | c2_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1241,plain,
    ( c0_1(a449)
    | c2_1(a449)
    | ~ spl0_52
    | ~ spl0_86 ),
    inference(resolution,[],[f454,f639]) ).

fof(f454,plain,
    ( ! [X64] :
        ( ~ c3_1(X64)
        | c0_1(X64)
        | c2_1(X64) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f453]) ).

fof(f1229,plain,
    ( spl0_97
    | spl0_98
    | ~ spl0_51
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1214,f706,f449,f701,f696]) ).

fof(f449,plain,
    ( spl0_51
  <=> ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c3_1(X63) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1214,plain,
    ( c0_1(a434)
    | c3_1(a434)
    | ~ spl0_51
    | ~ spl0_99 ),
    inference(resolution,[],[f450,f708]) ).

fof(f450,plain,
    ( ! [X63] :
        ( ~ c1_1(X63)
        | c0_1(X63)
        | c3_1(X63) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f449]) ).

fof(f1176,plain,
    ( spl0_127
    | spl0_128
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f1173,f866,f437,f861,f856]) ).

fof(f856,plain,
    ( spl0_127
  <=> c3_1(a409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f861,plain,
    ( spl0_128
  <=> c0_1(a409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f866,plain,
    ( spl0_129
  <=> c2_1(a409) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f1173,plain,
    ( c0_1(a409)
    | c3_1(a409)
    | ~ spl0_49
    | ~ spl0_129 ),
    inference(resolution,[],[f438,f868]) ).

fof(f868,plain,
    ( c2_1(a409)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1160,plain,
    ( ~ spl0_158
    | spl0_118
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1155,f818,f405,f808,f1145]) ).

fof(f1155,plain,
    ( c1_1(a416)
    | ~ c2_1(a416)
    | ~ spl0_42
    | ~ spl0_120 ),
    inference(resolution,[],[f406,f820]) ).

fof(f1148,plain,
    ( spl0_158
    | spl0_118
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1137,f818,f400,f808,f1145]) ).

fof(f400,plain,
    ( spl0_41
  <=> ! [X30] :
        ( ~ c3_1(X30)
        | c1_1(X30)
        | c2_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1137,plain,
    ( c1_1(a416)
    | c2_1(a416)
    | ~ spl0_41
    | ~ spl0_120 ),
    inference(resolution,[],[f401,f820]) ).

fof(f401,plain,
    ( ! [X30] :
        ( ~ c3_1(X30)
        | c1_1(X30)
        | c2_1(X30) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f400]) ).

fof(f1121,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_38
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1110,f850,f388,f845,f840]) ).

fof(f388,plain,
    ( spl0_38
  <=> ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1110,plain,
    ( c1_1(a410)
    | c3_1(a410)
    | ~ spl0_38
    | ~ spl0_126 ),
    inference(resolution,[],[f389,f852]) ).

fof(f389,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f1120,plain,
    ( spl0_157
    | spl0_140
    | ~ spl0_38
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1108,f930,f388,f925,f1117]) ).

fof(f1108,plain,
    ( c1_1(a402)
    | c3_1(a402)
    | ~ spl0_38
    | ~ spl0_141 ),
    inference(resolution,[],[f389,f932]) ).

fof(f1078,plain,
    ( ~ spl0_110
    | spl0_109
    | ~ spl0_25
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1077,f1041,f329,f760,f765]) ).

fof(f765,plain,
    ( spl0_110
  <=> c1_1(a426) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f760,plain,
    ( spl0_109
  <=> c2_1(a426) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f329,plain,
    ( spl0_25
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f1041,plain,
    ( spl0_153
  <=> c3_1(a426) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1077,plain,
    ( c2_1(a426)
    | ~ c1_1(a426)
    | ~ spl0_25
    | ~ spl0_153 ),
    inference(resolution,[],[f1043,f330]) ).

fof(f330,plain,
    ( ! [X7] :
        ( ~ c3_1(X7)
        | c2_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f329]) ).

fof(f1043,plain,
    ( c3_1(a426)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1041]) ).

fof(f1076,plain,
    ( ~ spl0_134
    | spl0_155
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1073,f898,f374,f1069,f893]) ).

fof(f1073,plain,
    ( c1_1(a404)
    | ~ c3_1(a404)
    | ~ spl0_35
    | ~ spl0_135 ),
    inference(resolution,[],[f900,f375]) ).

fof(f1063,plain,
    ( ~ spl0_65
    | spl0_154
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1060,f530,f319,f1055,f525]) ).

fof(f1055,plain,
    ( spl0_154
  <=> c3_1(a412) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1060,plain,
    ( c3_1(a412)
    | ~ c1_1(a412)
    | ~ spl0_23
    | ~ spl0_66 ),
    inference(resolution,[],[f532,f320]) ).

fof(f1062,plain,
    ( ~ spl0_64
    | ~ spl0_154
    | ~ spl0_13
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1061,f530,f278,f1055,f520]) ).

fof(f1061,plain,
    ( ~ c3_1(a412)
    | ~ c2_1(a412)
    | ~ spl0_13
    | ~ spl0_66 ),
    inference(resolution,[],[f532,f279]) ).

fof(f1052,plain,
    ( ~ spl0_110
    | spl0_153
    | ~ spl0_23
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1048,f770,f319,f1041,f765]) ).

fof(f770,plain,
    ( spl0_111
  <=> c0_1(a426) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1048,plain,
    ( c3_1(a426)
    | ~ c1_1(a426)
    | ~ spl0_23
    | ~ spl0_111 ),
    inference(resolution,[],[f772,f320]) ).

fof(f772,plain,
    ( c0_1(a426)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f770]) ).

fof(f1050,plain,
    ( ~ spl0_110
    | spl0_109
    | ~ spl0_31
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1046,f770,f355,f760,f765]) ).

fof(f1046,plain,
    ( c2_1(a426)
    | ~ c1_1(a426)
    | ~ spl0_31
    | ~ spl0_111 ),
    inference(resolution,[],[f772,f356]) ).

fof(f1038,plain,
    ( ~ spl0_143
    | spl0_142
    | ~ spl0_23
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1036,f946,f319,f936,f941]) ).

fof(f941,plain,
    ( spl0_143
  <=> c1_1(a401) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1036,plain,
    ( c3_1(a401)
    | ~ c1_1(a401)
    | ~ spl0_23
    | ~ spl0_144 ),
    inference(resolution,[],[f948,f320]) ).

fof(f1032,plain,
    ( spl0_142
    | spl0_152
    | ~ spl0_33
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1027,f941,f363,f1029,f936]) ).

fof(f1027,plain,
    ( c2_1(a401)
    | c3_1(a401)
    | ~ spl0_33
    | ~ spl0_143 ),
    inference(resolution,[],[f943,f364]) ).

fof(f943,plain,
    ( c1_1(a401)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f1026,plain,
    ( spl0_91
    | spl0_151
    | ~ spl0_38
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1023,f674,f388,f1002,f664]) ).

fof(f664,plain,
    ( spl0_91
  <=> c3_1(a440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1002,plain,
    ( spl0_151
  <=> c1_1(a440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f674,plain,
    ( spl0_93
  <=> c0_1(a440) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1023,plain,
    ( c1_1(a440)
    | c3_1(a440)
    | ~ spl0_38
    | ~ spl0_93 ),
    inference(resolution,[],[f389,f676]) ).

fof(f676,plain,
    ( c0_1(a440)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f1025,plain,
    ( spl0_100
    | spl0_149
    | ~ spl0_38
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1022,f722,f388,f978,f712]) ).

fof(f978,plain,
    ( spl0_149
  <=> c1_1(a430) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1022,plain,
    ( c1_1(a430)
    | c3_1(a430)
    | ~ spl0_38
    | ~ spl0_102 ),
    inference(resolution,[],[f389,f724]) ).

fof(f1019,plain,
    ( ~ spl0_149
    | spl0_100
    | ~ spl0_23
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f984,f722,f319,f712,f978]) ).

fof(f984,plain,
    ( c3_1(a430)
    | ~ c1_1(a430)
    | ~ spl0_23
    | ~ spl0_102 ),
    inference(resolution,[],[f320,f724]) ).

fof(f1018,plain,
    ( spl0_100
    | spl0_149
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f1017,f717,f383,f978,f712]) ).

fof(f1017,plain,
    ( c1_1(a430)
    | c3_1(a430)
    | ~ spl0_37
    | ~ spl0_101 ),
    inference(resolution,[],[f384,f719]) ).

fof(f719,plain,
    ( c2_1(a430)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f1005,plain,
    ( ~ spl0_151
    | spl0_91
    | ~ spl0_23
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f998,f674,f319,f664,f1002]) ).

fof(f998,plain,
    ( c3_1(a440)
    | ~ c1_1(a440)
    | ~ spl0_23
    | ~ spl0_93 ),
    inference(resolution,[],[f676,f320]) ).

fof(f996,plain,
    ( ~ spl0_87
    | spl0_85
    | ~ spl0_25
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f995,f637,f329,f632,f642]) ).

fof(f995,plain,
    ( c2_1(a449)
    | ~ c1_1(a449)
    | ~ spl0_25
    | ~ spl0_86 ),
    inference(resolution,[],[f639,f330]) ).

fof(f994,plain,
    ( spl0_76
    | spl0_77
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f993,f594,f363,f589,f584]) ).

fof(f993,plain,
    ( c2_1(a460)
    | c3_1(a460)
    | ~ spl0_33
    | ~ spl0_78 ),
    inference(resolution,[],[f364,f596]) ).

fof(f596,plain,
    ( c1_1(a460)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f981,plain,
    ( ~ spl0_149
    | ~ spl0_101
    | ~ spl0_18
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f975,f722,f299,f717,f978]) ).

fof(f975,plain,
    ( ~ c2_1(a430)
    | ~ c1_1(a430)
    | ~ spl0_18
    | ~ spl0_102 ),
    inference(resolution,[],[f300,f724]) ).

fof(f965,plain,
    ( ~ spl0_53
    | spl0_147 ),
    inference(avatar_split_clause,[],[f8,f962,f457]) ).

fof(f457,plain,
    ( spl0_53
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f8,plain,
    ( c1_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp17
      | hskp3
      | hskp8 )
    & ( hskp23
      | hskp20
      | hskp18 )
    & ( hskp3
      | hskp7
      | hskp15 )
    & ( hskp21
      | hskp24
      | hskp25 )
    & ( hskp9
      | hskp4
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp22
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp19
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp20
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp2
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp25
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp12
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp27
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp2
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp2
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp4
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp12
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp18
      | ! [X30] :
          ( ~ c3_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp2
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp16
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp15
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X50] :
          ( ~ c0_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X58] :
          ( ~ c0_1(X58)
          | c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp5
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp0
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c1_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp27
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp26
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X91] :
          ( ~ c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | c3_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c2_1(X98)
          | c3_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c1_1(X103)
          | ~ c0_1(X103)
          | c3_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a414)
        & c2_1(a414)
        & c0_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & c0_1(a412)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a407)
        & c2_1(a407)
        & c1_1(a407)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a405)
        & c1_1(a405)
        & c0_1(a405)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a477)
        & ~ c0_1(a477)
        & c3_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c1_1(a460)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a451)
        & c2_1(a451)
        & c0_1(a451)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a450)
        & ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a449)
        & c3_1(a449)
        & c1_1(a449)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a445)
        & c3_1(a445)
        & c1_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a440)
        & ~ c2_1(a440)
        & c0_1(a440)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a434)
        & ~ c0_1(a434)
        & c1_1(a434)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a430)
        & c2_1(a430)
        & c0_1(a430)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a428)
        & ~ c0_1(a428)
        & c2_1(a428)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a427)
        & c2_1(a427)
        & c1_1(a427)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a420)
        & ~ c1_1(a420)
        & ~ c0_1(a420)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a418)
        & ~ c0_1(a418)
        & c1_1(a418)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a416)
        & ~ c0_1(a416)
        & c3_1(a416)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a415)
        & c3_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a410)
        & ~ c1_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a409)
        & ~ c0_1(a409)
        & c2_1(a409)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a408)
        & c3_1(a408)
        & c2_1(a408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a404)
        & c3_1(a404)
        & c0_1(a404)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a403)
        & ~ c2_1(a403)
        & ~ c0_1(a403)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a402)
        & ~ c1_1(a402)
        & c0_1(a402)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a400)
        & c2_1(a400)
        & c1_1(a400)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp17
      | hskp3
      | hskp8 )
    & ( hskp23
      | hskp20
      | hskp18 )
    & ( hskp3
      | hskp7
      | hskp15 )
    & ( hskp21
      | hskp24
      | hskp25 )
    & ( hskp9
      | hskp4
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c0_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp22
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp19
      | ! [X2] :
          ( ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp12
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | c3_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp20
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp2
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp25
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp12
      | ! [X10] :
          ( ~ c3_1(X10)
          | ~ c0_1(X10)
          | c2_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp27
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp2
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp28
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c2_1(X14)
          | ~ c0_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp2
      | ! [X16] :
          ( ~ c0_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c1_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c0_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp4
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c2_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c2_1(X23)
          | ~ c0_1(X23)
          | ~ ndr1_0 )
      | ! [X24] :
          ( ~ c2_1(X24)
          | c3_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp12
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X28] :
          ( ~ c3_1(X28)
          | ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp18
      | ! [X30] :
          ( ~ c3_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp2
      | ! [X31] :
          ( ~ c3_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( ! [X32] :
          ( ~ c0_1(X32)
          | c3_1(X32)
          | c2_1(X32)
          | ~ ndr1_0 )
      | ! [X33] :
          ( ~ c3_1(X33)
          | ~ c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X35] :
          ( ~ c2_1(X35)
          | ~ c0_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( ! [X37] :
          ( ~ c2_1(X37)
          | ~ c1_1(X37)
          | ~ c0_1(X37)
          | ~ ndr1_0 )
      | ! [X38] :
          ( ~ c1_1(X38)
          | ~ c0_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X40] :
          ( ~ c1_1(X40)
          | ~ c0_1(X40)
          | c3_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp16
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp27
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c3_1(X44)
          | ~ c0_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp15
      | ! [X46] :
          ( ~ c2_1(X46)
          | ~ c1_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( ! [X47] :
          ( ~ c2_1(X47)
          | ~ c0_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c2_1(X49)
          | ~ c1_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X50] :
          ( ~ c0_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c2_1(X51)
          | ~ c1_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c2_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X54] :
          ( ~ c1_1(X54)
          | c3_1(X54)
          | c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c2_1(X55)
          | c3_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c1_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c2_1(X57)
          | c3_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X58] :
          ( ~ c0_1(X58)
          | c2_1(X58)
          | c1_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X62] :
          ( ~ c0_1(X62)
          | c3_1(X62)
          | c1_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp5
      | ! [X64] :
          ( ~ c3_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp0
      | ! [X65] :
          ( ~ c3_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c1_1(X66)
          | c2_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c3_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X68] :
          ( ~ c2_1(X68)
          | ~ c0_1(X68)
          | c1_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c3_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp8
      | ! [X70] :
          ( ~ c1_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c1_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c1_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c3_1(X74)
          | ~ c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c1_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp27
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X77] :
          ( ~ c1_1(X77)
          | ~ c0_1(X77)
          | c3_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c1_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c2_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X81] :
          ( ~ c2_1(X81)
          | c3_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c2_1(X84)
          | c3_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp26
      | ! [X86] :
          ( ~ c2_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X87] :
          ( ~ c2_1(X87)
          | c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( ! [X88] :
          ( ~ c3_1(X88)
          | ~ c0_1(X88)
          | c1_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c0_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X91] :
          ( ~ c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | c3_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X96] :
          ( ~ c2_1(X96)
          | ~ c1_1(X96)
          | c3_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c2_1(X98)
          | c3_1(X98)
          | c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X101] :
          ( c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c2_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c1_1(X103)
          | ~ c0_1(X103)
          | c3_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X105] :
          ( ~ c3_1(X105)
          | ~ c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a414)
        & c2_1(a414)
        & c0_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & c0_1(a412)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a407)
        & c2_1(a407)
        & c1_1(a407)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a405)
        & c1_1(a405)
        & c0_1(a405)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a477)
        & ~ c0_1(a477)
        & c3_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c1_1(a460)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a451)
        & c2_1(a451)
        & c0_1(a451)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a450)
        & ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a449)
        & c3_1(a449)
        & c1_1(a449)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a445)
        & c3_1(a445)
        & c1_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a440)
        & ~ c2_1(a440)
        & c0_1(a440)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a434)
        & ~ c0_1(a434)
        & c1_1(a434)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a430)
        & c2_1(a430)
        & c0_1(a430)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a428)
        & ~ c0_1(a428)
        & c2_1(a428)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a427)
        & c2_1(a427)
        & c1_1(a427)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a420)
        & ~ c1_1(a420)
        & ~ c0_1(a420)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a418)
        & ~ c0_1(a418)
        & c1_1(a418)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a416)
        & ~ c0_1(a416)
        & c3_1(a416)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a415)
        & c3_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a410)
        & ~ c1_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a409)
        & ~ c0_1(a409)
        & c2_1(a409)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a408)
        & c3_1(a408)
        & c2_1(a408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a404)
        & c3_1(a404)
        & c0_1(a404)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a403)
        & ~ c2_1(a403)
        & ~ c0_1(a403)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a402)
        & ~ c1_1(a402)
        & c0_1(a402)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a400)
        & c2_1(a400)
        & c1_1(a400)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp17
      | hskp3
      | hskp8 )
    & ( hskp23
      | hskp20
      | hskp18 )
    & ( hskp3
      | hskp7
      | hskp15 )
    & ( hskp21
      | hskp24
      | hskp25 )
    & ( hskp9
      | hskp4
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c0_1(X0) ) ) )
    & ( hskp11
      | hskp22
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp24
      | hskp19
      | ! [X2] :
          ( ndr1_0
         => ( ~ c2_1(X2)
            | ~ c1_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp12
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | c3_1(X3) ) ) )
    & ( hskp5
      | hskp20
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp20
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp5
      | hskp4
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp13
      | hskp2
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp28
      | hskp25
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | c2_1(X8) ) ) )
    & ( hskp16
      | hskp7
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp9
      | hskp12
      | ! [X10] :
          ( ndr1_0
         => ( ~ c3_1(X10)
            | ~ c0_1(X10)
            | c2_1(X10) ) ) )
    & ( hskp23
      | hskp27
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp7
      | hskp2
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp4
      | hskp28
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp20
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c2_1(X14)
            | ~ c0_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp11
      | hskp2
      | ! [X16] :
          ( ndr1_0
         => ( ~ c0_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp22
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c1_1(X17)
            | c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c0_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp21
      | hskp20
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp3
      | hskp4
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp3
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | ~ c0_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c2_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp19
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c2_1(X23)
            | ~ c0_1(X23) ) )
      | ! [X24] :
          ( ndr1_0
         => ( ~ c2_1(X24)
            | c3_1(X24)
            | c1_1(X24) ) ) )
    & ( ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp1
      | hskp12
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp9
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | ~ c2_1(X28)
            | ~ c1_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp3
      | hskp18
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | c2_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp17
      | hskp2
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c3_1(X32)
            | c2_1(X32) ) )
      | ! [X33] :
          ( ndr1_0
         => ( ~ c3_1(X33)
            | ~ c2_1(X33)
            | c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp4
      | ! [X35] :
          ( ndr1_0
         => ( ~ c2_1(X35)
            | ~ c0_1(X35)
            | c1_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) ) )
    & ( ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | ~ c1_1(X37)
            | ~ c0_1(X37) ) )
      | ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | ~ c0_1(X38)
            | c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp11
      | ! [X40] :
          ( ndr1_0
         => ( ~ c1_1(X40)
            | ~ c0_1(X40)
            | c3_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp3
      | hskp16
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp9
      | hskp27
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c0_1(X44)
            | c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp6
      | hskp15
      | ! [X46] :
          ( ndr1_0
         => ( ~ c2_1(X46)
            | ~ c1_1(X46)
            | c0_1(X46) ) ) )
    & ( ! [X47] :
          ( ndr1_0
         => ( ~ c2_1(X47)
            | ~ c0_1(X47)
            | c3_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c1_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c1_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp1
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c2_1(X51)
            | ~ c1_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp14
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c2_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp13
      | ! [X54] :
          ( ndr1_0
         => ( ~ c1_1(X54)
            | c3_1(X54)
            | c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | c3_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp12
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c1_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | c3_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp9
      | ! [X58] :
          ( ndr1_0
         => ( ~ c0_1(X58)
            | c2_1(X58)
            | c1_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp1
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp9
      | ! [X62] :
          ( ndr1_0
         => ( ~ c0_1(X62)
            | c3_1(X62)
            | c1_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp3
      | hskp5
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp11
      | hskp0
      | ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp10
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c1_1(X66)
            | c2_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c3_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp4
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | ~ c0_1(X68)
            | c1_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp9
      | hskp8
      | ! [X70] :
          ( ndr1_0
         => ( ~ c1_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp28
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c1_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c3_1(X74)
            | ~ c2_1(X74)
            | c0_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c1_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp0
      | hskp27
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp4
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | ~ c0_1(X77)
            | c3_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c1_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp7
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c3_1(X79)
            | c2_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c1_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp6
      | ! [X81] :
          ( ndr1_0
         => ( ~ c2_1(X81)
            | c3_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c2_1(X84)
            | c3_1(X84)
            | c0_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp5
      | hskp26
      | ! [X86] :
          ( ndr1_0
         => ( ~ c2_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp3
      | hskp25
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | c1_1(X87)
            | c0_1(X87) ) ) )
    & ( ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | ~ c0_1(X88)
            | c1_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c0_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp4
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c3_1(X93)
            | c2_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp3
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | ~ c1_1(X96)
            | c3_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( c3_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | c3_1(X98)
            | c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp2
      | hskp1
      | ! [X101] :
          ( ndr1_0
         => ( c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c2_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c1_1(X103)
            | ~ c0_1(X103)
            | c3_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp0
      | ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( ( c3_1(a414)
        & c2_1(a414)
        & c0_1(a414)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c2_1(a412)
        & c1_1(a412)
        & c0_1(a412)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( c3_1(a407)
        & c2_1(a407)
        & c1_1(a407)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( c3_1(a405)
        & c1_1(a405)
        & c0_1(a405)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a477)
        & ~ c0_1(a477)
        & c3_1(a477)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a460)
        & ~ c2_1(a460)
        & c1_1(a460)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a451)
        & c2_1(a451)
        & c0_1(a451)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a450)
        & ~ c1_1(a450)
        & ~ c0_1(a450)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a449)
        & c3_1(a449)
        & c1_1(a449)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a445)
        & c3_1(a445)
        & c1_1(a445)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a440)
        & ~ c2_1(a440)
        & c0_1(a440)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a439)
        & ~ c2_1(a439)
        & ~ c1_1(a439)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a434)
        & ~ c0_1(a434)
        & c1_1(a434)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a430)
        & c2_1(a430)
        & c0_1(a430)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c1_1(a428)
        & ~ c0_1(a428)
        & c2_1(a428)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a427)
        & c2_1(a427)
        & c1_1(a427)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c2_1(a426)
        & c1_1(a426)
        & c0_1(a426)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a420)
        & ~ c1_1(a420)
        & ~ c0_1(a420)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a418)
        & ~ c0_1(a418)
        & c1_1(a418)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a416)
        & ~ c0_1(a416)
        & c3_1(a416)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a415)
        & c3_1(a415)
        & c2_1(a415)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a410)
        & ~ c1_1(a410)
        & c0_1(a410)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a409)
        & ~ c0_1(a409)
        & c2_1(a409)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c0_1(a408)
        & c3_1(a408)
        & c2_1(a408)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c2_1(a404)
        & c3_1(a404)
        & c0_1(a404)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a403)
        & ~ c2_1(a403)
        & ~ c0_1(a403)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a402)
        & ~ c1_1(a402)
        & c0_1(a402)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a401)
        & c1_1(a401)
        & c0_1(a401)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c3_1(a400)
        & c2_1(a400)
        & c1_1(a400)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp17
          | hskp3
          | hskp8 )
        & ( hskp23
          | hskp20
          | hskp18 )
        & ( hskp3
          | hskp7
          | hskp15 )
        & ( hskp21
          | hskp24
          | hskp25 )
        & ( hskp9
          | hskp4
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c0_1(X0) ) ) )
        & ( hskp11
          | hskp22
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp24
          | hskp19
          | ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp12
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | c3_1(X3) ) ) )
        & ( hskp5
          | hskp20
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp20
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp5
          | hskp4
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp13
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp28
          | hskp25
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | c2_1(X8) ) ) )
        & ( hskp16
          | hskp7
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp9
          | hskp12
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c0_1(X10)
                | c2_1(X10) ) ) )
        & ( hskp23
          | hskp27
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp7
          | hskp2
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp4
          | hskp28
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp20
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | ~ c0_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp11
          | hskp2
          | ! [X16] :
              ( ndr1_0
             => ( ~ c0_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp22
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c1_1(X17)
                | c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp21
          | hskp20
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp3
          | hskp4
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp3
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp19
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c2_1(X23)
                | ~ c0_1(X23) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | c3_1(X24)
                | c1_1(X24) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp1
          | hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp9
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | ~ c2_1(X28)
                | ~ c1_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp3
          | hskp18
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp17
          | hskp2
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c3_1(X32)
                | c2_1(X32) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | ~ c2_1(X33)
                | c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp4
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c0_1(X35)
                | c1_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | ~ c0_1(X37) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | ~ c0_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp11
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | ~ c0_1(X40)
                | c3_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp3
          | hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp9
          | hskp27
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp6
          | hskp15
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c1_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp1
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c2_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | c3_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp12
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c1_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp9
          | ! [X58] :
              ( ndr1_0
             => ( ~ c0_1(X58)
                | c2_1(X58)
                | c1_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp1
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp9
          | ! [X62] :
              ( ndr1_0
             => ( ~ c0_1(X62)
                | c3_1(X62)
                | c1_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp3
          | hskp5
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp11
          | hskp0
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp10
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | c2_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp4
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp9
          | hskp8
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp28
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c0_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c1_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp0
          | hskp27
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp4
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | ~ c0_1(X77)
                | c3_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp7
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp6
          | ! [X81] :
              ( ndr1_0
             => ( ~ c2_1(X81)
                | c3_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c0_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp5
          | hskp26
          | ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp3
          | hskp25
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | c1_1(X87)
                | c0_1(X87) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp4
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp3
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c1_1(X96)
                | c3_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( c3_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp2
          | hskp1
          | ! [X101] :
              ( ndr1_0
             => ( c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | ~ c0_1(X103)
                | c3_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp0
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( ( c3_1(a414)
            & c2_1(a414)
            & c0_1(a414)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a412)
            & c1_1(a412)
            & c0_1(a412)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a407)
            & c2_1(a407)
            & c1_1(a407)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c3_1(a405)
            & c1_1(a405)
            & c0_1(a405)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a477)
            & ~ c0_1(a477)
            & c3_1(a477)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a460)
            & ~ c2_1(a460)
            & c1_1(a460)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a451)
            & c2_1(a451)
            & c0_1(a451)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a450)
            & ~ c1_1(a450)
            & ~ c0_1(a450)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a449)
            & c3_1(a449)
            & c1_1(a449)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a445)
            & c3_1(a445)
            & c1_1(a445)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a440)
            & ~ c2_1(a440)
            & c0_1(a440)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a439)
            & ~ c2_1(a439)
            & ~ c1_1(a439)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a434)
            & ~ c0_1(a434)
            & c1_1(a434)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a430)
            & c2_1(a430)
            & c0_1(a430)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a428)
            & ~ c0_1(a428)
            & c2_1(a428)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a427)
            & c2_1(a427)
            & c1_1(a427)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a426)
            & c1_1(a426)
            & c0_1(a426)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a420)
            & ~ c1_1(a420)
            & ~ c0_1(a420)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a418)
            & ~ c0_1(a418)
            & c1_1(a418)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a416)
            & ~ c0_1(a416)
            & c3_1(a416)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a415)
            & c3_1(a415)
            & c2_1(a415)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a410)
            & ~ c1_1(a410)
            & c0_1(a410)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a409)
            & ~ c0_1(a409)
            & c2_1(a409)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a408)
            & c3_1(a408)
            & c2_1(a408)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a404)
            & c3_1(a404)
            & c0_1(a404)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a403)
            & ~ c2_1(a403)
            & ~ c0_1(a403)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a402)
            & ~ c1_1(a402)
            & c0_1(a402)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a401)
            & c1_1(a401)
            & c0_1(a401)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a400)
            & c2_1(a400)
            & c1_1(a400)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp17
          | hskp3
          | hskp8 )
        & ( hskp23
          | hskp20
          | hskp18 )
        & ( hskp3
          | hskp7
          | hskp15 )
        & ( hskp21
          | hskp24
          | hskp25 )
        & ( hskp9
          | hskp4
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( hskp11
          | hskp22
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( hskp24
          | hskp19
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c1_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp10
          | hskp12
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | c3_1(X103) ) ) )
        & ( hskp5
          | hskp20
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( hskp20
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp5
          | hskp4
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( hskp13
          | hskp2
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c1_1(X99)
                | c2_1(X99) ) ) )
        & ( hskp28
          | hskp25
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c1_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp16
          | hskp7
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp9
          | hskp12
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp23
          | hskp27
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp7
          | hskp2
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp4
          | hskp28
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp20
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | ~ c2_1(X92)
                | ~ c0_1(X92) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp11
          | hskp2
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( hskp22
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | c2_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c2_1(X88) ) ) )
        & ( hskp21
          | hskp20
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp3
          | hskp4
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c0_1(X86)
                | c1_1(X86) ) ) )
        & ( hskp3
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp19
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( ! [X81] :
              ( ndr1_0
             => ( ~ c1_1(X81)
                | ~ c0_1(X81)
                | c3_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | c3_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp1
          | hskp12
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp9
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp3
          | hskp18
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp17
          | hskp2
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp4
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c0_1(X71)
                | c1_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c1_1(X69)
                | ~ c0_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c2_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | c1_1(X67) ) ) )
        & ( hskp11
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | ~ c0_1(X66)
                | c3_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp3
          | hskp16
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp9
          | hskp27
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp6
          | hskp15
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c0_1(X59)
                | c3_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp1
          | ! [X56] :
              ( ndr1_0
             => ( ~ c0_1(X56)
                | c3_1(X56)
                | c1_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp13
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | c3_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp12
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp9
          | ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp1
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp9
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp3
          | hskp5
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp11
          | hskp0
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp10
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp4
          | ! [X38] :
              ( ndr1_0
             => ( ~ c2_1(X38)
                | ~ c0_1(X38)
                | c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp9
          | hskp8
          | ! [X36] :
              ( ndr1_0
             => ( ~ c1_1(X36)
                | c2_1(X36)
                | c0_1(X36) ) ) )
        & ( hskp28
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c2_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp0
          | hskp27
          | ! [X30] :
              ( ndr1_0
             => ( c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp4
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | ~ c0_1(X29)
                | c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp7
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c1_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp6
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | c2_1(X23)
                | c1_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c2_1(X22)
                | c3_1(X22)
                | c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | c1_1(X21)
                | c0_1(X21) ) ) )
        & ( hskp5
          | hskp26
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp3
          | hskp25
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c1_1(X19)
                | c0_1(X19) ) ) )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c2_1(X17)
                | c1_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp4
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c2_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp3
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c3_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c1_1(X3)
                | ~ c0_1(X3)
                | c3_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a414)
            & c2_1(a414)
            & c0_1(a414)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c2_1(a412)
            & c1_1(a412)
            & c0_1(a412)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( c3_1(a407)
            & c2_1(a407)
            & c1_1(a407)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( c3_1(a405)
            & c1_1(a405)
            & c0_1(a405)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a477)
            & ~ c0_1(a477)
            & c3_1(a477)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a460)
            & ~ c2_1(a460)
            & c1_1(a460)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a451)
            & c2_1(a451)
            & c0_1(a451)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a450)
            & ~ c1_1(a450)
            & ~ c0_1(a450)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a449)
            & c3_1(a449)
            & c1_1(a449)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a445)
            & c3_1(a445)
            & c1_1(a445)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a440)
            & ~ c2_1(a440)
            & c0_1(a440)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a439)
            & ~ c2_1(a439)
            & ~ c1_1(a439)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a434)
            & ~ c0_1(a434)
            & c1_1(a434)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a430)
            & c2_1(a430)
            & c0_1(a430)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c1_1(a428)
            & ~ c0_1(a428)
            & c2_1(a428)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a427)
            & c2_1(a427)
            & c1_1(a427)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c2_1(a426)
            & c1_1(a426)
            & c0_1(a426)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a420)
            & ~ c1_1(a420)
            & ~ c0_1(a420)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a418)
            & ~ c0_1(a418)
            & c1_1(a418)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a416)
            & ~ c0_1(a416)
            & c3_1(a416)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a415)
            & c3_1(a415)
            & c2_1(a415)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a410)
            & ~ c1_1(a410)
            & c0_1(a410)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a409)
            & ~ c0_1(a409)
            & c2_1(a409)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c0_1(a408)
            & c3_1(a408)
            & c2_1(a408)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c2_1(a404)
            & c3_1(a404)
            & c0_1(a404)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a403)
            & ~ c2_1(a403)
            & ~ c0_1(a403)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a402)
            & ~ c1_1(a402)
            & c0_1(a402)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a401)
            & c1_1(a401)
            & c0_1(a401)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c3_1(a400)
            & c2_1(a400)
            & c1_1(a400)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp17
        | hskp3
        | hskp8 )
      & ( hskp23
        | hskp20
        | hskp18 )
      & ( hskp3
        | hskp7
        | hskp15 )
      & ( hskp21
        | hskp24
        | hskp25 )
      & ( hskp9
        | hskp4
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) ) )
      & ( hskp11
        | hskp22
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c0_1(X105) ) ) )
      & ( hskp24
        | hskp19
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c1_1(X104)
              | ~ c0_1(X104) ) ) )
      & ( hskp10
        | hskp12
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c1_1(X103)
              | c3_1(X103) ) ) )
      & ( hskp5
        | hskp20
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( hskp20
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp5
        | hskp4
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( hskp13
        | hskp2
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c1_1(X99)
              | c2_1(X99) ) ) )
      & ( hskp28
        | hskp25
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c1_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp16
        | hskp7
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp9
        | hskp12
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp23
        | hskp27
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp7
        | hskp2
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp4
        | hskp28
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp20
        | ! [X92] :
            ( ndr1_0
           => ( ~ c3_1(X92)
              | ~ c2_1(X92)
              | ~ c0_1(X92) ) )
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp11
        | hskp2
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( hskp22
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | c2_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c2_1(X88) ) ) )
      & ( hskp21
        | hskp20
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c0_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp3
        | hskp4
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c0_1(X86)
              | c1_1(X86) ) ) )
      & ( hskp3
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | ~ c0_1(X85) ) )
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp19
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c2_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( ! [X81] :
            ( ndr1_0
           => ( ~ c1_1(X81)
              | ~ c0_1(X81)
              | c3_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | c3_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp1
        | hskp12
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp9
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | ~ c1_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp3
        | hskp18
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp17
        | hskp2
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp4
        | ! [X71] :
            ( ndr1_0
           => ( ~ c2_1(X71)
              | ~ c0_1(X71)
              | c1_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c1_1(X69)
              | ~ c0_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c1_1(X68)
              | ~ c0_1(X68)
              | c2_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c2_1(X67)
              | c1_1(X67) ) ) )
      & ( hskp11
        | ! [X66] :
            ( ndr1_0
           => ( ~ c1_1(X66)
              | ~ c0_1(X66)
              | c3_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c2_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp3
        | hskp16
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | c0_1(X64) ) ) )
      & ( hskp9
        | hskp27
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c0_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp6
        | hskp15
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | ~ c0_1(X59)
              | c3_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp1
        | ! [X56] :
            ( ndr1_0
           => ( ~ c0_1(X56)
              | c3_1(X56)
              | c1_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | c0_1(X55) ) ) )
      & ( hskp14
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c2_1(X53)
              | c3_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp13
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | c3_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp12
        | ! [X50] :
            ( ndr1_0
           => ( ~ c2_1(X50)
              | c3_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp9
        | ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | c2_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp1
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp9
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp3
        | hskp5
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp11
        | hskp0
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp10
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp4
        | ! [X38] :
            ( ndr1_0
           => ( ~ c2_1(X38)
              | ~ c0_1(X38)
              | c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp9
        | hskp8
        | ! [X36] :
            ( ndr1_0
           => ( ~ c1_1(X36)
              | c2_1(X36)
              | c0_1(X36) ) ) )
      & ( hskp28
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c1_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c1_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c2_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp0
        | hskp27
        | ! [X30] :
            ( ndr1_0
           => ( c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp4
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | ~ c0_1(X29)
              | c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp7
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c2_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c1_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp6
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c3_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( ! [X23] :
            ( ndr1_0
           => ( ~ c3_1(X23)
              | c2_1(X23)
              | c1_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c2_1(X22)
              | c3_1(X22)
              | c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | c1_1(X21)
              | c0_1(X21) ) ) )
      & ( hskp5
        | hskp26
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp3
        | hskp25
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c1_1(X19)
              | c0_1(X19) ) ) )
      & ( ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | ~ c0_1(X18)
              | c1_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | c2_1(X17)
              | c1_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp4
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c2_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c1_1(X13)
              | c3_1(X13)
              | c2_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp3
        | ! [X10] :
            ( ndr1_0
           => ( ~ c2_1(X10)
              | ~ c1_1(X10)
              | c3_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c3_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c1_1(X3)
              | ~ c0_1(X3)
              | c3_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | ~ c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a414)
          & c2_1(a414)
          & c0_1(a414)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c2_1(a412)
          & c1_1(a412)
          & c0_1(a412)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( c3_1(a407)
          & c2_1(a407)
          & c1_1(a407)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( c3_1(a405)
          & c1_1(a405)
          & c0_1(a405)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a477)
          & ~ c0_1(a477)
          & c3_1(a477)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a460)
          & ~ c2_1(a460)
          & c1_1(a460)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a451)
          & c2_1(a451)
          & c0_1(a451)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a450)
          & ~ c1_1(a450)
          & ~ c0_1(a450)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a449)
          & c3_1(a449)
          & c1_1(a449)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a445)
          & c3_1(a445)
          & c1_1(a445)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a440)
          & ~ c2_1(a440)
          & c0_1(a440)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a439)
          & ~ c2_1(a439)
          & ~ c1_1(a439)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a434)
          & ~ c0_1(a434)
          & c1_1(a434)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a430)
          & c2_1(a430)
          & c0_1(a430)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c1_1(a428)
          & ~ c0_1(a428)
          & c2_1(a428)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a427)
          & c2_1(a427)
          & c1_1(a427)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c2_1(a426)
          & c1_1(a426)
          & c0_1(a426)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a420)
          & ~ c1_1(a420)
          & ~ c0_1(a420)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a418)
          & ~ c0_1(a418)
          & c1_1(a418)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a416)
          & ~ c0_1(a416)
          & c3_1(a416)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a415)
          & c3_1(a415)
          & c2_1(a415)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a410)
          & ~ c1_1(a410)
          & c0_1(a410)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a409)
          & ~ c0_1(a409)
          & c2_1(a409)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c0_1(a408)
          & c3_1(a408)
          & c2_1(a408)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c2_1(a404)
          & c3_1(a404)
          & c0_1(a404)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a403)
          & ~ c2_1(a403)
          & ~ c0_1(a403)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a402)
          & ~ c1_1(a402)
          & c0_1(a402)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a401)
          & c1_1(a401)
          & c0_1(a401)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c3_1(a400)
          & c2_1(a400)
          & c1_1(a400)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.WYGASs5rzN/Vampire---4.8_11376',co1) ).

fof(f960,plain,
    ( ~ spl0_53
    | spl0_146 ),
    inference(avatar_split_clause,[],[f9,f957,f457]) ).

fof(f9,plain,
    ( c2_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( ~ spl0_53
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f10,f952,f457]) ).

fof(f10,plain,
    ( ~ c3_1(a400)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_39
    | spl0_144 ),
    inference(avatar_split_clause,[],[f12,f946,f391]) ).

fof(f391,plain,
    ( spl0_39
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f12,plain,
    ( c0_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_39
    | spl0_143 ),
    inference(avatar_split_clause,[],[f13,f941,f391]) ).

fof(f13,plain,
    ( c1_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f939,plain,
    ( ~ spl0_39
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f14,f936,f391]) ).

fof(f14,plain,
    ( ~ c3_1(a401)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_26
    | spl0_141 ),
    inference(avatar_split_clause,[],[f16,f930,f332]) ).

fof(f332,plain,
    ( spl0_26
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f16,plain,
    ( c0_1(a402)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_26
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f17,f925,f332]) ).

fof(f17,plain,
    ( ~ c1_1(a402)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f923,plain,
    ( ~ spl0_26
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f18,f920,f332]) ).

fof(f18,plain,
    ( ~ c2_1(a402)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_2
    | spl0_12 ),
    inference(avatar_split_clause,[],[f19,f274,f230]) ).

fof(f230,plain,
    ( spl0_2
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f274,plain,
    ( spl0_12
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f19,plain,
    ( ndr1_0
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_2
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f20,f914,f230]) ).

fof(f20,plain,
    ( ~ c0_1(a403)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_2
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f21,f909,f230]) ).

fof(f21,plain,
    ( ~ c2_1(a403)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f907,plain,
    ( ~ spl0_2
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f22,f904,f230]) ).

fof(f22,plain,
    ( ~ c3_1(a403)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_14
    | spl0_135 ),
    inference(avatar_split_clause,[],[f24,f898,f281]) ).

fof(f281,plain,
    ( spl0_14
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f24,plain,
    ( c0_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_14
    | spl0_134 ),
    inference(avatar_split_clause,[],[f25,f893,f281]) ).

fof(f25,plain,
    ( c3_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f891,plain,
    ( ~ spl0_14
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f26,f888,f281]) ).

fof(f26,plain,
    ( ~ c2_1(a404)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_24
    | spl0_132 ),
    inference(avatar_split_clause,[],[f28,f882,f322]) ).

fof(f322,plain,
    ( spl0_24
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f28,plain,
    ( c2_1(a408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_24
    | spl0_131 ),
    inference(avatar_split_clause,[],[f29,f877,f322]) ).

fof(f29,plain,
    ( c3_1(a408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( ~ spl0_24
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f30,f872,f322]) ).

fof(f30,plain,
    ( ~ c0_1(a408)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_47
    | spl0_129 ),
    inference(avatar_split_clause,[],[f32,f866,f427]) ).

fof(f427,plain,
    ( spl0_47
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f32,plain,
    ( c2_1(a409)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_47
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f33,f861,f427]) ).

fof(f33,plain,
    ( ~ c0_1(a409)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( ~ spl0_47
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f34,f856,f427]) ).

fof(f34,plain,
    ( ~ c3_1(a409)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f854,plain,
    ( ~ spl0_8
    | spl0_12 ),
    inference(avatar_split_clause,[],[f35,f274,f256]) ).

fof(f256,plain,
    ( spl0_8
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f35,plain,
    ( ndr1_0
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_8
    | spl0_126 ),
    inference(avatar_split_clause,[],[f36,f850,f256]) ).

fof(f36,plain,
    ( c0_1(a410)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_8
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f37,f845,f256]) ).

fof(f37,plain,
    ( ~ c1_1(a410)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f843,plain,
    ( ~ spl0_8
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f38,f840,f256]) ).

fof(f38,plain,
    ( ~ c3_1(a410)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_1
    | spl0_123 ),
    inference(avatar_split_clause,[],[f40,f834,f226]) ).

fof(f226,plain,
    ( spl0_1
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f40,plain,
    ( c2_1(a415)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_1
    | spl0_122 ),
    inference(avatar_split_clause,[],[f41,f829,f226]) ).

fof(f41,plain,
    ( c3_1(a415)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_1
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f42,f824,f226]) ).

fof(f42,plain,
    ( ~ c1_1(a415)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_15
    | spl0_120 ),
    inference(avatar_split_clause,[],[f44,f818,f285]) ).

fof(f285,plain,
    ( spl0_15
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f44,plain,
    ( c3_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_15
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f45,f813,f285]) ).

fof(f45,plain,
    ( ~ c0_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f811,plain,
    ( ~ spl0_15
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f46,f808,f285]) ).

fof(f46,plain,
    ( ~ c1_1(a416)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_22
    | spl0_117 ),
    inference(avatar_split_clause,[],[f48,f802,f314]) ).

fof(f314,plain,
    ( spl0_22
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f48,plain,
    ( c1_1(a418)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f800,plain,
    ( ~ spl0_22
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f49,f797,f314]) ).

fof(f49,plain,
    ( ~ c0_1(a418)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( ~ spl0_22
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f50,f792,f314]) ).

fof(f50,plain,
    ( ~ c2_1(a418)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_21
    | spl0_111 ),
    inference(avatar_split_clause,[],[f56,f770,f310]) ).

fof(f310,plain,
    ( spl0_21
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f56,plain,
    ( c0_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f768,plain,
    ( ~ spl0_21
    | spl0_110 ),
    inference(avatar_split_clause,[],[f57,f765,f310]) ).

fof(f57,plain,
    ( c1_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( ~ spl0_21
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f58,f760,f310]) ).

fof(f58,plain,
    ( ~ c2_1(a426)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_27
    | spl0_108 ),
    inference(avatar_split_clause,[],[f60,f754,f336]) ).

fof(f336,plain,
    ( spl0_27
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f60,plain,
    ( c1_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f752,plain,
    ( ~ spl0_27
    | spl0_107 ),
    inference(avatar_split_clause,[],[f61,f749,f336]) ).

fof(f61,plain,
    ( c2_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f747,plain,
    ( ~ spl0_27
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f62,f744,f336]) ).

fof(f62,plain,
    ( ~ c0_1(a427)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f741,plain,
    ( ~ spl0_50
    | spl0_105 ),
    inference(avatar_split_clause,[],[f64,f738,f440]) ).

fof(f440,plain,
    ( spl0_50
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f64,plain,
    ( c2_1(a428)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f736,plain,
    ( ~ spl0_50
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f65,f733,f440]) ).

fof(f65,plain,
    ( ~ c0_1(a428)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f731,plain,
    ( ~ spl0_50
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f66,f728,f440]) ).

fof(f66,plain,
    ( ~ c1_1(a428)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f726,plain,
    ( ~ spl0_7
    | spl0_12 ),
    inference(avatar_split_clause,[],[f67,f274,f252]) ).

fof(f252,plain,
    ( spl0_7
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f67,plain,
    ( ndr1_0
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_7
    | spl0_102 ),
    inference(avatar_split_clause,[],[f68,f722,f252]) ).

fof(f68,plain,
    ( c0_1(a430)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_7
    | spl0_101 ),
    inference(avatar_split_clause,[],[f69,f717,f252]) ).

fof(f69,plain,
    ( c2_1(a430)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f715,plain,
    ( ~ spl0_7
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f70,f712,f252]) ).

fof(f70,plain,
    ( ~ c3_1(a430)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_30
    | spl0_99 ),
    inference(avatar_split_clause,[],[f72,f706,f349]) ).

fof(f349,plain,
    ( spl0_30
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f72,plain,
    ( c1_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( ~ spl0_30
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f73,f701,f349]) ).

fof(f73,plain,
    ( ~ c0_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f699,plain,
    ( ~ spl0_30
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f74,f696,f349]) ).

fof(f74,plain,
    ( ~ c3_1(a434)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_4
    | spl0_93 ),
    inference(avatar_split_clause,[],[f80,f674,f239]) ).

fof(f239,plain,
    ( spl0_4
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f80,plain,
    ( c0_1(a440)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f667,plain,
    ( ~ spl0_4
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f82,f664,f239]) ).

fof(f82,plain,
    ( ~ c3_1(a440)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_19
    | spl0_90 ),
    inference(avatar_split_clause,[],[f84,f658,f302]) ).

fof(f302,plain,
    ( spl0_19
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f84,plain,
    ( c1_1(a445)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( ~ spl0_19
    | spl0_89 ),
    inference(avatar_split_clause,[],[f85,f653,f302]) ).

fof(f85,plain,
    ( c3_1(a445)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f651,plain,
    ( ~ spl0_19
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f86,f648,f302]) ).

fof(f86,plain,
    ( ~ c0_1(a445)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_5
    | spl0_87 ),
    inference(avatar_split_clause,[],[f88,f642,f243]) ).

fof(f243,plain,
    ( spl0_5
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f88,plain,
    ( c1_1(a449)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f640,plain,
    ( ~ spl0_5
    | spl0_86 ),
    inference(avatar_split_clause,[],[f89,f637,f243]) ).

fof(f89,plain,
    ( c3_1(a449)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f635,plain,
    ( ~ spl0_5
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f90,f632,f243]) ).

fof(f90,plain,
    ( ~ c2_1(a449)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f613,plain,
    ( ~ spl0_16
    | spl0_81 ),
    inference(avatar_split_clause,[],[f96,f610,f290]) ).

fof(f290,plain,
    ( spl0_16
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f96,plain,
    ( c0_1(a451)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( ~ spl0_16
    | spl0_80 ),
    inference(avatar_split_clause,[],[f97,f605,f290]) ).

fof(f97,plain,
    ( c2_1(a451)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f603,plain,
    ( ~ spl0_16
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f98,f600,f290]) ).

fof(f98,plain,
    ( ~ c1_1(a451)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_6
    | spl0_78 ),
    inference(avatar_split_clause,[],[f100,f594,f247]) ).

fof(f247,plain,
    ( spl0_6
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f100,plain,
    ( c1_1(a460)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_6
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f101,f589,f247]) ).

fof(f101,plain,
    ( ~ c2_1(a460)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f587,plain,
    ( ~ spl0_6
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f102,f584,f247]) ).

fof(f102,plain,
    ( ~ c3_1(a460)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_10
    | spl0_75 ),
    inference(avatar_split_clause,[],[f104,f578,f265]) ).

fof(f265,plain,
    ( spl0_10
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f104,plain,
    ( c3_1(a477)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_10
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f105,f573,f265]) ).

fof(f105,plain,
    ( ~ c0_1(a477)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f533,plain,
    ( ~ spl0_32
    | spl0_66 ),
    inference(avatar_split_clause,[],[f116,f530,f358]) ).

fof(f358,plain,
    ( spl0_32
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f116,plain,
    ( c0_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( ~ spl0_32
    | spl0_65 ),
    inference(avatar_split_clause,[],[f117,f525,f358]) ).

fof(f117,plain,
    ( c1_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( ~ spl0_32
    | spl0_64 ),
    inference(avatar_split_clause,[],[f118,f520,f358]) ).

fof(f118,plain,
    ( c2_1(a412)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f491,plain,
    ( spl0_57
    | spl0_55
    | ~ spl0_12
    | spl0_33 ),
    inference(avatar_split_clause,[],[f195,f363,f274,f470,f481]) ).

fof(f195,plain,
    ! [X94,X95,X93] :
      ( ~ c1_1(X93)
      | c3_1(X93)
      | c2_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ c2_1(X95)
      | c1_1(X95)
      | c0_1(X95) ),
    inference(duplicate_literal_removal,[],[f128]) ).

fof(f128,plain,
    ! [X94,X95,X93] :
      ( ~ c1_1(X93)
      | c3_1(X93)
      | c2_1(X93)
      | ~ ndr1_0
      | c3_1(X94)
      | c2_1(X94)
      | c0_1(X94)
      | ~ ndr1_0
      | ~ c2_1(X95)
      | c1_1(X95)
      | c0_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_56
    | spl0_49
    | ~ spl0_12
    | spl0_41 ),
    inference(avatar_split_clause,[],[f198,f400,f274,f437,f474]) ).

fof(f198,plain,
    ! [X83,X84,X85] :
      ( ~ c3_1(X83)
      | c2_1(X83)
      | c1_1(X83)
      | ~ ndr1_0
      | ~ c2_1(X84)
      | c3_1(X84)
      | c0_1(X84)
      | ~ c3_1(X85)
      | c1_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X83,X84,X85] :
      ( ~ c3_1(X83)
      | c2_1(X83)
      | c1_1(X83)
      | ~ ndr1_0
      | ~ c2_1(X84)
      | c3_1(X84)
      | c0_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_56
    | ~ spl0_12
    | spl0_33
    | spl0_8 ),
    inference(avatar_split_clause,[],[f200,f256,f363,f274,f474]) ).

fof(f200,plain,
    ! [X80,X79] :
      ( hskp7
      | ~ c1_1(X79)
      | c3_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c1_1(X80)
      | c0_1(X80) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X80,X79] :
      ( hskp7
      | ~ c1_1(X79)
      | c3_1(X79)
      | c2_1(X79)
      | ~ ndr1_0
      | ~ c3_1(X80)
      | c1_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( spl0_56
    | ~ spl0_12
    | spl0_23
    | spl0_14 ),
    inference(avatar_split_clause,[],[f201,f281,f319,f274,f474]) ).

fof(f201,plain,
    ! [X78,X77] :
      ( hskp4
      | ~ c1_1(X77)
      | ~ c0_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c1_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X78,X77] :
      ( hskp4
      | ~ c1_1(X77)
      | ~ c0_1(X77)
      | c3_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c1_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f472,plain,
    ( ~ spl0_12
    | spl0_55
    | spl0_32
    | spl0_53 ),
    inference(avatar_split_clause,[],[f137,f457,f358,f470,f274]) ).

fof(f137,plain,
    ! [X76] :
      ( hskp0
      | hskp27
      | c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( ~ spl0_12
    | spl0_54
    | spl0_1
    | spl0_15 ),
    inference(avatar_split_clause,[],[f140,f285,f226,f464,f274]) ).

fof(f140,plain,
    ! [X70] :
      ( hskp9
      | hskp8
      | ~ c1_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f461,plain,
    ( spl0_52
    | ~ spl0_12
    | spl0_25
    | spl0_22 ),
    inference(avatar_split_clause,[],[f205,f314,f329,f274,f453]) ).

fof(f205,plain,
    ! [X66,X67] :
      ( hskp10
      | ~ c3_1(X66)
      | ~ c1_1(X66)
      | c2_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67)
      | c2_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f142]) ).

fof(f142,plain,
    ! [X66,X67] :
      ( hskp10
      | ~ c3_1(X66)
      | ~ c1_1(X66)
      | c2_1(X66)
      | ~ ndr1_0
      | ~ c3_1(X67)
      | c2_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( spl0_51
    | ~ spl0_12
    | spl0_38
    | spl0_15 ),
    inference(avatar_split_clause,[],[f206,f285,f388,f274,f449]) ).

fof(f206,plain,
    ! [X62,X63] :
      ( hskp9
      | ~ c0_1(X62)
      | c3_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X62,X63] :
      ( hskp9
      | ~ c0_1(X62)
      | c3_1(X62)
      | c1_1(X62)
      | ~ ndr1_0
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f447,plain,
    ( spl0_49
    | ~ spl0_12
    | spl0_44
    | spl0_39 ),
    inference(avatar_split_clause,[],[f207,f391,f414,f274,f437]) ).

fof(f207,plain,
    ! [X60,X61] :
      ( hskp1
      | ~ c3_1(X60)
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X60,X61] :
      ( hskp1
      | ~ c3_1(X60)
      | ~ c2_1(X60)
      | c0_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f446,plain,
    ( spl0_49
    | ~ spl0_12
    | spl0_43
    | spl0_15 ),
    inference(avatar_split_clause,[],[f208,f285,f410,f274,f437]) ).

fof(f208,plain,
    ! [X58,X59] :
      ( hskp9
      | ~ c0_1(X58)
      | c2_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X58,X59] :
      ( hskp9
      | ~ c0_1(X58)
      | c2_1(X58)
      | c1_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( spl0_49
    | ~ spl0_12
    | spl0_37
    | spl0_21 ),
    inference(avatar_split_clause,[],[f209,f310,f383,f274,f437]) ).

fof(f209,plain,
    ! [X56,X57] :
      ( hskp12
      | ~ c2_1(X56)
      | c3_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X56,X57] :
      ( hskp12
      | ~ c2_1(X56)
      | c3_1(X56)
      | c1_1(X56)
      | ~ ndr1_0
      | ~ c2_1(X57)
      | c3_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( spl0_49
    | ~ spl0_12
    | spl0_25
    | spl0_50 ),
    inference(avatar_split_clause,[],[f211,f440,f329,f274,f437]) ).

fof(f211,plain,
    ! [X52,X53] :
      ( hskp14
      | ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c2_1(X53)
      | c3_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X52,X53] :
      ( hskp14
      | ~ c3_1(X52)
      | ~ c1_1(X52)
      | c2_1(X52)
      | ~ ndr1_0
      | ~ c2_1(X53)
      | c3_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( spl0_46
    | ~ spl0_12
    | spl0_38
    | spl0_39 ),
    inference(avatar_split_clause,[],[f212,f391,f388,f274,f424]) ).

fof(f212,plain,
    ! [X50,X51] :
      ( hskp1
      | ~ c0_1(X50)
      | c3_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X50,X51] :
      ( hskp1
      | ~ c0_1(X50)
      | c3_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c2_1(X51)
      | ~ c1_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( spl0_46
    | spl0_42
    | ~ spl0_12
    | spl0_48 ),
    inference(avatar_split_clause,[],[f213,f432,f274,f405,f424]) ).

fof(f213,plain,
    ! [X48,X49,X47] :
      ( ~ c2_1(X47)
      | ~ c0_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c1_1(X48)
      | ~ c2_1(X49)
      | ~ c1_1(X49)
      | c0_1(X49) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X48,X49,X47] :
      ( ~ c2_1(X47)
      | ~ c0_1(X47)
      | c3_1(X47)
      | ~ ndr1_0
      | ~ c3_1(X48)
      | ~ c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0
      | ~ c2_1(X49)
      | ~ c1_1(X49)
      | c0_1(X49)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f430,plain,
    ( ~ spl0_12
    | spl0_46
    | spl0_7
    | spl0_47 ),
    inference(avatar_split_clause,[],[f153,f427,f252,f424,f274]) ).

fof(f153,plain,
    ! [X46] :
      ( hskp6
      | hskp15
      | ~ c2_1(X46)
      | ~ c1_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f422,plain,
    ( spl0_45
    | ~ spl0_12
    | spl0_35 ),
    inference(avatar_split_clause,[],[f214,f374,f274,f418]) ).

fof(f214,plain,
    ! [X44,X45] :
      ( ~ c3_1(X44)
      | ~ c0_1(X44)
      | c1_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X44,X45] :
      ( ~ c3_1(X44)
      | ~ c0_1(X44)
      | c1_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( spl0_43
    | spl0_31
    | ~ spl0_12
    | spl0_18 ),
    inference(avatar_split_clause,[],[f216,f299,f274,f355,f410]) ).

fof(f216,plain,
    ! [X38,X39,X37] :
      ( ~ c2_1(X37)
      | ~ c1_1(X37)
      | ~ c0_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | c2_1(X38)
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X38,X39,X37] :
      ( ~ c2_1(X37)
      | ~ c1_1(X37)
      | ~ c0_1(X37)
      | ~ ndr1_0
      | ~ c1_1(X38)
      | ~ c0_1(X38)
      | c2_1(X38)
      | ~ ndr1_0
      | ~ c0_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( spl0_38
    | ~ spl0_12
    | spl0_40
    | spl0_15 ),
    inference(avatar_split_clause,[],[f219,f285,f396,f274,f388]) ).

fof(f219,plain,
    ! [X28,X29] :
      ( hskp9
      | ~ c3_1(X28)
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X28,X29] :
      ( hskp9
      | ~ c3_1(X28)
      | ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( ~ spl0_12
    | spl0_38
    | spl0_21
    | spl0_39 ),
    inference(avatar_split_clause,[],[f164,f391,f310,f388,f274]) ).

fof(f164,plain,
    ! [X27] :
      ( hskp1
      | hskp12
      | ~ c0_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_37
    | ~ spl0_12
    | spl0_23 ),
    inference(avatar_split_clause,[],[f220,f319,f274,f383]) ).

fof(f220,plain,
    ! [X26,X25] :
      ( ~ c1_1(X25)
      | ~ c0_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X26,X25] :
      ( ~ c1_1(X25)
      | ~ c0_1(X25)
      | c3_1(X25)
      | ~ ndr1_0
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f385,plain,
    ( spl0_37
    | ~ spl0_12
    | spl0_13
    | spl0_19 ),
    inference(avatar_split_clause,[],[f221,f302,f278,f274,f383]) ).

fof(f221,plain,
    ! [X24,X23] :
      ( hskp19
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c3_1(X24)
      | c1_1(X24) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X24,X23] :
      ( hskp19
      | ~ c3_1(X23)
      | ~ c2_1(X23)
      | ~ c0_1(X23)
      | ~ ndr1_0
      | ~ c2_1(X24)
      | c3_1(X24)
      | c1_1(X24)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f381,plain,
    ( spl0_36
    | ~ spl0_12
    | spl0_13
    | spl0_2 ),
    inference(avatar_split_clause,[],[f222,f230,f278,f274,f379]) ).

fof(f222,plain,
    ! [X21,X22] :
      ( hskp3
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X21,X22] :
      ( hskp3
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0
      | ~ c2_1(X22)
      | ~ c0_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f372,plain,
    ( spl0_34
    | ~ spl0_12
    | spl0_25
    | spl0_16 ),
    inference(avatar_split_clause,[],[f223,f290,f329,f274,f369]) ).

fof(f223,plain,
    ! [X18,X17] :
      ( hskp22
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c2_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X18,X17] :
      ( hskp22
      | ~ c3_1(X17)
      | ~ c1_1(X17)
      | c2_1(X17)
      | ~ ndr1_0
      | ~ c0_1(X18)
      | c3_1(X18)
      | c2_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f367,plain,
    ( spl0_33
    | ~ spl0_12
    | spl0_13
    | spl0_5 ),
    inference(avatar_split_clause,[],[f224,f243,f278,f274,f363]) ).

fof(f224,plain,
    ! [X14,X15] :
      ( hskp20
      | ~ c3_1(X14)
      | ~ c2_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | c3_1(X15)
      | c2_1(X15) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X14,X15] :
      ( hskp20
      | ~ c3_1(X14)
      | ~ c2_1(X14)
      | ~ c0_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_12
    | spl0_33
    | spl0_26
    | spl0_8 ),
    inference(avatar_split_clause,[],[f174,f256,f332,f363,f274]) ).

fof(f174,plain,
    ! [X12] :
      ( hskp7
      | hskp2
      | ~ c1_1(X12)
      | c3_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f361,plain,
    ( ~ spl0_12
    | spl0_31
    | spl0_32
    | spl0_6 ),
    inference(avatar_split_clause,[],[f175,f247,f358,f355,f274]) ).

fof(f175,plain,
    ! [X11] :
      ( hskp23
      | hskp27
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f352,plain,
    ( ~ spl0_12
    | spl0_29
    | spl0_8
    | spl0_30 ),
    inference(avatar_split_clause,[],[f177,f349,f256,f346,f274]) ).

fof(f177,plain,
    ! [X9] :
      ( hskp16
      | hskp7
      | ~ c3_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f339,plain,
    ( ~ spl0_12
    | spl0_25
    | spl0_26
    | spl0_27 ),
    inference(avatar_split_clause,[],[f179,f336,f332,f329,f274]) ).

fof(f179,plain,
    ! [X7] :
      ( hskp13
      | hskp2
      | ~ c3_1(X7)
      | ~ c1_1(X7)
      | c2_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( ~ spl0_12
    | spl0_23
    | spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f180,f322,f281,f319,f274]) ).

fof(f180,plain,
    ! [X6] :
      ( hskp5
      | hskp4
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f326,plain,
    ( ~ spl0_12
    | spl0_23
    | spl0_5 ),
    inference(avatar_split_clause,[],[f181,f243,f319,f274]) ).

fof(f181,plain,
    ! [X5] :
      ( hskp20
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f305,plain,
    ( ~ spl0_12
    | spl0_18
    | spl0_19
    | spl0_10 ),
    inference(avatar_split_clause,[],[f184,f265,f302,f299,f274]) ).

fof(f184,plain,
    ! [X2] :
      ( hskp24
      | hskp19
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f259,plain,
    ( spl0_7
    | spl0_8
    | spl0_2 ),
    inference(avatar_split_clause,[],[f188,f230,f256,f252]) ).

fof(f188,plain,
    ( hskp3
    | hskp7
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f250,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f189,f247,f243,f239]) ).

fof(f189,plain,
    ( hskp23
    | hskp20
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem    : SYN469+1 : TPTP v8.1.2. Released v2.1.0.
% 0.03/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit   : 300
% 0.12/0.33  % WCLimit    : 300
% 0.12/0.33  % DateTime   : Fri May  3 17:18:53 EDT 2024
% 0.12/0.33  % CPUTime    : 
% 0.12/0.33  This is a FOF_THM_EPR_NEQ problem
% 0.12/0.33  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.WYGASs5rzN/Vampire---4.8_11376
% 0.59/0.79  % (11486)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.59/0.79  % (11488)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.79  % (11487)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.59/0.79  % (11484)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.59/0.79  % (11485)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.59/0.79  % (11489)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.59/0.79  % (11491)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.59/0.79  % (11490)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.59/0.81  % (11484)Instruction limit reached!
% 0.59/0.81  % (11484)------------------------------
% 0.59/0.81  % (11484)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (11484)Termination reason: Unknown
% 0.59/0.81  % (11484)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (11484)Memory used [KB]: 2072
% 0.59/0.81  % (11484)Time elapsed: 0.019 s
% 0.59/0.81  % (11484)Instructions burned: 34 (million)
% 0.59/0.81  % (11484)------------------------------
% 0.59/0.81  % (11484)------------------------------
% 0.59/0.81  % (11487)Instruction limit reached!
% 0.59/0.81  % (11487)------------------------------
% 0.59/0.81  % (11487)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (11487)Termination reason: Unknown
% 0.59/0.81  % (11487)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (11488)Instruction limit reached!
% 0.59/0.81  % (11488)------------------------------
% 0.59/0.81  % (11488)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.81  % (11488)Termination reason: Unknown
% 0.59/0.81  % (11488)Termination phase: Saturation
% 0.59/0.81  
% 0.59/0.81  % (11488)Memory used [KB]: 2122
% 0.59/0.81  % (11488)Time elapsed: 0.019 s
% 0.59/0.81  % (11488)Instructions burned: 34 (million)
% 0.59/0.81  % (11488)------------------------------
% 0.59/0.81  % (11488)------------------------------
% 0.59/0.81  % (11487)Memory used [KB]: 2155
% 0.59/0.81  % (11487)Time elapsed: 0.019 s
% 0.59/0.81  % (11487)Instructions burned: 33 (million)
% 0.59/0.81  % (11487)------------------------------
% 0.59/0.81  % (11487)------------------------------
% 0.59/0.81  % (11492)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.59/0.81  % (11494)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.59/0.81  % (11493)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.59/0.82  % (11485)First to succeed.
% 0.59/0.82  % (11489)Instruction limit reached!
% 0.59/0.82  % (11489)------------------------------
% 0.59/0.82  % (11489)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (11489)Termination reason: Unknown
% 0.59/0.82  % (11489)Termination phase: Saturation
% 0.59/0.82  
% 0.59/0.82  % (11489)Memory used [KB]: 2234
% 0.59/0.82  % (11489)Time elapsed: 0.026 s
% 0.59/0.82  % (11489)Instructions burned: 46 (million)
% 0.59/0.82  % (11489)------------------------------
% 0.59/0.82  % (11489)------------------------------
% 0.59/0.82  % (11495)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.59/0.82  % (11491)Instruction limit reached!
% 0.59/0.82  % (11491)------------------------------
% 0.59/0.82  % (11491)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.82  % (11491)Termination reason: Unknown
% 0.59/0.82  % (11491)Termination phase: Saturation
% 0.59/0.82  
% 0.59/0.82  % (11491)Memory used [KB]: 2302
% 0.59/0.82  % (11491)Time elapsed: 0.031 s
% 0.59/0.82  % (11491)Instructions burned: 57 (million)
% 0.59/0.82  % (11491)------------------------------
% 0.59/0.82  % (11491)------------------------------
% 0.59/0.82  % (11496)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.59/0.83  % (11485)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-11483"
% 0.59/0.83  % (11485)Refutation found. Thanks to Tanya!
% 0.59/0.83  % SZS status Theorem for Vampire---4
% 0.59/0.83  % SZS output start Proof for Vampire---4
% See solution above
% 0.59/0.83  % (11485)------------------------------
% 0.59/0.83  % (11485)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.59/0.83  % (11485)Termination reason: Refutation
% 0.59/0.83  
% 0.59/0.83  % (11485)Memory used [KB]: 1952
% 0.59/0.83  % (11485)Time elapsed: 0.035 s
% 0.59/0.83  % (11485)Instructions burned: 67 (million)
% 0.59/0.83  % (11483)Success in time 0.49 s
% 0.59/0.83  % Vampire---4.8 exiting
%------------------------------------------------------------------------------