TSTP Solution File: SYN440+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN440+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n031.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 : Tue Apr 30 18:03:24 EDT 2024

% Result   : Theorem 0.20s 0.50s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  194
% Syntax   : Number of formulae    : 1001 (   1 unt;   0 def)
%            Number of atoms       : 8176 (   0 equ)
%            Maximal formula atoms :  805 (   8 avg)
%            Number of connectives : 11076 (3901   ~;4632   |;1962   &)
%                                         ( 193 <=>; 388  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  133 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  266 ( 265 usr; 262 prp; 0-1 aty)
%            Number of functors    :   67 (  67 usr;  67 con; 0-0 aty)
%            Number of variables   :  790 ( 790   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f7489,plain,
    $false,
    inference(avatar_sat_refutation,[],[f382,f393,f406,f431,f444,f456,f464,f495,f520,f529,f538,f550,f558,f603,f617,f630,f634,f649,f654,f664,f672,f700,f704,f705,f706,f707,f713,f719,f724,f738,f746,f750,f751,f756,f762,f763,f781,f785,f790,f795,f800,f806,f811,f816,f822,f827,f832,f870,f875,f880,f886,f891,f896,f902,f907,f912,f918,f923,f928,f934,f939,f944,f950,f955,f960,f966,f971,f976,f982,f987,f998,f1003,f1008,f1014,f1019,f1024,f1110,f1115,f1120,f1126,f1131,f1136,f1174,f1179,f1184,f1190,f1195,f1200,f1238,f1243,f1248,f1254,f1259,f1264,f1281,f1318,f1323,f1328,f1334,f1339,f1344,f1366,f1371,f1376,f1430,f1435,f1440,f1451,f1456,f1526,f1531,f1536,f1542,f1547,f1552,f1558,f1563,f1568,f1574,f1579,f1584,f1606,f1611,f1616,f1622,f1627,f1632,f1670,f1675,f1680,f1702,f1707,f1712,f1718,f1723,f1728,f1750,f1755,f1760,f1766,f1771,f1776,f1793,f1809,f1830,f1835,f1840,f1846,f1851,f1856,f1895,f1922,f1956,f2018,f2038,f2050,f2237,f2261,f2398,f2453,f2681,f2709,f2729,f2762,f2833,f2844,f2922,f2924,f2982,f3112,f3114,f3177,f3192,f3199,f3356,f3455,f3488,f3510,f3608,f3644,f3683,f3689,f3719,f3812,f3845,f3851,f3859,f3909,f3955,f4043,f4046,f4169,f4311,f4565,f4646,f4647,f4795,f4797,f4811,f5155,f5184,f5272,f5275,f5298,f5307,f5377,f5383,f5413,f5420,f5508,f5591,f5784,f5811,f5893,f6088,f6099,f6133,f6244,f6336,f6389,f6396,f6399,f6436,f6446,f6460,f6467,f6470,f6505,f6540,f6609,f6633,f6786,f6798,f6801,f6819,f6885,f6984,f7014,f7015,f7023,f7024,f7031,f7072,f7078,f7087,f7240,f7242,f7296,f7412,f7480,f7488]) ).

fof(f7488,plain,
    ( ~ spl0_49
    | ~ spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f7487]) ).

fof(f7487,plain,
    ( $false
    | ~ spl0_49
    | ~ spl0_104
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f7486,f826]) ).

fof(f826,plain,
    ( ~ c0_1(a673)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f824]) ).

fof(f824,plain,
    ( spl0_105
  <=> c0_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f7486,plain,
    ( c0_1(a673)
    | ~ spl0_49
    | ~ spl0_104
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f7483,f821]) ).

fof(f821,plain,
    ( c1_1(a673)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f819]) ).

fof(f819,plain,
    ( spl0_104
  <=> c1_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f7483,plain,
    ( ~ c1_1(a673)
    | c0_1(a673)
    | ~ spl0_49
    | ~ spl0_106 ),
    inference(resolution,[],[f831,f565]) ).

fof(f565,plain,
    ( ! [X22] :
        ( ~ c3_1(X22)
        | ~ c1_1(X22)
        | c0_1(X22) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f564]) ).

fof(f564,plain,
    ( spl0_49
  <=> ! [X22] :
        ( ~ c3_1(X22)
        | ~ c1_1(X22)
        | c0_1(X22) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f831,plain,
    ( c3_1(a673)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f829]) ).

fof(f829,plain,
    ( spl0_106
  <=> c3_1(a673) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f7480,plain,
    ( ~ spl0_46
    | ~ spl0_49
    | ~ spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(avatar_contradiction_clause,[],[f7479]) ).

fof(f7479,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_49
    | ~ spl0_98
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f7314,f7252]) ).

fof(f7252,plain,
    ( ~ c0_1(a675)
    | ~ spl0_46
    | spl0_99
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f7235,f799]) ).

fof(f799,plain,
    ( c1_1(a675)
    | ~ spl0_100 ),
    inference(avatar_component_clause,[],[f797]) ).

fof(f797,plain,
    ( spl0_100
  <=> c1_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f7235,plain,
    ( ~ c0_1(a675)
    | ~ c1_1(a675)
    | ~ spl0_46
    | spl0_99 ),
    inference(resolution,[],[f553,f794]) ).

fof(f794,plain,
    ( ~ c2_1(a675)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f792]) ).

fof(f792,plain,
    ( spl0_99
  <=> c2_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f553,plain,
    ( ! [X21] :
        ( c2_1(X21)
        | ~ c0_1(X21)
        | ~ c1_1(X21) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f552]) ).

fof(f552,plain,
    ( spl0_46
  <=> ! [X21] :
        ( c2_1(X21)
        | ~ c0_1(X21)
        | ~ c1_1(X21) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f7314,plain,
    ( c0_1(a675)
    | ~ spl0_49
    | ~ spl0_98
    | ~ spl0_100 ),
    inference(subsumption_resolution,[],[f7278,f799]) ).

fof(f7278,plain,
    ( ~ c1_1(a675)
    | c0_1(a675)
    | ~ spl0_49
    | ~ spl0_98 ),
    inference(resolution,[],[f565,f789]) ).

fof(f789,plain,
    ( c3_1(a675)
    | ~ spl0_98 ),
    inference(avatar_component_clause,[],[f787]) ).

fof(f787,plain,
    ( spl0_98
  <=> c3_1(a675) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f7412,plain,
    ( ~ spl0_332
    | ~ spl0_20
    | ~ spl0_80
    | ~ spl0_247 ),
    inference(avatar_split_clause,[],[f7392,f1581,f698,f446,f3837]) ).

fof(f3837,plain,
    ( spl0_332
  <=> c0_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_332])]) ).

fof(f446,plain,
    ( spl0_20
  <=> ! [X6] :
        ( ~ c0_1(X6)
        | c2_1(X6)
        | ~ c3_1(X6) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f698,plain,
    ( spl0_80
  <=> ! [X53] :
        ( ~ c2_1(X53)
        | ~ c3_1(X53)
        | ~ c0_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f1581,plain,
    ( spl0_247
  <=> c3_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_247])]) ).

fof(f7392,plain,
    ( ~ c0_1(a628)
    | ~ spl0_20
    | ~ spl0_80
    | ~ spl0_247 ),
    inference(resolution,[],[f7386,f1583]) ).

fof(f1583,plain,
    ( c3_1(a628)
    | ~ spl0_247 ),
    inference(avatar_component_clause,[],[f1581]) ).

fof(f7386,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | ~ c0_1(X53) )
    | ~ spl0_20
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f699,f447]) ).

fof(f447,plain,
    ( ! [X6] :
        ( ~ c0_1(X6)
        | c2_1(X6)
        | ~ c3_1(X6) )
    | ~ spl0_20 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f699,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | ~ c3_1(X53)
        | ~ c0_1(X53) )
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f7296,plain,
    ( ~ spl0_49
    | spl0_182
    | ~ spl0_183
    | ~ spl0_184 ),
    inference(avatar_contradiction_clause,[],[f7295]) ).

fof(f7295,plain,
    ( $false
    | ~ spl0_49
    | spl0_182
    | ~ spl0_183
    | ~ spl0_184 ),
    inference(subsumption_resolution,[],[f7294,f1236]) ).

fof(f1236,plain,
    ( ~ c0_1(a608)
    | spl0_182 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f1235,plain,
    ( spl0_182
  <=> c0_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f7294,plain,
    ( c0_1(a608)
    | ~ spl0_49
    | ~ spl0_183
    | ~ spl0_184 ),
    inference(subsumption_resolution,[],[f7265,f1247]) ).

fof(f1247,plain,
    ( c1_1(a608)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1245]) ).

fof(f1245,plain,
    ( spl0_184
  <=> c1_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f7265,plain,
    ( ~ c1_1(a608)
    | c0_1(a608)
    | ~ spl0_49
    | ~ spl0_183 ),
    inference(resolution,[],[f565,f1242]) ).

fof(f1242,plain,
    ( c3_1(a608)
    | ~ spl0_183 ),
    inference(avatar_component_clause,[],[f1240]) ).

fof(f1240,plain,
    ( spl0_183
  <=> c3_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_183])]) ).

fof(f7242,plain,
    ( ~ spl0_331
    | ~ spl0_46
    | ~ spl0_198
    | spl0_199 ),
    inference(avatar_split_clause,[],[f7241,f1325,f1320,f552,f3721]) ).

fof(f3721,plain,
    ( spl0_331
  <=> c1_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_331])]) ).

fof(f1320,plain,
    ( spl0_198
  <=> c0_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_198])]) ).

fof(f1325,plain,
    ( spl0_199
  <=> c2_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_199])]) ).

fof(f7241,plain,
    ( ~ c1_1(a599)
    | ~ spl0_46
    | ~ spl0_198
    | spl0_199 ),
    inference(subsumption_resolution,[],[f7221,f1322]) ).

fof(f1322,plain,
    ( c0_1(a599)
    | ~ spl0_198 ),
    inference(avatar_component_clause,[],[f1320]) ).

fof(f7221,plain,
    ( ~ c0_1(a599)
    | ~ c1_1(a599)
    | ~ spl0_46
    | spl0_199 ),
    inference(resolution,[],[f553,f1327]) ).

fof(f1327,plain,
    ( ~ c2_1(a599)
    | spl0_199 ),
    inference(avatar_component_clause,[],[f1325]) ).

fof(f7240,plain,
    ( ~ spl0_344
    | ~ spl0_46
    | ~ spl0_207
    | spl0_208 ),
    inference(avatar_split_clause,[],[f7239,f1373,f1368,f552,f5291]) ).

fof(f5291,plain,
    ( spl0_344
  <=> c1_1(a666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_344])]) ).

fof(f1368,plain,
    ( spl0_207
  <=> c0_1(a666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_207])]) ).

fof(f1373,plain,
    ( spl0_208
  <=> c2_1(a666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_208])]) ).

fof(f7239,plain,
    ( ~ c1_1(a666)
    | ~ spl0_46
    | ~ spl0_207
    | spl0_208 ),
    inference(subsumption_resolution,[],[f7218,f1370]) ).

fof(f1370,plain,
    ( c0_1(a666)
    | ~ spl0_207 ),
    inference(avatar_component_clause,[],[f1368]) ).

fof(f7218,plain,
    ( ~ c0_1(a666)
    | ~ c1_1(a666)
    | ~ spl0_46
    | spl0_208 ),
    inference(resolution,[],[f553,f1375]) ).

fof(f1375,plain,
    ( ~ c2_1(a666)
    | spl0_208 ),
    inference(avatar_component_clause,[],[f1373]) ).

fof(f7087,plain,
    ( ~ spl0_5
    | spl0_255
    | ~ spl0_256
    | ~ spl0_304 ),
    inference(avatar_contradiction_clause,[],[f7086]) ).

fof(f7086,plain,
    ( $false
    | ~ spl0_5
    | spl0_255
    | ~ spl0_256
    | ~ spl0_304 ),
    inference(subsumption_resolution,[],[f7085,f1626]) ).

fof(f1626,plain,
    ( ~ c1_1(a624)
    | spl0_255 ),
    inference(avatar_component_clause,[],[f1624]) ).

fof(f1624,plain,
    ( spl0_255
  <=> c1_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_255])]) ).

fof(f7085,plain,
    ( c1_1(a624)
    | ~ spl0_5
    | ~ spl0_256
    | ~ spl0_304 ),
    inference(subsumption_resolution,[],[f7084,f1631]) ).

fof(f1631,plain,
    ( c3_1(a624)
    | ~ spl0_256 ),
    inference(avatar_component_clause,[],[f1629]) ).

fof(f1629,plain,
    ( spl0_256
  <=> c3_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_256])]) ).

fof(f7084,plain,
    ( ~ c3_1(a624)
    | c1_1(a624)
    | ~ spl0_5
    | ~ spl0_304 ),
    inference(resolution,[],[f2097,f385]) ).

fof(f385,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2)
        | c1_1(X2) )
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl0_5
  <=> ! [X2] :
        ( c1_1(X2)
        | ~ c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f2097,plain,
    ( c0_1(a624)
    | ~ spl0_304 ),
    inference(avatar_component_clause,[],[f2095]) ).

fof(f2095,plain,
    ( spl0_304
  <=> c0_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_304])]) ).

fof(f7078,plain,
    ( ~ spl0_72
    | ~ spl0_80
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(avatar_contradiction_clause,[],[f7077]) ).

fof(f7077,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_80
    | ~ spl0_128
    | ~ spl0_129 ),
    inference(subsumption_resolution,[],[f7058,f949]) ).

fof(f949,plain,
    ( c3_1(a658)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f947]) ).

fof(f947,plain,
    ( spl0_128
  <=> c3_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f7058,plain,
    ( ~ c3_1(a658)
    | ~ spl0_72
    | ~ spl0_80
    | ~ spl0_129 ),
    inference(resolution,[],[f7022,f954]) ).

fof(f954,plain,
    ( c2_1(a658)
    | ~ spl0_129 ),
    inference(avatar_component_clause,[],[f952]) ).

fof(f952,plain,
    ( spl0_129
  <=> c2_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f7022,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | ~ c3_1(X50) )
    | ~ spl0_72
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f667,f699]) ).

fof(f667,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | c0_1(X50)
        | ~ c3_1(X50) )
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_72
  <=> ! [X50] :
        ( ~ c2_1(X50)
        | c0_1(X50)
        | ~ c3_1(X50) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f7072,plain,
    ( ~ spl0_72
    | ~ spl0_80
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f7071]) ).

fof(f7071,plain,
    ( $false
    | ~ spl0_72
    | ~ spl0_80
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f7053,f1189]) ).

fof(f1189,plain,
    ( c3_1(a617)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f1187]) ).

fof(f1187,plain,
    ( spl0_173
  <=> c3_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f7053,plain,
    ( ~ c3_1(a617)
    | ~ spl0_72
    | ~ spl0_80
    | ~ spl0_175 ),
    inference(resolution,[],[f7022,f1199]) ).

fof(f1199,plain,
    ( c2_1(a617)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1197]) ).

fof(f1197,plain,
    ( spl0_175
  <=> c2_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f7031,plain,
    ( ~ spl0_323
    | ~ spl0_17
    | ~ spl0_120
    | spl0_121 ),
    inference(avatar_split_clause,[],[f7030,f909,f904,f433,f3358]) ).

fof(f3358,plain,
    ( spl0_323
  <=> c1_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_323])]) ).

fof(f433,plain,
    ( spl0_17
  <=> ! [X5] :
        ( c0_1(X5)
        | ~ c2_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f904,plain,
    ( spl0_120
  <=> c2_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f909,plain,
    ( spl0_121
  <=> c0_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f7030,plain,
    ( ~ c1_1(a665)
    | ~ spl0_17
    | ~ spl0_120
    | spl0_121 ),
    inference(subsumption_resolution,[],[f7028,f911]) ).

fof(f911,plain,
    ( ~ c0_1(a665)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f909]) ).

fof(f7028,plain,
    ( c0_1(a665)
    | ~ c1_1(a665)
    | ~ spl0_17
    | ~ spl0_120 ),
    inference(resolution,[],[f906,f434]) ).

fof(f434,plain,
    ( ! [X5] :
        ( ~ c2_1(X5)
        | c0_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_17 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f906,plain,
    ( c2_1(a665)
    | ~ spl0_120 ),
    inference(avatar_component_clause,[],[f904]) ).

fof(f7024,plain,
    ( spl0_331
    | ~ spl0_197
    | ~ spl0_5
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f6670,f1320,f384,f1315,f3721]) ).

fof(f1315,plain,
    ( spl0_197
  <=> c3_1(a599) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_197])]) ).

fof(f6670,plain,
    ( ~ c3_1(a599)
    | c1_1(a599)
    | ~ spl0_5
    | ~ spl0_198 ),
    inference(resolution,[],[f385,f1322]) ).

fof(f7023,plain,
    ( spl0_141
    | ~ spl0_311
    | ~ spl0_5
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f6680,f1011,f384,f2369,f1016]) ).

fof(f1016,plain,
    ( spl0_141
  <=> c1_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f2369,plain,
    ( spl0_311
  <=> c3_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_311])]) ).

fof(f1011,plain,
    ( spl0_140
  <=> c0_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f6680,plain,
    ( ~ c3_1(a647)
    | c1_1(a647)
    | ~ spl0_5
    | ~ spl0_140 ),
    inference(resolution,[],[f385,f1013]) ).

fof(f1013,plain,
    ( c0_1(a647)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f1011]) ).

fof(f7015,plain,
    ( ~ spl0_328
    | spl0_283
    | ~ spl0_17
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f6690,f1768,f433,f1773,f3450]) ).

fof(f3450,plain,
    ( spl0_328
  <=> c1_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_328])]) ).

fof(f1773,plain,
    ( spl0_283
  <=> c0_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_283])]) ).

fof(f1768,plain,
    ( spl0_282
  <=> c2_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_282])]) ).

fof(f6690,plain,
    ( c0_1(a606)
    | ~ c1_1(a606)
    | ~ spl0_17
    | ~ spl0_282 ),
    inference(resolution,[],[f434,f1770]) ).

fof(f1770,plain,
    ( c2_1(a606)
    | ~ spl0_282 ),
    inference(avatar_component_clause,[],[f1768]) ).

fof(f7014,plain,
    ( spl0_255
    | spl0_304
    | ~ spl0_89
    | spl0_254 ),
    inference(avatar_split_clause,[],[f6828,f1619,f744,f2095,f1624]) ).

fof(f744,plain,
    ( spl0_89
  <=> ! [X80] :
        ( c0_1(X80)
        | c2_1(X80)
        | c1_1(X80) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f1619,plain,
    ( spl0_254
  <=> c2_1(a624) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_254])]) ).

fof(f6828,plain,
    ( c0_1(a624)
    | c1_1(a624)
    | ~ spl0_89
    | spl0_254 ),
    inference(resolution,[],[f745,f1621]) ).

fof(f1621,plain,
    ( ~ c2_1(a624)
    | spl0_254 ),
    inference(avatar_component_clause,[],[f1619]) ).

fof(f745,plain,
    ( ! [X80] :
        ( c2_1(X80)
        | c0_1(X80)
        | c1_1(X80) )
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f744]) ).

fof(f6984,plain,
    ( ~ spl0_97
    | spl0_269
    | ~ spl0_270
    | ~ spl0_271 ),
    inference(avatar_contradiction_clause,[],[f6983]) ).

fof(f6983,plain,
    ( $false
    | ~ spl0_97
    | spl0_269
    | ~ spl0_270
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f6982,f1701]) ).

fof(f1701,plain,
    ( ~ c3_1(a613)
    | spl0_269 ),
    inference(avatar_component_clause,[],[f1699]) ).

fof(f1699,plain,
    ( spl0_269
  <=> c3_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_269])]) ).

fof(f6982,plain,
    ( c3_1(a613)
    | ~ spl0_97
    | ~ spl0_270
    | ~ spl0_271 ),
    inference(subsumption_resolution,[],[f6957,f1711]) ).

fof(f1711,plain,
    ( c1_1(a613)
    | ~ spl0_271 ),
    inference(avatar_component_clause,[],[f1709]) ).

fof(f1709,plain,
    ( spl0_271
  <=> c1_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_271])]) ).

fof(f6957,plain,
    ( ~ c1_1(a613)
    | c3_1(a613)
    | ~ spl0_97
    | ~ spl0_270 ),
    inference(resolution,[],[f784,f1706]) ).

fof(f1706,plain,
    ( c2_1(a613)
    | ~ spl0_270 ),
    inference(avatar_component_clause,[],[f1704]) ).

fof(f1704,plain,
    ( spl0_270
  <=> c2_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_270])]) ).

fof(f784,plain,
    ( ! [X94] :
        ( ~ c2_1(X94)
        | ~ c1_1(X94)
        | c3_1(X94) )
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f783]) ).

fof(f783,plain,
    ( spl0_97
  <=> ! [X94] :
        ( c3_1(X94)
        | ~ c1_1(X94)
        | ~ c2_1(X94) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f6885,plain,
    ( spl0_328
    | ~ spl0_90
    | spl0_281
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f6884,f1768,f1763,f748,f3450]) ).

fof(f748,plain,
    ( spl0_90
  <=> ! [X82] :
        ( c3_1(X82)
        | ~ c2_1(X82)
        | c1_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1763,plain,
    ( spl0_281
  <=> c3_1(a606) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_281])]) ).

fof(f6884,plain,
    ( c1_1(a606)
    | ~ spl0_90
    | spl0_281
    | ~ spl0_282 ),
    inference(subsumption_resolution,[],[f6860,f1765]) ).

fof(f1765,plain,
    ( ~ c3_1(a606)
    | spl0_281 ),
    inference(avatar_component_clause,[],[f1763]) ).

fof(f6860,plain,
    ( c3_1(a606)
    | c1_1(a606)
    | ~ spl0_90
    | ~ spl0_282 ),
    inference(resolution,[],[f749,f1770]) ).

fof(f749,plain,
    ( ! [X82] :
        ( ~ c2_1(X82)
        | c3_1(X82)
        | c1_1(X82) )
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f748]) ).

fof(f6819,plain,
    ( ~ spl0_326
    | ~ spl0_80
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f6818,f1197,f1187,f698,f3382]) ).

fof(f3382,plain,
    ( spl0_326
  <=> c0_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_326])]) ).

fof(f6818,plain,
    ( ~ c0_1(a617)
    | ~ spl0_80
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f6816,f1189]) ).

fof(f6816,plain,
    ( ~ c3_1(a617)
    | ~ c0_1(a617)
    | ~ spl0_80
    | ~ spl0_175 ),
    inference(resolution,[],[f1199,f699]) ).

fof(f6801,plain,
    ( ~ spl0_46
    | ~ spl0_182
    | ~ spl0_184
    | spl0_315 ),
    inference(avatar_contradiction_clause,[],[f6800]) ).

fof(f6800,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_182
    | ~ spl0_184
    | spl0_315 ),
    inference(subsumption_resolution,[],[f6799,f1247]) ).

fof(f6799,plain,
    ( ~ c1_1(a608)
    | ~ spl0_46
    | ~ spl0_182
    | spl0_315 ),
    inference(subsumption_resolution,[],[f6763,f1237]) ).

fof(f1237,plain,
    ( c0_1(a608)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f1235]) ).

fof(f6763,plain,
    ( ~ c0_1(a608)
    | ~ c1_1(a608)
    | ~ spl0_46
    | spl0_315 ),
    inference(resolution,[],[f553,f3189]) ).

fof(f3189,plain,
    ( ~ c2_1(a608)
    | spl0_315 ),
    inference(avatar_component_clause,[],[f3187]) ).

fof(f3187,plain,
    ( spl0_315
  <=> c2_1(a608) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_315])]) ).

fof(f6798,plain,
    ( ~ spl0_46
    | ~ spl0_185
    | spl0_186
    | ~ spl0_187 ),
    inference(avatar_contradiction_clause,[],[f6797]) ).

fof(f6797,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_185
    | spl0_186
    | ~ spl0_187 ),
    inference(subsumption_resolution,[],[f6796,f1263]) ).

fof(f1263,plain,
    ( c1_1(a607)
    | ~ spl0_187 ),
    inference(avatar_component_clause,[],[f1261]) ).

fof(f1261,plain,
    ( spl0_187
  <=> c1_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_187])]) ).

fof(f6796,plain,
    ( ~ c1_1(a607)
    | ~ spl0_46
    | ~ spl0_185
    | spl0_186 ),
    inference(subsumption_resolution,[],[f6762,f1253]) ).

fof(f1253,plain,
    ( c0_1(a607)
    | ~ spl0_185 ),
    inference(avatar_component_clause,[],[f1251]) ).

fof(f1251,plain,
    ( spl0_185
  <=> c0_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f6762,plain,
    ( ~ c0_1(a607)
    | ~ c1_1(a607)
    | ~ spl0_46
    | spl0_186 ),
    inference(resolution,[],[f553,f1258]) ).

fof(f1258,plain,
    ( ~ c2_1(a607)
    | spl0_186 ),
    inference(avatar_component_clause,[],[f1256]) ).

fof(f1256,plain,
    ( spl0_186
  <=> c2_1(a607) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f6786,plain,
    ( ~ spl0_46
    | spl0_263
    | ~ spl0_264
    | ~ spl0_265 ),
    inference(avatar_contradiction_clause,[],[f6785]) ).

fof(f6785,plain,
    ( $false
    | ~ spl0_46
    | spl0_263
    | ~ spl0_264
    | ~ spl0_265 ),
    inference(subsumption_resolution,[],[f6784,f1674]) ).

fof(f1674,plain,
    ( c1_1(a616)
    | ~ spl0_264 ),
    inference(avatar_component_clause,[],[f1672]) ).

fof(f1672,plain,
    ( spl0_264
  <=> c1_1(a616) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_264])]) ).

fof(f6784,plain,
    ( ~ c1_1(a616)
    | ~ spl0_46
    | spl0_263
    | ~ spl0_265 ),
    inference(subsumption_resolution,[],[f6750,f1679]) ).

fof(f1679,plain,
    ( c0_1(a616)
    | ~ spl0_265 ),
    inference(avatar_component_clause,[],[f1677]) ).

fof(f1677,plain,
    ( spl0_265
  <=> c0_1(a616) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_265])]) ).

fof(f6750,plain,
    ( ~ c0_1(a616)
    | ~ c1_1(a616)
    | ~ spl0_46
    | spl0_263 ),
    inference(resolution,[],[f553,f1669]) ).

fof(f1669,plain,
    ( ~ c2_1(a616)
    | spl0_263 ),
    inference(avatar_component_clause,[],[f1667]) ).

fof(f1667,plain,
    ( spl0_263
  <=> c2_1(a616) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_263])]) ).

fof(f6633,plain,
    ( ~ spl0_30
    | ~ spl0_50
    | ~ spl0_173
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f6632]) ).

fof(f6632,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_50
    | ~ spl0_173
    | spl0_174 ),
    inference(subsumption_resolution,[],[f6627,f1189]) ).

fof(f6627,plain,
    ( ~ c3_1(a617)
    | ~ spl0_30
    | ~ spl0_50
    | spl0_174 ),
    inference(resolution,[],[f6617,f1194]) ).

fof(f1194,plain,
    ( ~ c1_1(a617)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f1192]) ).

fof(f1192,plain,
    ( spl0_174
  <=> c1_1(a617) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f6617,plain,
    ( ! [X24] :
        ( c1_1(X24)
        | ~ c3_1(X24) )
    | ~ spl0_30
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f569,f487]) ).

fof(f487,plain,
    ( ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | c1_1(X13) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f486]) ).

fof(f486,plain,
    ( spl0_30
  <=> ! [X13] :
        ( ~ c3_1(X13)
        | c2_1(X13)
        | c1_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f569,plain,
    ( ! [X24] :
        ( ~ c3_1(X24)
        | c1_1(X24)
        | ~ c2_1(X24) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f568]) ).

fof(f568,plain,
    ( spl0_50
  <=> ! [X24] :
        ( ~ c3_1(X24)
        | c1_1(X24)
        | ~ c2_1(X24) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f6609,plain,
    ( ~ spl0_4
    | ~ spl0_81
    | spl0_278
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f6608]) ).

fof(f6608,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_81
    | spl0_278
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f6588,f1749]) ).

fof(f1749,plain,
    ( ~ c1_1(a609)
    | spl0_278 ),
    inference(avatar_component_clause,[],[f1747]) ).

fof(f1747,plain,
    ( spl0_278
  <=> c1_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_278])]) ).

fof(f6588,plain,
    ( c1_1(a609)
    | ~ spl0_4
    | ~ spl0_81
    | ~ spl0_280 ),
    inference(resolution,[],[f6583,f1759]) ).

fof(f1759,plain,
    ( c2_1(a609)
    | ~ spl0_280 ),
    inference(avatar_component_clause,[],[f1757]) ).

fof(f1757,plain,
    ( spl0_280
  <=> c2_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_280])]) ).

fof(f6583,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c1_1(X57) )
    | ~ spl0_4
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f703,f381]) ).

fof(f381,plain,
    ( ! [X0] :
        ( ~ c0_1(X0)
        | c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_4 ),
    inference(avatar_component_clause,[],[f380]) ).

fof(f380,plain,
    ( spl0_4
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c1_1(X0)
        | ~ c0_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f703,plain,
    ( ! [X57] :
        ( c0_1(X57)
        | ~ c2_1(X57)
        | c1_1(X57) )
    | ~ spl0_81 ),
    inference(avatar_component_clause,[],[f702]) ).

fof(f702,plain,
    ( spl0_81
  <=> ! [X57] :
        ( c0_1(X57)
        | ~ c2_1(X57)
        | c1_1(X57) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_81])]) ).

fof(f6540,plain,
    ( spl0_274
    | ~ spl0_30
    | spl0_272
    | ~ spl0_273 ),
    inference(avatar_split_clause,[],[f6539,f1720,f1715,f486,f1725]) ).

fof(f1725,plain,
    ( spl0_274
  <=> c2_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_274])]) ).

fof(f1715,plain,
    ( spl0_272
  <=> c1_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_272])]) ).

fof(f1720,plain,
    ( spl0_273
  <=> c3_1(a612) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_273])]) ).

fof(f6539,plain,
    ( c2_1(a612)
    | ~ spl0_30
    | spl0_272
    | ~ spl0_273 ),
    inference(subsumption_resolution,[],[f6538,f1717]) ).

fof(f1717,plain,
    ( ~ c1_1(a612)
    | spl0_272 ),
    inference(avatar_component_clause,[],[f1715]) ).

fof(f6538,plain,
    ( c2_1(a612)
    | c1_1(a612)
    | ~ spl0_30
    | ~ spl0_273 ),
    inference(resolution,[],[f1722,f487]) ).

fof(f1722,plain,
    ( c3_1(a612)
    | ~ spl0_273 ),
    inference(avatar_component_clause,[],[f1720]) ).

fof(f6505,plain,
    ( ~ spl0_4
    | ~ spl0_79
    | ~ spl0_270
    | ~ spl0_303 ),
    inference(avatar_contradiction_clause,[],[f6504]) ).

fof(f6504,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_79
    | ~ spl0_270
    | ~ spl0_303 ),
    inference(subsumption_resolution,[],[f6480,f2058]) ).

fof(f2058,plain,
    ( c0_1(a613)
    | ~ spl0_303 ),
    inference(avatar_component_clause,[],[f2056]) ).

fof(f2056,plain,
    ( spl0_303
  <=> c0_1(a613) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_303])]) ).

fof(f6480,plain,
    ( ~ c0_1(a613)
    | ~ spl0_4
    | ~ spl0_79
    | ~ spl0_270 ),
    inference(resolution,[],[f6462,f1706]) ).

fof(f6462,plain,
    ( ! [X55] :
        ( ~ c2_1(X55)
        | ~ c0_1(X55) )
    | ~ spl0_4
    | ~ spl0_79 ),
    inference(subsumption_resolution,[],[f696,f381]) ).

fof(f696,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c2_1(X55)
        | ~ c0_1(X55) )
    | ~ spl0_79 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f695,plain,
    ( spl0_79
  <=> ! [X55] :
        ( ~ c1_1(X55)
        | ~ c2_1(X55)
        | ~ c0_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_79])]) ).

fof(f6470,plain,
    ( spl0_331
    | ~ spl0_30
    | ~ spl0_197
    | spl0_199 ),
    inference(avatar_split_clause,[],[f6469,f1325,f1315,f486,f3721]) ).

fof(f6469,plain,
    ( c1_1(a599)
    | ~ spl0_30
    | ~ spl0_197
    | spl0_199 ),
    inference(subsumption_resolution,[],[f6143,f1327]) ).

fof(f6143,plain,
    ( c2_1(a599)
    | c1_1(a599)
    | ~ spl0_30
    | ~ spl0_197 ),
    inference(resolution,[],[f487,f1317]) ).

fof(f1317,plain,
    ( c3_1(a599)
    | ~ spl0_197 ),
    inference(avatar_component_clause,[],[f1315]) ).

fof(f6467,plain,
    ( ~ spl0_4
    | spl0_174
    | ~ spl0_175
    | ~ spl0_326 ),
    inference(avatar_contradiction_clause,[],[f6466]) ).

fof(f6466,plain,
    ( $false
    | ~ spl0_4
    | spl0_174
    | ~ spl0_175
    | ~ spl0_326 ),
    inference(subsumption_resolution,[],[f6465,f1199]) ).

fof(f6465,plain,
    ( ~ c2_1(a617)
    | ~ spl0_4
    | spl0_174
    | ~ spl0_326 ),
    inference(subsumption_resolution,[],[f6463,f1194]) ).

fof(f6463,plain,
    ( c1_1(a617)
    | ~ c2_1(a617)
    | ~ spl0_4
    | ~ spl0_326 ),
    inference(resolution,[],[f3384,f381]) ).

fof(f3384,plain,
    ( c0_1(a617)
    | ~ spl0_326 ),
    inference(avatar_component_clause,[],[f3382]) ).

fof(f6460,plain,
    ( spl0_326
    | spl0_174
    | ~ spl0_7
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f6121,f1187,f391,f1192,f3382]) ).

fof(f391,plain,
    ( spl0_7
  <=> ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f6121,plain,
    ( c1_1(a617)
    | c0_1(a617)
    | ~ spl0_7
    | ~ spl0_173 ),
    inference(resolution,[],[f392,f1189]) ).

fof(f392,plain,
    ( ! [X1] :
        ( ~ c3_1(X1)
        | c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f391]) ).

fof(f6446,plain,
    ( ~ spl0_30
    | ~ spl0_78
    | ~ spl0_132
    | spl0_133 ),
    inference(avatar_contradiction_clause,[],[f6445]) ).

fof(f6445,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_78
    | ~ spl0_132
    | spl0_133 ),
    inference(subsumption_resolution,[],[f6418,f975]) ).

fof(f975,plain,
    ( ~ c2_1(a653)
    | spl0_133 ),
    inference(avatar_component_clause,[],[f973]) ).

fof(f973,plain,
    ( spl0_133
  <=> c2_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f6418,plain,
    ( c2_1(a653)
    | ~ spl0_30
    | ~ spl0_78
    | ~ spl0_132 ),
    inference(resolution,[],[f6400,f970]) ).

fof(f970,plain,
    ( c3_1(a653)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f968]) ).

fof(f968,plain,
    ( spl0_132
  <=> c3_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f6400,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c2_1(X52) )
    | ~ spl0_30
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f692,f487]) ).

fof(f692,plain,
    ( ! [X52] :
        ( c2_1(X52)
        | ~ c3_1(X52)
        | ~ c1_1(X52) )
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f691]) ).

fof(f691,plain,
    ( spl0_78
  <=> ! [X52] :
        ( c2_1(X52)
        | ~ c3_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f6436,plain,
    ( ~ spl0_30
    | ~ spl0_78
    | spl0_222
    | ~ spl0_223 ),
    inference(avatar_contradiction_clause,[],[f6435]) ).

fof(f6435,plain,
    ( $false
    | ~ spl0_30
    | ~ spl0_78
    | spl0_222
    | ~ spl0_223 ),
    inference(subsumption_resolution,[],[f6409,f1450]) ).

fof(f1450,plain,
    ( ~ c2_1(a646)
    | spl0_222 ),
    inference(avatar_component_clause,[],[f1448]) ).

fof(f1448,plain,
    ( spl0_222
  <=> c2_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_222])]) ).

fof(f6409,plain,
    ( c2_1(a646)
    | ~ spl0_30
    | ~ spl0_78
    | ~ spl0_223 ),
    inference(resolution,[],[f6400,f1455]) ).

fof(f1455,plain,
    ( c3_1(a646)
    | ~ spl0_223 ),
    inference(avatar_component_clause,[],[f1453]) ).

fof(f1453,plain,
    ( spl0_223
  <=> c3_1(a646) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_223])]) ).

fof(f6399,plain,
    ( spl0_163
    | spl0_329
    | ~ spl0_7
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f6398,f1128,f391,f3485,f1133]) ).

fof(f1133,plain,
    ( spl0_163
  <=> c0_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f3485,plain,
    ( spl0_329
  <=> c1_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_329])]) ).

fof(f1128,plain,
    ( spl0_162
  <=> c3_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f6398,plain,
    ( c1_1(a623)
    | c0_1(a623)
    | ~ spl0_7
    | ~ spl0_162 ),
    inference(resolution,[],[f1130,f392]) ).

fof(f1130,plain,
    ( c3_1(a623)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f6396,plain,
    ( ~ spl0_33
    | ~ spl0_72
    | ~ spl0_125
    | spl0_127 ),
    inference(avatar_contradiction_clause,[],[f6395]) ).

fof(f6395,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_72
    | ~ spl0_125
    | spl0_127 ),
    inference(subsumption_resolution,[],[f6384,f943]) ).

fof(f943,plain,
    ( ~ c0_1(a662)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f941]) ).

fof(f941,plain,
    ( spl0_127
  <=> c0_1(a662) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f6384,plain,
    ( c0_1(a662)
    | ~ spl0_33
    | ~ spl0_72
    | ~ spl0_125 ),
    inference(resolution,[],[f6353,f933]) ).

fof(f933,plain,
    ( c2_1(a662)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f931]) ).

fof(f931,plain,
    ( spl0_125
  <=> c2_1(a662) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f6353,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | c0_1(X50) )
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f667,f498]) ).

fof(f498,plain,
    ( ! [X14] :
        ( ~ c2_1(X14)
        | c0_1(X14)
        | c3_1(X14) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f497,plain,
    ( spl0_33
  <=> ! [X14] :
        ( c0_1(X14)
        | ~ c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f6389,plain,
    ( ~ spl0_33
    | ~ spl0_72
    | spl0_279
    | ~ spl0_280 ),
    inference(avatar_contradiction_clause,[],[f6388]) ).

fof(f6388,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_72
    | spl0_279
    | ~ spl0_280 ),
    inference(subsumption_resolution,[],[f6368,f1754]) ).

fof(f1754,plain,
    ( ~ c0_1(a609)
    | spl0_279 ),
    inference(avatar_component_clause,[],[f1752]) ).

fof(f1752,plain,
    ( spl0_279
  <=> c0_1(a609) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_279])]) ).

fof(f6368,plain,
    ( c0_1(a609)
    | ~ spl0_33
    | ~ spl0_72
    | ~ spl0_280 ),
    inference(resolution,[],[f6353,f1759]) ).

fof(f6336,plain,
    ( spl0_89
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f6296,f601,f497,f486,f744]) ).

fof(f601,plain,
    ( spl0_58
  <=> ! [X29] :
        ( c3_1(X29)
        | c2_1(X29)
        | c0_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f6296,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_30
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(resolution,[],[f6294,f487]) ).

fof(f6294,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c0_1(X29) )
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f602,f498]) ).

fof(f602,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c2_1(X29)
        | c0_1(X29) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f601]) ).

fof(f6244,plain,
    ( ~ spl0_183
    | spl0_315
    | ~ spl0_20
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f6243,f1235,f446,f3187,f1240]) ).

fof(f6243,plain,
    ( c2_1(a608)
    | ~ c3_1(a608)
    | ~ spl0_20
    | ~ spl0_182 ),
    inference(resolution,[],[f1237,f447]) ).

fof(f6133,plain,
    ( spl0_323
    | ~ spl0_7
    | ~ spl0_119
    | spl0_121 ),
    inference(avatar_split_clause,[],[f6132,f909,f899,f391,f3358]) ).

fof(f899,plain,
    ( spl0_119
  <=> c3_1(a665) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f6132,plain,
    ( c1_1(a665)
    | ~ spl0_7
    | ~ spl0_119
    | spl0_121 ),
    inference(subsumption_resolution,[],[f6128,f911]) ).

fof(f6128,plain,
    ( c1_1(a665)
    | c0_1(a665)
    | ~ spl0_7
    | ~ spl0_119 ),
    inference(resolution,[],[f392,f901]) ).

fof(f901,plain,
    ( c3_1(a665)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f899]) ).

fof(f6099,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_78
    | ~ spl0_132
    | spl0_133 ),
    inference(avatar_contradiction_clause,[],[f6098]) ).

fof(f6098,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_78
    | ~ spl0_132
    | spl0_133 ),
    inference(subsumption_resolution,[],[f6069,f975]) ).

fof(f6069,plain,
    ( c2_1(a653)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_78
    | ~ spl0_132 ),
    inference(resolution,[],[f6046,f970]) ).

fof(f6046,plain,
    ( ! [X52] :
        ( ~ c3_1(X52)
        | c2_1(X52) )
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_78 ),
    inference(subsumption_resolution,[],[f692,f5734]) ).

fof(f5734,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | ~ c3_1(X1) )
    | ~ spl0_5
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f392,f385]) ).

fof(f6088,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_78
    | spl0_222
    | ~ spl0_223 ),
    inference(avatar_contradiction_clause,[],[f6087]) ).

fof(f6087,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_78
    | spl0_222
    | ~ spl0_223 ),
    inference(subsumption_resolution,[],[f6063,f1450]) ).

fof(f6063,plain,
    ( c2_1(a646)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_78
    | ~ spl0_223 ),
    inference(resolution,[],[f6046,f1455]) ).

fof(f5893,plain,
    ( spl0_344
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | spl0_208 ),
    inference(avatar_split_clause,[],[f5869,f1373,f416,f391,f384,f5291]) ).

fof(f416,plain,
    ( spl0_13
  <=> ! [X3] :
        ( c2_1(X3)
        | c1_1(X3)
        | c3_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f5869,plain,
    ( c1_1(a666)
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13
    | spl0_208 ),
    inference(resolution,[],[f5856,f1375]) ).

fof(f5856,plain,
    ( ! [X3] :
        ( c2_1(X3)
        | c1_1(X3) )
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_13 ),
    inference(subsumption_resolution,[],[f417,f5734]) ).

fof(f417,plain,
    ( ! [X3] :
        ( c2_1(X3)
        | c1_1(X3)
        | c3_1(X3) )
    | ~ spl0_13 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f5811,plain,
    ( ~ spl0_5
    | ~ spl0_7
    | ~ spl0_173
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f5810]) ).

fof(f5810,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_7
    | ~ spl0_173
    | spl0_174 ),
    inference(subsumption_resolution,[],[f5799,f1189]) ).

fof(f5799,plain,
    ( ~ c3_1(a617)
    | ~ spl0_5
    | ~ spl0_7
    | spl0_174 ),
    inference(resolution,[],[f5734,f1194]) ).

fof(f5784,plain,
    ( spl0_102
    | ~ spl0_322
    | ~ spl0_5
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f5782,f803,f384,f3315,f808]) ).

fof(f808,plain,
    ( spl0_102
  <=> c1_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f3315,plain,
    ( spl0_322
  <=> c3_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_322])]) ).

fof(f803,plain,
    ( spl0_101
  <=> c0_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f5782,plain,
    ( ~ c3_1(a674)
    | c1_1(a674)
    | ~ spl0_5
    | ~ spl0_101 ),
    inference(resolution,[],[f805,f385]) ).

fof(f805,plain,
    ( c0_1(a674)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f803]) ).

fof(f5591,plain,
    ( ~ spl0_5
    | spl0_242
    | ~ spl0_243
    | ~ spl0_244 ),
    inference(avatar_contradiction_clause,[],[f5590]) ).

fof(f5590,plain,
    ( $false
    | ~ spl0_5
    | spl0_242
    | ~ spl0_243
    | ~ spl0_244 ),
    inference(subsumption_resolution,[],[f5589,f1557]) ).

fof(f1557,plain,
    ( ~ c1_1(a632)
    | spl0_242 ),
    inference(avatar_component_clause,[],[f1555]) ).

fof(f1555,plain,
    ( spl0_242
  <=> c1_1(a632) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_242])]) ).

fof(f5589,plain,
    ( c1_1(a632)
    | ~ spl0_5
    | ~ spl0_243
    | ~ spl0_244 ),
    inference(subsumption_resolution,[],[f5587,f1562]) ).

fof(f1562,plain,
    ( c3_1(a632)
    | ~ spl0_243 ),
    inference(avatar_component_clause,[],[f1560]) ).

fof(f1560,plain,
    ( spl0_243
  <=> c3_1(a632) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_243])]) ).

fof(f5587,plain,
    ( ~ c3_1(a632)
    | c1_1(a632)
    | ~ spl0_5
    | ~ spl0_244 ),
    inference(resolution,[],[f1567,f385]) ).

fof(f1567,plain,
    ( c0_1(a632)
    | ~ spl0_244 ),
    inference(avatar_component_clause,[],[f1565]) ).

fof(f1565,plain,
    ( spl0_244
  <=> c0_1(a632) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_244])]) ).

fof(f5508,plain,
    ( ~ spl0_13
    | spl0_141
    | spl0_142
    | spl0_311 ),
    inference(avatar_contradiction_clause,[],[f5507]) ).

fof(f5507,plain,
    ( $false
    | ~ spl0_13
    | spl0_141
    | spl0_142
    | spl0_311 ),
    inference(subsumption_resolution,[],[f5506,f2370]) ).

fof(f2370,plain,
    ( ~ c3_1(a647)
    | spl0_311 ),
    inference(avatar_component_clause,[],[f2369]) ).

fof(f5506,plain,
    ( c3_1(a647)
    | ~ spl0_13
    | spl0_141
    | spl0_142 ),
    inference(subsumption_resolution,[],[f5489,f1018]) ).

fof(f1018,plain,
    ( ~ c1_1(a647)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f1016]) ).

fof(f5489,plain,
    ( c1_1(a647)
    | c3_1(a647)
    | ~ spl0_13
    | spl0_142 ),
    inference(resolution,[],[f417,f1023]) ).

fof(f1023,plain,
    ( ~ c2_1(a647)
    | spl0_142 ),
    inference(avatar_component_clause,[],[f1021]) ).

fof(f1021,plain,
    ( spl0_142
  <=> c2_1(a647) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f5420,plain,
    ( ~ spl0_17
    | ~ spl0_81
    | ~ spl0_134
    | spl0_135 ),
    inference(avatar_contradiction_clause,[],[f5419]) ).

fof(f5419,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_81
    | ~ spl0_134
    | spl0_135 ),
    inference(subsumption_resolution,[],[f5404,f986]) ).

fof(f986,plain,
    ( ~ c0_1(a651)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f984]) ).

fof(f984,plain,
    ( spl0_135
  <=> c0_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f5404,plain,
    ( c0_1(a651)
    | ~ spl0_17
    | ~ spl0_81
    | ~ spl0_134 ),
    inference(resolution,[],[f5301,f981]) ).

fof(f981,plain,
    ( c2_1(a651)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f979]) ).

fof(f979,plain,
    ( spl0_134
  <=> c2_1(a651) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f5301,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c0_1(X57) )
    | ~ spl0_17
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f703,f434]) ).

fof(f5413,plain,
    ( ~ spl0_17
    | ~ spl0_81
    | ~ spl0_282
    | spl0_283 ),
    inference(avatar_contradiction_clause,[],[f5412]) ).

fof(f5412,plain,
    ( $false
    | ~ spl0_17
    | ~ spl0_81
    | ~ spl0_282
    | spl0_283 ),
    inference(subsumption_resolution,[],[f5385,f1775]) ).

fof(f1775,plain,
    ( ~ c0_1(a606)
    | spl0_283 ),
    inference(avatar_component_clause,[],[f1773]) ).

fof(f5385,plain,
    ( c0_1(a606)
    | ~ spl0_17
    | ~ spl0_81
    | ~ spl0_282 ),
    inference(resolution,[],[f5301,f1770]) ).

fof(f5383,plain,
    ( ~ spl0_20
    | ~ spl0_44
    | spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f5382]) ).

fof(f5382,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_44
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f5367,f895]) ).

fof(f895,plain,
    ( c0_1(a669)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f893]) ).

fof(f893,plain,
    ( spl0_118
  <=> c0_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f5367,plain,
    ( ~ c0_1(a669)
    | ~ spl0_20
    | ~ spl0_44
    | spl0_117 ),
    inference(resolution,[],[f5299,f890]) ).

fof(f890,plain,
    ( ~ c2_1(a669)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f888]) ).

fof(f888,plain,
    ( spl0_117
  <=> c2_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f5299,plain,
    ( ! [X19] :
        ( c2_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_20
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f545,f447]) ).

fof(f545,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c3_1(X19)
        | c2_1(X19) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f544,plain,
    ( spl0_44
  <=> ! [X19] :
        ( ~ c0_1(X19)
        | c3_1(X19)
        | c2_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f5377,plain,
    ( ~ spl0_20
    | ~ spl0_44
    | spl0_200
    | ~ spl0_202 ),
    inference(avatar_contradiction_clause,[],[f5376]) ).

fof(f5376,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_44
    | spl0_200
    | ~ spl0_202 ),
    inference(subsumption_resolution,[],[f5358,f1343]) ).

fof(f1343,plain,
    ( c0_1(a677)
    | ~ spl0_202 ),
    inference(avatar_component_clause,[],[f1341]) ).

fof(f1341,plain,
    ( spl0_202
  <=> c0_1(a677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_202])]) ).

fof(f5358,plain,
    ( ~ c0_1(a677)
    | ~ spl0_20
    | ~ spl0_44
    | spl0_200 ),
    inference(resolution,[],[f5299,f1333]) ).

fof(f1333,plain,
    ( ~ c2_1(a677)
    | spl0_200 ),
    inference(avatar_component_clause,[],[f1331]) ).

fof(f1331,plain,
    ( spl0_200
  <=> c2_1(a677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_200])]) ).

fof(f5307,plain,
    ( ~ spl0_126
    | spl0_127
    | ~ spl0_17
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f5306,f931,f433,f941,f936]) ).

fof(f936,plain,
    ( spl0_126
  <=> c1_1(a662) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f5306,plain,
    ( c0_1(a662)
    | ~ c1_1(a662)
    | ~ spl0_17
    | ~ spl0_125 ),
    inference(resolution,[],[f933,f434]) ).

fof(f5298,plain,
    ( spl0_332
    | ~ spl0_89
    | spl0_245
    | spl0_246 ),
    inference(avatar_split_clause,[],[f5297,f1576,f1571,f744,f3837]) ).

fof(f1571,plain,
    ( spl0_245
  <=> c1_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_245])]) ).

fof(f1576,plain,
    ( spl0_246
  <=> c2_1(a628) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_246])]) ).

fof(f5297,plain,
    ( c0_1(a628)
    | ~ spl0_89
    | spl0_245
    | spl0_246 ),
    inference(subsumption_resolution,[],[f5217,f1573]) ).

fof(f1573,plain,
    ( ~ c1_1(a628)
    | spl0_245 ),
    inference(avatar_component_clause,[],[f1571]) ).

fof(f5217,plain,
    ( c0_1(a628)
    | c1_1(a628)
    | ~ spl0_89
    | spl0_246 ),
    inference(resolution,[],[f1578,f745]) ).

fof(f1578,plain,
    ( ~ c2_1(a628)
    | spl0_246 ),
    inference(avatar_component_clause,[],[f1576]) ).

fof(f5275,plain,
    ( ~ spl0_7
    | ~ spl0_33
    | ~ spl0_113
    | spl0_114
    | spl0_115 ),
    inference(avatar_contradiction_clause,[],[f5274]) ).

fof(f5274,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_33
    | ~ spl0_113
    | spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f5273,f874]) ).

fof(f874,plain,
    ( ~ c0_1(a670)
    | spl0_114 ),
    inference(avatar_component_clause,[],[f872]) ).

fof(f872,plain,
    ( spl0_114
  <=> c0_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f5273,plain,
    ( c0_1(a670)
    | ~ spl0_7
    | ~ spl0_33
    | ~ spl0_113
    | spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f5267,f879]) ).

fof(f879,plain,
    ( ~ c1_1(a670)
    | spl0_115 ),
    inference(avatar_component_clause,[],[f877]) ).

fof(f877,plain,
    ( spl0_115
  <=> c1_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f5267,plain,
    ( c1_1(a670)
    | c0_1(a670)
    | ~ spl0_7
    | ~ spl0_33
    | ~ spl0_113
    | spl0_114 ),
    inference(resolution,[],[f4766,f392]) ).

fof(f4766,plain,
    ( c3_1(a670)
    | ~ spl0_33
    | ~ spl0_113
    | spl0_114 ),
    inference(subsumption_resolution,[],[f4763,f874]) ).

fof(f4763,plain,
    ( c0_1(a670)
    | c3_1(a670)
    | ~ spl0_33
    | ~ spl0_113 ),
    inference(resolution,[],[f498,f869]) ).

fof(f869,plain,
    ( c2_1(a670)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f867]) ).

fof(f867,plain,
    ( spl0_113
  <=> c2_1(a670) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f5272,plain,
    ( ~ spl0_33
    | ~ spl0_50
    | ~ spl0_113
    | spl0_114
    | spl0_115 ),
    inference(avatar_contradiction_clause,[],[f5271]) ).

fof(f5271,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_50
    | ~ spl0_113
    | spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f5270,f869]) ).

fof(f5270,plain,
    ( ~ c2_1(a670)
    | ~ spl0_33
    | ~ spl0_50
    | ~ spl0_113
    | spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f5266,f879]) ).

fof(f5266,plain,
    ( c1_1(a670)
    | ~ c2_1(a670)
    | ~ spl0_33
    | ~ spl0_50
    | ~ spl0_113
    | spl0_114 ),
    inference(resolution,[],[f4766,f569]) ).

fof(f5184,plain,
    ( ~ spl0_330
    | ~ spl0_20
    | spl0_117
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f5183,f893,f888,f446,f3716]) ).

fof(f3716,plain,
    ( spl0_330
  <=> c3_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_330])]) ).

fof(f5183,plain,
    ( ~ c3_1(a669)
    | ~ spl0_20
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f5181,f890]) ).

fof(f5181,plain,
    ( c2_1(a669)
    | ~ c3_1(a669)
    | ~ spl0_20
    | ~ spl0_118 ),
    inference(resolution,[],[f895,f447]) ).

fof(f5155,plain,
    ( spl0_331
    | ~ spl0_89
    | spl0_198
    | spl0_199 ),
    inference(avatar_split_clause,[],[f5154,f1325,f1320,f744,f3721]) ).

fof(f5154,plain,
    ( c1_1(a599)
    | ~ spl0_89
    | spl0_198
    | spl0_199 ),
    inference(subsumption_resolution,[],[f5128,f1321]) ).

fof(f1321,plain,
    ( ~ c0_1(a599)
    | spl0_198 ),
    inference(avatar_component_clause,[],[f1320]) ).

fof(f5128,plain,
    ( c0_1(a599)
    | c1_1(a599)
    | ~ spl0_89
    | spl0_199 ),
    inference(resolution,[],[f745,f1327]) ).

fof(f4811,plain,
    ( ~ spl0_20
    | spl0_218
    | ~ spl0_219
    | ~ spl0_309 ),
    inference(avatar_contradiction_clause,[],[f4810]) ).

fof(f4810,plain,
    ( $false
    | ~ spl0_20
    | spl0_218
    | ~ spl0_219
    | ~ spl0_309 ),
    inference(subsumption_resolution,[],[f4809,f1434]) ).

fof(f1434,plain,
    ( c3_1(a652)
    | ~ spl0_219 ),
    inference(avatar_component_clause,[],[f1432]) ).

fof(f1432,plain,
    ( spl0_219
  <=> c3_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_219])]) ).

fof(f4809,plain,
    ( ~ c3_1(a652)
    | ~ spl0_20
    | spl0_218
    | ~ spl0_309 ),
    inference(subsumption_resolution,[],[f4807,f1429]) ).

fof(f1429,plain,
    ( ~ c2_1(a652)
    | spl0_218 ),
    inference(avatar_component_clause,[],[f1427]) ).

fof(f1427,plain,
    ( spl0_218
  <=> c2_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_218])]) ).

fof(f4807,plain,
    ( c2_1(a652)
    | ~ c3_1(a652)
    | ~ spl0_20
    | ~ spl0_309 ),
    inference(resolution,[],[f2291,f447]) ).

fof(f2291,plain,
    ( c0_1(a652)
    | ~ spl0_309 ),
    inference(avatar_component_clause,[],[f2289]) ).

fof(f2289,plain,
    ( spl0_309
  <=> c0_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_309])]) ).

fof(f4797,plain,
    ( ~ spl0_20
    | ~ spl0_44
    | ~ spl0_198
    | spl0_199 ),
    inference(avatar_contradiction_clause,[],[f4796]) ).

fof(f4796,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_44
    | ~ spl0_198
    | spl0_199 ),
    inference(subsumption_resolution,[],[f4779,f1322]) ).

fof(f4779,plain,
    ( ~ c0_1(a599)
    | ~ spl0_20
    | ~ spl0_44
    | spl0_199 ),
    inference(resolution,[],[f4767,f1327]) ).

fof(f4767,plain,
    ( ! [X19] :
        ( c2_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_20
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f545,f447]) ).

fof(f4795,plain,
    ( ~ spl0_20
    | ~ spl0_44
    | ~ spl0_207
    | spl0_208 ),
    inference(avatar_contradiction_clause,[],[f4794]) ).

fof(f4794,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_44
    | ~ spl0_207
    | spl0_208 ),
    inference(subsumption_resolution,[],[f4777,f1370]) ).

fof(f4777,plain,
    ( ~ c0_1(a666)
    | ~ spl0_20
    | ~ spl0_44
    | spl0_208 ),
    inference(resolution,[],[f4767,f1375]) ).

fof(f4647,plain,
    ( ~ spl0_331
    | ~ spl0_197
    | ~ spl0_24
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f4386,f1320,f462,f1315,f3721]) ).

fof(f462,plain,
    ( spl0_24
  <=> ! [X7] :
        ( ~ c3_1(X7)
        | ~ c0_1(X7)
        | ~ c1_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f4386,plain,
    ( ~ c3_1(a599)
    | ~ c1_1(a599)
    | ~ spl0_24
    | ~ spl0_198 ),
    inference(resolution,[],[f1322,f463]) ).

fof(f463,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | ~ c3_1(X7)
        | ~ c1_1(X7) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f4646,plain,
    ( ~ spl0_197
    | ~ spl0_20
    | ~ spl0_198
    | spl0_199 ),
    inference(avatar_split_clause,[],[f4626,f1325,f1320,f446,f1315]) ).

fof(f4626,plain,
    ( ~ c3_1(a599)
    | ~ spl0_20
    | ~ spl0_198
    | spl0_199 ),
    inference(subsumption_resolution,[],[f4588,f1327]) ).

fof(f4588,plain,
    ( c2_1(a599)
    | ~ c3_1(a599)
    | ~ spl0_20
    | ~ spl0_198 ),
    inference(resolution,[],[f447,f1322]) ).

fof(f4565,plain,
    ( spl0_309
    | ~ spl0_7
    | ~ spl0_219
    | spl0_220 ),
    inference(avatar_split_clause,[],[f4564,f1437,f1432,f391,f2289]) ).

fof(f1437,plain,
    ( spl0_220
  <=> c1_1(a652) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_220])]) ).

fof(f4564,plain,
    ( c0_1(a652)
    | ~ spl0_7
    | ~ spl0_219
    | spl0_220 ),
    inference(subsumption_resolution,[],[f4554,f1439]) ).

fof(f1439,plain,
    ( ~ c1_1(a652)
    | spl0_220 ),
    inference(avatar_component_clause,[],[f1437]) ).

fof(f4554,plain,
    ( c1_1(a652)
    | c0_1(a652)
    | ~ spl0_7
    | ~ spl0_219 ),
    inference(resolution,[],[f392,f1434]) ).

fof(f4311,plain,
    ( ~ spl0_198
    | spl0_331
    | ~ spl0_38
    | spl0_199 ),
    inference(avatar_split_clause,[],[f4309,f1325,f518,f3721,f1320]) ).

fof(f518,plain,
    ( spl0_38
  <=> ! [X16] :
        ( c2_1(X16)
        | c1_1(X16)
        | ~ c0_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f4309,plain,
    ( c1_1(a599)
    | ~ c0_1(a599)
    | ~ spl0_38
    | spl0_199 ),
    inference(resolution,[],[f1327,f519]) ).

fof(f519,plain,
    ( ! [X16] :
        ( c2_1(X16)
        | c1_1(X16)
        | ~ c0_1(X16) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f4169,plain,
    ( ~ spl0_7
    | ~ spl0_26
    | spl0_114
    | spl0_115 ),
    inference(avatar_contradiction_clause,[],[f4168]) ).

fof(f4168,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_26
    | spl0_114
    | spl0_115 ),
    inference(subsumption_resolution,[],[f4132,f874]) ).

fof(f4132,plain,
    ( c0_1(a670)
    | ~ spl0_7
    | ~ spl0_26
    | spl0_115 ),
    inference(resolution,[],[f4052,f879]) ).

fof(f4052,plain,
    ( ! [X1] :
        ( c1_1(X1)
        | c0_1(X1) )
    | ~ spl0_7
    | ~ spl0_26 ),
    inference(subsumption_resolution,[],[f392,f471]) ).

fof(f471,plain,
    ( ! [X9] :
        ( c1_1(X9)
        | c3_1(X9)
        | c0_1(X9) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f470]) ).

fof(f470,plain,
    ( spl0_26
  <=> ! [X9] :
        ( c1_1(X9)
        | c3_1(X9)
        | c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f4046,plain,
    ( ~ spl0_116
    | spl0_330
    | ~ spl0_32
    | spl0_117 ),
    inference(avatar_split_clause,[],[f3756,f888,f493,f3716,f883]) ).

fof(f883,plain,
    ( spl0_116
  <=> c1_1(a669) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f493,plain,
    ( spl0_32
  <=> ! [X12] :
        ( c3_1(X12)
        | c2_1(X12)
        | ~ c1_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f3756,plain,
    ( c3_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_32
    | spl0_117 ),
    inference(resolution,[],[f494,f890]) ).

fof(f494,plain,
    ( ! [X12] :
        ( c2_1(X12)
        | c3_1(X12)
        | ~ c1_1(X12) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f493]) ).

fof(f4043,plain,
    ( ~ spl0_13
    | ~ spl0_32
    | spl0_206
    | spl0_208 ),
    inference(avatar_contradiction_clause,[],[f4042]) ).

fof(f4042,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_32
    | spl0_206
    | spl0_208 ),
    inference(subsumption_resolution,[],[f4028,f1365]) ).

fof(f1365,plain,
    ( ~ c3_1(a666)
    | spl0_206 ),
    inference(avatar_component_clause,[],[f1363]) ).

fof(f1363,plain,
    ( spl0_206
  <=> c3_1(a666) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_206])]) ).

fof(f4028,plain,
    ( c3_1(a666)
    | ~ spl0_13
    | ~ spl0_32
    | spl0_208 ),
    inference(resolution,[],[f3981,f1375]) ).

fof(f3981,plain,
    ( ! [X3] :
        ( c2_1(X3)
        | c3_1(X3) )
    | ~ spl0_13
    | ~ spl0_32 ),
    inference(subsumption_resolution,[],[f417,f494]) ).

fof(f3955,plain,
    ( ~ spl0_4
    | ~ spl0_38
    | spl0_296
    | ~ spl0_298 ),
    inference(avatar_contradiction_clause,[],[f3954]) ).

fof(f3954,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_38
    | spl0_296
    | ~ spl0_298 ),
    inference(subsumption_resolution,[],[f3931,f1855]) ).

fof(f1855,plain,
    ( c0_1(a597)
    | ~ spl0_298 ),
    inference(avatar_component_clause,[],[f1853]) ).

fof(f1853,plain,
    ( spl0_298
  <=> c0_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_298])]) ).

fof(f3931,plain,
    ( ~ c0_1(a597)
    | ~ spl0_4
    | ~ spl0_38
    | spl0_296 ),
    inference(resolution,[],[f3861,f1845]) ).

fof(f1845,plain,
    ( ~ c1_1(a597)
    | spl0_296 ),
    inference(avatar_component_clause,[],[f1843]) ).

fof(f1843,plain,
    ( spl0_296
  <=> c1_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_296])]) ).

fof(f3861,plain,
    ( ! [X0] :
        ( c1_1(X0)
        | ~ c0_1(X0) )
    | ~ spl0_4
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f381,f519]) ).

fof(f3909,plain,
    ( ~ spl0_50
    | ~ spl0_65
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(avatar_contradiction_clause,[],[f3908]) ).

fof(f3908,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_65
    | ~ spl0_173
    | ~ spl0_175 ),
    inference(subsumption_resolution,[],[f3891,f1189]) ).

fof(f3891,plain,
    ( ~ c3_1(a617)
    | ~ spl0_50
    | ~ spl0_65
    | ~ spl0_175 ),
    inference(resolution,[],[f3850,f1199]) ).

fof(f3850,plain,
    ( ! [X24] :
        ( ~ c2_1(X24)
        | ~ c3_1(X24) )
    | ~ spl0_50
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f569,f633]) ).

fof(f633,plain,
    ( ! [X35] :
        ( ~ c3_1(X35)
        | ~ c1_1(X35)
        | ~ c2_1(X35) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f632]) ).

fof(f632,plain,
    ( spl0_65
  <=> ! [X35] :
        ( ~ c3_1(X35)
        | ~ c1_1(X35)
        | ~ c2_1(X35) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f3859,plain,
    ( ~ spl0_33
    | ~ spl0_72
    | ~ spl0_113
    | spl0_114 ),
    inference(avatar_contradiction_clause,[],[f3858]) ).

fof(f3858,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_72
    | ~ spl0_113
    | spl0_114 ),
    inference(subsumption_resolution,[],[f3855,f874]) ).

fof(f3855,plain,
    ( c0_1(a670)
    | ~ spl0_33
    | ~ spl0_72
    | ~ spl0_113 ),
    inference(resolution,[],[f869,f3456]) ).

fof(f3456,plain,
    ( ! [X50] :
        ( ~ c2_1(X50)
        | c0_1(X50) )
    | ~ spl0_33
    | ~ spl0_72 ),
    inference(subsumption_resolution,[],[f667,f498]) ).

fof(f3851,plain,
    ( ~ spl0_300
    | spl0_201
    | ~ spl0_32
    | spl0_200 ),
    inference(avatar_split_clause,[],[f3744,f1331,f493,f1336,f1927]) ).

fof(f1927,plain,
    ( spl0_300
  <=> c1_1(a677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_300])]) ).

fof(f1336,plain,
    ( spl0_201
  <=> c3_1(a677) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_201])]) ).

fof(f3744,plain,
    ( c3_1(a677)
    | ~ c1_1(a677)
    | ~ spl0_32
    | spl0_200 ),
    inference(resolution,[],[f494,f1333]) ).

fof(f3845,plain,
    ( ~ spl0_202
    | spl0_300
    | ~ spl0_38
    | spl0_200 ),
    inference(avatar_split_clause,[],[f3785,f1331,f518,f1927,f1341]) ).

fof(f3785,plain,
    ( c1_1(a677)
    | ~ c0_1(a677)
    | ~ spl0_38
    | spl0_200 ),
    inference(resolution,[],[f519,f1333]) ).

fof(f3812,plain,
    ( ~ spl0_38
    | spl0_237
    | spl0_238
    | ~ spl0_313 ),
    inference(avatar_contradiction_clause,[],[f3811]) ).

fof(f3811,plain,
    ( $false
    | ~ spl0_38
    | spl0_237
    | spl0_238
    | ~ spl0_313 ),
    inference(subsumption_resolution,[],[f3810,f2839]) ).

fof(f2839,plain,
    ( c0_1(a635)
    | ~ spl0_313 ),
    inference(avatar_component_clause,[],[f2838]) ).

fof(f2838,plain,
    ( spl0_313
  <=> c0_1(a635) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_313])]) ).

fof(f3810,plain,
    ( ~ c0_1(a635)
    | ~ spl0_38
    | spl0_237
    | spl0_238 ),
    inference(subsumption_resolution,[],[f3780,f1535]) ).

fof(f1535,plain,
    ( ~ c1_1(a635)
    | spl0_238 ),
    inference(avatar_component_clause,[],[f1533]) ).

fof(f1533,plain,
    ( spl0_238
  <=> c1_1(a635) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_238])]) ).

fof(f3780,plain,
    ( c1_1(a635)
    | ~ c0_1(a635)
    | ~ spl0_38
    | spl0_237 ),
    inference(resolution,[],[f519,f1530]) ).

fof(f1530,plain,
    ( ~ c2_1(a635)
    | spl0_237 ),
    inference(avatar_component_clause,[],[f1528]) ).

fof(f1528,plain,
    ( spl0_237
  <=> c2_1(a635) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_237])]) ).

fof(f3719,plain,
    ( ~ spl0_116
    | ~ spl0_330
    | ~ spl0_24
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2218,f893,f462,f3716,f883]) ).

fof(f2218,plain,
    ( ~ c3_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_24
    | ~ spl0_118 ),
    inference(resolution,[],[f895,f463]) ).

fof(f3689,plain,
    ( ~ spl0_30
    | spl0_218
    | ~ spl0_219
    | spl0_220 ),
    inference(avatar_contradiction_clause,[],[f3688]) ).

fof(f3688,plain,
    ( $false
    | ~ spl0_30
    | spl0_218
    | ~ spl0_219
    | spl0_220 ),
    inference(subsumption_resolution,[],[f3687,f1439]) ).

fof(f3687,plain,
    ( c1_1(a652)
    | ~ spl0_30
    | spl0_218
    | ~ spl0_219 ),
    inference(subsumption_resolution,[],[f3663,f1429]) ).

fof(f3663,plain,
    ( c2_1(a652)
    | c1_1(a652)
    | ~ spl0_30
    | ~ spl0_219 ),
    inference(resolution,[],[f487,f1434]) ).

fof(f3683,plain,
    ( ~ spl0_30
    | spl0_254
    | spl0_255
    | ~ spl0_256 ),
    inference(avatar_contradiction_clause,[],[f3682]) ).

fof(f3682,plain,
    ( $false
    | ~ spl0_30
    | spl0_254
    | spl0_255
    | ~ spl0_256 ),
    inference(subsumption_resolution,[],[f3681,f1626]) ).

fof(f3681,plain,
    ( c1_1(a624)
    | ~ spl0_30
    | spl0_254
    | ~ spl0_256 ),
    inference(subsumption_resolution,[],[f3656,f1621]) ).

fof(f3656,plain,
    ( c2_1(a624)
    | c1_1(a624)
    | ~ spl0_30
    | ~ spl0_256 ),
    inference(resolution,[],[f487,f1631]) ).

fof(f3644,plain,
    ( ~ spl0_33
    | ~ spl0_58
    | spl0_281
    | spl0_283 ),
    inference(avatar_contradiction_clause,[],[f3643]) ).

fof(f3643,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_58
    | spl0_281
    | spl0_283 ),
    inference(subsumption_resolution,[],[f3619,f1775]) ).

fof(f3619,plain,
    ( c0_1(a606)
    | ~ spl0_33
    | ~ spl0_58
    | spl0_281 ),
    inference(resolution,[],[f3610,f1765]) ).

fof(f3610,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c0_1(X29) )
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f602,f498]) ).

fof(f3608,plain,
    ( ~ spl0_20
    | ~ spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(avatar_contradiction_clause,[],[f3607]) ).

fof(f3607,plain,
    ( $false
    | ~ spl0_20
    | ~ spl0_137
    | spl0_138
    | ~ spl0_139 ),
    inference(subsumption_resolution,[],[f3606,f1007]) ).

fof(f1007,plain,
    ( c3_1(a648)
    | ~ spl0_139 ),
    inference(avatar_component_clause,[],[f1005]) ).

fof(f1005,plain,
    ( spl0_139
  <=> c3_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f3606,plain,
    ( ~ c3_1(a648)
    | ~ spl0_20
    | ~ spl0_137
    | spl0_138 ),
    inference(subsumption_resolution,[],[f3599,f1002]) ).

fof(f1002,plain,
    ( ~ c2_1(a648)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f1000]) ).

fof(f1000,plain,
    ( spl0_138
  <=> c2_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f3599,plain,
    ( c2_1(a648)
    | ~ c3_1(a648)
    | ~ spl0_20
    | ~ spl0_137 ),
    inference(resolution,[],[f447,f997]) ).

fof(f997,plain,
    ( c0_1(a648)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f995]) ).

fof(f995,plain,
    ( spl0_137
  <=> c0_1(a648) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3510,plain,
    ( ~ spl0_24
    | ~ spl0_49
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(avatar_contradiction_clause,[],[f3509]) ).

fof(f3509,plain,
    ( $false
    | ~ spl0_24
    | ~ spl0_49
    | ~ spl0_131
    | ~ spl0_132 ),
    inference(subsumption_resolution,[],[f3503,f970]) ).

fof(f3503,plain,
    ( ~ c3_1(a653)
    | ~ spl0_24
    | ~ spl0_49
    | ~ spl0_131 ),
    inference(resolution,[],[f3457,f965]) ).

fof(f965,plain,
    ( c1_1(a653)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f963]) ).

fof(f963,plain,
    ( spl0_131
  <=> c1_1(a653) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f3457,plain,
    ( ! [X22] :
        ( ~ c1_1(X22)
        | ~ c3_1(X22) )
    | ~ spl0_24
    | ~ spl0_49 ),
    inference(subsumption_resolution,[],[f565,f463]) ).

fof(f3488,plain,
    ( ~ spl0_161
    | ~ spl0_329
    | ~ spl0_65
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f3037,f1128,f632,f3485,f1123]) ).

fof(f1123,plain,
    ( spl0_161
  <=> c2_1(a623) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3037,plain,
    ( ~ c1_1(a623)
    | ~ c2_1(a623)
    | ~ spl0_65
    | ~ spl0_162 ),
    inference(resolution,[],[f1130,f633]) ).

fof(f3455,plain,
    ( spl0_283
    | ~ spl0_33
    | spl0_281
    | ~ spl0_282 ),
    inference(avatar_split_clause,[],[f3454,f1768,f1763,f497,f1773]) ).

fof(f3454,plain,
    ( c0_1(a606)
    | ~ spl0_33
    | spl0_281
    | ~ spl0_282 ),
    inference(subsumption_resolution,[],[f3448,f1765]) ).

fof(f3448,plain,
    ( c0_1(a606)
    | c3_1(a606)
    | ~ spl0_33
    | ~ spl0_282 ),
    inference(resolution,[],[f1770,f498]) ).

fof(f3356,plain,
    ( spl0_102
    | spl0_322
    | ~ spl0_90
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f3320,f813,f748,f3315,f808]) ).

fof(f813,plain,
    ( spl0_103
  <=> c2_1(a674) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f3320,plain,
    ( c3_1(a674)
    | c1_1(a674)
    | ~ spl0_90
    | ~ spl0_103 ),
    inference(resolution,[],[f815,f749]) ).

fof(f815,plain,
    ( c2_1(a674)
    | ~ spl0_103 ),
    inference(avatar_component_clause,[],[f813]) ).

fof(f3199,plain,
    ( ~ spl0_315
    | ~ spl0_184
    | ~ spl0_65
    | ~ spl0_183 ),
    inference(avatar_split_clause,[],[f3198,f1240,f632,f1245,f3187]) ).

fof(f3198,plain,
    ( ~ c1_1(a608)
    | ~ c2_1(a608)
    | ~ spl0_65
    | ~ spl0_183 ),
    inference(resolution,[],[f1242,f633]) ).

fof(f3192,plain,
    ( ~ spl0_184
    | ~ spl0_183
    | ~ spl0_24
    | ~ spl0_182 ),
    inference(avatar_split_clause,[],[f3185,f1235,f462,f1240,f1245]) ).

fof(f3185,plain,
    ( ~ c3_1(a608)
    | ~ c1_1(a608)
    | ~ spl0_24
    | ~ spl0_182 ),
    inference(resolution,[],[f1237,f463]) ).

fof(f3177,plain,
    ( ~ spl0_89
    | spl0_251
    | spl0_252
    | spl0_253 ),
    inference(avatar_contradiction_clause,[],[f3176]) ).

fof(f3176,plain,
    ( $false
    | ~ spl0_89
    | spl0_251
    | spl0_252
    | spl0_253 ),
    inference(subsumption_resolution,[],[f3175,f1610]) ).

fof(f1610,plain,
    ( ~ c1_1(a625)
    | spl0_252 ),
    inference(avatar_component_clause,[],[f1608]) ).

fof(f1608,plain,
    ( spl0_252
  <=> c1_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_252])]) ).

fof(f3175,plain,
    ( c1_1(a625)
    | ~ spl0_89
    | spl0_251
    | spl0_253 ),
    inference(subsumption_resolution,[],[f3151,f1605]) ).

fof(f1605,plain,
    ( ~ c0_1(a625)
    | spl0_251 ),
    inference(avatar_component_clause,[],[f1603]) ).

fof(f1603,plain,
    ( spl0_251
  <=> c0_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_251])]) ).

fof(f3151,plain,
    ( c0_1(a625)
    | c1_1(a625)
    | ~ spl0_89
    | spl0_253 ),
    inference(resolution,[],[f745,f1615]) ).

fof(f1615,plain,
    ( ~ c2_1(a625)
    | spl0_253 ),
    inference(avatar_component_clause,[],[f1613]) ).

fof(f1613,plain,
    ( spl0_253
  <=> c2_1(a625) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_253])]) ).

fof(f3114,plain,
    ( ~ spl0_4
    | ~ spl0_81
    | ~ spl0_113
    | spl0_115 ),
    inference(avatar_contradiction_clause,[],[f3113]) ).

fof(f3113,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_81
    | ~ spl0_113
    | spl0_115 ),
    inference(subsumption_resolution,[],[f3104,f879]) ).

fof(f3104,plain,
    ( c1_1(a670)
    | ~ spl0_4
    | ~ spl0_81
    | ~ spl0_113 ),
    inference(resolution,[],[f3087,f869]) ).

fof(f3087,plain,
    ( ! [X57] :
        ( ~ c2_1(X57)
        | c1_1(X57) )
    | ~ spl0_4
    | ~ spl0_81 ),
    inference(subsumption_resolution,[],[f703,f381]) ).

fof(f3112,plain,
    ( ~ spl0_4
    | ~ spl0_81
    | ~ spl0_129
    | spl0_130 ),
    inference(avatar_contradiction_clause,[],[f3111]) ).

fof(f3111,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_81
    | ~ spl0_129
    | spl0_130 ),
    inference(subsumption_resolution,[],[f3101,f959]) ).

fof(f959,plain,
    ( ~ c1_1(a658)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f957]) ).

fof(f957,plain,
    ( spl0_130
  <=> c1_1(a658) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f3101,plain,
    ( c1_1(a658)
    | ~ spl0_4
    | ~ spl0_81
    | ~ spl0_129 ),
    inference(resolution,[],[f3087,f954]) ).

fof(f2982,plain,
    ( ~ spl0_33
    | ~ spl0_67
    | spl0_269
    | ~ spl0_270 ),
    inference(avatar_contradiction_clause,[],[f2981]) ).

fof(f2981,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_67
    | spl0_269
    | ~ spl0_270 ),
    inference(subsumption_resolution,[],[f2962,f1701]) ).

fof(f2962,plain,
    ( c3_1(a613)
    | ~ spl0_33
    | ~ spl0_67
    | ~ spl0_270 ),
    inference(resolution,[],[f2958,f1706]) ).

fof(f2958,plain,
    ( ! [X36] :
        ( ~ c2_1(X36)
        | c3_1(X36) )
    | ~ spl0_33
    | ~ spl0_67 ),
    inference(subsumption_resolution,[],[f641,f498]) ).

fof(f641,plain,
    ( ! [X36] :
        ( ~ c0_1(X36)
        | ~ c2_1(X36)
        | c3_1(X36) )
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f640]) ).

fof(f640,plain,
    ( spl0_67
  <=> ! [X36] :
        ( ~ c0_1(X36)
        | ~ c2_1(X36)
        | c3_1(X36) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2924,plain,
    ( ~ spl0_33
    | ~ spl0_46
    | ~ spl0_58
    | ~ spl0_170
    | spl0_171
    | spl0_172 ),
    inference(avatar_contradiction_clause,[],[f2923]) ).

fof(f2923,plain,
    ( $false
    | ~ spl0_33
    | ~ spl0_46
    | ~ spl0_58
    | ~ spl0_170
    | spl0_171
    | spl0_172 ),
    inference(subsumption_resolution,[],[f2906,f2703]) ).

fof(f2703,plain,
    ( ~ c0_1(a618)
    | ~ spl0_46
    | ~ spl0_170
    | spl0_172 ),
    inference(subsumption_resolution,[],[f2691,f1173]) ).

fof(f1173,plain,
    ( c1_1(a618)
    | ~ spl0_170 ),
    inference(avatar_component_clause,[],[f1171]) ).

fof(f1171,plain,
    ( spl0_170
  <=> c1_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f2691,plain,
    ( ~ c0_1(a618)
    | ~ c1_1(a618)
    | ~ spl0_46
    | spl0_172 ),
    inference(resolution,[],[f553,f1183]) ).

fof(f1183,plain,
    ( ~ c2_1(a618)
    | spl0_172 ),
    inference(avatar_component_clause,[],[f1181]) ).

fof(f1181,plain,
    ( spl0_172
  <=> c2_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f2906,plain,
    ( c0_1(a618)
    | ~ spl0_33
    | ~ spl0_58
    | spl0_171 ),
    inference(resolution,[],[f2888,f1178]) ).

fof(f1178,plain,
    ( ~ c3_1(a618)
    | spl0_171 ),
    inference(avatar_component_clause,[],[f1176]) ).

fof(f1176,plain,
    ( spl0_171
  <=> c3_1(a618) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f2888,plain,
    ( ! [X29] :
        ( c3_1(X29)
        | c0_1(X29) )
    | ~ spl0_33
    | ~ spl0_58 ),
    inference(subsumption_resolution,[],[f602,f498]) ).

fof(f2922,plain,
    ( spl0_313
    | ~ spl0_33
    | ~ spl0_58
    | spl0_236 ),
    inference(avatar_split_clause,[],[f2897,f1523,f601,f497,f2838]) ).

fof(f1523,plain,
    ( spl0_236
  <=> c3_1(a635) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_236])]) ).

fof(f2897,plain,
    ( c0_1(a635)
    | ~ spl0_33
    | ~ spl0_58
    | spl0_236 ),
    inference(resolution,[],[f2888,f1525]) ).

fof(f1525,plain,
    ( ~ c3_1(a635)
    | spl0_236 ),
    inference(avatar_component_clause,[],[f1523]) ).

fof(f2844,plain,
    ( spl0_313
    | ~ spl0_26
    | spl0_236
    | spl0_238 ),
    inference(avatar_split_clause,[],[f2843,f1533,f1523,f470,f2838]) ).

fof(f2843,plain,
    ( c0_1(a635)
    | ~ spl0_26
    | spl0_236
    | spl0_238 ),
    inference(subsumption_resolution,[],[f2842,f1525]) ).

fof(f2842,plain,
    ( c3_1(a635)
    | c0_1(a635)
    | ~ spl0_26
    | spl0_238 ),
    inference(resolution,[],[f1535,f471]) ).

fof(f2833,plain,
    ( ~ spl0_50
    | ~ spl0_128
    | ~ spl0_129
    | spl0_130 ),
    inference(avatar_contradiction_clause,[],[f2832]) ).

fof(f2832,plain,
    ( $false
    | ~ spl0_50
    | ~ spl0_128
    | ~ spl0_129
    | spl0_130 ),
    inference(subsumption_resolution,[],[f2831,f954]) ).

fof(f2831,plain,
    ( ~ c2_1(a658)
    | ~ spl0_50
    | ~ spl0_128
    | spl0_130 ),
    inference(subsumption_resolution,[],[f2823,f959]) ).

fof(f2823,plain,
    ( c1_1(a658)
    | ~ c2_1(a658)
    | ~ spl0_50
    | ~ spl0_128 ),
    inference(resolution,[],[f569,f949]) ).

fof(f2762,plain,
    ( ~ spl0_32
    | ~ spl0_170
    | spl0_171
    | spl0_172 ),
    inference(avatar_contradiction_clause,[],[f2761]) ).

fof(f2761,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_170
    | spl0_171
    | spl0_172 ),
    inference(subsumption_resolution,[],[f2760,f1173]) ).

fof(f2760,plain,
    ( ~ c1_1(a618)
    | ~ spl0_32
    | spl0_171
    | spl0_172 ),
    inference(subsumption_resolution,[],[f2743,f1178]) ).

fof(f2743,plain,
    ( c3_1(a618)
    | ~ c1_1(a618)
    | ~ spl0_32
    | spl0_172 ),
    inference(resolution,[],[f494,f1183]) ).

fof(f2729,plain,
    ( ~ spl0_30
    | spl0_245
    | spl0_246
    | ~ spl0_247 ),
    inference(avatar_contradiction_clause,[],[f2728]) ).

fof(f2728,plain,
    ( $false
    | ~ spl0_30
    | spl0_245
    | spl0_246
    | ~ spl0_247 ),
    inference(subsumption_resolution,[],[f2727,f1573]) ).

fof(f2727,plain,
    ( c1_1(a628)
    | ~ spl0_30
    | spl0_246
    | ~ spl0_247 ),
    inference(subsumption_resolution,[],[f2715,f1578]) ).

fof(f2715,plain,
    ( c2_1(a628)
    | c1_1(a628)
    | ~ spl0_30
    | ~ spl0_247 ),
    inference(resolution,[],[f487,f1583]) ).

fof(f2709,plain,
    ( ~ spl0_116
    | ~ spl0_46
    | spl0_117
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f2705,f893,f888,f552,f883]) ).

fof(f2705,plain,
    ( ~ c1_1(a669)
    | ~ spl0_46
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2695,f895]) ).

fof(f2695,plain,
    ( ~ c0_1(a669)
    | ~ c1_1(a669)
    | ~ spl0_46
    | spl0_117 ),
    inference(resolution,[],[f553,f890]) ).

fof(f2681,plain,
    ( ~ spl0_38
    | ~ spl0_140
    | spl0_141
    | spl0_142 ),
    inference(avatar_contradiction_clause,[],[f2680]) ).

fof(f2680,plain,
    ( $false
    | ~ spl0_38
    | ~ spl0_140
    | spl0_141
    | spl0_142 ),
    inference(subsumption_resolution,[],[f2679,f1013]) ).

fof(f2679,plain,
    ( ~ c0_1(a647)
    | ~ spl0_38
    | spl0_141
    | spl0_142 ),
    inference(subsumption_resolution,[],[f2672,f1018]) ).

fof(f2672,plain,
    ( c1_1(a647)
    | ~ c0_1(a647)
    | ~ spl0_38
    | spl0_142 ),
    inference(resolution,[],[f519,f1023]) ).

fof(f2453,plain,
    ( ~ spl0_5
    | ~ spl0_24
    | ~ spl0_44
    | spl0_117
    | ~ spl0_118 ),
    inference(avatar_contradiction_clause,[],[f2452]) ).

fof(f2452,plain,
    ( $false
    | ~ spl0_5
    | ~ spl0_24
    | ~ spl0_44
    | spl0_117
    | ~ spl0_118 ),
    inference(subsumption_resolution,[],[f2447,f895]) ).

fof(f2447,plain,
    ( ~ c0_1(a669)
    | ~ spl0_5
    | ~ spl0_24
    | ~ spl0_44
    | spl0_117 ),
    inference(resolution,[],[f2394,f890]) ).

fof(f2394,plain,
    ( ! [X19] :
        ( c2_1(X19)
        | ~ c0_1(X19) )
    | ~ spl0_5
    | ~ spl0_24
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f545,f2051]) ).

fof(f2051,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c3_1(X2) )
    | ~ spl0_5
    | ~ spl0_24 ),
    inference(subsumption_resolution,[],[f385,f463]) ).

fof(f2398,plain,
    ( ~ spl0_197
    | ~ spl0_5
    | ~ spl0_24
    | ~ spl0_198 ),
    inference(avatar_split_clause,[],[f2389,f1320,f462,f384,f1315]) ).

fof(f2389,plain,
    ( ~ c3_1(a599)
    | ~ spl0_5
    | ~ spl0_24
    | ~ spl0_198 ),
    inference(resolution,[],[f1322,f2051]) ).

fof(f2261,plain,
    ( spl0_303
    | ~ spl0_33
    | spl0_269
    | ~ spl0_270 ),
    inference(avatar_split_clause,[],[f2054,f1704,f1699,f497,f2056]) ).

fof(f2054,plain,
    ( c0_1(a613)
    | ~ spl0_33
    | spl0_269
    | ~ spl0_270 ),
    inference(subsumption_resolution,[],[f2052,f1701]) ).

fof(f2052,plain,
    ( c0_1(a613)
    | c3_1(a613)
    | ~ spl0_33
    | ~ spl0_270 ),
    inference(resolution,[],[f1706,f498]) ).

fof(f2237,plain,
    ( ~ spl0_4
    | spl0_293
    | ~ spl0_294
    | ~ spl0_295 ),
    inference(avatar_contradiction_clause,[],[f2236]) ).

fof(f2236,plain,
    ( $false
    | ~ spl0_4
    | spl0_293
    | ~ spl0_294
    | ~ spl0_295 ),
    inference(subsumption_resolution,[],[f2235,f1834]) ).

fof(f1834,plain,
    ( c2_1(a598)
    | ~ spl0_294 ),
    inference(avatar_component_clause,[],[f1832]) ).

fof(f1832,plain,
    ( spl0_294
  <=> c2_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_294])]) ).

fof(f2235,plain,
    ( ~ c2_1(a598)
    | ~ spl0_4
    | spl0_293
    | ~ spl0_295 ),
    inference(subsumption_resolution,[],[f2225,f1829]) ).

fof(f1829,plain,
    ( ~ c1_1(a598)
    | spl0_293 ),
    inference(avatar_component_clause,[],[f1827]) ).

fof(f1827,plain,
    ( spl0_293
  <=> c1_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_293])]) ).

fof(f2225,plain,
    ( c1_1(a598)
    | ~ c2_1(a598)
    | ~ spl0_4
    | ~ spl0_295 ),
    inference(resolution,[],[f381,f1839]) ).

fof(f1839,plain,
    ( c0_1(a598)
    | ~ spl0_295 ),
    inference(avatar_component_clause,[],[f1837]) ).

fof(f1837,plain,
    ( spl0_295
  <=> c0_1(a598) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_295])]) ).

fof(f2050,plain,
    ( ~ spl0_160
    | ~ spl0_24
    | ~ spl0_158
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f2049,f1112,f1107,f462,f1117]) ).

fof(f1117,plain,
    ( spl0_160
  <=> c1_1(a626) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1107,plain,
    ( spl0_158
  <=> c3_1(a626) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1112,plain,
    ( spl0_159
  <=> c0_1(a626) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f2049,plain,
    ( ~ c1_1(a626)
    | ~ spl0_24
    | ~ spl0_158
    | ~ spl0_159 ),
    inference(subsumption_resolution,[],[f2048,f1109]) ).

fof(f1109,plain,
    ( c3_1(a626)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1107]) ).

fof(f2048,plain,
    ( ~ c3_1(a626)
    | ~ c1_1(a626)
    | ~ spl0_24
    | ~ spl0_159 ),
    inference(resolution,[],[f1114,f463]) ).

fof(f1114,plain,
    ( c0_1(a626)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1112]) ).

fof(f2038,plain,
    ( spl0_26
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(avatar_split_clause,[],[f2037,f497,f416,f470]) ).

fof(f2037,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c1_1(X0) )
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(duplicate_literal_removal,[],[f2031]) ).

fof(f2031,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c3_1(X0)
        | c1_1(X0)
        | c3_1(X0) )
    | ~ spl0_13
    | ~ spl0_33 ),
    inference(resolution,[],[f498,f417]) ).

fof(f2018,plain,
    ( ~ spl0_13
    | ~ spl0_30
    | spl0_252
    | spl0_253 ),
    inference(avatar_contradiction_clause,[],[f2017]) ).

fof(f2017,plain,
    ( $false
    | ~ spl0_13
    | ~ spl0_30
    | spl0_252
    | spl0_253 ),
    inference(subsumption_resolution,[],[f2009,f1610]) ).

fof(f2009,plain,
    ( c1_1(a625)
    | ~ spl0_13
    | ~ spl0_30
    | spl0_253 ),
    inference(resolution,[],[f1997,f1615]) ).

fof(f1997,plain,
    ( ! [X13] :
        ( c2_1(X13)
        | c1_1(X13) )
    | ~ spl0_13
    | ~ spl0_30 ),
    inference(subsumption_resolution,[],[f487,f417]) ).

fof(f1956,plain,
    ( ~ spl0_26
    | spl0_239
    | spl0_240
    | spl0_241 ),
    inference(avatar_contradiction_clause,[],[f1955]) ).

fof(f1955,plain,
    ( $false
    | ~ spl0_26
    | spl0_239
    | spl0_240
    | spl0_241 ),
    inference(subsumption_resolution,[],[f1954,f1546]) ).

fof(f1546,plain,
    ( ~ c0_1(a634)
    | spl0_240 ),
    inference(avatar_component_clause,[],[f1544]) ).

fof(f1544,plain,
    ( spl0_240
  <=> c0_1(a634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_240])]) ).

fof(f1954,plain,
    ( c0_1(a634)
    | ~ spl0_26
    | spl0_239
    | spl0_241 ),
    inference(subsumption_resolution,[],[f1946,f1541]) ).

fof(f1541,plain,
    ( ~ c3_1(a634)
    | spl0_239 ),
    inference(avatar_component_clause,[],[f1539]) ).

fof(f1539,plain,
    ( spl0_239
  <=> c3_1(a634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_239])]) ).

fof(f1946,plain,
    ( c3_1(a634)
    | c0_1(a634)
    | ~ spl0_26
    | spl0_241 ),
    inference(resolution,[],[f471,f1551]) ).

fof(f1551,plain,
    ( ~ c1_1(a634)
    | spl0_241 ),
    inference(avatar_component_clause,[],[f1549]) ).

fof(f1549,plain,
    ( spl0_241
  <=> c1_1(a634) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_241])]) ).

fof(f1922,plain,
    ( ~ spl0_7
    | ~ spl0_122
    | spl0_123
    | spl0_124 ),
    inference(avatar_contradiction_clause,[],[f1921]) ).

fof(f1921,plain,
    ( $false
    | ~ spl0_7
    | ~ spl0_122
    | spl0_123
    | spl0_124 ),
    inference(subsumption_resolution,[],[f1920,f927]) ).

fof(f927,plain,
    ( ~ c0_1(a663)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f925]) ).

fof(f925,plain,
    ( spl0_124
  <=> c0_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1920,plain,
    ( c0_1(a663)
    | ~ spl0_7
    | ~ spl0_122
    | spl0_123 ),
    inference(subsumption_resolution,[],[f1912,f922]) ).

fof(f922,plain,
    ( ~ c1_1(a663)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f920]) ).

fof(f920,plain,
    ( spl0_123
  <=> c1_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f1912,plain,
    ( c1_1(a663)
    | c0_1(a663)
    | ~ spl0_7
    | ~ spl0_122 ),
    inference(resolution,[],[f392,f917]) ).

fof(f917,plain,
    ( c3_1(a663)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f915]) ).

fof(f915,plain,
    ( spl0_122
  <=> c3_1(a663) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1895,plain,
    ( ~ spl0_4
    | ~ spl0_13
    | spl0_296
    | spl0_297
    | ~ spl0_298 ),
    inference(avatar_contradiction_clause,[],[f1894]) ).

fof(f1894,plain,
    ( $false
    | ~ spl0_4
    | ~ spl0_13
    | spl0_296
    | spl0_297
    | ~ spl0_298 ),
    inference(subsumption_resolution,[],[f1893,f1850]) ).

fof(f1850,plain,
    ( ~ c3_1(a597)
    | spl0_297 ),
    inference(avatar_component_clause,[],[f1848]) ).

fof(f1848,plain,
    ( spl0_297
  <=> c3_1(a597) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_297])]) ).

fof(f1893,plain,
    ( c3_1(a597)
    | ~ spl0_4
    | ~ spl0_13
    | spl0_296
    | ~ spl0_298 ),
    inference(subsumption_resolution,[],[f1892,f1845]) ).

fof(f1892,plain,
    ( c1_1(a597)
    | c3_1(a597)
    | ~ spl0_4
    | ~ spl0_13
    | spl0_296
    | ~ spl0_298 ),
    inference(resolution,[],[f1891,f417]) ).

fof(f1891,plain,
    ( ~ c2_1(a597)
    | ~ spl0_4
    | spl0_296
    | ~ spl0_298 ),
    inference(subsumption_resolution,[],[f1890,f1845]) ).

fof(f1890,plain,
    ( c1_1(a597)
    | ~ c2_1(a597)
    | ~ spl0_4
    | ~ spl0_298 ),
    inference(resolution,[],[f1855,f381]) ).

fof(f1856,plain,
    ( ~ spl0_95
    | spl0_298 ),
    inference(avatar_split_clause,[],[f8,f1853,f774]) ).

fof(f774,plain,
    ( spl0_95
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f8,plain,
    ( c0_1(a597)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( ! [X0] :
          ( ~ c2_1(X0)
          | ~ c0_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp30
      | hskp32 )
    & ( ! [X1] :
          ( ~ c3_1(X1)
          | c0_1(X1)
          | c1_1(X1)
          | ~ ndr1_0 )
      | hskp55
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp66
      | hskp65
      | hskp64 )
    & ( ! [X3] :
          ( c2_1(X3)
          | c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 )
      | hskp63
      | hskp62 )
    & ( hskp61
      | hskp60
      | hskp33 )
    & ( ! [X4] :
          ( ~ c0_1(X4)
          | c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp31
      | ! [X5] :
          ( c0_1(X5)
          | ~ c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp59 )
    & ( hskp41
      | hskp58
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c3_1(X8)
          | c1_1(X8)
          | ~ ndr1_0 )
      | hskp57 )
    & ( ! [X9] :
          ( c1_1(X9)
          | c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c0_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp42 )
    & ( hskp29
      | hskp3
      | ! [X11] :
          ( ~ c3_1(X11)
          | c2_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | hskp56
      | ! [X13] :
          ( ~ c3_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c3_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp55 )
    & ( hskp28
      | hskp40
      | hskp27 )
    & ( ! [X16] :
          ( c2_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | hskp55
      | hskp26 )
    & ( ! [X17] :
          ( c0_1(X17)
          | ~ c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp54
      | hskp37 )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | c1_1(X18)
          | c0_1(X18)
          | ~ ndr1_0 )
      | hskp17
      | hskp53 )
    & ( hskp52
      | ! [X19] :
          ( ~ c0_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | hskp25 )
    & ( hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c1_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | c0_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp51
      | ! [X23] :
          ( c3_1(X23)
          | c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp23
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp50
      | ! [X25] :
          ( c1_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp49
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | hskp48 )
    & ( ! [X27] :
          ( c2_1(X27)
          | c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | c0_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | hskp47 )
    & ( hskp20
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp9
      | hskp18 )
    & ( ! [X33] :
          ( ~ c0_1(X33)
          | ~ c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c2_1(X39)
          | c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | hskp36 )
    & ( hskp9
      | hskp17
      | hskp16 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp46
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c1_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c0_1(X48)
          | c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp15
      | hskp14 )
    & ( hskp45
      | ! [X49] :
          ( ~ c1_1(X49)
          | c3_1(X49)
          | c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c1_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | hskp13
      | hskp44 )
    & ( ! [X52] :
          ( c2_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp12
      | hskp43 )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c1_1(X56)
          | ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c2_1(X59)
          | ~ c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | ~ c0_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | hskp42 )
    & ( ! [X64] :
          ( c2_1(X64)
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | hskp41
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c0_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c3_1(X69)
          | c1_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | hskp11
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp40
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | c1_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X75] :
          ( c3_1(X75)
          | c1_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp39
      | hskp7
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp6
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c0_1(X80)
          | c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | hskp38 )
    & ( ! [X81] :
          ( c2_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp37
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp36
      | hskp4
      | hskp3 )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp35 )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | ~ c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c2_1(X89)
          | c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | ~ c3_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp34
      | hskp33 )
    & ( hskp1
      | ! [X93] :
          ( c1_1(X93)
          | ~ c3_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X94] :
          ( c3_1(X94)
          | ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c3_1(X96)
          | c2_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a675)
        & ~ c2_1(a675)
        & c1_1(a675)
        & ndr1_0 )
      | ~ hskp66 )
    & ( ( c0_1(a674)
        & ~ c1_1(a674)
        & c2_1(a674)
        & ndr1_0 )
      | ~ hskp65 )
    & ( ( c1_1(a673)
        & ~ c0_1(a673)
        & c3_1(a673)
        & ndr1_0 )
      | ~ hskp64 )
    & ( ( c3_1(a672)
        & ~ c2_1(a672)
        & ~ c0_1(a672)
        & ndr1_0 )
      | ~ hskp63 )
    & ( ( c0_1(a671)
        & c3_1(a671)
        & ~ c1_1(a671)
        & ndr1_0 )
      | ~ hskp62 )
    & ( ( c2_1(a670)
        & ~ c0_1(a670)
        & ~ c1_1(a670)
        & ndr1_0 )
      | ~ hskp61 )
    & ( ( c1_1(a669)
        & ~ c2_1(a669)
        & c0_1(a669)
        & ndr1_0 )
      | ~ hskp60 )
    & ( ( c3_1(a665)
        & c2_1(a665)
        & ~ c0_1(a665)
        & ndr1_0 )
      | ~ hskp59 )
    & ( ( c3_1(a663)
        & ~ c1_1(a663)
        & ~ c0_1(a663)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c2_1(a662)
        & c1_1(a662)
        & ~ c0_1(a662)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c3_1(a658)
        & c2_1(a658)
        & ~ c1_1(a658)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c1_1(a653)
        & c3_1(a653)
        & ~ c2_1(a653)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c2_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c0_1(a648)
        & ~ c2_1(a648)
        & c3_1(a648)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c0_1(a647)
        & ~ c1_1(a647)
        & ~ c2_1(a647)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c0_1(a644)
        & ~ c3_1(a644)
        & c2_1(a644)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c0_1(a640)
        & c1_1(a640)
        & ~ c3_1(a640)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c1_1(a639)
        & ~ c0_1(a639)
        & ~ c2_1(a639)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c2_1(a638)
        & c1_1(a638)
        & ~ c3_1(a638)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c3_1(a636)
        & ~ c0_1(a636)
        & ~ c1_1(a636)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c3_1(a626)
        & c0_1(a626)
        & c1_1(a626)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c2_1(a623)
        & c3_1(a623)
        & ~ c0_1(a623)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c3_1(a621)
        & ~ c0_1(a621)
        & c2_1(a621)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a619)
        & ~ c1_1(a619)
        & ~ c3_1(a619)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c1_1(a618)
        & ~ c3_1(a618)
        & ~ c2_1(a618)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( c3_1(a617)
        & ~ c1_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( c0_1(a614)
        & c1_1(a614)
        & c2_1(a614)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( c2_1(a611)
        & c3_1(a611)
        & ~ c1_1(a611)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( c0_1(a608)
        & c3_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( c0_1(a607)
        & ~ c2_1(a607)
        & c1_1(a607)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( c0_1(a605)
        & ~ c3_1(a605)
        & c1_1(a605)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( c2_1(a602)
        & ~ c1_1(a602)
        & ~ c3_1(a602)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( c0_1(a600)
        & c2_1(a600)
        & ~ c3_1(a600)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( c3_1(a599)
        & c0_1(a599)
        & ~ c2_1(a599)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( ~ c2_1(a677)
        & ~ c3_1(a677)
        & c0_1(a677)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( ~ c0_1(a667)
        & c1_1(a667)
        & ~ c2_1(a667)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( ~ c3_1(a666)
        & c0_1(a666)
        & ~ c2_1(a666)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( ~ c0_1(a660)
        & ~ c3_1(a660)
        & ~ c1_1(a660)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( ~ c0_1(a656)
        & c1_1(a656)
        & ~ c3_1(a656)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a654)
        & ~ c0_1(a654)
        & ~ c3_1(a654)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & ~ c1_1(a652)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a646)
        & ~ c2_1(a646)
        & c3_1(a646)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a643)
        & c3_1(a643)
        & ~ c0_1(a643)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a642)
        & c3_1(a642)
        & c2_1(a642)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a641)
        & ~ c1_1(a641)
        & c0_1(a641)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a637)
        & c0_1(a637)
        & c1_1(a637)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a635)
        & ~ c2_1(a635)
        & ~ c1_1(a635)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a634)
        & ~ c0_1(a634)
        & ~ c1_1(a634)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a632)
        & c3_1(a632)
        & c0_1(a632)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a628)
        & ~ c2_1(a628)
        & c3_1(a628)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a627)
        & c0_1(a627)
        & c2_1(a627)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a625)
        & ~ c1_1(a625)
        & ~ c2_1(a625)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a624)
        & ~ c1_1(a624)
        & c3_1(a624)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a622)
        & ~ c2_1(a622)
        & ~ c1_1(a622)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a620)
        & ~ c3_1(a620)
        & ~ c0_1(a620)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a616)
        & c1_1(a616)
        & c0_1(a616)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a615)
        & c3_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a613)
        & c2_1(a613)
        & c1_1(a613)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a612)
        & c3_1(a612)
        & ~ c2_1(a612)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a610)
        & ~ c2_1(a610)
        & c1_1(a610)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a609)
        & ~ c0_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a606)
        & c2_1(a606)
        & ~ c0_1(a606)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a604)
        & ~ c0_1(a604)
        & ~ c2_1(a604)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a601)
        & ~ c2_1(a601)
        & c0_1(a601)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a598)
        & c2_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a597)
        & ~ c3_1(a597)
        & c0_1(a597)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( ! [X0] :
          ( ~ c2_1(X0)
          | ~ c0_1(X0)
          | c1_1(X0)
          | ~ ndr1_0 )
      | hskp30
      | hskp32 )
    & ( ! [X1] :
          ( ~ c3_1(X1)
          | c0_1(X1)
          | c1_1(X1)
          | ~ ndr1_0 )
      | hskp55
      | ! [X2] :
          ( c1_1(X2)
          | ~ c0_1(X2)
          | ~ c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp66
      | hskp65
      | hskp64 )
    & ( ! [X3] :
          ( c2_1(X3)
          | c3_1(X3)
          | c1_1(X3)
          | ~ ndr1_0 )
      | hskp63
      | hskp62 )
    & ( hskp61
      | hskp60
      | hskp33 )
    & ( ! [X4] :
          ( ~ c0_1(X4)
          | c1_1(X4)
          | ~ c2_1(X4)
          | ~ ndr1_0 )
      | hskp31
      | ! [X5] :
          ( c0_1(X5)
          | ~ c1_1(X5)
          | ~ c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp30
      | hskp59 )
    & ( hskp41
      | hskp58
      | ! [X6] :
          ( ~ c0_1(X6)
          | ~ c3_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 )
      | ! [X8] :
          ( ~ c0_1(X8)
          | ~ c3_1(X8)
          | c1_1(X8)
          | ~ ndr1_0 )
      | hskp57 )
    & ( ! [X9] :
          ( c1_1(X9)
          | c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( c1_1(X10)
          | c0_1(X10)
          | ~ c3_1(X10)
          | ~ ndr1_0 )
      | hskp42 )
    & ( hskp29
      | hskp3
      | ! [X11] :
          ( ~ c3_1(X11)
          | c2_1(X11)
          | c0_1(X11)
          | ~ ndr1_0 ) )
    & ( ! [X12] :
          ( c3_1(X12)
          | ~ c1_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 )
      | hskp56
      | ! [X13] :
          ( ~ c3_1(X13)
          | c1_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( ! [X14] :
          ( c0_1(X14)
          | c3_1(X14)
          | ~ c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( c1_1(X15)
          | ~ c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 )
      | hskp55 )
    & ( hskp28
      | hskp40
      | hskp27 )
    & ( ! [X16] :
          ( c2_1(X16)
          | ~ c0_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 )
      | hskp55
      | hskp26 )
    & ( ! [X17] :
          ( c0_1(X17)
          | ~ c2_1(X17)
          | c3_1(X17)
          | ~ ndr1_0 )
      | hskp54
      | hskp37 )
    & ( ! [X18] :
          ( ~ c3_1(X18)
          | c1_1(X18)
          | c0_1(X18)
          | ~ ndr1_0 )
      | hskp17
      | hskp53 )
    & ( hskp52
      | ! [X19] :
          ( ~ c0_1(X19)
          | c2_1(X19)
          | c3_1(X19)
          | ~ ndr1_0 )
      | hskp25 )
    & ( hskp5
      | ! [X20] :
          ( ~ c3_1(X20)
          | c1_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( c2_1(X21)
          | ~ c1_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 ) )
    & ( ! [X22] :
          ( ~ c3_1(X22)
          | c0_1(X22)
          | ~ c1_1(X22)
          | ~ ndr1_0 )
      | hskp51
      | ! [X23] :
          ( c3_1(X23)
          | c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp23
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c2_1(X24)
          | c1_1(X24)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp50
      | ! [X25] :
          ( c1_1(X25)
          | c2_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp49
      | ! [X26] :
          ( ~ c0_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 )
      | hskp48 )
    & ( ! [X27] :
          ( c2_1(X27)
          | c0_1(X27)
          | c3_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( c0_1(X28)
          | c1_1(X28)
          | c3_1(X28)
          | ~ ndr1_0 )
      | ! [X29] :
          ( c3_1(X29)
          | c0_1(X29)
          | c2_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 )
      | hskp47 )
    & ( hskp20
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c3_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c1_1(X32)
          | ~ c2_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp9
      | hskp18 )
    & ( ! [X33] :
          ( ~ c0_1(X33)
          | ~ c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c1_1(X34)
          | ~ c2_1(X34)
          | ~ c3_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c1_1(X35)
          | ~ ndr1_0 ) )
    & ( ! [X36] :
          ( ~ c0_1(X36)
          | c3_1(X36)
          | ~ c2_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c0_1(X37)
          | c2_1(X37)
          | ~ c3_1(X37)
          | ~ ndr1_0 )
      | hskp16 )
    & ( ! [X38] :
          ( ~ c3_1(X38)
          | ~ c1_1(X38)
          | ~ c0_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c2_1(X39)
          | c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | hskp36 )
    & ( hskp9
      | hskp17
      | hskp16 )
    & ( ! [X40] :
          ( c0_1(X40)
          | c3_1(X40)
          | ~ c2_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( c1_1(X41)
          | c3_1(X41)
          | c2_1(X41)
          | ~ ndr1_0 )
      | ! [X42] :
          ( c3_1(X42)
          | c1_1(X42)
          | c2_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp46
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c0_1(X43)
          | c1_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( c3_1(X44)
          | c2_1(X44)
          | ~ c1_1(X44)
          | ~ ndr1_0 ) )
    & ( ! [X45] :
          ( c1_1(X45)
          | ~ c2_1(X45)
          | ~ c3_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( c1_1(X46)
          | c0_1(X46)
          | ~ c3_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( c0_1(X47)
          | c1_1(X47)
          | c3_1(X47)
          | ~ ndr1_0 ) )
    & ( ! [X48] :
          ( ~ c0_1(X48)
          | c1_1(X48)
          | ~ c2_1(X48)
          | ~ ndr1_0 )
      | hskp15
      | hskp14 )
    & ( hskp45
      | ! [X49] :
          ( ~ c1_1(X49)
          | c3_1(X49)
          | c2_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c3_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( ! [X51] :
          ( ~ c1_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 )
      | hskp13
      | hskp44 )
    & ( ! [X52] :
          ( c2_1(X52)
          | ~ c1_1(X52)
          | ~ c3_1(X52)
          | ~ ndr1_0 )
      | hskp12
      | hskp43 )
    & ( ! [X53] :
          ( ~ c2_1(X53)
          | ~ c0_1(X53)
          | ~ c3_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c0_1(X54)
          | c3_1(X54)
          | ~ c2_1(X54)
          | ~ ndr1_0 )
      | ! [X55] :
          ( ~ c1_1(X55)
          | ~ c0_1(X55)
          | ~ c2_1(X55)
          | ~ ndr1_0 ) )
    & ( ! [X56] :
          ( c1_1(X56)
          | ~ c3_1(X56)
          | ~ c2_1(X56)
          | ~ ndr1_0 )
      | ! [X57] :
          ( c0_1(X57)
          | c1_1(X57)
          | ~ c2_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( c0_1(X58)
          | ~ c1_1(X58)
          | ~ c2_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c2_1(X59)
          | ~ c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( c1_1(X60)
          | ~ c0_1(X60)
          | ~ c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c3_1(X61)
          | c2_1(X61)
          | c1_1(X61)
          | ~ ndr1_0 ) )
    & ( ! [X62] :
          ( c1_1(X62)
          | c2_1(X62)
          | ~ c0_1(X62)
          | ~ ndr1_0 )
      | ! [X63] :
          ( ~ c3_1(X63)
          | c1_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 )
      | hskp42 )
    & ( ! [X64] :
          ( c2_1(X64)
          | ~ c3_1(X64)
          | ~ c1_1(X64)
          | ~ ndr1_0 )
      | hskp41
      | ! [X65] :
          ( c2_1(X65)
          | ~ c0_1(X65)
          | ~ c1_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( c0_1(X66)
          | ~ c2_1(X66)
          | ~ c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c0_1(X67)
          | c2_1(X67)
          | ~ c3_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( c0_1(X68)
          | c2_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( c3_1(X69)
          | c1_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | hskp11
      | ! [X70] :
          ( ~ c2_1(X70)
          | ~ c1_1(X70)
          | ~ c3_1(X70)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp40
      | ! [X71] :
          ( c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( c2_1(X72)
          | c0_1(X72)
          | c3_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c0_1(X73)
          | c1_1(X73)
          | ~ c3_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c0_1(X74)
          | ~ c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X75] :
          ( c3_1(X75)
          | c1_1(X75)
          | c2_1(X75)
          | ~ ndr1_0 )
      | hskp8 )
    & ( hskp39
      | hskp7
      | ! [X76] :
          ( ~ c0_1(X76)
          | ~ c1_1(X76)
          | c2_1(X76)
          | ~ ndr1_0 ) )
    & ( ! [X77] :
          ( ~ c3_1(X77)
          | ~ c0_1(X77)
          | ~ c1_1(X77)
          | ~ ndr1_0 )
      | hskp6
      | ! [X78] :
          ( ~ c0_1(X78)
          | ~ c3_1(X78)
          | ~ c1_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( c0_1(X79)
          | ~ c1_1(X79)
          | ~ c3_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( c0_1(X80)
          | c1_1(X80)
          | c2_1(X80)
          | ~ ndr1_0 )
      | hskp38 )
    & ( ! [X81] :
          ( c2_1(X81)
          | c1_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 )
      | ! [X82] :
          ( c3_1(X82)
          | c1_1(X82)
          | ~ c2_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c1_1(X83)
          | c0_1(X83)
          | ~ c2_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp37
      | ! [X84] :
          ( ~ c3_1(X84)
          | ~ c2_1(X84)
          | ~ c0_1(X84)
          | ~ ndr1_0 )
      | hskp5 )
    & ( hskp36
      | hskp4
      | hskp3 )
    & ( ! [X85] :
          ( ~ c3_1(X85)
          | c2_1(X85)
          | ~ c0_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c2_1(X86)
          | ~ c0_1(X86)
          | ~ ndr1_0 )
      | hskp35 )
    & ( ! [X87] :
          ( ~ c2_1(X87)
          | ~ c1_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c2_1(X88)
          | c3_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 )
      | ! [X89] :
          ( ~ c2_1(X89)
          | c0_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 ) )
    & ( ! [X90] :
          ( ~ c2_1(X90)
          | c1_1(X90)
          | ~ c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c2_1(X91)
          | ~ c3_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( c1_1(X92)
          | ~ c0_1(X92)
          | c2_1(X92)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp34
      | hskp33 )
    & ( hskp1
      | ! [X93] :
          ( c1_1(X93)
          | ~ c3_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 )
      | hskp0 )
    & ( ! [X94] :
          ( c3_1(X94)
          | ~ c2_1(X94)
          | ~ c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c0_1(X95)
          | ~ c2_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c0_1(X96)
          | ~ c3_1(X96)
          | c2_1(X96)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a675)
        & ~ c2_1(a675)
        & c1_1(a675)
        & ndr1_0 )
      | ~ hskp66 )
    & ( ( c0_1(a674)
        & ~ c1_1(a674)
        & c2_1(a674)
        & ndr1_0 )
      | ~ hskp65 )
    & ( ( c1_1(a673)
        & ~ c0_1(a673)
        & c3_1(a673)
        & ndr1_0 )
      | ~ hskp64 )
    & ( ( c3_1(a672)
        & ~ c2_1(a672)
        & ~ c0_1(a672)
        & ndr1_0 )
      | ~ hskp63 )
    & ( ( c0_1(a671)
        & c3_1(a671)
        & ~ c1_1(a671)
        & ndr1_0 )
      | ~ hskp62 )
    & ( ( c2_1(a670)
        & ~ c0_1(a670)
        & ~ c1_1(a670)
        & ndr1_0 )
      | ~ hskp61 )
    & ( ( c1_1(a669)
        & ~ c2_1(a669)
        & c0_1(a669)
        & ndr1_0 )
      | ~ hskp60 )
    & ( ( c3_1(a665)
        & c2_1(a665)
        & ~ c0_1(a665)
        & ndr1_0 )
      | ~ hskp59 )
    & ( ( c3_1(a663)
        & ~ c1_1(a663)
        & ~ c0_1(a663)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c2_1(a662)
        & c1_1(a662)
        & ~ c0_1(a662)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c3_1(a658)
        & c2_1(a658)
        & ~ c1_1(a658)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c1_1(a653)
        & c3_1(a653)
        & ~ c2_1(a653)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c2_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c0_1(a648)
        & ~ c2_1(a648)
        & c3_1(a648)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c0_1(a647)
        & ~ c1_1(a647)
        & ~ c2_1(a647)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c0_1(a644)
        & ~ c3_1(a644)
        & c2_1(a644)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c0_1(a640)
        & c1_1(a640)
        & ~ c3_1(a640)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c1_1(a639)
        & ~ c0_1(a639)
        & ~ c2_1(a639)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c2_1(a638)
        & c1_1(a638)
        & ~ c3_1(a638)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c3_1(a636)
        & ~ c0_1(a636)
        & ~ c1_1(a636)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c3_1(a626)
        & c0_1(a626)
        & c1_1(a626)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c2_1(a623)
        & c3_1(a623)
        & ~ c0_1(a623)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c3_1(a621)
        & ~ c0_1(a621)
        & c2_1(a621)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a619)
        & ~ c1_1(a619)
        & ~ c3_1(a619)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c1_1(a618)
        & ~ c3_1(a618)
        & ~ c2_1(a618)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( c3_1(a617)
        & ~ c1_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( c0_1(a614)
        & c1_1(a614)
        & c2_1(a614)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( c2_1(a611)
        & c3_1(a611)
        & ~ c1_1(a611)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( c0_1(a608)
        & c3_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( c0_1(a607)
        & ~ c2_1(a607)
        & c1_1(a607)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( c0_1(a605)
        & ~ c3_1(a605)
        & c1_1(a605)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( c2_1(a602)
        & ~ c1_1(a602)
        & ~ c3_1(a602)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( c0_1(a600)
        & c2_1(a600)
        & ~ c3_1(a600)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( c3_1(a599)
        & c0_1(a599)
        & ~ c2_1(a599)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( ~ c2_1(a677)
        & ~ c3_1(a677)
        & c0_1(a677)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( ~ c0_1(a667)
        & c1_1(a667)
        & ~ c2_1(a667)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( ~ c3_1(a666)
        & c0_1(a666)
        & ~ c2_1(a666)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( ~ c0_1(a660)
        & ~ c3_1(a660)
        & ~ c1_1(a660)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( ~ c0_1(a656)
        & c1_1(a656)
        & ~ c3_1(a656)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a654)
        & ~ c0_1(a654)
        & ~ c3_1(a654)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & ~ c1_1(a652)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a646)
        & ~ c2_1(a646)
        & c3_1(a646)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a643)
        & c3_1(a643)
        & ~ c0_1(a643)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a642)
        & c3_1(a642)
        & c2_1(a642)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a641)
        & ~ c1_1(a641)
        & c0_1(a641)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a637)
        & c0_1(a637)
        & c1_1(a637)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a635)
        & ~ c2_1(a635)
        & ~ c1_1(a635)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a634)
        & ~ c0_1(a634)
        & ~ c1_1(a634)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a632)
        & c3_1(a632)
        & c0_1(a632)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a628)
        & ~ c2_1(a628)
        & c3_1(a628)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a627)
        & c0_1(a627)
        & c2_1(a627)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a625)
        & ~ c1_1(a625)
        & ~ c2_1(a625)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a624)
        & ~ c1_1(a624)
        & c3_1(a624)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a622)
        & ~ c2_1(a622)
        & ~ c1_1(a622)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a620)
        & ~ c3_1(a620)
        & ~ c0_1(a620)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a616)
        & c1_1(a616)
        & c0_1(a616)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a615)
        & c3_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a613)
        & c2_1(a613)
        & c1_1(a613)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a612)
        & c3_1(a612)
        & ~ c2_1(a612)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a610)
        & ~ c2_1(a610)
        & c1_1(a610)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a609)
        & ~ c0_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a606)
        & c2_1(a606)
        & ~ c0_1(a606)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a604)
        & ~ c0_1(a604)
        & ~ c2_1(a604)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a601)
        & ~ c2_1(a601)
        & c0_1(a601)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a598)
        & c2_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a597)
        & ~ c3_1(a597)
        & c0_1(a597)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c0_1(X0)
            | c1_1(X0) ) )
      | hskp30
      | hskp32 )
    & ( ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | c0_1(X1)
            | c1_1(X1) ) )
      | hskp55
      | ! [X2] :
          ( ndr1_0
         => ( c1_1(X2)
            | ~ c0_1(X2)
            | ~ c3_1(X2) ) ) )
    & ( hskp66
      | hskp65
      | hskp64 )
    & ( ! [X3] :
          ( ndr1_0
         => ( c2_1(X3)
            | c3_1(X3)
            | c1_1(X3) ) )
      | hskp63
      | hskp62 )
    & ( hskp61
      | hskp60
      | hskp33 )
    & ( ! [X4] :
          ( ndr1_0
         => ( ~ c0_1(X4)
            | c1_1(X4)
            | ~ c2_1(X4) ) )
      | hskp31
      | ! [X5] :
          ( ndr1_0
         => ( c0_1(X5)
            | ~ c1_1(X5)
            | ~ c2_1(X5) ) ) )
    & ( hskp30
      | hskp59 )
    & ( hskp41
      | hskp58
      | ! [X6] :
          ( ndr1_0
         => ( ~ c0_1(X6)
            | ~ c3_1(X6)
            | c2_1(X6) ) ) )
    & ( ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) )
      | ! [X8] :
          ( ndr1_0
         => ( ~ c0_1(X8)
            | ~ c3_1(X8)
            | c1_1(X8) ) )
      | hskp57 )
    & ( ! [X9] :
          ( ndr1_0
         => ( c1_1(X9)
            | c0_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( c1_1(X10)
            | c0_1(X10)
            | ~ c3_1(X10) ) )
      | hskp42 )
    & ( hskp29
      | hskp3
      | ! [X11] :
          ( ndr1_0
         => ( ~ c3_1(X11)
            | c2_1(X11)
            | c0_1(X11) ) ) )
    & ( ! [X12] :
          ( ndr1_0
         => ( c3_1(X12)
            | ~ c1_1(X12)
            | c2_1(X12) ) )
      | hskp56
      | ! [X13] :
          ( ndr1_0
         => ( ~ c3_1(X13)
            | c1_1(X13)
            | c2_1(X13) ) ) )
    & ( ! [X14] :
          ( ndr1_0
         => ( c0_1(X14)
            | c3_1(X14)
            | ~ c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( c1_1(X15)
            | ~ c3_1(X15)
            | c2_1(X15) ) )
      | hskp55 )
    & ( hskp28
      | hskp40
      | hskp27 )
    & ( ! [X16] :
          ( ndr1_0
         => ( c2_1(X16)
            | ~ c0_1(X16)
            | c1_1(X16) ) )
      | hskp55
      | hskp26 )
    & ( ! [X17] :
          ( ndr1_0
         => ( c0_1(X17)
            | ~ c2_1(X17)
            | c3_1(X17) ) )
      | hskp54
      | hskp37 )
    & ( ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | c1_1(X18)
            | c0_1(X18) ) )
      | hskp17
      | hskp53 )
    & ( hskp52
      | ! [X19] :
          ( ndr1_0
         => ( ~ c0_1(X19)
            | c2_1(X19)
            | c3_1(X19) ) )
      | hskp25 )
    & ( hskp5
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | c1_1(X20)
            | c2_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( c2_1(X21)
            | ~ c1_1(X21)
            | ~ c0_1(X21) ) ) )
    & ( ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | c0_1(X22)
            | ~ c1_1(X22) ) )
      | hskp51
      | ! [X23] :
          ( ndr1_0
         => ( c3_1(X23)
            | c0_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp24
      | hskp23
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c2_1(X24)
            | c1_1(X24) ) ) )
    & ( hskp22
      | hskp50
      | ! [X25] :
          ( ndr1_0
         => ( c1_1(X25)
            | c2_1(X25)
            | c3_1(X25) ) ) )
    & ( hskp49
      | ! [X26] :
          ( ndr1_0
         => ( ~ c0_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) )
      | hskp48 )
    & ( ! [X27] :
          ( ndr1_0
         => ( c2_1(X27)
            | c0_1(X27)
            | c3_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( c0_1(X28)
            | c1_1(X28)
            | c3_1(X28) ) )
      | ! [X29] :
          ( ndr1_0
         => ( c3_1(X29)
            | c0_1(X29)
            | c2_1(X29) ) ) )
    & ( hskp21
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) )
      | hskp47 )
    & ( hskp20
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c2_1(X31)
            | c3_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c1_1(X32)
            | ~ c2_1(X32) ) ) )
    & ( hskp19
      | hskp9
      | hskp18 )
    & ( ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | ~ c2_1(X33)
            | c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c1_1(X34)
            | ~ c2_1(X34)
            | ~ c3_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c1_1(X35) ) ) )
    & ( ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c3_1(X36)
            | ~ c2_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c0_1(X37)
            | c2_1(X37)
            | ~ c3_1(X37) ) )
      | hskp16 )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c1_1(X38)
            | ~ c0_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c2_1(X39)
            | c1_1(X39)
            | ~ c0_1(X39) ) )
      | hskp36 )
    & ( hskp9
      | hskp17
      | hskp16 )
    & ( ! [X40] :
          ( ndr1_0
         => ( c0_1(X40)
            | c3_1(X40)
            | ~ c2_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( c1_1(X41)
            | c3_1(X41)
            | c2_1(X41) ) )
      | ! [X42] :
          ( ndr1_0
         => ( c3_1(X42)
            | c1_1(X42)
            | c2_1(X42) ) ) )
    & ( hskp46
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c0_1(X43)
            | c1_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( c3_1(X44)
            | c2_1(X44)
            | ~ c1_1(X44) ) ) )
    & ( ! [X45] :
          ( ndr1_0
         => ( c1_1(X45)
            | ~ c2_1(X45)
            | ~ c3_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( c1_1(X46)
            | c0_1(X46)
            | ~ c3_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( c0_1(X47)
            | c1_1(X47)
            | c3_1(X47) ) ) )
    & ( ! [X48] :
          ( ndr1_0
         => ( ~ c0_1(X48)
            | c1_1(X48)
            | ~ c2_1(X48) ) )
      | hskp15
      | hskp14 )
    & ( hskp45
      | ! [X49] :
          ( ndr1_0
         => ( ~ c1_1(X49)
            | c3_1(X49)
            | c2_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c3_1(X50)
            | c0_1(X50) ) ) )
    & ( ! [X51] :
          ( ndr1_0
         => ( ~ c1_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) )
      | hskp13
      | hskp44 )
    & ( ! [X52] :
          ( ndr1_0
         => ( c2_1(X52)
            | ~ c1_1(X52)
            | ~ c3_1(X52) ) )
      | hskp12
      | hskp43 )
    & ( ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | ~ c0_1(X53)
            | ~ c3_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c0_1(X54)
            | c3_1(X54)
            | ~ c2_1(X54) ) )
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | ~ c0_1(X55)
            | ~ c2_1(X55) ) ) )
    & ( ! [X56] :
          ( ndr1_0
         => ( c1_1(X56)
            | ~ c3_1(X56)
            | ~ c2_1(X56) ) )
      | ! [X57] :
          ( ndr1_0
         => ( c0_1(X57)
            | c1_1(X57)
            | ~ c2_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( c0_1(X58)
            | ~ c1_1(X58)
            | ~ c2_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | ~ c3_1(X59)
            | c0_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( c1_1(X60)
            | ~ c0_1(X60)
            | ~ c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c3_1(X61)
            | c2_1(X61)
            | c1_1(X61) ) ) )
    & ( ! [X62] :
          ( ndr1_0
         => ( c1_1(X62)
            | c2_1(X62)
            | ~ c0_1(X62) ) )
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c1_1(X63)
            | c0_1(X63) ) )
      | hskp42 )
    & ( ! [X64] :
          ( ndr1_0
         => ( c2_1(X64)
            | ~ c3_1(X64)
            | ~ c1_1(X64) ) )
      | hskp41
      | ! [X65] :
          ( ndr1_0
         => ( c2_1(X65)
            | ~ c0_1(X65)
            | ~ c1_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( c0_1(X66)
            | ~ c2_1(X66)
            | ~ c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c0_1(X67)
            | c2_1(X67)
            | ~ c3_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( c0_1(X68)
            | c2_1(X68)
            | c3_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( c3_1(X69)
            | c1_1(X69)
            | c2_1(X69) ) )
      | hskp11
      | ! [X70] :
          ( ndr1_0
         => ( ~ c2_1(X70)
            | ~ c1_1(X70)
            | ~ c3_1(X70) ) ) )
    & ( hskp10
      | hskp40
      | ! [X71] :
          ( ndr1_0
         => ( c2_1(X71)
            | ~ c1_1(X71)
            | c3_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( c2_1(X72)
            | c0_1(X72)
            | c3_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c0_1(X73)
            | c1_1(X73)
            | ~ c3_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | ~ c3_1(X74)
            | c2_1(X74) ) ) )
    & ( hskp9
      | ! [X75] :
          ( ndr1_0
         => ( c3_1(X75)
            | c1_1(X75)
            | c2_1(X75) ) )
      | hskp8 )
    & ( hskp39
      | hskp7
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | ~ c1_1(X76)
            | c2_1(X76) ) ) )
    & ( ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | ~ c0_1(X77)
            | ~ c1_1(X77) ) )
      | hskp6
      | ! [X78] :
          ( ndr1_0
         => ( ~ c0_1(X78)
            | ~ c3_1(X78)
            | ~ c1_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( c0_1(X79)
            | ~ c1_1(X79)
            | ~ c3_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( c0_1(X80)
            | c1_1(X80)
            | c2_1(X80) ) )
      | hskp38 )
    & ( ! [X81] :
          ( ndr1_0
         => ( c2_1(X81)
            | c1_1(X81)
            | c0_1(X81) ) )
      | ! [X82] :
          ( ndr1_0
         => ( c3_1(X82)
            | c1_1(X82)
            | ~ c2_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c1_1(X83)
            | c0_1(X83)
            | ~ c2_1(X83) ) ) )
    & ( hskp37
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | ~ c2_1(X84)
            | ~ c0_1(X84) ) )
      | hskp5 )
    & ( hskp36
      | hskp4
      | hskp3 )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c3_1(X85)
            | c2_1(X85)
            | ~ c0_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c2_1(X86)
            | ~ c0_1(X86) ) )
      | hskp35 )
    & ( ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c1_1(X87)
            | c0_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c2_1(X88)
            | c3_1(X88)
            | c0_1(X88) ) )
      | ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | c0_1(X89)
            | ~ c1_1(X89) ) ) )
    & ( ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | c1_1(X90)
            | ~ c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c2_1(X91)
            | ~ c3_1(X91)
            | c0_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( c1_1(X92)
            | ~ c0_1(X92)
            | c2_1(X92) ) ) )
    & ( hskp2
      | hskp34
      | hskp33 )
    & ( hskp1
      | ! [X93] :
          ( ndr1_0
         => ( c1_1(X93)
            | ~ c3_1(X93)
            | c0_1(X93) ) )
      | hskp0 )
    & ( ! [X94] :
          ( ndr1_0
         => ( c3_1(X94)
            | ~ c2_1(X94)
            | ~ c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c0_1(X95)
            | ~ c2_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c0_1(X96)
            | ~ c3_1(X96)
            | c2_1(X96) ) ) )
    & ( ( c3_1(a675)
        & ~ c2_1(a675)
        & c1_1(a675)
        & ndr1_0 )
      | ~ hskp66 )
    & ( ( c0_1(a674)
        & ~ c1_1(a674)
        & c2_1(a674)
        & ndr1_0 )
      | ~ hskp65 )
    & ( ( c1_1(a673)
        & ~ c0_1(a673)
        & c3_1(a673)
        & ndr1_0 )
      | ~ hskp64 )
    & ( ( c3_1(a672)
        & ~ c2_1(a672)
        & ~ c0_1(a672)
        & ndr1_0 )
      | ~ hskp63 )
    & ( ( c0_1(a671)
        & c3_1(a671)
        & ~ c1_1(a671)
        & ndr1_0 )
      | ~ hskp62 )
    & ( ( c2_1(a670)
        & ~ c0_1(a670)
        & ~ c1_1(a670)
        & ndr1_0 )
      | ~ hskp61 )
    & ( ( c1_1(a669)
        & ~ c2_1(a669)
        & c0_1(a669)
        & ndr1_0 )
      | ~ hskp60 )
    & ( ( c3_1(a665)
        & c2_1(a665)
        & ~ c0_1(a665)
        & ndr1_0 )
      | ~ hskp59 )
    & ( ( c3_1(a663)
        & ~ c1_1(a663)
        & ~ c0_1(a663)
        & ndr1_0 )
      | ~ hskp58 )
    & ( ( c2_1(a662)
        & c1_1(a662)
        & ~ c0_1(a662)
        & ndr1_0 )
      | ~ hskp57 )
    & ( ( c3_1(a658)
        & c2_1(a658)
        & ~ c1_1(a658)
        & ndr1_0 )
      | ~ hskp56 )
    & ( ( c1_1(a653)
        & c3_1(a653)
        & ~ c2_1(a653)
        & ndr1_0 )
      | ~ hskp55 )
    & ( ( c2_1(a651)
        & ~ c0_1(a651)
        & c3_1(a651)
        & ndr1_0 )
      | ~ hskp54 )
    & ( ( c0_1(a648)
        & ~ c2_1(a648)
        & c3_1(a648)
        & ndr1_0 )
      | ~ hskp53 )
    & ( ( c0_1(a647)
        & ~ c1_1(a647)
        & ~ c2_1(a647)
        & ndr1_0 )
      | ~ hskp52 )
    & ( ( c0_1(a644)
        & ~ c3_1(a644)
        & c2_1(a644)
        & ndr1_0 )
      | ~ hskp51 )
    & ( ( c0_1(a640)
        & c1_1(a640)
        & ~ c3_1(a640)
        & ndr1_0 )
      | ~ hskp50 )
    & ( ( c1_1(a639)
        & ~ c0_1(a639)
        & ~ c2_1(a639)
        & ndr1_0 )
      | ~ hskp49 )
    & ( ( c2_1(a638)
        & c1_1(a638)
        & ~ c3_1(a638)
        & ndr1_0 )
      | ~ hskp48 )
    & ( ( c3_1(a636)
        & ~ c0_1(a636)
        & ~ c1_1(a636)
        & ndr1_0 )
      | ~ hskp47 )
    & ( ( c3_1(a626)
        & c0_1(a626)
        & c1_1(a626)
        & ndr1_0 )
      | ~ hskp46 )
    & ( ( c2_1(a623)
        & c3_1(a623)
        & ~ c0_1(a623)
        & ndr1_0 )
      | ~ hskp45 )
    & ( ( c3_1(a621)
        & ~ c0_1(a621)
        & c2_1(a621)
        & ndr1_0 )
      | ~ hskp44 )
    & ( ( c0_1(a619)
        & ~ c1_1(a619)
        & ~ c3_1(a619)
        & ndr1_0 )
      | ~ hskp43 )
    & ( ( c1_1(a618)
        & ~ c3_1(a618)
        & ~ c2_1(a618)
        & ndr1_0 )
      | ~ hskp42 )
    & ( ( c3_1(a617)
        & ~ c1_1(a617)
        & c2_1(a617)
        & ndr1_0 )
      | ~ hskp41 )
    & ( ( c0_1(a614)
        & c1_1(a614)
        & c2_1(a614)
        & ndr1_0 )
      | ~ hskp40 )
    & ( ( c2_1(a611)
        & c3_1(a611)
        & ~ c1_1(a611)
        & ndr1_0 )
      | ~ hskp39 )
    & ( ( c0_1(a608)
        & c3_1(a608)
        & c1_1(a608)
        & ndr1_0 )
      | ~ hskp38 )
    & ( ( c0_1(a607)
        & ~ c2_1(a607)
        & c1_1(a607)
        & ndr1_0 )
      | ~ hskp37 )
    & ( ( c0_1(a605)
        & ~ c3_1(a605)
        & c1_1(a605)
        & ndr1_0 )
      | ~ hskp36 )
    & ( ( c2_1(a602)
        & ~ c1_1(a602)
        & ~ c3_1(a602)
        & ndr1_0 )
      | ~ hskp35 )
    & ( ( c0_1(a600)
        & c2_1(a600)
        & ~ c3_1(a600)
        & ndr1_0 )
      | ~ hskp34 )
    & ( ( c3_1(a599)
        & c0_1(a599)
        & ~ c2_1(a599)
        & ndr1_0 )
      | ~ hskp33 )
    & ( ( ~ c2_1(a677)
        & ~ c3_1(a677)
        & c0_1(a677)
        & ndr1_0 )
      | ~ hskp32 )
    & ( ( ~ c0_1(a667)
        & c1_1(a667)
        & ~ c2_1(a667)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( ~ c3_1(a666)
        & c0_1(a666)
        & ~ c2_1(a666)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( ~ c0_1(a660)
        & ~ c3_1(a660)
        & ~ c1_1(a660)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( ~ c0_1(a656)
        & c1_1(a656)
        & ~ c3_1(a656)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c1_1(a654)
        & ~ c0_1(a654)
        & ~ c3_1(a654)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a652)
        & c3_1(a652)
        & ~ c1_1(a652)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c0_1(a646)
        & ~ c2_1(a646)
        & c3_1(a646)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c1_1(a643)
        & c3_1(a643)
        & ~ c0_1(a643)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c0_1(a642)
        & c3_1(a642)
        & c2_1(a642)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c2_1(a641)
        & ~ c1_1(a641)
        & c0_1(a641)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a637)
        & c0_1(a637)
        & c1_1(a637)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a635)
        & ~ c2_1(a635)
        & ~ c1_1(a635)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a634)
        & ~ c0_1(a634)
        & ~ c1_1(a634)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a632)
        & c3_1(a632)
        & c0_1(a632)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a628)
        & ~ c2_1(a628)
        & c3_1(a628)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a627)
        & c0_1(a627)
        & c2_1(a627)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c0_1(a625)
        & ~ c1_1(a625)
        & ~ c2_1(a625)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a624)
        & ~ c1_1(a624)
        & c3_1(a624)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c0_1(a622)
        & ~ c2_1(a622)
        & ~ c1_1(a622)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a620)
        & ~ c3_1(a620)
        & ~ c0_1(a620)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a616)
        & c1_1(a616)
        & c0_1(a616)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a615)
        & c3_1(a615)
        & c0_1(a615)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a613)
        & c2_1(a613)
        & c1_1(a613)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c1_1(a612)
        & c3_1(a612)
        & ~ c2_1(a612)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a610)
        & ~ c2_1(a610)
        & c1_1(a610)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a609)
        & ~ c0_1(a609)
        & c2_1(a609)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a606)
        & c2_1(a606)
        & ~ c0_1(a606)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a604)
        & ~ c0_1(a604)
        & ~ c2_1(a604)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a603)
        & ~ c1_1(a603)
        & c0_1(a603)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a601)
        & ~ c2_1(a601)
        & c0_1(a601)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c1_1(a598)
        & c2_1(a598)
        & c0_1(a598)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a597)
        & ~ c3_1(a597)
        & c0_1(a597)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c0_1(X0)
                | c1_1(X0) ) )
          | hskp30
          | hskp32 )
        & ( ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c0_1(X1)
                | c1_1(X1) ) )
          | hskp55
          | ! [X2] :
              ( ndr1_0
             => ( c1_1(X2)
                | ~ c0_1(X2)
                | ~ c3_1(X2) ) ) )
        & ( hskp66
          | hskp65
          | hskp64 )
        & ( ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c3_1(X3)
                | c1_1(X3) ) )
          | hskp63
          | hskp62 )
        & ( hskp61
          | hskp60
          | hskp33 )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c0_1(X4)
                | c1_1(X4)
                | ~ c2_1(X4) ) )
          | hskp31
          | ! [X5] :
              ( ndr1_0
             => ( c0_1(X5)
                | ~ c1_1(X5)
                | ~ c2_1(X5) ) ) )
        & ( hskp30
          | hskp59 )
        & ( hskp41
          | hskp58
          | ! [X6] :
              ( ndr1_0
             => ( ~ c0_1(X6)
                | ~ c3_1(X6)
                | c2_1(X6) ) ) )
        & ( ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c0_1(X8)
                | ~ c3_1(X8)
                | c1_1(X8) ) )
          | hskp57 )
        & ( ! [X9] :
              ( ndr1_0
             => ( c1_1(X9)
                | c0_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c1_1(X10)
                | c0_1(X10)
                | ~ c3_1(X10) ) )
          | hskp42 )
        & ( hskp29
          | hskp3
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c2_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | ~ c1_1(X12)
                | c2_1(X12) ) )
          | hskp56
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c2_1(X13) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( c0_1(X14)
                | c3_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( c1_1(X15)
                | ~ c3_1(X15)
                | c2_1(X15) ) )
          | hskp55 )
        & ( hskp28
          | hskp40
          | hskp27 )
        & ( ! [X16] :
              ( ndr1_0
             => ( c2_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) )
          | hskp55
          | hskp26 )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c2_1(X17)
                | c3_1(X17) ) )
          | hskp54
          | hskp37 )
        & ( ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) )
          | hskp17
          | hskp53 )
        & ( hskp52
          | ! [X19] :
              ( ndr1_0
             => ( ~ c0_1(X19)
                | c2_1(X19)
                | c3_1(X19) ) )
          | hskp25 )
        & ( hskp5
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c2_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( c2_1(X21)
                | ~ c1_1(X21)
                | ~ c0_1(X21) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c0_1(X22)
                | ~ c1_1(X22) ) )
          | hskp51
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c0_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp24
          | hskp23
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c2_1(X24)
                | c1_1(X24) ) ) )
        & ( hskp22
          | hskp50
          | ! [X25] :
              ( ndr1_0
             => ( c1_1(X25)
                | c2_1(X25)
                | c3_1(X25) ) ) )
        & ( hskp49
          | ! [X26] :
              ( ndr1_0
             => ( ~ c0_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) )
          | hskp48 )
        & ( ! [X27] :
              ( ndr1_0
             => ( c2_1(X27)
                | c0_1(X27)
                | c3_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c1_1(X28)
                | c3_1(X28) ) )
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c0_1(X29)
                | c2_1(X29) ) ) )
        & ( hskp21
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) )
          | hskp47 )
        & ( hskp20
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | c3_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c1_1(X32)
                | ~ c2_1(X32) ) ) )
        & ( hskp19
          | hskp9
          | hskp18 )
        & ( ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | ~ c2_1(X33)
                | c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c1_1(X34)
                | ~ c2_1(X34)
                | ~ c3_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c1_1(X35) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c3_1(X36)
                | ~ c2_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c0_1(X37)
                | c2_1(X37)
                | ~ c3_1(X37) ) )
          | hskp16 )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | ~ c0_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c2_1(X39)
                | c1_1(X39)
                | ~ c0_1(X39) ) )
          | hskp36 )
        & ( hskp9
          | hskp17
          | hskp16 )
        & ( ! [X40] :
              ( ndr1_0
             => ( c0_1(X40)
                | c3_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c1_1(X41)
                | c3_1(X41)
                | c2_1(X41) ) )
          | ! [X42] :
              ( ndr1_0
             => ( c3_1(X42)
                | c1_1(X42)
                | c2_1(X42) ) ) )
        & ( hskp46
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c0_1(X43)
                | c1_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( c3_1(X44)
                | c2_1(X44)
                | ~ c1_1(X44) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( c1_1(X45)
                | ~ c2_1(X45)
                | ~ c3_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( c1_1(X46)
                | c0_1(X46)
                | ~ c3_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( c0_1(X47)
                | c1_1(X47)
                | c3_1(X47) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c1_1(X48)
                | ~ c2_1(X48) ) )
          | hskp15
          | hskp14 )
        & ( hskp45
          | ! [X49] :
              ( ndr1_0
             => ( ~ c1_1(X49)
                | c3_1(X49)
                | c2_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c3_1(X50)
                | c0_1(X50) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) )
          | hskp13
          | hskp44 )
        & ( ! [X52] :
              ( ndr1_0
             => ( c2_1(X52)
                | ~ c1_1(X52)
                | ~ c3_1(X52) ) )
          | hskp12
          | hskp43 )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | ~ c0_1(X53)
                | ~ c3_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c0_1(X54)
                | c3_1(X54)
                | ~ c2_1(X54) ) )
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | ~ c0_1(X55)
                | ~ c2_1(X55) ) ) )
        & ( ! [X56] :
              ( ndr1_0
             => ( c1_1(X56)
                | ~ c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c0_1(X57)
                | c1_1(X57)
                | ~ c2_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( c0_1(X58)
                | ~ c1_1(X58)
                | ~ c2_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | ~ c3_1(X59)
                | c0_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( c1_1(X60)
                | ~ c0_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | c2_1(X61)
                | c1_1(X61) ) ) )
        & ( ! [X62] :
              ( ndr1_0
             => ( c1_1(X62)
                | c2_1(X62)
                | ~ c0_1(X62) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c1_1(X63)
                | c0_1(X63) ) )
          | hskp42 )
        & ( ! [X64] :
              ( ndr1_0
             => ( c2_1(X64)
                | ~ c3_1(X64)
                | ~ c1_1(X64) ) )
          | hskp41
          | ! [X65] :
              ( ndr1_0
             => ( c2_1(X65)
                | ~ c0_1(X65)
                | ~ c1_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( c0_1(X66)
                | ~ c2_1(X66)
                | ~ c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c2_1(X67)
                | ~ c3_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c2_1(X68)
                | c3_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( c3_1(X69)
                | c1_1(X69)
                | c2_1(X69) ) )
          | hskp11
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | ~ c3_1(X70) ) ) )
        & ( hskp10
          | hskp40
          | ! [X71] :
              ( ndr1_0
             => ( c2_1(X71)
                | ~ c1_1(X71)
                | c3_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( c2_1(X72)
                | c0_1(X72)
                | c3_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c0_1(X73)
                | c1_1(X73)
                | ~ c3_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | ~ c3_1(X74)
                | c2_1(X74) ) ) )
        & ( hskp9
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c1_1(X75)
                | c2_1(X75) ) )
          | hskp8 )
        & ( hskp39
          | hskp7
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | ~ c0_1(X77)
                | ~ c1_1(X77) ) )
          | hskp6
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | ~ c3_1(X78)
                | ~ c1_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c1_1(X79)
                | ~ c3_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( c0_1(X80)
                | c1_1(X80)
                | c2_1(X80) ) )
          | hskp38 )
        & ( ! [X81] :
              ( ndr1_0
             => ( c2_1(X81)
                | c1_1(X81)
                | c0_1(X81) ) )
          | ! [X82] :
              ( ndr1_0
             => ( c3_1(X82)
                | c1_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c1_1(X83)
                | c0_1(X83)
                | ~ c2_1(X83) ) ) )
        & ( hskp37
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c0_1(X84) ) )
          | hskp5 )
        & ( hskp36
          | hskp4
          | hskp3 )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | ~ c0_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c2_1(X86)
                | ~ c0_1(X86) ) )
          | hskp35 )
        & ( ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c1_1(X87)
                | c0_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c2_1(X88)
                | c3_1(X88)
                | c0_1(X88) ) )
          | ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | c0_1(X89)
                | ~ c1_1(X89) ) ) )
        & ( ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c1_1(X90)
                | ~ c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | ~ c3_1(X91)
                | c0_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( c1_1(X92)
                | ~ c0_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp2
          | hskp34
          | hskp33 )
        & ( hskp1
          | ! [X93] :
              ( ndr1_0
             => ( c1_1(X93)
                | ~ c3_1(X93)
                | c0_1(X93) ) )
          | hskp0 )
        & ( ! [X94] :
              ( ndr1_0
             => ( c3_1(X94)
                | ~ c2_1(X94)
                | ~ c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c0_1(X95)
                | ~ c2_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | ~ c3_1(X96)
                | c2_1(X96) ) ) )
        & ( ( c3_1(a675)
            & ~ c2_1(a675)
            & c1_1(a675)
            & ndr1_0 )
          | ~ hskp66 )
        & ( ( c0_1(a674)
            & ~ c1_1(a674)
            & c2_1(a674)
            & ndr1_0 )
          | ~ hskp65 )
        & ( ( c1_1(a673)
            & ~ c0_1(a673)
            & c3_1(a673)
            & ndr1_0 )
          | ~ hskp64 )
        & ( ( c3_1(a672)
            & ~ c2_1(a672)
            & ~ c0_1(a672)
            & ndr1_0 )
          | ~ hskp63 )
        & ( ( c0_1(a671)
            & c3_1(a671)
            & ~ c1_1(a671)
            & ndr1_0 )
          | ~ hskp62 )
        & ( ( c2_1(a670)
            & ~ c0_1(a670)
            & ~ c1_1(a670)
            & ndr1_0 )
          | ~ hskp61 )
        & ( ( c1_1(a669)
            & ~ c2_1(a669)
            & c0_1(a669)
            & ndr1_0 )
          | ~ hskp60 )
        & ( ( c3_1(a665)
            & c2_1(a665)
            & ~ c0_1(a665)
            & ndr1_0 )
          | ~ hskp59 )
        & ( ( c3_1(a663)
            & ~ c1_1(a663)
            & ~ c0_1(a663)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c2_1(a662)
            & c1_1(a662)
            & ~ c0_1(a662)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c3_1(a658)
            & c2_1(a658)
            & ~ c1_1(a658)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c1_1(a653)
            & c3_1(a653)
            & ~ c2_1(a653)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c2_1(a651)
            & ~ c0_1(a651)
            & c3_1(a651)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c0_1(a648)
            & ~ c2_1(a648)
            & c3_1(a648)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c0_1(a647)
            & ~ c1_1(a647)
            & ~ c2_1(a647)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c0_1(a644)
            & ~ c3_1(a644)
            & c2_1(a644)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c0_1(a640)
            & c1_1(a640)
            & ~ c3_1(a640)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c1_1(a639)
            & ~ c0_1(a639)
            & ~ c2_1(a639)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c2_1(a638)
            & c1_1(a638)
            & ~ c3_1(a638)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c3_1(a636)
            & ~ c0_1(a636)
            & ~ c1_1(a636)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c3_1(a626)
            & c0_1(a626)
            & c1_1(a626)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c2_1(a623)
            & c3_1(a623)
            & ~ c0_1(a623)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c3_1(a621)
            & ~ c0_1(a621)
            & c2_1(a621)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a619)
            & ~ c1_1(a619)
            & ~ c3_1(a619)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c1_1(a618)
            & ~ c3_1(a618)
            & ~ c2_1(a618)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( c3_1(a617)
            & ~ c1_1(a617)
            & c2_1(a617)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( c0_1(a614)
            & c1_1(a614)
            & c2_1(a614)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( c2_1(a611)
            & c3_1(a611)
            & ~ c1_1(a611)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( c0_1(a608)
            & c3_1(a608)
            & c1_1(a608)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( c0_1(a607)
            & ~ c2_1(a607)
            & c1_1(a607)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( c0_1(a605)
            & ~ c3_1(a605)
            & c1_1(a605)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( c2_1(a602)
            & ~ c1_1(a602)
            & ~ c3_1(a602)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( c0_1(a600)
            & c2_1(a600)
            & ~ c3_1(a600)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( c3_1(a599)
            & c0_1(a599)
            & ~ c2_1(a599)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( ~ c2_1(a677)
            & ~ c3_1(a677)
            & c0_1(a677)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( ~ c0_1(a667)
            & c1_1(a667)
            & ~ c2_1(a667)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( ~ c3_1(a666)
            & c0_1(a666)
            & ~ c2_1(a666)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( ~ c0_1(a660)
            & ~ c3_1(a660)
            & ~ c1_1(a660)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c0_1(a656)
            & c1_1(a656)
            & ~ c3_1(a656)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c1_1(a654)
            & ~ c0_1(a654)
            & ~ c3_1(a654)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a652)
            & c3_1(a652)
            & ~ c1_1(a652)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a646)
            & ~ c2_1(a646)
            & c3_1(a646)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a643)
            & c3_1(a643)
            & ~ c0_1(a643)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a642)
            & c3_1(a642)
            & c2_1(a642)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a641)
            & ~ c1_1(a641)
            & c0_1(a641)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a637)
            & c0_1(a637)
            & c1_1(a637)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a635)
            & ~ c2_1(a635)
            & ~ c1_1(a635)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a634)
            & ~ c0_1(a634)
            & ~ c1_1(a634)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a632)
            & c3_1(a632)
            & c0_1(a632)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a628)
            & ~ c2_1(a628)
            & c3_1(a628)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a627)
            & c0_1(a627)
            & c2_1(a627)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a625)
            & ~ c1_1(a625)
            & ~ c2_1(a625)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a624)
            & ~ c1_1(a624)
            & c3_1(a624)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a622)
            & ~ c2_1(a622)
            & ~ c1_1(a622)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a620)
            & ~ c3_1(a620)
            & ~ c0_1(a620)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a616)
            & c1_1(a616)
            & c0_1(a616)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a615)
            & c3_1(a615)
            & c0_1(a615)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a613)
            & c2_1(a613)
            & c1_1(a613)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a612)
            & c3_1(a612)
            & ~ c2_1(a612)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a610)
            & ~ c2_1(a610)
            & c1_1(a610)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a609)
            & ~ c0_1(a609)
            & c2_1(a609)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a606)
            & c2_1(a606)
            & ~ c0_1(a606)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a604)
            & ~ c0_1(a604)
            & ~ c2_1(a604)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a603)
            & ~ c1_1(a603)
            & c0_1(a603)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a601)
            & ~ c2_1(a601)
            & c0_1(a601)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a598)
            & c2_1(a598)
            & c0_1(a598)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a597)
            & ~ c3_1(a597)
            & c0_1(a597)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) )
          | hskp30
          | hskp32 )
        & ( ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c0_1(X95)
                | c1_1(X95) ) )
          | hskp55
          | ! [X94] :
              ( ndr1_0
             => ( c1_1(X94)
                | ~ c0_1(X94)
                | ~ c3_1(X94) ) ) )
        & ( hskp66
          | hskp65
          | hskp64 )
        & ( ! [X93] :
              ( ndr1_0
             => ( c2_1(X93)
                | c3_1(X93)
                | c1_1(X93) ) )
          | hskp63
          | hskp62 )
        & ( hskp61
          | hskp60
          | hskp33 )
        & ( ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c1_1(X92)
                | ~ c2_1(X92) ) )
          | hskp31
          | ! [X91] :
              ( ndr1_0
             => ( c0_1(X91)
                | ~ c1_1(X91)
                | ~ c2_1(X91) ) ) )
        & ( hskp30
          | hskp59 )
        & ( hskp41
          | hskp58
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | ~ c3_1(X90)
                | c2_1(X90) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c1_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | ~ c3_1(X88)
                | c1_1(X88) ) )
          | hskp57 )
        & ( ! [X87] :
              ( ndr1_0
             => ( c1_1(X87)
                | c0_1(X87)
                | c3_1(X87) ) )
          | ! [X86] :
              ( ndr1_0
             => ( c1_1(X86)
                | c0_1(X86)
                | ~ c3_1(X86) ) )
          | hskp42 )
        & ( hskp29
          | hskp3
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c0_1(X85) ) ) )
        & ( ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | ~ c1_1(X84)
                | c2_1(X84) ) )
          | hskp56
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c1_1(X83)
                | c2_1(X83) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( c0_1(X82)
                | c3_1(X82)
                | ~ c2_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c1_1(X81)
                | ~ c3_1(X81)
                | c2_1(X81) ) )
          | hskp55 )
        & ( hskp28
          | hskp40
          | hskp27 )
        & ( ! [X80] :
              ( ndr1_0
             => ( c2_1(X80)
                | ~ c0_1(X80)
                | c1_1(X80) ) )
          | hskp55
          | hskp26 )
        & ( ! [X79] :
              ( ndr1_0
             => ( c0_1(X79)
                | ~ c2_1(X79)
                | c3_1(X79) ) )
          | hskp54
          | hskp37 )
        & ( ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c1_1(X78)
                | c0_1(X78) ) )
          | hskp17
          | hskp53 )
        & ( hskp52
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c3_1(X77) ) )
          | hskp25 )
        & ( hskp5
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c1_1(X76)
                | c2_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c2_1(X75)
                | ~ c1_1(X75)
                | ~ c0_1(X75) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | c0_1(X74)
                | ~ c1_1(X74) ) )
          | hskp51
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c0_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp24
          | hskp23
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c1_1(X72) ) ) )
        & ( hskp22
          | hskp50
          | ! [X71] :
              ( ndr1_0
             => ( c1_1(X71)
                | c2_1(X71)
                | c3_1(X71) ) ) )
        & ( hskp49
          | ! [X70] :
              ( ndr1_0
             => ( ~ c0_1(X70)
                | c3_1(X70)
                | c1_1(X70) ) )
          | hskp48 )
        & ( ! [X69] :
              ( ndr1_0
             => ( c2_1(X69)
                | c0_1(X69)
                | c3_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( c0_1(X68)
                | c1_1(X68)
                | c3_1(X68) ) )
          | ! [X67] :
              ( ndr1_0
             => ( c3_1(X67)
                | c0_1(X67)
                | c2_1(X67) ) ) )
        & ( hskp21
          | ! [X66] :
              ( ndr1_0
             => ( ~ c0_1(X66)
                | c3_1(X66)
                | c1_1(X66) ) )
          | hskp47 )
        & ( hskp20
          | ! [X65] :
              ( ndr1_0
             => ( ~ c0_1(X65)
                | c2_1(X65)
                | c3_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | c1_1(X64)
                | ~ c2_1(X64) ) ) )
        & ( hskp19
          | hskp9
          | hskp18 )
        & ( ! [X63] :
              ( ndr1_0
             => ( ~ c0_1(X63)
                | ~ c2_1(X63)
                | c1_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | ~ c2_1(X62)
                | ~ c3_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c2_1(X61)
                | ~ c1_1(X61) ) ) )
        & ( ! [X60] :
              ( ndr1_0
             => ( ~ c0_1(X60)
                | c3_1(X60)
                | ~ c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( c0_1(X59)
                | c2_1(X59)
                | ~ c3_1(X59) ) )
          | hskp16 )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | ~ c0_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( c2_1(X57)
                | c1_1(X57)
                | ~ c0_1(X57) ) )
          | hskp36 )
        & ( hskp9
          | hskp17
          | hskp16 )
        & ( ! [X56] :
              ( ndr1_0
             => ( c0_1(X56)
                | c3_1(X56)
                | ~ c2_1(X56) ) )
          | ! [X55] :
              ( ndr1_0
             => ( c1_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( c3_1(X54)
                | c1_1(X54)
                | c2_1(X54) ) ) )
        & ( hskp46
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( c3_1(X52)
                | c2_1(X52)
                | ~ c1_1(X52) ) ) )
        & ( ! [X51] :
              ( ndr1_0
             => ( c1_1(X51)
                | ~ c2_1(X51)
                | ~ c3_1(X51) ) )
          | ! [X50] :
              ( ndr1_0
             => ( c1_1(X50)
                | c0_1(X50)
                | ~ c3_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( c0_1(X49)
                | c1_1(X49)
                | c3_1(X49) ) ) )
        & ( ! [X48] :
              ( ndr1_0
             => ( ~ c0_1(X48)
                | c1_1(X48)
                | ~ c2_1(X48) ) )
          | hskp15
          | hskp14 )
        & ( hskp45
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c2_1(X46)
                | ~ c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | ~ c2_1(X45)
                | c0_1(X45) ) )
          | hskp13
          | hskp44 )
        & ( ! [X44] :
              ( ndr1_0
             => ( c2_1(X44)
                | ~ c1_1(X44)
                | ~ c3_1(X44) ) )
          | hskp12
          | hskp43 )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c0_1(X43)
                | ~ c3_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c0_1(X42)
                | c3_1(X42)
                | ~ c2_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | ~ c2_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( c1_1(X40)
                | ~ c3_1(X40)
                | ~ c2_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c0_1(X39)
                | c1_1(X39)
                | ~ c2_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( c0_1(X38)
                | ~ c1_1(X38)
                | ~ c2_1(X38) ) ) )
        & ( ! [X37] :
              ( ndr1_0
             => ( ~ c2_1(X37)
                | ~ c3_1(X37)
                | c0_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( c1_1(X36)
                | ~ c0_1(X36)
                | ~ c2_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( ! [X34] :
              ( ndr1_0
             => ( c1_1(X34)
                | c2_1(X34)
                | ~ c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) )
          | hskp42 )
        & ( ! [X32] :
              ( ndr1_0
             => ( c2_1(X32)
                | ~ c3_1(X32)
                | ~ c1_1(X32) ) )
          | hskp41
          | ! [X31] :
              ( ndr1_0
             => ( c2_1(X31)
                | ~ c0_1(X31)
                | ~ c1_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( c0_1(X30)
                | ~ c2_1(X30)
                | ~ c1_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c0_1(X29)
                | c2_1(X29)
                | ~ c3_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( c0_1(X28)
                | c2_1(X28)
                | c3_1(X28) ) ) )
        & ( ! [X27] :
              ( ndr1_0
             => ( c3_1(X27)
                | c1_1(X27)
                | c2_1(X27) ) )
          | hskp11
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c1_1(X26)
                | ~ c3_1(X26) ) ) )
        & ( hskp10
          | hskp40
          | ! [X25] :
              ( ndr1_0
             => ( c2_1(X25)
                | ~ c1_1(X25)
                | c3_1(X25) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( c2_1(X24)
                | c0_1(X24)
                | c3_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c0_1(X23)
                | c1_1(X23)
                | ~ c3_1(X23) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c0_1(X22)
                | ~ c3_1(X22)
                | c2_1(X22) ) ) )
        & ( hskp9
          | ! [X21] :
              ( ndr1_0
             => ( c3_1(X21)
                | c1_1(X21)
                | c2_1(X21) ) )
          | hskp8 )
        & ( hskp39
          | hskp7
          | ! [X20] :
              ( ndr1_0
             => ( ~ c0_1(X20)
                | ~ c1_1(X20)
                | c2_1(X20) ) ) )
        & ( ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | ~ c1_1(X19) ) )
          | hskp6
          | ! [X18] :
              ( ndr1_0
             => ( ~ c0_1(X18)
                | ~ c3_1(X18)
                | ~ c1_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( c0_1(X17)
                | ~ c1_1(X17)
                | ~ c3_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c0_1(X16)
                | c1_1(X16)
                | c2_1(X16) ) )
          | hskp38 )
        & ( ! [X15] :
              ( ndr1_0
             => ( c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | ~ c2_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( c1_1(X13)
                | c0_1(X13)
                | ~ c2_1(X13) ) ) )
        & ( hskp37
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c2_1(X12)
                | ~ c0_1(X12) ) )
          | hskp5 )
        & ( hskp36
          | hskp4
          | hskp3 )
        & ( ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c2_1(X11)
                | ~ c0_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c2_1(X10)
                | ~ c0_1(X10) ) )
          | hskp35 )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c1_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c3_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | c0_1(X7)
                | ~ c1_1(X7) ) ) )
        & ( ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | c1_1(X6)
                | ~ c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( ~ c2_1(X5)
                | ~ c3_1(X5)
                | c0_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( c1_1(X4)
                | ~ c0_1(X4)
                | c2_1(X4) ) ) )
        & ( hskp2
          | hskp34
          | hskp33 )
        & ( hskp1
          | ! [X3] :
              ( ndr1_0
             => ( c1_1(X3)
                | ~ c3_1(X3)
                | c0_1(X3) ) )
          | hskp0 )
        & ( ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | ~ c2_1(X2)
                | ~ c1_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | c0_1(X1)
                | ~ c2_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( ~ c0_1(X0)
                | ~ c3_1(X0)
                | c2_1(X0) ) ) )
        & ( ( c3_1(a675)
            & ~ c2_1(a675)
            & c1_1(a675)
            & ndr1_0 )
          | ~ hskp66 )
        & ( ( c0_1(a674)
            & ~ c1_1(a674)
            & c2_1(a674)
            & ndr1_0 )
          | ~ hskp65 )
        & ( ( c1_1(a673)
            & ~ c0_1(a673)
            & c3_1(a673)
            & ndr1_0 )
          | ~ hskp64 )
        & ( ( c3_1(a672)
            & ~ c2_1(a672)
            & ~ c0_1(a672)
            & ndr1_0 )
          | ~ hskp63 )
        & ( ( c0_1(a671)
            & c3_1(a671)
            & ~ c1_1(a671)
            & ndr1_0 )
          | ~ hskp62 )
        & ( ( c2_1(a670)
            & ~ c0_1(a670)
            & ~ c1_1(a670)
            & ndr1_0 )
          | ~ hskp61 )
        & ( ( c1_1(a669)
            & ~ c2_1(a669)
            & c0_1(a669)
            & ndr1_0 )
          | ~ hskp60 )
        & ( ( c3_1(a665)
            & c2_1(a665)
            & ~ c0_1(a665)
            & ndr1_0 )
          | ~ hskp59 )
        & ( ( c3_1(a663)
            & ~ c1_1(a663)
            & ~ c0_1(a663)
            & ndr1_0 )
          | ~ hskp58 )
        & ( ( c2_1(a662)
            & c1_1(a662)
            & ~ c0_1(a662)
            & ndr1_0 )
          | ~ hskp57 )
        & ( ( c3_1(a658)
            & c2_1(a658)
            & ~ c1_1(a658)
            & ndr1_0 )
          | ~ hskp56 )
        & ( ( c1_1(a653)
            & c3_1(a653)
            & ~ c2_1(a653)
            & ndr1_0 )
          | ~ hskp55 )
        & ( ( c2_1(a651)
            & ~ c0_1(a651)
            & c3_1(a651)
            & ndr1_0 )
          | ~ hskp54 )
        & ( ( c0_1(a648)
            & ~ c2_1(a648)
            & c3_1(a648)
            & ndr1_0 )
          | ~ hskp53 )
        & ( ( c0_1(a647)
            & ~ c1_1(a647)
            & ~ c2_1(a647)
            & ndr1_0 )
          | ~ hskp52 )
        & ( ( c0_1(a644)
            & ~ c3_1(a644)
            & c2_1(a644)
            & ndr1_0 )
          | ~ hskp51 )
        & ( ( c0_1(a640)
            & c1_1(a640)
            & ~ c3_1(a640)
            & ndr1_0 )
          | ~ hskp50 )
        & ( ( c1_1(a639)
            & ~ c0_1(a639)
            & ~ c2_1(a639)
            & ndr1_0 )
          | ~ hskp49 )
        & ( ( c2_1(a638)
            & c1_1(a638)
            & ~ c3_1(a638)
            & ndr1_0 )
          | ~ hskp48 )
        & ( ( c3_1(a636)
            & ~ c0_1(a636)
            & ~ c1_1(a636)
            & ndr1_0 )
          | ~ hskp47 )
        & ( ( c3_1(a626)
            & c0_1(a626)
            & c1_1(a626)
            & ndr1_0 )
          | ~ hskp46 )
        & ( ( c2_1(a623)
            & c3_1(a623)
            & ~ c0_1(a623)
            & ndr1_0 )
          | ~ hskp45 )
        & ( ( c3_1(a621)
            & ~ c0_1(a621)
            & c2_1(a621)
            & ndr1_0 )
          | ~ hskp44 )
        & ( ( c0_1(a619)
            & ~ c1_1(a619)
            & ~ c3_1(a619)
            & ndr1_0 )
          | ~ hskp43 )
        & ( ( c1_1(a618)
            & ~ c3_1(a618)
            & ~ c2_1(a618)
            & ndr1_0 )
          | ~ hskp42 )
        & ( ( c3_1(a617)
            & ~ c1_1(a617)
            & c2_1(a617)
            & ndr1_0 )
          | ~ hskp41 )
        & ( ( c0_1(a614)
            & c1_1(a614)
            & c2_1(a614)
            & ndr1_0 )
          | ~ hskp40 )
        & ( ( c2_1(a611)
            & c3_1(a611)
            & ~ c1_1(a611)
            & ndr1_0 )
          | ~ hskp39 )
        & ( ( c0_1(a608)
            & c3_1(a608)
            & c1_1(a608)
            & ndr1_0 )
          | ~ hskp38 )
        & ( ( c0_1(a607)
            & ~ c2_1(a607)
            & c1_1(a607)
            & ndr1_0 )
          | ~ hskp37 )
        & ( ( c0_1(a605)
            & ~ c3_1(a605)
            & c1_1(a605)
            & ndr1_0 )
          | ~ hskp36 )
        & ( ( c2_1(a602)
            & ~ c1_1(a602)
            & ~ c3_1(a602)
            & ndr1_0 )
          | ~ hskp35 )
        & ( ( c0_1(a600)
            & c2_1(a600)
            & ~ c3_1(a600)
            & ndr1_0 )
          | ~ hskp34 )
        & ( ( c3_1(a599)
            & c0_1(a599)
            & ~ c2_1(a599)
            & ndr1_0 )
          | ~ hskp33 )
        & ( ( ~ c2_1(a677)
            & ~ c3_1(a677)
            & c0_1(a677)
            & ndr1_0 )
          | ~ hskp32 )
        & ( ( ~ c0_1(a667)
            & c1_1(a667)
            & ~ c2_1(a667)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( ~ c3_1(a666)
            & c0_1(a666)
            & ~ c2_1(a666)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( ~ c0_1(a660)
            & ~ c3_1(a660)
            & ~ c1_1(a660)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( ~ c0_1(a656)
            & c1_1(a656)
            & ~ c3_1(a656)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c1_1(a654)
            & ~ c0_1(a654)
            & ~ c3_1(a654)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a652)
            & c3_1(a652)
            & ~ c1_1(a652)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c0_1(a646)
            & ~ c2_1(a646)
            & c3_1(a646)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c1_1(a643)
            & c3_1(a643)
            & ~ c0_1(a643)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c0_1(a642)
            & c3_1(a642)
            & c2_1(a642)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c2_1(a641)
            & ~ c1_1(a641)
            & c0_1(a641)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a637)
            & c0_1(a637)
            & c1_1(a637)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a635)
            & ~ c2_1(a635)
            & ~ c1_1(a635)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a634)
            & ~ c0_1(a634)
            & ~ c1_1(a634)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a632)
            & c3_1(a632)
            & c0_1(a632)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a628)
            & ~ c2_1(a628)
            & c3_1(a628)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a627)
            & c0_1(a627)
            & c2_1(a627)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c0_1(a625)
            & ~ c1_1(a625)
            & ~ c2_1(a625)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a624)
            & ~ c1_1(a624)
            & c3_1(a624)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c0_1(a622)
            & ~ c2_1(a622)
            & ~ c1_1(a622)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a620)
            & ~ c3_1(a620)
            & ~ c0_1(a620)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a616)
            & c1_1(a616)
            & c0_1(a616)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a615)
            & c3_1(a615)
            & c0_1(a615)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a613)
            & c2_1(a613)
            & c1_1(a613)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c1_1(a612)
            & c3_1(a612)
            & ~ c2_1(a612)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a610)
            & ~ c2_1(a610)
            & c1_1(a610)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a609)
            & ~ c0_1(a609)
            & c2_1(a609)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a606)
            & c2_1(a606)
            & ~ c0_1(a606)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a604)
            & ~ c0_1(a604)
            & ~ c2_1(a604)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a603)
            & ~ c1_1(a603)
            & c0_1(a603)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a601)
            & ~ c2_1(a601)
            & c0_1(a601)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c1_1(a598)
            & c2_1(a598)
            & c0_1(a598)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a597)
            & ~ c3_1(a597)
            & c0_1(a597)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( ! [X96] :
            ( ndr1_0
           => ( ~ c2_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) )
        | hskp30
        | hskp32 )
      & ( ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | c0_1(X95)
              | c1_1(X95) ) )
        | hskp55
        | ! [X94] :
            ( ndr1_0
           => ( c1_1(X94)
              | ~ c0_1(X94)
              | ~ c3_1(X94) ) ) )
      & ( hskp66
        | hskp65
        | hskp64 )
      & ( ! [X93] :
            ( ndr1_0
           => ( c2_1(X93)
              | c3_1(X93)
              | c1_1(X93) ) )
        | hskp63
        | hskp62 )
      & ( hskp61
        | hskp60
        | hskp33 )
      & ( ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c1_1(X92)
              | ~ c2_1(X92) ) )
        | hskp31
        | ! [X91] :
            ( ndr1_0
           => ( c0_1(X91)
              | ~ c1_1(X91)
              | ~ c2_1(X91) ) ) )
      & ( hskp30
        | hskp59 )
      & ( hskp41
        | hskp58
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | ~ c3_1(X90)
              | c2_1(X90) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c1_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | ~ c3_1(X88)
              | c1_1(X88) ) )
        | hskp57 )
      & ( ! [X87] :
            ( ndr1_0
           => ( c1_1(X87)
              | c0_1(X87)
              | c3_1(X87) ) )
        | ! [X86] :
            ( ndr1_0
           => ( c1_1(X86)
              | c0_1(X86)
              | ~ c3_1(X86) ) )
        | hskp42 )
      & ( hskp29
        | hskp3
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | c2_1(X85)
              | c0_1(X85) ) ) )
      & ( ! [X84] :
            ( ndr1_0
           => ( c3_1(X84)
              | ~ c1_1(X84)
              | c2_1(X84) ) )
        | hskp56
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | c1_1(X83)
              | c2_1(X83) ) ) )
      & ( ! [X82] :
            ( ndr1_0
           => ( c0_1(X82)
              | c3_1(X82)
              | ~ c2_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( c1_1(X81)
              | ~ c3_1(X81)
              | c2_1(X81) ) )
        | hskp55 )
      & ( hskp28
        | hskp40
        | hskp27 )
      & ( ! [X80] :
            ( ndr1_0
           => ( c2_1(X80)
              | ~ c0_1(X80)
              | c1_1(X80) ) )
        | hskp55
        | hskp26 )
      & ( ! [X79] :
            ( ndr1_0
           => ( c0_1(X79)
              | ~ c2_1(X79)
              | c3_1(X79) ) )
        | hskp54
        | hskp37 )
      & ( ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | c1_1(X78)
              | c0_1(X78) ) )
        | hskp17
        | hskp53 )
      & ( hskp52
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c3_1(X77) ) )
        | hskp25 )
      & ( hskp5
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | c1_1(X76)
              | c2_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c2_1(X75)
              | ~ c1_1(X75)
              | ~ c0_1(X75) ) ) )
      & ( ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | c0_1(X74)
              | ~ c1_1(X74) ) )
        | hskp51
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | c0_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp24
        | hskp23
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c1_1(X72) ) ) )
      & ( hskp22
        | hskp50
        | ! [X71] :
            ( ndr1_0
           => ( c1_1(X71)
              | c2_1(X71)
              | c3_1(X71) ) ) )
      & ( hskp49
        | ! [X70] :
            ( ndr1_0
           => ( ~ c0_1(X70)
              | c3_1(X70)
              | c1_1(X70) ) )
        | hskp48 )
      & ( ! [X69] :
            ( ndr1_0
           => ( c2_1(X69)
              | c0_1(X69)
              | c3_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( c0_1(X68)
              | c1_1(X68)
              | c3_1(X68) ) )
        | ! [X67] :
            ( ndr1_0
           => ( c3_1(X67)
              | c0_1(X67)
              | c2_1(X67) ) ) )
      & ( hskp21
        | ! [X66] :
            ( ndr1_0
           => ( ~ c0_1(X66)
              | c3_1(X66)
              | c1_1(X66) ) )
        | hskp47 )
      & ( hskp20
        | ! [X65] :
            ( ndr1_0
           => ( ~ c0_1(X65)
              | c2_1(X65)
              | c3_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | c1_1(X64)
              | ~ c2_1(X64) ) ) )
      & ( hskp19
        | hskp9
        | hskp18 )
      & ( ! [X63] :
            ( ndr1_0
           => ( ~ c0_1(X63)
              | ~ c2_1(X63)
              | c1_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | ~ c2_1(X62)
              | ~ c3_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c2_1(X61)
              | ~ c1_1(X61) ) ) )
      & ( ! [X60] :
            ( ndr1_0
           => ( ~ c0_1(X60)
              | c3_1(X60)
              | ~ c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( c0_1(X59)
              | c2_1(X59)
              | ~ c3_1(X59) ) )
        | hskp16 )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c1_1(X58)
              | ~ c0_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( c2_1(X57)
              | c1_1(X57)
              | ~ c0_1(X57) ) )
        | hskp36 )
      & ( hskp9
        | hskp17
        | hskp16 )
      & ( ! [X56] :
            ( ndr1_0
           => ( c0_1(X56)
              | c3_1(X56)
              | ~ c2_1(X56) ) )
        | ! [X55] :
            ( ndr1_0
           => ( c1_1(X55)
              | c3_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( c3_1(X54)
              | c1_1(X54)
              | c2_1(X54) ) ) )
      & ( hskp46
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | ~ c0_1(X53)
              | c1_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( c3_1(X52)
              | c2_1(X52)
              | ~ c1_1(X52) ) ) )
      & ( ! [X51] :
            ( ndr1_0
           => ( c1_1(X51)
              | ~ c2_1(X51)
              | ~ c3_1(X51) ) )
        | ! [X50] :
            ( ndr1_0
           => ( c1_1(X50)
              | c0_1(X50)
              | ~ c3_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( c0_1(X49)
              | c1_1(X49)
              | c3_1(X49) ) ) )
      & ( ! [X48] :
            ( ndr1_0
           => ( ~ c0_1(X48)
              | c1_1(X48)
              | ~ c2_1(X48) ) )
        | hskp15
        | hskp14 )
      & ( hskp45
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c2_1(X46)
              | ~ c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | ~ c2_1(X45)
              | c0_1(X45) ) )
        | hskp13
        | hskp44 )
      & ( ! [X44] :
            ( ndr1_0
           => ( c2_1(X44)
              | ~ c1_1(X44)
              | ~ c3_1(X44) ) )
        | hskp12
        | hskp43 )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c0_1(X43)
              | ~ c3_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c0_1(X42)
              | c3_1(X42)
              | ~ c2_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | ~ c2_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( c1_1(X40)
              | ~ c3_1(X40)
              | ~ c2_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( c0_1(X39)
              | c1_1(X39)
              | ~ c2_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( c0_1(X38)
              | ~ c1_1(X38)
              | ~ c2_1(X38) ) ) )
      & ( ! [X37] :
            ( ndr1_0
           => ( ~ c2_1(X37)
              | ~ c3_1(X37)
              | c0_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( c1_1(X36)
              | ~ c0_1(X36)
              | ~ c2_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c3_1(X35)
              | c2_1(X35)
              | c1_1(X35) ) ) )
      & ( ! [X34] :
            ( ndr1_0
           => ( c1_1(X34)
              | c2_1(X34)
              | ~ c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c1_1(X33)
              | c0_1(X33) ) )
        | hskp42 )
      & ( ! [X32] :
            ( ndr1_0
           => ( c2_1(X32)
              | ~ c3_1(X32)
              | ~ c1_1(X32) ) )
        | hskp41
        | ! [X31] :
            ( ndr1_0
           => ( c2_1(X31)
              | ~ c0_1(X31)
              | ~ c1_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( c0_1(X30)
              | ~ c2_1(X30)
              | ~ c1_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c0_1(X29)
              | c2_1(X29)
              | ~ c3_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( c0_1(X28)
              | c2_1(X28)
              | c3_1(X28) ) ) )
      & ( ! [X27] :
            ( ndr1_0
           => ( c3_1(X27)
              | c1_1(X27)
              | c2_1(X27) ) )
        | hskp11
        | ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c1_1(X26)
              | ~ c3_1(X26) ) ) )
      & ( hskp10
        | hskp40
        | ! [X25] :
            ( ndr1_0
           => ( c2_1(X25)
              | ~ c1_1(X25)
              | c3_1(X25) ) ) )
      & ( ! [X24] :
            ( ndr1_0
           => ( c2_1(X24)
              | c0_1(X24)
              | c3_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c0_1(X23)
              | c1_1(X23)
              | ~ c3_1(X23) ) )
        | ! [X22] :
            ( ndr1_0
           => ( ~ c0_1(X22)
              | ~ c3_1(X22)
              | c2_1(X22) ) ) )
      & ( hskp9
        | ! [X21] :
            ( ndr1_0
           => ( c3_1(X21)
              | c1_1(X21)
              | c2_1(X21) ) )
        | hskp8 )
      & ( hskp39
        | hskp7
        | ! [X20] :
            ( ndr1_0
           => ( ~ c0_1(X20)
              | ~ c1_1(X20)
              | c2_1(X20) ) ) )
      & ( ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c0_1(X19)
              | ~ c1_1(X19) ) )
        | hskp6
        | ! [X18] :
            ( ndr1_0
           => ( ~ c0_1(X18)
              | ~ c3_1(X18)
              | ~ c1_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( c0_1(X17)
              | ~ c1_1(X17)
              | ~ c3_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c0_1(X16)
              | c1_1(X16)
              | c2_1(X16) ) )
        | hskp38 )
      & ( ! [X15] :
            ( ndr1_0
           => ( c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | ~ c2_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( c1_1(X13)
              | c0_1(X13)
              | ~ c2_1(X13) ) ) )
      & ( hskp37
        | ! [X12] :
            ( ndr1_0
           => ( ~ c3_1(X12)
              | ~ c2_1(X12)
              | ~ c0_1(X12) ) )
        | hskp5 )
      & ( hskp36
        | hskp4
        | hskp3 )
      & ( ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c2_1(X11)
              | ~ c0_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c2_1(X10)
              | ~ c0_1(X10) ) )
        | hskp35 )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | ~ c1_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c3_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | c0_1(X7)
              | ~ c1_1(X7) ) ) )
      & ( ! [X6] :
            ( ndr1_0
           => ( ~ c2_1(X6)
              | c1_1(X6)
              | ~ c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( ~ c2_1(X5)
              | ~ c3_1(X5)
              | c0_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( c1_1(X4)
              | ~ c0_1(X4)
              | c2_1(X4) ) ) )
      & ( hskp2
        | hskp34
        | hskp33 )
      & ( hskp1
        | ! [X3] :
            ( ndr1_0
           => ( c1_1(X3)
              | ~ c3_1(X3)
              | c0_1(X3) ) )
        | hskp0 )
      & ( ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | ~ c2_1(X2)
              | ~ c1_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c3_1(X1)
              | c0_1(X1)
              | ~ c2_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( ~ c0_1(X0)
              | ~ c3_1(X0)
              | c2_1(X0) ) ) )
      & ( ( c3_1(a675)
          & ~ c2_1(a675)
          & c1_1(a675)
          & ndr1_0 )
        | ~ hskp66 )
      & ( ( c0_1(a674)
          & ~ c1_1(a674)
          & c2_1(a674)
          & ndr1_0 )
        | ~ hskp65 )
      & ( ( c1_1(a673)
          & ~ c0_1(a673)
          & c3_1(a673)
          & ndr1_0 )
        | ~ hskp64 )
      & ( ( c3_1(a672)
          & ~ c2_1(a672)
          & ~ c0_1(a672)
          & ndr1_0 )
        | ~ hskp63 )
      & ( ( c0_1(a671)
          & c3_1(a671)
          & ~ c1_1(a671)
          & ndr1_0 )
        | ~ hskp62 )
      & ( ( c2_1(a670)
          & ~ c0_1(a670)
          & ~ c1_1(a670)
          & ndr1_0 )
        | ~ hskp61 )
      & ( ( c1_1(a669)
          & ~ c2_1(a669)
          & c0_1(a669)
          & ndr1_0 )
        | ~ hskp60 )
      & ( ( c3_1(a665)
          & c2_1(a665)
          & ~ c0_1(a665)
          & ndr1_0 )
        | ~ hskp59 )
      & ( ( c3_1(a663)
          & ~ c1_1(a663)
          & ~ c0_1(a663)
          & ndr1_0 )
        | ~ hskp58 )
      & ( ( c2_1(a662)
          & c1_1(a662)
          & ~ c0_1(a662)
          & ndr1_0 )
        | ~ hskp57 )
      & ( ( c3_1(a658)
          & c2_1(a658)
          & ~ c1_1(a658)
          & ndr1_0 )
        | ~ hskp56 )
      & ( ( c1_1(a653)
          & c3_1(a653)
          & ~ c2_1(a653)
          & ndr1_0 )
        | ~ hskp55 )
      & ( ( c2_1(a651)
          & ~ c0_1(a651)
          & c3_1(a651)
          & ndr1_0 )
        | ~ hskp54 )
      & ( ( c0_1(a648)
          & ~ c2_1(a648)
          & c3_1(a648)
          & ndr1_0 )
        | ~ hskp53 )
      & ( ( c0_1(a647)
          & ~ c1_1(a647)
          & ~ c2_1(a647)
          & ndr1_0 )
        | ~ hskp52 )
      & ( ( c0_1(a644)
          & ~ c3_1(a644)
          & c2_1(a644)
          & ndr1_0 )
        | ~ hskp51 )
      & ( ( c0_1(a640)
          & c1_1(a640)
          & ~ c3_1(a640)
          & ndr1_0 )
        | ~ hskp50 )
      & ( ( c1_1(a639)
          & ~ c0_1(a639)
          & ~ c2_1(a639)
          & ndr1_0 )
        | ~ hskp49 )
      & ( ( c2_1(a638)
          & c1_1(a638)
          & ~ c3_1(a638)
          & ndr1_0 )
        | ~ hskp48 )
      & ( ( c3_1(a636)
          & ~ c0_1(a636)
          & ~ c1_1(a636)
          & ndr1_0 )
        | ~ hskp47 )
      & ( ( c3_1(a626)
          & c0_1(a626)
          & c1_1(a626)
          & ndr1_0 )
        | ~ hskp46 )
      & ( ( c2_1(a623)
          & c3_1(a623)
          & ~ c0_1(a623)
          & ndr1_0 )
        | ~ hskp45 )
      & ( ( c3_1(a621)
          & ~ c0_1(a621)
          & c2_1(a621)
          & ndr1_0 )
        | ~ hskp44 )
      & ( ( c0_1(a619)
          & ~ c1_1(a619)
          & ~ c3_1(a619)
          & ndr1_0 )
        | ~ hskp43 )
      & ( ( c1_1(a618)
          & ~ c3_1(a618)
          & ~ c2_1(a618)
          & ndr1_0 )
        | ~ hskp42 )
      & ( ( c3_1(a617)
          & ~ c1_1(a617)
          & c2_1(a617)
          & ndr1_0 )
        | ~ hskp41 )
      & ( ( c0_1(a614)
          & c1_1(a614)
          & c2_1(a614)
          & ndr1_0 )
        | ~ hskp40 )
      & ( ( c2_1(a611)
          & c3_1(a611)
          & ~ c1_1(a611)
          & ndr1_0 )
        | ~ hskp39 )
      & ( ( c0_1(a608)
          & c3_1(a608)
          & c1_1(a608)
          & ndr1_0 )
        | ~ hskp38 )
      & ( ( c0_1(a607)
          & ~ c2_1(a607)
          & c1_1(a607)
          & ndr1_0 )
        | ~ hskp37 )
      & ( ( c0_1(a605)
          & ~ c3_1(a605)
          & c1_1(a605)
          & ndr1_0 )
        | ~ hskp36 )
      & ( ( c2_1(a602)
          & ~ c1_1(a602)
          & ~ c3_1(a602)
          & ndr1_0 )
        | ~ hskp35 )
      & ( ( c0_1(a600)
          & c2_1(a600)
          & ~ c3_1(a600)
          & ndr1_0 )
        | ~ hskp34 )
      & ( ( c3_1(a599)
          & c0_1(a599)
          & ~ c2_1(a599)
          & ndr1_0 )
        | ~ hskp33 )
      & ( ( ~ c2_1(a677)
          & ~ c3_1(a677)
          & c0_1(a677)
          & ndr1_0 )
        | ~ hskp32 )
      & ( ( ~ c0_1(a667)
          & c1_1(a667)
          & ~ c2_1(a667)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( ~ c3_1(a666)
          & c0_1(a666)
          & ~ c2_1(a666)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( ~ c0_1(a660)
          & ~ c3_1(a660)
          & ~ c1_1(a660)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( ~ c0_1(a656)
          & c1_1(a656)
          & ~ c3_1(a656)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c1_1(a654)
          & ~ c0_1(a654)
          & ~ c3_1(a654)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a652)
          & c3_1(a652)
          & ~ c1_1(a652)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c0_1(a646)
          & ~ c2_1(a646)
          & c3_1(a646)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c1_1(a643)
          & c3_1(a643)
          & ~ c0_1(a643)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c0_1(a642)
          & c3_1(a642)
          & c2_1(a642)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c2_1(a641)
          & ~ c1_1(a641)
          & c0_1(a641)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a637)
          & c0_1(a637)
          & c1_1(a637)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a635)
          & ~ c2_1(a635)
          & ~ c1_1(a635)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a634)
          & ~ c0_1(a634)
          & ~ c1_1(a634)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a632)
          & c3_1(a632)
          & c0_1(a632)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a628)
          & ~ c2_1(a628)
          & c3_1(a628)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a627)
          & c0_1(a627)
          & c2_1(a627)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c0_1(a625)
          & ~ c1_1(a625)
          & ~ c2_1(a625)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a624)
          & ~ c1_1(a624)
          & c3_1(a624)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c0_1(a622)
          & ~ c2_1(a622)
          & ~ c1_1(a622)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a620)
          & ~ c3_1(a620)
          & ~ c0_1(a620)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a616)
          & c1_1(a616)
          & c0_1(a616)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a615)
          & c3_1(a615)
          & c0_1(a615)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a613)
          & c2_1(a613)
          & c1_1(a613)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c1_1(a612)
          & c3_1(a612)
          & ~ c2_1(a612)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a610)
          & ~ c2_1(a610)
          & c1_1(a610)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a609)
          & ~ c0_1(a609)
          & c2_1(a609)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a606)
          & c2_1(a606)
          & ~ c0_1(a606)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a604)
          & ~ c0_1(a604)
          & ~ c2_1(a604)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a603)
          & ~ c1_1(a603)
          & c0_1(a603)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a601)
          & ~ c2_1(a601)
          & c0_1(a601)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c1_1(a598)
          & c2_1(a598)
          & c0_1(a598)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a597)
          & ~ c3_1(a597)
          & c0_1(a597)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1851,plain,
    ( ~ spl0_95
    | ~ spl0_297 ),
    inference(avatar_split_clause,[],[f9,f1848,f774]) ).

fof(f9,plain,
    ( ~ c3_1(a597)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1846,plain,
    ( ~ spl0_95
    | ~ spl0_296 ),
    inference(avatar_split_clause,[],[f10,f1843,f774]) ).

fof(f10,plain,
    ( ~ c1_1(a597)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1840,plain,
    ( ~ spl0_96
    | spl0_295 ),
    inference(avatar_split_clause,[],[f12,f1837,f778]) ).

fof(f778,plain,
    ( spl0_96
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f12,plain,
    ( c0_1(a598)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1835,plain,
    ( ~ spl0_96
    | spl0_294 ),
    inference(avatar_split_clause,[],[f13,f1832,f778]) ).

fof(f13,plain,
    ( c2_1(a598)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1830,plain,
    ( ~ spl0_96
    | ~ spl0_293 ),
    inference(avatar_split_clause,[],[f14,f1827,f778]) ).

fof(f14,plain,
    ( ~ c1_1(a598)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1809,plain,
    ( ~ spl0_28
    | spl0_3 ),
    inference(avatar_split_clause,[],[f19,f376,f477]) ).

fof(f477,plain,
    ( spl0_28
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f376,plain,
    ( spl0_3
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

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

fof(f1793,plain,
    ( ~ spl0_91
    | spl0_3 ),
    inference(avatar_split_clause,[],[f23,f376,f753]) ).

fof(f753,plain,
    ( spl0_91
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f23,plain,
    ( ndr1_0
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1776,plain,
    ( ~ spl0_47
    | ~ spl0_283 ),
    inference(avatar_split_clause,[],[f28,f1773,f555]) ).

fof(f555,plain,
    ( spl0_47
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f28,plain,
    ( ~ c0_1(a606)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1771,plain,
    ( ~ spl0_47
    | spl0_282 ),
    inference(avatar_split_clause,[],[f29,f1768,f555]) ).

fof(f29,plain,
    ( c2_1(a606)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1766,plain,
    ( ~ spl0_47
    | ~ spl0_281 ),
    inference(avatar_split_clause,[],[f30,f1763,f555]) ).

fof(f30,plain,
    ( ~ c3_1(a606)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1760,plain,
    ( ~ spl0_87
    | spl0_280 ),
    inference(avatar_split_clause,[],[f32,f1757,f735]) ).

fof(f735,plain,
    ( spl0_87
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f32,plain,
    ( c2_1(a609)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1755,plain,
    ( ~ spl0_87
    | ~ spl0_279 ),
    inference(avatar_split_clause,[],[f33,f1752,f735]) ).

fof(f33,plain,
    ( ~ c0_1(a609)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1750,plain,
    ( ~ spl0_87
    | ~ spl0_278 ),
    inference(avatar_split_clause,[],[f34,f1747,f735]) ).

fof(f34,plain,
    ( ~ c1_1(a609)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1728,plain,
    ( ~ spl0_84
    | ~ spl0_274 ),
    inference(avatar_split_clause,[],[f40,f1725,f721]) ).

fof(f721,plain,
    ( spl0_84
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f40,plain,
    ( ~ c2_1(a612)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1723,plain,
    ( ~ spl0_84
    | spl0_273 ),
    inference(avatar_split_clause,[],[f41,f1720,f721]) ).

fof(f41,plain,
    ( c3_1(a612)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1718,plain,
    ( ~ spl0_84
    | ~ spl0_272 ),
    inference(avatar_split_clause,[],[f42,f1715,f721]) ).

fof(f42,plain,
    ( ~ c1_1(a612)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1712,plain,
    ( ~ spl0_63
    | spl0_271 ),
    inference(avatar_split_clause,[],[f44,f1709,f623]) ).

fof(f623,plain,
    ( spl0_63
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f44,plain,
    ( c1_1(a613)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1707,plain,
    ( ~ spl0_63
    | spl0_270 ),
    inference(avatar_split_clause,[],[f45,f1704,f623]) ).

fof(f45,plain,
    ( c2_1(a613)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1702,plain,
    ( ~ spl0_63
    | ~ spl0_269 ),
    inference(avatar_split_clause,[],[f46,f1699,f623]) ).

fof(f46,plain,
    ( ~ c3_1(a613)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1680,plain,
    ( ~ spl0_82
    | spl0_265 ),
    inference(avatar_split_clause,[],[f52,f1677,f710]) ).

fof(f710,plain,
    ( spl0_82
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f52,plain,
    ( c0_1(a616)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1675,plain,
    ( ~ spl0_82
    | spl0_264 ),
    inference(avatar_split_clause,[],[f53,f1672,f710]) ).

fof(f53,plain,
    ( c1_1(a616)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1670,plain,
    ( ~ spl0_82
    | ~ spl0_263 ),
    inference(avatar_split_clause,[],[f54,f1667,f710]) ).

fof(f54,plain,
    ( ~ c2_1(a616)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1632,plain,
    ( ~ spl0_70
    | spl0_256 ),
    inference(avatar_split_clause,[],[f64,f1629,f657]) ).

fof(f657,plain,
    ( spl0_70
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f64,plain,
    ( c3_1(a624)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1627,plain,
    ( ~ spl0_70
    | ~ spl0_255 ),
    inference(avatar_split_clause,[],[f65,f1624,f657]) ).

fof(f65,plain,
    ( ~ c1_1(a624)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1622,plain,
    ( ~ spl0_70
    | ~ spl0_254 ),
    inference(avatar_split_clause,[],[f66,f1619,f657]) ).

fof(f66,plain,
    ( ~ c2_1(a624)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1616,plain,
    ( ~ spl0_71
    | ~ spl0_253 ),
    inference(avatar_split_clause,[],[f68,f1613,f661]) ).

fof(f661,plain,
    ( spl0_71
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f68,plain,
    ( ~ c2_1(a625)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1611,plain,
    ( ~ spl0_71
    | ~ spl0_252 ),
    inference(avatar_split_clause,[],[f69,f1608,f661]) ).

fof(f69,plain,
    ( ~ c1_1(a625)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1606,plain,
    ( ~ spl0_71
    | ~ spl0_251 ),
    inference(avatar_split_clause,[],[f70,f1603,f661]) ).

fof(f70,plain,
    ( ~ c0_1(a625)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1584,plain,
    ( ~ spl0_42
    | spl0_247 ),
    inference(avatar_split_clause,[],[f76,f1581,f535]) ).

fof(f535,plain,
    ( spl0_42
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f76,plain,
    ( c3_1(a628)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1579,plain,
    ( ~ spl0_42
    | ~ spl0_246 ),
    inference(avatar_split_clause,[],[f77,f1576,f535]) ).

fof(f77,plain,
    ( ~ c2_1(a628)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1574,plain,
    ( ~ spl0_42
    | ~ spl0_245 ),
    inference(avatar_split_clause,[],[f78,f1571,f535]) ).

fof(f78,plain,
    ( ~ c1_1(a628)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1568,plain,
    ( ~ spl0_62
    | spl0_244 ),
    inference(avatar_split_clause,[],[f80,f1565,f619]) ).

fof(f619,plain,
    ( spl0_62
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f80,plain,
    ( c0_1(a632)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1563,plain,
    ( ~ spl0_62
    | spl0_243 ),
    inference(avatar_split_clause,[],[f81,f1560,f619]) ).

fof(f81,plain,
    ( c3_1(a632)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1558,plain,
    ( ~ spl0_62
    | ~ spl0_242 ),
    inference(avatar_split_clause,[],[f82,f1555,f619]) ).

fof(f82,plain,
    ( ~ c1_1(a632)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1552,plain,
    ( ~ spl0_64
    | ~ spl0_241 ),
    inference(avatar_split_clause,[],[f84,f1549,f627]) ).

fof(f627,plain,
    ( spl0_64
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f84,plain,
    ( ~ c1_1(a634)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1547,plain,
    ( ~ spl0_64
    | ~ spl0_240 ),
    inference(avatar_split_clause,[],[f85,f1544,f627]) ).

fof(f85,plain,
    ( ~ c0_1(a634)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1542,plain,
    ( ~ spl0_64
    | ~ spl0_239 ),
    inference(avatar_split_clause,[],[f86,f1539,f627]) ).

fof(f86,plain,
    ( ~ c3_1(a634)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1536,plain,
    ( ~ spl0_61
    | ~ spl0_238 ),
    inference(avatar_split_clause,[],[f88,f1533,f614]) ).

fof(f614,plain,
    ( spl0_61
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f88,plain,
    ( ~ c1_1(a635)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1531,plain,
    ( ~ spl0_61
    | ~ spl0_237 ),
    inference(avatar_split_clause,[],[f89,f1528,f614]) ).

fof(f89,plain,
    ( ~ c2_1(a635)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1526,plain,
    ( ~ spl0_61
    | ~ spl0_236 ),
    inference(avatar_split_clause,[],[f90,f1523,f614]) ).

fof(f90,plain,
    ( ~ c3_1(a635)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1456,plain,
    ( ~ spl0_43
    | spl0_223 ),
    inference(avatar_split_clause,[],[f108,f1453,f540]) ).

fof(f540,plain,
    ( spl0_43
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f108,plain,
    ( c3_1(a646)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1451,plain,
    ( ~ spl0_43
    | ~ spl0_222 ),
    inference(avatar_split_clause,[],[f109,f1448,f540]) ).

fof(f109,plain,
    ( ~ c2_1(a646)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1440,plain,
    ( ~ spl0_37
    | ~ spl0_220 ),
    inference(avatar_split_clause,[],[f112,f1437,f514]) ).

fof(f514,plain,
    ( spl0_37
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f112,plain,
    ( ~ c1_1(a652)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1435,plain,
    ( ~ spl0_37
    | spl0_219 ),
    inference(avatar_split_clause,[],[f113,f1432,f514]) ).

fof(f113,plain,
    ( c3_1(a652)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1430,plain,
    ( ~ spl0_37
    | ~ spl0_218 ),
    inference(avatar_split_clause,[],[f114,f1427,f514]) ).

fof(f114,plain,
    ( ~ c2_1(a652)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1376,plain,
    ( ~ spl0_2
    | ~ spl0_208 ),
    inference(avatar_split_clause,[],[f128,f1373,f372]) ).

fof(f372,plain,
    ( spl0_2
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f128,plain,
    ( ~ c2_1(a666)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1371,plain,
    ( ~ spl0_2
    | spl0_207 ),
    inference(avatar_split_clause,[],[f129,f1368,f372]) ).

fof(f129,plain,
    ( c0_1(a666)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1366,plain,
    ( ~ spl0_2
    | ~ spl0_206 ),
    inference(avatar_split_clause,[],[f130,f1363,f372]) ).

fof(f130,plain,
    ( ~ c3_1(a666)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1344,plain,
    ( ~ spl0_1
    | spl0_202 ),
    inference(avatar_split_clause,[],[f136,f1341,f368]) ).

fof(f368,plain,
    ( spl0_1
  <=> hskp32 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f136,plain,
    ( c0_1(a677)
    | ~ hskp32 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1339,plain,
    ( ~ spl0_1
    | ~ spl0_201 ),
    inference(avatar_split_clause,[],[f137,f1336,f368]) ).

fof(f137,plain,
    ( ~ c3_1(a677)
    | ~ hskp32 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1334,plain,
    ( ~ spl0_1
    | ~ spl0_200 ),
    inference(avatar_split_clause,[],[f138,f1331,f368]) ).

fof(f138,plain,
    ( ~ c2_1(a677)
    | ~ hskp32 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1328,plain,
    ( ~ spl0_14
    | ~ spl0_199 ),
    inference(avatar_split_clause,[],[f140,f1325,f420]) ).

fof(f420,plain,
    ( spl0_14
  <=> hskp33 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f140,plain,
    ( ~ c2_1(a599)
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1323,plain,
    ( ~ spl0_14
    | spl0_198 ),
    inference(avatar_split_clause,[],[f141,f1320,f420]) ).

fof(f141,plain,
    ( c0_1(a599)
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1318,plain,
    ( ~ spl0_14
    | spl0_197 ),
    inference(avatar_split_clause,[],[f142,f1315,f420]) ).

fof(f142,plain,
    ( c3_1(a599)
    | ~ hskp33 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1281,plain,
    ( ~ spl0_68
    | spl0_3 ),
    inference(avatar_split_clause,[],[f151,f376,f644]) ).

fof(f644,plain,
    ( spl0_68
  <=> hskp36 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f151,plain,
    ( ndr1_0
    | ~ hskp36 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1264,plain,
    ( ~ spl0_39
    | spl0_187 ),
    inference(avatar_split_clause,[],[f156,f1261,f522]) ).

fof(f522,plain,
    ( spl0_39
  <=> hskp37 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f156,plain,
    ( c1_1(a607)
    | ~ hskp37 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1259,plain,
    ( ~ spl0_39
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f157,f1256,f522]) ).

fof(f157,plain,
    ( ~ c2_1(a607)
    | ~ hskp37 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1254,plain,
    ( ~ spl0_39
    | spl0_185 ),
    inference(avatar_split_clause,[],[f158,f1251,f522]) ).

fof(f158,plain,
    ( c0_1(a607)
    | ~ hskp37 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1248,plain,
    ( ~ spl0_88
    | spl0_184 ),
    inference(avatar_split_clause,[],[f160,f1245,f740]) ).

fof(f740,plain,
    ( spl0_88
  <=> hskp38 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f160,plain,
    ( c1_1(a608)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1243,plain,
    ( ~ spl0_88
    | spl0_183 ),
    inference(avatar_split_clause,[],[f161,f1240,f740]) ).

fof(f161,plain,
    ( c3_1(a608)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1238,plain,
    ( ~ spl0_88
    | spl0_182 ),
    inference(avatar_split_clause,[],[f162,f1235,f740]) ).

fof(f162,plain,
    ( c0_1(a608)
    | ~ hskp38 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1200,plain,
    ( ~ spl0_22
    | spl0_175 ),
    inference(avatar_split_clause,[],[f172,f1197,f453]) ).

fof(f453,plain,
    ( spl0_22
  <=> hskp41 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f172,plain,
    ( c2_1(a617)
    | ~ hskp41 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1195,plain,
    ( ~ spl0_22
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f173,f1192,f453]) ).

fof(f173,plain,
    ( ~ c1_1(a617)
    | ~ hskp41 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1190,plain,
    ( ~ spl0_22
    | spl0_173 ),
    inference(avatar_split_clause,[],[f174,f1187,f453]) ).

fof(f174,plain,
    ( c3_1(a617)
    | ~ hskp41 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1184,plain,
    ( ~ spl0_25
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f176,f1181,f466]) ).

fof(f466,plain,
    ( spl0_25
  <=> hskp42 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f176,plain,
    ( ~ c2_1(a618)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1179,plain,
    ( ~ spl0_25
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f177,f1176,f466]) ).

fof(f177,plain,
    ( ~ c3_1(a618)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1174,plain,
    ( ~ spl0_25
    | spl0_170 ),
    inference(avatar_split_clause,[],[f178,f1171,f466]) ).

fof(f178,plain,
    ( c1_1(a618)
    | ~ hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1136,plain,
    ( ~ spl0_73
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f188,f1133,f669]) ).

fof(f669,plain,
    ( spl0_73
  <=> hskp45 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f188,plain,
    ( ~ c0_1(a623)
    | ~ hskp45 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1131,plain,
    ( ~ spl0_73
    | spl0_162 ),
    inference(avatar_split_clause,[],[f189,f1128,f669]) ).

fof(f189,plain,
    ( c3_1(a623)
    | ~ hskp45 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1126,plain,
    ( ~ spl0_73
    | spl0_161 ),
    inference(avatar_split_clause,[],[f190,f1123,f669]) ).

fof(f190,plain,
    ( c2_1(a623)
    | ~ hskp45 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1120,plain,
    ( ~ spl0_69
    | spl0_160 ),
    inference(avatar_split_clause,[],[f192,f1117,f651]) ).

fof(f651,plain,
    ( spl0_69
  <=> hskp46 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f192,plain,
    ( c1_1(a626)
    | ~ hskp46 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1115,plain,
    ( ~ spl0_69
    | spl0_159 ),
    inference(avatar_split_clause,[],[f193,f1112,f651]) ).

fof(f193,plain,
    ( c0_1(a626)
    | ~ hskp46 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1110,plain,
    ( ~ spl0_69
    | spl0_158 ),
    inference(avatar_split_clause,[],[f194,f1107,f651]) ).

fof(f194,plain,
    ( c3_1(a626)
    | ~ hskp46 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1024,plain,
    ( ~ spl0_45
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f216,f1021,f547]) ).

fof(f547,plain,
    ( spl0_45
  <=> hskp52 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f216,plain,
    ( ~ c2_1(a647)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1019,plain,
    ( ~ spl0_45
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f217,f1016,f547]) ).

fof(f217,plain,
    ( ~ c1_1(a647)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1014,plain,
    ( ~ spl0_45
    | spl0_140 ),
    inference(avatar_split_clause,[],[f218,f1011,f547]) ).

fof(f218,plain,
    ( c0_1(a647)
    | ~ hskp52 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1008,plain,
    ( ~ spl0_41
    | spl0_139 ),
    inference(avatar_split_clause,[],[f220,f1005,f531]) ).

fof(f531,plain,
    ( spl0_41
  <=> hskp53 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f220,plain,
    ( c3_1(a648)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1003,plain,
    ( ~ spl0_41
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f221,f1000,f531]) ).

fof(f221,plain,
    ( ~ c2_1(a648)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f998,plain,
    ( ~ spl0_41
    | spl0_137 ),
    inference(avatar_split_clause,[],[f222,f995,f531]) ).

fof(f222,plain,
    ( c0_1(a648)
    | ~ hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f987,plain,
    ( ~ spl0_40
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f225,f984,f526]) ).

fof(f526,plain,
    ( spl0_40
  <=> hskp54 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f225,plain,
    ( ~ c0_1(a651)
    | ~ hskp54 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f982,plain,
    ( ~ spl0_40
    | spl0_134 ),
    inference(avatar_split_clause,[],[f226,f979,f526]) ).

fof(f226,plain,
    ( c2_1(a651)
    | ~ hskp54 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_6
    | ~ spl0_133 ),
    inference(avatar_split_clause,[],[f228,f973,f387]) ).

fof(f387,plain,
    ( spl0_6
  <=> hskp55 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f228,plain,
    ( ~ c2_1(a653)
    | ~ hskp55 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f971,plain,
    ( ~ spl0_6
    | spl0_132 ),
    inference(avatar_split_clause,[],[f229,f968,f387]) ).

fof(f229,plain,
    ( c3_1(a653)
    | ~ hskp55 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f966,plain,
    ( ~ spl0_6
    | spl0_131 ),
    inference(avatar_split_clause,[],[f230,f963,f387]) ).

fof(f230,plain,
    ( c1_1(a653)
    | ~ hskp55 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f960,plain,
    ( ~ spl0_31
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f232,f957,f489]) ).

fof(f489,plain,
    ( spl0_31
  <=> hskp56 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f232,plain,
    ( ~ c1_1(a658)
    | ~ hskp56 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( ~ spl0_31
    | spl0_129 ),
    inference(avatar_split_clause,[],[f233,f952,f489]) ).

fof(f233,plain,
    ( c2_1(a658)
    | ~ hskp56 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f950,plain,
    ( ~ spl0_31
    | spl0_128 ),
    inference(avatar_split_clause,[],[f234,f947,f489]) ).

fof(f234,plain,
    ( c3_1(a658)
    | ~ hskp56 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_23
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f236,f941,f458]) ).

fof(f458,plain,
    ( spl0_23
  <=> hskp57 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f236,plain,
    ( ~ c0_1(a662)
    | ~ hskp57 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f939,plain,
    ( ~ spl0_23
    | spl0_126 ),
    inference(avatar_split_clause,[],[f237,f936,f458]) ).

fof(f237,plain,
    ( c1_1(a662)
    | ~ hskp57 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f934,plain,
    ( ~ spl0_23
    | spl0_125 ),
    inference(avatar_split_clause,[],[f238,f931,f458]) ).

fof(f238,plain,
    ( c2_1(a662)
    | ~ hskp57 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_21
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f240,f925,f449]) ).

fof(f449,plain,
    ( spl0_21
  <=> hskp58 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f240,plain,
    ( ~ c0_1(a663)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f923,plain,
    ( ~ spl0_21
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f241,f920,f449]) ).

fof(f241,plain,
    ( ~ c1_1(a663)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f918,plain,
    ( ~ spl0_21
    | spl0_122 ),
    inference(avatar_split_clause,[],[f242,f915,f449]) ).

fof(f242,plain,
    ( c3_1(a663)
    | ~ hskp58 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f912,plain,
    ( ~ spl0_19
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f244,f909,f441]) ).

fof(f441,plain,
    ( spl0_19
  <=> hskp59 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f244,plain,
    ( ~ c0_1(a665)
    | ~ hskp59 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f907,plain,
    ( ~ spl0_19
    | spl0_120 ),
    inference(avatar_split_clause,[],[f245,f904,f441]) ).

fof(f245,plain,
    ( c2_1(a665)
    | ~ hskp59 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f902,plain,
    ( ~ spl0_19
    | spl0_119 ),
    inference(avatar_split_clause,[],[f246,f899,f441]) ).

fof(f246,plain,
    ( c3_1(a665)
    | ~ hskp59 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f896,plain,
    ( ~ spl0_15
    | spl0_118 ),
    inference(avatar_split_clause,[],[f248,f893,f424]) ).

fof(f424,plain,
    ( spl0_15
  <=> hskp60 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f248,plain,
    ( c0_1(a669)
    | ~ hskp60 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f891,plain,
    ( ~ spl0_15
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f249,f888,f424]) ).

fof(f249,plain,
    ( ~ c2_1(a669)
    | ~ hskp60 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f886,plain,
    ( ~ spl0_15
    | spl0_116 ),
    inference(avatar_split_clause,[],[f250,f883,f424]) ).

fof(f250,plain,
    ( c1_1(a669)
    | ~ hskp60 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_16
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f252,f877,f428]) ).

fof(f428,plain,
    ( spl0_16
  <=> hskp61 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f252,plain,
    ( ~ c1_1(a670)
    | ~ hskp61 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f875,plain,
    ( ~ spl0_16
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f253,f872,f428]) ).

fof(f253,plain,
    ( ~ c0_1(a670)
    | ~ hskp61 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f870,plain,
    ( ~ spl0_16
    | spl0_113 ),
    inference(avatar_split_clause,[],[f254,f867,f428]) ).

fof(f254,plain,
    ( c2_1(a670)
    | ~ hskp61 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_8
    | spl0_106 ),
    inference(avatar_split_clause,[],[f264,f829,f395]) ).

fof(f395,plain,
    ( spl0_8
  <=> hskp64 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f264,plain,
    ( c3_1(a673)
    | ~ hskp64 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f827,plain,
    ( ~ spl0_8
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f265,f824,f395]) ).

fof(f265,plain,
    ( ~ c0_1(a673)
    | ~ hskp64 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f822,plain,
    ( ~ spl0_8
    | spl0_104 ),
    inference(avatar_split_clause,[],[f266,f819,f395]) ).

fof(f266,plain,
    ( c1_1(a673)
    | ~ hskp64 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_9
    | spl0_103 ),
    inference(avatar_split_clause,[],[f268,f813,f399]) ).

fof(f399,plain,
    ( spl0_9
  <=> hskp65 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f268,plain,
    ( c2_1(a674)
    | ~ hskp65 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f811,plain,
    ( ~ spl0_9
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f269,f808,f399]) ).

fof(f269,plain,
    ( ~ c1_1(a674)
    | ~ hskp65 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f806,plain,
    ( ~ spl0_9
    | spl0_101 ),
    inference(avatar_split_clause,[],[f270,f803,f399]) ).

fof(f270,plain,
    ( c0_1(a674)
    | ~ hskp65 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f800,plain,
    ( ~ spl0_10
    | spl0_100 ),
    inference(avatar_split_clause,[],[f272,f797,f403]) ).

fof(f403,plain,
    ( spl0_10
  <=> hskp66 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f272,plain,
    ( c1_1(a675)
    | ~ hskp66 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f795,plain,
    ( ~ spl0_10
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f273,f792,f403]) ).

fof(f273,plain,
    ( ~ c2_1(a675)
    | ~ hskp66 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f790,plain,
    ( ~ spl0_10
    | spl0_98 ),
    inference(avatar_split_clause,[],[f274,f787,f403]) ).

fof(f274,plain,
    ( c3_1(a675)
    | ~ hskp66 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f785,plain,
    ( spl0_20
    | spl0_72
    | ~ spl0_3
    | spl0_97 ),
    inference(avatar_split_clause,[],[f335,f783,f376,f666,f446]) ).

fof(f335,plain,
    ! [X96,X94,X95] :
      ( c3_1(X94)
      | ~ c2_1(X94)
      | ~ c1_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | c0_1(X95)
      | ~ c2_1(X95)
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | c2_1(X96) ),
    inference(duplicate_literal_removal,[],[f275]) ).

fof(f275,plain,
    ! [X96,X94,X95] :
      ( c3_1(X94)
      | ~ c2_1(X94)
      | ~ c1_1(X94)
      | ~ ndr1_0
      | ~ c3_1(X95)
      | c0_1(X95)
      | ~ c2_1(X95)
      | ~ ndr1_0
      | ~ c0_1(X96)
      | ~ c3_1(X96)
      | c2_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f781,plain,
    ( spl0_95
    | ~ spl0_3
    | spl0_7
    | spl0_96 ),
    inference(avatar_split_clause,[],[f276,f778,f391,f376,f774]) ).

fof(f276,plain,
    ! [X93] :
      ( hskp1
      | c1_1(X93)
      | ~ c3_1(X93)
      | c0_1(X93)
      | ~ ndr1_0
      | hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f763,plain,
    ( spl0_38
    | spl0_72
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f336,f380,f376,f666,f518]) ).

fof(f336,plain,
    ! [X90,X91,X92] :
      ( ~ c2_1(X90)
      | c1_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | c0_1(X91)
      | c1_1(X92)
      | ~ c0_1(X92)
      | c2_1(X92) ),
    inference(duplicate_literal_removal,[],[f278]) ).

fof(f278,plain,
    ! [X90,X91,X92] :
      ( ~ c2_1(X90)
      | c1_1(X90)
      | ~ c0_1(X90)
      | ~ ndr1_0
      | ~ c2_1(X91)
      | ~ c3_1(X91)
      | c0_1(X91)
      | ~ ndr1_0
      | c1_1(X92)
      | ~ c0_1(X92)
      | c2_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f762,plain,
    ( spl0_17
    | spl0_33
    | ~ spl0_3
    | spl0_17 ),
    inference(avatar_split_clause,[],[f337,f433,f376,f497,f433]) ).

fof(f337,plain,
    ! [X88,X89,X87] :
      ( ~ c2_1(X87)
      | ~ c1_1(X87)
      | c0_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | c3_1(X88)
      | c0_1(X88)
      | ~ c2_1(X89)
      | c0_1(X89)
      | ~ c1_1(X89) ),
    inference(duplicate_literal_removal,[],[f279]) ).

fof(f279,plain,
    ! [X88,X89,X87] :
      ( ~ c2_1(X87)
      | ~ c1_1(X87)
      | c0_1(X87)
      | ~ ndr1_0
      | ~ c2_1(X88)
      | c3_1(X88)
      | c0_1(X88)
      | ~ ndr1_0
      | ~ c2_1(X89)
      | c0_1(X89)
      | ~ c1_1(X89)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f756,plain,
    ( spl0_28
    | spl0_91
    | spl0_68 ),
    inference(avatar_split_clause,[],[f281,f644,f753,f477]) ).

fof(f281,plain,
    ( hskp36
    | hskp4
    | hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f751,plain,
    ( spl0_47
    | ~ spl0_3
    | spl0_80
    | spl0_39 ),
    inference(avatar_split_clause,[],[f282,f522,f698,f376,f555]) ).

fof(f282,plain,
    ! [X84] :
      ( hskp37
      | ~ c3_1(X84)
      | ~ c2_1(X84)
      | ~ c0_1(X84)
      | ~ ndr1_0
      | hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( spl0_81
    | spl0_90
    | ~ spl0_3
    | spl0_89 ),
    inference(avatar_split_clause,[],[f339,f744,f376,f748,f702]) ).

fof(f339,plain,
    ! [X82,X83,X81] :
      ( c2_1(X81)
      | c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | c1_1(X82)
      | ~ c2_1(X82)
      | c1_1(X83)
      | c0_1(X83)
      | ~ c2_1(X83) ),
    inference(duplicate_literal_removal,[],[f283]) ).

fof(f283,plain,
    ! [X82,X83,X81] :
      ( c2_1(X81)
      | c1_1(X81)
      | c0_1(X81)
      | ~ ndr1_0
      | c3_1(X82)
      | c1_1(X82)
      | ~ c2_1(X82)
      | ~ ndr1_0
      | c1_1(X83)
      | c0_1(X83)
      | ~ c2_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f746,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_3
    | spl0_49 ),
    inference(avatar_split_clause,[],[f340,f564,f376,f744,f740]) ).

fof(f340,plain,
    ! [X80,X79] :
      ( c0_1(X79)
      | ~ c1_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c0_1(X80)
      | c1_1(X80)
      | c2_1(X80)
      | hskp38 ),
    inference(duplicate_literal_removal,[],[f284]) ).

fof(f284,plain,
    ! [X80,X79] :
      ( c0_1(X79)
      | ~ c1_1(X79)
      | ~ c3_1(X79)
      | ~ ndr1_0
      | c0_1(X80)
      | c1_1(X80)
      | c2_1(X80)
      | ~ ndr1_0
      | hskp38 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f738,plain,
    ( spl0_24
    | spl0_87
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f341,f462,f376,f735,f462]) ).

fof(f341,plain,
    ! [X78,X77] :
      ( ~ c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | hskp6
      | ~ c0_1(X78)
      | ~ c3_1(X78)
      | ~ c1_1(X78) ),
    inference(duplicate_literal_removal,[],[f285]) ).

fof(f285,plain,
    ! [X78,X77] :
      ( ~ c3_1(X77)
      | ~ c0_1(X77)
      | ~ c1_1(X77)
      | ~ ndr1_0
      | hskp6
      | ~ c0_1(X78)
      | ~ c3_1(X78)
      | ~ c1_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f724,plain,
    ( spl0_84
    | ~ spl0_3
    | spl0_13
    | spl0_63 ),
    inference(avatar_split_clause,[],[f287,f623,f416,f376,f721]) ).

fof(f287,plain,
    ! [X75] :
      ( hskp9
      | c3_1(X75)
      | c1_1(X75)
      | c2_1(X75)
      | ~ ndr1_0
      | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f719,plain,
    ( spl0_20
    | spl0_5
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f342,f601,f376,f384,f446]) ).

fof(f342,plain,
    ! [X72,X73,X74] :
      ( c2_1(X72)
      | c0_1(X72)
      | c3_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | c1_1(X73)
      | ~ c3_1(X73)
      | ~ c0_1(X74)
      | ~ c3_1(X74)
      | c2_1(X74) ),
    inference(duplicate_literal_removal,[],[f288]) ).

fof(f288,plain,
    ! [X72,X73,X74] :
      ( c2_1(X72)
      | c0_1(X72)
      | c3_1(X72)
      | ~ ndr1_0
      | ~ c0_1(X73)
      | c1_1(X73)
      | ~ c3_1(X73)
      | ~ ndr1_0
      | ~ c0_1(X74)
      | ~ c3_1(X74)
      | c2_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f713,plain,
    ( spl0_65
    | spl0_82
    | ~ spl0_3
    | spl0_13 ),
    inference(avatar_split_clause,[],[f343,f416,f376,f710,f632]) ).

fof(f343,plain,
    ! [X70,X69] :
      ( c3_1(X69)
      | c1_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | hskp11
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | ~ c3_1(X70) ),
    inference(duplicate_literal_removal,[],[f290]) ).

fof(f290,plain,
    ! [X70,X69] :
      ( c3_1(X69)
      | c1_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | hskp11
      | ~ c2_1(X70)
      | ~ c1_1(X70)
      | ~ c3_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f707,plain,
    ( spl0_46
    | spl0_22
    | ~ spl0_3
    | spl0_78 ),
    inference(avatar_split_clause,[],[f345,f691,f376,f453,f552]) ).

fof(f345,plain,
    ! [X65,X64] :
      ( c2_1(X64)
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0
      | hskp41
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ c1_1(X65) ),
    inference(duplicate_literal_removal,[],[f292]) ).

fof(f292,plain,
    ! [X65,X64] :
      ( c2_1(X64)
      | ~ c3_1(X64)
      | ~ c1_1(X64)
      | ~ ndr1_0
      | hskp41
      | c2_1(X65)
      | ~ c0_1(X65)
      | ~ c1_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f706,plain,
    ( spl0_25
    | spl0_7
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f346,f518,f376,f391,f466]) ).

fof(f346,plain,
    ! [X62,X63] :
      ( c1_1(X62)
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | c1_1(X63)
      | c0_1(X63)
      | hskp42 ),
    inference(duplicate_literal_removal,[],[f293]) ).

fof(f293,plain,
    ! [X62,X63] :
      ( c1_1(X62)
      | c2_1(X62)
      | ~ c0_1(X62)
      | ~ ndr1_0
      | ~ c3_1(X63)
      | c1_1(X63)
      | c0_1(X63)
      | ~ ndr1_0
      | hskp42 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f705,plain,
    ( spl0_30
    | spl0_4
    | ~ spl0_3
    | spl0_72 ),
    inference(avatar_split_clause,[],[f347,f666,f376,f380,f486]) ).

fof(f347,plain,
    ! [X59,X60,X61] :
      ( ~ c2_1(X59)
      | ~ c3_1(X59)
      | c0_1(X59)
      | ~ ndr1_0
      | c1_1(X60)
      | ~ c0_1(X60)
      | ~ c2_1(X60)
      | ~ c3_1(X61)
      | c2_1(X61)
      | c1_1(X61) ),
    inference(duplicate_literal_removal,[],[f294]) ).

fof(f294,plain,
    ! [X59,X60,X61] :
      ( ~ c2_1(X59)
      | ~ c3_1(X59)
      | c0_1(X59)
      | ~ ndr1_0
      | c1_1(X60)
      | ~ c0_1(X60)
      | ~ c2_1(X60)
      | ~ ndr1_0
      | ~ c3_1(X61)
      | c2_1(X61)
      | c1_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( spl0_17
    | spl0_81
    | ~ spl0_3
    | spl0_50 ),
    inference(avatar_split_clause,[],[f348,f568,f376,f702,f433]) ).

fof(f348,plain,
    ! [X58,X56,X57] :
      ( c1_1(X56)
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c0_1(X57)
      | c1_1(X57)
      | ~ c2_1(X57)
      | c0_1(X58)
      | ~ c1_1(X58)
      | ~ c2_1(X58) ),
    inference(duplicate_literal_removal,[],[f295]) ).

fof(f295,plain,
    ! [X58,X56,X57] :
      ( c1_1(X56)
      | ~ c3_1(X56)
      | ~ c2_1(X56)
      | ~ ndr1_0
      | c0_1(X57)
      | c1_1(X57)
      | ~ c2_1(X57)
      | ~ ndr1_0
      | c0_1(X58)
      | ~ c1_1(X58)
      | ~ c2_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f700,plain,
    ( spl0_79
    | spl0_67
    | ~ spl0_3
    | spl0_80 ),
    inference(avatar_split_clause,[],[f349,f698,f376,f640,f695]) ).

fof(f349,plain,
    ! [X54,X55,X53] :
      ( ~ c2_1(X53)
      | ~ c0_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | ~ c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ c2_1(X55) ),
    inference(duplicate_literal_removal,[],[f296]) ).

fof(f296,plain,
    ! [X54,X55,X53] :
      ( ~ c2_1(X53)
      | ~ c0_1(X53)
      | ~ c3_1(X53)
      | ~ ndr1_0
      | ~ c0_1(X54)
      | c3_1(X54)
      | ~ c2_1(X54)
      | ~ ndr1_0
      | ~ c1_1(X55)
      | ~ c0_1(X55)
      | ~ c2_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( spl0_72
    | ~ spl0_3
    | spl0_32
    | spl0_73 ),
    inference(avatar_split_clause,[],[f350,f669,f493,f376,f666]) ).

fof(f350,plain,
    ! [X50,X49] :
      ( hskp45
      | ~ c1_1(X49)
      | c3_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f299]) ).

fof(f299,plain,
    ! [X50,X49] :
      ( hskp45
      | ~ c1_1(X49)
      | c3_1(X49)
      | c2_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | ~ c3_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( spl0_70
    | spl0_71
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f300,f380,f376,f661,f657]) ).

fof(f300,plain,
    ! [X48] :
      ( ~ c0_1(X48)
      | c1_1(X48)
      | ~ c2_1(X48)
      | ~ ndr1_0
      | hskp15
      | hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( spl0_32
    | ~ spl0_3
    | spl0_5
    | spl0_69 ),
    inference(avatar_split_clause,[],[f352,f651,f384,f376,f493]) ).

fof(f352,plain,
    ! [X44,X43] :
      ( hskp46
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | c2_1(X44)
      | ~ c1_1(X44) ),
    inference(duplicate_literal_removal,[],[f302]) ).

fof(f302,plain,
    ! [X44,X43] :
      ( hskp46
      | ~ c3_1(X43)
      | ~ c0_1(X43)
      | c1_1(X43)
      | ~ ndr1_0
      | c3_1(X44)
      | c2_1(X44)
      | ~ c1_1(X44)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( spl0_13
    | spl0_13
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f353,f497,f376,f416,f416]) ).

fof(f353,plain,
    ! [X40,X41,X42] :
      ( c0_1(X40)
      | c3_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | c3_1(X41)
      | c2_1(X41)
      | c3_1(X42)
      | c1_1(X42)
      | c2_1(X42) ),
    inference(duplicate_literal_removal,[],[f303]) ).

fof(f303,plain,
    ! [X40,X41,X42] :
      ( c0_1(X40)
      | c3_1(X40)
      | ~ c2_1(X40)
      | ~ ndr1_0
      | c1_1(X41)
      | c3_1(X41)
      | c2_1(X41)
      | ~ ndr1_0
      | c3_1(X42)
      | c1_1(X42)
      | c2_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f634,plain,
    ( spl0_65
    | spl0_65
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f356,f380,f376,f632,f632]) ).

fof(f356,plain,
    ! [X34,X35,X33] :
      ( ~ c0_1(X33)
      | ~ c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f307]) ).

fof(f307,plain,
    ! [X34,X35,X33] :
      ( ~ c0_1(X33)
      | ~ c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c1_1(X34)
      | ~ c2_1(X34)
      | ~ c3_1(X34)
      | ~ ndr1_0
      | ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f630,plain,
    ( spl0_62
    | spl0_63
    | spl0_64 ),
    inference(avatar_split_clause,[],[f308,f627,f623,f619]) ).

fof(f308,plain,
    ( hskp19
    | hskp9
    | hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( spl0_50
    | ~ spl0_3
    | spl0_44
    | spl0_61 ),
    inference(avatar_split_clause,[],[f357,f614,f544,f376,f568]) ).

fof(f357,plain,
    ! [X31,X32] :
      ( hskp20
      | ~ c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | c1_1(X32)
      | ~ c2_1(X32) ),
    inference(duplicate_literal_removal,[],[f309]) ).

fof(f309,plain,
    ! [X31,X32] :
      ( hskp20
      | ~ c0_1(X31)
      | c2_1(X31)
      | c3_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | c1_1(X32)
      | ~ c2_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f603,plain,
    ( spl0_58
    | spl0_26
    | ~ spl0_3
    | spl0_58 ),
    inference(avatar_split_clause,[],[f358,f601,f376,f470,f601]) ).

fof(f358,plain,
    ! [X28,X29,X27] :
      ( c2_1(X27)
      | c0_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | c1_1(X28)
      | c3_1(X28)
      | c3_1(X29)
      | c0_1(X29)
      | c2_1(X29) ),
    inference(duplicate_literal_removal,[],[f311]) ).

fof(f311,plain,
    ! [X28,X29,X27] :
      ( c2_1(X27)
      | c0_1(X27)
      | c3_1(X27)
      | ~ ndr1_0
      | c0_1(X28)
      | c1_1(X28)
      | c3_1(X28)
      | ~ ndr1_0
      | c3_1(X29)
      | c0_1(X29)
      | c2_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f558,plain,
    ( spl0_46
    | ~ spl0_3
    | spl0_30
    | spl0_47 ),
    inference(avatar_split_clause,[],[f360,f555,f486,f376,f552]) ).

fof(f360,plain,
    ! [X21,X20] :
      ( hskp5
      | ~ c3_1(X20)
      | c1_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | c2_1(X21)
      | ~ c1_1(X21)
      | ~ c0_1(X21) ),
    inference(duplicate_literal_removal,[],[f316]) ).

fof(f316,plain,
    ! [X21,X20] :
      ( hskp5
      | ~ c3_1(X20)
      | c1_1(X20)
      | c2_1(X20)
      | ~ ndr1_0
      | c2_1(X21)
      | ~ c1_1(X21)
      | ~ c0_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f550,plain,
    ( spl0_43
    | ~ spl0_3
    | spl0_44
    | spl0_45 ),
    inference(avatar_split_clause,[],[f317,f547,f544,f376,f540]) ).

fof(f317,plain,
    ! [X19] :
      ( hskp52
      | ~ c0_1(X19)
      | c2_1(X19)
      | c3_1(X19)
      | ~ ndr1_0
      | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( spl0_41
    | spl0_42
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f318,f391,f376,f535,f531]) ).

fof(f318,plain,
    ! [X18] :
      ( ~ c3_1(X18)
      | c1_1(X18)
      | c0_1(X18)
      | ~ ndr1_0
      | hskp17
      | hskp53 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( spl0_39
    | spl0_40
    | ~ spl0_3
    | spl0_33 ),
    inference(avatar_split_clause,[],[f319,f497,f376,f526,f522]) ).

fof(f319,plain,
    ! [X17] :
      ( c0_1(X17)
      | ~ c2_1(X17)
      | c3_1(X17)
      | ~ ndr1_0
      | hskp54
      | hskp37 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( spl0_37
    | spl0_6
    | ~ spl0_3
    | spl0_38 ),
    inference(avatar_split_clause,[],[f320,f518,f376,f387,f514]) ).

fof(f320,plain,
    ! [X16] :
      ( c2_1(X16)
      | ~ c0_1(X16)
      | c1_1(X16)
      | ~ ndr1_0
      | hskp55
      | hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_30
    | spl0_31
    | ~ spl0_3
    | spl0_32 ),
    inference(avatar_split_clause,[],[f362,f493,f376,f489,f486]) ).

fof(f362,plain,
    ! [X12,X13] :
      ( c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0
      | hskp56
      | ~ c3_1(X13)
      | c1_1(X13)
      | c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f323]) ).

fof(f323,plain,
    ! [X12,X13] :
      ( c3_1(X12)
      | ~ c1_1(X12)
      | c2_1(X12)
      | ~ ndr1_0
      | hskp56
      | ~ c3_1(X13)
      | c1_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_23
    | spl0_5
    | ~ spl0_3
    | spl0_24 ),
    inference(avatar_split_clause,[],[f364,f462,f376,f384,f458]) ).

fof(f364,plain,
    ! [X8,X7] :
      ( ~ c3_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X8)
      | ~ c3_1(X8)
      | c1_1(X8)
      | hskp57 ),
    inference(duplicate_literal_removal,[],[f326]) ).

fof(f326,plain,
    ! [X8,X7] :
      ( ~ c3_1(X7)
      | ~ c1_1(X7)
      | ~ c0_1(X7)
      | ~ ndr1_0
      | ~ c0_1(X8)
      | ~ c3_1(X8)
      | c1_1(X8)
      | ~ ndr1_0
      | hskp57 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f456,plain,
    ( ~ spl0_3
    | spl0_20
    | spl0_21
    | spl0_22 ),
    inference(avatar_split_clause,[],[f327,f453,f449,f446,f376]) ).

fof(f327,plain,
    ! [X6] :
      ( hskp41
      | hskp58
      | ~ c0_1(X6)
      | ~ c3_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_19
    | spl0_2 ),
    inference(avatar_split_clause,[],[f328,f372,f441]) ).

fof(f328,plain,
    ( hskp30
    | hskp59 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( spl0_14
    | spl0_15
    | spl0_16 ),
    inference(avatar_split_clause,[],[f330,f428,f424,f420]) ).

fof(f330,plain,
    ( hskp61
    | hskp60
    | hskp33 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_8
    | spl0_9
    | spl0_10 ),
    inference(avatar_split_clause,[],[f332,f403,f399,f395]) ).

fof(f332,plain,
    ( hskp66
    | hskp65
    | hskp64 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f393,plain,
    ( spl0_5
    | spl0_6
    | ~ spl0_3
    | spl0_7 ),
    inference(avatar_split_clause,[],[f366,f391,f376,f387,f384]) ).

fof(f366,plain,
    ! [X2,X1] :
      ( ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | hskp55
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c3_1(X2) ),
    inference(duplicate_literal_removal,[],[f333]) ).

fof(f333,plain,
    ! [X2,X1] :
      ( ~ c3_1(X1)
      | c0_1(X1)
      | c1_1(X1)
      | ~ ndr1_0
      | hskp55
      | c1_1(X2)
      | ~ c0_1(X2)
      | ~ c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f382,plain,
    ( spl0_1
    | spl0_2
    | ~ spl0_3
    | spl0_4 ),
    inference(avatar_split_clause,[],[f334,f380,f376,f372,f368]) ).

fof(f334,plain,
    ! [X0] :
      ( ~ c2_1(X0)
      | ~ c0_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | hskp30
      | hskp32 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN440+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n031.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   : Tue Apr 30 02:21:43 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (25767)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.38  % (25771)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.38  % (25769)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.38  % (25768)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  % (25773)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.38  % (25770)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.38  % (25772)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.38  % (25774)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [67]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [67]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [2]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [67]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [67]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [3]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [4]
% 0.20/0.42  TRYING [5]
% 0.20/0.43  TRYING [5]
% 0.20/0.43  TRYING [5]
% 0.20/0.43  TRYING [5]
% 0.20/0.48  % (25773)First to succeed.
% 0.20/0.50  % (25773)Refutation found. Thanks to Tanya!
% 0.20/0.50  % SZS status Theorem for theBenchmark
% 0.20/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.51  % (25773)------------------------------
% 0.20/0.51  % (25773)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.51  % (25773)Termination reason: Refutation
% 0.20/0.51  
% 0.20/0.51  % (25773)Memory used [KB]: 3274
% 0.20/0.51  % (25773)Time elapsed: 0.121 s
% 0.20/0.51  % (25773)Instructions burned: 207 (million)
% 0.20/0.51  % (25773)------------------------------
% 0.20/0.51  % (25773)------------------------------
% 0.20/0.51  % (25767)Success in time 0.148 s
%------------------------------------------------------------------------------