TSTP Solution File: SYN486+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN486+1 : TPTP v8.2.0. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : n006.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 May 21 08:23:08 EDT 2024

% Result   : Theorem 0.60s 0.79s
% Output   : Refutation 0.60s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  139
% Syntax   : Number of formulae    :  597 (   1 unt;   0 def)
%            Number of atoms       : 6592 (   0 equ)
%            Maximal formula atoms :  757 (  11 avg)
%            Number of connectives : 8878 (2883   ~;4163   |;1194   &)
%                                         ( 138 <=>; 500  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  113 (   6 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  175 ( 174 usr; 171 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  936 ( 936   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2179,plain,
    $false,
    inference(avatar_sat_refutation,[],[f264,f277,f282,f304,f313,f318,f341,f366,f374,f383,f395,f408,f412,f425,f434,f439,f443,f449,f455,f459,f460,f464,f465,f471,f475,f479,f481,f492,f493,f494,f495,f500,f511,f517,f518,f520,f528,f530,f531,f536,f538,f542,f546,f548,f569,f574,f579,f585,f590,f595,f601,f606,f611,f617,f622,f627,f649,f654,f659,f665,f670,f675,f681,f686,f691,f745,f750,f755,f761,f766,f771,f777,f782,f787,f793,f798,f803,f809,f814,f819,f825,f830,f835,f836,f857,f862,f867,f873,f878,f883,f884,f889,f894,f899,f905,f910,f915,f937,f942,f947,f953,f958,f963,f969,f979,f985,f990,f995,f1001,f1006,f1011,f1017,f1022,f1027,f1033,f1038,f1043,f1044,f1051,f1062,f1099,f1102,f1108,f1114,f1115,f1117,f1124,f1131,f1145,f1154,f1177,f1206,f1207,f1216,f1217,f1273,f1284,f1285,f1288,f1293,f1319,f1334,f1335,f1384,f1387,f1432,f1443,f1448,f1466,f1484,f1494,f1498,f1520,f1521,f1570,f1571,f1606,f1610,f1659,f1671,f1694,f1711,f1774,f1777,f1801,f1834,f1907,f1911,f1981,f1982,f2000,f2030,f2034,f2119,f2121,f2151,f2154,f2159,f2161,f2171,f2178]) ).

fof(f2178,plain,
    ( ~ spl0_83
    | spl0_82
    | ~ spl0_62
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f2177,f656,f540,f646,f651]) ).

fof(f651,plain,
    ( spl0_83
  <=> c3_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f646,plain,
    ( spl0_82
  <=> c0_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_82])]) ).

fof(f540,plain,
    ( spl0_62
  <=> ! [X114] :
        ( ~ c3_1(X114)
        | c0_1(X114)
        | ~ c1_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f656,plain,
    ( spl0_84
  <=> c1_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f2177,plain,
    ( c0_1(a2262)
    | ~ c3_1(a2262)
    | ~ spl0_62
    | ~ spl0_84 ),
    inference(resolution,[],[f658,f541]) ).

fof(f541,plain,
    ( ! [X114] :
        ( ~ c1_1(X114)
        | c0_1(X114)
        | ~ c3_1(X114) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f540]) ).

fof(f658,plain,
    ( c1_1(a2262)
    | ~ spl0_84 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f2171,plain,
    ( ~ spl0_176
    | spl0_77
    | ~ spl0_62
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f2169,f624,f540,f619,f1463]) ).

fof(f1463,plain,
    ( spl0_176
  <=> c3_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_176])]) ).

fof(f619,plain,
    ( spl0_77
  <=> c0_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f624,plain,
    ( spl0_78
  <=> c1_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f2169,plain,
    ( c0_1(a2268)
    | ~ c3_1(a2268)
    | ~ spl0_62
    | ~ spl0_78 ),
    inference(resolution,[],[f626,f541]) ).

fof(f626,plain,
    ( c1_1(a2268)
    | ~ spl0_78 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f2161,plain,
    ( ~ spl0_159
    | spl0_116
    | ~ spl0_41
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f2055,f832,f427,f827,f1067]) ).

fof(f1067,plain,
    ( spl0_159
  <=> c2_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f827,plain,
    ( spl0_116
  <=> c1_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f427,plain,
    ( spl0_41
  <=> ! [X19] :
        ( ~ c2_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f832,plain,
    ( spl0_117
  <=> c0_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f2055,plain,
    ( c1_1(a2191)
    | ~ c2_1(a2191)
    | ~ spl0_41
    | ~ spl0_117 ),
    inference(resolution,[],[f428,f834]) ).

fof(f834,plain,
    ( c0_1(a2191)
    | ~ spl0_117 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f428,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19)
        | ~ c2_1(X19) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f427]) ).

fof(f2159,plain,
    ( spl0_86
    | spl0_87
    | ~ spl0_63
    | spl0_85 ),
    inference(avatar_split_clause,[],[f2146,f662,f544,f672,f667]) ).

fof(f667,plain,
    ( spl0_86
  <=> c1_1(a2248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f672,plain,
    ( spl0_87
  <=> c0_1(a2248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f544,plain,
    ( spl0_63
  <=> ! [X118] :
        ( c2_1(X118)
        | c0_1(X118)
        | c1_1(X118) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f662,plain,
    ( spl0_85
  <=> c2_1(a2248) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f2146,plain,
    ( c0_1(a2248)
    | c1_1(a2248)
    | ~ spl0_63
    | spl0_85 ),
    inference(resolution,[],[f545,f664]) ).

fof(f664,plain,
    ( ~ c2_1(a2248)
    | spl0_85 ),
    inference(avatar_component_clause,[],[f662]) ).

fof(f545,plain,
    ( ! [X118] :
        ( c2_1(X118)
        | c0_1(X118)
        | c1_1(X118) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f544]) ).

fof(f2154,plain,
    ( spl0_108
    | spl0_174
    | ~ spl0_63
    | spl0_107 ),
    inference(avatar_split_clause,[],[f2141,f779,f544,f1429,f784]) ).

fof(f784,plain,
    ( spl0_108
  <=> c1_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_108])]) ).

fof(f1429,plain,
    ( spl0_174
  <=> c0_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f779,plain,
    ( spl0_107
  <=> c2_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2141,plain,
    ( c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_63
    | spl0_107 ),
    inference(resolution,[],[f545,f781]) ).

fof(f781,plain,
    ( ~ c2_1(a2195)
    | spl0_107 ),
    inference(avatar_component_clause,[],[f779]) ).

fof(f2151,plain,
    ( spl0_146
    | spl0_147
    | ~ spl0_63
    | spl0_185 ),
    inference(avatar_split_clause,[],[f2138,f1771,f544,f992,f987]) ).

fof(f987,plain,
    ( spl0_146
  <=> c1_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f992,plain,
    ( spl0_147
  <=> c0_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f1771,plain,
    ( spl0_185
  <=> c2_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_185])]) ).

fof(f2138,plain,
    ( c0_1(a2177)
    | c1_1(a2177)
    | ~ spl0_63
    | spl0_185 ),
    inference(resolution,[],[f545,f1773]) ).

fof(f1773,plain,
    ( ~ c2_1(a2177)
    | spl0_185 ),
    inference(avatar_component_clause,[],[f1771]) ).

fof(f2121,plain,
    ( spl0_108
    | spl0_174
    | ~ spl0_61
    | spl0_106 ),
    inference(avatar_split_clause,[],[f2107,f774,f534,f1429,f784]) ).

fof(f534,plain,
    ( spl0_61
  <=> ! [X108] :
        ( c3_1(X108)
        | c0_1(X108)
        | c1_1(X108) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f774,plain,
    ( spl0_106
  <=> c3_1(a2195) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f2107,plain,
    ( c0_1(a2195)
    | c1_1(a2195)
    | ~ spl0_61
    | spl0_106 ),
    inference(resolution,[],[f535,f776]) ).

fof(f776,plain,
    ( ~ c3_1(a2195)
    | spl0_106 ),
    inference(avatar_component_clause,[],[f774]) ).

fof(f535,plain,
    ( ! [X108] :
        ( c3_1(X108)
        | c0_1(X108)
        | c1_1(X108) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f534]) ).

fof(f2119,plain,
    ( spl0_146
    | spl0_147
    | ~ spl0_61
    | spl0_145 ),
    inference(avatar_split_clause,[],[f2100,f982,f534,f992,f987]) ).

fof(f982,plain,
    ( spl0_145
  <=> c3_1(a2177) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f2100,plain,
    ( c0_1(a2177)
    | c1_1(a2177)
    | ~ spl0_61
    | spl0_145 ),
    inference(resolution,[],[f535,f984]) ).

fof(f984,plain,
    ( ~ c3_1(a2177)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f982]) ).

fof(f2034,plain,
    ( ~ spl0_69
    | spl0_165
    | ~ spl0_50
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1985,f571,f473,f1151,f576]) ).

fof(f576,plain,
    ( spl0_69
  <=> c1_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1151,plain,
    ( spl0_165
  <=> c0_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f473,plain,
    ( spl0_50
  <=> ! [X52] :
        ( ~ c2_1(X52)
        | c0_1(X52)
        | ~ c1_1(X52) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f571,plain,
    ( spl0_68
  <=> c2_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1985,plain,
    ( c0_1(a2196)
    | ~ c1_1(a2196)
    | ~ spl0_50
    | ~ spl0_68 ),
    inference(resolution,[],[f573,f474]) ).

fof(f474,plain,
    ( ! [X52] :
        ( ~ c2_1(X52)
        | c0_1(X52)
        | ~ c1_1(X52) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f473]) ).

fof(f573,plain,
    ( c2_1(a2196)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f571]) ).

fof(f2030,plain,
    ( ~ spl0_74
    | ~ spl0_160
    | ~ spl0_22
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f2028,f598,f347,f1077,f603]) ).

fof(f603,plain,
    ( spl0_74
  <=> c2_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f1077,plain,
    ( spl0_160
  <=> c1_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f347,plain,
    ( spl0_22
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f598,plain,
    ( spl0_73
  <=> c3_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f2028,plain,
    ( ~ c1_1(a2178)
    | ~ c2_1(a2178)
    | ~ spl0_22
    | ~ spl0_73 ),
    inference(resolution,[],[f348,f600]) ).

fof(f600,plain,
    ( c3_1(a2178)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f598]) ).

fof(f348,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_22 ),
    inference(avatar_component_clause,[],[f347]) ).

fof(f2000,plain,
    ( ~ spl0_111
    | spl0_167
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1999,f795,f423,f1203,f800]) ).

fof(f800,plain,
    ( spl0_111
  <=> c0_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1203,plain,
    ( spl0_167
  <=> c1_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f423,plain,
    ( spl0_40
  <=> ! [X18] :
        ( ~ c3_1(X18)
        | c1_1(X18)
        | ~ c0_1(X18) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f795,plain,
    ( spl0_110
  <=> c3_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f1999,plain,
    ( c1_1(a2194)
    | ~ c0_1(a2194)
    | ~ spl0_40
    | ~ spl0_110 ),
    inference(resolution,[],[f797,f424]) ).

fof(f424,plain,
    ( ! [X18] :
        ( ~ c3_1(X18)
        | c1_1(X18)
        | ~ c0_1(X18) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f423]) ).

fof(f797,plain,
    ( c3_1(a2194)
    | ~ spl0_110 ),
    inference(avatar_component_clause,[],[f795]) ).

fof(f1982,plain,
    ( ~ spl0_172
    | spl0_103
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1653,f763,f423,f758,f1331]) ).

fof(f1331,plain,
    ( spl0_172
  <=> c0_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f758,plain,
    ( spl0_103
  <=> c1_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f763,plain,
    ( spl0_104
  <=> c3_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f1653,plain,
    ( c1_1(a2197)
    | ~ c0_1(a2197)
    | ~ spl0_40
    | ~ spl0_104 ),
    inference(resolution,[],[f424,f765]) ).

fof(f765,plain,
    ( c3_1(a2197)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f763]) ).

fof(f1981,plain,
    ( ~ spl0_138
    | spl0_136
    | ~ spl0_31
    | ~ spl0_186 ),
    inference(avatar_split_clause,[],[f1973,f1904,f385,f934,f944]) ).

fof(f944,plain,
    ( spl0_138
  <=> c1_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f934,plain,
    ( spl0_136
  <=> c3_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f385,plain,
    ( spl0_31
  <=> ! [X8] :
        ( ~ c1_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1904,plain,
    ( spl0_186
  <=> c0_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_186])]) ).

fof(f1973,plain,
    ( c3_1(a2181)
    | ~ c1_1(a2181)
    | ~ spl0_31
    | ~ spl0_186 ),
    inference(resolution,[],[f1906,f386]) ).

fof(f386,plain,
    ( ! [X8] :
        ( ~ c0_1(X8)
        | c3_1(X8)
        | ~ c1_1(X8) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f385]) ).

fof(f1906,plain,
    ( c0_1(a2181)
    | ~ spl0_186 ),
    inference(avatar_component_clause,[],[f1904]) ).

fof(f1911,plain,
    ( ~ spl0_84
    | spl0_82
    | ~ spl0_50
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f1897,f1048,f473,f646,f656]) ).

fof(f1048,plain,
    ( spl0_157
  <=> c2_1(a2262) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f1897,plain,
    ( c0_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_50
    | ~ spl0_157 ),
    inference(resolution,[],[f474,f1049]) ).

fof(f1049,plain,
    ( c2_1(a2262)
    | ~ spl0_157 ),
    inference(avatar_component_clause,[],[f1048]) ).

fof(f1907,plain,
    ( ~ spl0_138
    | spl0_186
    | ~ spl0_50
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f1888,f939,f473,f1904,f944]) ).

fof(f939,plain,
    ( spl0_137
  <=> c2_1(a2181) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f1888,plain,
    ( c0_1(a2181)
    | ~ c1_1(a2181)
    | ~ spl0_50
    | ~ spl0_137 ),
    inference(resolution,[],[f474,f941]) ).

fof(f941,plain,
    ( c2_1(a2181)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f939]) ).

fof(f1834,plain,
    ( spl0_142
    | spl0_181
    | ~ spl0_44
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1828,f976,f441,f1603,f966]) ).

fof(f966,plain,
    ( spl0_142
  <=> c3_1(a2179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f1603,plain,
    ( spl0_181
  <=> c1_1(a2179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f441,plain,
    ( spl0_44
  <=> ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f976,plain,
    ( spl0_144
  <=> c0_1(a2179) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1828,plain,
    ( c1_1(a2179)
    | c3_1(a2179)
    | ~ spl0_44
    | ~ spl0_144 ),
    inference(resolution,[],[f978,f442]) ).

fof(f442,plain,
    ( ! [X27] :
        ( ~ c0_1(X27)
        | c1_1(X27)
        | c3_1(X27) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f978,plain,
    ( c0_1(a2179)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f1801,plain,
    ( ~ spl0_141
    | spl0_139
    | ~ spl0_40
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f1799,f955,f423,f950,f960]) ).

fof(f960,plain,
    ( spl0_141
  <=> c0_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f950,plain,
    ( spl0_139
  <=> c1_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f955,plain,
    ( spl0_140
  <=> c3_1(a2180) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f1799,plain,
    ( c1_1(a2180)
    | ~ c0_1(a2180)
    | ~ spl0_40
    | ~ spl0_140 ),
    inference(resolution,[],[f957,f424]) ).

fof(f957,plain,
    ( c3_1(a2180)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f955]) ).

fof(f1777,plain,
    ( ~ spl0_129
    | spl0_128
    | ~ spl0_59
    | spl0_127 ),
    inference(avatar_split_clause,[],[f1758,f886,f522,f891,f896]) ).

fof(f896,plain,
    ( spl0_129
  <=> c2_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f891,plain,
    ( spl0_128
  <=> c0_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f522,plain,
    ( spl0_59
  <=> ! [X97] :
        ( ~ c2_1(X97)
        | c0_1(X97)
        | c1_1(X97) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f886,plain,
    ( spl0_127
  <=> c1_1(a2185) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f1758,plain,
    ( c0_1(a2185)
    | ~ c2_1(a2185)
    | ~ spl0_59
    | spl0_127 ),
    inference(resolution,[],[f523,f888]) ).

fof(f888,plain,
    ( ~ c1_1(a2185)
    | spl0_127 ),
    inference(avatar_component_clause,[],[f886]) ).

fof(f523,plain,
    ( ! [X97] :
        ( c1_1(X97)
        | c0_1(X97)
        | ~ c2_1(X97) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f522]) ).

fof(f1774,plain,
    ( ~ spl0_185
    | spl0_147
    | ~ spl0_59
    | spl0_146 ),
    inference(avatar_split_clause,[],[f1755,f987,f522,f992,f1771]) ).

fof(f1755,plain,
    ( c0_1(a2177)
    | ~ c2_1(a2177)
    | ~ spl0_59
    | spl0_146 ),
    inference(resolution,[],[f523,f989]) ).

fof(f989,plain,
    ( ~ c1_1(a2177)
    | spl0_146 ),
    inference(avatar_component_clause,[],[f987]) ).

fof(f1711,plain,
    ( ~ spl0_123
    | spl0_121
    | ~ spl0_40
    | ~ spl0_175 ),
    inference(avatar_split_clause,[],[f1709,f1445,f423,f854,f864]) ).

fof(f864,plain,
    ( spl0_123
  <=> c0_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f854,plain,
    ( spl0_121
  <=> c1_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f1445,plain,
    ( spl0_175
  <=> c3_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_175])]) ).

fof(f1709,plain,
    ( c1_1(a2187)
    | ~ c0_1(a2187)
    | ~ spl0_40
    | ~ spl0_175 ),
    inference(resolution,[],[f1447,f424]) ).

fof(f1447,plain,
    ( c3_1(a2187)
    | ~ spl0_175 ),
    inference(avatar_component_clause,[],[f1445]) ).

fof(f1694,plain,
    ( spl0_106
    | spl0_108
    | ~ spl0_47
    | spl0_107 ),
    inference(avatar_split_clause,[],[f1685,f779,f457,f784,f774]) ).

fof(f457,plain,
    ( spl0_47
  <=> ! [X37] :
        ( c3_1(X37)
        | c1_1(X37)
        | c2_1(X37) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f1685,plain,
    ( c1_1(a2195)
    | c3_1(a2195)
    | ~ spl0_47
    | spl0_107 ),
    inference(resolution,[],[f458,f781]) ).

fof(f458,plain,
    ( ! [X37] :
        ( c2_1(X37)
        | c1_1(X37)
        | c3_1(X37) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f457]) ).

fof(f1671,plain,
    ( spl0_106
    | spl0_108
    | ~ spl0_44
    | ~ spl0_174 ),
    inference(avatar_split_clause,[],[f1664,f1429,f441,f784,f774]) ).

fof(f1664,plain,
    ( c1_1(a2195)
    | c3_1(a2195)
    | ~ spl0_44
    | ~ spl0_174 ),
    inference(resolution,[],[f442,f1431]) ).

fof(f1431,plain,
    ( c0_1(a2195)
    | ~ spl0_174 ),
    inference(avatar_component_clause,[],[f1429]) ).

fof(f1659,plain,
    ( ~ spl0_75
    | spl0_160
    | ~ spl0_40
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1657,f598,f423,f1077,f608]) ).

fof(f608,plain,
    ( spl0_75
  <=> c0_1(a2178) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1657,plain,
    ( c1_1(a2178)
    | ~ c0_1(a2178)
    | ~ spl0_40
    | ~ spl0_73 ),
    inference(resolution,[],[f424,f600]) ).

fof(f1610,plain,
    ( ~ spl0_131
    | spl0_130
    | ~ spl0_31
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f1608,f912,f385,f902,f907]) ).

fof(f907,plain,
    ( spl0_131
  <=> c1_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f902,plain,
    ( spl0_130
  <=> c3_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f912,plain,
    ( spl0_132
  <=> c0_1(a2184) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f1608,plain,
    ( c3_1(a2184)
    | ~ c1_1(a2184)
    | ~ spl0_31
    | ~ spl0_132 ),
    inference(resolution,[],[f914,f386]) ).

fof(f914,plain,
    ( c0_1(a2184)
    | ~ spl0_132 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f1606,plain,
    ( ~ spl0_181
    | spl0_142
    | ~ spl0_31
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1600,f976,f385,f966,f1603]) ).

fof(f1600,plain,
    ( c3_1(a2179)
    | ~ c1_1(a2179)
    | ~ spl0_31
    | ~ spl0_144 ),
    inference(resolution,[],[f978,f386]) ).

fof(f1571,plain,
    ( ~ spl0_105
    | spl0_103
    | ~ spl0_39
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1568,f763,f419,f758,f768]) ).

fof(f768,plain,
    ( spl0_105
  <=> c2_1(a2197) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f419,plain,
    ( spl0_39
  <=> ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1568,plain,
    ( c1_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_39
    | ~ spl0_104 ),
    inference(resolution,[],[f765,f420]) ).

fof(f420,plain,
    ( ! [X17] :
        ( ~ c3_1(X17)
        | c1_1(X17)
        | ~ c2_1(X17) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f419]) ).

fof(f1570,plain,
    ( spl0_103
    | spl0_172
    | ~ spl0_58
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1567,f763,f513,f1331,f758]) ).

fof(f513,plain,
    ( spl0_58
  <=> ! [X84] :
        ( ~ c3_1(X84)
        | c0_1(X84)
        | c1_1(X84) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f1567,plain,
    ( c0_1(a2197)
    | c1_1(a2197)
    | ~ spl0_58
    | ~ spl0_104 ),
    inference(resolution,[],[f765,f514]) ).

fof(f514,plain,
    ( ! [X84] :
        ( ~ c3_1(X84)
        | c0_1(X84)
        | c1_1(X84) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f513]) ).

fof(f1521,plain,
    ( spl0_113
    | spl0_173
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1513,f816,f513,f1381,f811]) ).

fof(f811,plain,
    ( spl0_113
  <=> c1_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1381,plain,
    ( spl0_173
  <=> c0_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f816,plain,
    ( spl0_114
  <=> c3_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f1513,plain,
    ( c0_1(a2193)
    | c1_1(a2193)
    | ~ spl0_58
    | ~ spl0_114 ),
    inference(resolution,[],[f514,f818]) ).

fof(f818,plain,
    ( c3_1(a2193)
    | ~ spl0_114 ),
    inference(avatar_component_clause,[],[f816]) ).

fof(f1520,plain,
    ( spl0_124
    | spl0_125
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1512,f880,f513,f875,f870]) ).

fof(f870,plain,
    ( spl0_124
  <=> c1_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f875,plain,
    ( spl0_125
  <=> c0_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f880,plain,
    ( spl0_126
  <=> c3_1(a2186) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1512,plain,
    ( c0_1(a2186)
    | c1_1(a2186)
    | ~ spl0_58
    | ~ spl0_126 ),
    inference(resolution,[],[f514,f882]) ).

fof(f882,plain,
    ( c3_1(a2186)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f1498,plain,
    ( spl0_176
    | spl0_76
    | ~ spl0_37
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1469,f624,f410,f614,f1463]) ).

fof(f614,plain,
    ( spl0_76
  <=> c2_1(a2268) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f410,plain,
    ( spl0_37
  <=> ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | c3_1(X14) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_37])]) ).

fof(f1469,plain,
    ( c2_1(a2268)
    | c3_1(a2268)
    | ~ spl0_37
    | ~ spl0_78 ),
    inference(resolution,[],[f411,f626]) ).

fof(f411,plain,
    ( ! [X14] :
        ( ~ c1_1(X14)
        | c2_1(X14)
        | c3_1(X14) )
    | ~ spl0_37 ),
    inference(avatar_component_clause,[],[f410]) ).

fof(f1494,plain,
    ( ~ spl0_78
    | spl0_76
    | ~ spl0_51
    | ~ spl0_176 ),
    inference(avatar_split_clause,[],[f1489,f1463,f477,f614,f624]) ).

fof(f477,plain,
    ( spl0_51
  <=> ! [X53] :
        ( ~ c3_1(X53)
        | c2_1(X53)
        | ~ c1_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f1489,plain,
    ( c2_1(a2268)
    | ~ c1_1(a2268)
    | ~ spl0_51
    | ~ spl0_176 ),
    inference(resolution,[],[f478,f1465]) ).

fof(f1465,plain,
    ( c3_1(a2268)
    | ~ spl0_176 ),
    inference(avatar_component_clause,[],[f1463]) ).

fof(f478,plain,
    ( ! [X53] :
        ( ~ c3_1(X53)
        | c2_1(X53)
        | ~ c1_1(X53) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f477]) ).

fof(f1484,plain,
    ( ~ spl0_173
    | spl0_113
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1477,f816,f423,f811,f1381]) ).

fof(f1477,plain,
    ( c1_1(a2193)
    | ~ c0_1(a2193)
    | ~ spl0_40
    | ~ spl0_114 ),
    inference(resolution,[],[f424,f818]) ).

fof(f1466,plain,
    ( spl0_176
    | spl0_77
    | ~ spl0_54
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f1461,f624,f490,f619,f1463]) ).

fof(f490,plain,
    ( spl0_54
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | c3_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1461,plain,
    ( c0_1(a2268)
    | c3_1(a2268)
    | ~ spl0_54
    | ~ spl0_78 ),
    inference(resolution,[],[f626,f491]) ).

fof(f491,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | c3_1(X62) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f490]) ).

fof(f1448,plain,
    ( spl0_175
    | spl0_121
    | ~ spl0_44
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1439,f864,f441,f854,f1445]) ).

fof(f1439,plain,
    ( c1_1(a2187)
    | c3_1(a2187)
    | ~ spl0_44
    | ~ spl0_123 ),
    inference(resolution,[],[f866,f442]) ).

fof(f866,plain,
    ( c0_1(a2187)
    | ~ spl0_123 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f1443,plain,
    ( ~ spl0_122
    | spl0_121
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f1438,f864,f427,f854,f859]) ).

fof(f859,plain,
    ( spl0_122
  <=> c2_1(a2187) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f1438,plain,
    ( c1_1(a2187)
    | ~ c2_1(a2187)
    | ~ spl0_41
    | ~ spl0_123 ),
    inference(resolution,[],[f866,f428]) ).

fof(f1432,plain,
    ( spl0_107
    | spl0_174
    | ~ spl0_57
    | spl0_106 ),
    inference(avatar_split_clause,[],[f1420,f774,f508,f1429,f779]) ).

fof(f508,plain,
    ( spl0_57
  <=> ! [X81] :
        ( c3_1(X81)
        | c0_1(X81)
        | c2_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1420,plain,
    ( c0_1(a2195)
    | c2_1(a2195)
    | ~ spl0_57
    | spl0_106 ),
    inference(resolution,[],[f509,f776]) ).

fof(f509,plain,
    ( ! [X81] :
        ( c3_1(X81)
        | c0_1(X81)
        | c2_1(X81) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f1387,plain,
    ( spl0_157
    | spl0_82
    | ~ spl0_55
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1372,f651,f497,f646,f1048]) ).

fof(f497,plain,
    ( spl0_55
  <=> ! [X71] :
        ( ~ c3_1(X71)
        | c0_1(X71)
        | c2_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1372,plain,
    ( c0_1(a2262)
    | c2_1(a2262)
    | ~ spl0_55
    | ~ spl0_83 ),
    inference(resolution,[],[f498,f653]) ).

fof(f653,plain,
    ( c3_1(a2262)
    | ~ spl0_83 ),
    inference(avatar_component_clause,[],[f651]) ).

fof(f498,plain,
    ( ! [X71] :
        ( ~ c3_1(X71)
        | c0_1(X71)
        | c2_1(X71) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f1384,plain,
    ( spl0_112
    | spl0_173
    | ~ spl0_55
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f1369,f816,f497,f1381,f806]) ).

fof(f806,plain,
    ( spl0_112
  <=> c2_1(a2193) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1369,plain,
    ( c0_1(a2193)
    | c2_1(a2193)
    | ~ spl0_55
    | ~ spl0_114 ),
    inference(resolution,[],[f498,f818]) ).

fof(f1335,plain,
    ( ~ spl0_105
    | ~ spl0_172
    | ~ spl0_24
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1329,f763,f356,f1331,f768]) ).

fof(f356,plain,
    ( spl0_24
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f1329,plain,
    ( ~ c0_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_24
    | ~ spl0_104 ),
    inference(resolution,[],[f765,f357]) ).

fof(f357,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_24 ),
    inference(avatar_component_clause,[],[f356]) ).

fof(f1334,plain,
    ( ~ spl0_105
    | spl0_172
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f1327,f763,f462,f1331,f768]) ).

fof(f462,plain,
    ( spl0_48
  <=> ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | ~ c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1327,plain,
    ( c0_1(a2197)
    | ~ c2_1(a2197)
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(resolution,[],[f765,f463]) ).

fof(f463,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | ~ c2_1(X41) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f1319,plain,
    ( spl0_148
    | spl0_149
    | ~ spl0_54
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1311,f1008,f490,f1003,f998]) ).

fof(f998,plain,
    ( spl0_148
  <=> c3_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1003,plain,
    ( spl0_149
  <=> c0_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f1008,plain,
    ( spl0_150
  <=> c1_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f1311,plain,
    ( c0_1(a2176)
    | c3_1(a2176)
    | ~ spl0_54
    | ~ spl0_150 ),
    inference(resolution,[],[f491,f1010]) ).

fof(f1010,plain,
    ( c1_1(a2176)
    | ~ spl0_150 ),
    inference(avatar_component_clause,[],[f1008]) ).

fof(f1293,plain,
    ( ~ spl0_167
    | spl0_109
    | ~ spl0_33
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1291,f800,f393,f790,f1203]) ).

fof(f790,plain,
    ( spl0_109
  <=> c2_1(a2194) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f393,plain,
    ( spl0_33
  <=> ! [X9] :
        ( ~ c1_1(X9)
        | c2_1(X9)
        | ~ c0_1(X9) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f1291,plain,
    ( c2_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_33
    | ~ spl0_111 ),
    inference(resolution,[],[f394,f802]) ).

fof(f802,plain,
    ( c0_1(a2194)
    | ~ spl0_111 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f394,plain,
    ( ! [X9] :
        ( ~ c0_1(X9)
        | c2_1(X9)
        | ~ c1_1(X9) )
    | ~ spl0_33 ),
    inference(avatar_component_clause,[],[f393]) ).

fof(f1288,plain,
    ( ~ spl0_167
    | ~ spl0_111
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1265,f795,f368,f800,f1203]) ).

fof(f368,plain,
    ( spl0_27
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1265,plain,
    ( ~ c0_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_27
    | ~ spl0_110 ),
    inference(resolution,[],[f369,f797]) ).

fof(f369,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c1_1(X3) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f1285,plain,
    ( spl0_100
    | spl0_101
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f1283,f752,f447,f747,f742]) ).

fof(f742,plain,
    ( spl0_100
  <=> c2_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f747,plain,
    ( spl0_101
  <=> c1_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f447,plain,
    ( spl0_45
  <=> ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | c2_1(X31) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f752,plain,
    ( spl0_102
  <=> c0_1(a2198) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f1283,plain,
    ( c1_1(a2198)
    | c2_1(a2198)
    | ~ spl0_45
    | ~ spl0_102 ),
    inference(resolution,[],[f448,f754]) ).

fof(f754,plain,
    ( c0_1(a2198)
    | ~ spl0_102 ),
    inference(avatar_component_clause,[],[f752]) ).

fof(f448,plain,
    ( ! [X31] :
        ( ~ c0_1(X31)
        | c1_1(X31)
        | c2_1(X31) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f1284,plain,
    ( spl0_109
    | spl0_167
    | ~ spl0_45
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f1282,f800,f447,f1203,f790]) ).

fof(f1282,plain,
    ( c1_1(a2194)
    | c2_1(a2194)
    | ~ spl0_45
    | ~ spl0_111 ),
    inference(resolution,[],[f448,f802]) ).

fof(f1273,plain,
    ( ~ spl0_71
    | ~ spl0_72
    | ~ spl0_27
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1269,f1105,f368,f592,f587]) ).

fof(f587,plain,
    ( spl0_71
  <=> c1_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f592,plain,
    ( spl0_72
  <=> c0_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1105,plain,
    ( spl0_162
  <=> c3_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f1269,plain,
    ( ~ c0_1(a2188)
    | ~ c1_1(a2188)
    | ~ spl0_27
    | ~ spl0_162 ),
    inference(resolution,[],[f369,f1107]) ).

fof(f1107,plain,
    ( c3_1(a2188)
    | ~ spl0_162 ),
    inference(avatar_component_clause,[],[f1105]) ).

fof(f1217,plain,
    ( spl0_148
    | spl0_149
    | ~ spl0_52
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1211,f1128,f483,f1003,f998]) ).

fof(f483,plain,
    ( spl0_52
  <=> ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1128,plain,
    ( spl0_163
  <=> c2_1(a2176) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f1211,plain,
    ( c0_1(a2176)
    | c3_1(a2176)
    | ~ spl0_52
    | ~ spl0_163 ),
    inference(resolution,[],[f484,f1130]) ).

fof(f1130,plain,
    ( c2_1(a2176)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1128]) ).

fof(f484,plain,
    ( ! [X61] :
        ( ~ c2_1(X61)
        | c0_1(X61)
        | c3_1(X61) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f483]) ).

fof(f1216,plain,
    ( spl0_151
    | spl0_152
    | ~ spl0_52
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f1210,f1024,f483,f1019,f1014]) ).

fof(f1014,plain,
    ( spl0_151
  <=> c3_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1019,plain,
    ( spl0_152
  <=> c0_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_152])]) ).

fof(f1024,plain,
    ( spl0_153
  <=> c2_1(a2175) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f1210,plain,
    ( c0_1(a2175)
    | c3_1(a2175)
    | ~ spl0_52
    | ~ spl0_153 ),
    inference(resolution,[],[f484,f1026]) ).

fof(f1026,plain,
    ( c2_1(a2175)
    | ~ spl0_153 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1207,plain,
    ( ~ spl0_84
    | spl0_157
    | ~ spl0_51
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1197,f651,f477,f1048,f656]) ).

fof(f1197,plain,
    ( c2_1(a2262)
    | ~ c1_1(a2262)
    | ~ spl0_51
    | ~ spl0_83 ),
    inference(resolution,[],[f478,f653]) ).

fof(f1206,plain,
    ( ~ spl0_167
    | spl0_109
    | ~ spl0_51
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f1196,f795,f477,f790,f1203]) ).

fof(f1196,plain,
    ( c2_1(a2194)
    | ~ c1_1(a2194)
    | ~ spl0_51
    | ~ spl0_110 ),
    inference(resolution,[],[f478,f797]) ).

fof(f1177,plain,
    ( ~ spl0_156
    | spl0_154
    | ~ spl0_50
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f1171,f1035,f473,f1030,f1040]) ).

fof(f1040,plain,
    ( spl0_156
  <=> c1_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1030,plain,
    ( spl0_154
  <=> c0_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f1035,plain,
    ( spl0_155
  <=> c2_1(a2174) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f1171,plain,
    ( c0_1(a2174)
    | ~ c1_1(a2174)
    | ~ spl0_50
    | ~ spl0_155 ),
    inference(resolution,[],[f474,f1037]) ).

fof(f1037,plain,
    ( c2_1(a2174)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1035]) ).

fof(f1154,plain,
    ( ~ spl0_68
    | ~ spl0_165
    | ~ spl0_24
    | ~ spl0_67 ),
    inference(avatar_split_clause,[],[f1149,f566,f356,f1151,f571]) ).

fof(f566,plain,
    ( spl0_67
  <=> c3_1(a2196) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f1149,plain,
    ( ~ c0_1(a2196)
    | ~ c2_1(a2196)
    | ~ spl0_24
    | ~ spl0_67 ),
    inference(resolution,[],[f568,f357]) ).

fof(f568,plain,
    ( c3_1(a2196)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f566]) ).

fof(f1145,plain,
    ( ~ spl0_157
    | spl0_82
    | ~ spl0_48
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1135,f651,f462,f646,f1048]) ).

fof(f1135,plain,
    ( c0_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl0_48
    | ~ spl0_83 ),
    inference(resolution,[],[f463,f653]) ).

fof(f1131,plain,
    ( spl0_148
    | spl0_163
    | ~ spl0_37
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f1126,f1008,f410,f1128,f998]) ).

fof(f1126,plain,
    ( c2_1(a2176)
    | c3_1(a2176)
    | ~ spl0_37
    | ~ spl0_150 ),
    inference(resolution,[],[f1010,f411]) ).

fof(f1124,plain,
    ( spl0_159
    | spl0_116
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1122,f832,f447,f827,f1067]) ).

fof(f1122,plain,
    ( c1_1(a2191)
    | c2_1(a2191)
    | ~ spl0_45
    | ~ spl0_117 ),
    inference(resolution,[],[f448,f834]) ).

fof(f1117,plain,
    ( ~ spl0_70
    | ~ spl0_72
    | ~ spl0_24
    | ~ spl0_162 ),
    inference(avatar_split_clause,[],[f1116,f1105,f356,f592,f582]) ).

fof(f582,plain,
    ( spl0_70
  <=> c2_1(a2188) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1116,plain,
    ( ~ c0_1(a2188)
    | ~ c2_1(a2188)
    | ~ spl0_24
    | ~ spl0_162 ),
    inference(resolution,[],[f1107,f357]) ).

fof(f1115,plain,
    ( ~ spl0_70
    | spl0_162
    | ~ spl0_30
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1113,f592,f381,f1105,f582]) ).

fof(f381,plain,
    ( spl0_30
  <=> ! [X7] :
        ( ~ c2_1(X7)
        | c3_1(X7)
        | ~ c0_1(X7) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f1113,plain,
    ( c3_1(a2188)
    | ~ c2_1(a2188)
    | ~ spl0_30
    | ~ spl0_72 ),
    inference(resolution,[],[f594,f382]) ).

fof(f382,plain,
    ( ! [X7] :
        ( ~ c0_1(X7)
        | c3_1(X7)
        | ~ c2_1(X7) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f381]) ).

fof(f594,plain,
    ( c0_1(a2188)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f1114,plain,
    ( ~ spl0_71
    | spl0_162
    | ~ spl0_31
    | ~ spl0_72 ),
    inference(avatar_split_clause,[],[f1112,f592,f385,f1105,f587]) ).

fof(f1112,plain,
    ( c3_1(a2188)
    | ~ c1_1(a2188)
    | ~ spl0_31
    | ~ spl0_72 ),
    inference(resolution,[],[f594,f386]) ).

fof(f1108,plain,
    ( ~ spl0_71
    | spl0_162
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1103,f582,f372,f1105,f587]) ).

fof(f372,plain,
    ( spl0_28
  <=> ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f1103,plain,
    ( c3_1(a2188)
    | ~ c1_1(a2188)
    | ~ spl0_28
    | ~ spl0_70 ),
    inference(resolution,[],[f584,f373]) ).

fof(f373,plain,
    ( ! [X4] :
        ( ~ c2_1(X4)
        | c3_1(X4)
        | ~ c1_1(X4) )
    | ~ spl0_28 ),
    inference(avatar_component_clause,[],[f372]) ).

fof(f584,plain,
    ( c2_1(a2188)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f582]) ).

fof(f1102,plain,
    ( spl0_115
    | spl0_116
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f1101,f832,f441,f827,f822]) ).

fof(f822,plain,
    ( spl0_115
  <=> c3_1(a2191) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1101,plain,
    ( c1_1(a2191)
    | c3_1(a2191)
    | ~ spl0_44
    | ~ spl0_117 ),
    inference(resolution,[],[f442,f834]) ).

fof(f1099,plain,
    ( spl0_88
    | spl0_89
    | ~ spl0_43
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1097,f688,f437,f683,f678]) ).

fof(f678,plain,
    ( spl0_88
  <=> c3_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f683,plain,
    ( spl0_89
  <=> c1_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f437,plain,
    ( spl0_43
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f688,plain,
    ( spl0_90
  <=> c2_1(a2219) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1097,plain,
    ( c1_1(a2219)
    | c3_1(a2219)
    | ~ spl0_43
    | ~ spl0_90 ),
    inference(resolution,[],[f438,f690]) ).

fof(f690,plain,
    ( c2_1(a2219)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f438,plain,
    ( ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | c3_1(X26) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f437]) ).

fof(f1062,plain,
    ( ~ spl0_74
    | ~ spl0_75
    | ~ spl0_24
    | ~ spl0_73 ),
    inference(avatar_split_clause,[],[f1061,f598,f356,f608,f603]) ).

fof(f1061,plain,
    ( ~ c0_1(a2178)
    | ~ c2_1(a2178)
    | ~ spl0_24
    | ~ spl0_73 ),
    inference(resolution,[],[f600,f357]) ).

fof(f1051,plain,
    ( ~ spl0_157
    | ~ spl0_84
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f1046,f651,f347,f656,f1048]) ).

fof(f1046,plain,
    ( ~ c1_1(a2262)
    | ~ c2_1(a2262)
    | ~ spl0_22
    | ~ spl0_83 ),
    inference(resolution,[],[f348,f653]) ).

fof(f1044,plain,
    ( ~ spl0_13
    | spl0_21 ),
    inference(avatar_split_clause,[],[f7,f343,f306]) ).

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

fof(f343,plain,
    ( spl0_21
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

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

fof(f6,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X74] :
          ( ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c2_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c2_1(X111)
          | ~ c0_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ! [X119] :
          ( ~ c1_1(X119)
          | c3_1(X119)
          | c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c0_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( ! [X122] :
          ( ~ c3_1(X122)
          | ~ c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c2_1(X123)
          | c3_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c2_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c1_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ~ c2_1(X4)
          | ~ c1_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c2_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 )
      | ! [X6] :
          ( ~ c2_1(X6)
          | ~ c1_1(X6)
          | c3_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ~ c2_1(X7)
          | ~ c0_1(X7)
          | c3_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ~ c1_1(X9)
          | ~ c0_1(X9)
          | c2_1(X9)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c1_1(X10)
          | ~ c0_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X12] :
          ( ~ c1_1(X12)
          | ~ c0_1(X12)
          | c3_1(X12)
          | ~ ndr1_0 )
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ~ c1_1(X14)
          | c3_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ~ c1_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | ~ c0_1(X16)
          | ~ ndr1_0 )
      | ! [X17] :
          ( ~ c3_1(X17)
          | ~ c2_1(X17)
          | c1_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c0_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ~ c2_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c2_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 )
      | ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c1_1(X21)
          | ~ ndr1_0 ) )
    & ( hskp21
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c2_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c2_1(X23)
          | ~ c0_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c1_1(X25)
          | ~ c0_1(X25)
          | c3_1(X25)
          | ~ ndr1_0 )
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X29] :
          ( ~ c2_1(X29)
          | ~ c0_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c0_1(X30)
          | c3_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X31] :
          ( ~ c0_1(X31)
          | c2_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X33] :
          ( ~ c2_1(X33)
          | c3_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 )
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( ! [X35] :
          ( ~ c3_1(X35)
          | ~ c2_1(X35)
          | ~ c0_1(X35)
          | ~ ndr1_0 )
      | ! [X36] :
          ( ~ c3_1(X36)
          | ~ c0_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X38] :
          ( ~ c0_1(X38)
          | c3_1(X38)
          | c1_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( c3_1(X39)
          | c2_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X40] :
          ( ~ c3_1(X40)
          | ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X42] :
          ( ~ c1_1(X42)
          | ~ c0_1(X42)
          | c3_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c2_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( ! [X44] :
          ( ~ c0_1(X44)
          | c3_1(X44)
          | c2_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c2_1(X45)
          | c1_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X47] :
          ( ~ c0_1(X47)
          | c2_1(X47)
          | c1_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c2_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( ! [X49] :
          ( ~ c2_1(X49)
          | ~ c0_1(X49)
          | c3_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c0_1(X50)
          | c2_1(X50)
          | c1_1(X50)
          | ~ ndr1_0 )
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c2_1(X51)
          | c0_1(X51)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c1_1(X53)
          | c2_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c2_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X55] :
          ( ~ c1_1(X55)
          | c3_1(X55)
          | c2_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | ~ c1_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp18
      | ! [X57] :
          ( ~ c0_1(X57)
          | c3_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | ~ c1_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( ! [X59] :
          ( ~ c3_1(X59)
          | ~ c0_1(X59)
          | c2_1(X59)
          | ~ ndr1_0 )
      | ! [X60] :
          ( ~ c2_1(X60)
          | ~ c0_1(X60)
          | c1_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c2_1(X64)
          | ~ ndr1_0 )
      | ! [X65] :
          ( ~ c1_1(X65)
          | c3_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( ! [X66] :
          ( ~ c3_1(X66)
          | ~ c0_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c2_1(X67)
          | ~ c1_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 )
      | ! [X68] :
          ( ~ c1_1(X68)
          | c3_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( ! [X69] :
          ( ~ c3_1(X69)
          | ~ c2_1(X69)
          | ~ c1_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c0_1(X70)
          | c2_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c3_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X72] :
          ( ~ c1_1(X72)
          | ~ c0_1(X72)
          | c2_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X74] :
          ( ~ c0_1(X74)
          | c3_1(X74)
          | c2_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 ) )
    & ( hskp10
      | ! [X76] :
          ( ~ c2_1(X76)
          | c3_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c3_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X78] :
          ( ~ c3_1(X78)
          | ~ c2_1(X78)
          | c1_1(X78)
          | ~ ndr1_0 )
      | ! [X79] :
          ( ~ c1_1(X79)
          | c2_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X80] :
          ( ~ c3_1(X80)
          | ~ c2_1(X80)
          | ~ c0_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X82] :
          ( ~ c3_1(X82)
          | ~ c0_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( c3_1(X83)
          | c2_1(X83)
          | c0_1(X83)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X87] :
          ( ~ c3_1(X87)
          | ~ c1_1(X87)
          | c2_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( c3_1(X89)
          | c2_1(X89)
          | c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c2_1(X90)
          | ~ c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X92] :
          ( ~ c2_1(X92)
          | c3_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 )
      | ! [X93] :
          ( ~ c3_1(X93)
          | c1_1(X93)
          | c0_1(X93)
          | ~ ndr1_0 ) )
    & ( ! [X94] :
          ( ~ c1_1(X94)
          | c3_1(X94)
          | c2_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c1_1(X95)
          | c3_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 )
      | ! [X96] :
          ( ~ c3_1(X96)
          | c1_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X98] :
          ( ~ c3_1(X98)
          | ~ c2_1(X98)
          | ~ c1_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c2_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp27
      | ! [X100] :
          ( ~ c2_1(X100)
          | ~ c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 )
      | ! [X101] :
          ( ~ c2_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c3_1(X102)
          | ~ c1_1(X102)
          | ~ c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( ~ c2_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X105] :
          ( ~ c1_1(X105)
          | c2_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 )
      | ! [X106] :
          ( ~ c2_1(X106)
          | c1_1(X106)
          | c0_1(X106)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | ~ c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp1
      | ! [X109] :
          ( ~ c3_1(X109)
          | ~ c2_1(X109)
          | c1_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c2_1(X111)
          | ~ c0_1(X111)
          | c1_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( c3_1(X112)
          | c2_1(X112)
          | c1_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( ! [X114] :
          ( ~ c3_1(X114)
          | ~ c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 )
      | ! [X115] :
          ( ~ c2_1(X115)
          | c3_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 )
      | ! [X116] :
          ( c3_1(X116)
          | c1_1(X116)
          | c0_1(X116)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X117] :
          ( ~ c3_1(X117)
          | ~ c2_1(X117)
          | c1_1(X117)
          | ~ ndr1_0 )
      | ! [X118] :
          ( c2_1(X118)
          | c1_1(X118)
          | c0_1(X118)
          | ~ ndr1_0 ) )
    & ( ! [X119] :
          ( ~ c1_1(X119)
          | c3_1(X119)
          | c2_1(X119)
          | ~ ndr1_0 )
      | ! [X120] :
          ( ~ c3_1(X120)
          | ~ c0_1(X120)
          | c1_1(X120)
          | ~ ndr1_0 )
      | ! [X121] :
          ( c2_1(X121)
          | c1_1(X121)
          | c0_1(X121)
          | ~ ndr1_0 ) )
    & ( ! [X122] :
          ( ~ c3_1(X122)
          | ~ c2_1(X122)
          | c0_1(X122)
          | ~ ndr1_0 )
      | ! [X123] :
          ( ~ c2_1(X123)
          | c3_1(X123)
          | c0_1(X123)
          | ~ ndr1_0 )
      | ! [X124] :
          ( c2_1(X124)
          | c1_1(X124)
          | c0_1(X124)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp16
      | hskp3
      | hskp17 )
    & ( hskp9
      | hskp2
      | hskp24 )
    & ( hskp17
      | hskp26
      | hskp24 )
    & ( hskp22
      | hskp25
      | hskp21 )
    & ( hskp14
      | hskp24
      | hskp13 )
    & ( hskp10
      | hskp0
      | hskp13 )
    & ( hskp16
      | hskp3
      | hskp15 )
    & ( hskp16
      | hskp19
      | hskp5 )
    & ( hskp19
      | hskp2
      | hskp5 )
    & ( hskp23
      | hskp4
      | hskp8 )
    & ( hskp19
      | hskp13
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp16
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp1
      | hskp11
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp22
      | hskp27
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c1_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp22
      | hskp0
      | ! [X4] :
          ( ndr1_0
         => ( ~ c2_1(X4)
            | ~ c1_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp7
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c2_1(X5)
            | ~ c0_1(X5) ) )
      | ! [X6] :
          ( ndr1_0
         => ( ~ c2_1(X6)
            | ~ c1_1(X6)
            | c3_1(X6) ) ) )
    & ( hskp10
      | hskp11
      | ! [X7] :
          ( ndr1_0
         => ( ~ c2_1(X7)
            | ~ c0_1(X7)
            | c3_1(X7) ) ) )
    & ( hskp9
      | hskp29
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp10
      | hskp17
      | ! [X9] :
          ( ndr1_0
         => ( ~ c1_1(X9)
            | ~ c0_1(X9)
            | c2_1(X9) ) ) )
    & ( hskp12
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c1_1(X10)
            | ~ c0_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp18
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | ~ c0_1(X12)
            | c3_1(X12) ) )
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp16
      | hskp13
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | c3_1(X14)
            | c2_1(X14) ) ) )
    & ( hskp16
      | hskp20
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp27
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | ~ c0_1(X16) ) )
      | ! [X17] :
          ( ndr1_0
         => ( ~ c3_1(X17)
            | ~ c2_1(X17)
            | c1_1(X17) ) ) )
    & ( hskp16
      | hskp13
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c0_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp22
      | hskp28
      | ! [X19] :
          ( ndr1_0
         => ( ~ c2_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp10
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c2_1(X20)
            | c1_1(X20) ) )
      | ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c1_1(X21) ) ) )
    & ( hskp21
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c2_1(X22)
            | c1_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | ~ c0_1(X23)
            | c1_1(X23) ) ) )
    & ( ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c1_1(X25)
            | ~ c0_1(X25)
            | c3_1(X25) ) )
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp0
      | hskp15
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp20
      | hskp28
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp19
      | ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c0_1(X29)
            | c1_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c3_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp16
      | ! [X31] :
          ( ndr1_0
         => ( ~ c0_1(X31)
            | c2_1(X31)
            | c1_1(X31) ) ) )
    & ( hskp1
      | hskp30
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp2
      | ! [X33] :
          ( ndr1_0
         => ( ~ c2_1(X33)
            | c3_1(X33)
            | c1_1(X33) ) )
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( ! [X35] :
          ( ndr1_0
         => ( ~ c3_1(X35)
            | ~ c2_1(X35)
            | ~ c0_1(X35) ) )
      | ! [X36] :
          ( ndr1_0
         => ( ~ c3_1(X36)
            | ~ c0_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp28
      | ! [X38] :
          ( ndr1_0
         => ( ~ c0_1(X38)
            | c3_1(X38)
            | c1_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( c3_1(X39)
            | c2_1(X39)
            | c1_1(X39) ) ) )
    & ( hskp2
      | ! [X40] :
          ( ndr1_0
         => ( ~ c3_1(X40)
            | ~ c2_1(X40)
            | ~ c1_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp16
      | ! [X42] :
          ( ndr1_0
         => ( ~ c1_1(X42)
            | ~ c0_1(X42)
            | c3_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c2_1(X43)
            | c0_1(X43) ) ) )
    & ( ! [X44] :
          ( ndr1_0
         => ( ~ c0_1(X44)
            | c3_1(X44)
            | c2_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c2_1(X45)
            | c1_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp29
      | ! [X47] :
          ( ndr1_0
         => ( ~ c0_1(X47)
            | c2_1(X47)
            | c1_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c2_1(X48)
            | c0_1(X48) ) ) )
    & ( ! [X49] :
          ( ndr1_0
         => ( ~ c2_1(X49)
            | ~ c0_1(X49)
            | c3_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c0_1(X50)
            | c2_1(X50)
            | c1_1(X50) ) )
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c2_1(X51)
            | c0_1(X51) ) ) )
    & ( hskp3
      | hskp15
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp27
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c1_1(X53)
            | c2_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp2
      | ! [X55] :
          ( ndr1_0
         => ( ~ c1_1(X55)
            | c3_1(X55)
            | c2_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | ~ c1_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp18
      | ! [X57] :
          ( ndr1_0
         => ( ~ c0_1(X57)
            | c3_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | ~ c1_1(X58)
            | c0_1(X58) ) ) )
    & ( ! [X59] :
          ( ndr1_0
         => ( ~ c3_1(X59)
            | ~ c0_1(X59)
            | c2_1(X59) ) )
      | ! [X60] :
          ( ndr1_0
         => ( ~ c2_1(X60)
            | ~ c0_1(X60)
            | c1_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp17
      | hskp29
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp16
      | hskp15
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp14
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c2_1(X64) ) )
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c3_1(X65)
            | c0_1(X65) ) ) )
    & ( ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c0_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c2_1(X67)
            | ~ c1_1(X67)
            | c0_1(X67) ) )
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | c3_1(X68)
            | c0_1(X68) ) ) )
    & ( ! [X69] :
          ( ndr1_0
         => ( ~ c3_1(X69)
            | ~ c2_1(X69)
            | ~ c1_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c0_1(X70)
            | c2_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c3_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( hskp11
      | ! [X72] :
          ( ndr1_0
         => ( ~ c1_1(X72)
            | ~ c0_1(X72)
            | c2_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( hskp13
      | ! [X74] :
          ( ndr1_0
         => ( ~ c0_1(X74)
            | c3_1(X74)
            | c2_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c0_1(X75) ) ) )
    & ( hskp10
      | ! [X76] :
          ( ndr1_0
         => ( ~ c2_1(X76)
            | c3_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c3_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp12
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | ~ c2_1(X78)
            | c1_1(X78) ) )
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c2_1(X79)
            | c0_1(X79) ) ) )
    & ( hskp28
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | ~ c2_1(X80)
            | ~ c0_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp11
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | ~ c0_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( c3_1(X83)
            | c2_1(X83)
            | c0_1(X83) ) ) )
    & ( hskp10
      | hskp9
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp8
      | ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp0
      | ! [X87] :
          ( ndr1_0
         => ( ~ c3_1(X87)
            | ~ c1_1(X87)
            | c2_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( c3_1(X89)
            | c2_1(X89)
            | c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c2_1(X90)
            | ~ c1_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp7
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c3_1(X92)
            | c0_1(X92) ) )
      | ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | c1_1(X93)
            | c0_1(X93) ) ) )
    & ( ! [X94] :
          ( ndr1_0
         => ( ~ c1_1(X94)
            | c3_1(X94)
            | c2_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c1_1(X95)
            | c3_1(X95)
            | c0_1(X95) ) )
      | ! [X96] :
          ( ndr1_0
         => ( ~ c3_1(X96)
            | c1_1(X96)
            | c0_1(X96) ) ) )
    & ( hskp6
      | hskp5
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp4
      | ! [X98] :
          ( ndr1_0
         => ( ~ c3_1(X98)
            | ~ c2_1(X98)
            | ~ c1_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c2_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp27
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | ~ c1_1(X100)
            | c0_1(X100) ) )
      | ! [X101] :
          ( ndr1_0
         => ( ~ c2_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | ~ c1_1(X102)
            | ~ c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c1_1(X103)
            | c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( ~ c2_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp3
      | ! [X105] :
          ( ndr1_0
         => ( ~ c1_1(X105)
            | c2_1(X105)
            | c0_1(X105) ) )
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | c1_1(X106)
            | c0_1(X106) ) ) )
    & ( hskp2
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | ~ c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp1
      | ! [X109] :
          ( ndr1_0
         => ( ~ c3_1(X109)
            | ~ c2_1(X109)
            | c1_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c2_1(X111)
            | ~ c0_1(X111)
            | c1_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( c3_1(X112)
            | c2_1(X112)
            | c1_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( ! [X114] :
          ( ndr1_0
         => ( ~ c3_1(X114)
            | ~ c1_1(X114)
            | c0_1(X114) ) )
      | ! [X115] :
          ( ndr1_0
         => ( ~ c2_1(X115)
            | c3_1(X115)
            | c0_1(X115) ) )
      | ! [X116] :
          ( ndr1_0
         => ( c3_1(X116)
            | c1_1(X116)
            | c0_1(X116) ) ) )
    & ( hskp0
      | ! [X117] :
          ( ndr1_0
         => ( ~ c3_1(X117)
            | ~ c2_1(X117)
            | c1_1(X117) ) )
      | ! [X118] :
          ( ndr1_0
         => ( c2_1(X118)
            | c1_1(X118)
            | c0_1(X118) ) ) )
    & ( ! [X119] :
          ( ndr1_0
         => ( ~ c1_1(X119)
            | c3_1(X119)
            | c2_1(X119) ) )
      | ! [X120] :
          ( ndr1_0
         => ( ~ c3_1(X120)
            | ~ c0_1(X120)
            | c1_1(X120) ) )
      | ! [X121] :
          ( ndr1_0
         => ( c2_1(X121)
            | c1_1(X121)
            | c0_1(X121) ) ) )
    & ( ! [X122] :
          ( ndr1_0
         => ( ~ c3_1(X122)
            | ~ c2_1(X122)
            | c0_1(X122) ) )
      | ! [X123] :
          ( ndr1_0
         => ( ~ c2_1(X123)
            | c3_1(X123)
            | c0_1(X123) ) )
      | ! [X124] :
          ( ndr1_0
         => ( c2_1(X124)
            | c1_1(X124)
            | c0_1(X124) ) ) )
    & ( ( c3_1(a2208)
        & c1_1(a2208)
        & c0_1(a2208)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a2196)
        & c2_1(a2196)
        & c1_1(a2196)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a2188)
        & c1_1(a2188)
        & c0_1(a2188)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a2178)
        & c2_1(a2178)
        & c0_1(a2178)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c2_1(a2268)
        & ~ c0_1(a2268)
        & c1_1(a2268)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c2_1(a2265)
        & c3_1(a2265)
        & c1_1(a2265)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c0_1(a2262)
        & c3_1(a2262)
        & c1_1(a2262)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a2248)
        & ~ c1_1(a2248)
        & ~ c0_1(a2248)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a2219)
        & ~ c1_1(a2219)
        & c2_1(a2219)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c3_1(a2216)
        & ~ c2_1(a2216)
        & c0_1(a2216)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a2213)
        & c1_1(a2213)
        & c0_1(a2213)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a2211)
        & ~ c2_1(a2211)
        & ~ c0_1(a2211)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c2_1(a2198)
        & ~ c1_1(a2198)
        & c0_1(a2198)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c1_1(a2197)
        & c3_1(a2197)
        & c2_1(a2197)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c3_1(a2195)
        & ~ c2_1(a2195)
        & ~ c1_1(a2195)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c2_1(a2194)
        & c3_1(a2194)
        & c0_1(a2194)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a2193)
        & ~ c1_1(a2193)
        & c3_1(a2193)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a2191)
        & ~ c1_1(a2191)
        & c0_1(a2191)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c3_1(a2189)
        & ~ c2_1(a2189)
        & c1_1(a2189)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a2187)
        & c2_1(a2187)
        & c0_1(a2187)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c1_1(a2186)
        & ~ c0_1(a2186)
        & c3_1(a2186)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c1_1(a2185)
        & ~ c0_1(a2185)
        & c2_1(a2185)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a2184)
        & c1_1(a2184)
        & c0_1(a2184)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c0_1(a2182)
        & c3_1(a2182)
        & c2_1(a2182)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a2181)
        & c2_1(a2181)
        & c1_1(a2181)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a2180)
        & c3_1(a2180)
        & c0_1(a2180)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a2179)
        & c2_1(a2179)
        & c0_1(a2179)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a2177)
        & ~ c1_1(a2177)
        & ~ c0_1(a2177)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a2176)
        & ~ c0_1(a2176)
        & c1_1(a2176)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c3_1(a2175)
        & ~ c0_1(a2175)
        & c2_1(a2175)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c0_1(a2174)
        & c2_1(a2174)
        & c1_1(a2174)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp16
          | hskp3
          | hskp17 )
        & ( hskp9
          | hskp2
          | hskp24 )
        & ( hskp17
          | hskp26
          | hskp24 )
        & ( hskp22
          | hskp25
          | hskp21 )
        & ( hskp14
          | hskp24
          | hskp13 )
        & ( hskp10
          | hskp0
          | hskp13 )
        & ( hskp16
          | hskp3
          | hskp15 )
        & ( hskp16
          | hskp19
          | hskp5 )
        & ( hskp19
          | hskp2
          | hskp5 )
        & ( hskp23
          | hskp4
          | hskp8 )
        & ( hskp19
          | hskp13
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp16
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp1
          | hskp11
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp22
          | hskp27
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c1_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp22
          | hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c1_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp7
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c2_1(X5)
                | ~ c0_1(X5) ) )
          | ! [X6] :
              ( ndr1_0
             => ( ~ c2_1(X6)
                | ~ c1_1(X6)
                | c3_1(X6) ) ) )
        & ( hskp10
          | hskp11
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c0_1(X7)
                | c3_1(X7) ) ) )
        & ( hskp9
          | hskp29
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp10
          | hskp17
          | ! [X9] :
              ( ndr1_0
             => ( ~ c1_1(X9)
                | ~ c0_1(X9)
                | c2_1(X9) ) ) )
        & ( hskp12
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c1_1(X10)
                | ~ c0_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp18
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | ~ c0_1(X12)
                | c3_1(X12) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp16
          | hskp13
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | c3_1(X14)
                | c2_1(X14) ) ) )
        & ( hskp16
          | hskp20
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp27
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | ~ c0_1(X16) ) )
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | c1_1(X17) ) ) )
        & ( hskp16
          | hskp13
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c0_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp22
          | hskp28
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp10
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c2_1(X20)
                | c1_1(X20) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c1_1(X21) ) ) )
        & ( hskp21
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | c1_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | ~ c0_1(X23)
                | c1_1(X23) ) ) )
        & ( ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp0
          | hskp15
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp20
          | hskp28
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp19
          | ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c0_1(X29)
                | c1_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp16
          | ! [X31] :
              ( ndr1_0
             => ( ~ c0_1(X31)
                | c2_1(X31)
                | c1_1(X31) ) ) )
        & ( hskp1
          | hskp30
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp2
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c1_1(X33) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( ~ c3_1(X35)
                | ~ c2_1(X35)
                | ~ c0_1(X35) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c0_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp28
          | ! [X38] :
              ( ndr1_0
             => ( ~ c0_1(X38)
                | c3_1(X38)
                | c1_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( c3_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) ) )
        & ( hskp2
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | ~ c2_1(X40)
                | ~ c1_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp16
          | ! [X42] :
              ( ndr1_0
             => ( ~ c1_1(X42)
                | ~ c0_1(X42)
                | c3_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c2_1(X43)
                | c0_1(X43) ) ) )
        & ( ! [X44] :
              ( ndr1_0
             => ( ~ c0_1(X44)
                | c3_1(X44)
                | c2_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c1_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp29
          | ! [X47] :
              ( ndr1_0
             => ( ~ c0_1(X47)
                | c2_1(X47)
                | c1_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c2_1(X48)
                | c0_1(X48) ) ) )
        & ( ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | ~ c0_1(X49)
                | c3_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c2_1(X50)
                | c1_1(X50) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp3
          | hskp15
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp27
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c1_1(X53)
                | c2_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp2
          | ! [X55] :
              ( ndr1_0
             => ( ~ c1_1(X55)
                | c3_1(X55)
                | c2_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | ~ c1_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp18
          | ! [X57] :
              ( ndr1_0
             => ( ~ c0_1(X57)
                | c3_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c2_1(X59) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c0_1(X60)
                | c1_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp17
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp15
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp14
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c2_1(X64) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c3_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c0_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c2_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | c3_1(X68)
                | c0_1(X68) ) ) )
        & ( ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | ~ c1_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c0_1(X70)
                | c2_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp11
          | ! [X72] :
              ( ndr1_0
             => ( ~ c1_1(X72)
                | ~ c0_1(X72)
                | c2_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp13
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c3_1(X74)
                | c2_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c0_1(X75) ) ) )
        & ( hskp10
          | ! [X76] :
              ( ndr1_0
             => ( ~ c2_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c3_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp12
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c1_1(X78) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c2_1(X79)
                | c0_1(X79) ) ) )
        & ( hskp28
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | ~ c2_1(X80)
                | ~ c0_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp11
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | ~ c0_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( c3_1(X83)
                | c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp10
          | hskp9
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp8
          | ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp0
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | ~ c1_1(X87)
                | c2_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( c3_1(X89)
                | c2_1(X89)
                | c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | ~ c1_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp7
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c0_1(X92) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | c1_1(X93)
                | c0_1(X93) ) ) )
        & ( ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | c3_1(X95)
                | c0_1(X95) ) )
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | c1_1(X96)
                | c0_1(X96) ) ) )
        & ( hskp6
          | hskp5
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp4
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c2_1(X98)
                | ~ c1_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c2_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp27
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c1_1(X100)
                | c0_1(X100) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c1_1(X102)
                | ~ c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c2_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp3
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | c2_1(X105)
                | c0_1(X105) ) )
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | c1_1(X106)
                | c0_1(X106) ) ) )
        & ( hskp2
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp1
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | c1_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c2_1(X111)
                | ~ c0_1(X111)
                | c1_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( c3_1(X112)
                | c2_1(X112)
                | c1_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( ! [X114] :
              ( ndr1_0
             => ( ~ c3_1(X114)
                | ~ c1_1(X114)
                | c0_1(X114) ) )
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | c3_1(X115)
                | c0_1(X115) ) )
          | ! [X116] :
              ( ndr1_0
             => ( c3_1(X116)
                | c1_1(X116)
                | c0_1(X116) ) ) )
        & ( hskp0
          | ! [X117] :
              ( ndr1_0
             => ( ~ c3_1(X117)
                | ~ c2_1(X117)
                | c1_1(X117) ) )
          | ! [X118] :
              ( ndr1_0
             => ( c2_1(X118)
                | c1_1(X118)
                | c0_1(X118) ) ) )
        & ( ! [X119] :
              ( ndr1_0
             => ( ~ c1_1(X119)
                | c3_1(X119)
                | c2_1(X119) ) )
          | ! [X120] :
              ( ndr1_0
             => ( ~ c3_1(X120)
                | ~ c0_1(X120)
                | c1_1(X120) ) )
          | ! [X121] :
              ( ndr1_0
             => ( c2_1(X121)
                | c1_1(X121)
                | c0_1(X121) ) ) )
        & ( ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | c0_1(X122) ) )
          | ! [X123] :
              ( ndr1_0
             => ( ~ c2_1(X123)
                | c3_1(X123)
                | c0_1(X123) ) )
          | ! [X124] :
              ( ndr1_0
             => ( c2_1(X124)
                | c1_1(X124)
                | c0_1(X124) ) ) )
        & ( ( c3_1(a2208)
            & c1_1(a2208)
            & c0_1(a2208)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2196)
            & c2_1(a2196)
            & c1_1(a2196)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2188)
            & c1_1(a2188)
            & c0_1(a2188)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2178)
            & c2_1(a2178)
            & c0_1(a2178)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2268)
            & ~ c0_1(a2268)
            & c1_1(a2268)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2265)
            & c3_1(a2265)
            & c1_1(a2265)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a2262)
            & c3_1(a2262)
            & c1_1(a2262)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2248)
            & ~ c1_1(a2248)
            & ~ c0_1(a2248)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2219)
            & ~ c1_1(a2219)
            & c2_1(a2219)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2216)
            & ~ c2_1(a2216)
            & c0_1(a2216)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2213)
            & c1_1(a2213)
            & c0_1(a2213)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2211)
            & ~ c2_1(a2211)
            & ~ c0_1(a2211)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2198)
            & ~ c1_1(a2198)
            & c0_1(a2198)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2197)
            & c3_1(a2197)
            & c2_1(a2197)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2195)
            & ~ c2_1(a2195)
            & ~ c1_1(a2195)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2194)
            & c3_1(a2194)
            & c0_1(a2194)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2193)
            & ~ c1_1(a2193)
            & c3_1(a2193)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2191)
            & ~ c1_1(a2191)
            & c0_1(a2191)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2189)
            & ~ c2_1(a2189)
            & c1_1(a2189)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a2187)
            & c2_1(a2187)
            & c0_1(a2187)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2186)
            & ~ c0_1(a2186)
            & c3_1(a2186)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2185)
            & ~ c0_1(a2185)
            & c2_1(a2185)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2184)
            & c1_1(a2184)
            & c0_1(a2184)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a2182)
            & c3_1(a2182)
            & c2_1(a2182)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2181)
            & c2_1(a2181)
            & c1_1(a2181)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a2180)
            & c3_1(a2180)
            & c0_1(a2180)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2179)
            & c2_1(a2179)
            & c0_1(a2179)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2177)
            & ~ c1_1(a2177)
            & ~ c0_1(a2177)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2176)
            & ~ c0_1(a2176)
            & c1_1(a2176)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2175)
            & ~ c0_1(a2175)
            & c2_1(a2175)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2174)
            & c2_1(a2174)
            & c1_1(a2174)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp16
          | hskp3
          | hskp17 )
        & ( hskp9
          | hskp2
          | hskp24 )
        & ( hskp17
          | hskp26
          | hskp24 )
        & ( hskp22
          | hskp25
          | hskp21 )
        & ( hskp14
          | hskp24
          | hskp13 )
        & ( hskp10
          | hskp0
          | hskp13 )
        & ( hskp16
          | hskp3
          | hskp15 )
        & ( hskp16
          | hskp19
          | hskp5 )
        & ( hskp19
          | hskp2
          | hskp5 )
        & ( hskp23
          | hskp4
          | hskp8 )
        & ( hskp19
          | hskp13
          | ! [X124] :
              ( ndr1_0
             => ( ~ c3_1(X124)
                | ~ c2_1(X124)
                | ~ c1_1(X124) ) ) )
        & ( hskp16
          | hskp27
          | ! [X123] :
              ( ndr1_0
             => ( ~ c3_1(X123)
                | ~ c2_1(X123)
                | ~ c1_1(X123) ) ) )
        & ( hskp1
          | hskp11
          | ! [X122] :
              ( ndr1_0
             => ( ~ c3_1(X122)
                | ~ c2_1(X122)
                | ~ c0_1(X122) ) ) )
        & ( hskp22
          | hskp27
          | ! [X121] :
              ( ndr1_0
             => ( ~ c3_1(X121)
                | ~ c1_1(X121)
                | ~ c0_1(X121) ) ) )
        & ( hskp22
          | hskp0
          | ! [X120] :
              ( ndr1_0
             => ( ~ c2_1(X120)
                | ~ c1_1(X120)
                | c3_1(X120) ) ) )
        & ( hskp7
          | ! [X119] :
              ( ndr1_0
             => ( ~ c3_1(X119)
                | ~ c2_1(X119)
                | ~ c0_1(X119) ) )
          | ! [X118] :
              ( ndr1_0
             => ( ~ c2_1(X118)
                | ~ c1_1(X118)
                | c3_1(X118) ) ) )
        & ( hskp10
          | hskp11
          | ! [X117] :
              ( ndr1_0
             => ( ~ c2_1(X117)
                | ~ c0_1(X117)
                | c3_1(X117) ) ) )
        & ( hskp9
          | hskp29
          | ! [X116] :
              ( ndr1_0
             => ( ~ c1_1(X116)
                | ~ c0_1(X116)
                | c3_1(X116) ) ) )
        & ( hskp10
          | hskp17
          | ! [X115] :
              ( ndr1_0
             => ( ~ c1_1(X115)
                | ~ c0_1(X115)
                | c2_1(X115) ) ) )
        & ( hskp12
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c1_1(X114)
                | ~ c0_1(X114) ) )
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c2_1(X113) ) ) )
        & ( hskp18
          | ! [X112] :
              ( ndr1_0
             => ( ~ c1_1(X112)
                | ~ c0_1(X112)
                | c3_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c2_1(X111) ) ) )
        & ( hskp16
          | hskp13
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | c3_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp16
          | hskp20
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | c3_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp27
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c0_1(X108) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c1_1(X107) ) ) )
        & ( hskp16
          | hskp13
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c0_1(X106)
                | c1_1(X106) ) ) )
        & ( hskp22
          | hskp28
          | ! [X105] :
              ( ndr1_0
             => ( ~ c2_1(X105)
                | ~ c0_1(X105)
                | c1_1(X105) ) ) )
        & ( hskp10
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c2_1(X104)
                | c1_1(X104) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c0_1(X103)
                | c1_1(X103) ) ) )
        & ( hskp21
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | ~ c2_1(X102)
                | c1_1(X102) ) )
          | ! [X101] :
              ( ndr1_0
             => ( ~ c2_1(X101)
                | ~ c0_1(X101)
                | c1_1(X101) ) ) )
        & ( ! [X100] :
              ( ndr1_0
             => ( ~ c3_1(X100)
                | ~ c1_1(X100)
                | ~ c0_1(X100) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c3_1(X99) ) )
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c1_1(X98) ) ) )
        & ( hskp0
          | hskp15
          | ! [X97] :
              ( ndr1_0
             => ( ~ c0_1(X97)
                | c3_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp20
          | hskp28
          | ! [X96] :
              ( ndr1_0
             => ( ~ c0_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp19
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c0_1(X94)
                | c3_1(X94)
                | c1_1(X94) ) ) )
        & ( hskp16
          | ! [X93] :
              ( ndr1_0
             => ( ~ c0_1(X93)
                | c2_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp1
          | hskp30
          | ! [X92] :
              ( ndr1_0
             => ( ~ c0_1(X92)
                | c2_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp2
          | ! [X91] :
              ( ndr1_0
             => ( ~ c2_1(X91)
                | c3_1(X91)
                | c1_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c0_1(X90)
                | c2_1(X90)
                | c1_1(X90) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c1_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c0_1(X86)
                | c3_1(X86)
                | c1_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp2
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c2_1(X84)
                | ~ c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c2_1(X83)
                | c0_1(X83) ) ) )
        & ( hskp16
          | ! [X82] :
              ( ndr1_0
             => ( ~ c1_1(X82)
                | ~ c0_1(X82)
                | c3_1(X82) ) )
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | ~ c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c3_1(X80)
                | c2_1(X80) ) )
          | ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | ~ c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp29
          | ! [X77] :
              ( ndr1_0
             => ( ~ c0_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c2_1(X76)
                | c0_1(X76) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c0_1(X75)
                | c3_1(X75) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c0_1(X73) ) ) )
        & ( hskp3
          | hskp15
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) ) )
        & ( hskp27
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | c2_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | c0_1(X70) ) ) )
        & ( hskp2
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c3_1(X69)
                | c2_1(X69) ) )
          | ! [X68] :
              ( ndr1_0
             => ( ~ c2_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp18
          | ! [X67] :
              ( ndr1_0
             => ( ~ c0_1(X67)
                | c3_1(X67)
                | c1_1(X67) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c2_1(X66)
                | ~ c1_1(X66)
                | c0_1(X66) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c0_1(X65)
                | c2_1(X65) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c2_1(X64)
                | ~ c0_1(X64)
                | c1_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c2_1(X63)
                | c3_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp17
          | hskp29
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp16
          | hskp15
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c1_1(X60)
                | c3_1(X60)
                | c2_1(X60) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c0_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | ~ c1_1(X57)
                | c0_1(X57) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c0_1(X54)
                | c2_1(X54) ) )
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp11
          | ! [X52] :
              ( ndr1_0
             => ( ~ c1_1(X52)
                | ~ c0_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp13
          | ! [X50] :
              ( ndr1_0
             => ( ~ c0_1(X50)
                | c3_1(X50)
                | c2_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | c2_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp10
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | c3_1(X48)
                | c1_1(X48) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | c2_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp12
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c1_1(X46) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c2_1(X45)
                | c0_1(X45) ) ) )
        & ( hskp28
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | ~ c0_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( c3_1(X43)
                | c2_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp11
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c0_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( c3_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp10
          | hskp9
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c1_1(X40)
                | c0_1(X40) ) ) )
        & ( hskp8
          | ! [X39] :
              ( ndr1_0
             => ( ~ c1_1(X39)
                | ~ c0_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | c1_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp0
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | ~ c1_1(X37)
                | c2_1(X37) ) )
          | ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | c1_1(X36)
                | c0_1(X36) ) ) )
        & ( ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c2_1(X34)
                | ~ c1_1(X34)
                | c0_1(X34) ) )
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp7
          | ! [X32] :
              ( ndr1_0
             => ( ~ c2_1(X32)
                | c3_1(X32)
                | c0_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( ! [X30] :
              ( ndr1_0
             => ( ~ c1_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c1_1(X29)
                | c3_1(X29)
                | c0_1(X29) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c1_1(X28)
                | c0_1(X28) ) ) )
        & ( hskp6
          | hskp5
          | ! [X27] :
              ( ndr1_0
             => ( ~ c2_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c1_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c1_1(X25)
                | c0_1(X25) ) ) )
        & ( hskp27
          | ! [X24] :
              ( ndr1_0
             => ( ~ c2_1(X24)
                | ~ c1_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c1_1(X22)
                | ~ c0_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c1_1(X21)
                | c0_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp3
          | ! [X19] :
              ( ndr1_0
             => ( ~ c1_1(X19)
                | c2_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( hskp2
          | ! [X17] :
              ( ndr1_0
             => ( ~ c3_1(X17)
                | ~ c2_1(X17)
                | ~ c0_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) ) )
        & ( hskp1
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | ~ c2_1(X15)
                | c1_1(X15) ) )
          | ! [X14] :
              ( ndr1_0
             => ( c3_1(X14)
                | c1_1(X14)
                | c0_1(X14) ) ) )
        & ( ! [X13] :
              ( ndr1_0
             => ( ~ c2_1(X13)
                | ~ c0_1(X13)
                | c1_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( c3_1(X12)
                | c2_1(X12)
                | c1_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( ! [X10] :
              ( ndr1_0
             => ( ~ c3_1(X10)
                | ~ c1_1(X10)
                | c0_1(X10) ) )
          | ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | c3_1(X9)
                | c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( c3_1(X8)
                | c1_1(X8)
                | c0_1(X8) ) ) )
        & ( hskp0
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c2_1(X7)
                | c1_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c2_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | c3_1(X5)
                | c2_1(X5) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c0_1(X4)
                | c1_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | c0_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | c3_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a2208)
            & c1_1(a2208)
            & c0_1(a2208)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a2196)
            & c2_1(a2196)
            & c1_1(a2196)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a2188)
            & c1_1(a2188)
            & c0_1(a2188)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a2178)
            & c2_1(a2178)
            & c0_1(a2178)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c2_1(a2268)
            & ~ c0_1(a2268)
            & c1_1(a2268)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c2_1(a2265)
            & c3_1(a2265)
            & c1_1(a2265)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c0_1(a2262)
            & c3_1(a2262)
            & c1_1(a2262)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a2248)
            & ~ c1_1(a2248)
            & ~ c0_1(a2248)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a2219)
            & ~ c1_1(a2219)
            & c2_1(a2219)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c3_1(a2216)
            & ~ c2_1(a2216)
            & c0_1(a2216)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a2213)
            & c1_1(a2213)
            & c0_1(a2213)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a2211)
            & ~ c2_1(a2211)
            & ~ c0_1(a2211)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c2_1(a2198)
            & ~ c1_1(a2198)
            & c0_1(a2198)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c1_1(a2197)
            & c3_1(a2197)
            & c2_1(a2197)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c3_1(a2195)
            & ~ c2_1(a2195)
            & ~ c1_1(a2195)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c2_1(a2194)
            & c3_1(a2194)
            & c0_1(a2194)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a2193)
            & ~ c1_1(a2193)
            & c3_1(a2193)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a2191)
            & ~ c1_1(a2191)
            & c0_1(a2191)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c3_1(a2189)
            & ~ c2_1(a2189)
            & c1_1(a2189)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a2187)
            & c2_1(a2187)
            & c0_1(a2187)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c1_1(a2186)
            & ~ c0_1(a2186)
            & c3_1(a2186)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c1_1(a2185)
            & ~ c0_1(a2185)
            & c2_1(a2185)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a2184)
            & c1_1(a2184)
            & c0_1(a2184)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c0_1(a2182)
            & c3_1(a2182)
            & c2_1(a2182)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a2181)
            & c2_1(a2181)
            & c1_1(a2181)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a2180)
            & c3_1(a2180)
            & c0_1(a2180)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a2179)
            & c2_1(a2179)
            & c0_1(a2179)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a2177)
            & ~ c1_1(a2177)
            & ~ c0_1(a2177)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a2176)
            & ~ c0_1(a2176)
            & c1_1(a2176)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c3_1(a2175)
            & ~ c0_1(a2175)
            & c2_1(a2175)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c0_1(a2174)
            & c2_1(a2174)
            & c1_1(a2174)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp16
        | hskp3
        | hskp17 )
      & ( hskp9
        | hskp2
        | hskp24 )
      & ( hskp17
        | hskp26
        | hskp24 )
      & ( hskp22
        | hskp25
        | hskp21 )
      & ( hskp14
        | hskp24
        | hskp13 )
      & ( hskp10
        | hskp0
        | hskp13 )
      & ( hskp16
        | hskp3
        | hskp15 )
      & ( hskp16
        | hskp19
        | hskp5 )
      & ( hskp19
        | hskp2
        | hskp5 )
      & ( hskp23
        | hskp4
        | hskp8 )
      & ( hskp19
        | hskp13
        | ! [X124] :
            ( ndr1_0
           => ( ~ c3_1(X124)
              | ~ c2_1(X124)
              | ~ c1_1(X124) ) ) )
      & ( hskp16
        | hskp27
        | ! [X123] :
            ( ndr1_0
           => ( ~ c3_1(X123)
              | ~ c2_1(X123)
              | ~ c1_1(X123) ) ) )
      & ( hskp1
        | hskp11
        | ! [X122] :
            ( ndr1_0
           => ( ~ c3_1(X122)
              | ~ c2_1(X122)
              | ~ c0_1(X122) ) ) )
      & ( hskp22
        | hskp27
        | ! [X121] :
            ( ndr1_0
           => ( ~ c3_1(X121)
              | ~ c1_1(X121)
              | ~ c0_1(X121) ) ) )
      & ( hskp22
        | hskp0
        | ! [X120] :
            ( ndr1_0
           => ( ~ c2_1(X120)
              | ~ c1_1(X120)
              | c3_1(X120) ) ) )
      & ( hskp7
        | ! [X119] :
            ( ndr1_0
           => ( ~ c3_1(X119)
              | ~ c2_1(X119)
              | ~ c0_1(X119) ) )
        | ! [X118] :
            ( ndr1_0
           => ( ~ c2_1(X118)
              | ~ c1_1(X118)
              | c3_1(X118) ) ) )
      & ( hskp10
        | hskp11
        | ! [X117] :
            ( ndr1_0
           => ( ~ c2_1(X117)
              | ~ c0_1(X117)
              | c3_1(X117) ) ) )
      & ( hskp9
        | hskp29
        | ! [X116] :
            ( ndr1_0
           => ( ~ c1_1(X116)
              | ~ c0_1(X116)
              | c3_1(X116) ) ) )
      & ( hskp10
        | hskp17
        | ! [X115] :
            ( ndr1_0
           => ( ~ c1_1(X115)
              | ~ c0_1(X115)
              | c2_1(X115) ) ) )
      & ( hskp12
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c1_1(X114)
              | ~ c0_1(X114) ) )
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c2_1(X113) ) ) )
      & ( hskp18
        | ! [X112] :
            ( ndr1_0
           => ( ~ c1_1(X112)
              | ~ c0_1(X112)
              | c3_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c2_1(X111) ) ) )
      & ( hskp16
        | hskp13
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | c3_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp16
        | hskp20
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | c3_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp27
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | ~ c0_1(X108) ) )
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | c1_1(X107) ) ) )
      & ( hskp16
        | hskp13
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c0_1(X106)
              | c1_1(X106) ) ) )
      & ( hskp22
        | hskp28
        | ! [X105] :
            ( ndr1_0
           => ( ~ c2_1(X105)
              | ~ c0_1(X105)
              | c1_1(X105) ) ) )
      & ( hskp10
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c2_1(X104)
              | c1_1(X104) ) )
        | ! [X103] :
            ( ndr1_0
           => ( ~ c2_1(X103)
              | ~ c0_1(X103)
              | c1_1(X103) ) ) )
      & ( hskp21
        | ! [X102] :
            ( ndr1_0
           => ( ~ c3_1(X102)
              | ~ c2_1(X102)
              | c1_1(X102) ) )
        | ! [X101] :
            ( ndr1_0
           => ( ~ c2_1(X101)
              | ~ c0_1(X101)
              | c1_1(X101) ) ) )
      & ( ! [X100] :
            ( ndr1_0
           => ( ~ c3_1(X100)
              | ~ c1_1(X100)
              | ~ c0_1(X100) ) )
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c3_1(X99) ) )
        | ! [X98] :
            ( ndr1_0
           => ( ~ c2_1(X98)
              | c3_1(X98)
              | c1_1(X98) ) ) )
      & ( hskp0
        | hskp15
        | ! [X97] :
            ( ndr1_0
           => ( ~ c0_1(X97)
              | c3_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp20
        | hskp28
        | ! [X96] :
            ( ndr1_0
           => ( ~ c0_1(X96)
              | c3_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp19
        | ! [X95] :
            ( ndr1_0
           => ( ~ c2_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) )
        | ! [X94] :
            ( ndr1_0
           => ( ~ c0_1(X94)
              | c3_1(X94)
              | c1_1(X94) ) ) )
      & ( hskp16
        | ! [X93] :
            ( ndr1_0
           => ( ~ c0_1(X93)
              | c2_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp1
        | hskp30
        | ! [X92] :
            ( ndr1_0
           => ( ~ c0_1(X92)
              | c2_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp2
        | ! [X91] :
            ( ndr1_0
           => ( ~ c2_1(X91)
              | c3_1(X91)
              | c1_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c0_1(X90)
              | c2_1(X90)
              | c1_1(X90) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c1_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( hskp28
        | ! [X86] :
            ( ndr1_0
           => ( ~ c0_1(X86)
              | c3_1(X86)
              | c1_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( c3_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp2
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c2_1(X84)
              | ~ c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c2_1(X83)
              | c0_1(X83) ) ) )
      & ( hskp16
        | ! [X82] :
            ( ndr1_0
           => ( ~ c1_1(X82)
              | ~ c0_1(X82)
              | c3_1(X82) ) )
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | ~ c2_1(X81)
              | c0_1(X81) ) ) )
      & ( ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c3_1(X80)
              | c2_1(X80) ) )
        | ! [X79] :
            ( ndr1_0
           => ( ~ c3_1(X79)
              | ~ c2_1(X79)
              | c1_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c3_1(X78)
              | ~ c2_1(X78)
              | c0_1(X78) ) ) )
      & ( hskp29
        | ! [X77] :
            ( ndr1_0
           => ( ~ c0_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c2_1(X76)
              | c0_1(X76) ) ) )
      & ( ! [X75] :
            ( ndr1_0
           => ( ~ c2_1(X75)
              | ~ c0_1(X75)
              | c3_1(X75) ) )
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( ~ c3_1(X73)
              | ~ c2_1(X73)
              | c0_1(X73) ) ) )
      & ( hskp3
        | hskp15
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c1_1(X72)
              | c0_1(X72) ) ) )
      & ( hskp27
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | c2_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | c0_1(X70) ) ) )
      & ( hskp2
        | ! [X69] :
            ( ndr1_0
           => ( ~ c1_1(X69)
              | c3_1(X69)
              | c2_1(X69) ) )
        | ! [X68] :
            ( ndr1_0
           => ( ~ c2_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp18
        | ! [X67] :
            ( ndr1_0
           => ( ~ c0_1(X67)
              | c3_1(X67)
              | c1_1(X67) ) )
        | ! [X66] :
            ( ndr1_0
           => ( ~ c2_1(X66)
              | ~ c1_1(X66)
              | c0_1(X66) ) ) )
      & ( ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c0_1(X65)
              | c2_1(X65) ) )
        | ! [X64] :
            ( ndr1_0
           => ( ~ c2_1(X64)
              | ~ c0_1(X64)
              | c1_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c2_1(X63)
              | c3_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp17
        | hskp29
        | ! [X62] :
            ( ndr1_0
           => ( ~ c1_1(X62)
              | c3_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp16
        | hskp15
        | ! [X61] :
            ( ndr1_0
           => ( ~ c1_1(X61)
              | c3_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp14
        | ! [X60] :
            ( ndr1_0
           => ( ~ c1_1(X60)
              | c3_1(X60)
              | c2_1(X60) ) )
        | ! [X59] :
            ( ndr1_0
           => ( ~ c1_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c0_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | ~ c1_1(X57)
              | c0_1(X57) ) )
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c3_1(X54)
              | ~ c0_1(X54)
              | c2_1(X54) ) )
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp11
        | ! [X52] :
            ( ndr1_0
           => ( ~ c1_1(X52)
              | ~ c0_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c3_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp13
        | ! [X50] :
            ( ndr1_0
           => ( ~ c0_1(X50)
              | c3_1(X50)
              | c2_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | c2_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp10
        | ! [X48] :
            ( ndr1_0
           => ( ~ c2_1(X48)
              | c3_1(X48)
              | c1_1(X48) ) )
        | ! [X47] :
            ( ndr1_0
           => ( ~ c3_1(X47)
              | c2_1(X47)
              | c0_1(X47) ) ) )
      & ( hskp12
        | ! [X46] :
            ( ndr1_0
           => ( ~ c3_1(X46)
              | ~ c2_1(X46)
              | c1_1(X46) ) )
        | ! [X45] :
            ( ndr1_0
           => ( ~ c1_1(X45)
              | c2_1(X45)
              | c0_1(X45) ) ) )
      & ( hskp28
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | ~ c0_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( c3_1(X43)
              | c2_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp11
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c0_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( c3_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( hskp10
        | hskp9
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c1_1(X40)
              | c0_1(X40) ) ) )
      & ( hskp8
        | ! [X39] :
            ( ndr1_0
           => ( ~ c1_1(X39)
              | ~ c0_1(X39)
              | c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | c1_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp0
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | ~ c1_1(X37)
              | c2_1(X37) ) )
        | ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | c1_1(X36)
              | c0_1(X36) ) ) )
      & ( ! [X35] :
            ( ndr1_0
           => ( c3_1(X35)
              | c2_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c2_1(X34)
              | ~ c1_1(X34)
              | c0_1(X34) ) )
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c1_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp7
        | ! [X32] :
            ( ndr1_0
           => ( ~ c2_1(X32)
              | c3_1(X32)
              | c0_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( ! [X30] :
            ( ndr1_0
           => ( ~ c1_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c1_1(X29)
              | c3_1(X29)
              | c0_1(X29) ) )
        | ! [X28] :
            ( ndr1_0
           => ( ~ c3_1(X28)
              | c1_1(X28)
              | c0_1(X28) ) ) )
      & ( hskp6
        | hskp5
        | ! [X27] :
            ( ndr1_0
           => ( ~ c2_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( hskp4
        | ! [X26] :
            ( ndr1_0
           => ( ~ c3_1(X26)
              | ~ c2_1(X26)
              | ~ c1_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( ~ c2_1(X25)
              | c1_1(X25)
              | c0_1(X25) ) ) )
      & ( hskp27
        | ! [X24] :
            ( ndr1_0
           => ( ~ c2_1(X24)
              | ~ c1_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c1_1(X22)
              | ~ c0_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c2_1(X21)
              | ~ c1_1(X21)
              | c0_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp3
        | ! [X19] :
            ( ndr1_0
           => ( ~ c1_1(X19)
              | c2_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( hskp2
        | ! [X17] :
            ( ndr1_0
           => ( ~ c3_1(X17)
              | ~ c2_1(X17)
              | ~ c0_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) ) )
      & ( hskp1
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | ~ c2_1(X15)
              | c1_1(X15) ) )
        | ! [X14] :
            ( ndr1_0
           => ( c3_1(X14)
              | c1_1(X14)
              | c0_1(X14) ) ) )
      & ( ! [X13] :
            ( ndr1_0
           => ( ~ c2_1(X13)
              | ~ c0_1(X13)
              | c1_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( c3_1(X12)
              | c2_1(X12)
              | c1_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( ! [X10] :
            ( ndr1_0
           => ( ~ c3_1(X10)
              | ~ c1_1(X10)
              | c0_1(X10) ) )
        | ! [X9] :
            ( ndr1_0
           => ( ~ c2_1(X9)
              | c3_1(X9)
              | c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( c3_1(X8)
              | c1_1(X8)
              | c0_1(X8) ) ) )
      & ( hskp0
        | ! [X7] :
            ( ndr1_0
           => ( ~ c3_1(X7)
              | ~ c2_1(X7)
              | c1_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c2_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( ! [X5] :
            ( ndr1_0
           => ( ~ c1_1(X5)
              | c3_1(X5)
              | c2_1(X5) ) )
        | ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c0_1(X4)
              | c1_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c3_1(X2)
              | ~ c2_1(X2)
              | c0_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( ~ c2_1(X1)
              | c3_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a2208)
          & c1_1(a2208)
          & c0_1(a2208)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a2196)
          & c2_1(a2196)
          & c1_1(a2196)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a2188)
          & c1_1(a2188)
          & c0_1(a2188)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a2178)
          & c2_1(a2178)
          & c0_1(a2178)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c2_1(a2268)
          & ~ c0_1(a2268)
          & c1_1(a2268)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c2_1(a2265)
          & c3_1(a2265)
          & c1_1(a2265)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c0_1(a2262)
          & c3_1(a2262)
          & c1_1(a2262)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a2248)
          & ~ c1_1(a2248)
          & ~ c0_1(a2248)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a2219)
          & ~ c1_1(a2219)
          & c2_1(a2219)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c3_1(a2216)
          & ~ c2_1(a2216)
          & c0_1(a2216)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a2213)
          & c1_1(a2213)
          & c0_1(a2213)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a2211)
          & ~ c2_1(a2211)
          & ~ c0_1(a2211)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c2_1(a2198)
          & ~ c1_1(a2198)
          & c0_1(a2198)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c1_1(a2197)
          & c3_1(a2197)
          & c2_1(a2197)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c3_1(a2195)
          & ~ c2_1(a2195)
          & ~ c1_1(a2195)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c2_1(a2194)
          & c3_1(a2194)
          & c0_1(a2194)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a2193)
          & ~ c1_1(a2193)
          & c3_1(a2193)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a2191)
          & ~ c1_1(a2191)
          & c0_1(a2191)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c3_1(a2189)
          & ~ c2_1(a2189)
          & c1_1(a2189)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a2187)
          & c2_1(a2187)
          & c0_1(a2187)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c1_1(a2186)
          & ~ c0_1(a2186)
          & c3_1(a2186)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c1_1(a2185)
          & ~ c0_1(a2185)
          & c2_1(a2185)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a2184)
          & c1_1(a2184)
          & c0_1(a2184)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c0_1(a2182)
          & c3_1(a2182)
          & c2_1(a2182)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a2181)
          & c2_1(a2181)
          & c1_1(a2181)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a2180)
          & c3_1(a2180)
          & c0_1(a2180)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a2179)
          & c2_1(a2179)
          & c0_1(a2179)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a2177)
          & ~ c1_1(a2177)
          & ~ c0_1(a2177)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a2176)
          & ~ c0_1(a2176)
          & c1_1(a2176)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c3_1(a2175)
          & ~ c0_1(a2175)
          & c2_1(a2175)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c0_1(a2174)
          & c2_1(a2174)
          & c1_1(a2174)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).

fof(f1043,plain,
    ( ~ spl0_13
    | spl0_156 ),
    inference(avatar_split_clause,[],[f8,f1040,f306]) ).

fof(f8,plain,
    ( c1_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1038,plain,
    ( ~ spl0_13
    | spl0_155 ),
    inference(avatar_split_clause,[],[f9,f1035,f306]) ).

fof(f9,plain,
    ( c2_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1033,plain,
    ( ~ spl0_13
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f10,f1030,f306]) ).

fof(f10,plain,
    ( ~ c0_1(a2174)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1027,plain,
    ( ~ spl0_26
    | spl0_153 ),
    inference(avatar_split_clause,[],[f12,f1024,f363]) ).

fof(f363,plain,
    ( spl0_26
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f12,plain,
    ( c2_1(a2175)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1022,plain,
    ( ~ spl0_26
    | ~ spl0_152 ),
    inference(avatar_split_clause,[],[f13,f1019,f363]) ).

fof(f13,plain,
    ( ~ c0_1(a2175)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1017,plain,
    ( ~ spl0_26
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f14,f1014,f363]) ).

fof(f14,plain,
    ( ~ c3_1(a2175)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1011,plain,
    ( ~ spl0_5
    | spl0_150 ),
    inference(avatar_split_clause,[],[f16,f1008,f270]) ).

fof(f270,plain,
    ( spl0_5
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f16,plain,
    ( c1_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1006,plain,
    ( ~ spl0_5
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f17,f1003,f270]) ).

fof(f17,plain,
    ( ~ c0_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1001,plain,
    ( ~ spl0_5
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f18,f998,f270]) ).

fof(f18,plain,
    ( ~ c3_1(a2176)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f995,plain,
    ( ~ spl0_2
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f20,f992,f257]) ).

fof(f257,plain,
    ( spl0_2
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f20,plain,
    ( ~ c0_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f990,plain,
    ( ~ spl0_2
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f21,f987,f257]) ).

fof(f21,plain,
    ( ~ c1_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f985,plain,
    ( ~ spl0_2
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f22,f982,f257]) ).

fof(f22,plain,
    ( ~ c3_1(a2177)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f979,plain,
    ( ~ spl0_19
    | spl0_144 ),
    inference(avatar_split_clause,[],[f24,f976,f334]) ).

fof(f334,plain,
    ( spl0_19
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f24,plain,
    ( c0_1(a2179)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f969,plain,
    ( ~ spl0_19
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f26,f966,f334]) ).

fof(f26,plain,
    ( ~ c3_1(a2179)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f963,plain,
    ( ~ spl0_16
    | spl0_141 ),
    inference(avatar_split_clause,[],[f28,f960,f320]) ).

fof(f320,plain,
    ( spl0_16
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f28,plain,
    ( c0_1(a2180)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f958,plain,
    ( ~ spl0_16
    | spl0_140 ),
    inference(avatar_split_clause,[],[f29,f955,f320]) ).

fof(f29,plain,
    ( c3_1(a2180)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f953,plain,
    ( ~ spl0_16
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f30,f950,f320]) ).

fof(f30,plain,
    ( ~ c1_1(a2180)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_60
    | spl0_138 ),
    inference(avatar_split_clause,[],[f32,f944,f525]) ).

fof(f525,plain,
    ( spl0_60
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f32,plain,
    ( c1_1(a2181)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f942,plain,
    ( ~ spl0_60
    | spl0_137 ),
    inference(avatar_split_clause,[],[f33,f939,f525]) ).

fof(f33,plain,
    ( c2_1(a2181)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f937,plain,
    ( ~ spl0_60
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f34,f934,f525]) ).

fof(f34,plain,
    ( ~ c3_1(a2181)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f915,plain,
    ( ~ spl0_18
    | spl0_132 ),
    inference(avatar_split_clause,[],[f40,f912,f330]) ).

fof(f330,plain,
    ( spl0_18
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f40,plain,
    ( c0_1(a2184)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f910,plain,
    ( ~ spl0_18
    | spl0_131 ),
    inference(avatar_split_clause,[],[f41,f907,f330]) ).

fof(f41,plain,
    ( c1_1(a2184)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f905,plain,
    ( ~ spl0_18
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f42,f902,f330]) ).

fof(f42,plain,
    ( ~ c3_1(a2184)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_6
    | spl0_129 ),
    inference(avatar_split_clause,[],[f44,f896,f274]) ).

fof(f274,plain,
    ( spl0_6
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f44,plain,
    ( c2_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f894,plain,
    ( ~ spl0_6
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f45,f891,f274]) ).

fof(f45,plain,
    ( ~ c0_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f889,plain,
    ( ~ spl0_6
    | ~ spl0_127 ),
    inference(avatar_split_clause,[],[f46,f886,f274]) ).

fof(f46,plain,
    ( ~ c1_1(a2185)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f884,plain,
    ( ~ spl0_14
    | spl0_21 ),
    inference(avatar_split_clause,[],[f47,f343,f310]) ).

fof(f310,plain,
    ( spl0_14
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

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

fof(f883,plain,
    ( ~ spl0_14
    | spl0_126 ),
    inference(avatar_split_clause,[],[f48,f880,f310]) ).

fof(f48,plain,
    ( c3_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f878,plain,
    ( ~ spl0_14
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f49,f875,f310]) ).

fof(f49,plain,
    ( ~ c0_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f873,plain,
    ( ~ spl0_14
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f50,f870,f310]) ).

fof(f50,plain,
    ( ~ c1_1(a2186)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_25
    | spl0_123 ),
    inference(avatar_split_clause,[],[f52,f864,f359]) ).

fof(f359,plain,
    ( spl0_25
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f52,plain,
    ( c0_1(a2187)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f862,plain,
    ( ~ spl0_25
    | spl0_122 ),
    inference(avatar_split_clause,[],[f53,f859,f359]) ).

fof(f53,plain,
    ( c2_1(a2187)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f857,plain,
    ( ~ spl0_25
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f54,f854,f359]) ).

fof(f54,plain,
    ( ~ c1_1(a2187)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f836,plain,
    ( ~ spl0_11
    | spl0_21 ),
    inference(avatar_split_clause,[],[f59,f343,f297]) ).

fof(f297,plain,
    ( spl0_11
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f59,plain,
    ( ndr1_0
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_11
    | spl0_117 ),
    inference(avatar_split_clause,[],[f60,f832,f297]) ).

fof(f60,plain,
    ( c0_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f830,plain,
    ( ~ spl0_11
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f61,f827,f297]) ).

fof(f61,plain,
    ( ~ c1_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f825,plain,
    ( ~ spl0_11
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f62,f822,f297]) ).

fof(f62,plain,
    ( ~ c3_1(a2191)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f819,plain,
    ( ~ spl0_12
    | spl0_114 ),
    inference(avatar_split_clause,[],[f64,f816,f301]) ).

fof(f301,plain,
    ( spl0_12
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f64,plain,
    ( c3_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f814,plain,
    ( ~ spl0_12
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f65,f811,f301]) ).

fof(f65,plain,
    ( ~ c1_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f809,plain,
    ( ~ spl0_12
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f66,f806,f301]) ).

fof(f66,plain,
    ( ~ c2_1(a2193)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_15
    | spl0_111 ),
    inference(avatar_split_clause,[],[f68,f800,f315]) ).

fof(f315,plain,
    ( spl0_15
  <=> hskp15 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f68,plain,
    ( c0_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f798,plain,
    ( ~ spl0_15
    | spl0_110 ),
    inference(avatar_split_clause,[],[f69,f795,f315]) ).

fof(f69,plain,
    ( c3_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f793,plain,
    ( ~ spl0_15
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f70,f790,f315]) ).

fof(f70,plain,
    ( ~ c2_1(a2194)
    | ~ hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f787,plain,
    ( ~ spl0_3
    | ~ spl0_108 ),
    inference(avatar_split_clause,[],[f72,f784,f261]) ).

fof(f261,plain,
    ( spl0_3
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f72,plain,
    ( ~ c1_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f782,plain,
    ( ~ spl0_3
    | ~ spl0_107 ),
    inference(avatar_split_clause,[],[f73,f779,f261]) ).

fof(f73,plain,
    ( ~ c2_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f777,plain,
    ( ~ spl0_3
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f74,f774,f261]) ).

fof(f74,plain,
    ( ~ c3_1(a2195)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( ~ spl0_1
    | spl0_105 ),
    inference(avatar_split_clause,[],[f76,f768,f253]) ).

fof(f253,plain,
    ( spl0_1
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f76,plain,
    ( c2_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f766,plain,
    ( ~ spl0_1
    | spl0_104 ),
    inference(avatar_split_clause,[],[f77,f763,f253]) ).

fof(f77,plain,
    ( c3_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f761,plain,
    ( ~ spl0_1
    | ~ spl0_103 ),
    inference(avatar_split_clause,[],[f78,f758,f253]) ).

fof(f78,plain,
    ( ~ c1_1(a2197)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( ~ spl0_36
    | spl0_102 ),
    inference(avatar_split_clause,[],[f80,f752,f405]) ).

fof(f405,plain,
    ( spl0_36
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f80,plain,
    ( c0_1(a2198)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f750,plain,
    ( ~ spl0_36
    | ~ spl0_101 ),
    inference(avatar_split_clause,[],[f81,f747,f405]) ).

fof(f81,plain,
    ( ~ c1_1(a2198)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f745,plain,
    ( ~ spl0_36
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f82,f742,f405]) ).

fof(f82,plain,
    ( ~ c2_1(a2198)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_10
    | spl0_90 ),
    inference(avatar_split_clause,[],[f96,f688,f292]) ).

fof(f292,plain,
    ( spl0_10
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f96,plain,
    ( c2_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_10
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f97,f683,f292]) ).

fof(f97,plain,
    ( ~ c1_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f681,plain,
    ( ~ spl0_10
    | ~ spl0_88 ),
    inference(avatar_split_clause,[],[f98,f678,f292]) ).

fof(f98,plain,
    ( ~ c3_1(a2219)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_20
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f100,f672,f338]) ).

fof(f338,plain,
    ( spl0_20
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f100,plain,
    ( ~ c0_1(a2248)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f670,plain,
    ( ~ spl0_20
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f101,f667,f338]) ).

fof(f101,plain,
    ( ~ c1_1(a2248)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f665,plain,
    ( ~ spl0_20
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f102,f662,f338]) ).

fof(f102,plain,
    ( ~ c2_1(a2248)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_4
    | spl0_84 ),
    inference(avatar_split_clause,[],[f104,f656,f266]) ).

fof(f266,plain,
    ( spl0_4
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f104,plain,
    ( c1_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f654,plain,
    ( ~ spl0_4
    | spl0_83 ),
    inference(avatar_split_clause,[],[f105,f651,f266]) ).

fof(f105,plain,
    ( c3_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f649,plain,
    ( ~ spl0_4
    | ~ spl0_82 ),
    inference(avatar_split_clause,[],[f106,f646,f266]) ).

fof(f106,plain,
    ( ~ c0_1(a2262)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_7
    | spl0_78 ),
    inference(avatar_split_clause,[],[f112,f624,f279]) ).

fof(f279,plain,
    ( spl0_7
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f112,plain,
    ( c1_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f622,plain,
    ( ~ spl0_7
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f113,f619,f279]) ).

fof(f113,plain,
    ( ~ c0_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f617,plain,
    ( ~ spl0_7
    | ~ spl0_76 ),
    inference(avatar_split_clause,[],[f114,f614,f279]) ).

fof(f114,plain,
    ( ~ c2_1(a2268)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f611,plain,
    ( ~ spl0_23
    | spl0_75 ),
    inference(avatar_split_clause,[],[f116,f608,f351]) ).

fof(f351,plain,
    ( spl0_23
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f116,plain,
    ( c0_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f606,plain,
    ( ~ spl0_23
    | spl0_74 ),
    inference(avatar_split_clause,[],[f117,f603,f351]) ).

fof(f117,plain,
    ( c2_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f601,plain,
    ( ~ spl0_23
    | spl0_73 ),
    inference(avatar_split_clause,[],[f118,f598,f351]) ).

fof(f118,plain,
    ( c3_1(a2178)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f595,plain,
    ( ~ spl0_42
    | spl0_72 ),
    inference(avatar_split_clause,[],[f120,f592,f430]) ).

fof(f430,plain,
    ( spl0_42
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f120,plain,
    ( c0_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f590,plain,
    ( ~ spl0_42
    | spl0_71 ),
    inference(avatar_split_clause,[],[f121,f587,f430]) ).

fof(f121,plain,
    ( c1_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f585,plain,
    ( ~ spl0_42
    | spl0_70 ),
    inference(avatar_split_clause,[],[f122,f582,f430]) ).

fof(f122,plain,
    ( c2_1(a2188)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f579,plain,
    ( ~ spl0_32
    | spl0_69 ),
    inference(avatar_split_clause,[],[f124,f576,f388]) ).

fof(f388,plain,
    ( spl0_32
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f124,plain,
    ( c1_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f574,plain,
    ( ~ spl0_32
    | spl0_68 ),
    inference(avatar_split_clause,[],[f125,f571,f388]) ).

fof(f125,plain,
    ( c2_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f569,plain,
    ( ~ spl0_32
    | spl0_67 ),
    inference(avatar_split_clause,[],[f126,f566,f388]) ).

fof(f126,plain,
    ( c3_1(a2196)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f548,plain,
    ( spl0_63
    | spl0_52
    | ~ spl0_21
    | spl0_48 ),
    inference(avatar_split_clause,[],[f207,f462,f343,f483,f544]) ).

fof(f207,plain,
    ! [X124,X122,X123] :
      ( ~ c3_1(X122)
      | ~ c2_1(X122)
      | c0_1(X122)
      | ~ ndr1_0
      | ~ c2_1(X123)
      | c3_1(X123)
      | c0_1(X123)
      | c2_1(X124)
      | c1_1(X124)
      | c0_1(X124) ),
    inference(duplicate_literal_removal,[],[f131]) ).

fof(f131,plain,
    ! [X124,X122,X123] :
      ( ~ c3_1(X122)
      | ~ c2_1(X122)
      | c0_1(X122)
      | ~ ndr1_0
      | ~ c2_1(X123)
      | c3_1(X123)
      | c0_1(X123)
      | ~ ndr1_0
      | c2_1(X124)
      | c1_1(X124)
      | c0_1(X124)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( spl0_63
    | ~ spl0_21
    | spl0_39
    | spl0_13 ),
    inference(avatar_split_clause,[],[f209,f306,f419,f343,f544]) ).

fof(f209,plain,
    ! [X118,X117] :
      ( hskp0
      | ~ c3_1(X117)
      | ~ c2_1(X117)
      | c1_1(X117)
      | ~ ndr1_0
      | c2_1(X118)
      | c1_1(X118)
      | c0_1(X118) ),
    inference(duplicate_literal_removal,[],[f133]) ).

fof(f133,plain,
    ! [X118,X117] :
      ( hskp0
      | ~ c3_1(X117)
      | ~ c2_1(X117)
      | c1_1(X117)
      | ~ ndr1_0
      | c2_1(X118)
      | c1_1(X118)
      | c0_1(X118)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f542,plain,
    ( spl0_61
    | spl0_52
    | ~ spl0_21
    | spl0_62 ),
    inference(avatar_split_clause,[],[f210,f540,f343,f483,f534]) ).

fof(f210,plain,
    ! [X116,X114,X115] :
      ( ~ c3_1(X114)
      | ~ c1_1(X114)
      | c0_1(X114)
      | ~ ndr1_0
      | ~ c2_1(X115)
      | c3_1(X115)
      | c0_1(X115)
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116) ),
    inference(duplicate_literal_removal,[],[f134]) ).

fof(f134,plain,
    ! [X116,X114,X115] :
      ( ~ c3_1(X114)
      | ~ c1_1(X114)
      | c0_1(X114)
      | ~ ndr1_0
      | ~ c2_1(X115)
      | c3_1(X115)
      | c0_1(X115)
      | ~ ndr1_0
      | c3_1(X116)
      | c1_1(X116)
      | c0_1(X116)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( spl0_61
    | spl0_47
    | ~ spl0_21
    | spl0_41 ),
    inference(avatar_split_clause,[],[f211,f427,f343,f457,f534]) ).

fof(f211,plain,
    ! [X113,X111,X112] :
      ( ~ c2_1(X111)
      | ~ c0_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | c2_1(X112)
      | c1_1(X112)
      | c3_1(X113)
      | c1_1(X113)
      | c0_1(X113) ),
    inference(duplicate_literal_removal,[],[f135]) ).

fof(f135,plain,
    ! [X113,X111,X112] :
      ( ~ c2_1(X111)
      | ~ c0_1(X111)
      | c1_1(X111)
      | ~ ndr1_0
      | c3_1(X112)
      | c2_1(X112)
      | c1_1(X112)
      | ~ ndr1_0
      | c3_1(X113)
      | c1_1(X113)
      | c0_1(X113)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f536,plain,
    ( spl0_61
    | ~ spl0_21
    | spl0_24
    | spl0_5 ),
    inference(avatar_split_clause,[],[f213,f270,f356,f343,f534]) ).

fof(f213,plain,
    ! [X108,X107] :
      ( hskp2
      | ~ c3_1(X107)
      | ~ c2_1(X107)
      | ~ c0_1(X107)
      | ~ ndr1_0
      | c3_1(X108)
      | c1_1(X108)
      | c0_1(X108) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X108,X107] :
      ( hskp2
      | ~ c3_1(X107)
      | ~ c2_1(X107)
      | ~ c0_1(X107)
      | ~ ndr1_0
      | c3_1(X108)
      | c1_1(X108)
      | c0_1(X108)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f531,plain,
    ( spl0_59
    | spl0_50
    | ~ spl0_21
    | spl0_27 ),
    inference(avatar_split_clause,[],[f215,f368,f343,f473,f522]) ).

fof(f215,plain,
    ! [X104,X102,X103] :
      ( ~ c3_1(X102)
      | ~ c1_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c2_1(X103)
      | ~ c1_1(X103)
      | c0_1(X103)
      | ~ c2_1(X104)
      | c1_1(X104)
      | c0_1(X104) ),
    inference(duplicate_literal_removal,[],[f139]) ).

fof(f139,plain,
    ! [X104,X102,X103] :
      ( ~ c3_1(X102)
      | ~ c1_1(X102)
      | ~ c0_1(X102)
      | ~ ndr1_0
      | ~ c2_1(X103)
      | ~ c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0
      | ~ c2_1(X104)
      | c1_1(X104)
      | c0_1(X104)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( spl0_59
    | ~ spl0_21
    | spl0_50
    | spl0_23 ),
    inference(avatar_split_clause,[],[f216,f351,f473,f343,f522]) ).

fof(f216,plain,
    ! [X101,X100] :
      ( hskp27
      | ~ c2_1(X100)
      | ~ c1_1(X100)
      | c0_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | c1_1(X101)
      | c0_1(X101) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X101,X100] :
      ( hskp27
      | ~ c2_1(X100)
      | ~ c1_1(X100)
      | c0_1(X100)
      | ~ ndr1_0
      | ~ c2_1(X101)
      | c1_1(X101)
      | c0_1(X101)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( ~ spl0_21
    | spl0_59
    | spl0_16
    | spl0_60 ),
    inference(avatar_split_clause,[],[f142,f525,f320,f522,f343]) ).

fof(f142,plain,
    ! [X97] :
      ( hskp6
      | hskp5
      | ~ c2_1(X97)
      | c1_1(X97)
      | c0_1(X97)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f520,plain,
    ( spl0_58
    | spl0_54
    | ~ spl0_21
    | spl0_37 ),
    inference(avatar_split_clause,[],[f218,f410,f343,f490,f513]) ).

fof(f218,plain,
    ! [X96,X94,X95] :
      ( ~ c1_1(X94)
      | c3_1(X94)
      | c2_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X95)
      | c3_1(X95)
      | c0_1(X95)
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X96,X94,X95] :
      ( ~ c1_1(X94)
      | c3_1(X94)
      | c2_1(X94)
      | ~ ndr1_0
      | ~ c1_1(X95)
      | c3_1(X95)
      | c0_1(X95)
      | ~ ndr1_0
      | ~ c3_1(X96)
      | c1_1(X96)
      | c0_1(X96)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f518,plain,
    ( spl0_58
    | spl0_50
    | ~ spl0_21
    | spl0_47 ),
    inference(avatar_split_clause,[],[f220,f457,f343,f473,f513]) ).

fof(f220,plain,
    ! [X90,X91,X89] :
      ( c3_1(X89)
      | c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ c2_1(X90)
      | ~ c1_1(X90)
      | c0_1(X90)
      | ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f145]) ).

fof(f145,plain,
    ! [X90,X91,X89] :
      ( c3_1(X89)
      | c2_1(X89)
      | c1_1(X89)
      | ~ ndr1_0
      | ~ c2_1(X90)
      | ~ c1_1(X90)
      | c0_1(X90)
      | ~ ndr1_0
      | ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f517,plain,
    ( spl0_58
    | ~ spl0_21
    | spl0_51
    | spl0_13 ),
    inference(avatar_split_clause,[],[f221,f306,f477,f343,f513]) ).

fof(f221,plain,
    ! [X88,X87] :
      ( hskp0
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X88,X87] :
      ( hskp0
      | ~ c3_1(X87)
      | ~ c1_1(X87)
      | c2_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( spl0_57
    | ~ spl0_21
    | spl0_40
    | spl0_25 ),
    inference(avatar_split_clause,[],[f223,f359,f423,f343,f508]) ).

fof(f223,plain,
    ! [X82,X83] :
      ( hskp11
      | ~ c3_1(X82)
      | ~ c0_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | c3_1(X83)
      | c2_1(X83)
      | c0_1(X83) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X82,X83] :
      ( hskp11
      | ~ c3_1(X82)
      | ~ c0_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | c3_1(X83)
      | c2_1(X83)
      | c0_1(X83)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f500,plain,
    ( spl0_55
    | ~ spl0_21
    | spl0_33
    | spl0_25 ),
    inference(avatar_split_clause,[],[f228,f359,f393,f343,f497]) ).

fof(f228,plain,
    ! [X72,X73] :
      ( hskp11
      | ~ c1_1(X72)
      | ~ c0_1(X72)
      | c2_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X72,X73] :
      ( hskp11
      | ~ c1_1(X72)
      | ~ c0_1(X72)
      | c2_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_54
    | spl0_50
    | ~ spl0_21
    | spl0_40 ),
    inference(avatar_split_clause,[],[f230,f423,f343,f473,f490]) ).

fof(f230,plain,
    ! [X68,X66,X67] :
      ( ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ c1_1(X68)
      | c3_1(X68)
      | c0_1(X68) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X68,X66,X67] :
      ( ~ c3_1(X66)
      | ~ c0_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c2_1(X67)
      | ~ c1_1(X67)
      | c0_1(X67)
      | ~ ndr1_0
      | ~ c1_1(X68)
      | c3_1(X68)
      | c0_1(X68)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_54
    | ~ spl0_21
    | spl0_37
    | spl0_12 ),
    inference(avatar_split_clause,[],[f231,f301,f410,f343,f490]) ).

fof(f231,plain,
    ! [X65,X64] :
      ( hskp14
      | ~ c1_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65) ),
    inference(duplicate_literal_removal,[],[f157]) ).

fof(f157,plain,
    ! [X65,X64] :
      ( hskp14
      | ~ c1_1(X64)
      | c3_1(X64)
      | c2_1(X64)
      | ~ ndr1_0
      | ~ c1_1(X65)
      | c3_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f493,plain,
    ( ~ spl0_21
    | spl0_54
    | spl0_15
    | spl0_3 ),
    inference(avatar_split_clause,[],[f158,f261,f315,f490,f343]) ).

fof(f158,plain,
    ! [X63] :
      ( hskp16
      | hskp15
      | ~ c1_1(X63)
      | c3_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f492,plain,
    ( ~ spl0_21
    | spl0_54
    | spl0_32
    | spl0_1 ),
    inference(avatar_split_clause,[],[f159,f253,f388,f490,f343]) ).

fof(f159,plain,
    ! [X62] :
      ( hskp17
      | hskp29
      | ~ c1_1(X62)
      | c3_1(X62)
      | c0_1(X62)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f481,plain,
    ( spl0_50
    | ~ spl0_21
    | spl0_44
    | spl0_36 ),
    inference(avatar_split_clause,[],[f233,f405,f441,f343,f473]) ).

fof(f233,plain,
    ! [X58,X57] :
      ( hskp18
      | ~ c0_1(X57)
      | c3_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X58,X57] :
      ( hskp18
      | ~ c0_1(X57)
      | c3_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | ~ c1_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f479,plain,
    ( spl0_50
    | ~ spl0_21
    | spl0_51
    | spl0_23 ),
    inference(avatar_split_clause,[],[f235,f351,f477,f343,f473]) ).

fof(f235,plain,
    ! [X54,X53] :
      ( hskp27
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X54,X53] :
      ( hskp27
      | ~ c3_1(X53)
      | ~ c1_1(X53)
      | c2_1(X53)
      | ~ ndr1_0
      | ~ c2_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f475,plain,
    ( ~ spl0_21
    | spl0_50
    | spl0_15
    | spl0_2 ),
    inference(avatar_split_clause,[],[f164,f257,f315,f473,f343]) ).

fof(f164,plain,
    ! [X52] :
      ( hskp3
      | hskp15
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_48
    | spl0_45
    | ~ spl0_21
    | spl0_30 ),
    inference(avatar_split_clause,[],[f236,f381,f343,f447,f462]) ).

fof(f236,plain,
    ! [X50,X51,X49] :
      ( ~ c2_1(X49)
      | ~ c0_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51) ),
    inference(duplicate_literal_removal,[],[f165]) ).

fof(f165,plain,
    ! [X50,X51,X49] :
      ( ~ c2_1(X49)
      | ~ c0_1(X49)
      | c3_1(X49)
      | ~ ndr1_0
      | ~ c0_1(X50)
      | c2_1(X50)
      | c1_1(X50)
      | ~ ndr1_0
      | ~ c3_1(X51)
      | ~ c2_1(X51)
      | c0_1(X51)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f465,plain,
    ( spl0_48
    | ~ spl0_21
    | spl0_31
    | spl0_3 ),
    inference(avatar_split_clause,[],[f239,f261,f385,f343,f462]) ).

fof(f239,plain,
    ! [X42,X43] :
      ( hskp16
      | ~ c1_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X42,X43] :
      ( hskp16
      | ~ c1_1(X42)
      | ~ c0_1(X42)
      | c3_1(X42)
      | ~ ndr1_0
      | ~ c3_1(X43)
      | ~ c2_1(X43)
      | c0_1(X43)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_48
    | ~ spl0_21
    | spl0_22
    | spl0_5 ),
    inference(avatar_split_clause,[],[f240,f270,f347,f343,f462]) ).

fof(f240,plain,
    ! [X40,X41] :
      ( hskp2
      | ~ c3_1(X40)
      | ~ c2_1(X40)
      | ~ c1_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X40,X41] :
      ( hskp2
      | ~ c3_1(X40)
      | ~ c2_1(X40)
      | ~ c1_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f460,plain,
    ( spl0_47
    | ~ spl0_21
    | spl0_44
    | spl0_42 ),
    inference(avatar_split_clause,[],[f241,f430,f441,f343,f457]) ).

fof(f241,plain,
    ! [X38,X39] :
      ( hskp28
      | ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | c3_1(X39)
      | c2_1(X39)
      | c1_1(X39) ),
    inference(duplicate_literal_removal,[],[f170]) ).

fof(f170,plain,
    ! [X38,X39] :
      ( hskp28
      | ~ c0_1(X38)
      | c3_1(X38)
      | c1_1(X38)
      | ~ ndr1_0
      | c3_1(X39)
      | c2_1(X39)
      | c1_1(X39)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( spl0_47
    | spl0_40
    | ~ spl0_21
    | spl0_24 ),
    inference(avatar_split_clause,[],[f242,f356,f343,f423,f457]) ).

fof(f242,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | c3_1(X37)
      | c2_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X36,X37,X35] :
      ( ~ c3_1(X35)
      | ~ c2_1(X35)
      | ~ c0_1(X35)
      | ~ ndr1_0
      | ~ c3_1(X36)
      | ~ c0_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f455,plain,
    ( spl0_45
    | ~ spl0_21
    | spl0_43
    | spl0_5 ),
    inference(avatar_split_clause,[],[f243,f270,f437,f343,f447]) ).

fof(f243,plain,
    ! [X34,X33] :
      ( hskp2
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34) ),
    inference(duplicate_literal_removal,[],[f172]) ).

fof(f172,plain,
    ! [X34,X33] :
      ( hskp2
      | ~ c2_1(X33)
      | c3_1(X33)
      | c1_1(X33)
      | ~ ndr1_0
      | ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( ~ spl0_21
    | spl0_45
    | spl0_3 ),
    inference(avatar_split_clause,[],[f174,f261,f447,f343]) ).

fof(f174,plain,
    ! [X31] :
      ( hskp16
      | ~ c0_1(X31)
      | c2_1(X31)
      | c1_1(X31)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f443,plain,
    ( ~ spl0_21
    | spl0_44
    | spl0_15
    | spl0_13 ),
    inference(avatar_split_clause,[],[f177,f306,f315,f441,f343]) ).

fof(f177,plain,
    ! [X27] :
      ( hskp0
      | hskp15
      | ~ c0_1(X27)
      | c3_1(X27)
      | c1_1(X27)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f439,plain,
    ( spl0_43
    | spl0_31
    | ~ spl0_21
    | spl0_27 ),
    inference(avatar_split_clause,[],[f245,f368,f343,f385,f437]) ).

fof(f245,plain,
    ! [X26,X24,X25] :
      ( ~ c3_1(X24)
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c1_1(X25)
      | ~ c0_1(X25)
      | c3_1(X25)
      | ~ c2_1(X26)
      | c3_1(X26)
      | c1_1(X26) ),
    inference(duplicate_literal_removal,[],[f178]) ).

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

fof(f434,plain,
    ( spl0_41
    | ~ spl0_21
    | spl0_39
    | spl0_14 ),
    inference(avatar_split_clause,[],[f247,f310,f419,f343,f427]) ).

fof(f247,plain,
    ! [X21,X20] :
      ( hskp10
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X21,X20] :
      ( hskp10
      | ~ c3_1(X20)
      | ~ c2_1(X20)
      | c1_1(X20)
      | ~ ndr1_0
      | ~ c2_1(X21)
      | ~ c0_1(X21)
      | c1_1(X21)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f425,plain,
    ( ~ spl0_21
    | spl0_40
    | spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f182,f261,f297,f423,f343]) ).

fof(f182,plain,
    ! [X18] :
      ( hskp16
      | hskp13
      | ~ c3_1(X18)
      | ~ c0_1(X18)
      | c1_1(X18)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f412,plain,
    ( ~ spl0_21
    | spl0_37
    | spl0_11
    | spl0_3 ),
    inference(avatar_split_clause,[],[f185,f261,f297,f410,f343]) ).

fof(f185,plain,
    ! [X14] :
      ( hskp16
      | hskp13
      | ~ c1_1(X14)
      | c3_1(X14)
      | c2_1(X14)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f408,plain,
    ( spl0_33
    | ~ spl0_21
    | spl0_31
    | spl0_36 ),
    inference(avatar_split_clause,[],[f249,f405,f385,f343,f393]) ).

fof(f249,plain,
    ! [X12,X13] :
      ( hskp18
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X12,X13] :
      ( hskp18
      | ~ c1_1(X12)
      | ~ c0_1(X12)
      | c3_1(X12)
      | ~ ndr1_0
      | ~ c1_1(X13)
      | ~ c0_1(X13)
      | c2_1(X13)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f395,plain,
    ( ~ spl0_21
    | spl0_33
    | spl0_1
    | spl0_14 ),
    inference(avatar_split_clause,[],[f188,f310,f253,f393,f343]) ).

fof(f188,plain,
    ! [X9] :
      ( hskp10
      | hskp17
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | c2_1(X9)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f383,plain,
    ( ~ spl0_21
    | spl0_30
    | spl0_25
    | spl0_14 ),
    inference(avatar_split_clause,[],[f190,f310,f359,f381,f343]) ).

fof(f190,plain,
    ! [X7] :
      ( hskp10
      | hskp11
      | ~ c2_1(X7)
      | ~ c0_1(X7)
      | c3_1(X7)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_21
    | spl0_28
    | spl0_13
    | spl0_10 ),
    inference(avatar_split_clause,[],[f192,f292,f306,f372,f343]) ).

fof(f192,plain,
    ! [X4] :
      ( hskp22
      | hskp0
      | ~ c2_1(X4)
      | ~ c1_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( ~ spl0_21
    | spl0_24
    | spl0_25
    | spl0_26 ),
    inference(avatar_split_clause,[],[f194,f363,f359,f356,f343]) ).

fof(f194,plain,
    ! [X2] :
      ( hskp1
      | hskp11
      | ~ c3_1(X2)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f341,plain,
    ( spl0_18
    | spl0_19
    | spl0_20 ),
    inference(avatar_split_clause,[],[f197,f338,f334,f330]) ).

fof(f197,plain,
    ( hskp23
    | hskp4
    | hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f318,plain,
    ( spl0_15
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f200,f261,f257,f315]) ).

fof(f200,plain,
    ( hskp16
    | hskp3
    | hskp15 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f313,plain,
    ( spl0_11
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f201,f310,f306,f297]) ).

fof(f201,plain,
    ( hskp10
    | hskp0
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f304,plain,
    ( spl0_11
    | spl0_4
    | spl0_12 ),
    inference(avatar_split_clause,[],[f202,f301,f266,f297]) ).

fof(f202,plain,
    ( hskp14
    | hskp24
    | hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f282,plain,
    ( spl0_4
    | spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f204,f253,f279,f266]) ).

fof(f204,plain,
    ( hskp17
    | hskp26
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f277,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f205,f274,f270,f266]) ).

fof(f205,plain,
    ( hskp9
    | hskp2
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f264,plain,
    ( spl0_1
    | spl0_2
    | spl0_3 ),
    inference(avatar_split_clause,[],[f206,f261,f257,f253]) ).

fof(f206,plain,
    ( hskp16
    | hskp3
    | hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN486+1 : TPTP v8.2.0. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Mon May 20 14:52:53 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.35  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.54/0.74  % (18308)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on theBenchmark for (2996ds/56Mi)
% 0.60/0.74  % (18301)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on theBenchmark for (2996ds/34Mi)
% 0.60/0.74  % (18304)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on theBenchmark for (2996ds/33Mi)
% 0.60/0.74  % (18302)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on theBenchmark for (2996ds/51Mi)
% 0.60/0.74  % (18306)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on theBenchmark for (2996ds/45Mi)
% 0.60/0.74  % (18305)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on theBenchmark for (2996ds/34Mi)
% 0.60/0.74  % (18307)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on theBenchmark for (2996ds/83Mi)
% 0.60/0.74  % (18303)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on theBenchmark for (2996ds/78Mi)
% 0.60/0.76  % (18304)Instruction limit reached!
% 0.60/0.76  % (18304)------------------------------
% 0.60/0.76  % (18304)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (18304)Termination reason: Unknown
% 0.60/0.76  % (18304)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (18304)Memory used [KB]: 2171
% 0.60/0.76  % (18304)Time elapsed: 0.020 s
% 0.60/0.76  % (18304)Instructions burned: 33 (million)
% 0.60/0.76  % (18304)------------------------------
% 0.60/0.76  % (18304)------------------------------
% 0.60/0.76  % (18308)Instruction limit reached!
% 0.60/0.76  % (18308)------------------------------
% 0.60/0.76  % (18308)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (18308)Termination reason: Unknown
% 0.60/0.76  % (18308)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (18308)Memory used [KB]: 2398
% 0.60/0.76  % (18308)Time elapsed: 0.021 s
% 0.60/0.76  % (18308)Instructions burned: 56 (million)
% 0.60/0.76  % (18308)------------------------------
% 0.60/0.76  % (18308)------------------------------
% 0.60/0.76  % (18301)Instruction limit reached!
% 0.60/0.76  % (18301)------------------------------
% 0.60/0.76  % (18301)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (18301)Termination reason: Unknown
% 0.60/0.76  % (18301)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (18301)Memory used [KB]: 2060
% 0.60/0.76  % (18301)Time elapsed: 0.021 s
% 0.60/0.76  % (18301)Instructions burned: 34 (million)
% 0.60/0.76  % (18301)------------------------------
% 0.60/0.76  % (18301)------------------------------
% 0.60/0.76  % (18305)Instruction limit reached!
% 0.60/0.76  % (18305)------------------------------
% 0.60/0.76  % (18305)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.76  % (18305)Termination reason: Unknown
% 0.60/0.76  % (18305)Termination phase: Saturation
% 0.60/0.76  
% 0.60/0.76  % (18305)Memory used [KB]: 2171
% 0.60/0.76  % (18305)Time elapsed: 0.021 s
% 0.60/0.76  % (18305)Instructions burned: 34 (million)
% 0.60/0.76  % (18305)------------------------------
% 0.60/0.76  % (18305)------------------------------
% 0.60/0.77  % (18310)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on theBenchmark for (2996ds/50Mi)
% 0.60/0.77  % (18309)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on theBenchmark for (2996ds/55Mi)
% 0.60/0.77  % (18311)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on theBenchmark for (2996ds/208Mi)
% 0.60/0.77  % (18312)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on theBenchmark for (2996ds/52Mi)
% 0.60/0.77  % (18306)Instruction limit reached!
% 0.60/0.77  % (18306)------------------------------
% 0.60/0.77  % (18306)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.77  % (18306)Termination reason: Unknown
% 0.60/0.77  % (18306)Termination phase: Saturation
% 0.60/0.77  
% 0.60/0.77  % (18306)Memory used [KB]: 2233
% 0.60/0.77  % (18306)Time elapsed: 0.028 s
% 0.60/0.77  % (18306)Instructions burned: 45 (million)
% 0.60/0.77  % (18306)------------------------------
% 0.60/0.77  % (18306)------------------------------
% 0.60/0.77  % (18302)First to succeed.
% 0.60/0.78  % (18313)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on theBenchmark for (2995ds/518Mi)
% 0.60/0.78  % (18310)Instruction limit reached!
% 0.60/0.78  % (18310)------------------------------
% 0.60/0.78  % (18310)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.78  % (18310)Termination reason: Unknown
% 0.60/0.78  % (18310)Termination phase: Saturation
% 0.60/0.78  
% 0.60/0.78  % (18310)Memory used [KB]: 1624
% 0.60/0.78  % (18310)Time elapsed: 0.016 s
% 0.60/0.78  % (18310)Instructions burned: 50 (million)
% 0.60/0.78  % (18310)------------------------------
% 0.60/0.78  % (18310)------------------------------
% 0.60/0.78  % (18314)lrs+1011_87677:1048576_sil=8000:sos=on:spb=non_intro:nwc=10.0:kmz=on:i=42:ep=RS:nm=0:ins=1:uhcvi=on:rawr=on:fde=unused:afp=2000:afq=1.444:plsq=on:nicw=on_0 on theBenchmark for (2995ds/42Mi)
% 0.60/0.78  % (18302)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-18300"
% 0.60/0.79  % (18302)Refutation found. Thanks to Tanya!
% 0.60/0.79  % SZS status Theorem for theBenchmark
% 0.60/0.79  % SZS output start Proof for theBenchmark
% See solution above
% 0.60/0.79  % (18302)------------------------------
% 0.60/0.79  % (18302)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.60/0.79  % (18302)Termination reason: Refutation
% 0.60/0.79  
% 0.60/0.79  % (18302)Memory used [KB]: 2026
% 0.60/0.79  % (18302)Time elapsed: 0.041 s
% 0.60/0.79  % (18302)Instructions burned: 73 (million)
% 0.60/0.79  % (18300)Success in time 0.418 s
% 0.60/0.79  % Vampire---4.8 exiting
%------------------------------------------------------------------------------