TSTP Solution File: SYN505+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN505+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/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n004.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed May  1 04:35:15 EDT 2024

% Result   : Theorem 0.61s 0.80s
% Output   : Refutation 0.61s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  137
% Syntax   : Number of formulae    :  596 (   1 unt;   0 def)
%            Number of atoms       : 6479 (   0 equ)
%            Maximal formula atoms :  749 (  10 avg)
%            Number of connectives : 8755 (2872   ~;4037   |;1242   &)
%                                         ( 136 <=>; 468  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  118 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  174 ( 173 usr; 170 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  861 ( 861   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2076,plain,
    $false,
    inference(avatar_sat_refutation,[],[f291,f317,f326,f340,f349,f371,f376,f381,f395,f408,f412,f417,f418,f423,f427,f441,f442,f443,f452,f456,f466,f470,f474,f475,f479,f483,f484,f488,f489,f490,f495,f500,f501,f505,f507,f511,f512,f516,f521,f522,f523,f565,f570,f575,f581,f586,f591,f592,f597,f602,f607,f629,f634,f639,f645,f650,f655,f661,f666,f671,f677,f682,f687,f757,f762,f767,f773,f778,f783,f789,f794,f799,f805,f810,f815,f837,f842,f847,f853,f858,f863,f869,f874,f879,f901,f906,f911,f912,f917,f922,f927,f933,f938,f943,f949,f954,f959,f965,f970,f975,f986,f991,f1029,f1034,f1039,f1045,f1050,f1055,f1061,f1066,f1071,f1072,f1081,f1082,f1105,f1106,f1107,f1117,f1149,f1166,f1233,f1234,f1249,f1253,f1268,f1281,f1295,f1301,f1348,f1367,f1378,f1417,f1434,f1435,f1437,f1451,f1452,f1465,f1466,f1477,f1478,f1509,f1514,f1545,f1546,f1551,f1561,f1619,f1620,f1628,f1633,f1652,f1667,f1699,f1726,f1787,f1788,f1818,f1855,f1887,f1907,f1912,f1914,f1915,f1919,f1930,f1931,f1933,f1934,f1937,f1951,f1952,f1966,f1985,f1986,f2004,f2046,f2049,f2051,f2075]) ).

fof(f2075,plain,
    ( ~ spl0_74
    | spl0_166
    | ~ spl0_37
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2071,f599,f415,f1119,f604]) ).

fof(f604,plain,
    ( spl0_74
  <=> c0_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1119,plain,
    ( spl0_166
  <=> c3_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f415,plain,
    ( spl0_37
  <=> ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | ~ c0_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f599,plain,
    ( spl0_73
  <=> c1_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2071,plain,
    ( c3_1(a474)
    | ~ c0_1(a474)
    | ~ spl0_37
    | ~ spl0_73 ),
    inference(resolution,[],[f416,f601]) ).

fof(f601,plain,
    ( c1_1(a474)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f599]) ).

fof(f416,plain,
    ( ! [X15] :
        ( ~ c1_1(X15)
        | c3_1(X15)
        | ~ c0_1(X15) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f2051,plain,
    ( ~ spl0_186
    | ~ spl0_139
    | ~ spl0_34
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2035,f956,f402,f951,f1630]) ).

fof(f1630,plain,
    ( spl0_186
  <=> c1_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f951,plain,
    ( spl0_139
  <=> c3_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f402,plain,
    ( spl0_34
  <=> ! [X8] :
        ( ~ c3_1(X8)
        | ~ c0_1(X8)
        | ~ c1_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f956,plain,
    ( spl0_140
  <=> c0_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2035,plain,
    ( ~ c3_1(a471)
    | ~ c1_1(a471)
    | ~ spl0_34
    | ~ spl0_140 ),
    inference(resolution,[],[f403,f958]) ).

fof(f958,plain,
    ( c0_1(a471)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f956]) ).

fof(f403,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | ~ c3_1(X8)
        | ~ c1_1(X8) )
    | ~ spl0_34 ),
    inference(avatar_component_clause,[],[f402]) ).

fof(f2049,plain,
    ( ~ spl0_73
    | ~ spl0_166
    | ~ spl0_34
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2044,f604,f402,f1119,f599]) ).

fof(f2044,plain,
    ( ~ c3_1(a474)
    | ~ c1_1(a474)
    | ~ spl0_34
    | ~ spl0_74 ),
    inference(resolution,[],[f403,f606]) ).

fof(f606,plain,
    ( c0_1(a474)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f604]) ).

fof(f2046,plain,
    ( ~ spl0_137
    | ~ spl0_136
    | ~ spl0_34
    | ~ spl0_177 ),
    inference(avatar_split_clause,[],[f2036,f1328,f402,f935,f940]) ).

fof(f940,plain,
    ( spl0_137
  <=> c1_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f935,plain,
    ( spl0_136
  <=> c3_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1328,plain,
    ( spl0_177
  <=> c0_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f2036,plain,
    ( ~ c3_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_34
    | ~ spl0_177 ),
    inference(resolution,[],[f403,f1329]) ).

fof(f1329,plain,
    ( c0_1(a472)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f1328]) ).

fof(f2004,plain,
    ( spl0_141
    | spl0_142
    | ~ spl0_50
    | spl0_191 ),
    inference(avatar_split_clause,[],[f2003,f1909,f477,f967,f962]) ).

fof(f962,plain,
    ( spl0_141
  <=> c2_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f967,plain,
    ( spl0_142
  <=> c1_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f477,plain,
    ( spl0_50
  <=> ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1909,plain,
    ( spl0_191
  <=> c3_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_191])]) ).

fof(f2003,plain,
    ( c1_1(a470)
    | c2_1(a470)
    | ~ spl0_50
    | spl0_191 ),
    inference(resolution,[],[f1911,f478]) ).

fof(f478,plain,
    ( ! [X48] :
        ( c3_1(X48)
        | c1_1(X48)
        | c2_1(X48) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1911,plain,
    ( ~ c3_1(a470)
    | spl0_191 ),
    inference(avatar_component_clause,[],[f1909]) ).

fof(f1986,plain,
    ( ~ spl0_70
    | ~ spl0_164
    | ~ spl0_28
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1980,f578,f373,f1094,f583]) ).

fof(f583,plain,
    ( spl0_70
  <=> c2_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1094,plain,
    ( spl0_164
  <=> c0_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f373,plain,
    ( spl0_28
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f578,plain,
    ( spl0_69
  <=> c3_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1980,plain,
    ( ~ c0_1(a488)
    | ~ c2_1(a488)
    | ~ spl0_28
    | ~ spl0_69 ),
    inference(resolution,[],[f580,f374]) ).

fof(f374,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f373]) ).

fof(f580,plain,
    ( c3_1(a488)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f578]) ).

fof(f1985,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_49
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f1984,f1174,f472,f855,f850]) ).

fof(f850,plain,
    ( spl0_120
  <=> c2_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f855,plain,
    ( spl0_121
  <=> c1_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f472,plain,
    ( spl0_49
  <=> ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45)
        | c2_1(X45) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1174,plain,
    ( spl0_171
  <=> c0_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f1984,plain,
    ( c1_1(a482)
    | c2_1(a482)
    | ~ spl0_49
    | ~ spl0_171 ),
    inference(resolution,[],[f1175,f473]) ).

fof(f473,plain,
    ( ! [X45] :
        ( ~ c0_1(X45)
        | c1_1(X45)
        | c2_1(X45) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1175,plain,
    ( c0_1(a482)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f1174]) ).

fof(f1966,plain,
    ( spl0_81
    | spl0_176
    | ~ spl0_42
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1764,f652,f439,f1297,f642]) ).

fof(f642,plain,
    ( spl0_81
  <=> c3_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1297,plain,
    ( spl0_176
  <=> c2_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f439,plain,
    ( spl0_42
  <=> ! [X27] :
        ( ~ c0_1(X27)
        | c2_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f652,plain,
    ( spl0_83
  <=> c0_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1764,plain,
    ( c2_1(a559)
    | c3_1(a559)
    | ~ spl0_42
    | ~ spl0_83 ),
    inference(resolution,[],[f440,f654]) ).

fof(f654,plain,
    ( c0_1(a559)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f652]) ).

fof(f440,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c2_1(X27)
        | c3_1(X27) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f439]) ).

fof(f1952,plain,
    ( spl0_167
    | spl0_87
    | ~ spl0_42
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1948,f684,f439,f674,f1135]) ).

fof(f1135,plain,
    ( spl0_167
  <=> c3_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f674,plain,
    ( spl0_87
  <=> c2_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f684,plain,
    ( spl0_89
  <=> c0_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1948,plain,
    ( c2_1(a525)
    | c3_1(a525)
    | ~ spl0_42
    | ~ spl0_89 ),
    inference(resolution,[],[f686,f440]) ).

fof(f686,plain,
    ( c0_1(a525)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f1951,plain,
    ( ~ spl0_88
    | ~ spl0_167
    | ~ spl0_34
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f1949,f684,f402,f1135,f679]) ).

fof(f679,plain,
    ( spl0_88
  <=> c1_1(a525) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1949,plain,
    ( ~ c3_1(a525)
    | ~ c1_1(a525)
    | ~ spl0_34
    | ~ spl0_89 ),
    inference(resolution,[],[f686,f403]) ).

fof(f1937,plain,
    ( spl0_105
    | spl0_106
    | ~ spl0_42
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f1763,f780,f439,f775,f770]) ).

fof(f770,plain,
    ( spl0_105
  <=> c3_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f775,plain,
    ( spl0_106
  <=> c2_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f780,plain,
    ( spl0_107
  <=> c0_1(a494) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1763,plain,
    ( c2_1(a494)
    | c3_1(a494)
    | ~ spl0_42
    | ~ spl0_107 ),
    inference(resolution,[],[f440,f782]) ).

fof(f782,plain,
    ( c0_1(a494)
    | ~ spl0_107 ),
    inference(avatar_component_clause,[],[f780]) ).

fof(f1934,plain,
    ( ~ spl0_72
    | ~ spl0_74
    | ~ spl0_28
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1697,f1119,f373,f604,f594]) ).

fof(f594,plain,
    ( spl0_72
  <=> c2_1(a474) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1697,plain,
    ( ~ c0_1(a474)
    | ~ c2_1(a474)
    | ~ spl0_28
    | ~ spl0_166 ),
    inference(resolution,[],[f374,f1121]) ).

fof(f1121,plain,
    ( c3_1(a474)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1119]) ).

fof(f1933,plain,
    ( ~ spl0_66
    | spl0_163
    | ~ spl0_58
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1929,f567,f519,f1084,f562]) ).

fof(f562,plain,
    ( spl0_66
  <=> c3_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1084,plain,
    ( spl0_163
  <=> c2_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f519,plain,
    ( spl0_58
  <=> ! [X80] :
        ( ~ c3_1(X80)
        | c2_1(X80)
        | ~ c1_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f567,plain,
    ( spl0_67
  <=> c1_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1929,plain,
    ( c2_1(a529)
    | ~ c3_1(a529)
    | ~ spl0_58
    | ~ spl0_67 ),
    inference(resolution,[],[f520,f569]) ).

fof(f569,plain,
    ( c1_1(a529)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f520,plain,
    ( ! [X80] :
        ( ~ c1_1(X80)
        | c2_1(X80)
        | ~ c3_1(X80) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f1931,plain,
    ( ~ spl0_136
    | spl0_135
    | ~ spl0_58
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1923,f940,f519,f930,f935]) ).

fof(f930,plain,
    ( spl0_135
  <=> c2_1(a472) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1923,plain,
    ( c2_1(a472)
    | ~ c3_1(a472)
    | ~ spl0_58
    | ~ spl0_137 ),
    inference(resolution,[],[f520,f942]) ).

fof(f942,plain,
    ( c1_1(a472)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f940]) ).

fof(f1930,plain,
    ( ~ spl0_139
    | spl0_138
    | ~ spl0_58
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1922,f1630,f519,f946,f951]) ).

fof(f946,plain,
    ( spl0_138
  <=> c2_1(a471) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f1922,plain,
    ( c2_1(a471)
    | ~ c3_1(a471)
    | ~ spl0_58
    | ~ spl0_186 ),
    inference(resolution,[],[f520,f1632]) ).

fof(f1632,plain,
    ( c1_1(a471)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1630]) ).

fof(f1919,plain,
    ( ~ spl0_85
    | spl0_84
    | ~ spl0_57
    | spl0_162 ),
    inference(avatar_split_clause,[],[f1903,f1078,f514,f658,f663]) ).

fof(f663,plain,
    ( spl0_85
  <=> c3_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f658,plain,
    ( spl0_84
  <=> c0_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f514,plain,
    ( spl0_57
  <=> ! [X77] :
        ( ~ c3_1(X77)
        | c0_1(X77)
        | c2_1(X77) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1078,plain,
    ( spl0_162
  <=> c2_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1903,plain,
    ( c0_1(a545)
    | ~ c3_1(a545)
    | ~ spl0_57
    | spl0_162 ),
    inference(resolution,[],[f515,f1080]) ).

fof(f1080,plain,
    ( ~ c2_1(a545)
    | spl0_162 ),
    inference(avatar_component_clause,[],[f1078]) ).

fof(f515,plain,
    ( ! [X77] :
        ( c2_1(X77)
        | c0_1(X77)
        | ~ c3_1(X77) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f514]) ).

fof(f1915,plain,
    ( ~ spl0_122
    | spl0_171
    | ~ spl0_57
    | spl0_120 ),
    inference(avatar_split_clause,[],[f1897,f850,f514,f1174,f860]) ).

fof(f860,plain,
    ( spl0_122
  <=> c3_1(a482) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1897,plain,
    ( c0_1(a482)
    | ~ c3_1(a482)
    | ~ spl0_57
    | spl0_120 ),
    inference(resolution,[],[f515,f852]) ).

fof(f852,plain,
    ( ~ c2_1(a482)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f850]) ).

fof(f1914,plain,
    ( ~ spl0_136
    | spl0_177
    | ~ spl0_57
    | spl0_135 ),
    inference(avatar_split_clause,[],[f1895,f930,f514,f1328,f935]) ).

fof(f1895,plain,
    ( c0_1(a472)
    | ~ c3_1(a472)
    | ~ spl0_57
    | spl0_135 ),
    inference(resolution,[],[f515,f932]) ).

fof(f932,plain,
    ( ~ c2_1(a472)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f1912,plain,
    ( ~ spl0_191
    | spl0_143
    | ~ spl0_57
    | spl0_141 ),
    inference(avatar_split_clause,[],[f1893,f962,f514,f972,f1909]) ).

fof(f972,plain,
    ( spl0_143
  <=> c0_1(a470) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f1893,plain,
    ( c0_1(a470)
    | ~ c3_1(a470)
    | ~ spl0_57
    | spl0_141 ),
    inference(resolution,[],[f515,f964]) ).

fof(f964,plain,
    ( ~ c2_1(a470)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f1907,plain,
    ( ~ spl0_155
    | spl0_154
    | ~ spl0_57
    | spl0_153 ),
    inference(avatar_split_clause,[],[f1892,f1026,f514,f1031,f1036]) ).

fof(f1036,plain,
    ( spl0_155
  <=> c3_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1031,plain,
    ( spl0_154
  <=> c0_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1026,plain,
    ( spl0_153
  <=> c2_1(a464) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1892,plain,
    ( c0_1(a464)
    | ~ c3_1(a464)
    | ~ spl0_57
    | spl0_153 ),
    inference(resolution,[],[f515,f1028]) ).

fof(f1028,plain,
    ( ~ c2_1(a464)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1026]) ).

fof(f1887,plain,
    ( spl0_123
    | spl0_124
    | ~ spl0_56
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1881,f876,f509,f871,f866]) ).

fof(f866,plain,
    ( spl0_123
  <=> c3_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f871,plain,
    ( spl0_124
  <=> c0_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f509,plain,
    ( spl0_56
  <=> ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c3_1(X73) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f876,plain,
    ( spl0_125
  <=> c1_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1881,plain,
    ( c0_1(a481)
    | c3_1(a481)
    | ~ spl0_56
    | ~ spl0_125 ),
    inference(resolution,[],[f510,f878]) ).

fof(f878,plain,
    ( c1_1(a481)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f876]) ).

fof(f510,plain,
    ( ! [X73] :
        ( ~ c1_1(X73)
        | c0_1(X73)
        | c3_1(X73) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f509]) ).

fof(f1855,plain,
    ( ~ spl0_137
    | spl0_177
    | ~ spl0_53
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f1838,f935,f493,f1328,f940]) ).

fof(f493,plain,
    ( spl0_53
  <=> ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f1838,plain,
    ( c0_1(a472)
    | ~ c1_1(a472)
    | ~ spl0_53
    | ~ spl0_136 ),
    inference(resolution,[],[f494,f937]) ).

fof(f937,plain,
    ( c3_1(a472)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f935]) ).

fof(f494,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | ~ c1_1(X62) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f1818,plain,
    ( spl0_79
    | spl0_80
    | ~ spl0_50
    | spl0_78 ),
    inference(avatar_split_clause,[],[f1804,f626,f477,f636,f631]) ).

fof(f631,plain,
    ( spl0_79
  <=> c2_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f636,plain,
    ( spl0_80
  <=> c1_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f626,plain,
    ( spl0_78
  <=> c3_1(a576) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f1804,plain,
    ( c1_1(a576)
    | c2_1(a576)
    | ~ spl0_50
    | spl0_78 ),
    inference(resolution,[],[f478,f628]) ).

fof(f628,plain,
    ( ~ c3_1(a576)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f626]) ).

fof(f1788,plain,
    ( spl0_156
    | spl0_157
    | ~ spl0_47
    | ~ spl0_179 ),
    inference(avatar_split_clause,[],[f1784,f1345,f462,f1047,f1042]) ).

fof(f1042,plain,
    ( spl0_156
  <=> c3_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1047,plain,
    ( spl0_157
  <=> c1_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f462,plain,
    ( spl0_47
  <=> ! [X38] :
        ( ~ c0_1(X38)
        | c1_1(X38)
        | c3_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1345,plain,
    ( spl0_179
  <=> c0_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_179])]) ).

fof(f1784,plain,
    ( c1_1(a463)
    | c3_1(a463)
    | ~ spl0_47
    | ~ spl0_179 ),
    inference(resolution,[],[f463,f1346]) ).

fof(f1346,plain,
    ( c0_1(a463)
    | ~ spl0_179 ),
    inference(avatar_component_clause,[],[f1345]) ).

fof(f463,plain,
    ( ! [X38] :
        ( ~ c0_1(X38)
        | c1_1(X38)
        | c3_1(X38) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1787,plain,
    ( spl0_181
    | spl0_159
    | ~ spl0_47
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1783,f1068,f462,f1058,f1375]) ).

fof(f1375,plain,
    ( spl0_181
  <=> c3_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1058,plain,
    ( spl0_159
  <=> c1_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1068,plain,
    ( spl0_161
  <=> c0_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f1783,plain,
    ( c1_1(a462)
    | c3_1(a462)
    | ~ spl0_47
    | ~ spl0_161 ),
    inference(resolution,[],[f463,f1070]) ).

fof(f1070,plain,
    ( c0_1(a462)
    | ~ spl0_161 ),
    inference(avatar_component_clause,[],[f1068]) ).

fof(f1726,plain,
    ( ~ spl0_118
    | ~ spl0_119
    | ~ spl0_26
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1714,f1548,f365,f844,f839]) ).

fof(f839,plain,
    ( spl0_118
  <=> c2_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f844,plain,
    ( spl0_119
  <=> c1_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f365,plain,
    ( spl0_26
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1548,plain,
    ( spl0_184
  <=> c3_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f1714,plain,
    ( ~ c1_1(a483)
    | ~ c2_1(a483)
    | ~ spl0_26
    | ~ spl0_184 ),
    inference(resolution,[],[f366,f1550]) ).

fof(f1550,plain,
    ( c3_1(a483)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1548]) ).

fof(f366,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f365]) ).

fof(f1699,plain,
    ( ~ spl0_160
    | ~ spl0_161
    | ~ spl0_28
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1676,f1375,f373,f1068,f1063]) ).

fof(f1063,plain,
    ( spl0_160
  <=> c2_1(a462) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1676,plain,
    ( ~ c0_1(a462)
    | ~ c2_1(a462)
    | ~ spl0_28
    | ~ spl0_181 ),
    inference(resolution,[],[f374,f1377]) ).

fof(f1377,plain,
    ( c3_1(a462)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1375]) ).

fof(f1667,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_39
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1665,f1630,f425,f946,f956]) ).

fof(f425,plain,
    ( spl0_39
  <=> ! [X22] :
        ( ~ c1_1(X22)
        | c2_1(X22)
        | ~ c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1665,plain,
    ( c2_1(a471)
    | ~ c0_1(a471)
    | ~ spl0_39
    | ~ spl0_186 ),
    inference(resolution,[],[f1632,f426]) ).

fof(f426,plain,
    ( ! [X22] :
        ( ~ c1_1(X22)
        | c2_1(X22)
        | ~ c0_1(X22) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1652,plain,
    ( ~ spl0_83
    | spl0_81
    | ~ spl0_36
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1651,f1297,f410,f642,f652]) ).

fof(f410,plain,
    ( spl0_36
  <=> ! [X12] :
        ( ~ c2_1(X12)
        | c3_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1651,plain,
    ( c3_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_36
    | ~ spl0_176 ),
    inference(resolution,[],[f1298,f411]) ).

fof(f411,plain,
    ( ! [X12] :
        ( ~ c2_1(X12)
        | c3_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1298,plain,
    ( c2_1(a559)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1297]) ).

fof(f1633,plain,
    ( spl0_138
    | spl0_186
    | ~ spl0_49
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1623,f956,f472,f1630,f946]) ).

fof(f1623,plain,
    ( c1_1(a471)
    | c2_1(a471)
    | ~ spl0_49
    | ~ spl0_140 ),
    inference(resolution,[],[f473,f958]) ).

fof(f1628,plain,
    ( spl0_183
    | spl0_145
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1622,f988,f472,f983,f1511]) ).

fof(f1511,plain,
    ( spl0_183
  <=> c2_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f983,plain,
    ( spl0_145
  <=> c1_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f988,plain,
    ( spl0_146
  <=> c0_1(a467) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1622,plain,
    ( c1_1(a467)
    | c2_1(a467)
    | ~ spl0_49
    | ~ spl0_146 ),
    inference(resolution,[],[f473,f990]) ).

fof(f990,plain,
    ( c0_1(a467)
    | ~ spl0_146 ),
    inference(avatar_component_clause,[],[f988]) ).

fof(f1620,plain,
    ( spl0_123
    | spl0_165
    | ~ spl0_40
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1494,f876,f429,f1114,f866]) ).

fof(f1114,plain,
    ( spl0_165
  <=> c2_1(a481) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f429,plain,
    ( spl0_40
  <=> ! [X23] :
        ( ~ c1_1(X23)
        | c2_1(X23)
        | c3_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1494,plain,
    ( c2_1(a481)
    | c3_1(a481)
    | ~ spl0_40
    | ~ spl0_125 ),
    inference(resolution,[],[f430,f878]) ).

fof(f430,plain,
    ( ! [X23] :
        ( ~ c1_1(X23)
        | c2_1(X23)
        | c3_1(X23) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f429]) ).

fof(f1619,plain,
    ( ~ spl0_140
    | spl0_138
    | ~ spl0_38
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f1605,f951,f421,f946,f956]) ).

fof(f421,plain,
    ( spl0_38
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1605,plain,
    ( c2_1(a471)
    | ~ c0_1(a471)
    | ~ spl0_38
    | ~ spl0_139 ),
    inference(resolution,[],[f422,f953]) ).

fof(f953,plain,
    ( c3_1(a471)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f422,plain,
    ( ! [X20] :
        ( ~ c3_1(X20)
        | c2_1(X20)
        | ~ c0_1(X20) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f1561,plain,
    ( ~ spl0_70
    | spl0_164
    | ~ spl0_54
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1475,f588,f498,f1094,f583]) ).

fof(f498,plain,
    ( spl0_54
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | c0_1(X65)
        | ~ c1_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f588,plain,
    ( spl0_71
  <=> c1_1(a488) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1475,plain,
    ( c0_1(a488)
    | ~ c2_1(a488)
    | ~ spl0_54
    | ~ spl0_71 ),
    inference(resolution,[],[f499,f590]) ).

fof(f590,plain,
    ( c1_1(a488)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f588]) ).

fof(f499,plain,
    ( ! [X65] :
        ( ~ c1_1(X65)
        | c0_1(X65)
        | ~ c2_1(X65) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f498]) ).

fof(f1551,plain,
    ( spl0_184
    | spl0_117
    | ~ spl0_55
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1537,f839,f503,f834,f1548]) ).

fof(f834,plain,
    ( spl0_117
  <=> c0_1(a483) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f503,plain,
    ( spl0_55
  <=> ! [X68] :
        ( ~ c2_1(X68)
        | c0_1(X68)
        | c3_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1537,plain,
    ( c0_1(a483)
    | c3_1(a483)
    | ~ spl0_55
    | ~ spl0_118 ),
    inference(resolution,[],[f504,f841]) ).

fof(f841,plain,
    ( c2_1(a483)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f504,plain,
    ( ! [X68] :
        ( ~ c2_1(X68)
        | c0_1(X68)
        | c3_1(X68) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f1546,plain,
    ( spl0_129
    | spl0_130
    | ~ spl0_55
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1536,f908,f503,f903,f898]) ).

fof(f898,plain,
    ( spl0_129
  <=> c3_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f903,plain,
    ( spl0_130
  <=> c0_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f908,plain,
    ( spl0_131
  <=> c2_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1536,plain,
    ( c0_1(a478)
    | c3_1(a478)
    | ~ spl0_55
    | ~ spl0_131 ),
    inference(resolution,[],[f504,f910]) ).

fof(f910,plain,
    ( c2_1(a478)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f908]) ).

fof(f1545,plain,
    ( spl0_156
    | spl0_179
    | ~ spl0_55
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1533,f1052,f503,f1345,f1042]) ).

fof(f1052,plain,
    ( spl0_158
  <=> c2_1(a463) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1533,plain,
    ( c0_1(a463)
    | c3_1(a463)
    | ~ spl0_55
    | ~ spl0_158 ),
    inference(resolution,[],[f504,f1054]) ).

fof(f1054,plain,
    ( c2_1(a463)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1052]) ).

fof(f1514,plain,
    ( ~ spl0_183
    | spl0_145
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f1502,f988,f454,f983,f1511]) ).

fof(f454,plain,
    ( spl0_45
  <=> ! [X36] :
        ( ~ c2_1(X36)
        | c1_1(X36)
        | ~ c0_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1502,plain,
    ( c1_1(a467)
    | ~ c2_1(a467)
    | ~ spl0_45
    | ~ spl0_146 ),
    inference(resolution,[],[f455,f990]) ).

fof(f455,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | c1_1(X36)
        | ~ c2_1(X36) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f454]) ).

fof(f1509,plain,
    ( ~ spl0_160
    | spl0_159
    | ~ spl0_45
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f1501,f1068,f454,f1058,f1063]) ).

fof(f1501,plain,
    ( c1_1(a462)
    | ~ c2_1(a462)
    | ~ spl0_45
    | ~ spl0_161 ),
    inference(resolution,[],[f455,f1070]) ).

fof(f1478,plain,
    ( ~ spl0_118
    | spl0_117
    | ~ spl0_54
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f1470,f844,f498,f834,f839]) ).

fof(f1470,plain,
    ( c0_1(a483)
    | ~ c2_1(a483)
    | ~ spl0_54
    | ~ spl0_119 ),
    inference(resolution,[],[f499,f846]) ).

fof(f846,plain,
    ( c1_1(a483)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f844]) ).

fof(f1477,plain,
    ( ~ spl0_165
    | spl0_124
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1469,f876,f498,f871,f1114]) ).

fof(f1469,plain,
    ( c0_1(a481)
    | ~ c2_1(a481)
    | ~ spl0_54
    | ~ spl0_125 ),
    inference(resolution,[],[f499,f878]) ).

fof(f1466,plain,
    ( ~ spl0_71
    | spl0_164
    | ~ spl0_53
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1462,f578,f493,f1094,f588]) ).

fof(f1462,plain,
    ( c0_1(a488)
    | ~ c1_1(a488)
    | ~ spl0_53
    | ~ spl0_69 ),
    inference(resolution,[],[f494,f580]) ).

fof(f1465,plain,
    ( ~ spl0_86
    | spl0_84
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1461,f663,f493,f658,f668]) ).

fof(f668,plain,
    ( spl0_86
  <=> c1_1(a545) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1461,plain,
    ( c0_1(a545)
    | ~ c1_1(a545)
    | ~ spl0_53
    | ~ spl0_85 ),
    inference(resolution,[],[f494,f665]) ).

fof(f665,plain,
    ( c3_1(a545)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f663]) ).

fof(f1452,plain,
    ( ~ spl0_110
    | spl0_108
    | ~ spl0_52
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1445,f791,f486,f786,f796]) ).

fof(f796,plain,
    ( spl0_110
  <=> c2_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f786,plain,
    ( spl0_108
  <=> c0_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f486,plain,
    ( spl0_52
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | ~ c2_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f791,plain,
    ( spl0_109
  <=> c3_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f1445,plain,
    ( c0_1(a493)
    | ~ c2_1(a493)
    | ~ spl0_52
    | ~ spl0_109 ),
    inference(resolution,[],[f487,f793]) ).

fof(f793,plain,
    ( c3_1(a493)
    | ~ spl0_109 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f487,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c0_1(X53)
        | ~ c2_1(X53) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f1451,plain,
    ( ~ spl0_134
    | spl0_168
    | ~ spl0_52
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1443,f919,f486,f1146,f924]) ).

fof(f924,plain,
    ( spl0_134
  <=> c2_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f1146,plain,
    ( spl0_168
  <=> c0_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f919,plain,
    ( spl0_133
  <=> c3_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f1443,plain,
    ( c0_1(a477)
    | ~ c2_1(a477)
    | ~ spl0_52
    | ~ spl0_133 ),
    inference(resolution,[],[f487,f921]) ).

fof(f921,plain,
    ( c3_1(a477)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f1437,plain,
    ( ~ spl0_110
    | spl0_170
    | ~ spl0_51
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1428,f791,f481,f1163,f796]) ).

fof(f1163,plain,
    ( spl0_170
  <=> c1_1(a493) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f481,plain,
    ( spl0_51
  <=> ! [X49] :
        ( ~ c3_1(X49)
        | c1_1(X49)
        | ~ c2_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1428,plain,
    ( c1_1(a493)
    | ~ c2_1(a493)
    | ~ spl0_51
    | ~ spl0_109 ),
    inference(resolution,[],[f482,f793]) ).

fof(f482,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c1_1(X49)
        | ~ c2_1(X49) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f481]) ).

fof(f1435,plain,
    ( ~ spl0_134
    | spl0_132
    | ~ spl0_51
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1426,f919,f481,f914,f924]) ).

fof(f914,plain,
    ( spl0_132
  <=> c1_1(a477) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1426,plain,
    ( c1_1(a477)
    | ~ c2_1(a477)
    | ~ spl0_51
    | ~ spl0_133 ),
    inference(resolution,[],[f482,f921]) ).

fof(f1434,plain,
    ( ~ spl0_160
    | spl0_159
    | ~ spl0_51
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1424,f1375,f481,f1058,f1063]) ).

fof(f1424,plain,
    ( c1_1(a462)
    | ~ c2_1(a462)
    | ~ spl0_51
    | ~ spl0_181 ),
    inference(resolution,[],[f482,f1377]) ).

fof(f1417,plain,
    ( spl0_111
    | ~ spl0_48
    | ~ spl0_50
    | spl0_112 ),
    inference(avatar_split_clause,[],[f1405,f807,f477,f468,f802]) ).

fof(f802,plain,
    ( spl0_111
  <=> c2_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f468,plain,
    ( spl0_48
  <=> ! [X44] :
        ( ~ c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f807,plain,
    ( spl0_112
  <=> c1_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1405,plain,
    ( c2_1(a487)
    | ~ spl0_48
    | ~ spl0_50
    | spl0_112 ),
    inference(resolution,[],[f1394,f809]) ).

fof(f809,plain,
    ( ~ c1_1(a487)
    | spl0_112 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f1394,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(duplicate_literal_removal,[],[f1382]) ).

fof(f1382,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_48
    | ~ spl0_50 ),
    inference(resolution,[],[f478,f469]) ).

fof(f469,plain,
    ( ! [X44] :
        ( ~ c3_1(X44)
        | c1_1(X44)
        | c2_1(X44) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1378,plain,
    ( ~ spl0_161
    | spl0_181
    | ~ spl0_36
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f1373,f1063,f410,f1375,f1068]) ).

fof(f1373,plain,
    ( c3_1(a462)
    | ~ c0_1(a462)
    | ~ spl0_36
    | ~ spl0_160 ),
    inference(resolution,[],[f1065,f411]) ).

fof(f1065,plain,
    ( c2_1(a462)
    | ~ spl0_160 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1367,plain,
    ( spl0_102
    | spl0_103
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1362,f764,f429,f759,f754]) ).

fof(f754,plain,
    ( spl0_102
  <=> c3_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f759,plain,
    ( spl0_103
  <=> c2_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f764,plain,
    ( spl0_104
  <=> c1_1(a500) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1362,plain,
    ( c2_1(a500)
    | c3_1(a500)
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(resolution,[],[f430,f766]) ).

fof(f766,plain,
    ( c1_1(a500)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f764]) ).

fof(f1348,plain,
    ( ~ spl0_179
    | spl0_156
    | ~ spl0_36
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1343,f1052,f410,f1042,f1345]) ).

fof(f1343,plain,
    ( c3_1(a463)
    | ~ c0_1(a463)
    | ~ spl0_36
    | ~ spl0_158 ),
    inference(resolution,[],[f1054,f411]) ).

fof(f1301,plain,
    ( ~ spl0_176
    | ~ spl0_83
    | ~ spl0_30
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1294,f647,f383,f652,f1297]) ).

fof(f383,plain,
    ( spl0_30
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | ~ c0_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f647,plain,
    ( spl0_82
  <=> c1_1(a559) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f1294,plain,
    ( ~ c0_1(a559)
    | ~ c2_1(a559)
    | ~ spl0_30
    | ~ spl0_82 ),
    inference(resolution,[],[f649,f384]) ).

fof(f384,plain,
    ( ! [X4] :
        ( ~ c1_1(X4)
        | ~ c0_1(X4)
        | ~ c2_1(X4) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f383]) ).

fof(f649,plain,
    ( c1_1(a559)
    | ~ spl0_82 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f1295,plain,
    ( ~ spl0_83
    | spl0_81
    | ~ spl0_37
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f1292,f647,f415,f642,f652]) ).

fof(f1292,plain,
    ( c3_1(a559)
    | ~ c0_1(a559)
    | ~ spl0_37
    | ~ spl0_82 ),
    inference(resolution,[],[f649,f416]) ).

fof(f1281,plain,
    ( spl0_111
    | spl0_112
    | ~ spl0_49
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1278,f812,f472,f807,f802]) ).

fof(f812,plain,
    ( spl0_113
  <=> c0_1(a487) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1278,plain,
    ( c1_1(a487)
    | c2_1(a487)
    | ~ spl0_49
    | ~ spl0_113 ),
    inference(resolution,[],[f473,f814]) ).

fof(f814,plain,
    ( c0_1(a487)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f812]) ).

fof(f1268,plain,
    ( spl0_120
    | spl0_121
    | ~ spl0_48
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1259,f860,f468,f855,f850]) ).

fof(f1259,plain,
    ( c1_1(a482)
    | c2_1(a482)
    | ~ spl0_48
    | ~ spl0_122 ),
    inference(resolution,[],[f469,f862]) ).

fof(f862,plain,
    ( c3_1(a482)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f860]) ).

fof(f1253,plain,
    ( ~ spl0_131
    | spl0_129
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f1251,f1246,f406,f898,f908]) ).

fof(f406,plain,
    ( spl0_35
  <=> ! [X10] :
        ( ~ c2_1(X10)
        | c3_1(X10)
        | ~ c1_1(X10) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1246,plain,
    ( spl0_173
  <=> c1_1(a478) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f1251,plain,
    ( c3_1(a478)
    | ~ c2_1(a478)
    | ~ spl0_35
    | ~ spl0_173 ),
    inference(resolution,[],[f1248,f407]) ).

fof(f407,plain,
    ( ! [X10] :
        ( ~ c1_1(X10)
        | c3_1(X10)
        | ~ c2_1(X10) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f1248,plain,
    ( c1_1(a478)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1246]) ).

fof(f1249,plain,
    ( spl0_129
    | spl0_173
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1239,f908,f458,f1246,f898]) ).

fof(f458,plain,
    ( spl0_46
  <=> ! [X37] :
        ( ~ c2_1(X37)
        | c1_1(X37)
        | c3_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1239,plain,
    ( c1_1(a478)
    | c3_1(a478)
    | ~ spl0_46
    | ~ spl0_131 ),
    inference(resolution,[],[f459,f910]) ).

fof(f459,plain,
    ( ! [X37] :
        ( ~ c2_1(X37)
        | c1_1(X37)
        | c3_1(X37) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f1234,plain,
    ( ~ spl0_171
    | spl0_121
    | ~ spl0_43
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f1224,f860,f445,f855,f1174]) ).

fof(f445,plain,
    ( spl0_43
  <=> ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | ~ c0_1(X32) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f1224,plain,
    ( c1_1(a482)
    | ~ c0_1(a482)
    | ~ spl0_43
    | ~ spl0_122 ),
    inference(resolution,[],[f446,f862]) ).

fof(f446,plain,
    ( ! [X32] :
        ( ~ c3_1(X32)
        | c1_1(X32)
        | ~ c0_1(X32) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f445]) ).

fof(f1233,plain,
    ( ~ spl0_168
    | spl0_132
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1223,f919,f445,f914,f1146]) ).

fof(f1223,plain,
    ( c1_1(a477)
    | ~ c0_1(a477)
    | ~ spl0_43
    | ~ spl0_133 ),
    inference(resolution,[],[f446,f921]) ).

fof(f1166,plain,
    ( ~ spl0_110
    | ~ spl0_170
    | ~ spl0_26
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f1154,f791,f365,f1163,f796]) ).

fof(f1154,plain,
    ( ~ c1_1(a493)
    | ~ c2_1(a493)
    | ~ spl0_26
    | ~ spl0_109 ),
    inference(resolution,[],[f366,f793]) ).

fof(f1149,plain,
    ( ~ spl0_134
    | ~ spl0_168
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f1139,f919,f373,f1146,f924]) ).

fof(f1139,plain,
    ( ~ c0_1(a477)
    | ~ c2_1(a477)
    | ~ spl0_28
    | ~ spl0_133 ),
    inference(resolution,[],[f374,f921]) ).

fof(f1117,plain,
    ( ~ spl0_165
    | spl0_123
    | ~ spl0_35
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f1108,f876,f406,f866,f1114]) ).

fof(f1108,plain,
    ( c3_1(a481)
    | ~ c2_1(a481)
    | ~ spl0_35
    | ~ spl0_125 ),
    inference(resolution,[],[f407,f878]) ).

fof(f1107,plain,
    ( ~ spl0_163
    | ~ spl0_68
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1104,f567,f383,f572,f1084]) ).

fof(f572,plain,
    ( spl0_68
  <=> c0_1(a529) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1104,plain,
    ( ~ c0_1(a529)
    | ~ c2_1(a529)
    | ~ spl0_30
    | ~ spl0_67 ),
    inference(resolution,[],[f384,f569]) ).

fof(f1106,plain,
    ( ~ spl0_70
    | ~ spl0_164
    | ~ spl0_30
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1103,f588,f383,f1094,f583]) ).

fof(f1103,plain,
    ( ~ c0_1(a488)
    | ~ c2_1(a488)
    | ~ spl0_30
    | ~ spl0_71 ),
    inference(resolution,[],[f384,f590]) ).

fof(f1105,plain,
    ( ~ spl0_72
    | ~ spl0_74
    | ~ spl0_30
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1102,f599,f383,f604,f594]) ).

fof(f1102,plain,
    ( ~ c0_1(a474)
    | ~ c2_1(a474)
    | ~ spl0_30
    | ~ spl0_73 ),
    inference(resolution,[],[f384,f601]) ).

fof(f1082,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1075,f578,f365,f588,f583]) ).

fof(f1075,plain,
    ( ~ c1_1(a488)
    | ~ c2_1(a488)
    | ~ spl0_26
    | ~ spl0_69 ),
    inference(resolution,[],[f366,f580]) ).

fof(f1081,plain,
    ( ~ spl0_162
    | ~ spl0_86
    | ~ spl0_26
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1074,f663,f365,f668,f1078]) ).

fof(f1074,plain,
    ( ~ c1_1(a545)
    | ~ c2_1(a545)
    | ~ spl0_26
    | ~ spl0_85 ),
    inference(resolution,[],[f366,f665]) ).

fof(f1072,plain,
    ( ~ spl0_13
    | spl0_25 ),
    inference(avatar_split_clause,[],[f7,f361,f306]) ).

fof(f306,plain,
    ( spl0_13
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f361,plain,
    ( spl0_25
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f7,plain,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c0_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X8] :
          ( ~ c3_1(X8)
          | ~ c1_1(X8)
          | ~ c0_1(X8)
          | ~ ndr1_0 )
      | ! [X9] :
          ( ~ c2_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c2_1(X11)
          | ~ c1_1(X11)
          | ~ ndr1_0 )
      | ! [X12] :
          ( ~ c2_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c2_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c3_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ~ c1_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 ) )
    & ( ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | ~ c1_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | ~ c0_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c1_1(X19)
          | ~ c0_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c1_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c1_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ~ c1_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ~ c1_1(X25)
          | c3_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c2_1(X27)
          | ~ ndr1_0 ) )
    & ( ! [X28] :
          ( ~ c2_1(X28)
          | ~ c1_1(X28)
          | ~ c0_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( ~ c0_1(X29)
          | c3_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X30] :
          ( ~ c1_1(X30)
          | c3_1(X30)
          | c2_1(X30)
          | ~ ndr1_0 )
      | ! [X31] :
          ( ~ c0_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ~ c3_1(X32)
          | ~ c0_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X33] :
          ( ~ c2_1(X33)
          | ~ c1_1(X33)
          | ~ c0_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c0_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c0_1(X35)
          | c2_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c2_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ~ c2_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c0_1(X41)
          | c3_1(X41)
          | c1_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c1_1(X42)
          | c3_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ~ c0_1(X45)
          | c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ~ c0_1(X46)
          | c2_1(X46)
          | c1_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( c3_1(X48)
          | c2_1(X48)
          | c1_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( c3_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X51] :
          ( ~ c0_1(X51)
          | c3_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( c3_1(X52)
          | c2_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c2_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( ! [X55] :
          ( ~ c3_1(X55)
          | ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | ~ c0_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( ! [X58] :
          ( ~ c1_1(X58)
          | ~ c0_1(X58)
          | c3_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( c3_1(X59)
          | c2_1(X59)
          | c1_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c2_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X61] :
          ( ~ c3_1(X61)
          | ~ c2_1(X61)
          | ~ c1_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c3_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X63] :
          ( ~ c0_1(X63)
          | c2_1(X63)
          | c1_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c3_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ~ c2_1(X65)
          | ~ c1_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c0_1(X66)
          | c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ~ c2_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ~ c2_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c1_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c2_1(X71)
          | c3_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X72] :
          ( ~ c2_1(X72)
          | ~ c0_1(X72)
          | c1_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c1_1(X73)
          | c3_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c1_1(X74)
          | ~ c0_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c1_1(X76)
          | c3_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( ~ c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X82] :
          ( ~ c0_1(X82)
          | c2_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X84] :
          ( ~ c0_1(X84)
          | c2_1(X84)
          | c1_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ~ c1_1(X86)
          | c2_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X87] :
          ( ~ c1_1(X87)
          | c3_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c1_1(X88)
          | c2_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X90] :
          ( ~ c3_1(X90)
          | ~ c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( c3_1(X91)
          | c2_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( ! [X92] :
          ( ~ c1_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c1_1(X93)
          | c2_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c3_1(X94)
          | c2_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X95] :
          ( ~ c3_1(X95)
          | ~ c2_1(X95)
          | ~ c1_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X97] :
          ( ~ c1_1(X97)
          | c3_1(X97)
          | c2_1(X97)
          | ~ ndr1_0 )
      | ! [X98] :
          ( ~ c3_1(X98)
          | c1_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 ) )
    & ( ! [X99] :
          ( ~ c0_1(X99)
          | c3_1(X99)
          | c2_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c1_1(X100)
          | c2_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c0_1(X102)
          | c3_1(X102)
          | c2_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c3_1(X103)
          | ~ c2_1(X103)
          | c1_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( ! [X105] :
          ( ~ c3_1(X105)
          | ~ c0_1(X105)
          | c1_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c3_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X108] :
          ( ~ c1_1(X108)
          | c2_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c1_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 ) )
    & ( ! [X110] :
          ( ~ c1_1(X110)
          | c3_1(X110)
          | c2_1(X110)
          | ~ ndr1_0 )
      | ! [X111] :
          ( ~ c1_1(X111)
          | c2_1(X111)
          | c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( c2_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X115] :
          ( ~ c2_1(X115)
          | ~ c0_1(X115)
          | c3_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c2_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp13
      | hskp1
      | hskp22 )
    & ( hskp23
      | hskp3
      | hskp5 )
    & ( hskp27
      | hskp8
      | hskp7 )
    & ( hskp9
      | hskp12
      | hskp11 )
    & ( hskp25
      | hskp14
      | hskp0 )
    & ( hskp10
      | hskp30
      | hskp0 )
    & ( hskp23
      | hskp2
      | hskp26 )
    & ( hskp13
      | hskp16
      | hskp26 )
    & ( hskp10
      | hskp19
      | hskp31 )
    & ( hskp3
      | hskp12
      | hskp29 )
    & ( hskp9
      | hskp15
      | hskp29 )
    & ( hskp17
      | hskp8
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp3
      | hskp25
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c0_1(X1) ) ) )
    & ( hskp25
      | hskp14
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp10
      | hskp24
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp4
      | hskp6
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp13
      | hskp8
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp10
      | hskp14
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp4
      | hskp18
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp31
      | ! [X8] :
          ( ndr1_0
         => ( ~ c3_1(X8)
            | ~ c1_1(X8)
            | ~ c0_1(X8) ) )
      | ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) ) )
    & ( hskp17
      | hskp18
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp7
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c2_1(X11)
            | ~ c1_1(X11) ) )
      | ! [X12] :
          ( ndr1_0
         => ( ~ c2_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) ) )
    & ( hskp31
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c2_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) ) )
    & ( hskp12
      | hskp30
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c3_1(X15) ) ) )
    & ( hskp8
      | hskp24
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) ) )
    & ( ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | ~ c1_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | ~ c0_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c1_1(X19)
            | ~ c0_1(X19)
            | c3_1(X19) ) ) )
    & ( hskp17
      | hskp5
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c2_1(X20) ) ) )
    & ( hskp29
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c1_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c1_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) ) )
    & ( hskp23
      | hskp9
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp22
      | hskp20
      | ! [X24] :
          ( ndr1_0
         => ( ~ c1_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) ) )
    & ( hskp9
      | hskp11
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | c3_1(X25)
            | c2_1(X25) ) ) )
    & ( hskp6
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | ~ c0_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c2_1(X27) ) ) )
    & ( ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c1_1(X28)
            | ~ c0_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( ~ c0_1(X29)
            | c3_1(X29)
            | c2_1(X29) ) ) )
    & ( hskp0
      | ! [X30] :
          ( ndr1_0
         => ( ~ c1_1(X30)
            | c3_1(X30)
            | c2_1(X30) ) )
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c3_1(X31)
            | c2_1(X31) ) ) )
    & ( hskp21
      | hskp17
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | ~ c0_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp18
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | ~ c1_1(X33)
            | ~ c0_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c0_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp12
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c0_1(X35)
            | c2_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) ) )
    & ( hskp21
      | hskp30
      | ! [X37] :
          ( ndr1_0
         => ( ~ c2_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp21
      | hskp20
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) ) )
    & ( hskp1
      | hskp18
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp2
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c0_1(X41)
            | c3_1(X41)
            | c1_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | c3_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | c2_1(X44)
            | c1_1(X44) ) ) )
    & ( hskp9
      | hskp17
      | ! [X45] :
          ( ndr1_0
         => ( ~ c0_1(X45)
            | c2_1(X45)
            | c1_1(X45) ) ) )
    & ( hskp19
      | hskp18
      | ! [X46] :
          ( ndr1_0
         => ( ~ c0_1(X46)
            | c2_1(X46)
            | c1_1(X46) ) ) )
    & ( hskp14
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( c3_1(X48)
            | c2_1(X48)
            | c1_1(X48) ) ) )
    & ( hskp2
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( c3_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) ) )
    & ( hskp16
      | ! [X51] :
          ( ndr1_0
         => ( ~ c0_1(X51)
            | c3_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( c3_1(X52)
            | c2_1(X52)
            | c1_1(X52) ) ) )
    & ( hskp6
      | hskp18
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp7
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c2_1(X54)
            | c0_1(X54) ) ) )
    & ( ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c1_1(X55)
            | ~ c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | ~ c0_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c0_1(X57) ) ) )
    & ( ! [X58] :
          ( ndr1_0
         => ( ~ c1_1(X58)
            | ~ c0_1(X58)
            | c3_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( c3_1(X59)
            | c2_1(X59)
            | c1_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c2_1(X60)
            | c0_1(X60) ) ) )
    & ( hskp16
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | ~ c2_1(X61)
            | ~ c1_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp5
      | ! [X63] :
          ( ndr1_0
         => ( ~ c0_1(X63)
            | c2_1(X63)
            | c1_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c3_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp1
      | hskp30
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | ~ c1_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c0_1(X66)
            | c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp16
      | hskp7
      | ! [X68] :
          ( ndr1_0
         => ( ~ c2_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp1
      | hskp15
      | ! [X69] :
          ( ndr1_0
         => ( ~ c2_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp14
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c1_1(X70)
            | c0_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | c3_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp13
      | ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c0_1(X72)
            | c1_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c1_1(X73)
            | c3_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | ~ c0_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c1_1(X76)
            | c3_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp12
      | hskp5
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp11
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | ~ c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp10
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c1_1(X80)
            | c2_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp9
      | ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c2_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp29
      | ! [X84] :
          ( ndr1_0
         => ( ~ c0_1(X84)
            | c2_1(X84)
            | c1_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | c0_1(X85) ) ) )
    & ( hskp0
      | hskp29
      | ! [X86] :
          ( ndr1_0
         => ( ~ c1_1(X86)
            | c2_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp6
      | ! [X87] :
          ( ndr1_0
         => ( ~ c1_1(X87)
            | c3_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c1_1(X88)
            | c2_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp8
      | hskp7
      | ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp6
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | ~ c1_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( c3_1(X91)
            | c2_1(X91)
            | c0_1(X91) ) ) )
    & ( ! [X92] :
          ( ndr1_0
         => ( ~ c1_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | c2_1(X93)
            | c0_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | c2_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp28
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | ~ c2_1(X95)
            | ~ c1_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp5
      | ! [X97] :
          ( ndr1_0
         => ( ~ c1_1(X97)
            | c3_1(X97)
            | c2_1(X97) ) )
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | c1_1(X98)
            | c0_1(X98) ) ) )
    & ( ! [X99] :
          ( ndr1_0
         => ( ~ c0_1(X99)
            | c3_1(X99)
            | c2_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c1_1(X100)
            | c2_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c0_1(X102)
            | c3_1(X102)
            | c2_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c3_1(X103)
            | ~ c2_1(X103)
            | c1_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( ! [X105] :
          ( ndr1_0
         => ( ~ c3_1(X105)
            | ~ c0_1(X105)
            | c1_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c3_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( hskp5
      | ! [X108] :
          ( ndr1_0
         => ( ~ c1_1(X108)
            | c2_1(X108)
            | c0_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c1_1(X109)
            | c0_1(X109) ) ) )
    & ( ! [X110] :
          ( ndr1_0
         => ( ~ c1_1(X110)
            | c3_1(X110)
            | c2_1(X110) ) )
      | ! [X111] :
          ( ndr1_0
         => ( ~ c1_1(X111)
            | c2_1(X111)
            | c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) ) )
    & ( hskp4
      | hskp3
      | ! [X113] :
          ( ndr1_0
         => ( c2_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp0
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | ~ c0_1(X115)
            | c3_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c2_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( ( c3_1(a529)
        & c1_1(a529)
        & c0_1(a529)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a488)
        & c2_1(a488)
        & c1_1(a488)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a474)
        & c1_1(a474)
        & c0_1(a474)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a469)
        & c2_1(a469)
        & c0_1(a469)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a576)
        & ~ c2_1(a576)
        & ~ c1_1(a576)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a559)
        & c1_1(a559)
        & c0_1(a559)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a545)
        & c3_1(a545)
        & c1_1(a545)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a525)
        & c1_1(a525)
        & c0_1(a525)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a521)
        & ~ c2_1(a521)
        & ~ c0_1(a521)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a519)
        & ~ c0_1(a519)
        & c1_1(a519)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c1_1(a507)
        & ~ c0_1(a507)
        & c2_1(a507)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a506)
        & c2_1(a506)
        & c1_1(a506)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a500)
        & ~ c2_1(a500)
        & c1_1(a500)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a494)
        & ~ c2_1(a494)
        & c0_1(a494)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c0_1(a493)
        & c3_1(a493)
        & c2_1(a493)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a487)
        & ~ c1_1(a487)
        & c0_1(a487)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a484)
        & c2_1(a484)
        & c0_1(a484)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a483)
        & c2_1(a483)
        & c1_1(a483)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a482)
        & ~ c1_1(a482)
        & c3_1(a482)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a481)
        & ~ c0_1(a481)
        & c1_1(a481)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a479)
        & c3_1(a479)
        & c0_1(a479)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a478)
        & ~ c0_1(a478)
        & c2_1(a478)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a477)
        & c3_1(a477)
        & c2_1(a477)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a472)
        & c3_1(a472)
        & c1_1(a472)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a471)
        & c3_1(a471)
        & c0_1(a471)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c2_1(a470)
        & ~ c1_1(a470)
        & ~ c0_1(a470)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a467)
        & ~ c1_1(a467)
        & c0_1(a467)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a466)
        & ~ c1_1(a466)
        & ~ c0_1(a466)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c1_1(a465)
        & ~ c0_1(a465)
        & c3_1(a465)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c2_1(a464)
        & ~ c0_1(a464)
        & c3_1(a464)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a463)
        & ~ c1_1(a463)
        & c2_1(a463)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a462)
        & c2_1(a462)
        & c0_1(a462)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp23
          | hskp3
          | hskp5 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( hskp25
          | hskp14
          | hskp0 )
        & ( hskp10
          | hskp30
          | hskp0 )
        & ( hskp23
          | hskp2
          | hskp26 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp10
          | hskp19
          | hskp31 )
        & ( hskp3
          | hskp12
          | hskp29 )
        & ( hskp9
          | hskp15
          | hskp29 )
        & ( hskp17
          | hskp8
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp3
          | hskp25
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c0_1(X1) ) ) )
        & ( hskp25
          | hskp14
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp10
          | hskp24
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp4
          | hskp6
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp13
          | hskp8
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp10
          | hskp14
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp4
          | hskp18
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp31
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c1_1(X8)
                | ~ c0_1(X8) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) ) )
        & ( hskp17
          | hskp18
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp7
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c2_1(X11)
                | ~ c1_1(X11) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) ) )
        & ( hskp31
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) ) )
        & ( hskp12
          | hskp30
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c3_1(X15) ) ) )
        & ( hskp8
          | hskp24
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c1_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | ~ c0_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | ~ c0_1(X19)
                | c3_1(X19) ) ) )
        & ( hskp17
          | hskp5
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c2_1(X20) ) ) )
        & ( hskp29
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c1_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) ) )
        & ( hskp23
          | hskp9
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp22
          | hskp20
          | ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) ) )
        & ( hskp9
          | hskp11
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c3_1(X25)
                | c2_1(X25) ) ) )
        & ( hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c2_1(X27) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c1_1(X28)
                | ~ c0_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) ) )
        & ( hskp0
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) ) )
        & ( hskp21
          | hskp17
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c0_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp18
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | ~ c1_1(X33)
                | ~ c0_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c0_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp12
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c0_1(X35)
                | c2_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) ) )
        & ( hskp21
          | hskp30
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp21
          | hskp20
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) ) )
        & ( hskp1
          | hskp18
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp2
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c0_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | c3_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | c2_1(X44)
                | c1_1(X44) ) ) )
        & ( hskp9
          | hskp17
          | ! [X45] :
              ( ndr1_0
             => ( ~ c0_1(X45)
                | c2_1(X45)
                | c1_1(X45) ) ) )
        & ( hskp19
          | hskp18
          | ! [X46] :
              ( ndr1_0
             => ( ~ c0_1(X46)
                | c2_1(X46)
                | c1_1(X46) ) ) )
        & ( hskp14
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( c3_1(X48)
                | c2_1(X48)
                | c1_1(X48) ) ) )
        & ( hskp2
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c3_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) ) )
        & ( hskp16
          | ! [X51] :
              ( ndr1_0
             => ( ~ c0_1(X51)
                | c3_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | c1_1(X52) ) ) )
        & ( hskp6
          | hskp18
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp7
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c2_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | ~ c0_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c0_1(X57) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c3_1(X59)
                | c2_1(X59)
                | c1_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c2_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp16
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | ~ c1_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp5
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c2_1(X63)
                | c1_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp1
          | hskp30
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp16
          | hskp7
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp1
          | hskp15
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp14
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | c3_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp13
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c1_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c1_1(X73)
                | c3_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | ~ c0_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c1_1(X76)
                | c3_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp12
          | hskp5
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp11
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | ~ c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp10
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c1_1(X80)
                | c2_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp9
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp29
          | ! [X84] :
              ( ndr1_0
             => ( ~ c0_1(X84)
                | c2_1(X84)
                | c1_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( hskp0
          | hskp29
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c2_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp6
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | c2_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp8
          | hskp7
          | ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( c3_1(X91)
                | c2_1(X91)
                | c0_1(X91) ) ) )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c2_1(X93)
                | c0_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | c2_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp28
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c1_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | c3_1(X97)
                | c2_1(X97) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | c1_1(X98)
                | c0_1(X98) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c0_1(X99)
                | c3_1(X99)
                | c2_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | c2_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c0_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c2_1(X103)
                | c1_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c3_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( hskp5
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | c2_1(X108)
                | c0_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c1_1(X109)
                | c0_1(X109) ) ) )
        & ( ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | c2_1(X111)
                | c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) ) )
        & ( hskp4
          | hskp3
          | ! [X113] :
              ( ndr1_0
             => ( c2_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp2
          | hskp1
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp0
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c0_1(X115)
                | c3_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c2_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( ( c3_1(a529)
            & c1_1(a529)
            & c0_1(a529)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a488)
            & c2_1(a488)
            & c1_1(a488)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a469)
            & c2_1(a469)
            & c0_1(a469)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a576)
            & ~ c2_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & c1_1(a559)
            & c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a525)
            & c1_1(a525)
            & c0_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a519)
            & ~ c0_1(a519)
            & c1_1(a519)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c2_1(a507)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a506)
            & c2_1(a506)
            & c1_1(a506)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a500)
            & ~ c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & c0_1(a494)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a493)
            & c3_1(a493)
            & c2_1(a493)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a487)
            & ~ c1_1(a487)
            & c0_1(a487)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a484)
            & c2_1(a484)
            & c0_1(a484)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a483)
            & c2_1(a483)
            & c1_1(a483)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a482)
            & ~ c1_1(a482)
            & c3_1(a482)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & c1_1(a481)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a479)
            & c3_1(a479)
            & c0_1(a479)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a477)
            & c3_1(a477)
            & c2_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c1_1(a472)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a471)
            & c3_1(a471)
            & c0_1(a471)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a470)
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a466)
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a464)
            & ~ c0_1(a464)
            & c3_1(a464)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a463)
            & ~ c1_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a462)
            & c2_1(a462)
            & c0_1(a462)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp13
          | hskp1
          | hskp22 )
        & ( hskp23
          | hskp3
          | hskp5 )
        & ( hskp27
          | hskp8
          | hskp7 )
        & ( hskp9
          | hskp12
          | hskp11 )
        & ( hskp25
          | hskp14
          | hskp0 )
        & ( hskp10
          | hskp30
          | hskp0 )
        & ( hskp23
          | hskp2
          | hskp26 )
        & ( hskp13
          | hskp16
          | hskp26 )
        & ( hskp10
          | hskp19
          | hskp31 )
        & ( hskp3
          | hskp12
          | hskp29 )
        & ( hskp9
          | hskp15
          | hskp29 )
        & ( hskp17
          | hskp8
          | ! [X116] :
              ( ndr1_0
             => ( ~ c3_1(X116)
                | ~ c2_1(X116)
                | ~ c1_1(X116) ) ) )
        & ( hskp3
          | hskp25
          | ! [X115] :
              ( ndr1_0
             => ( ~ c3_1(X115)
                | ~ c2_1(X115)
                | ~ c0_1(X115) ) ) )
        & ( hskp25
          | hskp14
          | ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c2_1(X114)
                | ~ c0_1(X114) ) ) )
        & ( hskp10
          | hskp24
          | ! [X113] :
              ( ndr1_0
             => ( ~ c3_1(X113)
                | ~ c2_1(X113)
                | ~ c0_1(X113) ) ) )
        & ( hskp4
          | hskp6
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | ~ c1_1(X112)
                | ~ c0_1(X112) ) ) )
        & ( hskp13
          | hskp8
          | ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c1_1(X111)
                | ~ c0_1(X111) ) ) )
        & ( hskp10
          | hskp14
          | ! [X110] :
              ( ndr1_0
             => ( ~ c2_1(X110)
                | ~ c1_1(X110)
                | ~ c0_1(X110) ) ) )
        & ( hskp4
          | hskp18
          | ! [X109] :
              ( ndr1_0
             => ( ~ c2_1(X109)
                | ~ c1_1(X109)
                | ~ c0_1(X109) ) ) )
        & ( hskp31
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c1_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c2_1(X107)
                | ~ c1_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( hskp17
          | hskp18
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c1_1(X106)
                | c3_1(X106) ) ) )
        & ( hskp7
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c2_1(X105)
                | ~ c1_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | ~ c0_1(X104)
                | c3_1(X104) ) ) )
        & ( hskp31
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( hskp12
          | hskp30
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) ) )
        & ( hskp8
          | hskp24
          | ! [X100] :
              ( ndr1_0
             => ( ~ c1_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | ~ c1_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c0_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c3_1(X97) ) ) )
        & ( hskp17
          | hskp5
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) ) )
        & ( hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c1_1(X95)
                | c3_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | ~ c0_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp23
          | hskp9
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp22
          | hskp20
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp9
          | hskp11
          | ! [X91] :
              ( ndr1_0
             => ( ~ c1_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) ) )
        & ( hskp6
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | ~ c2_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c0_1(X89)
                | c3_1(X89)
                | c2_1(X89) ) ) )
        & ( ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | ~ c1_1(X88)
                | ~ c0_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c0_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp0
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | c3_1(X86)
                | c2_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp21
          | hskp17
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp18
          | ! [X83] :
              ( ndr1_0
             => ( ~ c2_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp12
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c0_1(X81)
                | c2_1(X81) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp21
          | hskp30
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) ) )
        & ( hskp21
          | hskp20
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c3_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp1
          | hskp18
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp2
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | ~ c0_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp9
          | hskp17
          | ! [X71] :
              ( ndr1_0
             => ( ~ c0_1(X71)
                | c2_1(X71)
                | c1_1(X71) ) ) )
        & ( hskp19
          | hskp18
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c2_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp14
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c3_1(X68)
                | c2_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp2
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c2_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( c3_1(X66)
                | c2_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp16
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c3_1(X65)
                | c1_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( c3_1(X64)
                | c2_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp6
          | hskp18
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp17
          | hskp7
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c2_1(X62)
                | c0_1(X62) ) ) )
        & ( ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | ~ c0_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | ~ c0_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c2_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c1_1(X58)
                | ~ c0_1(X58)
                | c3_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c3_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c2_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp16
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp5
          | ! [X53] :
              ( ndr1_0
             => ( ~ c0_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp1
          | hskp30
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | ~ c1_1(X51)
                | c0_1(X51) ) ) )
        & ( ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c1_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp16
          | hskp7
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp1
          | hskp15
          | ! [X47] :
              ( ndr1_0
             => ( ~ c2_1(X47)
                | c3_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp14
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c1_1(X46)
                | c0_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c2_1(X45)
                | c3_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp13
          | ! [X44] :
              ( ndr1_0
             => ( ~ c2_1(X44)
                | ~ c0_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | c3_1(X41)
                | c1_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c1_1(X40)
                | c3_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp12
          | hskp5
          | ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | c2_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp11
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c1_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( hskp10
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c1_1(X36)
                | c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c0_1(X35) ) ) )
        & ( hskp9
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c2_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp29
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c2_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp0
          | hskp29
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp6
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c2_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c1_1(X28)
                | c2_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp8
          | hskp7
          | ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c2_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp6
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c1_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c1_1(X24)
                | c3_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp28
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp5
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c2_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c0_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c2_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c1_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( hskp5
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | c3_1(X6)
                | c2_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c2_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c3_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp4
          | hskp3
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( hskp2
          | hskp1
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c0_1(X1)
                | c3_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a529)
            & c1_1(a529)
            & c0_1(a529)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a488)
            & c2_1(a488)
            & c1_1(a488)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a474)
            & c1_1(a474)
            & c0_1(a474)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a469)
            & c2_1(a469)
            & c0_1(a469)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a576)
            & ~ c2_1(a576)
            & ~ c1_1(a576)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a559)
            & c1_1(a559)
            & c0_1(a559)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a545)
            & c3_1(a545)
            & c1_1(a545)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a525)
            & c1_1(a525)
            & c0_1(a525)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a521)
            & ~ c2_1(a521)
            & ~ c0_1(a521)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a519)
            & ~ c0_1(a519)
            & c1_1(a519)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c1_1(a507)
            & ~ c0_1(a507)
            & c2_1(a507)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a506)
            & c2_1(a506)
            & c1_1(a506)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a500)
            & ~ c2_1(a500)
            & c1_1(a500)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a494)
            & ~ c2_1(a494)
            & c0_1(a494)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c0_1(a493)
            & c3_1(a493)
            & c2_1(a493)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a487)
            & ~ c1_1(a487)
            & c0_1(a487)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a484)
            & c2_1(a484)
            & c0_1(a484)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a483)
            & c2_1(a483)
            & c1_1(a483)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a482)
            & ~ c1_1(a482)
            & c3_1(a482)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a481)
            & ~ c0_1(a481)
            & c1_1(a481)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a479)
            & c3_1(a479)
            & c0_1(a479)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a478)
            & ~ c0_1(a478)
            & c2_1(a478)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a477)
            & c3_1(a477)
            & c2_1(a477)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a472)
            & c3_1(a472)
            & c1_1(a472)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a471)
            & c3_1(a471)
            & c0_1(a471)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c2_1(a470)
            & ~ c1_1(a470)
            & ~ c0_1(a470)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a467)
            & ~ c1_1(a467)
            & c0_1(a467)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a466)
            & ~ c1_1(a466)
            & ~ c0_1(a466)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c1_1(a465)
            & ~ c0_1(a465)
            & c3_1(a465)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c2_1(a464)
            & ~ c0_1(a464)
            & c3_1(a464)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a463)
            & ~ c1_1(a463)
            & c2_1(a463)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a462)
            & c2_1(a462)
            & c0_1(a462)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp13
        | hskp1
        | hskp22 )
      & ( hskp23
        | hskp3
        | hskp5 )
      & ( hskp27
        | hskp8
        | hskp7 )
      & ( hskp9
        | hskp12
        | hskp11 )
      & ( hskp25
        | hskp14
        | hskp0 )
      & ( hskp10
        | hskp30
        | hskp0 )
      & ( hskp23
        | hskp2
        | hskp26 )
      & ( hskp13
        | hskp16
        | hskp26 )
      & ( hskp10
        | hskp19
        | hskp31 )
      & ( hskp3
        | hskp12
        | hskp29 )
      & ( hskp9
        | hskp15
        | hskp29 )
      & ( hskp17
        | hskp8
        | ! [X116] :
            ( ndr1_0
           => ( ~ c3_1(X116)
              | ~ c2_1(X116)
              | ~ c1_1(X116) ) ) )
      & ( hskp3
        | hskp25
        | ! [X115] :
            ( ndr1_0
           => ( ~ c3_1(X115)
              | ~ c2_1(X115)
              | ~ c0_1(X115) ) ) )
      & ( hskp25
        | hskp14
        | ! [X114] :
            ( ndr1_0
           => ( ~ c3_1(X114)
              | ~ c2_1(X114)
              | ~ c0_1(X114) ) ) )
      & ( hskp10
        | hskp24
        | ! [X113] :
            ( ndr1_0
           => ( ~ c3_1(X113)
              | ~ c2_1(X113)
              | ~ c0_1(X113) ) ) )
      & ( hskp4
        | hskp6
        | ! [X112] :
            ( ndr1_0
           => ( ~ c2_1(X112)
              | ~ c1_1(X112)
              | ~ c0_1(X112) ) ) )
      & ( hskp13
        | hskp8
        | ! [X111] :
            ( ndr1_0
           => ( ~ c2_1(X111)
              | ~ c1_1(X111)
              | ~ c0_1(X111) ) ) )
      & ( hskp10
        | hskp14
        | ! [X110] :
            ( ndr1_0
           => ( ~ c2_1(X110)
              | ~ c1_1(X110)
              | ~ c0_1(X110) ) ) )
      & ( hskp4
        | hskp18
        | ! [X109] :
            ( ndr1_0
           => ( ~ c2_1(X109)
              | ~ c1_1(X109)
              | ~ c0_1(X109) ) ) )
      & ( hskp31
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c1_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c2_1(X107)
              | ~ c1_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( hskp17
        | hskp18
        | ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c1_1(X106)
              | c3_1(X106) ) ) )
      & ( hskp7
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c2_1(X105)
              | ~ c1_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c2_1(X104)
              | ~ c0_1(X104)
              | c3_1(X104) ) ) )
      & ( hskp31
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) )
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( hskp12
        | hskp30
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) ) )
      & ( hskp8
        | hskp24
        | ! [X100] :
            ( ndr1_0
           => ( ~ c1_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | ~ c1_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c2_1(X98)
              | ~ c0_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c3_1(X97) ) ) )
      & ( hskp17
        | hskp5
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) ) )
      & ( hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c1_1(X95)
              | c3_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | ~ c0_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp23
        | hskp9
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp22
        | hskp20
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp9
        | hskp11
        | ! [X91] :
            ( ndr1_0
           => ( ~ c1_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) ) )
      & ( hskp6
        | ! [X90] :
            ( ndr1_0
           => ( ~ c3_1(X90)
              | ~ c2_1(X90)
              | ~ c0_1(X90) ) )
        | ! [X89] :
            ( ndr1_0
           => ( ~ c0_1(X89)
              | c3_1(X89)
              | c2_1(X89) ) ) )
      & ( ! [X88] :
            ( ndr1_0
           => ( ~ c2_1(X88)
              | ~ c1_1(X88)
              | ~ c0_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c0_1(X87)
              | c3_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp0
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | c3_1(X86)
              | c2_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c0_1(X85)
              | c3_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp21
        | hskp17
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp18
        | ! [X83] :
            ( ndr1_0
           => ( ~ c2_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c3_1(X82)
              | ~ c0_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp12
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c0_1(X81)
              | c2_1(X81) ) )
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp21
        | hskp30
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) ) )
      & ( hskp21
        | hskp20
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c3_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp1
        | hskp18
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp2
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | ~ c0_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( ~ c0_1(X75)
              | c3_1(X75)
              | c1_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c1_1(X74)
              | c3_1(X74)
              | c2_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp9
        | hskp17
        | ! [X71] :
            ( ndr1_0
           => ( ~ c0_1(X71)
              | c2_1(X71)
              | c1_1(X71) ) ) )
      & ( hskp19
        | hskp18
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c2_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp14
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c3_1(X68)
              | c2_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp2
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c2_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( c3_1(X66)
              | c2_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp16
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c3_1(X65)
              | c1_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( c3_1(X64)
              | c2_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp6
        | hskp18
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c2_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp17
        | hskp7
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c2_1(X62)
              | c0_1(X62) ) ) )
      & ( ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | ~ c0_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | ~ c0_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c2_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c1_1(X58)
              | ~ c0_1(X58)
              | c3_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c3_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c3_1(X56)
              | ~ c2_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp16
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c1_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp5
        | ! [X53] :
            ( ndr1_0
           => ( ~ c0_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp1
        | hskp30
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | ~ c1_1(X51)
              | c0_1(X51) ) ) )
      & ( ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c2_1(X50)
              | c1_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | ~ c1_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp16
        | hskp7
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp1
        | hskp15
        | ! [X47] :
            ( ndr1_0
           => ( ~ c2_1(X47)
              | c3_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp14
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c1_1(X46)
              | c0_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c2_1(X45)
              | c3_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp13
        | ! [X44] :
            ( ndr1_0
           => ( ~ c2_1(X44)
              | ~ c0_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( ! [X42] :
            ( ndr1_0
           => ( ~ c1_1(X42)
              | ~ c0_1(X42)
              | c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c2_1(X41)
              | c3_1(X41)
              | c1_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c1_1(X40)
              | c3_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp12
        | hskp5
        | ! [X39] :
            ( ndr1_0
           => ( ~ c3_1(X39)
              | c2_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp11
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c1_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( hskp10
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c1_1(X36)
              | c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c0_1(X35) ) ) )
      & ( hskp9
        | ! [X34] :
            ( ndr1_0
           => ( ~ c0_1(X34)
              | c2_1(X34)
              | c1_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c2_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp29
        | ! [X32] :
            ( ndr1_0
           => ( ~ c0_1(X32)
              | c2_1(X32)
              | c1_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c2_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp0
        | hskp29
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp6
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c2_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c1_1(X28)
              | c2_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp8
        | hskp7
        | ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c2_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp6
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c1_1(X26)
              | ~ c0_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( ~ c1_1(X24)
              | c3_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c1_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp28
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp5
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c3_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c0_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c1_1(X16)
              | c2_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c0_1(X14)
              | c3_1(X14)
              | c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | ~ c2_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c0_1(X11)
              | c1_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( hskp5
        | ! [X8] :
            ( ndr1_0
           => ( ~ c1_1(X8)
              | c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c1_1(X6)
              | c3_1(X6)
              | c2_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c2_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c3_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp4
        | hskp3
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( hskp2
        | hskp1
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | ~ c0_1(X1)
              | c3_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a529)
          & c1_1(a529)
          & c0_1(a529)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a488)
          & c2_1(a488)
          & c1_1(a488)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a474)
          & c1_1(a474)
          & c0_1(a474)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a469)
          & c2_1(a469)
          & c0_1(a469)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a576)
          & ~ c2_1(a576)
          & ~ c1_1(a576)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a559)
          & c1_1(a559)
          & c0_1(a559)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a545)
          & c3_1(a545)
          & c1_1(a545)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a525)
          & c1_1(a525)
          & c0_1(a525)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a521)
          & ~ c2_1(a521)
          & ~ c0_1(a521)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a519)
          & ~ c0_1(a519)
          & c1_1(a519)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c1_1(a507)
          & ~ c0_1(a507)
          & c2_1(a507)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a506)
          & c2_1(a506)
          & c1_1(a506)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a500)
          & ~ c2_1(a500)
          & c1_1(a500)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a494)
          & ~ c2_1(a494)
          & c0_1(a494)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c0_1(a493)
          & c3_1(a493)
          & c2_1(a493)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a487)
          & ~ c1_1(a487)
          & c0_1(a487)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a484)
          & c2_1(a484)
          & c0_1(a484)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a483)
          & c2_1(a483)
          & c1_1(a483)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a482)
          & ~ c1_1(a482)
          & c3_1(a482)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a481)
          & ~ c0_1(a481)
          & c1_1(a481)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a479)
          & c3_1(a479)
          & c0_1(a479)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a478)
          & ~ c0_1(a478)
          & c2_1(a478)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a477)
          & c3_1(a477)
          & c2_1(a477)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a472)
          & c3_1(a472)
          & c1_1(a472)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a471)
          & c3_1(a471)
          & c0_1(a471)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c2_1(a470)
          & ~ c1_1(a470)
          & ~ c0_1(a470)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a467)
          & ~ c1_1(a467)
          & c0_1(a467)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a466)
          & ~ c1_1(a466)
          & ~ c0_1(a466)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c1_1(a465)
          & ~ c0_1(a465)
          & c3_1(a465)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c2_1(a464)
          & ~ c0_1(a464)
          & c3_1(a464)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a463)
          & ~ c1_1(a463)
          & c2_1(a463)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a462)
          & c2_1(a462)
          & c0_1(a462)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.WdiCdQFCBy/Vampire---4.8_9682',co1) ).

fof(f1071,plain,
    ( ~ spl0_13
    | spl0_161 ),
    inference(avatar_split_clause,[],[f8,f1068,f306]) ).

fof(f8,plain,
    ( c0_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1066,plain,
    ( ~ spl0_13
    | spl0_160 ),
    inference(avatar_split_clause,[],[f9,f1063,f306]) ).

fof(f9,plain,
    ( c2_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1061,plain,
    ( ~ spl0_13
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f10,f1058,f306]) ).

fof(f10,plain,
    ( ~ c1_1(a462)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1055,plain,
    ( ~ spl0_2
    | spl0_158 ),
    inference(avatar_split_clause,[],[f12,f1052,f258]) ).

fof(f258,plain,
    ( spl0_2
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f12,plain,
    ( c2_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1050,plain,
    ( ~ spl0_2
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f13,f1047,f258]) ).

fof(f13,plain,
    ( ~ c1_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1045,plain,
    ( ~ spl0_2
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f14,f1042,f258]) ).

fof(f14,plain,
    ( ~ c3_1(a463)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1039,plain,
    ( ~ spl0_19
    | spl0_155 ),
    inference(avatar_split_clause,[],[f16,f1036,f332]) ).

fof(f332,plain,
    ( spl0_19
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f16,plain,
    ( c3_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1034,plain,
    ( ~ spl0_19
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f17,f1031,f332]) ).

fof(f17,plain,
    ( ~ c0_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1029,plain,
    ( ~ spl0_19
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f18,f1026,f332]) ).

fof(f18,plain,
    ( ~ c2_1(a464)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f991,plain,
    ( ~ spl0_4
    | spl0_146 ),
    inference(avatar_split_clause,[],[f28,f988,f267]) ).

fof(f267,plain,
    ( spl0_4
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f28,plain,
    ( c0_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f986,plain,
    ( ~ spl0_4
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f29,f983,f267]) ).

fof(f29,plain,
    ( ~ c1_1(a467)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f975,plain,
    ( ~ spl0_31
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f32,f972,f386]) ).

fof(f386,plain,
    ( spl0_31
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f32,plain,
    ( ~ c0_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_31
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f33,f967,f386]) ).

fof(f33,plain,
    ( ~ c1_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f965,plain,
    ( ~ spl0_31
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f34,f962,f386]) ).

fof(f34,plain,
    ( ~ c2_1(a470)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f959,plain,
    ( ~ spl0_7
    | spl0_140 ),
    inference(avatar_split_clause,[],[f36,f956,f280]) ).

fof(f280,plain,
    ( spl0_7
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f36,plain,
    ( c0_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f954,plain,
    ( ~ spl0_7
    | spl0_139 ),
    inference(avatar_split_clause,[],[f37,f951,f280]) ).

fof(f37,plain,
    ( c3_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_7
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f38,f946,f280]) ).

fof(f38,plain,
    ( ~ c2_1(a471)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f943,plain,
    ( ~ spl0_8
    | spl0_137 ),
    inference(avatar_split_clause,[],[f40,f940,f284]) ).

fof(f284,plain,
    ( spl0_8
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f40,plain,
    ( c1_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_8
    | spl0_136 ),
    inference(avatar_split_clause,[],[f41,f935,f284]) ).

fof(f41,plain,
    ( c3_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_8
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f42,f930,f284]) ).

fof(f42,plain,
    ( ~ c2_1(a472)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f927,plain,
    ( ~ spl0_12
    | spl0_134 ),
    inference(avatar_split_clause,[],[f44,f924,f301]) ).

fof(f301,plain,
    ( spl0_12
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f44,plain,
    ( c2_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_12
    | spl0_133 ),
    inference(avatar_split_clause,[],[f45,f919,f301]) ).

fof(f45,plain,
    ( c3_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_12
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f46,f914,f301]) ).

fof(f46,plain,
    ( ~ c1_1(a477)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_17
    | spl0_25 ),
    inference(avatar_split_clause,[],[f47,f361,f323]) ).

fof(f323,plain,
    ( spl0_17
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f47,plain,
    ( ndr1_0
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f911,plain,
    ( ~ spl0_17
    | spl0_131 ),
    inference(avatar_split_clause,[],[f48,f908,f323]) ).

fof(f48,plain,
    ( c2_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f906,plain,
    ( ~ spl0_17
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f49,f903,f323]) ).

fof(f49,plain,
    ( ~ c0_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f901,plain,
    ( ~ spl0_17
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f50,f898,f323]) ).

fof(f50,plain,
    ( ~ c3_1(a478)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f879,plain,
    ( ~ spl0_11
    | spl0_125 ),
    inference(avatar_split_clause,[],[f56,f876,f297]) ).

fof(f297,plain,
    ( spl0_11
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f56,plain,
    ( c1_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_11
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f57,f871,f297]) ).

fof(f57,plain,
    ( ~ c0_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_11
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f58,f866,f297]) ).

fof(f58,plain,
    ( ~ c3_1(a481)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f863,plain,
    ( ~ spl0_3
    | spl0_122 ),
    inference(avatar_split_clause,[],[f60,f860,f262]) ).

fof(f262,plain,
    ( spl0_3
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f60,plain,
    ( c3_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_3
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f61,f855,f262]) ).

fof(f61,plain,
    ( ~ c1_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_3
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f62,f850,f262]) ).

fof(f62,plain,
    ( ~ c2_1(a482)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f847,plain,
    ( ~ spl0_14
    | spl0_119 ),
    inference(avatar_split_clause,[],[f64,f844,f310]) ).

fof(f310,plain,
    ( spl0_14
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f64,plain,
    ( c1_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_14
    | spl0_118 ),
    inference(avatar_split_clause,[],[f65,f839,f310]) ).

fof(f65,plain,
    ( c2_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_14
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f66,f834,f310]) ).

fof(f66,plain,
    ( ~ c0_1(a483)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f815,plain,
    ( ~ spl0_20
    | spl0_113 ),
    inference(avatar_split_clause,[],[f72,f812,f337]) ).

fof(f337,plain,
    ( spl0_20
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f72,plain,
    ( c0_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_20
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f73,f807,f337]) ).

fof(f73,plain,
    ( ~ c1_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_20
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f74,f802,f337]) ).

fof(f74,plain,
    ( ~ c2_1(a487)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f799,plain,
    ( ~ spl0_27
    | spl0_110 ),
    inference(avatar_split_clause,[],[f76,f796,f368]) ).

fof(f368,plain,
    ( spl0_27
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f76,plain,
    ( c2_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_27
    | spl0_109 ),
    inference(avatar_split_clause,[],[f77,f791,f368]) ).

fof(f77,plain,
    ( c3_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_27
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f78,f786,f368]) ).

fof(f78,plain,
    ( ~ c0_1(a493)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f783,plain,
    ( ~ spl0_33
    | spl0_107 ),
    inference(avatar_split_clause,[],[f80,f780,f397]) ).

fof(f397,plain,
    ( spl0_33
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f80,plain,
    ( c0_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f778,plain,
    ( ~ spl0_33
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f81,f775,f397]) ).

fof(f81,plain,
    ( ~ c2_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f773,plain,
    ( ~ spl0_33
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f82,f770,f397]) ).

fof(f82,plain,
    ( ~ c3_1(a494)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f767,plain,
    ( ~ spl0_22
    | spl0_104 ),
    inference(avatar_split_clause,[],[f84,f764,f346]) ).

fof(f346,plain,
    ( spl0_22
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f84,plain,
    ( c1_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_22
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f85,f759,f346]) ).

fof(f85,plain,
    ( ~ c2_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f757,plain,
    ( ~ spl0_22
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f754,f346]) ).

fof(f86,plain,
    ( ~ c3_1(a500)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f687,plain,
    ( ~ spl0_29
    | spl0_89 ),
    inference(avatar_split_clause,[],[f104,f684,f378]) ).

fof(f378,plain,
    ( spl0_29
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f104,plain,
    ( c0_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_29
    | spl0_88 ),
    inference(avatar_split_clause,[],[f105,f679,f378]) ).

fof(f105,plain,
    ( c1_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_29
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f674,f378]) ).

fof(f106,plain,
    ( ~ c2_1(a525)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f671,plain,
    ( ~ spl0_15
    | spl0_86 ),
    inference(avatar_split_clause,[],[f108,f668,f314]) ).

fof(f314,plain,
    ( spl0_15
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f108,plain,
    ( c1_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_15
    | spl0_85 ),
    inference(avatar_split_clause,[],[f109,f663,f314]) ).

fof(f109,plain,
    ( c3_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_15
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f658,f314]) ).

fof(f110,plain,
    ( ~ c0_1(a545)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f655,plain,
    ( ~ spl0_18
    | spl0_83 ),
    inference(avatar_split_clause,[],[f112,f652,f328]) ).

fof(f328,plain,
    ( spl0_18
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f112,plain,
    ( c0_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_18
    | spl0_82 ),
    inference(avatar_split_clause,[],[f113,f647,f328]) ).

fof(f113,plain,
    ( c1_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_18
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f114,f642,f328]) ).

fof(f114,plain,
    ( ~ c3_1(a559)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_9
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f116,f636,f288]) ).

fof(f288,plain,
    ( spl0_9
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f116,plain,
    ( ~ c1_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( ~ spl0_9
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f117,f631,f288]) ).

fof(f117,plain,
    ( ~ c2_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f629,plain,
    ( ~ spl0_9
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f118,f626,f288]) ).

fof(f118,plain,
    ( ~ c3_1(a576)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f607,plain,
    ( ~ spl0_23
    | spl0_74 ),
    inference(avatar_split_clause,[],[f124,f604,f351]) ).

fof(f351,plain,
    ( spl0_23
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f124,plain,
    ( c0_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_23
    | spl0_73 ),
    inference(avatar_split_clause,[],[f125,f599,f351]) ).

fof(f125,plain,
    ( c1_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_23
    | spl0_72 ),
    inference(avatar_split_clause,[],[f126,f594,f351]) ).

fof(f126,plain,
    ( c2_1(a474)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_16
    | spl0_25 ),
    inference(avatar_split_clause,[],[f127,f361,f319]) ).

fof(f319,plain,
    ( spl0_16
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f127,plain,
    ( ndr1_0
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_16
    | spl0_71 ),
    inference(avatar_split_clause,[],[f128,f588,f319]) ).

fof(f128,plain,
    ( c1_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_16
    | spl0_70 ),
    inference(avatar_split_clause,[],[f129,f583,f319]) ).

fof(f129,plain,
    ( c2_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f130,f578,f319]) ).

fof(f130,plain,
    ( c3_1(a488)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f575,plain,
    ( ~ spl0_21
    | spl0_68 ),
    inference(avatar_split_clause,[],[f132,f572,f342]) ).

fof(f342,plain,
    ( spl0_21
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f132,plain,
    ( c0_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_21
    | spl0_67 ),
    inference(avatar_split_clause,[],[f133,f567,f342]) ).

fof(f133,plain,
    ( c1_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_21
    | spl0_66 ),
    inference(avatar_split_clause,[],[f134,f562,f342]) ).

fof(f134,plain,
    ( c3_1(a529)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f523,plain,
    ( spl0_57
    | ~ spl0_25
    | spl0_49
    | spl0_23 ),
    inference(avatar_split_clause,[],[f226,f351,f472,f361,f514]) ).

fof(f226,plain,
    ! [X84,X85] :
      ( hskp29
      | ~ c0_1(X84)
      | c2_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X84,X85] :
      ( hskp29
      | ~ c0_1(X84)
      | c2_1(X84)
      | c1_1(X84)
      | ~ ndr1_0
      | ~ c3_1(X85)
      | c2_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f522,plain,
    ( spl0_57
    | ~ spl0_25
    | spl0_49
    | spl0_12 ),
    inference(avatar_split_clause,[],[f227,f301,f472,f361,f514]) ).

fof(f227,plain,
    ! [X82,X83] :
      ( hskp9
      | ~ c0_1(X82)
      | c2_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X82,X83] :
      ( hskp9
      | ~ c0_1(X82)
      | c2_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( spl0_57
    | ~ spl0_25
    | spl0_58
    | spl0_17 ),
    inference(avatar_split_clause,[],[f228,f323,f519,f361,f514]) ).

fof(f228,plain,
    ! [X80,X81] :
      ( hskp10
      | ~ c3_1(X80)
      | ~ c1_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X80,X81] :
      ( hskp10
      | ~ c3_1(X80)
      | ~ c1_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | ~ c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( ~ spl0_25
    | spl0_57
    | spl0_4
    | spl0_11 ),
    inference(avatar_split_clause,[],[f154,f297,f267,f514,f361]) ).

fof(f154,plain,
    ! [X77] :
      ( hskp12
      | hskp5
      | ~ c3_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f512,plain,
    ( spl0_56
    | spl0_46
    | ~ spl0_25
    | spl0_39 ),
    inference(avatar_split_clause,[],[f230,f425,f361,f458,f509]) ).

fof(f230,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c1_1(X75)
      | ~ c1_1(X76)
      | c3_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X76,X74,X75] :
      ( ~ c1_1(X74)
      | ~ c0_1(X74)
      | c2_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | c3_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | ~ c1_1(X76)
      | c3_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( spl0_56
    | ~ spl0_25
    | spl0_45
    | spl0_3 ),
    inference(avatar_split_clause,[],[f231,f262,f454,f361,f509]) ).

fof(f231,plain,
    ! [X72,X73] :
      ( hskp13
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c3_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X72,X73] :
      ( hskp13
      | ~ c2_1(X72)
      | ~ c0_1(X72)
      | c1_1(X72)
      | ~ ndr1_0
      | ~ c1_1(X73)
      | c3_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f507,plain,
    ( spl0_55
    | ~ spl0_25
    | spl0_53
    | spl0_14 ),
    inference(avatar_split_clause,[],[f232,f310,f493,f361,f503]) ).

fof(f232,plain,
    ! [X70,X71] :
      ( hskp14
      | ~ c3_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | c3_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X70,X71] :
      ( hskp14
      | ~ c3_1(X70)
      | ~ c1_1(X70)
      | c0_1(X70)
      | ~ ndr1_0
      | ~ c2_1(X71)
      | c3_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( ~ spl0_25
    | spl0_55
    | spl0_7
    | spl0_20 ),
    inference(avatar_split_clause,[],[f159,f337,f280,f503,f361]) ).

fof(f159,plain,
    ! [X68] :
      ( hskp16
      | hskp7
      | ~ c2_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( spl0_54
    | ~ spl0_25
    | spl0_49 ),
    inference(avatar_split_clause,[],[f233,f472,f361,f498]) ).

fof(f233,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X66,X67] :
      ( ~ c0_1(X66)
      | c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( ~ spl0_25
    | spl0_54
    | spl0_16
    | spl0_2 ),
    inference(avatar_split_clause,[],[f161,f258,f319,f498,f361]) ).

fof(f161,plain,
    ! [X65] :
      ( hskp1
      | hskp30
      | ~ c2_1(X65)
      | ~ c1_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_53
    | ~ spl0_25
    | spl0_26
    | spl0_20 ),
    inference(avatar_split_clause,[],[f235,f337,f365,f361,f493]) ).

fof(f235,plain,
    ! [X62,X61] :
      ( hskp16
      | ~ c3_1(X61)
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X62,X61] :
      ( hskp16
      | ~ c3_1(X61)
      | ~ c2_1(X61)
      | ~ c1_1(X61)
      | ~ ndr1_0
      | ~ c3_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f490,plain,
    ( spl0_52
    | spl0_30
    | ~ spl0_25
    | spl0_34 ),
    inference(avatar_split_clause,[],[f237,f402,f361,f383,f486]) ).

fof(f237,plain,
    ! [X56,X57,X55] :
      ( ~ c3_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X56,X57,X55] :
      ( ~ c3_1(X55)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ ndr1_0
      | ~ c2_1(X56)
      | ~ c1_1(X56)
      | ~ c0_1(X56)
      | ~ ndr1_0
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( ~ spl0_25
    | spl0_52
    | spl0_7
    | spl0_27 ),
    inference(avatar_split_clause,[],[f166,f368,f280,f486,f361]) ).

fof(f166,plain,
    ! [X54] :
      ( hskp17
      | hskp7
      | ~ c3_1(X54)
      | ~ c2_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( ~ spl0_25
    | spl0_52
    | spl0_33
    | spl0_31 ),
    inference(avatar_split_clause,[],[f167,f386,f397,f486,f361]) ).

fof(f167,plain,
    ! [X53] :
      ( hskp6
      | hskp18
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f484,plain,
    ( spl0_50
    | ~ spl0_25
    | spl0_47
    | spl0_20 ),
    inference(avatar_split_clause,[],[f238,f337,f462,f361,f477]) ).

fof(f238,plain,
    ! [X51,X52] :
      ( hskp16
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X51,X52] :
      ( hskp16
      | ~ c0_1(X51)
      | c3_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | c3_1(X52)
      | c2_1(X52)
      | c1_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f483,plain,
    ( spl0_50
    | ~ spl0_25
    | spl0_51
    | spl0_19 ),
    inference(avatar_split_clause,[],[f239,f332,f481,f361,f477]) ).

fof(f239,plain,
    ! [X50,X49] :
      ( hskp2
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X50,X49] :
      ( hskp2
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | c3_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_50
    | ~ spl0_25
    | spl0_40
    | spl0_14 ),
    inference(avatar_split_clause,[],[f240,f310,f429,f361,f477]) ).

fof(f240,plain,
    ! [X48,X47] :
      ( hskp14
      | ~ c1_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | c3_1(X48)
      | c2_1(X48)
      | c1_1(X48) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X48,X47] :
      ( hskp14
      | ~ c1_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | c3_1(X48)
      | c2_1(X48)
      | c1_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( ~ spl0_25
    | spl0_49
    | spl0_33
    | spl0_22 ),
    inference(avatar_split_clause,[],[f171,f346,f397,f472,f361]) ).

fof(f171,plain,
    ! [X46] :
      ( hskp19
      | hskp18
      | ~ c0_1(X46)
      | c2_1(X46)
      | c1_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( ~ spl0_25
    | spl0_49
    | spl0_27
    | spl0_12 ),
    inference(avatar_split_clause,[],[f172,f301,f368,f472,f361]) ).

fof(f172,plain,
    ! [X45] :
      ( hskp9
      | hskp17
      | ~ c0_1(X45)
      | c2_1(X45)
      | c1_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( spl0_48
    | spl0_43
    | ~ spl0_25
    | spl0_40 ),
    inference(avatar_split_clause,[],[f241,f429,f361,f445,f468]) ).

fof(f241,plain,
    ! [X44,X42,X43] :
      ( ~ c1_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ c3_1(X44)
      | c2_1(X44)
      | c1_1(X44) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X44,X42,X43] :
      ( ~ c1_1(X42)
      | c3_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | ~ c3_1(X44)
      | c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_47
    | ~ spl0_25
    | spl0_34
    | spl0_19 ),
    inference(avatar_split_clause,[],[f242,f332,f402,f361,f462]) ).

fof(f242,plain,
    ! [X40,X41] :
      ( hskp2
      | ~ c3_1(X40)
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X40,X41] :
      ( hskp2
      | ~ c3_1(X40)
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0
      | ~ c0_1(X41)
      | c3_1(X41)
      | c1_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( spl0_45
    | ~ spl0_25
    | spl0_38
    | spl0_11 ),
    inference(avatar_split_clause,[],[f243,f297,f421,f361,f454]) ).

fof(f243,plain,
    ! [X36,X35] :
      ( hskp12
      | ~ c3_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X36,X35] :
      ( hskp12
      | ~ c3_1(X35)
      | ~ c0_1(X35)
      | c2_1(X35)
      | ~ ndr1_0
      | ~ c2_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_43
    | ~ spl0_25
    | spl0_30
    | spl0_33 ),
    inference(avatar_split_clause,[],[f244,f397,f383,f361,f445]) ).

fof(f244,plain,
    ! [X34,X33] :
      ( hskp18
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f179]) ).

fof(f179,plain,
    ! [X34,X33] :
      ( hskp18
      | ~ c2_1(X33)
      | ~ c1_1(X33)
      | ~ c0_1(X33)
      | ~ ndr1_0
      | ~ c3_1(X34)
      | ~ c0_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( spl0_42
    | ~ spl0_25
    | spl0_40
    | spl0_13 ),
    inference(avatar_split_clause,[],[f245,f306,f429,f361,f439]) ).

fof(f245,plain,
    ! [X31,X30] :
      ( hskp0
      | ~ c1_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c2_1(X31) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X31,X30] :
      ( hskp0
      | ~ c1_1(X30)
      | c3_1(X30)
      | c2_1(X30)
      | ~ ndr1_0
      | ~ c0_1(X31)
      | c3_1(X31)
      | c2_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f442,plain,
    ( spl0_42
    | ~ spl0_25
    | spl0_30 ),
    inference(avatar_split_clause,[],[f246,f383,f361,f439]) ).

fof(f246,plain,
    ! [X28,X29] :
      ( ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c2_1(X29) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X28,X29] :
      ( ~ c2_1(X28)
      | ~ c1_1(X28)
      | ~ c0_1(X28)
      | ~ ndr1_0
      | ~ c0_1(X29)
      | c3_1(X29)
      | c2_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f441,plain,
    ( spl0_42
    | ~ spl0_25
    | spl0_28
    | spl0_31 ),
    inference(avatar_split_clause,[],[f247,f386,f373,f361,f439]) ).

fof(f247,plain,
    ! [X26,X27] :
      ( hskp6
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | c3_1(X27)
      | c2_1(X27) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X26,X27] :
      ( hskp6
      | ~ c3_1(X26)
      | ~ c2_1(X26)
      | ~ c0_1(X26)
      | ~ ndr1_0
      | ~ c0_1(X27)
      | c3_1(X27)
      | c2_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( spl0_39
    | ~ spl0_25
    | spl0_35
    | spl0_23 ),
    inference(avatar_split_clause,[],[f248,f351,f406,f361,f425]) ).

fof(f248,plain,
    ! [X21,X22] :
      ( hskp29
      | ~ c2_1(X21)
      | ~ c1_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22) ),
    inference(duplicate_literal_removal,[],[f187]) ).

fof(f187,plain,
    ! [X21,X22] :
      ( hskp29
      | ~ c2_1(X21)
      | ~ c1_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c1_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( ~ spl0_25
    | spl0_38
    | spl0_4
    | spl0_27 ),
    inference(avatar_split_clause,[],[f188,f368,f267,f421,f361]) ).

fof(f188,plain,
    ! [X20] :
      ( hskp17
      | hskp5
      | ~ c3_1(X20)
      | ~ c0_1(X20)
      | c2_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_25
    | spl0_37
    | spl0_29
    | spl0_8 ),
    inference(avatar_split_clause,[],[f190,f284,f378,f415,f361]) ).

fof(f190,plain,
    ! [X16] :
      ( hskp8
      | hskp24
      | ~ c1_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_25
    | spl0_37
    | spl0_16
    | spl0_11 ),
    inference(avatar_split_clause,[],[f191,f297,f319,f415,f361]) ).

fof(f191,plain,
    ! [X15] :
      ( hskp12
      | hskp30
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c3_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( spl0_36
    | ~ spl0_25
    | spl0_26
    | spl0_7 ),
    inference(avatar_split_clause,[],[f251,f280,f365,f361,f410]) ).

fof(f251,plain,
    ! [X11,X12] :
      ( hskp7
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12) ),
    inference(duplicate_literal_removal,[],[f193]) ).

fof(f193,plain,
    ! [X11,X12] :
      ( hskp7
      | ~ c3_1(X11)
      | ~ c2_1(X11)
      | ~ c1_1(X11)
      | ~ ndr1_0
      | ~ c2_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( ~ spl0_25
    | spl0_35
    | spl0_33
    | spl0_27 ),
    inference(avatar_split_clause,[],[f194,f368,f397,f406,f361]) ).

fof(f194,plain,
    ! [X10] :
      ( hskp17
      | hskp18
      | ~ c2_1(X10)
      | ~ c1_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f395,plain,
    ( ~ spl0_25
    | spl0_30
    | spl0_14
    | spl0_17 ),
    inference(avatar_split_clause,[],[f197,f323,f310,f383,f361]) ).

fof(f197,plain,
    ! [X6] :
      ( hskp10
      | hskp14
      | ~ c2_1(X6)
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f381,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_29
    | spl0_17 ),
    inference(avatar_split_clause,[],[f200,f323,f378,f373,f361]) ).

fof(f200,plain,
    ! [X3] :
      ( hskp10
      | hskp24
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f376,plain,
    ( ~ spl0_25
    | spl0_28
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f201,f314,f310,f373,f361]) ).

fof(f201,plain,
    ! [X2] :
      ( hskp25
      | hskp14
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f371,plain,
    ( ~ spl0_25
    | spl0_26
    | spl0_8
    | spl0_27 ),
    inference(avatar_split_clause,[],[f203,f368,f284,f365,f361]) ).

fof(f203,plain,
    ! [X0] :
      ( hskp17
      | hskp8
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f349,plain,
    ( spl0_21
    | spl0_22
    | spl0_17 ),
    inference(avatar_split_clause,[],[f206,f323,f346,f342]) ).

fof(f206,plain,
    ( hskp10
    | hskp19
    | hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( spl0_18
    | spl0_20
    | spl0_3 ),
    inference(avatar_split_clause,[],[f207,f262,f337,f328]) ).

fof(f207,plain,
    ( hskp13
    | hskp16
    | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f326,plain,
    ( spl0_13
    | spl0_16
    | spl0_17 ),
    inference(avatar_split_clause,[],[f209,f323,f319,f306]) ).

fof(f209,plain,
    ( hskp10
    | hskp30
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( spl0_13
    | spl0_14
    | spl0_15 ),
    inference(avatar_split_clause,[],[f210,f314,f310,f306]) ).

fof(f210,plain,
    ( hskp25
    | hskp14
    | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f291,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f212,f288,f284,f280]) ).

fof(f212,plain,
    ( hskp27
    | hskp8
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14  % Problem    : SYN505+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.16  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.16/0.37  % Computer : n004.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit   : 300
% 0.16/0.37  % WCLimit    : 300
% 0.16/0.37  % DateTime   : Tue Apr 30 17:15:48 EDT 2024
% 0.16/0.37  % CPUTime    : 
% 0.16/0.37  This is a FOF_THM_EPR_NEQ problem
% 0.16/0.37  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/tmp/tmp.WdiCdQFCBy/Vampire---4.8_9682
% 0.56/0.76  % (9949)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 (2996ds/83Mi)
% 0.56/0.76  % (9943)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 (2996ds/34Mi)
% 0.56/0.76  % (9945)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2996ds/78Mi)
% 0.56/0.76  % (9944)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 (2996ds/51Mi)
% 0.56/0.76  % (9948)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2996ds/45Mi)
% 0.56/0.76  % (9946)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2996ds/33Mi)
% 0.56/0.76  % (9950)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 (2996ds/56Mi)
% 0.56/0.77  % (9947)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 (2996ds/34Mi)
% 0.61/0.78  % (9943)Instruction limit reached!
% 0.61/0.78  % (9943)------------------------------
% 0.61/0.78  % (9943)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (9943)Termination reason: Unknown
% 0.61/0.78  % (9943)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (9943)Memory used [KB]: 2057
% 0.61/0.78  % (9943)Time elapsed: 0.021 s
% 0.61/0.78  % (9943)Instructions burned: 34 (million)
% 0.61/0.78  % (9943)------------------------------
% 0.61/0.78  % (9943)------------------------------
% 0.61/0.78  % (9946)Instruction limit reached!
% 0.61/0.78  % (9946)------------------------------
% 0.61/0.78  % (9946)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.78  % (9946)Termination reason: Unknown
% 0.61/0.78  % (9946)Termination phase: Saturation
% 0.61/0.78  
% 0.61/0.78  % (9946)Memory used [KB]: 2315
% 0.61/0.78  % (9946)Time elapsed: 0.022 s
% 0.61/0.78  % (9946)Instructions burned: 34 (million)
% 0.61/0.78  % (9946)------------------------------
% 0.61/0.78  % (9946)------------------------------
% 0.61/0.78  % (9944)First to succeed.
% 0.61/0.79  % (9951)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 (2996ds/55Mi)
% 0.61/0.79  % (9948)Instruction limit reached!
% 0.61/0.79  % (9948)------------------------------
% 0.61/0.79  % (9948)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (9948)Termination reason: Unknown
% 0.61/0.79  % (9948)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (9948)Memory used [KB]: 2351
% 0.61/0.79  % (9948)Time elapsed: 0.027 s
% 0.61/0.79  % (9948)Instructions burned: 45 (million)
% 0.61/0.79  % (9948)------------------------------
% 0.61/0.79  % (9948)------------------------------
% 0.61/0.79  % (9952)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 (2996ds/50Mi)
% 0.61/0.79  % (9949)Instruction limit reached!
% 0.61/0.79  % (9949)------------------------------
% 0.61/0.79  % (9949)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (9949)Termination reason: Unknown
% 0.61/0.79  % (9949)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (9949)Memory used [KB]: 3484
% 0.61/0.79  % (9949)Time elapsed: 0.029 s
% 0.61/0.79  % (9949)Instructions burned: 84 (million)
% 0.61/0.79  % (9949)------------------------------
% 0.61/0.79  % (9949)------------------------------
% 0.61/0.79  % (9947)Instruction limit reached!
% 0.61/0.79  % (9947)------------------------------
% 0.61/0.79  % (9947)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (9947)Termination reason: Unknown
% 0.61/0.79  % (9947)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (9947)Memory used [KB]: 2223
% 0.61/0.79  % (9947)Time elapsed: 0.021 s
% 0.61/0.79  % (9947)Instructions burned: 35 (million)
% 0.61/0.79  % (9947)------------------------------
% 0.61/0.79  % (9947)------------------------------
% 0.61/0.79  % (9954)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 (2996ds/52Mi)
% 0.61/0.79  % (9953)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 (2996ds/208Mi)
% 0.61/0.79  % (9950)Instruction limit reached!
% 0.61/0.79  % (9950)------------------------------
% 0.61/0.79  % (9950)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.79  % (9950)Termination reason: Unknown
% 0.61/0.79  % (9950)Termination phase: Saturation
% 0.61/0.79  
% 0.61/0.79  % (9950)Memory used [KB]: 2520
% 0.61/0.79  % (9950)Time elapsed: 0.034 s
% 0.61/0.79  % (9950)Instructions burned: 57 (million)
% 0.61/0.79  % (9950)------------------------------
% 0.61/0.79  % (9950)------------------------------
% 0.61/0.79  % (9955)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)
% 0.61/0.80  % (9944)Refutation found. Thanks to Tanya!
% 0.61/0.80  % SZS status Theorem for Vampire---4
% 0.61/0.80  % SZS output start Proof for Vampire---4
% See solution above
% 0.61/0.80  % (9944)------------------------------
% 0.61/0.80  % (9944)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.61/0.80  % (9944)Termination reason: Refutation
% 0.61/0.80  
% 0.61/0.80  % (9944)Memory used [KB]: 1937
% 0.61/0.80  % (9944)Time elapsed: 0.036 s
% 0.61/0.80  % (9944)Instructions burned: 64 (million)
% 0.61/0.80  % (9944)------------------------------
% 0.61/0.80  % (9944)------------------------------
% 0.61/0.80  % (9939)Success in time 0.43 s
% 0.61/0.80  % Vampire---4.8 exiting
%------------------------------------------------------------------------------