TSTP Solution File: SYN487+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n023.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep  1 03:40:53 EDT 2023

% Result   : Theorem 0.22s 0.46s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  168
% Syntax   : Number of formulae    :  742 (   1 unt;   0 def)
%            Number of atoms       : 6491 (   0 equ)
%            Maximal formula atoms :  674 (   8 avg)
%            Number of connectives : 8559 (2810   ~;3982   |;1212   &)
%                                         ( 167 <=>; 388  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  205 ( 204 usr; 201 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  763 (; 763   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2011,plain,
    $false,
    inference(avatar_sat_refutation,[],[f254,f275,f285,f292,f299,f309,f310,f317,f327,f334,f342,f346,f350,f354,f358,f365,f369,f373,f377,f388,f389,f393,f397,f398,f399,f403,f404,f408,f413,f417,f418,f419,f427,f428,f432,f434,f437,f438,f445,f450,f451,f452,f453,f457,f464,f465,f466,f470,f474,f480,f482,f486,f487,f492,f493,f497,f498,f499,f500,f506,f510,f514,f521,f525,f529,f535,f539,f543,f549,f553,f557,f563,f567,f571,f577,f581,f585,f591,f595,f599,f604,f608,f612,f618,f622,f626,f631,f635,f639,f645,f649,f653,f658,f662,f666,f672,f676,f680,f686,f690,f694,f700,f704,f708,f713,f717,f721,f727,f731,f735,f740,f744,f748,f754,f758,f762,f768,f772,f776,f777,f782,f786,f790,f810,f814,f818,f823,f827,f831,f837,f841,f845,f851,f855,f859,f860,f878,f882,f886,f891,f895,f899,f905,f909,f913,f918,f922,f926,f932,f936,f940,f941,f950,f953,f965,f969,f995,f998,f1008,f1022,f1030,f1052,f1054,f1074,f1094,f1102,f1114,f1116,f1144,f1148,f1162,f1169,f1180,f1184,f1186,f1196,f1200,f1214,f1253,f1256,f1264,f1280,f1281,f1282,f1285,f1300,f1303,f1313,f1349,f1359,f1379,f1382,f1394,f1397,f1440,f1442,f1459,f1476,f1480,f1483,f1484,f1532,f1534,f1553,f1578,f1582,f1587,f1591,f1643,f1655,f1656,f1657,f1658,f1663,f1665,f1690,f1755,f1768,f1878,f1883,f1888,f1892,f1893,f1917,f1921,f1930,f1944,f1945,f1946,f1947,f1953,f1958,f2003,f2010]) ).

fof(f2010,plain,
    ( spl0_104
    | spl0_185
    | ~ spl0_63
    | spl0_103 ),
    inference(avatar_split_clause,[],[f1824,f684,f495,f1530,f688]) ).

fof(f688,plain,
    ( spl0_104
  <=> c1_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1530,plain,
    ( spl0_185
  <=> c0_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f495,plain,
    ( spl0_63
  <=> ! [X89] :
        ( c2_1(X89)
        | c0_1(X89)
        | c1_1(X89) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f684,plain,
    ( spl0_103
  <=> c2_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f1824,plain,
    ( c0_1(a2308)
    | c1_1(a2308)
    | ~ spl0_63
    | spl0_103 ),
    inference(resolution,[],[f496,f685]) ).

fof(f685,plain,
    ( ~ c2_1(a2308)
    | spl0_103 ),
    inference(avatar_component_clause,[],[f684]) ).

fof(f496,plain,
    ( ! [X89] :
        ( c2_1(X89)
        | c0_1(X89)
        | c1_1(X89) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f495]) ).

fof(f2003,plain,
    ( ~ spl0_105
    | spl0_103
    | ~ spl0_39
    | ~ spl0_185 ),
    inference(avatar_split_clause,[],[f1994,f1530,f375,f684,f692]) ).

fof(f692,plain,
    ( spl0_105
  <=> c3_1(a2308) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f375,plain,
    ( spl0_39
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1994,plain,
    ( c2_1(a2308)
    | ~ c3_1(a2308)
    | ~ spl0_39
    | ~ spl0_185 ),
    inference(resolution,[],[f376,f1531]) ).

fof(f1531,plain,
    ( c0_1(a2308)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1530]) ).

fof(f376,plain,
    ( ! [X12] :
        ( ~ c0_1(X12)
        | c2_1(X12)
        | ~ c3_1(X12) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f375]) ).

fof(f1958,plain,
    ( ~ spl0_123
    | spl0_121
    | ~ spl0_33
    | ~ spl0_166 ),
    inference(avatar_split_clause,[],[f1417,f1038,f352,f766,f774]) ).

fof(f774,plain,
    ( spl0_123
  <=> c0_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f766,plain,
    ( spl0_121
  <=> c3_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f352,plain,
    ( spl0_33
  <=> ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1038,plain,
    ( spl0_166
  <=> c2_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f1417,plain,
    ( c3_1(a2295)
    | ~ c0_1(a2295)
    | ~ spl0_33
    | ~ spl0_166 ),
    inference(resolution,[],[f1039,f353]) ).

fof(f353,plain,
    ( ! [X6] :
        ( ~ c2_1(X6)
        | c3_1(X6)
        | ~ c0_1(X6) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f352]) ).

fof(f1039,plain,
    ( c2_1(a2295)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1038]) ).

fof(f1953,plain,
    ( spl0_121
    | spl0_122
    | ~ spl0_48
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1426,f774,f415,f770,f766]) ).

fof(f770,plain,
    ( spl0_122
  <=> c1_1(a2295) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f415,plain,
    ( spl0_48
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33)
        | c3_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1426,plain,
    ( c1_1(a2295)
    | c3_1(a2295)
    | ~ spl0_48
    | ~ spl0_123 ),
    inference(resolution,[],[f416,f775]) ).

fof(f775,plain,
    ( c0_1(a2295)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f416,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33)
        | c3_1(X33) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f415]) ).

fof(f1947,plain,
    ( spl0_97
    | spl0_164
    | ~ spl0_61
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f1634,f660,f484,f993,f656]) ).

fof(f656,plain,
    ( spl0_97
  <=> c1_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f993,plain,
    ( spl0_164
  <=> c0_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f484,plain,
    ( spl0_61
  <=> ! [X80] :
        ( ~ c3_1(X80)
        | c0_1(X80)
        | c1_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f660,plain,
    ( spl0_98
  <=> c3_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1634,plain,
    ( c0_1(a2323)
    | c1_1(a2323)
    | ~ spl0_61
    | ~ spl0_98 ),
    inference(resolution,[],[f485,f661]) ).

fof(f661,plain,
    ( c3_1(a2323)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f660]) ).

fof(f485,plain,
    ( ! [X80] :
        ( ~ c3_1(X80)
        | c0_1(X80)
        | c1_1(X80) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f1946,plain,
    ( spl0_138
    | spl0_137
    | ~ spl0_63
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1819,f835,f495,f839,f843]) ).

fof(f843,plain,
    ( spl0_138
  <=> c1_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f839,plain,
    ( spl0_137
  <=> c0_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f835,plain,
    ( spl0_136
  <=> c2_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f1819,plain,
    ( c0_1(a2286)
    | c1_1(a2286)
    | ~ spl0_63
    | spl0_136 ),
    inference(resolution,[],[f496,f836]) ).

fof(f836,plain,
    ( ~ c2_1(a2286)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f835]) ).

fof(f1945,plain,
    ( spl0_131
    | spl0_132
    | ~ spl0_63
    | spl0_130 ),
    inference(avatar_split_clause,[],[f1820,f808,f495,f816,f812]) ).

fof(f812,plain,
    ( spl0_131
  <=> c1_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f816,plain,
    ( spl0_132
  <=> c0_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f808,plain,
    ( spl0_130
  <=> c2_1(a2291) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1820,plain,
    ( c0_1(a2291)
    | c1_1(a2291)
    | ~ spl0_63
    | spl0_130 ),
    inference(resolution,[],[f496,f809]) ).

fof(f809,plain,
    ( ~ c2_1(a2291)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f808]) ).

fof(f1944,plain,
    ( spl0_183
    | spl0_89
    | ~ spl0_63
    | spl0_88 ),
    inference(avatar_split_clause,[],[f1826,f616,f495,f620,f1356]) ).

fof(f1356,plain,
    ( spl0_183
  <=> c1_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f620,plain,
    ( spl0_89
  <=> c0_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f616,plain,
    ( spl0_88
  <=> c2_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f1826,plain,
    ( c0_1(a2327)
    | c1_1(a2327)
    | ~ spl0_63
    | spl0_88 ),
    inference(resolution,[],[f496,f617]) ).

fof(f617,plain,
    ( ~ c2_1(a2327)
    | spl0_88 ),
    inference(avatar_component_clause,[],[f616]) ).

fof(f1930,plain,
    ( ~ spl0_169
    | spl0_118
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1403,f760,f352,f752,f1080]) ).

fof(f1080,plain,
    ( spl0_169
  <=> c0_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f752,plain,
    ( spl0_118
  <=> c3_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f760,plain,
    ( spl0_120
  <=> c2_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f1403,plain,
    ( c3_1(a2299)
    | ~ c0_1(a2299)
    | ~ spl0_33
    | ~ spl0_120 ),
    inference(resolution,[],[f353,f761]) ).

fof(f761,plain,
    ( c2_1(a2299)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f760]) ).

fof(f1921,plain,
    ( ~ spl0_102
    | spl0_100
    | ~ spl0_35
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f1909,f1478,f360,f670,f678]) ).

fof(f678,plain,
    ( spl0_102
  <=> c1_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f670,plain,
    ( spl0_100
  <=> c3_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f360,plain,
    ( spl0_35
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1478,plain,
    ( spl0_184
  <=> c0_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f1909,plain,
    ( c3_1(a2316)
    | ~ c1_1(a2316)
    | ~ spl0_35
    | ~ spl0_184 ),
    inference(resolution,[],[f361,f1479]) ).

fof(f1479,plain,
    ( c0_1(a2316)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1478]) ).

fof(f361,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c3_1(X8)
        | ~ c1_1(X8) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f1917,plain,
    ( ~ spl0_140
    | spl0_139
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1899,f857,f360,f849,f853]) ).

fof(f853,plain,
    ( spl0_140
  <=> c1_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f849,plain,
    ( spl0_139
  <=> c3_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f857,plain,
    ( spl0_141
  <=> c0_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1899,plain,
    ( c3_1(a2285)
    | ~ c1_1(a2285)
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(resolution,[],[f361,f858]) ).

fof(f858,plain,
    ( c0_1(a2285)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f857]) ).

fof(f1893,plain,
    ( ~ spl0_74
    | spl0_160
    | ~ spl0_43
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1422,f555,f391,f947,f551]) ).

fof(f551,plain,
    ( spl0_74
  <=> c1_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f947,plain,
    ( spl0_160
  <=> c2_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f391,plain,
    ( spl0_43
  <=> ! [X18] :
        ( ~ c1_1(X18)
        | c2_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f555,plain,
    ( spl0_75
  <=> c0_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1422,plain,
    ( c2_1(a2278)
    | ~ c1_1(a2278)
    | ~ spl0_43
    | ~ spl0_75 ),
    inference(resolution,[],[f392,f556]) ).

fof(f556,plain,
    ( c0_1(a2278)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f392,plain,
    ( ! [X18] :
        ( ~ c0_1(X18)
        | c2_1(X18)
        | ~ c1_1(X18) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f1892,plain,
    ( ~ spl0_154
    | ~ spl0_156
    | ~ spl0_30
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1495,f920,f340,f924,f916]) ).

fof(f916,plain,
    ( spl0_154
  <=> c2_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f924,plain,
    ( spl0_156
  <=> c0_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f340,plain,
    ( spl0_30
  <=> ! [X3] :
        ( ~ c2_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f920,plain,
    ( spl0_155
  <=> c1_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1495,plain,
    ( ~ c0_1(a2277)
    | ~ c2_1(a2277)
    | ~ spl0_30
    | ~ spl0_155 ),
    inference(resolution,[],[f341,f921]) ).

fof(f921,plain,
    ( c1_1(a2277)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f341,plain,
    ( ! [X3] :
        ( ~ c1_1(X3)
        | ~ c0_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f340]) ).

fof(f1888,plain,
    ( ~ spl0_160
    | ~ spl0_75
    | ~ spl0_30
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1501,f551,f340,f555,f947]) ).

fof(f1501,plain,
    ( ~ c0_1(a2278)
    | ~ c2_1(a2278)
    | ~ spl0_30
    | ~ spl0_74 ),
    inference(resolution,[],[f341,f552]) ).

fof(f552,plain,
    ( c1_1(a2278)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f551]) ).

fof(f1883,plain,
    ( ~ spl0_155
    | spl0_177
    | ~ spl0_35
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1608,f924,f360,f1250,f920]) ).

fof(f1250,plain,
    ( spl0_177
  <=> c3_1(a2277) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f1608,plain,
    ( c3_1(a2277)
    | ~ c1_1(a2277)
    | ~ spl0_35
    | ~ spl0_156 ),
    inference(resolution,[],[f361,f925]) ).

fof(f925,plain,
    ( c0_1(a2277)
    | ~ spl0_156 ),
    inference(avatar_component_clause,[],[f924]) ).

fof(f1878,plain,
    ( ~ spl0_62
    | ~ spl0_63
    | spl0_79
    | spl0_80 ),
    inference(avatar_contradiction_clause,[],[f1876]) ).

fof(f1876,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_63
    | spl0_79
    | spl0_80 ),
    inference(resolution,[],[f1861,f576]) ).

fof(f576,plain,
    ( ~ c1_1(a2345)
    | spl0_79 ),
    inference(avatar_component_clause,[],[f575]) ).

fof(f575,plain,
    ( spl0_79
  <=> c1_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f1861,plain,
    ( c1_1(a2345)
    | ~ spl0_62
    | ~ spl0_63
    | spl0_80 ),
    inference(resolution,[],[f1831,f580]) ).

fof(f580,plain,
    ( ~ c0_1(a2345)
    | spl0_80 ),
    inference(avatar_component_clause,[],[f579]) ).

fof(f579,plain,
    ( spl0_80
  <=> c0_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1831,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(duplicate_literal_removal,[],[f1815]) ).

fof(f1815,plain,
    ( ! [X1] :
        ( c0_1(X1)
        | c1_1(X1)
        | c0_1(X1)
        | c1_1(X1) )
    | ~ spl0_62
    | ~ spl0_63 ),
    inference(resolution,[],[f496,f491]) ).

fof(f491,plain,
    ( ! [X85] :
        ( ~ c2_1(X85)
        | c0_1(X85)
        | c1_1(X85) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f490,plain,
    ( spl0_62
  <=> ! [X85] :
        ( ~ c2_1(X85)
        | c0_1(X85)
        | c1_1(X85) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1768,plain,
    ( spl0_167
    | spl0_115
    | ~ spl0_62
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1762,f746,f490,f738,f1050]) ).

fof(f1050,plain,
    ( spl0_167
  <=> c1_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f738,plain,
    ( spl0_115
  <=> c0_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f746,plain,
    ( spl0_117
  <=> c2_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f1762,plain,
    ( c0_1(a2302)
    | c1_1(a2302)
    | ~ spl0_62
    | ~ spl0_117 ),
    inference(resolution,[],[f491,f747]) ).

fof(f747,plain,
    ( c2_1(a2302)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f1755,plain,
    ( ~ spl0_167
    | spl0_115
    | ~ spl0_54
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1749,f746,f448,f738,f1050]) ).

fof(f448,plain,
    ( spl0_54
  <=> ! [X57] :
        ( ~ c2_1(X57)
        | c0_1(X57)
        | ~ c1_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1749,plain,
    ( c0_1(a2302)
    | ~ c1_1(a2302)
    | ~ spl0_54
    | ~ spl0_117 ),
    inference(resolution,[],[f449,f747]) ).

fof(f449,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c0_1(X57)
        | ~ c1_1(X57) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f448]) ).

fof(f1690,plain,
    ( ~ spl0_177
    | spl0_154
    | ~ spl0_38
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1679,f920,f371,f916,f1250]) ).

fof(f371,plain,
    ( spl0_38
  <=> ! [X11] :
        ( ~ c3_1(X11)
        | c2_1(X11)
        | ~ c1_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1679,plain,
    ( c2_1(a2277)
    | ~ c3_1(a2277)
    | ~ spl0_38
    | ~ spl0_155 ),
    inference(resolution,[],[f372,f921]) ).

fof(f372,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c2_1(X11)
        | ~ c3_1(X11) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1665,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_42
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1660,f911,f386,f907,f903]) ).

fof(f903,plain,
    ( spl0_151
  <=> c3_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f907,plain,
    ( spl0_152
  <=> c2_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f386,plain,
    ( spl0_42
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f911,plain,
    ( spl0_153
  <=> c0_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1660,plain,
    ( c2_1(a2279)
    | c3_1(a2279)
    | ~ spl0_42
    | ~ spl0_153 ),
    inference(resolution,[],[f912,f387]) ).

fof(f387,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) )
    | ~ spl0_42 ),
    inference(avatar_component_clause,[],[f386]) ).

fof(f912,plain,
    ( c0_1(a2279)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f911]) ).

fof(f1663,plain,
    ( ~ spl0_180
    | spl0_151
    | ~ spl0_35
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1659,f911,f360,f903,f1298]) ).

fof(f1298,plain,
    ( spl0_180
  <=> c1_1(a2279) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_180])]) ).

fof(f1659,plain,
    ( c3_1(a2279)
    | ~ c1_1(a2279)
    | ~ spl0_35
    | ~ spl0_153 ),
    inference(resolution,[],[f912,f361]) ).

fof(f1658,plain,
    ( ~ spl0_173
    | spl0_145
    | ~ spl0_32
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1506,f884,f348,f876,f1142]) ).

fof(f1142,plain,
    ( spl0_173
  <=> c1_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f876,plain,
    ( spl0_145
  <=> c3_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f348,plain,
    ( spl0_32
  <=> ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f884,plain,
    ( spl0_147
  <=> c2_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1506,plain,
    ( c3_1(a2282)
    | ~ c1_1(a2282)
    | ~ spl0_32
    | ~ spl0_147 ),
    inference(resolution,[],[f349,f885]) ).

fof(f885,plain,
    ( c2_1(a2282)
    | ~ spl0_147 ),
    inference(avatar_component_clause,[],[f884]) ).

fof(f349,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | c3_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f348]) ).

fof(f1657,plain,
    ( spl0_91
    | spl0_92
    | ~ spl0_62
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1651,f637,f490,f633,f629]) ).

fof(f629,plain,
    ( spl0_91
  <=> c1_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f633,plain,
    ( spl0_92
  <=> c0_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f637,plain,
    ( spl0_93
  <=> c2_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1651,plain,
    ( c0_1(a2325)
    | c1_1(a2325)
    | ~ spl0_62
    | ~ spl0_93 ),
    inference(resolution,[],[f491,f638]) ).

fof(f638,plain,
    ( c2_1(a2325)
    | ~ spl0_93 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f1656,plain,
    ( spl0_119
    | spl0_169
    | ~ spl0_62
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1648,f760,f490,f1080,f756]) ).

fof(f756,plain,
    ( spl0_119
  <=> c1_1(a2299) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1648,plain,
    ( c0_1(a2299)
    | c1_1(a2299)
    | ~ spl0_62
    | ~ spl0_120 ),
    inference(resolution,[],[f491,f761]) ).

fof(f1655,plain,
    ( spl0_173
    | spl0_146
    | ~ spl0_62
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1644,f884,f490,f880,f1142]) ).

fof(f880,plain,
    ( spl0_146
  <=> c0_1(a2282) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f1644,plain,
    ( c0_1(a2282)
    | c1_1(a2282)
    | ~ spl0_62
    | ~ spl0_147 ),
    inference(resolution,[],[f491,f885]) ).

fof(f1643,plain,
    ( spl0_79
    | spl0_80
    | ~ spl0_61
    | ~ spl0_81 ),
    inference(avatar_split_clause,[],[f1637,f583,f484,f579,f575]) ).

fof(f583,plain,
    ( spl0_81
  <=> c3_1(a2345) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f1637,plain,
    ( c0_1(a2345)
    | c1_1(a2345)
    | ~ spl0_61
    | ~ spl0_81 ),
    inference(resolution,[],[f485,f584]) ).

fof(f584,plain,
    ( c3_1(a2345)
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f583]) ).

fof(f1591,plain,
    ( ~ spl0_114
    | spl0_112
    | ~ spl0_32
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f1588,f729,f348,f725,f733]) ).

fof(f733,plain,
    ( spl0_114
  <=> c1_1(a2303) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f725,plain,
    ( spl0_112
  <=> c3_1(a2303) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f729,plain,
    ( spl0_113
  <=> c2_1(a2303) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1588,plain,
    ( c3_1(a2303)
    | ~ c1_1(a2303)
    | ~ spl0_32
    | ~ spl0_113 ),
    inference(resolution,[],[f730,f349]) ).

fof(f730,plain,
    ( c2_1(a2303)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f729]) ).

fof(f1587,plain,
    ( spl0_100
    | spl0_184
    | ~ spl0_60
    | spl0_101 ),
    inference(avatar_split_clause,[],[f1572,f674,f476,f1478,f670]) ).

fof(f476,plain,
    ( spl0_60
  <=> ! [X72] :
        ( c3_1(X72)
        | c0_1(X72)
        | c2_1(X72) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f674,plain,
    ( spl0_101
  <=> c2_1(a2316) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f1572,plain,
    ( c0_1(a2316)
    | c3_1(a2316)
    | ~ spl0_60
    | spl0_101 ),
    inference(resolution,[],[f477,f675]) ).

fof(f675,plain,
    ( ~ c2_1(a2316)
    | spl0_101 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f477,plain,
    ( ! [X72] :
        ( c2_1(X72)
        | c0_1(X72)
        | c3_1(X72) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f476]) ).

fof(f1582,plain,
    ( spl0_109
    | spl0_111
    | ~ spl0_60
    | spl0_110 ),
    inference(avatar_split_clause,[],[f1569,f715,f476,f719,f711]) ).

fof(f711,plain,
    ( spl0_109
  <=> c3_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f719,plain,
    ( spl0_111
  <=> c0_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f715,plain,
    ( spl0_110
  <=> c2_1(a2304) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1569,plain,
    ( c0_1(a2304)
    | c3_1(a2304)
    | ~ spl0_60
    | spl0_110 ),
    inference(resolution,[],[f477,f716]) ).

fof(f716,plain,
    ( ~ c2_1(a2304)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f715]) ).

fof(f1578,plain,
    ( spl0_176
    | spl0_137
    | ~ spl0_60
    | spl0_136 ),
    inference(avatar_split_clause,[],[f1567,f835,f476,f839,f1193]) ).

fof(f1193,plain,
    ( spl0_176
  <=> c3_1(a2286) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f1567,plain,
    ( c0_1(a2286)
    | c3_1(a2286)
    | ~ spl0_60
    | spl0_136 ),
    inference(resolution,[],[f477,f836]) ).

fof(f1553,plain,
    ( spl0_136
    | spl0_137
    | ~ spl0_59
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1545,f843,f472,f839,f835]) ).

fof(f472,plain,
    ( spl0_59
  <=> ! [X71] :
        ( ~ c1_1(X71)
        | c0_1(X71)
        | c2_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f1545,plain,
    ( c0_1(a2286)
    | c2_1(a2286)
    | ~ spl0_59
    | ~ spl0_138 ),
    inference(resolution,[],[f473,f844]) ).

fof(f844,plain,
    ( c1_1(a2286)
    | ~ spl0_138 ),
    inference(avatar_component_clause,[],[f843]) ).

fof(f473,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f472]) ).

fof(f1534,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_58
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1520,f624,f468,f620,f616]) ).

fof(f468,plain,
    ( spl0_58
  <=> ! [X70] :
        ( ~ c3_1(X70)
        | c0_1(X70)
        | c2_1(X70) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f624,plain,
    ( spl0_90
  <=> c3_1(a2327) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1520,plain,
    ( c0_1(a2327)
    | c2_1(a2327)
    | ~ spl0_58
    | ~ spl0_90 ),
    inference(resolution,[],[f469,f625]) ).

fof(f625,plain,
    ( c3_1(a2327)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f469,plain,
    ( ! [X70] :
        ( ~ c3_1(X70)
        | c0_1(X70)
        | c2_1(X70) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f468]) ).

fof(f1532,plain,
    ( spl0_103
    | spl0_185
    | ~ spl0_58
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f1518,f692,f468,f1530,f684]) ).

fof(f1518,plain,
    ( c0_1(a2308)
    | c2_1(a2308)
    | ~ spl0_58
    | ~ spl0_105 ),
    inference(resolution,[],[f469,f693]) ).

fof(f693,plain,
    ( c3_1(a2308)
    | ~ spl0_105 ),
    inference(avatar_component_clause,[],[f692]) ).

fof(f1484,plain,
    ( ~ spl0_69
    | spl0_162
    | ~ spl0_54
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1437,f523,f448,f967,f527]) ).

fof(f527,plain,
    ( spl0_69
  <=> c1_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f967,plain,
    ( spl0_162
  <=> c0_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f523,plain,
    ( spl0_68
  <=> c2_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1437,plain,
    ( c0_1(a2315)
    | ~ c1_1(a2315)
    | ~ spl0_54
    | ~ spl0_68 ),
    inference(resolution,[],[f449,f524]) ).

fof(f524,plain,
    ( c2_1(a2315)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f1483,plain,
    ( spl0_94
    | spl0_95
    | ~ spl0_56
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f1468,f651,f459,f647,f643]) ).

fof(f643,plain,
    ( spl0_94
  <=> c3_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f647,plain,
    ( spl0_95
  <=> c0_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f459,plain,
    ( spl0_56
  <=> ! [X66] :
        ( ~ c1_1(X66)
        | c0_1(X66)
        | c3_1(X66) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f651,plain,
    ( spl0_96
  <=> c1_1(a2324) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1468,plain,
    ( c0_1(a2324)
    | c3_1(a2324)
    | ~ spl0_56
    | ~ spl0_96 ),
    inference(resolution,[],[f460,f652]) ).

fof(f652,plain,
    ( c1_1(a2324)
    | ~ spl0_96 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f460,plain,
    ( ! [X66] :
        ( ~ c1_1(X66)
        | c0_1(X66)
        | c3_1(X66) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f459]) ).

fof(f1480,plain,
    ( spl0_100
    | spl0_184
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1467,f678,f459,f1478,f670]) ).

fof(f1467,plain,
    ( c0_1(a2316)
    | c3_1(a2316)
    | ~ spl0_56
    | ~ spl0_102 ),
    inference(resolution,[],[f460,f679]) ).

fof(f679,plain,
    ( c1_1(a2316)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f678]) ).

fof(f1476,plain,
    ( spl0_176
    | spl0_137
    | ~ spl0_56
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1465,f843,f459,f839,f1193]) ).

fof(f1465,plain,
    ( c0_1(a2286)
    | c3_1(a2286)
    | ~ spl0_56
    | ~ spl0_138 ),
    inference(resolution,[],[f460,f844]) ).

fof(f1459,plain,
    ( spl0_145
    | spl0_146
    | ~ spl0_55
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1450,f884,f455,f880,f876]) ).

fof(f455,plain,
    ( spl0_55
  <=> ! [X65] :
        ( ~ c2_1(X65)
        | c0_1(X65)
        | c3_1(X65) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1450,plain,
    ( c0_1(a2282)
    | c3_1(a2282)
    | ~ spl0_55
    | ~ spl0_147 ),
    inference(resolution,[],[f456,f885]) ).

fof(f456,plain,
    ( ! [X65] :
        ( ~ c2_1(X65)
        | c0_1(X65)
        | c3_1(X65) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f455]) ).

fof(f1442,plain,
    ( ~ spl0_78
    | spl0_76
    | ~ spl0_54
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1434,f565,f448,f561,f569]) ).

fof(f569,plain,
    ( spl0_78
  <=> c1_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f561,plain,
    ( spl0_76
  <=> c0_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f565,plain,
    ( spl0_77
  <=> c2_1(a2367) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f1434,plain,
    ( c0_1(a2367)
    | ~ c1_1(a2367)
    | ~ spl0_54
    | ~ spl0_77 ),
    inference(resolution,[],[f449,f566]) ).

fof(f566,plain,
    ( c2_1(a2367)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f1440,plain,
    ( ~ spl0_173
    | spl0_146
    | ~ spl0_54
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1429,f884,f448,f880,f1142]) ).

fof(f1429,plain,
    ( c0_1(a2282)
    | ~ c1_1(a2282)
    | ~ spl0_54
    | ~ spl0_147 ),
    inference(resolution,[],[f449,f885]) ).

fof(f1397,plain,
    ( spl0_174
    | spl0_124
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1202,f788,f386,f780,f1159]) ).

fof(f1159,plain,
    ( spl0_174
  <=> c3_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f780,plain,
    ( spl0_124
  <=> c2_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f788,plain,
    ( spl0_126
  <=> c0_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1202,plain,
    ( c2_1(a2294)
    | c3_1(a2294)
    | ~ spl0_42
    | ~ spl0_126 ),
    inference(resolution,[],[f387,f789]) ).

fof(f789,plain,
    ( c0_1(a2294)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f788]) ).

fof(f1394,plain,
    ( ~ spl0_177
    | spl0_154
    | ~ spl0_39
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1388,f924,f375,f916,f1250]) ).

fof(f1388,plain,
    ( c2_1(a2277)
    | ~ c3_1(a2277)
    | ~ spl0_39
    | ~ spl0_156 ),
    inference(resolution,[],[f376,f925]) ).

fof(f1382,plain,
    ( spl0_121
    | spl0_166
    | ~ spl0_42
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1203,f774,f386,f1038,f766]) ).

fof(f1203,plain,
    ( c2_1(a2295)
    | c3_1(a2295)
    | ~ spl0_42
    | ~ spl0_123 ),
    inference(resolution,[],[f387,f775]) ).

fof(f1379,plain,
    ( ~ spl0_181
    | ~ spl0_141
    | ~ spl0_30
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1370,f853,f340,f857,f1311]) ).

fof(f1311,plain,
    ( spl0_181
  <=> c2_1(a2285) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1370,plain,
    ( ~ c0_1(a2285)
    | ~ c2_1(a2285)
    | ~ spl0_30
    | ~ spl0_140 ),
    inference(resolution,[],[f341,f854]) ).

fof(f854,plain,
    ( c1_1(a2285)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f1359,plain,
    ( ~ spl0_183
    | spl0_89
    | ~ spl0_52
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1341,f624,f440,f620,f1356]) ).

fof(f440,plain,
    ( spl0_52
  <=> ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | ~ c1_1(X54) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1341,plain,
    ( c0_1(a2327)
    | ~ c1_1(a2327)
    | ~ spl0_52
    | ~ spl0_90 ),
    inference(resolution,[],[f441,f625]) ).

fof(f441,plain,
    ( ! [X54] :
        ( ~ c3_1(X54)
        | c0_1(X54)
        | ~ c1_1(X54) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f440]) ).

fof(f1349,plain,
    ( ~ spl0_159
    | spl0_157
    | ~ spl0_52
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1336,f934,f440,f930,f938]) ).

fof(f938,plain,
    ( spl0_159
  <=> c1_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f930,plain,
    ( spl0_157
  <=> c0_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f934,plain,
    ( spl0_158
  <=> c3_1(a2276) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1336,plain,
    ( c0_1(a2276)
    | ~ c1_1(a2276)
    | ~ spl0_52
    | ~ spl0_158 ),
    inference(resolution,[],[f441,f935]) ).

fof(f935,plain,
    ( c3_1(a2276)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f934]) ).

fof(f1313,plain,
    ( spl0_139
    | spl0_181
    | ~ spl0_42
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1307,f857,f386,f1311,f849]) ).

fof(f1307,plain,
    ( c2_1(a2285)
    | c3_1(a2285)
    | ~ spl0_42
    | ~ spl0_141 ),
    inference(resolution,[],[f858,f387]) ).

fof(f1303,plain,
    ( spl0_171
    | spl0_133
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1172,f829,f415,f821,f1111]) ).

fof(f1111,plain,
    ( spl0_171
  <=> c3_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f821,plain,
    ( spl0_133
  <=> c1_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f829,plain,
    ( spl0_135
  <=> c0_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f1172,plain,
    ( c1_1(a2287)
    | c3_1(a2287)
    | ~ spl0_48
    | ~ spl0_135 ),
    inference(resolution,[],[f416,f830]) ).

fof(f830,plain,
    ( c0_1(a2287)
    | ~ spl0_135 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f1300,plain,
    ( spl0_151
    | spl0_180
    | ~ spl0_50
    | spl0_152 ),
    inference(avatar_split_clause,[],[f1223,f907,f425,f1298,f903]) ).

fof(f425,plain,
    ( spl0_50
  <=> ! [X40] :
        ( c3_1(X40)
        | c1_1(X40)
        | c2_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1223,plain,
    ( c1_1(a2279)
    | c3_1(a2279)
    | ~ spl0_50
    | spl0_152 ),
    inference(resolution,[],[f426,f908]) ).

fof(f908,plain,
    ( ~ c2_1(a2279)
    | spl0_152 ),
    inference(avatar_component_clause,[],[f907]) ).

fof(f426,plain,
    ( ! [X40] :
        ( c2_1(X40)
        | c1_1(X40)
        | c3_1(X40) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f1285,plain,
    ( spl0_106
    | spl0_108
    | ~ spl0_50
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1229,f702,f425,f706,f698]) ).

fof(f698,plain,
    ( spl0_106
  <=> c3_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f706,plain,
    ( spl0_108
  <=> c1_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f702,plain,
    ( spl0_107
  <=> c2_1(a2306) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f1229,plain,
    ( c1_1(a2306)
    | c3_1(a2306)
    | ~ spl0_50
    | spl0_107 ),
    inference(resolution,[],[f426,f703]) ).

fof(f703,plain,
    ( ~ c2_1(a2306)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f1282,plain,
    ( ~ spl0_86
    | spl0_85
    | ~ spl0_45
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1277,f610,f401,f602,f606]) ).

fof(f606,plain,
    ( spl0_86
  <=> c3_1(a2337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f602,plain,
    ( spl0_85
  <=> c1_1(a2337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f401,plain,
    ( spl0_45
  <=> ! [X23] :
        ( ~ c3_1(X23)
        | c1_1(X23)
        | ~ c0_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f610,plain,
    ( spl0_87
  <=> c0_1(a2337) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1277,plain,
    ( c1_1(a2337)
    | ~ c3_1(a2337)
    | ~ spl0_45
    | ~ spl0_87 ),
    inference(resolution,[],[f402,f611]) ).

fof(f611,plain,
    ( c0_1(a2337)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f610]) ).

fof(f402,plain,
    ( ! [X23] :
        ( ~ c0_1(X23)
        | c1_1(X23)
        | ~ c3_1(X23) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f401]) ).

fof(f1281,plain,
    ( ~ spl0_174
    | spl0_125
    | ~ spl0_45
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1275,f788,f401,f784,f1159]) ).

fof(f784,plain,
    ( spl0_125
  <=> c1_1(a2294) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f1275,plain,
    ( c1_1(a2294)
    | ~ c3_1(a2294)
    | ~ spl0_45
    | ~ spl0_126 ),
    inference(resolution,[],[f402,f789]) ).

fof(f1280,plain,
    ( ~ spl0_171
    | spl0_133
    | ~ spl0_45
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1274,f829,f401,f821,f1111]) ).

fof(f1274,plain,
    ( c1_1(a2287)
    | ~ c3_1(a2287)
    | ~ spl0_45
    | ~ spl0_135 ),
    inference(resolution,[],[f402,f830]) ).

fof(f1264,plain,
    ( ~ spl0_155
    | spl0_154
    | ~ spl0_43
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1257,f924,f391,f916,f920]) ).

fof(f1257,plain,
    ( c2_1(a2277)
    | ~ c1_1(a2277)
    | ~ spl0_43
    | ~ spl0_156 ),
    inference(resolution,[],[f392,f925]) ).

fof(f1256,plain,
    ( ~ spl0_155
    | ~ spl0_177
    | ~ spl0_41
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1248,f924,f382,f1250,f920]) ).

fof(f382,plain,
    ( spl0_41
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | ~ c0_1(X13)
        | ~ c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f1248,plain,
    ( ~ c3_1(a2277)
    | ~ c1_1(a2277)
    | ~ spl0_41
    | ~ spl0_156 ),
    inference(resolution,[],[f925,f383]) ).

fof(f383,plain,
    ( ! [X13] :
        ( ~ c0_1(X13)
        | ~ c3_1(X13)
        | ~ c1_1(X13) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f382]) ).

fof(f1253,plain,
    ( spl0_177
    | spl0_154
    | ~ spl0_42
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f1247,f924,f386,f916,f1250]) ).

fof(f1247,plain,
    ( c2_1(a2277)
    | c3_1(a2277)
    | ~ spl0_42
    | ~ spl0_156 ),
    inference(resolution,[],[f925,f387]) ).

fof(f1214,plain,
    ( ~ spl0_134
    | spl0_133
    | ~ spl0_46
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f1207,f829,f406,f821,f825]) ).

fof(f825,plain,
    ( spl0_134
  <=> c2_1(a2287) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f406,plain,
    ( spl0_46
  <=> ! [X28] :
        ( ~ c2_1(X28)
        | c1_1(X28)
        | ~ c0_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1207,plain,
    ( c1_1(a2287)
    | ~ c2_1(a2287)
    | ~ spl0_46
    | ~ spl0_135 ),
    inference(resolution,[],[f407,f830]) ).

fof(f407,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | c1_1(X28)
        | ~ c2_1(X28) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f406]) ).

fof(f1200,plain,
    ( ~ spl0_149
    | spl0_148
    | ~ spl0_38
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1197,f897,f371,f889,f893]) ).

fof(f893,plain,
    ( spl0_149
  <=> c3_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f889,plain,
    ( spl0_148
  <=> c2_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f897,plain,
    ( spl0_150
  <=> c1_1(a2280) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1197,plain,
    ( c2_1(a2280)
    | ~ c3_1(a2280)
    | ~ spl0_38
    | ~ spl0_150 ),
    inference(resolution,[],[f898,f372]) ).

fof(f898,plain,
    ( c1_1(a2280)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f897]) ).

fof(f1196,plain,
    ( ~ spl0_176
    | spl0_136
    | ~ spl0_38
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f1191,f843,f371,f835,f1193]) ).

fof(f1191,plain,
    ( c2_1(a2286)
    | ~ c3_1(a2286)
    | ~ spl0_38
    | ~ spl0_138 ),
    inference(resolution,[],[f844,f372]) ).

fof(f1186,plain,
    ( ~ spl0_168
    | spl0_92
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1089,f637,f430,f633,f1056]) ).

fof(f1056,plain,
    ( spl0_168
  <=> c3_1(a2325) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f430,plain,
    ( spl0_51
  <=> ! [X44] :
        ( ~ c3_1(X44)
        | c0_1(X44)
        | ~ c2_1(X44) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1089,plain,
    ( c0_1(a2325)
    | ~ c3_1(a2325)
    | ~ spl0_51
    | ~ spl0_93 ),
    inference(resolution,[],[f431,f638]) ).

fof(f431,plain,
    ( ! [X44] :
        ( ~ c2_1(X44)
        | c0_1(X44)
        | ~ c3_1(X44) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f430]) ).

fof(f1184,plain,
    ( ~ spl0_67
    | ~ spl0_162
    | ~ spl0_37
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f989,f523,f367,f967,f519]) ).

fof(f519,plain,
    ( spl0_67
  <=> c3_1(a2315) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f367,plain,
    ( spl0_37
  <=> ! [X9] :
        ( ~ c3_1(X9)
        | ~ c0_1(X9)
        | ~ c2_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f989,plain,
    ( ~ c0_1(a2315)
    | ~ c3_1(a2315)
    | ~ spl0_37
    | ~ spl0_68 ),
    inference(resolution,[],[f368,f524]) ).

fof(f368,plain,
    ( ! [X9] :
        ( ~ c2_1(X9)
        | ~ c0_1(X9)
        | ~ c3_1(X9) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1180,plain,
    ( spl0_174
    | spl0_125
    | ~ spl0_48
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1173,f788,f415,f784,f1159]) ).

fof(f1173,plain,
    ( c1_1(a2294)
    | c3_1(a2294)
    | ~ spl0_48
    | ~ spl0_126 ),
    inference(resolution,[],[f416,f789]) ).

fof(f1169,plain,
    ( ~ spl0_83
    | spl0_82
    | ~ spl0_39
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f1155,f597,f375,f589,f593]) ).

fof(f593,plain,
    ( spl0_83
  <=> c3_1(a2342) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f589,plain,
    ( spl0_82
  <=> c2_1(a2342) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f597,plain,
    ( spl0_84
  <=> c0_1(a2342) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1155,plain,
    ( c2_1(a2342)
    | ~ c3_1(a2342)
    | ~ spl0_39
    | ~ spl0_84 ),
    inference(resolution,[],[f376,f598]) ).

fof(f598,plain,
    ( c0_1(a2342)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f1162,plain,
    ( ~ spl0_174
    | spl0_124
    | ~ spl0_39
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1152,f788,f375,f780,f1159]) ).

fof(f1152,plain,
    ( c2_1(a2294)
    | ~ c3_1(a2294)
    | ~ spl0_39
    | ~ spl0_126 ),
    inference(resolution,[],[f376,f789]) ).

fof(f1148,plain,
    ( spl0_118
    | spl0_119
    | ~ spl0_47
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f1133,f760,f410,f756,f752]) ).

fof(f410,plain,
    ( spl0_47
  <=> ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | c3_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1133,plain,
    ( c1_1(a2299)
    | c3_1(a2299)
    | ~ spl0_47
    | ~ spl0_120 ),
    inference(resolution,[],[f411,f761]) ).

fof(f411,plain,
    ( ! [X30] :
        ( ~ c2_1(X30)
        | c1_1(X30)
        | c3_1(X30) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1144,plain,
    ( spl0_145
    | spl0_173
    | ~ spl0_47
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f1131,f884,f410,f1142,f876]) ).

fof(f1131,plain,
    ( c1_1(a2282)
    | c3_1(a2282)
    | ~ spl0_47
    | ~ spl0_147 ),
    inference(resolution,[],[f411,f885]) ).

fof(f1116,plain,
    ( ~ spl0_135
    | spl0_171
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1109,f825,f352,f1111,f829]) ).

fof(f1109,plain,
    ( c3_1(a2287)
    | ~ c0_1(a2287)
    | ~ spl0_33
    | ~ spl0_134 ),
    inference(resolution,[],[f826,f353]) ).

fof(f826,plain,
    ( c2_1(a2287)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f825]) ).

fof(f1114,plain,
    ( ~ spl0_171
    | ~ spl0_135
    | ~ spl0_37
    | ~ spl0_134 ),
    inference(avatar_split_clause,[],[f1108,f825,f367,f829,f1111]) ).

fof(f1108,plain,
    ( ~ c0_1(a2287)
    | ~ c3_1(a2287)
    | ~ spl0_37
    | ~ spl0_134 ),
    inference(resolution,[],[f826,f368]) ).

fof(f1102,plain,
    ( ~ spl0_67
    | spl0_162
    | ~ spl0_51
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1091,f523,f430,f967,f519]) ).

fof(f1091,plain,
    ( c0_1(a2315)
    | ~ c3_1(a2315)
    | ~ spl0_51
    | ~ spl0_68 ),
    inference(resolution,[],[f431,f524]) ).

fof(f1094,plain,
    ( ~ spl0_116
    | spl0_115
    | ~ spl0_51
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1088,f746,f430,f738,f742]) ).

fof(f742,plain,
    ( spl0_116
  <=> c3_1(a2302) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f1088,plain,
    ( c0_1(a2302)
    | ~ c3_1(a2302)
    | ~ spl0_51
    | ~ spl0_117 ),
    inference(resolution,[],[f431,f747]) ).

fof(f1074,plain,
    ( spl0_168
    | spl0_91
    | ~ spl0_47
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f1069,f637,f410,f629,f1056]) ).

fof(f1069,plain,
    ( c1_1(a2325)
    | c3_1(a2325)
    | ~ spl0_47
    | ~ spl0_93 ),
    inference(resolution,[],[f411,f638]) ).

fof(f1054,plain,
    ( ~ spl0_98
    | spl0_97
    | ~ spl0_44
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f1043,f664,f395,f656,f660]) ).

fof(f395,plain,
    ( spl0_44
  <=> ! [X20] :
        ( ~ c3_1(X20)
        | c1_1(X20)
        | ~ c2_1(X20) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f664,plain,
    ( spl0_99
  <=> c2_1(a2323) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f1043,plain,
    ( c1_1(a2323)
    | ~ c3_1(a2323)
    | ~ spl0_44
    | ~ spl0_99 ),
    inference(resolution,[],[f396,f665]) ).

fof(f665,plain,
    ( c2_1(a2323)
    | ~ spl0_99 ),
    inference(avatar_component_clause,[],[f664]) ).

fof(f396,plain,
    ( ! [X20] :
        ( ~ c2_1(X20)
        | c1_1(X20)
        | ~ c3_1(X20) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f395]) ).

fof(f1052,plain,
    ( ~ spl0_116
    | spl0_167
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1042,f746,f395,f1050,f742]) ).

fof(f1042,plain,
    ( c1_1(a2302)
    | ~ c3_1(a2302)
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(resolution,[],[f396,f747]) ).

fof(f1030,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1023,f678,f379,f674,f670]) ).

fof(f379,plain,
    ( spl0_40
  <=> ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1023,plain,
    ( c2_1(a2316)
    | c3_1(a2316)
    | ~ spl0_40
    | ~ spl0_102 ),
    inference(resolution,[],[f380,f679]) ).

fof(f380,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | c3_1(X14) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f379]) ).

fof(f1022,plain,
    ( ~ spl0_74
    | ~ spl0_73
    | ~ spl0_41
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1015,f555,f382,f547,f551]) ).

fof(f547,plain,
    ( spl0_73
  <=> c3_1(a2278) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f1015,plain,
    ( ~ c3_1(a2278)
    | ~ c1_1(a2278)
    | ~ spl0_41
    | ~ spl0_75 ),
    inference(resolution,[],[f383,f556]) ).

fof(f1008,plain,
    ( ~ spl0_73
    | spl0_160
    | ~ spl0_38
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f1003,f551,f371,f947,f547]) ).

fof(f1003,plain,
    ( c2_1(a2278)
    | ~ c3_1(a2278)
    | ~ spl0_38
    | ~ spl0_74 ),
    inference(resolution,[],[f372,f552]) ).

fof(f998,plain,
    ( ~ spl0_64
    | ~ spl0_66
    | ~ spl0_37
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f990,f508,f367,f512,f504]) ).

fof(f504,plain,
    ( spl0_64
  <=> c3_1(a2387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f512,plain,
    ( spl0_66
  <=> c0_1(a2387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f508,plain,
    ( spl0_65
  <=> c2_1(a2387) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f990,plain,
    ( ~ c0_1(a2387)
    | ~ c3_1(a2387)
    | ~ spl0_37
    | ~ spl0_65 ),
    inference(resolution,[],[f368,f509]) ).

fof(f509,plain,
    ( c2_1(a2387)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f995,plain,
    ( ~ spl0_98
    | ~ spl0_164
    | ~ spl0_37
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f986,f664,f367,f993,f660]) ).

fof(f986,plain,
    ( ~ c0_1(a2323)
    | ~ c3_1(a2323)
    | ~ spl0_37
    | ~ spl0_99 ),
    inference(resolution,[],[f368,f665]) ).

fof(f969,plain,
    ( ~ spl0_68
    | ~ spl0_162
    | ~ spl0_30
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f962,f527,f340,f967,f523]) ).

fof(f962,plain,
    ( ~ c0_1(a2315)
    | ~ c2_1(a2315)
    | ~ spl0_30
    | ~ spl0_69 ),
    inference(resolution,[],[f341,f528]) ).

fof(f528,plain,
    ( c1_1(a2315)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f965,plain,
    ( ~ spl0_70
    | ~ spl0_72
    | ~ spl0_30
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f961,f537,f340,f541,f533]) ).

fof(f533,plain,
    ( spl0_70
  <=> c2_1(a2309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f541,plain,
    ( spl0_72
  <=> c0_1(a2309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f537,plain,
    ( spl0_71
  <=> c1_1(a2309) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f961,plain,
    ( ~ c0_1(a2309)
    | ~ c2_1(a2309)
    | ~ spl0_30
    | ~ spl0_71 ),
    inference(resolution,[],[f341,f538]) ).

fof(f538,plain,
    ( c1_1(a2309)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f953,plain,
    ( ~ spl0_68
    | ~ spl0_69
    | ~ spl0_25
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f944,f519,f322,f527,f523]) ).

fof(f322,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f944,plain,
    ( ~ c1_1(a2315)
    | ~ c2_1(a2315)
    | ~ spl0_25
    | ~ spl0_67 ),
    inference(resolution,[],[f323,f520]) ).

fof(f520,plain,
    ( c3_1(a2315)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f519]) ).

fof(f323,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f322]) ).

fof(f950,plain,
    ( ~ spl0_160
    | ~ spl0_74
    | ~ spl0_25
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f943,f547,f322,f551,f947]) ).

fof(f943,plain,
    ( ~ c1_1(a2278)
    | ~ c2_1(a2278)
    | ~ spl0_25
    | ~ spl0_73 ),
    inference(resolution,[],[f323,f548]) ).

fof(f548,plain,
    ( c3_1(a2278)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f547]) ).

fof(f941,plain,
    ( ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f7,f319,f283]) ).

fof(f283,plain,
    ( spl0_14
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f319,plain,
    ( spl0_24
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

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

fof(f6,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp8
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp13
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp2
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp7
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp2
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp12
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp24
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp19
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp30
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X52] :
          ( ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp4
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp6
      | ! [X73] :
          ( c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X75] :
          ( ~ c0_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c1_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c2_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X90] :
          ( c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp23
      | hskp25
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp8
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c1_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp13
      | ! [X3] :
          ( ~ c2_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp2
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp7
      | ! [X5] :
          ( ~ c2_1(X5)
          | ~ c1_1(X5)
          | c3_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp30
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c0_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp2
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp21
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c2_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp30
      | ! [X11] :
          ( ~ c3_1(X11)
          | ~ c1_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp12
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp26
      | ! [X13] :
          ( ~ c3_1(X13)
          | ~ c1_1(X13)
          | ~ c0_1(X13)
          | ~ ndr1_0 )
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp25
      | hskp24
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X16] :
          ( ~ c2_1(X16)
          | ~ c0_1(X16)
          | c3_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c0_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X18] :
          ( ~ c1_1(X18)
          | ~ c0_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 )
      | ! [X19] :
          ( ~ c0_1(X19)
          | c3_1(X19)
          | c2_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp24
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp1
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp19
      | ! [X23] :
          ( ~ c3_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c2_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c0_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X27] :
          ( ~ c2_1(X27)
          | ~ c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c2_1(X28)
          | ~ c0_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X29] :
          ( ~ c3_1(X29)
          | ~ c1_1(X29)
          | ~ c0_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c2_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X31] :
          ( ~ c1_1(X31)
          | ~ c0_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c2_1(X32)
          | c3_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X33] :
          ( ~ c0_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X34] :
          ( ~ c2_1(X34)
          | ~ c1_1(X34)
          | ~ c0_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c0_1(X35)
          | c3_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( ~ c0_1(X37)
          | c3_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp21
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( ! [X41] :
          ( ~ c2_1(X41)
          | ~ c1_1(X41)
          | ~ c0_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c0_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( c3_1(X43)
          | c2_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp30
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp12
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c2_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X48] :
          ( ~ c1_1(X48)
          | c3_1(X48)
          | c2_1(X48)
          | ~ ndr1_0 )
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | c0_1(X49)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X50] :
          ( ~ c2_1(X50)
          | c3_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X52] :
          ( ~ c0_1(X52)
          | c3_1(X52)
          | c1_1(X52)
          | ~ ndr1_0 )
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c2_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c3_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp29
      | ! [X57] :
          ( ~ c2_1(X57)
          | ~ c1_1(X57)
          | c0_1(X57)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c2_1(X58)
          | ~ c0_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | ~ c1_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( ! [X60] :
          ( ~ c2_1(X60)
          | ~ c1_1(X60)
          | c3_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | ~ c0_1(X61)
          | c3_1(X61)
          | ~ ndr1_0 )
      | ! [X62] :
          ( ~ c2_1(X62)
          | ~ c1_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c2_1(X64)
          | ~ c1_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X65] :
          ( ~ c2_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X66] :
          ( ~ c1_1(X66)
          | c3_1(X66)
          | c0_1(X66)
          | ~ ndr1_0 ) )
    & ( hskp14
      | hskp1
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X68] :
          ( ~ c0_1(X68)
          | c3_1(X68)
          | c2_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c3_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp4
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp28
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp11
      | ! [X72] :
          ( c3_1(X72)
          | c2_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp6
      | ! [X73] :
          ( c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp28
      | ! [X74] :
          ( c3_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X75] :
          ( ~ c0_1(X75)
          | c3_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c2_1(X77)
          | ~ c1_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( c3_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ~ c3_1(X80)
          | c1_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp6
      | ! [X81] :
          ( ~ c3_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X82] :
          ( ~ c2_1(X82)
          | ~ c0_1(X82)
          | c3_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c1_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c1_1(X84)
          | c2_1(X84)
          | ~ ndr1_0 )
      | ! [X85] :
          ( ~ c2_1(X85)
          | c1_1(X85)
          | c0_1(X85)
          | ~ ndr1_0 ) )
    & ( ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c2_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c2_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp0
      | ! [X89] :
          ( c2_1(X89)
          | c1_1(X89)
          | c0_1(X89)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp2
      | ! [X90] :
          ( c2_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X93] :
          ( ~ c2_1(X93)
          | c3_1(X93)
          | c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( c2_1(X94)
          | c1_1(X94)
          | c0_1(X94)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( c2_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp22
      | hskp14
      | hskp3 )
    & ( hskp13
      | hskp22
      | hskp24 )
    & ( hskp19
      | hskp10
      | hskp8 )
    & ( hskp18
      | hskp22
      | hskp31 )
    & ( hskp14
      | hskp7
      | hskp31 )
    & ( hskp0
      | hskp12
      | hskp6 )
    & ( hskp30
      | hskp11
      | hskp6 )
    & ( hskp20
      | hskp14
      | hskp1 )
    & ( hskp16
      | hskp26
      | hskp28 )
    & ( hskp13
      | hskp0
      | hskp28 )
    & ( hskp3
      | hskp27
      | hskp29 )
    & ( hskp9
      | hskp27
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp23
      | hskp25
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp5
      | hskp8
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c1_1(X2) ) ) )
    & ( hskp18
      | hskp13
      | ! [X3] :
          ( ndr1_0
         => ( ~ c2_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp18
      | hskp2
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp19
      | hskp7
      | ! [X5] :
          ( ndr1_0
         => ( ~ c2_1(X5)
            | ~ c1_1(X5)
            | c3_1(X5) ) ) )
    & ( hskp16
      | hskp30
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c0_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp4
      | hskp2
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp16
      | hskp21
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp3
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c2_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp21
      | hskp30
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | ~ c1_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp19
      | hskp12
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp26
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | ~ c1_1(X13)
            | ~ c0_1(X13) ) )
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp25
      | hskp24
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp25
      | ! [X16] :
          ( ndr1_0
         => ( ~ c2_1(X16)
            | ~ c0_1(X16)
            | c3_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c0_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp14
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | ~ c0_1(X18)
            | c2_1(X18) ) )
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | c3_1(X19)
            | c2_1(X19) ) ) )
    & ( hskp4
      | hskp3
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp21
      | hskp24
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp4
      | hskp1
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp4
      | hskp19
      | ! [X23] :
          ( ndr1_0
         => ( ~ c3_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c2_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c0_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp12
      | ! [X27] :
          ( ndr1_0
         => ( ~ c2_1(X27)
            | ~ c0_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c2_1(X28)
            | ~ c0_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp0
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | ~ c1_1(X29)
            | ~ c0_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c2_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp23
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | ~ c0_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c2_1(X32)
            | c3_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp12
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp1
      | ! [X34] :
          ( ndr1_0
         => ( ~ c2_1(X34)
            | ~ c1_1(X34)
            | ~ c0_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c3_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp23
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( ~ c0_1(X37)
            | c3_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp0
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp22
      | hskp21
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( ! [X41] :
          ( ndr1_0
         => ( ~ c2_1(X41)
            | ~ c1_1(X41)
            | ~ c0_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c0_1(X42)
            | c2_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( c3_1(X43)
            | c2_1(X43)
            | c1_1(X43) ) ) )
    & ( hskp20
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp19
      | hskp30
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c0_1(X45) ) ) )
    & ( hskp13
      | hskp12
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp8
      | hskp29
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c2_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp19
      | ! [X48] :
          ( ndr1_0
         => ( ~ c1_1(X48)
            | c3_1(X48)
            | c2_1(X48) ) )
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | c0_1(X49) ) ) )
    & ( hskp30
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | c3_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp8
      | ! [X52] :
          ( ndr1_0
         => ( ~ c0_1(X52)
            | c3_1(X52)
            | c1_1(X52) ) )
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c2_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp17
      | hskp14
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp0
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | c0_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c3_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp8
      | hskp29
      | ! [X57] :
          ( ndr1_0
         => ( ~ c2_1(X57)
            | ~ c1_1(X57)
            | c0_1(X57) ) ) )
    & ( hskp18
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c2_1(X58)
            | ~ c0_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c1_1(X59)
            | c0_1(X59) ) ) )
    & ( ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c1_1(X60)
            | c3_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | ~ c0_1(X61)
            | c3_1(X61) ) )
      | ! [X62] :
          ( ndr1_0
         => ( ~ c2_1(X62)
            | ~ c1_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp17
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c2_1(X64)
            | ~ c1_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp17
      | hskp14
      | ! [X65] :
          ( ndr1_0
         => ( ~ c2_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp16
      | hskp15
      | ! [X66] :
          ( ndr1_0
         => ( ~ c1_1(X66)
            | c3_1(X66)
            | c0_1(X66) ) ) )
    & ( hskp14
      | hskp1
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp11
      | ! [X68] :
          ( ndr1_0
         => ( ~ c0_1(X68)
            | c3_1(X68)
            | c2_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c3_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp13
      | hskp4
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( hskp8
      | hskp28
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp12
      | hskp11
      | ! [X72] :
          ( ndr1_0
         => ( c3_1(X72)
            | c2_1(X72)
            | c0_1(X72) ) ) )
    & ( hskp10
      | hskp6
      | ! [X73] :
          ( ndr1_0
         => ( c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp9
      | hskp28
      | ! [X74] :
          ( ndr1_0
         => ( c3_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( hskp5
      | ! [X75] :
          ( ndr1_0
         => ( ~ c0_1(X75)
            | c3_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | ~ c1_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( c3_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp7
      | hskp8
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c1_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp7
      | hskp6
      | ! [X81] :
          ( ndr1_0
         => ( ~ c3_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp5
      | ! [X82] :
          ( ndr1_0
         => ( ~ c2_1(X82)
            | ~ c0_1(X82)
            | c3_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c1_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp1
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c1_1(X84)
            | c2_1(X84) ) )
      | ! [X85] :
          ( ndr1_0
         => ( ~ c2_1(X85)
            | c1_1(X85)
            | c0_1(X85) ) ) )
    & ( ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c1_1(X86)
            | c2_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c2_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp4
      | hskp0
      | ! [X89] :
          ( ndr1_0
         => ( c2_1(X89)
            | c1_1(X89)
            | c0_1(X89) ) ) )
    & ( hskp3
      | hskp2
      | ! [X90] :
          ( ndr1_0
         => ( c2_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp28
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c1_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c2_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( hskp1
      | ! [X93] :
          ( ndr1_0
         => ( ~ c2_1(X93)
            | c3_1(X93)
            | c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( c2_1(X94)
            | c1_1(X94)
            | c0_1(X94) ) ) )
    & ( hskp0
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( c2_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( ( c3_1(a2387)
        & c2_1(a2387)
        & c0_1(a2387)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a2315)
        & c2_1(a2315)
        & c1_1(a2315)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a2309)
        & c1_1(a2309)
        & c0_1(a2309)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a2278)
        & c1_1(a2278)
        & c0_1(a2278)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c0_1(a2367)
        & c2_1(a2367)
        & c1_1(a2367)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c1_1(a2345)
        & ~ c0_1(a2345)
        & c3_1(a2345)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2342)
        & c3_1(a2342)
        & c0_1(a2342)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a2337)
        & c3_1(a2337)
        & c0_1(a2337)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2327)
        & ~ c0_1(a2327)
        & c3_1(a2327)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c1_1(a2325)
        & ~ c0_1(a2325)
        & c2_1(a2325)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2324)
        & ~ c0_1(a2324)
        & c1_1(a2324)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c1_1(a2323)
        & c3_1(a2323)
        & c2_1(a2323)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2316)
        & ~ c2_1(a2316)
        & c1_1(a2316)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2308)
        & ~ c1_1(a2308)
        & c3_1(a2308)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a2306)
        & ~ c2_1(a2306)
        & ~ c1_1(a2306)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2304)
        & ~ c2_1(a2304)
        & ~ c0_1(a2304)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a2303)
        & c2_1(a2303)
        & c1_1(a2303)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c0_1(a2302)
        & c3_1(a2302)
        & c2_1(a2302)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2299)
        & ~ c1_1(a2299)
        & c2_1(a2299)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2295)
        & ~ c1_1(a2295)
        & c0_1(a2295)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a2294)
        & ~ c1_1(a2294)
        & c0_1(a2294)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a2293)
        & c2_1(a2293)
        & c0_1(a2293)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c2_1(a2291)
        & ~ c1_1(a2291)
        & ~ c0_1(a2291)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a2287)
        & c2_1(a2287)
        & c0_1(a2287)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a2286)
        & ~ c0_1(a2286)
        & c1_1(a2286)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2285)
        & c1_1(a2285)
        & c0_1(a2285)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a2284)
        & ~ c1_1(a2284)
        & ~ c0_1(a2284)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2282)
        & ~ c0_1(a2282)
        & c2_1(a2282)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c2_1(a2280)
        & c3_1(a2280)
        & c1_1(a2280)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2279)
        & ~ c2_1(a2279)
        & c0_1(a2279)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a2277)
        & c1_1(a2277)
        & c0_1(a2277)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2276)
        & c3_1(a2276)
        & c1_1(a2276)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp22
          | hskp14
          | hskp3 )
        & ( hskp13
          | hskp22
          | hskp24 )
        & ( hskp19
          | hskp10
          | hskp8 )
        & ( hskp18
          | hskp22
          | hskp31 )
        & ( hskp14
          | hskp7
          | hskp31 )
        & ( hskp0
          | hskp12
          | hskp6 )
        & ( hskp30
          | hskp11
          | hskp6 )
        & ( hskp20
          | hskp14
          | hskp1 )
        & ( hskp16
          | hskp26
          | hskp28 )
        & ( hskp13
          | hskp0
          | hskp28 )
        & ( hskp3
          | hskp27
          | hskp29 )
        & ( hskp9
          | hskp27
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp23
          | hskp25
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp5
          | hskp8
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) ) )
        & ( hskp18
          | hskp13
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp18
          | hskp2
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp19
          | hskp7
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c1_1(X5)
                | c3_1(X5) ) ) )
        & ( hskp16
          | hskp30
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c0_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp4
          | hskp2
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp16
          | hskp21
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp3
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp21
          | hskp30
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c1_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp19
          | hskp12
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp26
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | ~ c1_1(X13)
                | ~ c0_1(X13) ) )
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp25
          | hskp24
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp25
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c3_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c0_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp14
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | ~ c0_1(X18)
                | c2_1(X18) ) )
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c3_1(X19)
                | c2_1(X19) ) ) )
        & ( hskp4
          | hskp3
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp21
          | hskp24
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp4
          | hskp1
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp4
          | hskp19
          | ! [X23] :
              ( ndr1_0
             => ( ~ c3_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c2_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c0_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp12
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | ~ c0_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp0
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | ~ c1_1(X29)
                | ~ c0_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c2_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp23
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | ~ c0_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp1
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c3_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp23
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c0_1(X37)
                | c3_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp0
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp22
          | hskp21
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( ! [X41] :
              ( ndr1_0
             => ( ~ c2_1(X41)
                | ~ c1_1(X41)
                | ~ c0_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c2_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c1_1(X43) ) ) )
        & ( hskp20
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp19
          | hskp30
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp13
          | hskp12
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp8
          | hskp29
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp19
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp30
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | c3_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp8
          | ! [X52] :
              ( ndr1_0
             => ( ~ c0_1(X52)
                | c3_1(X52)
                | c1_1(X52) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp17
          | hskp14
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp0
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | c0_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c3_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp8
          | hskp29
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp18
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c1_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c3_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | ~ c0_1(X61)
                | c3_1(X61) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp17
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c1_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp17
          | hskp14
          | ! [X65] :
              ( ndr1_0
             => ( ~ c2_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp16
          | hskp15
          | ! [X66] :
              ( ndr1_0
             => ( ~ c1_1(X66)
                | c3_1(X66)
                | c0_1(X66) ) ) )
        & ( hskp14
          | hskp1
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp11
          | ! [X68] :
              ( ndr1_0
             => ( ~ c0_1(X68)
                | c3_1(X68)
                | c2_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp13
          | hskp4
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp8
          | hskp28
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp12
          | hskp11
          | ! [X72] :
              ( ndr1_0
             => ( c3_1(X72)
                | c2_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp10
          | hskp6
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp9
          | hskp28
          | ! [X74] :
              ( ndr1_0
             => ( c3_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( hskp5
          | ! [X75] :
              ( ndr1_0
             => ( ~ c0_1(X75)
                | c3_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | ~ c1_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( c3_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp7
          | hskp8
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c1_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp7
          | hskp6
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp5
          | ! [X82] :
              ( ndr1_0
             => ( ~ c2_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c1_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp1
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c2_1(X85)
                | c1_1(X85)
                | c0_1(X85) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | c2_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp4
          | hskp0
          | ! [X89] :
              ( ndr1_0
             => ( c2_1(X89)
                | c1_1(X89)
                | c0_1(X89) ) ) )
        & ( hskp3
          | hskp2
          | ! [X90] :
              ( ndr1_0
             => ( c2_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp28
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c2_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( hskp1
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( c2_1(X94)
                | c1_1(X94)
                | c0_1(X94) ) ) )
        & ( hskp0
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( c2_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( ( c3_1(a2387)
            & c2_1(a2387)
            & c0_1(a2387)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a2315)
            & c2_1(a2315)
            & c1_1(a2315)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a2309)
            & c1_1(a2309)
            & c0_1(a2309)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2278)
            & c1_1(a2278)
            & c0_1(a2278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a2367)
            & c2_1(a2367)
            & c1_1(a2367)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a2345)
            & ~ c0_1(a2345)
            & c3_1(a2345)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2342)
            & c3_1(a2342)
            & c0_1(a2342)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2337)
            & c3_1(a2337)
            & c0_1(a2337)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2327)
            & ~ c0_1(a2327)
            & c3_1(a2327)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a2325)
            & ~ c0_1(a2325)
            & c2_1(a2325)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2324)
            & ~ c0_1(a2324)
            & c1_1(a2324)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2323)
            & c3_1(a2323)
            & c2_1(a2323)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2316)
            & ~ c2_1(a2316)
            & c1_1(a2316)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2308)
            & ~ c1_1(a2308)
            & c3_1(a2308)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a2306)
            & ~ c2_1(a2306)
            & ~ c1_1(a2306)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2304)
            & ~ c2_1(a2304)
            & ~ c0_1(a2304)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2303)
            & c2_1(a2303)
            & c1_1(a2303)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a2302)
            & c3_1(a2302)
            & c2_1(a2302)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2299)
            & ~ c1_1(a2299)
            & c2_1(a2299)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2295)
            & ~ c1_1(a2295)
            & c0_1(a2295)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2294)
            & ~ c1_1(a2294)
            & c0_1(a2294)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2293)
            & c2_1(a2293)
            & c0_1(a2293)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a2291)
            & ~ c1_1(a2291)
            & ~ c0_1(a2291)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a2287)
            & c2_1(a2287)
            & c0_1(a2287)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2286)
            & ~ c0_1(a2286)
            & c1_1(a2286)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2285)
            & c1_1(a2285)
            & c0_1(a2285)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a2284)
            & ~ c1_1(a2284)
            & ~ c0_1(a2284)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2282)
            & ~ c0_1(a2282)
            & c2_1(a2282)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a2280)
            & c3_1(a2280)
            & c1_1(a2280)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2279)
            & ~ c2_1(a2279)
            & c0_1(a2279)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2277)
            & c1_1(a2277)
            & c0_1(a2277)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2276)
            & c3_1(a2276)
            & c1_1(a2276)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp22
          | hskp14
          | hskp3 )
        & ( hskp13
          | hskp22
          | hskp24 )
        & ( hskp19
          | hskp10
          | hskp8 )
        & ( hskp18
          | hskp22
          | hskp31 )
        & ( hskp14
          | hskp7
          | hskp31 )
        & ( hskp0
          | hskp12
          | hskp6 )
        & ( hskp30
          | hskp11
          | hskp6 )
        & ( hskp20
          | hskp14
          | hskp1 )
        & ( hskp16
          | hskp26
          | hskp28 )
        & ( hskp13
          | hskp0
          | hskp28 )
        & ( hskp3
          | hskp27
          | hskp29 )
        & ( hskp9
          | hskp27
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c2_1(X96)
                | ~ c1_1(X96) ) ) )
        & ( hskp23
          | hskp25
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c2_1(X95)
                | ~ c1_1(X95) ) ) )
        & ( hskp5
          | hskp8
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c1_1(X94) ) ) )
        & ( hskp18
          | hskp13
          | ! [X93] :
              ( ndr1_0
             => ( ~ c2_1(X93)
                | ~ c1_1(X93)
                | ~ c0_1(X93) ) ) )
        & ( hskp18
          | hskp2
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | ~ c1_1(X92)
                | ~ c0_1(X92) ) ) )
        & ( hskp19
          | hskp7
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c1_1(X91)
                | c3_1(X91) ) ) )
        & ( hskp16
          | hskp30
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c0_1(X90)
                | c3_1(X90) ) ) )
        & ( hskp4
          | hskp2
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) ) )
        & ( hskp16
          | hskp21
          | ! [X88] :
              ( ndr1_0
             => ( ~ c1_1(X88)
                | ~ c0_1(X88)
                | c3_1(X88) ) ) )
        & ( hskp3
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c2_1(X87)
                | ~ c0_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c1_1(X86)
                | ~ c0_1(X86)
                | c3_1(X86) ) ) )
        & ( hskp21
          | hskp30
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c1_1(X85)
                | c2_1(X85) ) ) )
        & ( hskp19
          | hskp12
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c2_1(X84) ) ) )
        & ( hskp26
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | c3_1(X82)
                | c2_1(X82) ) ) )
        & ( hskp25
          | hskp24
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c3_1(X81)
                | c2_1(X81) ) ) )
        & ( hskp25
          | ! [X80] :
              ( ndr1_0
             => ( ~ c2_1(X80)
                | ~ c0_1(X80)
                | c3_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c0_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) ) )
        & ( hskp14
          | ! [X78] :
              ( ndr1_0
             => ( ~ c1_1(X78)
                | ~ c0_1(X78)
                | c2_1(X78) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) ) )
        & ( hskp4
          | hskp3
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c1_1(X76) ) ) )
        & ( hskp21
          | hskp24
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | ~ c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp4
          | hskp1
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c1_1(X74) ) ) )
        & ( hskp4
          | hskp19
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c0_1(X73)
                | c1_1(X73) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | ~ c0_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c1_1(X70) ) ) )
        & ( hskp12
          | ! [X69] :
              ( ndr1_0
             => ( ~ c2_1(X69)
                | ~ c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c0_1(X68)
                | c1_1(X68) ) ) )
        & ( hskp0
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | ~ c0_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) ) )
        & ( hskp23
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | ~ c0_1(X65)
                | c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | c3_1(X64)
                | c1_1(X64) ) ) )
        & ( hskp12
          | ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | c3_1(X63)
                | c1_1(X63) ) ) )
        & ( hskp1
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c0_1(X61)
                | c3_1(X61)
                | c1_1(X61) ) ) )
        & ( hskp23
          | ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c0_1(X59)
                | c3_1(X59)
                | c1_1(X59) ) ) )
        & ( hskp0
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c2_1(X57)
                | c1_1(X57) ) ) )
        & ( hskp22
          | hskp21
          | ! [X56] :
              ( ndr1_0
             => ( c3_1(X56)
                | c2_1(X56)
                | c1_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | ~ c0_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( c3_1(X53)
                | c2_1(X53)
                | c1_1(X53) ) ) )
        & ( hskp20
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp19
          | hskp30
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | hskp12
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp8
          | hskp29
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp19
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c2_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp30
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | c3_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp8
          | ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp17
          | hskp14
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp0
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | hskp29
          | ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c0_1(X39) ) ) )
        & ( hskp18
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c1_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c1_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c0_1(X35)
                | c3_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp17
          | ! [X33] :
              ( ndr1_0
             => ( ~ c1_1(X33)
                | c3_1(X33)
                | c2_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | ~ c1_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp17
          | hskp14
          | ! [X31] :
              ( ndr1_0
             => ( ~ c2_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp16
          | hskp15
          | ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp14
          | hskp1
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp11
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c2_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c1_1(X27)
                | c3_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp13
          | hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( hskp8
          | hskp28
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp12
          | hskp11
          | ! [X24] :
              ( ndr1_0
             => ( c3_1(X24)
                | c2_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp10
          | hskp6
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp9
          | hskp28
          | ! [X22] :
              ( ndr1_0
             => ( c3_1(X22)
                | c2_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp5
          | ! [X21] :
              ( ndr1_0
             => ( ~ c0_1(X21)
                | c3_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( c3_1(X20)
                | c2_1(X20)
                | c0_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c1_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c2_1(X18)
                | c0_1(X18) ) )
          | ! [X17] :
              ( ndr1_0
             => ( c3_1(X17)
                | c2_1(X17)
                | c0_1(X17) ) ) )
        & ( hskp7
          | hskp8
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp7
          | hskp6
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp5
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp1
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c2_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c2_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c2_1(X9)
                | c1_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp4
          | hskp0
          | ! [X7] :
              ( ndr1_0
             => ( c2_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp3
          | hskp2
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp28
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c2_1(X4)
                | c1_1(X4)
                | c0_1(X4) ) ) )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c3_1(X3)
                | c1_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c2_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp0
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2387)
            & c2_1(a2387)
            & c0_1(a2387)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a2315)
            & c2_1(a2315)
            & c1_1(a2315)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a2309)
            & c1_1(a2309)
            & c0_1(a2309)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a2278)
            & c1_1(a2278)
            & c0_1(a2278)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c0_1(a2367)
            & c2_1(a2367)
            & c1_1(a2367)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c1_1(a2345)
            & ~ c0_1(a2345)
            & c3_1(a2345)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2342)
            & c3_1(a2342)
            & c0_1(a2342)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a2337)
            & c3_1(a2337)
            & c0_1(a2337)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2327)
            & ~ c0_1(a2327)
            & c3_1(a2327)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c1_1(a2325)
            & ~ c0_1(a2325)
            & c2_1(a2325)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2324)
            & ~ c0_1(a2324)
            & c1_1(a2324)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c1_1(a2323)
            & c3_1(a2323)
            & c2_1(a2323)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2316)
            & ~ c2_1(a2316)
            & c1_1(a2316)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2308)
            & ~ c1_1(a2308)
            & c3_1(a2308)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a2306)
            & ~ c2_1(a2306)
            & ~ c1_1(a2306)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2304)
            & ~ c2_1(a2304)
            & ~ c0_1(a2304)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a2303)
            & c2_1(a2303)
            & c1_1(a2303)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c0_1(a2302)
            & c3_1(a2302)
            & c2_1(a2302)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2299)
            & ~ c1_1(a2299)
            & c2_1(a2299)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2295)
            & ~ c1_1(a2295)
            & c0_1(a2295)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a2294)
            & ~ c1_1(a2294)
            & c0_1(a2294)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a2293)
            & c2_1(a2293)
            & c0_1(a2293)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c2_1(a2291)
            & ~ c1_1(a2291)
            & ~ c0_1(a2291)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a2287)
            & c2_1(a2287)
            & c0_1(a2287)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a2286)
            & ~ c0_1(a2286)
            & c1_1(a2286)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2285)
            & c1_1(a2285)
            & c0_1(a2285)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a2284)
            & ~ c1_1(a2284)
            & ~ c0_1(a2284)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2282)
            & ~ c0_1(a2282)
            & c2_1(a2282)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c2_1(a2280)
            & c3_1(a2280)
            & c1_1(a2280)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2279)
            & ~ c2_1(a2279)
            & c0_1(a2279)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a2277)
            & c1_1(a2277)
            & c0_1(a2277)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2276)
            & c3_1(a2276)
            & c1_1(a2276)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp22
        | hskp14
        | hskp3 )
      & ( hskp13
        | hskp22
        | hskp24 )
      & ( hskp19
        | hskp10
        | hskp8 )
      & ( hskp18
        | hskp22
        | hskp31 )
      & ( hskp14
        | hskp7
        | hskp31 )
      & ( hskp0
        | hskp12
        | hskp6 )
      & ( hskp30
        | hskp11
        | hskp6 )
      & ( hskp20
        | hskp14
        | hskp1 )
      & ( hskp16
        | hskp26
        | hskp28 )
      & ( hskp13
        | hskp0
        | hskp28 )
      & ( hskp3
        | hskp27
        | hskp29 )
      & ( hskp9
        | hskp27
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c2_1(X96)
              | ~ c1_1(X96) ) ) )
      & ( hskp23
        | hskp25
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c2_1(X95)
              | ~ c1_1(X95) ) ) )
      & ( hskp5
        | hskp8
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | ~ c1_1(X94) ) ) )
      & ( hskp18
        | hskp13
        | ! [X93] :
            ( ndr1_0
           => ( ~ c2_1(X93)
              | ~ c1_1(X93)
              | ~ c0_1(X93) ) ) )
      & ( hskp18
        | hskp2
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | ~ c1_1(X92)
              | ~ c0_1(X92) ) ) )
      & ( hskp19
        | hskp7
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | ~ c1_1(X91)
              | c3_1(X91) ) ) )
      & ( hskp16
        | hskp30
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | ~ c0_1(X90)
              | c3_1(X90) ) ) )
      & ( hskp4
        | hskp2
        | ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) ) )
      & ( hskp16
        | hskp21
        | ! [X88] :
            ( ndr1_0
           => ( ~ c1_1(X88)
              | ~ c0_1(X88)
              | c3_1(X88) ) ) )
      & ( hskp3
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | ~ c2_1(X87)
              | ~ c0_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( ~ c1_1(X86)
              | ~ c0_1(X86)
              | c3_1(X86) ) ) )
      & ( hskp21
        | hskp30
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c1_1(X85)
              | c2_1(X85) ) ) )
      & ( hskp19
        | hskp12
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c2_1(X84) ) ) )
      & ( hskp26
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | c3_1(X82)
              | c2_1(X82) ) ) )
      & ( hskp25
        | hskp24
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c3_1(X81)
              | c2_1(X81) ) ) )
      & ( hskp25
        | ! [X80] :
            ( ndr1_0
           => ( ~ c2_1(X80)
              | ~ c0_1(X80)
              | c3_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c0_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) ) )
      & ( hskp14
        | ! [X78] :
            ( ndr1_0
           => ( ~ c1_1(X78)
              | ~ c0_1(X78)
              | c2_1(X78) ) )
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) ) )
      & ( hskp4
        | hskp3
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c1_1(X76) ) ) )
      & ( hskp21
        | hskp24
        | ! [X75] :
            ( ndr1_0
           => ( ~ c3_1(X75)
              | ~ c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp4
        | hskp1
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | c1_1(X74) ) ) )
      & ( hskp4
        | hskp19
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c0_1(X73)
              | c1_1(X73) ) ) )
      & ( ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c1_1(X72)
              | ~ c0_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c1_1(X71)
              | ~ c0_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c3_1(X70)
              | ~ c0_1(X70)
              | c1_1(X70) ) ) )
      & ( hskp12
        | ! [X69] :
            ( ndr1_0
           => ( ~ c2_1(X69)
              | ~ c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c0_1(X68)
              | c1_1(X68) ) ) )
      & ( hskp0
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | ~ c0_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) ) )
      & ( hskp23
        | ! [X65] :
            ( ndr1_0
           => ( ~ c1_1(X65)
              | ~ c0_1(X65)
              | c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | c3_1(X64)
              | c1_1(X64) ) ) )
      & ( hskp12
        | ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | c3_1(X63)
              | c1_1(X63) ) ) )
      & ( hskp1
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | ~ c0_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c0_1(X61)
              | c3_1(X61)
              | c1_1(X61) ) ) )
      & ( hskp23
        | ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c0_1(X59)
              | c3_1(X59)
              | c1_1(X59) ) ) )
      & ( hskp0
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c0_1(X57)
              | c2_1(X57)
              | c1_1(X57) ) ) )
      & ( hskp22
        | hskp21
        | ! [X56] :
            ( ndr1_0
           => ( c3_1(X56)
              | c2_1(X56)
              | c1_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c2_1(X55)
              | ~ c1_1(X55)
              | ~ c0_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( c3_1(X53)
              | c2_1(X53)
              | c1_1(X53) ) ) )
      & ( hskp20
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp19
        | hskp30
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | ~ c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | hskp12
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp8
        | hskp29
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp19
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c2_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | ~ c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp30
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | c3_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp8
        | ! [X44] :
            ( ndr1_0
           => ( ~ c0_1(X44)
              | c3_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c3_1(X43)
              | ~ c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp17
        | hskp14
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c1_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp0
        | ! [X41] :
            ( ndr1_0
           => ( ~ c3_1(X41)
              | ~ c2_1(X41)
              | c0_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | ~ c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | hskp29
        | ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c0_1(X39) ) ) )
      & ( hskp18
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c2_1(X38)
              | ~ c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c1_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c1_1(X36)
              | c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c0_1(X35)
              | c3_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp17
        | ! [X33] :
            ( ndr1_0
           => ( ~ c1_1(X33)
              | c3_1(X33)
              | c2_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | ~ c1_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp17
        | hskp14
        | ! [X31] :
            ( ndr1_0
           => ( ~ c2_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp16
        | hskp15
        | ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp14
        | hskp1
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp11
        | ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c3_1(X28)
              | c2_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c1_1(X27)
              | c3_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp13
        | hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( hskp8
        | hskp28
        | ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp12
        | hskp11
        | ! [X24] :
            ( ndr1_0
           => ( c3_1(X24)
              | c2_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp10
        | hskp6
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp9
        | hskp28
        | ! [X22] :
            ( ndr1_0
           => ( c3_1(X22)
              | c2_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp5
        | ! [X21] :
            ( ndr1_0
           => ( ~ c0_1(X21)
              | c3_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( c3_1(X20)
              | c2_1(X20)
              | c0_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | ~ c1_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c2_1(X18)
              | c0_1(X18) ) )
        | ! [X17] :
            ( ndr1_0
           => ( c3_1(X17)
              | c2_1(X17)
              | c0_1(X17) ) ) )
      & ( hskp7
        | hskp8
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp7
        | hskp6
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp5
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | ~ c0_1(X14)
              | c3_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp1
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c1_1(X12)
              | c2_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c2_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c2_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c2_1(X9)
              | c1_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp4
        | hskp0
        | ! [X7] :
            ( ndr1_0
           => ( c2_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp3
        | hskp2
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp28
        | ! [X5] :
            ( ndr1_0
           => ( ~ c3_1(X5)
              | ~ c1_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c2_1(X4)
              | c1_1(X4)
              | c0_1(X4) ) ) )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c3_1(X3)
              | c1_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c2_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp0
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2387)
          & c2_1(a2387)
          & c0_1(a2387)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a2315)
          & c2_1(a2315)
          & c1_1(a2315)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a2309)
          & c1_1(a2309)
          & c0_1(a2309)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a2278)
          & c1_1(a2278)
          & c0_1(a2278)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c0_1(a2367)
          & c2_1(a2367)
          & c1_1(a2367)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c1_1(a2345)
          & ~ c0_1(a2345)
          & c3_1(a2345)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2342)
          & c3_1(a2342)
          & c0_1(a2342)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a2337)
          & c3_1(a2337)
          & c0_1(a2337)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a2327)
          & ~ c0_1(a2327)
          & c3_1(a2327)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c1_1(a2325)
          & ~ c0_1(a2325)
          & c2_1(a2325)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a2324)
          & ~ c0_1(a2324)
          & c1_1(a2324)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c1_1(a2323)
          & c3_1(a2323)
          & c2_1(a2323)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2316)
          & ~ c2_1(a2316)
          & c1_1(a2316)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a2308)
          & ~ c1_1(a2308)
          & c3_1(a2308)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a2306)
          & ~ c2_1(a2306)
          & ~ c1_1(a2306)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2304)
          & ~ c2_1(a2304)
          & ~ c0_1(a2304)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a2303)
          & c2_1(a2303)
          & c1_1(a2303)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c0_1(a2302)
          & c3_1(a2302)
          & c2_1(a2302)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a2299)
          & ~ c1_1(a2299)
          & c2_1(a2299)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2295)
          & ~ c1_1(a2295)
          & c0_1(a2295)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a2294)
          & ~ c1_1(a2294)
          & c0_1(a2294)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a2293)
          & c2_1(a2293)
          & c0_1(a2293)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c2_1(a2291)
          & ~ c1_1(a2291)
          & ~ c0_1(a2291)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a2287)
          & c2_1(a2287)
          & c0_1(a2287)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a2286)
          & ~ c0_1(a2286)
          & c1_1(a2286)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2285)
          & c1_1(a2285)
          & c0_1(a2285)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a2284)
          & ~ c1_1(a2284)
          & ~ c0_1(a2284)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a2282)
          & ~ c0_1(a2282)
          & c2_1(a2282)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c2_1(a2280)
          & c3_1(a2280)
          & c1_1(a2280)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2279)
          & ~ c2_1(a2279)
          & c0_1(a2279)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a2277)
          & c1_1(a2277)
          & c0_1(a2277)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a2276)
          & c3_1(a2276)
          & c1_1(a2276)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/tmp/tmp.6qCTcnCjGT/Vampire---4.8_3474',co1) ).

fof(f940,plain,
    ( ~ spl0_14
    | spl0_159 ),
    inference(avatar_split_clause,[],[f8,f938,f283]) ).

fof(f8,plain,
    ( c1_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f936,plain,
    ( ~ spl0_14
    | spl0_158 ),
    inference(avatar_split_clause,[],[f9,f934,f283]) ).

fof(f9,plain,
    ( c3_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f932,plain,
    ( ~ spl0_14
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f10,f930,f283]) ).

fof(f10,plain,
    ( ~ c0_1(a2276)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f926,plain,
    ( ~ spl0_17
    | spl0_156 ),
    inference(avatar_split_clause,[],[f12,f924,f294]) ).

fof(f294,plain,
    ( spl0_17
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f12,plain,
    ( c0_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_17
    | spl0_155 ),
    inference(avatar_split_clause,[],[f13,f920,f294]) ).

fof(f13,plain,
    ( c1_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_17
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f14,f916,f294]) ).

fof(f14,plain,
    ( ~ c2_1(a2277)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f913,plain,
    ( ~ spl0_31
    | spl0_153 ),
    inference(avatar_split_clause,[],[f16,f911,f344]) ).

fof(f344,plain,
    ( spl0_31
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f16,plain,
    ( c0_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_31
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f17,f907,f344]) ).

fof(f17,plain,
    ( ~ c2_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_31
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f18,f903,f344]) ).

fof(f18,plain,
    ( ~ c3_1(a2279)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_1
    | spl0_150 ),
    inference(avatar_split_clause,[],[f20,f897,f239]) ).

fof(f239,plain,
    ( spl0_1
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f20,plain,
    ( c1_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f895,plain,
    ( ~ spl0_1
    | spl0_149 ),
    inference(avatar_split_clause,[],[f21,f893,f239]) ).

fof(f21,plain,
    ( c3_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f891,plain,
    ( ~ spl0_1
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f22,f889,f239]) ).

fof(f22,plain,
    ( ~ c2_1(a2280)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( ~ spl0_34
    | spl0_147 ),
    inference(avatar_split_clause,[],[f24,f884,f356]) ).

fof(f356,plain,
    ( spl0_34
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f24,plain,
    ( c2_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f882,plain,
    ( ~ spl0_34
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f25,f880,f356]) ).

fof(f25,plain,
    ( ~ c0_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( ~ spl0_34
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f26,f876,f356]) ).

fof(f26,plain,
    ( ~ c3_1(a2282)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f860,plain,
    ( ~ spl0_12
    | spl0_24 ),
    inference(avatar_split_clause,[],[f31,f319,f277]) ).

fof(f277,plain,
    ( spl0_12
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f31,plain,
    ( ndr1_0
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f859,plain,
    ( ~ spl0_12
    | spl0_141 ),
    inference(avatar_split_clause,[],[f32,f857,f277]) ).

fof(f32,plain,
    ( c0_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f855,plain,
    ( ~ spl0_12
    | spl0_140 ),
    inference(avatar_split_clause,[],[f33,f853,f277]) ).

fof(f33,plain,
    ( c1_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_12
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f34,f849,f277]) ).

fof(f34,plain,
    ( ~ c3_1(a2285)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f845,plain,
    ( ~ spl0_11
    | spl0_138 ),
    inference(avatar_split_clause,[],[f36,f843,f273]) ).

fof(f273,plain,
    ( spl0_11
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f36,plain,
    ( c1_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f841,plain,
    ( ~ spl0_11
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f37,f839,f273]) ).

fof(f37,plain,
    ( ~ c0_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_11
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f38,f835,f273]) ).

fof(f38,plain,
    ( ~ c2_1(a2286)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f831,plain,
    ( ~ spl0_6
    | spl0_135 ),
    inference(avatar_split_clause,[],[f40,f829,f256]) ).

fof(f256,plain,
    ( spl0_6
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f40,plain,
    ( c0_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_6
    | spl0_134 ),
    inference(avatar_split_clause,[],[f41,f825,f256]) ).

fof(f41,plain,
    ( c2_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f823,plain,
    ( ~ spl0_6
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f42,f821,f256]) ).

fof(f42,plain,
    ( ~ c1_1(a2287)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f818,plain,
    ( ~ spl0_26
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f44,f816,f325]) ).

fof(f325,plain,
    ( spl0_26
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f44,plain,
    ( ~ c0_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_26
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f45,f812,f325]) ).

fof(f45,plain,
    ( ~ c1_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_26
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f46,f808,f325]) ).

fof(f46,plain,
    ( ~ c2_1(a2291)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_15
    | spl0_126 ),
    inference(avatar_split_clause,[],[f52,f788,f287]) ).

fof(f287,plain,
    ( spl0_15
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f52,plain,
    ( c0_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f786,plain,
    ( ~ spl0_15
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f53,f784,f287]) ).

fof(f53,plain,
    ( ~ c1_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_15
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f54,f780,f287]) ).

fof(f54,plain,
    ( ~ c2_1(a2294)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_13
    | spl0_24 ),
    inference(avatar_split_clause,[],[f55,f319,f280]) ).

fof(f280,plain,
    ( spl0_13
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f55,plain,
    ( ndr1_0
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f776,plain,
    ( ~ spl0_13
    | spl0_123 ),
    inference(avatar_split_clause,[],[f56,f774,f280]) ).

fof(f56,plain,
    ( c0_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f772,plain,
    ( ~ spl0_13
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f57,f770,f280]) ).

fof(f57,plain,
    ( ~ c1_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f768,plain,
    ( ~ spl0_13
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f58,f766,f280]) ).

fof(f58,plain,
    ( ~ c3_1(a2295)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( ~ spl0_5
    | spl0_120 ),
    inference(avatar_split_clause,[],[f60,f760,f252]) ).

fof(f252,plain,
    ( spl0_5
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f60,plain,
    ( c2_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f758,plain,
    ( ~ spl0_5
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f61,f756,f252]) ).

fof(f61,plain,
    ( ~ c1_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f754,plain,
    ( ~ spl0_5
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f62,f752,f252]) ).

fof(f62,plain,
    ( ~ c3_1(a2299)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f748,plain,
    ( ~ spl0_2
    | spl0_117 ),
    inference(avatar_split_clause,[],[f64,f746,f242]) ).

fof(f242,plain,
    ( spl0_2
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f64,plain,
    ( c2_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f744,plain,
    ( ~ spl0_2
    | spl0_116 ),
    inference(avatar_split_clause,[],[f65,f742,f242]) ).

fof(f65,plain,
    ( c3_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f740,plain,
    ( ~ spl0_2
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f66,f738,f242]) ).

fof(f66,plain,
    ( ~ c0_1(a2302)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f735,plain,
    ( ~ spl0_57
    | spl0_114 ),
    inference(avatar_split_clause,[],[f68,f733,f462]) ).

fof(f462,plain,
    ( spl0_57
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f68,plain,
    ( c1_1(a2303)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f731,plain,
    ( ~ spl0_57
    | spl0_113 ),
    inference(avatar_split_clause,[],[f69,f729,f462]) ).

fof(f69,plain,
    ( c2_1(a2303)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f727,plain,
    ( ~ spl0_57
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f70,f725,f462]) ).

fof(f70,plain,
    ( ~ c3_1(a2303)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f721,plain,
    ( ~ spl0_21
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f72,f719,f307]) ).

fof(f307,plain,
    ( spl0_21
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f72,plain,
    ( ~ c0_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_21
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f73,f715,f307]) ).

fof(f73,plain,
    ( ~ c2_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( ~ spl0_21
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f74,f711,f307]) ).

fof(f74,plain,
    ( ~ c3_1(a2304)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f708,plain,
    ( ~ spl0_53
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f76,f706,f443]) ).

fof(f443,plain,
    ( spl0_53
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f76,plain,
    ( ~ c1_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( ~ spl0_53
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f77,f702,f443]) ).

fof(f77,plain,
    ( ~ c2_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( ~ spl0_53
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f78,f698,f443]) ).

fof(f78,plain,
    ( ~ c3_1(a2306)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f694,plain,
    ( ~ spl0_10
    | spl0_105 ),
    inference(avatar_split_clause,[],[f80,f692,f269]) ).

fof(f269,plain,
    ( spl0_10
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f80,plain,
    ( c3_1(a2308)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f690,plain,
    ( ~ spl0_10
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f81,f688,f269]) ).

fof(f81,plain,
    ( ~ c1_1(a2308)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_10
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f82,f684,f269]) ).

fof(f82,plain,
    ( ~ c2_1(a2308)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_8
    | spl0_102 ),
    inference(avatar_split_clause,[],[f84,f678,f262]) ).

fof(f262,plain,
    ( spl0_8
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f84,plain,
    ( c1_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f676,plain,
    ( ~ spl0_8
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f85,f674,f262]) ).

fof(f85,plain,
    ( ~ c2_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( ~ spl0_8
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f86,f670,f262]) ).

fof(f86,plain,
    ( ~ c3_1(a2316)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_18
    | spl0_99 ),
    inference(avatar_split_clause,[],[f88,f664,f297]) ).

fof(f297,plain,
    ( spl0_18
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f88,plain,
    ( c2_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f662,plain,
    ( ~ spl0_18
    | spl0_98 ),
    inference(avatar_split_clause,[],[f89,f660,f297]) ).

fof(f89,plain,
    ( c3_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f658,plain,
    ( ~ spl0_18
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f90,f656,f297]) ).

fof(f90,plain,
    ( ~ c1_1(a2323)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f653,plain,
    ( ~ spl0_36
    | spl0_96 ),
    inference(avatar_split_clause,[],[f92,f651,f363]) ).

fof(f363,plain,
    ( spl0_36
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f92,plain,
    ( c1_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_36
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f93,f647,f363]) ).

fof(f93,plain,
    ( ~ c0_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_36
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f94,f643,f363]) ).

fof(f94,plain,
    ( ~ c3_1(a2324)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f639,plain,
    ( ~ spl0_3
    | spl0_93 ),
    inference(avatar_split_clause,[],[f96,f637,f245]) ).

fof(f245,plain,
    ( spl0_3
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f96,plain,
    ( c2_1(a2325)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f635,plain,
    ( ~ spl0_3
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f97,f633,f245]) ).

fof(f97,plain,
    ( ~ c0_1(a2325)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f631,plain,
    ( ~ spl0_3
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f98,f629,f245]) ).

fof(f98,plain,
    ( ~ c1_1(a2325)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f626,plain,
    ( ~ spl0_28
    | spl0_90 ),
    inference(avatar_split_clause,[],[f100,f624,f332]) ).

fof(f332,plain,
    ( spl0_28
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f100,plain,
    ( c3_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_28
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f101,f620,f332]) ).

fof(f101,plain,
    ( ~ c0_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f618,plain,
    ( ~ spl0_28
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f102,f616,f332]) ).

fof(f102,plain,
    ( ~ c2_1(a2327)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f612,plain,
    ( ~ spl0_4
    | spl0_87 ),
    inference(avatar_split_clause,[],[f104,f610,f249]) ).

fof(f249,plain,
    ( spl0_4
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f104,plain,
    ( c0_1(a2337)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f608,plain,
    ( ~ spl0_4
    | spl0_86 ),
    inference(avatar_split_clause,[],[f105,f606,f249]) ).

fof(f105,plain,
    ( c3_1(a2337)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f604,plain,
    ( ~ spl0_4
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f106,f602,f249]) ).

fof(f106,plain,
    ( ~ c1_1(a2337)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f599,plain,
    ( ~ spl0_27
    | spl0_84 ),
    inference(avatar_split_clause,[],[f108,f597,f329]) ).

fof(f329,plain,
    ( spl0_27
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f108,plain,
    ( c0_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f595,plain,
    ( ~ spl0_27
    | spl0_83 ),
    inference(avatar_split_clause,[],[f109,f593,f329]) ).

fof(f109,plain,
    ( c3_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f591,plain,
    ( ~ spl0_27
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f110,f589,f329]) ).

fof(f110,plain,
    ( ~ c2_1(a2342)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_20
    | spl0_81 ),
    inference(avatar_split_clause,[],[f112,f583,f304]) ).

fof(f304,plain,
    ( spl0_20
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f112,plain,
    ( c3_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_20
    | ~ spl0_80 ),
    inference(avatar_split_clause,[],[f113,f579,f304]) ).

fof(f113,plain,
    ( ~ c0_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f577,plain,
    ( ~ spl0_20
    | ~ spl0_79 ),
    inference(avatar_split_clause,[],[f114,f575,f304]) ).

fof(f114,plain,
    ( ~ c1_1(a2345)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f571,plain,
    ( ~ spl0_23
    | spl0_78 ),
    inference(avatar_split_clause,[],[f116,f569,f315]) ).

fof(f315,plain,
    ( spl0_23
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f116,plain,
    ( c1_1(a2367)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f567,plain,
    ( ~ spl0_23
    | spl0_77 ),
    inference(avatar_split_clause,[],[f117,f565,f315]) ).

fof(f117,plain,
    ( c2_1(a2367)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f563,plain,
    ( ~ spl0_23
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f118,f561,f315]) ).

fof(f118,plain,
    ( ~ c0_1(a2367)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f557,plain,
    ( ~ spl0_19
    | spl0_75 ),
    inference(avatar_split_clause,[],[f120,f555,f301]) ).

fof(f301,plain,
    ( spl0_19
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f120,plain,
    ( c0_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( ~ spl0_19
    | spl0_74 ),
    inference(avatar_split_clause,[],[f121,f551,f301]) ).

fof(f121,plain,
    ( c1_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( ~ spl0_19
    | spl0_73 ),
    inference(avatar_split_clause,[],[f122,f547,f301]) ).

fof(f122,plain,
    ( c3_1(a2278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( ~ spl0_22
    | spl0_72 ),
    inference(avatar_split_clause,[],[f124,f541,f312]) ).

fof(f312,plain,
    ( spl0_22
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f124,plain,
    ( c0_1(a2309)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f539,plain,
    ( ~ spl0_22
    | spl0_71 ),
    inference(avatar_split_clause,[],[f125,f537,f312]) ).

fof(f125,plain,
    ( c1_1(a2309)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f535,plain,
    ( ~ spl0_22
    | spl0_70 ),
    inference(avatar_split_clause,[],[f126,f533,f312]) ).

fof(f126,plain,
    ( c2_1(a2309)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( ~ spl0_16
    | spl0_69 ),
    inference(avatar_split_clause,[],[f128,f527,f290]) ).

fof(f290,plain,
    ( spl0_16
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f128,plain,
    ( c1_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( ~ spl0_16
    | spl0_68 ),
    inference(avatar_split_clause,[],[f129,f523,f290]) ).

fof(f129,plain,
    ( c2_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( ~ spl0_16
    | spl0_67 ),
    inference(avatar_split_clause,[],[f130,f519,f290]) ).

fof(f130,plain,
    ( c3_1(a2315)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( ~ spl0_9
    | spl0_66 ),
    inference(avatar_split_clause,[],[f132,f512,f266]) ).

fof(f266,plain,
    ( spl0_9
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f132,plain,
    ( c0_1(a2387)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( ~ spl0_9
    | spl0_65 ),
    inference(avatar_split_clause,[],[f133,f508,f266]) ).

fof(f133,plain,
    ( c2_1(a2387)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( ~ spl0_9
    | spl0_64 ),
    inference(avatar_split_clause,[],[f134,f504,f266]) ).

fof(f134,plain,
    ( c3_1(a2387)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( spl0_63
    | ~ spl0_24
    | spl0_47
    | spl0_17 ),
    inference(avatar_split_clause,[],[f211,f294,f410,f319,f495]) ).

fof(f211,plain,
    ! [X94,X93] :
      ( hskp1
      | ~ c2_1(X93)
      | c3_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | c2_1(X94)
      | c1_1(X94)
      | c0_1(X94) ),
    inference(duplicate_literal_removal,[],[f136]) ).

fof(f136,plain,
    ! [X94,X93] :
      ( hskp1
      | ~ c2_1(X93)
      | c3_1(X93)
      | c1_1(X93)
      | ~ ndr1_0
      | c2_1(X94)
      | c1_1(X94)
      | c0_1(X94)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( spl0_63
    | ~ spl0_24
    | spl0_38
    | spl0_19 ),
    inference(avatar_split_clause,[],[f212,f301,f371,f319,f495]) ).

fof(f212,plain,
    ! [X91,X92] :
      ( hskp28
      | ~ c3_1(X91)
      | ~ c1_1(X91)
      | c2_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | c1_1(X92)
      | c0_1(X92) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X91,X92] :
      ( hskp28
      | ~ c3_1(X91)
      | ~ c1_1(X91)
      | c2_1(X91)
      | ~ ndr1_0
      | c2_1(X92)
      | c1_1(X92)
      | c0_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f498,plain,
    ( ~ spl0_24
    | spl0_63
    | spl0_31
    | spl0_1 ),
    inference(avatar_split_clause,[],[f138,f239,f344,f495,f319]) ).

fof(f138,plain,
    ! [X90] :
      ( hskp3
      | hskp2
      | c2_1(X90)
      | c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f497,plain,
    ( ~ spl0_24
    | spl0_63
    | spl0_14
    | spl0_34 ),
    inference(avatar_split_clause,[],[f139,f356,f283,f495,f319]) ).

fof(f139,plain,
    ! [X89] :
      ( hskp4
      | hskp0
      | c2_1(X89)
      | c1_1(X89)
      | c0_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( spl0_62
    | spl0_44
    | ~ spl0_24
    | spl0_38 ),
    inference(avatar_split_clause,[],[f213,f371,f319,f395,f490]) ).

fof(f213,plain,
    ! [X88,X86,X87] :
      ( ~ c3_1(X86)
      | ~ c1_1(X86)
      | c2_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | c1_1(X87)
      | ~ c2_1(X88)
      | c1_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X88,X86,X87] :
      ( ~ c3_1(X86)
      | ~ c1_1(X86)
      | c2_1(X86)
      | ~ ndr1_0
      | ~ c3_1(X87)
      | ~ c2_1(X87)
      | c1_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f492,plain,
    ( spl0_62
    | ~ spl0_24
    | spl0_38
    | spl0_17 ),
    inference(avatar_split_clause,[],[f214,f294,f371,f319,f490]) ).

fof(f214,plain,
    ! [X84,X85] :
      ( hskp1
      | ~ c3_1(X84)
      | ~ c1_1(X84)
      | c2_1(X84)
      | ~ ndr1_0
      | ~ c2_1(X85)
      | c1_1(X85)
      | c0_1(X85) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X84,X85] :
      ( hskp1
      | ~ c3_1(X84)
      | ~ c1_1(X84)
      | c2_1(X84)
      | ~ ndr1_0
      | ~ c2_1(X85)
      | c1_1(X85)
      | c0_1(X85)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( ~ spl0_24
    | spl0_61
    | spl0_12
    | spl0_11 ),
    inference(avatar_split_clause,[],[f143,f273,f277,f484,f319]) ).

fof(f143,plain,
    ! [X81] :
      ( hskp7
      | hskp6
      | ~ c3_1(X81)
      | c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( ~ spl0_24
    | spl0_61
    | spl0_6
    | spl0_11 ),
    inference(avatar_split_clause,[],[f144,f273,f256,f484,f319]) ).

fof(f144,plain,
    ! [X80] :
      ( hskp7
      | hskp8
      | ~ c3_1(X80)
      | c1_1(X80)
      | c0_1(X80)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f482,plain,
    ( spl0_60
    | spl0_58
    | ~ spl0_24
    | spl0_54 ),
    inference(avatar_split_clause,[],[f216,f448,f319,f468,f476]) ).

fof(f216,plain,
    ! [X78,X79,X77] :
      ( ~ c2_1(X77)
      | ~ c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | c3_1(X79)
      | c2_1(X79)
      | c0_1(X79) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X78,X79,X77] :
      ( ~ c2_1(X77)
      | ~ c1_1(X77)
      | c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0
      | c3_1(X79)
      | c2_1(X79)
      | c0_1(X79)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( ~ spl0_24
    | spl0_60
    | spl0_19
    | spl0_26 ),
    inference(avatar_split_clause,[],[f147,f325,f301,f476,f319]) ).

fof(f147,plain,
    ! [X74] :
      ( hskp9
      | hskp28
      | c3_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f474,plain,
    ( ~ spl0_24
    | spl0_59
    | spl0_19
    | spl0_6 ),
    inference(avatar_split_clause,[],[f150,f256,f301,f472,f319]) ).

fof(f150,plain,
    ! [X71] :
      ( hskp8
      | hskp28
      | ~ c1_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( ~ spl0_24
    | spl0_58
    | spl0_34
    | spl0_5 ),
    inference(avatar_split_clause,[],[f151,f252,f356,f468,f319]) ).

fof(f151,plain,
    ! [X70] :
      ( hskp13
      | hskp4
      | ~ c3_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_56
    | ~ spl0_24
    | spl0_42
    | spl0_15 ),
    inference(avatar_split_clause,[],[f218,f287,f386,f319,f459]) ).

fof(f218,plain,
    ! [X68,X69] :
      ( hskp11
      | ~ c0_1(X68)
      | c3_1(X68)
      | c2_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c3_1(X69)
      | c0_1(X69) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X68,X69] :
      ( hskp11
      | ~ c0_1(X68)
      | c3_1(X68)
      | c2_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c3_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( ~ spl0_24
    | spl0_56
    | spl0_17
    | spl0_2 ),
    inference(avatar_split_clause,[],[f153,f242,f294,f459,f319]) ).

fof(f153,plain,
    ! [X67] :
      ( hskp14
      | hskp1
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( ~ spl0_24
    | spl0_56
    | spl0_57
    | spl0_21 ),
    inference(avatar_split_clause,[],[f154,f307,f462,f459,f319]) ).

fof(f154,plain,
    ! [X66] :
      ( hskp16
      | hskp15
      | ~ c1_1(X66)
      | c3_1(X66)
      | c0_1(X66)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f457,plain,
    ( ~ spl0_24
    | spl0_55
    | spl0_2
    | spl0_53 ),
    inference(avatar_split_clause,[],[f155,f443,f242,f455,f319]) ).

fof(f155,plain,
    ! [X65] :
      ( hskp17
      | hskp14
      | ~ c2_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f453,plain,
    ( spl0_54
    | ~ spl0_24
    | spl0_40
    | spl0_53 ),
    inference(avatar_split_clause,[],[f219,f443,f379,f319,f448]) ).

fof(f219,plain,
    ! [X63,X64] :
      ( hskp17
      | ~ c1_1(X63)
      | c3_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X63,X64] :
      ( hskp17
      | ~ c1_1(X63)
      | c3_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c2_1(X64)
      | ~ c1_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f452,plain,
    ( spl0_54
    | spl0_33
    | ~ spl0_24
    | spl0_32 ),
    inference(avatar_split_clause,[],[f220,f348,f319,f352,f448]) ).

fof(f220,plain,
    ! [X62,X60,X61] :
      ( ~ c2_1(X60)
      | ~ c1_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X62,X60,X61] :
      ( ~ c2_1(X60)
      | ~ c1_1(X60)
      | c3_1(X60)
      | ~ ndr1_0
      | ~ c2_1(X61)
      | ~ c0_1(X61)
      | c3_1(X61)
      | ~ ndr1_0
      | ~ c2_1(X62)
      | ~ c1_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( spl0_54
    | ~ spl0_24
    | spl0_37
    | spl0_10 ),
    inference(avatar_split_clause,[],[f221,f269,f367,f319,f448]) ).

fof(f221,plain,
    ! [X58,X59] :
      ( hskp18
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f158]) ).

fof(f158,plain,
    ! [X58,X59] :
      ( hskp18
      | ~ c3_1(X58)
      | ~ c2_1(X58)
      | ~ c0_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | ~ c1_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_24
    | spl0_54
    | spl0_22
    | spl0_6 ),
    inference(avatar_split_clause,[],[f159,f256,f312,f448,f319]) ).

fof(f159,plain,
    ! [X57] :
      ( hskp8
      | hskp29
      | ~ c2_1(X57)
      | ~ c1_1(X57)
      | c0_1(X57)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( ~ spl0_24
    | spl0_52
    | spl0_2
    | spl0_53 ),
    inference(avatar_split_clause,[],[f161,f443,f242,f440,f319]) ).

fof(f161,plain,
    ! [X54] :
      ( hskp17
      | hskp14
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f438,plain,
    ( spl0_51
    | ~ spl0_24
    | spl0_48
    | spl0_6 ),
    inference(avatar_split_clause,[],[f223,f256,f415,f319,f430]) ).

fof(f223,plain,
    ! [X52,X53] :
      ( hskp8
      | ~ c0_1(X52)
      | c3_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X52,X53] :
      ( hskp8
      | ~ c0_1(X52)
      | c3_1(X52)
      | c1_1(X52)
      | ~ ndr1_0
      | ~ c3_1(X53)
      | ~ c2_1(X53)
      | c0_1(X53)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f437,plain,
    ( spl0_51
    | ~ spl0_24
    | spl0_47
    | spl0_16 ),
    inference(avatar_split_clause,[],[f224,f290,f410,f319,f430]) ).

fof(f224,plain,
    ! [X50,X51] :
      ( hskp30
      | ~ c2_1(X50)
      | c3_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X50,X51] :
      ( hskp30
      | ~ c2_1(X50)
      | c3_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( ~ spl0_24
    | spl0_51
    | spl0_13
    | spl0_5 ),
    inference(avatar_split_clause,[],[f166,f252,f280,f430,f319]) ).

fof(f166,plain,
    ! [X46] :
      ( hskp13
      | hskp12
      | ~ c3_1(X46)
      | ~ c2_1(X46)
      | c0_1(X46)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f432,plain,
    ( ~ spl0_24
    | spl0_51
    | spl0_18 ),
    inference(avatar_split_clause,[],[f168,f297,f430,f319]) ).

fof(f168,plain,
    ! [X44] :
      ( hskp20
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f428,plain,
    ( spl0_50
    | spl0_39
    | ~ spl0_24
    | spl0_30 ),
    inference(avatar_split_clause,[],[f226,f340,f319,f375,f425]) ).

fof(f226,plain,
    ! [X41,X42,X43] :
      ( ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c0_1(X42)
      | c2_1(X42)
      | c3_1(X43)
      | c2_1(X43)
      | c1_1(X43) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X41,X42,X43] :
      ( ~ c2_1(X41)
      | ~ c1_1(X41)
      | ~ c0_1(X41)
      | ~ ndr1_0
      | ~ c3_1(X42)
      | ~ c0_1(X42)
      | c2_1(X42)
      | ~ ndr1_0
      | c3_1(X43)
      | c2_1(X43)
      | c1_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f427,plain,
    ( ~ spl0_24
    | spl0_50
    | spl0_36
    | spl0_3 ),
    inference(avatar_split_clause,[],[f170,f245,f363,f425,f319]) ).

fof(f170,plain,
    ! [X40] :
      ( hskp22
      | hskp21
      | c3_1(X40)
      | c2_1(X40)
      | c1_1(X40)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_48
    | ~ spl0_24
    | spl0_42
    | spl0_28 ),
    inference(avatar_split_clause,[],[f228,f332,f386,f319,f415]) ).

fof(f228,plain,
    ! [X36,X37] :
      ( hskp23
      | ~ c0_1(X36)
      | c3_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X36,X37] :
      ( hskp23
      | ~ c0_1(X36)
      | c3_1(X36)
      | c2_1(X36)
      | ~ ndr1_0
      | ~ c0_1(X37)
      | c3_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( spl0_48
    | ~ spl0_24
    | spl0_30
    | spl0_17 ),
    inference(avatar_split_clause,[],[f229,f294,f340,f319,f415]) ).

fof(f229,plain,
    ! [X34,X35] :
      ( hskp1
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c3_1(X35)
      | c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f173]) ).

fof(f173,plain,
    ! [X34,X35] :
      ( hskp1
      | ~ c2_1(X34)
      | ~ c1_1(X34)
      | ~ c0_1(X34)
      | ~ ndr1_0
      | ~ c0_1(X35)
      | c3_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f417,plain,
    ( ~ spl0_24
    | spl0_48
    | spl0_13 ),
    inference(avatar_split_clause,[],[f174,f280,f415,f319]) ).

fof(f174,plain,
    ! [X33] :
      ( hskp12
      | ~ c0_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f413,plain,
    ( spl0_47
    | ~ spl0_24
    | spl0_35
    | spl0_28 ),
    inference(avatar_split_clause,[],[f230,f332,f360,f319,f410]) ).

fof(f230,plain,
    ! [X31,X32] :
      ( hskp23
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f175]) ).

fof(f175,plain,
    ! [X31,X32] :
      ( hskp23
      | ~ c1_1(X31)
      | ~ c0_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c2_1(X32)
      | c3_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_46
    | ~ spl0_24
    | spl0_33
    | spl0_13 ),
    inference(avatar_split_clause,[],[f232,f280,f352,f319,f406]) ).

fof(f232,plain,
    ! [X28,X27] :
      ( hskp12
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c2_1(X28)
      | ~ c0_1(X28)
      | c1_1(X28) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X28,X27] :
      ( hskp12
      | ~ c2_1(X27)
      | ~ c0_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | ~ c2_1(X28)
      | ~ c0_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f404,plain,
    ( spl0_45
    | spl0_43
    | ~ spl0_24
    | spl0_41 ),
    inference(avatar_split_clause,[],[f233,f382,f319,f391,f401]) ).

fof(f233,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c2_1(X25)
      | ~ ndr1_0
      | ~ c3_1(X26)
      | ~ c0_1(X26)
      | c1_1(X26)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f403,plain,
    ( ~ spl0_24
    | spl0_45
    | spl0_8
    | spl0_34 ),
    inference(avatar_split_clause,[],[f179,f356,f262,f401,f319]) ).

fof(f179,plain,
    ! [X23] :
      ( hskp4
      | hskp19
      | ~ c3_1(X23)
      | ~ c0_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f399,plain,
    ( ~ spl0_24
    | spl0_44
    | spl0_17
    | spl0_34 ),
    inference(avatar_split_clause,[],[f180,f356,f294,f395,f319]) ).

fof(f180,plain,
    ! [X22] :
      ( hskp4
      | hskp1
      | ~ c3_1(X22)
      | ~ c2_1(X22)
      | c1_1(X22)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f398,plain,
    ( ~ spl0_24
    | spl0_44
    | spl0_4
    | spl0_36 ),
    inference(avatar_split_clause,[],[f181,f363,f249,f395,f319]) ).

fof(f181,plain,
    ! [X21] :
      ( hskp21
      | hskp24
      | ~ c3_1(X21)
      | ~ c2_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f397,plain,
    ( ~ spl0_24
    | spl0_44
    | spl0_1
    | spl0_34 ),
    inference(avatar_split_clause,[],[f182,f356,f239,f395,f319]) ).

fof(f182,plain,
    ! [X20] :
      ( hskp4
      | hskp3
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( spl0_42
    | ~ spl0_24
    | spl0_43
    | spl0_2 ),
    inference(avatar_split_clause,[],[f234,f242,f391,f319,f386]) ).

fof(f234,plain,
    ! [X18,X19] :
      ( hskp14
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | c3_1(X19)
      | c2_1(X19) ),
    inference(duplicate_literal_removal,[],[f183]) ).

fof(f183,plain,
    ! [X18,X19] :
      ( hskp14
      | ~ c1_1(X18)
      | ~ c0_1(X18)
      | c2_1(X18)
      | ~ ndr1_0
      | ~ c0_1(X19)
      | c3_1(X19)
      | c2_1(X19)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( spl0_42
    | ~ spl0_24
    | spl0_33
    | spl0_27 ),
    inference(avatar_split_clause,[],[f235,f329,f352,f319,f386]) ).

fof(f235,plain,
    ! [X16,X17] :
      ( hskp25
      | ~ c2_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | c3_1(X17)
      | c2_1(X17) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X16,X17] :
      ( hskp25
      | ~ c2_1(X16)
      | ~ c0_1(X16)
      | c3_1(X16)
      | ~ ndr1_0
      | ~ c0_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f388,plain,
    ( ~ spl0_24
    | spl0_42
    | spl0_4
    | spl0_27 ),
    inference(avatar_split_clause,[],[f185,f329,f249,f386,f319]) ).

fof(f185,plain,
    ! [X15] :
      ( hskp25
      | hskp24
      | ~ c0_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f377,plain,
    ( ~ spl0_24
    | spl0_39
    | spl0_13
    | spl0_8 ),
    inference(avatar_split_clause,[],[f187,f262,f280,f375,f319]) ).

fof(f187,plain,
    ! [X12] :
      ( hskp19
      | hskp12
      | ~ c3_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f373,plain,
    ( ~ spl0_24
    | spl0_38
    | spl0_16
    | spl0_36 ),
    inference(avatar_split_clause,[],[f188,f363,f290,f371,f319]) ).

fof(f188,plain,
    ! [X11] :
      ( hskp21
      | hskp30
      | ~ c3_1(X11)
      | ~ c1_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( spl0_35
    | ~ spl0_24
    | spl0_37
    | spl0_1 ),
    inference(avatar_split_clause,[],[f237,f239,f367,f319,f360]) ).

fof(f237,plain,
    ! [X10,X9] :
      ( hskp3
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f189]) ).

fof(f189,plain,
    ! [X10,X9] :
      ( hskp3
      | ~ c3_1(X9)
      | ~ c2_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_24
    | spl0_35
    | spl0_36
    | spl0_21 ),
    inference(avatar_split_clause,[],[f190,f307,f363,f360,f319]) ).

fof(f190,plain,
    ! [X8] :
      ( hskp16
      | hskp21
      | ~ c1_1(X8)
      | ~ c0_1(X8)
      | c3_1(X8)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f358,plain,
    ( ~ spl0_24
    | spl0_33
    | spl0_31
    | spl0_34 ),
    inference(avatar_split_clause,[],[f191,f356,f344,f352,f319]) ).

fof(f191,plain,
    ! [X7] :
      ( hskp4
      | hskp2
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f354,plain,
    ( ~ spl0_24
    | spl0_33
    | spl0_16
    | spl0_21 ),
    inference(avatar_split_clause,[],[f192,f307,f290,f352,f319]) ).

fof(f192,plain,
    ! [X6] :
      ( hskp16
      | hskp30
      | ~ c2_1(X6)
      | ~ c0_1(X6)
      | c3_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f350,plain,
    ( ~ spl0_24
    | spl0_32
    | spl0_11
    | spl0_8 ),
    inference(avatar_split_clause,[],[f193,f262,f273,f348,f319]) ).

fof(f193,plain,
    ! [X5] :
      ( hskp19
      | hskp7
      | ~ c2_1(X5)
      | ~ c1_1(X5)
      | c3_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f346,plain,
    ( ~ spl0_24
    | spl0_30
    | spl0_31
    | spl0_10 ),
    inference(avatar_split_clause,[],[f194,f269,f344,f340,f319]) ).

fof(f194,plain,
    ! [X4] :
      ( hskp18
      | hskp2
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f342,plain,
    ( ~ spl0_24
    | spl0_30
    | spl0_5
    | spl0_10 ),
    inference(avatar_split_clause,[],[f195,f269,f252,f340,f319]) ).

fof(f195,plain,
    ! [X3] :
      ( hskp18
      | hskp13
      | ~ c2_1(X3)
      | ~ c1_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f334,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_27
    | spl0_28 ),
    inference(avatar_split_clause,[],[f197,f332,f329,f322,f319]) ).

fof(f197,plain,
    ! [X1] :
      ( hskp23
      | hskp25
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f327,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_23
    | spl0_26 ),
    inference(avatar_split_clause,[],[f198,f325,f315,f322,f319]) ).

fof(f198,plain,
    ! [X0] :
      ( hskp9
      | hskp27
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f317,plain,
    ( spl0_22
    | spl0_23
    | spl0_1 ),
    inference(avatar_split_clause,[],[f199,f239,f315,f312]) ).

fof(f199,plain,
    ( hskp3
    | hskp27
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f310,plain,
    ( spl0_19
    | spl0_14
    | spl0_5 ),
    inference(avatar_split_clause,[],[f200,f252,f283,f301]) ).

fof(f200,plain,
    ( hskp13
    | hskp0
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f309,plain,
    ( spl0_19
    | spl0_20
    | spl0_21 ),
    inference(avatar_split_clause,[],[f201,f307,f304,f301]) ).

fof(f201,plain,
    ( hskp16
    | hskp26
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f299,plain,
    ( spl0_17
    | spl0_2
    | spl0_18 ),
    inference(avatar_split_clause,[],[f202,f297,f242,f294]) ).

fof(f202,plain,
    ( hskp20
    | hskp14
    | hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f292,plain,
    ( spl0_12
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f203,f290,f287,f277]) ).

fof(f203,plain,
    ( hskp30
    | hskp11
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f285,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f204,f283,f280,f277]) ).

fof(f204,plain,
    ( hskp0
    | hskp12
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f275,plain,
    ( spl0_9
    | spl0_11
    | spl0_2 ),
    inference(avatar_split_clause,[],[f205,f242,f273,f266]) ).

fof(f205,plain,
    ( hskp14
    | hskp7
    | hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f254,plain,
    ( spl0_4
    | spl0_3
    | spl0_5 ),
    inference(avatar_split_clause,[],[f208,f252,f245,f249]) ).

fof(f208,plain,
    ( hskp13
    | hskp22
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem    : SYN487+1 : TPTP v8.1.2. Released v2.1.0.
% 0.11/0.14  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.14/0.35  % Computer : n023.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Sat Aug 26 20:15:11 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.14/0.36  Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/tmp/tmp.6qCTcnCjGT/Vampire---4.8_3474
% 0.14/0.36  % (3582)Running in auto input_syntax mode. Trying TPTP
% 0.22/0.42  % (3588)ott+10_8_br=off:cond=on:fsr=off:gsp=on:nm=16:nwc=3.0:sims=off:sp=reverse_frequency:urr=on_415 on Vampire---4 for (415ds/0Mi)
% 0.22/0.42  % (3584)dis-1002_1_av=off:bsr=on:cond=on:flr=on:fsr=off:gsp=on:nwc=2.0:sims=off_1218 on Vampire---4 for (1218ds/0Mi)
% 0.22/0.42  % (3587)ott-1010_5_add=off:amm=off:anc=none:bce=on:cond=fast:flr=on:lma=on:nm=2:nwc=1.1:sp=occurrence:tgt=ground_470 on Vampire---4 for (470ds/0Mi)
% 0.22/0.42  % (3589)dis+3_1024_av=off:fsr=off:gsp=on:lcm=predicate:nm=4:sos=all:sp=weighted_frequency_338 on Vampire---4 for (338ds/0Mi)
% 0.22/0.42  % (3585)lrs+11_4:3_aac=none:add=off:amm=off:anc=none:bd=preordered:bs=on:bce=on:flr=on:fsd=off:fsr=off:fde=none:nwc=2.5:sims=off:sp=reverse_arity:tgt=full:stl=188_1106 on Vampire---4 for (1106ds/0Mi)
% 0.22/0.42  % (3586)dis-1_128_add=large:amm=sco:anc=all_dependent:bs=on:bsr=on:bce=on:cond=fast:fsr=off:gsp=on:gs=on:gsem=off:lcm=predicate:lma=on:nm=32:nwc=4.0:nicw=on:sac=on:sp=weighted_frequency_692 on Vampire---4 for (692ds/0Mi)
% 0.22/0.43  % (3583)lrs-1_7_acc=on:amm=off:anc=all:bs=on:bsr=on:cond=fast:flr=on:fsr=off:gsp=on:lcm=reverse:lma=on:msp=off:nm=0:nwc=1.2:sp=frequency:stl=188_1354 on Vampire---4 for (1354ds/0Mi)
% 0.22/0.45  % (3585)First to succeed.
% 0.22/0.46  % (3588)Also succeeded, but the first one will report.
% 0.22/0.46  % (3585)Refutation found. Thanks to Tanya!
% 0.22/0.46  % SZS status Theorem for Vampire---4
% 0.22/0.46  % SZS output start Proof for Vampire---4
% See solution above
% 0.22/0.47  % (3585)------------------------------
% 0.22/0.47  % (3585)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.22/0.47  % (3585)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.22/0.47  % (3585)Termination reason: Refutation
% 0.22/0.47  
% 0.22/0.47  % (3585)Memory used [KB]: 7036
% 0.22/0.47  % (3585)Time elapsed: 0.042 s
% 0.22/0.47  % (3585)------------------------------
% 0.22/0.47  % (3585)------------------------------
% 0.22/0.47  % (3582)Success in time 0.108 s
% 0.22/0.47  % Vampire---4.8 exiting
%------------------------------------------------------------------------------