TSTP Solution File: SYN473+1 by Vampire---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire---4.8
% Problem  : SYN473+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s

% Computer : 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 : Wed May  1 04:34:55 EDT 2024

% Result   : Theorem 0.66s 0.84s
% Output   : Refutation 0.66s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  142
% Syntax   : Number of formulae    :  633 (   1 unt;   0 def)
%            Number of atoms       : 6403 (   0 equ)
%            Maximal formula atoms :  704 (  10 avg)
%            Number of connectives : 8623 (2853   ~;4015   |;1170   &)
%                                         ( 141 <=>; 444  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  109 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  178 ( 177 usr; 174 prp; 0-1 aty)
%            Number of functors    :   31 (  31 usr;  31 con; 0-0 aty)
%            Number of variables   :  851 ( 851   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f2084,plain,
    $false,
    inference(avatar_sat_refutation,[],[f262,f275,f280,f289,f298,f307,f315,f316,f329,f334,f353,f365,f369,f374,f379,f389,f390,f394,f406,f414,f418,f423,f431,f435,f436,f440,f444,f448,f450,f454,f458,f459,f466,f476,f477,f482,f486,f487,f488,f494,f495,f499,f505,f510,f528,f533,f538,f544,f549,f554,f560,f565,f570,f576,f581,f586,f592,f597,f602,f635,f640,f645,f650,f656,f661,f666,f672,f677,f682,f688,f693,f698,f704,f709,f714,f720,f725,f730,f784,f789,f794,f800,f805,f810,f816,f821,f826,f832,f837,f842,f848,f853,f858,f864,f869,f874,f880,f885,f890,f917,f922,f928,f933,f938,f939,f944,f949,f954,f955,f960,f965,f970,f976,f986,f992,f997,f1002,f1023,f1033,f1038,f1049,f1050,f1056,f1066,f1082,f1087,f1117,f1124,f1125,f1126,f1134,f1135,f1140,f1159,f1160,f1171,f1176,f1191,f1196,f1199,f1202,f1231,f1251,f1261,f1274,f1275,f1287,f1295,f1304,f1314,f1319,f1340,f1362,f1363,f1364,f1382,f1414,f1436,f1466,f1467,f1469,f1478,f1484,f1486,f1489,f1491,f1492,f1570,f1571,f1572,f1593,f1601,f1602,f1611,f1612,f1633,f1634,f1699,f1755,f1770,f1775,f1813,f1894,f1929,f1950,f1968,f1969,f1970,f1988,f2022,f2023,f2031,f2079,f2080]) ).

fof(f2080,plain,
    ( spl0_120
    | ~ spl0_121
    | ~ spl0_57
    | spl0_161 ),
    inference(avatar_split_clause,[],[f2072,f1084,f497,f839,f834]) ).

fof(f834,plain,
    ( spl0_120
  <=> c1_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f839,plain,
    ( spl0_121
  <=> c3_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f497,plain,
    ( spl0_57
  <=> ! [X88] :
        ( ~ c3_1(X88)
        | c0_1(X88)
        | c1_1(X88) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f1084,plain,
    ( spl0_161
  <=> c0_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f2072,plain,
    ( ~ c3_1(a808)
    | c1_1(a808)
    | ~ spl0_57
    | spl0_161 ),
    inference(resolution,[],[f498,f1086]) ).

fof(f1086,plain,
    ( ~ c0_1(a808)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1084]) ).

fof(f498,plain,
    ( ! [X88] :
        ( c0_1(X88)
        | ~ c3_1(X88)
        | c1_1(X88) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f497]) ).

fof(f2079,plain,
    ( spl0_137
    | ~ spl0_139
    | ~ spl0_57
    | spl0_138 ),
    inference(avatar_split_clause,[],[f2071,f930,f497,f935,f925]) ).

fof(f925,plain,
    ( spl0_137
  <=> c1_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f935,plain,
    ( spl0_139
  <=> c3_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f930,plain,
    ( spl0_138
  <=> c0_1(a800) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2071,plain,
    ( ~ c3_1(a800)
    | c1_1(a800)
    | ~ spl0_57
    | spl0_138 ),
    inference(resolution,[],[f498,f932]) ).

fof(f932,plain,
    ( ~ c0_1(a800)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f930]) ).

fof(f2031,plain,
    ( ~ spl0_136
    | spl0_135
    | ~ spl0_46
    | ~ spl0_184 ),
    inference(avatar_split_clause,[],[f2028,f1923,f438,f914,f919]) ).

fof(f919,plain,
    ( spl0_136
  <=> c2_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f914,plain,
    ( spl0_135
  <=> c0_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f438,plain,
    ( spl0_46
  <=> ! [X38] :
        ( ~ c3_1(X38)
        | c0_1(X38)
        | ~ c2_1(X38) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f1923,plain,
    ( spl0_184
  <=> c3_1(a802) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_184])]) ).

fof(f2028,plain,
    ( c0_1(a802)
    | ~ c2_1(a802)
    | ~ spl0_46
    | ~ spl0_184 ),
    inference(resolution,[],[f1925,f439]) ).

fof(f439,plain,
    ( ! [X38] :
        ( ~ c3_1(X38)
        | c0_1(X38)
        | ~ c2_1(X38) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f438]) ).

fof(f1925,plain,
    ( c3_1(a802)
    | ~ spl0_184 ),
    inference(avatar_component_clause,[],[f1923]) ).

fof(f2023,plain,
    ( spl0_184
    | spl0_135
    | ~ spl0_51
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f2008,f919,f461,f914,f1923]) ).

fof(f461,plain,
    ( spl0_51
  <=> ! [X53] :
        ( ~ c2_1(X53)
        | c0_1(X53)
        | c3_1(X53) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f2008,plain,
    ( c0_1(a802)
    | c3_1(a802)
    | ~ spl0_51
    | ~ spl0_136 ),
    inference(resolution,[],[f462,f921]) ).

fof(f921,plain,
    ( c2_1(a802)
    | ~ spl0_136 ),
    inference(avatar_component_clause,[],[f919]) ).

fof(f462,plain,
    ( ! [X53] :
        ( ~ c2_1(X53)
        | c0_1(X53)
        | c3_1(X53) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f461]) ).

fof(f2022,plain,
    ( spl0_146
    | spl0_148
    | ~ spl0_51
    | ~ spl0_178 ),
    inference(avatar_split_clause,[],[f2005,f1567,f461,f983,f973]) ).

fof(f973,plain,
    ( spl0_146
  <=> c3_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_146])]) ).

fof(f983,plain,
    ( spl0_148
  <=> c0_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f1567,plain,
    ( spl0_178
  <=> c2_1(a795) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f2005,plain,
    ( c0_1(a795)
    | c3_1(a795)
    | ~ spl0_51
    | ~ spl0_178 ),
    inference(resolution,[],[f462,f1569]) ).

fof(f1569,plain,
    ( c2_1(a795)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f1567]) ).

fof(f1988,plain,
    ( ~ spl0_182
    | spl0_86
    | ~ spl0_46
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1981,f658,f438,f653,f1782]) ).

fof(f1782,plain,
    ( spl0_182
  <=> c2_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f653,plain,
    ( spl0_86
  <=> c0_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f658,plain,
    ( spl0_87
  <=> c3_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f1981,plain,
    ( c0_1(a840)
    | ~ c2_1(a840)
    | ~ spl0_46
    | ~ spl0_87 ),
    inference(resolution,[],[f439,f660]) ).

fof(f660,plain,
    ( c3_1(a840)
    | ~ spl0_87 ),
    inference(avatar_component_clause,[],[f658]) ).

fof(f1970,plain,
    ( ~ spl0_162
    | ~ spl0_64
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1962,f530,f442,f535,f1093]) ).

fof(f1093,plain,
    ( spl0_162
  <=> c2_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_162])]) ).

fof(f535,plain,
    ( spl0_64
  <=> c0_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f442,plain,
    ( spl0_47
  <=> ! [X40] :
        ( ~ c2_1(X40)
        | ~ c0_1(X40)
        | ~ c1_1(X40) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f530,plain,
    ( spl0_63
  <=> c1_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f1962,plain,
    ( ~ c0_1(a867)
    | ~ c2_1(a867)
    | ~ spl0_47
    | ~ spl0_63 ),
    inference(resolution,[],[f443,f532]) ).

fof(f532,plain,
    ( c1_1(a867)
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f530]) ).

fof(f443,plain,
    ( ! [X40] :
        ( ~ c1_1(X40)
        | ~ c0_1(X40)
        | ~ c2_1(X40) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f442]) ).

fof(f1969,plain,
    ( ~ spl0_65
    | ~ spl0_67
    | ~ spl0_47
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1961,f546,f442,f551,f541]) ).

fof(f541,plain,
    ( spl0_65
  <=> c2_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f551,plain,
    ( spl0_67
  <=> c0_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f546,plain,
    ( spl0_66
  <=> c1_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_66])]) ).

fof(f1961,plain,
    ( ~ c0_1(a829)
    | ~ c2_1(a829)
    | ~ spl0_47
    | ~ spl0_66 ),
    inference(resolution,[],[f443,f548]) ).

fof(f548,plain,
    ( c1_1(a829)
    | ~ spl0_66 ),
    inference(avatar_component_clause,[],[f546]) ).

fof(f1968,plain,
    ( ~ spl0_69
    | ~ spl0_156
    | ~ spl0_47
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1960,f567,f442,f1035,f562]) ).

fof(f562,plain,
    ( spl0_69
  <=> c2_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1035,plain,
    ( spl0_156
  <=> c0_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f567,plain,
    ( spl0_70
  <=> c1_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f1960,plain,
    ( ~ c0_1(a797)
    | ~ c2_1(a797)
    | ~ spl0_47
    | ~ spl0_70 ),
    inference(resolution,[],[f443,f569]) ).

fof(f569,plain,
    ( c1_1(a797)
    | ~ spl0_70 ),
    inference(avatar_component_clause,[],[f567]) ).

fof(f1950,plain,
    ( ~ spl0_88
    | spl0_182
    | ~ spl0_45
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f1944,f658,f433,f1782,f663]) ).

fof(f663,plain,
    ( spl0_88
  <=> c1_1(a840) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f433,plain,
    ( spl0_45
  <=> ! [X34] :
        ( ~ c3_1(X34)
        | c2_1(X34)
        | ~ c1_1(X34) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_45])]) ).

fof(f1944,plain,
    ( c2_1(a840)
    | ~ c1_1(a840)
    | ~ spl0_45
    | ~ spl0_87 ),
    inference(resolution,[],[f434,f660]) ).

fof(f434,plain,
    ( ! [X34] :
        ( ~ c3_1(X34)
        | c2_1(X34)
        | ~ c1_1(X34) )
    | ~ spl0_45 ),
    inference(avatar_component_clause,[],[f433]) ).

fof(f1929,plain,
    ( ~ spl0_91
    | spl0_89
    | ~ spl0_30
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1848,f674,f367,f669,f679]) ).

fof(f679,plain,
    ( spl0_91
  <=> c0_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f669,plain,
    ( spl0_89
  <=> c2_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f367,plain,
    ( spl0_30
  <=> ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f674,plain,
    ( spl0_90
  <=> c3_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1848,plain,
    ( c2_1(a838)
    | ~ c0_1(a838)
    | ~ spl0_30
    | ~ spl0_90 ),
    inference(resolution,[],[f368,f676]) ).

fof(f676,plain,
    ( c3_1(a838)
    | ~ spl0_90 ),
    inference(avatar_component_clause,[],[f674]) ).

fof(f368,plain,
    ( ! [X12] :
        ( ~ c3_1(X12)
        | c2_1(X12)
        | ~ c0_1(X12) )
    | ~ spl0_30 ),
    inference(avatar_component_clause,[],[f367]) ).

fof(f1894,plain,
    ( ~ spl0_145
    | spl0_143
    | ~ spl0_27
    | ~ spl0_164 ),
    inference(avatar_split_clause,[],[f1892,f1113,f355,f957,f967]) ).

fof(f967,plain,
    ( spl0_145
  <=> c0_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f957,plain,
    ( spl0_143
  <=> c3_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f355,plain,
    ( spl0_27
  <=> ! [X11] :
        ( ~ c1_1(X11)
        | c3_1(X11)
        | ~ c0_1(X11) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f1113,plain,
    ( spl0_164
  <=> c1_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_164])]) ).

fof(f1892,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_27
    | ~ spl0_164 ),
    inference(resolution,[],[f1115,f356]) ).

fof(f356,plain,
    ( ! [X11] :
        ( ~ c1_1(X11)
        | c3_1(X11)
        | ~ c0_1(X11) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f355]) ).

fof(f1115,plain,
    ( c1_1(a798)
    | ~ spl0_164 ),
    inference(avatar_component_clause,[],[f1113]) ).

fof(f1813,plain,
    ( ~ spl0_91
    | spl0_89
    | ~ spl0_31
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f1807,f1053,f371,f669,f679]) ).

fof(f371,plain,
    ( spl0_31
  <=> ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f1053,plain,
    ( spl0_158
  <=> c1_1(a838) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f1807,plain,
    ( c2_1(a838)
    | ~ c0_1(a838)
    | ~ spl0_31
    | ~ spl0_158 ),
    inference(resolution,[],[f372,f1054]) ).

fof(f1054,plain,
    ( c1_1(a838)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1053]) ).

fof(f372,plain,
    ( ! [X13] :
        ( ~ c1_1(X13)
        | c2_1(X13)
        | ~ c0_1(X13) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f371]) ).

fof(f1775,plain,
    ( ~ spl0_72
    | ~ spl0_157
    | ~ spl0_18
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1661,f573,f313,f1045,f578]) ).

fof(f578,plain,
    ( spl0_72
  <=> c2_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f1045,plain,
    ( spl0_157
  <=> c1_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f313,plain,
    ( spl0_18
  <=> ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f573,plain,
    ( spl0_71
  <=> c3_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f1661,plain,
    ( ~ c1_1(a796)
    | ~ c2_1(a796)
    | ~ spl0_18
    | ~ spl0_71 ),
    inference(resolution,[],[f314,f575]) ).

fof(f575,plain,
    ( c3_1(a796)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f573]) ).

fof(f314,plain,
    ( ! [X0] :
        ( ~ c3_1(X0)
        | ~ c1_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_18 ),
    inference(avatar_component_clause,[],[f313]) ).

fof(f1770,plain,
    ( spl0_43
    | ~ spl0_41
    | ~ spl0_56 ),
    inference(avatar_split_clause,[],[f1769,f491,f416,f425]) ).

fof(f425,plain,
    ( spl0_43
  <=> ! [X33] :
        ( c3_1(X33)
        | c1_1(X33)
        | c2_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f416,plain,
    ( spl0_41
  <=> ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | c2_1(X30) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f491,plain,
    ( spl0_56
  <=> ! [X81] :
        ( c3_1(X81)
        | c0_1(X81)
        | c2_1(X81) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1769,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_41
    | ~ spl0_56 ),
    inference(duplicate_literal_removal,[],[f1757]) ).

fof(f1757,plain,
    ( ! [X0] :
        ( c3_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_41
    | ~ spl0_56 ),
    inference(resolution,[],[f492,f417]) ).

fof(f417,plain,
    ( ! [X30] :
        ( ~ c0_1(X30)
        | c1_1(X30)
        | c2_1(X30) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f416]) ).

fof(f492,plain,
    ( ! [X81] :
        ( c0_1(X81)
        | c3_1(X81)
        | c2_1(X81) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f1755,plain,
    ( ~ spl0_117
    | ~ spl0_118
    | ~ spl0_18
    | ~ spl0_181 ),
    inference(avatar_split_clause,[],[f1753,f1630,f313,f823,f818]) ).

fof(f818,plain,
    ( spl0_117
  <=> c2_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f823,plain,
    ( spl0_118
  <=> c1_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_118])]) ).

fof(f1630,plain,
    ( spl0_181
  <=> c3_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_181])]) ).

fof(f1753,plain,
    ( ~ c1_1(a809)
    | ~ c2_1(a809)
    | ~ spl0_18
    | ~ spl0_181 ),
    inference(resolution,[],[f1632,f314]) ).

fof(f1632,plain,
    ( c3_1(a809)
    | ~ spl0_181 ),
    inference(avatar_component_clause,[],[f1630]) ).

fof(f1699,plain,
    ( spl0_110
    | spl0_111
    | ~ spl0_41
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1689,f791,f416,f786,f781]) ).

fof(f781,plain,
    ( spl0_110
  <=> c2_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f786,plain,
    ( spl0_111
  <=> c1_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f791,plain,
    ( spl0_112
  <=> c0_1(a816) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1689,plain,
    ( c1_1(a816)
    | c2_1(a816)
    | ~ spl0_41
    | ~ spl0_112 ),
    inference(resolution,[],[f417,f793]) ).

fof(f793,plain,
    ( c0_1(a816)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f791]) ).

fof(f1634,plain,
    ( ~ spl0_117
    | spl0_116
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1627,f823,f452,f813,f818]) ).

fof(f813,plain,
    ( spl0_116
  <=> c0_1(a809) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_116])]) ).

fof(f452,plain,
    ( spl0_49
  <=> ! [X48] :
        ( ~ c2_1(X48)
        | c0_1(X48)
        | ~ c1_1(X48) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_49])]) ).

fof(f1627,plain,
    ( c0_1(a809)
    | ~ c2_1(a809)
    | ~ spl0_49
    | ~ spl0_118 ),
    inference(resolution,[],[f825,f453]) ).

fof(f453,plain,
    ( ! [X48] :
        ( ~ c1_1(X48)
        | c0_1(X48)
        | ~ c2_1(X48) )
    | ~ spl0_49 ),
    inference(avatar_component_clause,[],[f452]) ).

fof(f825,plain,
    ( c1_1(a809)
    | ~ spl0_118 ),
    inference(avatar_component_clause,[],[f823]) ).

fof(f1633,plain,
    ( spl0_181
    | spl0_116
    | ~ spl0_52
    | ~ spl0_118 ),
    inference(avatar_split_clause,[],[f1626,f823,f469,f813,f1630]) ).

fof(f469,plain,
    ( spl0_52
  <=> ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | c3_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_52])]) ).

fof(f1626,plain,
    ( c0_1(a809)
    | c3_1(a809)
    | ~ spl0_52
    | ~ spl0_118 ),
    inference(resolution,[],[f825,f470]) ).

fof(f470,plain,
    ( ! [X62] :
        ( ~ c1_1(X62)
        | c0_1(X62)
        | c3_1(X62) )
    | ~ spl0_52 ),
    inference(avatar_component_clause,[],[f469]) ).

fof(f1612,plain,
    ( ~ spl0_173
    | spl0_114
    | ~ spl0_49
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1608,f807,f452,f802,f1316]) ).

fof(f1316,plain,
    ( spl0_173
  <=> c2_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f802,plain,
    ( spl0_114
  <=> c0_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_114])]) ).

fof(f807,plain,
    ( spl0_115
  <=> c1_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_115])]) ).

fof(f1608,plain,
    ( c0_1(a814)
    | ~ c2_1(a814)
    | ~ spl0_49
    | ~ spl0_115 ),
    inference(resolution,[],[f809,f453]) ).

fof(f809,plain,
    ( c1_1(a814)
    | ~ spl0_115 ),
    inference(avatar_component_clause,[],[f807]) ).

fof(f1611,plain,
    ( spl0_113
    | spl0_114
    | ~ spl0_52
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1607,f807,f469,f802,f797]) ).

fof(f797,plain,
    ( spl0_113
  <=> c3_1(a814) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f1607,plain,
    ( c0_1(a814)
    | c3_1(a814)
    | ~ spl0_52
    | ~ spl0_115 ),
    inference(resolution,[],[f809,f470]) ).

fof(f1602,plain,
    ( spl0_83
    | spl0_165
    | ~ spl0_38
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1589,f647,f404,f1137,f637]) ).

fof(f637,plain,
    ( spl0_83
  <=> c3_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_83])]) ).

fof(f1137,plain,
    ( spl0_165
  <=> c1_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f404,plain,
    ( spl0_38
  <=> ! [X28] :
        ( ~ c0_1(X28)
        | c1_1(X28)
        | c3_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f647,plain,
    ( spl0_85
  <=> c0_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1589,plain,
    ( c1_1(a856)
    | c3_1(a856)
    | ~ spl0_38
    | ~ spl0_85 ),
    inference(resolution,[],[f405,f649]) ).

fof(f649,plain,
    ( c0_1(a856)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f647]) ).

fof(f405,plain,
    ( ! [X28] :
        ( ~ c0_1(X28)
        | c1_1(X28)
        | c3_1(X28) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f404]) ).

fof(f1601,plain,
    ( spl0_95
    | spl0_96
    | ~ spl0_38
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f1587,f1063,f404,f706,f701]) ).

fof(f701,plain,
    ( spl0_95
  <=> c3_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f706,plain,
    ( spl0_96
  <=> c1_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f1063,plain,
    ( spl0_159
  <=> c0_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f1587,plain,
    ( c1_1(a832)
    | c3_1(a832)
    | ~ spl0_38
    | ~ spl0_159 ),
    inference(resolution,[],[f405,f1064]) ).

fof(f1064,plain,
    ( c0_1(a832)
    | ~ spl0_159 ),
    inference(avatar_component_clause,[],[f1063]) ).

fof(f1593,plain,
    ( spl0_143
    | spl0_164
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f1580,f967,f404,f1113,f957]) ).

fof(f1580,plain,
    ( c1_1(a798)
    | c3_1(a798)
    | ~ spl0_38
    | ~ spl0_145 ),
    inference(resolution,[],[f405,f969]) ).

fof(f969,plain,
    ( c0_1(a798)
    | ~ spl0_145 ),
    inference(avatar_component_clause,[],[f967]) ).

fof(f1572,plain,
    ( spl0_123
    | spl0_122
    | ~ spl0_56
    | spl0_124 ),
    inference(avatar_split_clause,[],[f1558,f855,f491,f845,f850]) ).

fof(f850,plain,
    ( spl0_123
  <=> c2_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f845,plain,
    ( spl0_122
  <=> c3_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f855,plain,
    ( spl0_124
  <=> c0_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f1558,plain,
    ( c3_1(a807)
    | c2_1(a807)
    | ~ spl0_56
    | spl0_124 ),
    inference(resolution,[],[f492,f857]) ).

fof(f857,plain,
    ( ~ c0_1(a807)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f855]) ).

fof(f1571,plain,
    ( spl0_129
    | spl0_128
    | ~ spl0_56
    | spl0_168 ),
    inference(avatar_split_clause,[],[f1557,f1173,f491,f877,f882]) ).

fof(f882,plain,
    ( spl0_129
  <=> c2_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f877,plain,
    ( spl0_128
  <=> c3_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1173,plain,
    ( spl0_168
  <=> c0_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_168])]) ).

fof(f1557,plain,
    ( c3_1(a805)
    | c2_1(a805)
    | ~ spl0_56
    | spl0_168 ),
    inference(resolution,[],[f492,f1175]) ).

fof(f1175,plain,
    ( ~ c0_1(a805)
    | spl0_168 ),
    inference(avatar_component_clause,[],[f1173]) ).

fof(f1570,plain,
    ( spl0_178
    | spl0_146
    | ~ spl0_56
    | spl0_148 ),
    inference(avatar_split_clause,[],[f1555,f983,f491,f973,f1567]) ).

fof(f1555,plain,
    ( c3_1(a795)
    | c2_1(a795)
    | ~ spl0_56
    | spl0_148 ),
    inference(resolution,[],[f492,f985]) ).

fof(f985,plain,
    ( ~ c0_1(a795)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f983]) ).

fof(f1492,plain,
    ( spl0_163
    | spl0_92
    | ~ spl0_32
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1310,f695,f376,f685,f1101]) ).

fof(f1101,plain,
    ( spl0_163
  <=> c3_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f685,plain,
    ( spl0_92
  <=> c2_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f376,plain,
    ( spl0_32
  <=> ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | c3_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f695,plain,
    ( spl0_94
  <=> c1_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1310,plain,
    ( c2_1(a833)
    | c3_1(a833)
    | ~ spl0_32
    | ~ spl0_94 ),
    inference(resolution,[],[f377,f697]) ).

fof(f697,plain,
    ( c1_1(a833)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f695]) ).

fof(f377,plain,
    ( ! [X16] :
        ( ~ c1_1(X16)
        | c2_1(X16)
        | c3_1(X16) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f1491,plain,
    ( spl0_163
    | spl0_93
    | ~ spl0_52
    | ~ spl0_94 ),
    inference(avatar_split_clause,[],[f1452,f695,f469,f690,f1101]) ).

fof(f690,plain,
    ( spl0_93
  <=> c0_1(a833) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1452,plain,
    ( c0_1(a833)
    | c3_1(a833)
    | ~ spl0_52
    | ~ spl0_94 ),
    inference(resolution,[],[f470,f697]) ).

fof(f1489,plain,
    ( ~ spl0_157
    | ~ spl0_73
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1483,f573,f336,f583,f1045]) ).

fof(f583,plain,
    ( spl0_73
  <=> c0_1(a796) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f336,plain,
    ( spl0_23
  <=> ! [X5] :
        ( ~ c3_1(X5)
        | ~ c0_1(X5)
        | ~ c1_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f1483,plain,
    ( ~ c0_1(a796)
    | ~ c1_1(a796)
    | ~ spl0_23
    | ~ spl0_71 ),
    inference(resolution,[],[f575,f337]) ).

fof(f337,plain,
    ( ! [X5] :
        ( ~ c3_1(X5)
        | ~ c0_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_23 ),
    inference(avatar_component_clause,[],[f336]) ).

fof(f1486,plain,
    ( ~ spl0_64
    | spl0_162
    | ~ spl0_31
    | ~ spl0_63 ),
    inference(avatar_split_clause,[],[f1286,f530,f371,f1093,f535]) ).

fof(f1286,plain,
    ( c2_1(a867)
    | ~ c0_1(a867)
    | ~ spl0_31
    | ~ spl0_63 ),
    inference(resolution,[],[f372,f532]) ).

fof(f1484,plain,
    ( ~ spl0_72
    | spl0_157
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1482,f573,f392,f1045,f578]) ).

fof(f392,plain,
    ( spl0_35
  <=> ! [X25] :
        ( ~ c3_1(X25)
        | c1_1(X25)
        | ~ c2_1(X25) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_35])]) ).

fof(f1482,plain,
    ( c1_1(a796)
    | ~ c2_1(a796)
    | ~ spl0_35
    | ~ spl0_71 ),
    inference(resolution,[],[f575,f393]) ).

fof(f393,plain,
    ( ! [X25] :
        ( ~ c3_1(X25)
        | c1_1(X25)
        | ~ c2_1(X25) )
    | ~ spl0_35 ),
    inference(avatar_component_clause,[],[f392]) ).

fof(f1478,plain,
    ( ~ spl0_65
    | spl0_169
    | ~ spl0_55
    | ~ spl0_66 ),
    inference(avatar_split_clause,[],[f1476,f546,f484,f1193,f541]) ).

fof(f1193,plain,
    ( spl0_169
  <=> c3_1(a829) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f484,plain,
    ( spl0_55
  <=> ! [X71] :
        ( ~ c2_1(X71)
        | c3_1(X71)
        | ~ c1_1(X71) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f1476,plain,
    ( c3_1(a829)
    | ~ c2_1(a829)
    | ~ spl0_55
    | ~ spl0_66 ),
    inference(resolution,[],[f485,f548]) ).

fof(f485,plain,
    ( ! [X71] :
        ( ~ c1_1(X71)
        | c3_1(X71)
        | ~ c2_1(X71) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f484]) ).

fof(f1469,plain,
    ( spl0_92
    | spl0_93
    | ~ spl0_54
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1460,f1101,f479,f690,f685]) ).

fof(f479,plain,
    ( spl0_54
  <=> ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | c2_1(X68) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_54])]) ).

fof(f1460,plain,
    ( c0_1(a833)
    | c2_1(a833)
    | ~ spl0_54
    | ~ spl0_163 ),
    inference(resolution,[],[f480,f1103]) ).

fof(f1103,plain,
    ( c3_1(a833)
    | ~ spl0_163 ),
    inference(avatar_component_clause,[],[f1101]) ).

fof(f480,plain,
    ( ! [X68] :
        ( ~ c3_1(X68)
        | c0_1(X68)
        | c2_1(X68) )
    | ~ spl0_54 ),
    inference(avatar_component_clause,[],[f479]) ).

fof(f1467,plain,
    ( spl0_119
    | spl0_161
    | ~ spl0_54
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1458,f839,f479,f1084,f829]) ).

fof(f829,plain,
    ( spl0_119
  <=> c2_1(a808) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f1458,plain,
    ( c0_1(a808)
    | c2_1(a808)
    | ~ spl0_54
    | ~ spl0_121 ),
    inference(resolution,[],[f480,f841]) ).

fof(f841,plain,
    ( c3_1(a808)
    | ~ spl0_121 ),
    inference(avatar_component_clause,[],[f839]) ).

fof(f1466,plain,
    ( spl0_149
    | spl0_150
    | ~ spl0_54
    | ~ spl0_151 ),
    inference(avatar_split_clause,[],[f1456,f999,f479,f994,f989]) ).

fof(f989,plain,
    ( spl0_149
  <=> c2_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f994,plain,
    ( spl0_150
  <=> c0_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_150])]) ).

fof(f999,plain,
    ( spl0_151
  <=> c3_1(a794) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_151])]) ).

fof(f1456,plain,
    ( c0_1(a794)
    | c2_1(a794)
    | ~ spl0_54
    | ~ spl0_151 ),
    inference(resolution,[],[f480,f1001]) ).

fof(f1001,plain,
    ( c3_1(a794)
    | ~ spl0_151 ),
    inference(avatar_component_clause,[],[f999]) ).

fof(f1436,plain,
    ( ~ spl0_162
    | ~ spl0_63
    | ~ spl0_18
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1432,f525,f313,f530,f1093]) ).

fof(f525,plain,
    ( spl0_62
  <=> c3_1(a867) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f1432,plain,
    ( ~ c1_1(a867)
    | ~ c2_1(a867)
    | ~ spl0_18
    | ~ spl0_62 ),
    inference(resolution,[],[f527,f314]) ).

fof(f527,plain,
    ( c3_1(a867)
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f525]) ).

fof(f1414,plain,
    ( ~ spl0_94
    | spl0_92
    | ~ spl0_45
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1407,f1101,f433,f685,f695]) ).

fof(f1407,plain,
    ( c2_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_45
    | ~ spl0_163 ),
    inference(resolution,[],[f434,f1103]) ).

fof(f1382,plain,
    ( spl0_95
    | spl0_159
    | ~ spl0_51
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1371,f711,f461,f1063,f701]) ).

fof(f711,plain,
    ( spl0_97
  <=> c2_1(a832) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f1371,plain,
    ( c0_1(a832)
    | c3_1(a832)
    | ~ spl0_51
    | ~ spl0_97 ),
    inference(resolution,[],[f462,f713]) ).

fof(f713,plain,
    ( c2_1(a832)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f711]) ).

fof(f1364,plain,
    ( ~ spl0_91
    | spl0_158
    | ~ spl0_50
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1358,f674,f456,f1053,f679]) ).

fof(f456,plain,
    ( spl0_50
  <=> ! [X49] :
        ( ~ c3_1(X49)
        | c1_1(X49)
        | ~ c0_1(X49) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f1358,plain,
    ( c1_1(a838)
    | ~ c0_1(a838)
    | ~ spl0_50
    | ~ spl0_90 ),
    inference(resolution,[],[f457,f676]) ).

fof(f457,plain,
    ( ! [X49] :
        ( ~ c3_1(X49)
        | c1_1(X49)
        | ~ c0_1(X49) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f456]) ).

fof(f1363,plain,
    ( ~ spl0_161
    | spl0_120
    | ~ spl0_50
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1355,f839,f456,f834,f1084]) ).

fof(f1355,plain,
    ( c1_1(a808)
    | ~ c0_1(a808)
    | ~ spl0_50
    | ~ spl0_121 ),
    inference(resolution,[],[f457,f841]) ).

fof(f1362,plain,
    ( ~ spl0_142
    | spl0_140
    | ~ spl0_50
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1354,f946,f456,f941,f951]) ).

fof(f951,plain,
    ( spl0_142
  <=> c0_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f941,plain,
    ( spl0_140
  <=> c1_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f946,plain,
    ( spl0_141
  <=> c3_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f1354,plain,
    ( c1_1(a799)
    | ~ c0_1(a799)
    | ~ spl0_50
    | ~ spl0_141 ),
    inference(resolution,[],[f457,f948]) ).

fof(f948,plain,
    ( c3_1(a799)
    | ~ spl0_141 ),
    inference(avatar_component_clause,[],[f946]) ).

fof(f1340,plain,
    ( ~ spl0_160
    | spl0_140
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1330,f946,f392,f941,f1079]) ).

fof(f1079,plain,
    ( spl0_160
  <=> c2_1(a799) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f1330,plain,
    ( c1_1(a799)
    | ~ c2_1(a799)
    | ~ spl0_35
    | ~ spl0_141 ),
    inference(resolution,[],[f393,f948]) ).

fof(f1319,plain,
    ( spl0_113
    | spl0_173
    | ~ spl0_32
    | ~ spl0_115 ),
    inference(avatar_split_clause,[],[f1308,f807,f376,f1316,f797]) ).

fof(f1308,plain,
    ( c2_1(a814)
    | c3_1(a814)
    | ~ spl0_32
    | ~ spl0_115 ),
    inference(resolution,[],[f377,f809]) ).

fof(f1314,plain,
    ( spl0_122
    | spl0_123
    | ~ spl0_32
    | ~ spl0_167 ),
    inference(avatar_split_clause,[],[f1307,f1156,f376,f850,f845]) ).

fof(f1156,plain,
    ( spl0_167
  <=> c1_1(a807) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_167])]) ).

fof(f1307,plain,
    ( c2_1(a807)
    | c3_1(a807)
    | ~ spl0_32
    | ~ spl0_167 ),
    inference(resolution,[],[f377,f1158]) ).

fof(f1158,plain,
    ( c1_1(a807)
    | ~ spl0_167 ),
    inference(avatar_component_clause,[],[f1156]) ).

fof(f1304,plain,
    ( ~ spl0_127
    | spl0_125
    | ~ spl0_27
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1297,f866,f355,f861,f871]) ).

fof(f871,plain,
    ( spl0_127
  <=> c0_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_127])]) ).

fof(f861,plain,
    ( spl0_125
  <=> c3_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f866,plain,
    ( spl0_126
  <=> c1_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1297,plain,
    ( c3_1(a806)
    | ~ c0_1(a806)
    | ~ spl0_27
    | ~ spl0_126 ),
    inference(resolution,[],[f356,f868]) ).

fof(f868,plain,
    ( c1_1(a806)
    | ~ spl0_126 ),
    inference(avatar_component_clause,[],[f866]) ).

fof(f1295,plain,
    ( ~ spl0_127
    | spl0_125
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(avatar_split_clause,[],[f1294,f1271,f350,f861,f871]) ).

fof(f350,plain,
    ( spl0_26
  <=> ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f1271,plain,
    ( spl0_172
  <=> c2_1(a806) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_172])]) ).

fof(f1294,plain,
    ( c3_1(a806)
    | ~ c0_1(a806)
    | ~ spl0_26
    | ~ spl0_172 ),
    inference(resolution,[],[f1273,f351]) ).

fof(f351,plain,
    ( ! [X8] :
        ( ~ c2_1(X8)
        | c3_1(X8)
        | ~ c0_1(X8) )
    | ~ spl0_26 ),
    inference(avatar_component_clause,[],[f350]) ).

fof(f1273,plain,
    ( c2_1(a806)
    | ~ spl0_172 ),
    inference(avatar_component_clause,[],[f1271]) ).

fof(f1287,plain,
    ( ~ spl0_127
    | spl0_172
    | ~ spl0_31
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1280,f866,f371,f1271,f871]) ).

fof(f1280,plain,
    ( c2_1(a806)
    | ~ c0_1(a806)
    | ~ spl0_31
    | ~ spl0_126 ),
    inference(resolution,[],[f372,f868]) ).

fof(f1275,plain,
    ( spl0_83
    | spl0_84
    | ~ spl0_32
    | ~ spl0_165 ),
    inference(avatar_split_clause,[],[f1266,f1137,f376,f642,f637]) ).

fof(f642,plain,
    ( spl0_84
  <=> c2_1(a856) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1266,plain,
    ( c2_1(a856)
    | c3_1(a856)
    | ~ spl0_32
    | ~ spl0_165 ),
    inference(resolution,[],[f377,f1139]) ).

fof(f1139,plain,
    ( c1_1(a856)
    | ~ spl0_165 ),
    inference(avatar_component_clause,[],[f1137]) ).

fof(f1274,plain,
    ( spl0_125
    | spl0_172
    | ~ spl0_32
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f1264,f866,f376,f1271,f861]) ).

fof(f1264,plain,
    ( c2_1(a806)
    | c3_1(a806)
    | ~ spl0_32
    | ~ spl0_126 ),
    inference(resolution,[],[f377,f868]) ).

fof(f1261,plain,
    ( ~ spl0_69
    | spl0_156
    | ~ spl0_49
    | ~ spl0_70 ),
    inference(avatar_split_clause,[],[f1259,f567,f452,f1035,f562]) ).

fof(f1259,plain,
    ( c0_1(a797)
    | ~ c2_1(a797)
    | ~ spl0_49
    | ~ spl0_70 ),
    inference(resolution,[],[f453,f569]) ).

fof(f1251,plain,
    ( ~ spl0_94
    | spl0_93
    | ~ spl0_48
    | ~ spl0_163 ),
    inference(avatar_split_clause,[],[f1239,f1101,f446,f690,f695]) ).

fof(f446,plain,
    ( spl0_48
  <=> ! [X42] :
        ( ~ c3_1(X42)
        | c0_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f1239,plain,
    ( c0_1(a833)
    | ~ c1_1(a833)
    | ~ spl0_48
    | ~ spl0_163 ),
    inference(resolution,[],[f447,f1103]) ).

fof(f447,plain,
    ( ! [X42] :
        ( ~ c3_1(X42)
        | c0_1(X42)
        | ~ c1_1(X42) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f446]) ).

fof(f1231,plain,
    ( ~ spl0_76
    | spl0_74
    | ~ spl0_46
    | ~ spl0_75 ),
    inference(avatar_split_clause,[],[f1228,f594,f438,f589,f599]) ).

fof(f599,plain,
    ( spl0_76
  <=> c2_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f589,plain,
    ( spl0_74
  <=> c0_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f594,plain,
    ( spl0_75
  <=> c3_1(a869) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f1228,plain,
    ( c0_1(a869)
    | ~ c2_1(a869)
    | ~ spl0_46
    | ~ spl0_75 ),
    inference(resolution,[],[f439,f596]) ).

fof(f596,plain,
    ( c3_1(a869)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f594]) ).

fof(f1202,plain,
    ( spl0_99
    | spl0_100
    | ~ spl0_43
    | spl0_98 ),
    inference(avatar_split_clause,[],[f1201,f717,f425,f727,f722]) ).

fof(f722,plain,
    ( spl0_99
  <=> c2_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f727,plain,
    ( spl0_100
  <=> c1_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_100])]) ).

fof(f717,plain,
    ( spl0_98
  <=> c3_1(a828) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_98])]) ).

fof(f1201,plain,
    ( c1_1(a828)
    | c2_1(a828)
    | ~ spl0_43
    | spl0_98 ),
    inference(resolution,[],[f719,f426]) ).

fof(f426,plain,
    ( ! [X33] :
        ( c3_1(X33)
        | c1_1(X33)
        | c2_1(X33) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f425]) ).

fof(f719,plain,
    ( ~ c3_1(a828)
    | spl0_98 ),
    inference(avatar_component_clause,[],[f717]) ).

fof(f1199,plain,
    ( ~ spl0_66
    | ~ spl0_67
    | ~ spl0_23
    | ~ spl0_169 ),
    inference(avatar_split_clause,[],[f1198,f1193,f336,f551,f546]) ).

fof(f1198,plain,
    ( ~ c0_1(a829)
    | ~ c1_1(a829)
    | ~ spl0_23
    | ~ spl0_169 ),
    inference(resolution,[],[f1195,f337]) ).

fof(f1195,plain,
    ( c3_1(a829)
    | ~ spl0_169 ),
    inference(avatar_component_clause,[],[f1193]) ).

fof(f1196,plain,
    ( ~ spl0_67
    | spl0_169
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(avatar_split_clause,[],[f1189,f541,f350,f1193,f551]) ).

fof(f1189,plain,
    ( c3_1(a829)
    | ~ c0_1(a829)
    | ~ spl0_26
    | ~ spl0_65 ),
    inference(resolution,[],[f351,f543]) ).

fof(f543,plain,
    ( c2_1(a829)
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f1191,plain,
    ( ~ spl0_145
    | spl0_143
    | ~ spl0_26
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f1185,f962,f350,f957,f967]) ).

fof(f962,plain,
    ( spl0_144
  <=> c2_1(a798) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f1185,plain,
    ( c3_1(a798)
    | ~ c0_1(a798)
    | ~ spl0_26
    | ~ spl0_144 ),
    inference(resolution,[],[f351,f964]) ).

fof(f964,plain,
    ( c2_1(a798)
    | ~ spl0_144 ),
    inference(avatar_component_clause,[],[f962]) ).

fof(f1176,plain,
    ( ~ spl0_168
    | spl0_129
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1170,f887,f371,f882,f1173]) ).

fof(f887,plain,
    ( spl0_130
  <=> c1_1(a805) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f1170,plain,
    ( c2_1(a805)
    | ~ c0_1(a805)
    | ~ spl0_31
    | ~ spl0_130 ),
    inference(resolution,[],[f889,f372]) ).

fof(f889,plain,
    ( c1_1(a805)
    | ~ spl0_130 ),
    inference(avatar_component_clause,[],[f887]) ).

fof(f1171,plain,
    ( spl0_128
    | spl0_129
    | ~ spl0_32
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f1169,f887,f376,f882,f877]) ).

fof(f1169,plain,
    ( c2_1(a805)
    | c3_1(a805)
    | ~ spl0_32
    | ~ spl0_130 ),
    inference(resolution,[],[f889,f377]) ).

fof(f1160,plain,
    ( spl0_84
    | spl0_165
    | ~ spl0_43
    | spl0_83 ),
    inference(avatar_split_clause,[],[f1150,f637,f425,f1137,f642]) ).

fof(f1150,plain,
    ( c1_1(a856)
    | c2_1(a856)
    | ~ spl0_43
    | spl0_83 ),
    inference(resolution,[],[f426,f639]) ).

fof(f639,plain,
    ( ~ c3_1(a856)
    | spl0_83 ),
    inference(avatar_component_clause,[],[f637]) ).

fof(f1159,plain,
    ( spl0_123
    | spl0_167
    | ~ spl0_43
    | spl0_122 ),
    inference(avatar_split_clause,[],[f1148,f845,f425,f1156,f850]) ).

fof(f1148,plain,
    ( c1_1(a807)
    | c2_1(a807)
    | ~ spl0_43
    | spl0_122 ),
    inference(resolution,[],[f426,f847]) ).

fof(f847,plain,
    ( ~ c3_1(a807)
    | spl0_122 ),
    inference(avatar_component_clause,[],[f845]) ).

fof(f1140,plain,
    ( spl0_84
    | spl0_165
    | ~ spl0_41
    | ~ spl0_85 ),
    inference(avatar_split_clause,[],[f1130,f647,f416,f1137,f642]) ).

fof(f1130,plain,
    ( c1_1(a856)
    | c2_1(a856)
    | ~ spl0_41
    | ~ spl0_85 ),
    inference(resolution,[],[f417,f649]) ).

fof(f1135,plain,
    ( spl0_89
    | spl0_158
    | ~ spl0_41
    | ~ spl0_91 ),
    inference(avatar_split_clause,[],[f1129,f679,f416,f1053,f669]) ).

fof(f1129,plain,
    ( c1_1(a838)
    | c2_1(a838)
    | ~ spl0_41
    | ~ spl0_91 ),
    inference(resolution,[],[f417,f681]) ).

fof(f681,plain,
    ( c0_1(a838)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f679]) ).

fof(f1134,plain,
    ( spl0_160
    | spl0_140
    | ~ spl0_41
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f1128,f951,f416,f941,f1079]) ).

fof(f1128,plain,
    ( c1_1(a799)
    | c2_1(a799)
    | ~ spl0_41
    | ~ spl0_142 ),
    inference(resolution,[],[f417,f953]) ).

fof(f953,plain,
    ( c0_1(a799)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f951]) ).

fof(f1126,plain,
    ( spl0_89
    | spl0_158
    | ~ spl0_39
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1122,f674,f408,f1053,f669]) ).

fof(f408,plain,
    ( spl0_39
  <=> ! [X29] :
        ( ~ c3_1(X29)
        | c1_1(X29)
        | c2_1(X29) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f1122,plain,
    ( c1_1(a838)
    | c2_1(a838)
    | ~ spl0_39
    | ~ spl0_90 ),
    inference(resolution,[],[f409,f676]) ).

fof(f409,plain,
    ( ! [X29] :
        ( ~ c3_1(X29)
        | c1_1(X29)
        | c2_1(X29) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f408]) ).

fof(f1125,plain,
    ( spl0_119
    | spl0_120
    | ~ spl0_39
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1120,f839,f408,f834,f829]) ).

fof(f1120,plain,
    ( c1_1(a808)
    | c2_1(a808)
    | ~ spl0_39
    | ~ spl0_121 ),
    inference(resolution,[],[f409,f841]) ).

fof(f1124,plain,
    ( spl0_160
    | spl0_140
    | ~ spl0_39
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1119,f946,f408,f941,f1079]) ).

fof(f1119,plain,
    ( c1_1(a799)
    | c2_1(a799)
    | ~ spl0_39
    | ~ spl0_141 ),
    inference(resolution,[],[f409,f948]) ).

fof(f1117,plain,
    ( spl0_95
    | spl0_96
    | ~ spl0_36
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1107,f711,f396,f706,f701]) ).

fof(f396,plain,
    ( spl0_36
  <=> ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | c3_1(X26) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f1107,plain,
    ( c1_1(a832)
    | c3_1(a832)
    | ~ spl0_36
    | ~ spl0_97 ),
    inference(resolution,[],[f397,f713]) ).

fof(f397,plain,
    ( ! [X26] :
        ( ~ c2_1(X26)
        | c1_1(X26)
        | c3_1(X26) )
    | ~ spl0_36 ),
    inference(avatar_component_clause,[],[f396]) ).

fof(f1087,plain,
    ( ~ spl0_161
    | spl0_119
    | ~ spl0_30
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f1075,f839,f367,f829,f1084]) ).

fof(f1075,plain,
    ( c2_1(a808)
    | ~ c0_1(a808)
    | ~ spl0_30
    | ~ spl0_121 ),
    inference(resolution,[],[f368,f841]) ).

fof(f1082,plain,
    ( ~ spl0_142
    | spl0_160
    | ~ spl0_30
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f1074,f946,f367,f1079,f951]) ).

fof(f1074,plain,
    ( c2_1(a799)
    | ~ c0_1(a799)
    | ~ spl0_30
    | ~ spl0_141 ),
    inference(resolution,[],[f368,f948]) ).

fof(f1066,plain,
    ( ~ spl0_159
    | spl0_95
    | ~ spl0_26
    | ~ spl0_97 ),
    inference(avatar_split_clause,[],[f1058,f711,f350,f701,f1063]) ).

fof(f1058,plain,
    ( c3_1(a832)
    | ~ c0_1(a832)
    | ~ spl0_26
    | ~ spl0_97 ),
    inference(resolution,[],[f351,f713]) ).

fof(f1056,plain,
    ( ~ spl0_158
    | ~ spl0_91
    | ~ spl0_23
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f1051,f674,f336,f679,f1053]) ).

fof(f1051,plain,
    ( ~ c0_1(a838)
    | ~ c1_1(a838)
    | ~ spl0_23
    | ~ spl0_90 ),
    inference(resolution,[],[f676,f337]) ).

fof(f1050,plain,
    ( ~ spl0_63
    | ~ spl0_64
    | ~ spl0_23
    | ~ spl0_62 ),
    inference(avatar_split_clause,[],[f1043,f525,f336,f535,f530]) ).

fof(f1043,plain,
    ( ~ c0_1(a867)
    | ~ c1_1(a867)
    | ~ spl0_23
    | ~ spl0_62 ),
    inference(resolution,[],[f337,f527]) ).

fof(f1049,plain,
    ( ~ spl0_70
    | ~ spl0_156
    | ~ spl0_23
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1042,f557,f336,f1035,f567]) ).

fof(f557,plain,
    ( spl0_68
  <=> c3_1(a797) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f1042,plain,
    ( ~ c0_1(a797)
    | ~ c1_1(a797)
    | ~ spl0_23
    | ~ spl0_68 ),
    inference(resolution,[],[f337,f559]) ).

fof(f559,plain,
    ( c3_1(a797)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f557]) ).

fof(f1038,plain,
    ( ~ spl0_69
    | ~ spl0_156
    | ~ spl0_19
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1032,f557,f318,f1035,f562]) ).

fof(f318,plain,
    ( spl0_19
  <=> ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f1032,plain,
    ( ~ c0_1(a797)
    | ~ c2_1(a797)
    | ~ spl0_19
    | ~ spl0_68 ),
    inference(resolution,[],[f319,f559]) ).

fof(f319,plain,
    ( ! [X2] :
        ( ~ c3_1(X2)
        | ~ c0_1(X2)
        | ~ c2_1(X2) )
    | ~ spl0_19 ),
    inference(avatar_component_clause,[],[f318]) ).

fof(f1033,plain,
    ( ~ spl0_72
    | ~ spl0_73
    | ~ spl0_19
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1031,f573,f318,f583,f578]) ).

fof(f1031,plain,
    ( ~ c0_1(a796)
    | ~ c2_1(a796)
    | ~ spl0_19
    | ~ spl0_71 ),
    inference(resolution,[],[f319,f575]) ).

fof(f1023,plain,
    ( ~ spl0_69
    | ~ spl0_70
    | ~ spl0_18
    | ~ spl0_68 ),
    inference(avatar_split_clause,[],[f1020,f557,f313,f567,f562]) ).

fof(f1020,plain,
    ( ~ c1_1(a797)
    | ~ c2_1(a797)
    | ~ spl0_18
    | ~ spl0_68 ),
    inference(resolution,[],[f314,f559]) ).

fof(f1002,plain,
    ( ~ spl0_2
    | spl0_151 ),
    inference(avatar_split_clause,[],[f12,f999,f242]) ).

fof(f242,plain,
    ( spl0_2
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f12,plain,
    ( c3_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp11
      | hskp1
      | hskp22 )
    & ( hskp10
      | hskp8
      | hskp28 )
    & ( hskp5
      | hskp26
      | hskp4 )
    & ( hskp5
      | hskp24
      | hskp4 )
    & ( hskp28
      | hskp21
      | hskp27 )
    & ( hskp26
      | hskp3
      | hskp9 )
    & ( hskp19
      | hskp28
      | hskp30 )
    & ( hskp11
      | hskp21
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp26
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp30
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp25
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp27
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp23
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp9
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp4
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp17
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp0
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp21
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp20
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c1_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp14
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp17
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp0
      | ! [X54] :
          ( ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp13
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp1
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X77] :
          ( ~ c2_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp4
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X89] :
          ( ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X98] :
          ( ~ c2_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c2_1(X108)
          | ~ c1_1(X108)
          | c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a867)
        & c1_1(a867)
        & c0_1(a867)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a829)
        & c1_1(a829)
        & c0_1(a829)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a797)
        & c2_1(a797)
        & c1_1(a797)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a796)
        & c2_1(a796)
        & c0_1(a796)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & c2_1(a869)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a862)
        & ~ c1_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a856)
        & ~ c2_1(a856)
        & c0_1(a856)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a838)
        & c3_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a833)
        & ~ c0_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a828)
        & ~ c2_1(a828)
        & ~ c1_1(a828)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a825)
        & c1_1(a825)
        & c0_1(a825)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a821)
        & ~ c1_1(a821)
        & ~ c0_1(a821)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a817)
        & c3_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a816)
        & ~ c1_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a814)
        & ~ c0_1(a814)
        & c1_1(a814)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a809)
        & c2_1(a809)
        & c1_1(a809)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a808)
        & ~ c1_1(a808)
        & c3_1(a808)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a807)
        & ~ c2_1(a807)
        & ~ c0_1(a807)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a806)
        & c1_1(a806)
        & c0_1(a806)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a805)
        & ~ c2_1(a805)
        & c1_1(a805)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a803)
        & c3_1(a803)
        & c1_1(a803)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a802)
        & ~ c0_1(a802)
        & c2_1(a802)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a800)
        & ~ c0_1(a800)
        & c3_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a799)
        & c3_1(a799)
        & c0_1(a799)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a798)
        & c2_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a795)
        & ~ c1_1(a795)
        & ~ c0_1(a795)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a794)
        & ~ c0_1(a794)
        & c3_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a793)
        & c2_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp11
      | hskp1
      | hskp22 )
    & ( hskp10
      | hskp8
      | hskp28 )
    & ( hskp5
      | hskp26
      | hskp4 )
    & ( hskp5
      | hskp24
      | hskp4 )
    & ( hskp28
      | hskp21
      | hskp27 )
    & ( hskp26
      | hskp3
      | hskp9 )
    & ( hskp19
      | hskp28
      | hskp30 )
    & ( hskp11
      | hskp21
      | ! [X0] :
          ( ~ c3_1(X0)
          | ~ c2_1(X0)
          | ~ c1_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ~ c3_1(X1)
          | ~ c2_1(X1)
          | ~ c1_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp15
      | ! [X2] :
          ( ~ c3_1(X2)
          | ~ c2_1(X2)
          | ~ c0_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp26
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp30
      | ! [X4] :
          ( ~ c3_1(X4)
          | ~ c2_1(X4)
          | ~ c0_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp25
      | ! [X5] :
          ( ~ c3_1(X5)
          | ~ c1_1(X5)
          | ~ c0_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp14
      | ! [X6] :
          ( ~ c3_1(X6)
          | ~ c1_1(X6)
          | ~ c0_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ~ c3_1(X7)
          | ~ c1_1(X7)
          | ~ c0_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp27
      | ! [X8] :
          ( ~ c2_1(X8)
          | ~ c0_1(X8)
          | c3_1(X8)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X9] :
          ( ~ c3_1(X9)
          | ~ c1_1(X9)
          | ~ c0_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c2_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp23
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c3_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp20
      | hskp9
      | ! [X12] :
          ( ~ c3_1(X12)
          | ~ c0_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp4
      | ! [X13] :
          ( ~ c1_1(X13)
          | ~ c0_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X14] :
          ( ~ c3_1(X14)
          | ~ c0_1(X14)
          | c2_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c1_1(X15)
          | ~ c0_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp13
      | ! [X16] :
          ( ~ c1_1(X16)
          | c3_1(X16)
          | c2_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp19
      | hskp28
      | ! [X17] :
          ( ~ c1_1(X17)
          | c3_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp17
      | ! [X18] :
          ( ~ c1_1(X18)
          | c3_1(X18)
          | c2_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c1_1(X19)
          | ~ c0_1(X19)
          | ~ ndr1_0 )
      | ! [X20] :
          ( ~ c1_1(X20)
          | c3_1(X20)
          | c2_1(X20)
          | ~ ndr1_0 ) )
    & ( ! [X21] :
          ( ~ c2_1(X21)
          | ~ c0_1(X21)
          | c3_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c2_1(X22)
          | ~ ndr1_0 )
      | ! [X23] :
          ( ~ c1_1(X23)
          | c3_1(X23)
          | c2_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X24] :
          ( ~ c3_1(X24)
          | ~ c1_1(X24)
          | ~ c0_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c3_1(X25)
          | ~ c2_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp21
      | hskp0
      | ! [X26] :
          ( ~ c2_1(X26)
          | c3_1(X26)
          | c1_1(X26)
          | ~ ndr1_0 ) )
    & ( hskp22
      | ! [X27] :
          ( ~ c3_1(X27)
          | ~ c1_1(X27)
          | ~ c0_1(X27)
          | ~ ndr1_0 )
      | ! [X28] :
          ( ~ c0_1(X28)
          | c3_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp21
      | ! [X29] :
          ( ~ c3_1(X29)
          | c2_1(X29)
          | c1_1(X29)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp20
      | ! [X30] :
          ( ~ c0_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X31] :
          ( ~ c1_1(X31)
          | c3_1(X31)
          | c2_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c0_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp20
      | ! [X33] :
          ( c3_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X34] :
          ( ~ c3_1(X34)
          | ~ c1_1(X34)
          | c2_1(X34)
          | ~ ndr1_0 )
      | ! [X35] :
          ( c3_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X36] :
          ( ~ c0_1(X36)
          | c2_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( hskp9
      | hskp29
      | ! [X38] :
          ( ~ c3_1(X38)
          | ~ c2_1(X38)
          | c0_1(X38)
          | ~ ndr1_0 ) )
    & ( ! [X39] :
          ( ~ c3_1(X39)
          | ~ c1_1(X39)
          | ~ c0_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( ~ c2_1(X40)
          | ~ c1_1(X40)
          | ~ c0_1(X40)
          | ~ ndr1_0 )
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp14
      | ! [X42] :
          ( ~ c3_1(X42)
          | ~ c1_1(X42)
          | c0_1(X42)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp17
      | ! [X43] :
          ( ~ c3_1(X43)
          | ~ c1_1(X43)
          | c0_1(X43)
          | ~ ndr1_0 ) )
    & ( hskp8
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c1_1(X44)
          | ~ ndr1_0 )
      | ! [X45] :
          ( ~ c3_1(X45)
          | ~ c1_1(X45)
          | c0_1(X45)
          | ~ ndr1_0 ) )
    & ( ! [X46] :
          ( ~ c1_1(X46)
          | ~ c0_1(X46)
          | c2_1(X46)
          | ~ ndr1_0 )
      | ! [X47] :
          ( ~ c1_1(X47)
          | c3_1(X47)
          | c2_1(X47)
          | ~ ndr1_0 )
      | ! [X48] :
          ( ~ c2_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c0_1(X49)
          | c1_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c2_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c0_1(X51)
          | c1_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c2_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp16
      | hskp13
      | ! [X53] :
          ( ~ c2_1(X53)
          | c3_1(X53)
          | c0_1(X53)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp0
      | ! [X54] :
          ( ~ c2_1(X54)
          | c3_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp15
      | ! [X55] :
          ( ~ c3_1(X55)
          | ~ c2_1(X55)
          | ~ c1_1(X55)
          | ~ ndr1_0 )
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( ! [X57] :
          ( ~ c1_1(X57)
          | ~ c0_1(X57)
          | c3_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c3_1(X58)
          | ~ c1_1(X58)
          | c2_1(X58)
          | ~ ndr1_0 )
      | ! [X59] :
          ( ~ c2_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c1_1(X60)
          | c0_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c2_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp6
      | hskp13
      | ! [X62] :
          ( ~ c1_1(X62)
          | c3_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X63] :
          ( ~ c1_1(X63)
          | c3_1(X63)
          | c2_1(X63)
          | ~ ndr1_0 )
      | ! [X64] :
          ( ~ c1_1(X64)
          | c3_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( ! [X65] :
          ( ~ c3_1(X65)
          | ~ c2_1(X65)
          | ~ c0_1(X65)
          | ~ ndr1_0 )
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c2_1(X66)
          | c1_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c3_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp1
      | ! [X68] :
          ( ~ c3_1(X68)
          | c2_1(X68)
          | c0_1(X68)
          | ~ ndr1_0 ) )
    & ( hskp9
      | ! [X69] :
          ( ~ c1_1(X69)
          | ~ c0_1(X69)
          | c2_1(X69)
          | ~ ndr1_0 )
      | ! [X70] :
          ( ~ c3_1(X70)
          | c2_1(X70)
          | c0_1(X70)
          | ~ ndr1_0 ) )
    & ( ! [X71] :
          ( ~ c2_1(X71)
          | ~ c1_1(X71)
          | c3_1(X71)
          | ~ ndr1_0 )
      | ! [X72] :
          ( ~ c3_1(X72)
          | ~ c1_1(X72)
          | c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | c2_1(X73)
          | c0_1(X73)
          | ~ ndr1_0 ) )
    & ( ! [X74] :
          ( ~ c2_1(X74)
          | ~ c0_1(X74)
          | c3_1(X74)
          | ~ ndr1_0 )
      | ! [X75] :
          ( ~ c2_1(X75)
          | ~ c1_1(X75)
          | c0_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c3_1(X76)
          | c2_1(X76)
          | c0_1(X76)
          | ~ ndr1_0 ) )
    & ( hskp12
      | ! [X77] :
          ( ~ c2_1(X77)
          | c3_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 )
      | ! [X78] :
          ( ~ c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X79] :
          ( ~ c1_1(X79)
          | c3_1(X79)
          | c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c3_1(X80)
          | c2_1(X80)
          | c0_1(X80)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( ! [X82] :
          ( ~ c0_1(X82)
          | c3_1(X82)
          | c1_1(X82)
          | ~ ndr1_0 )
      | ! [X83] :
          ( ~ c3_1(X83)
          | c2_1(X83)
          | c1_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( c3_1(X84)
          | c2_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( ! [X85] :
          ( ~ c1_1(X85)
          | ~ c0_1(X85)
          | c3_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | ~ c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 )
      | ! [X87] :
          ( c3_1(X87)
          | c2_1(X87)
          | c0_1(X87)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp4
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( hskp7
      | ! [X89] :
          ( ~ c3_1(X89)
          | ~ c2_1(X89)
          | ~ c1_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( ~ c3_1(X90)
          | c1_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X91] :
          ( ~ c3_1(X91)
          | ~ c1_1(X91)
          | c2_1(X91)
          | ~ ndr1_0 )
      | ! [X92] :
          ( ~ c3_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c1_1(X93)
          | ~ c0_1(X93)
          | c2_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c2_1(X94)
          | ~ c0_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c3_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c1_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c3_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( hskp5
      | ! [X98] :
          ( ~ c2_1(X98)
          | c3_1(X98)
          | c0_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 ) )
    & ( hskp4
      | hskp3
      | ! [X100] :
          ( c3_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( c3_1(X101)
          | c1_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 ) )
    & ( ! [X102] :
          ( ~ c2_1(X102)
          | c3_1(X102)
          | c1_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | ~ c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 )
      | ! [X104] :
          ( c3_1(X104)
          | c1_1(X104)
          | c0_1(X104)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X105] :
          ( c2_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( hskp0
      | ! [X106] :
          ( ~ c2_1(X106)
          | ~ c0_1(X106)
          | c3_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( c2_1(X107)
          | c1_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 ) )
    & ( ! [X108] :
          ( ~ c2_1(X108)
          | ~ c1_1(X108)
          | c3_1(X108)
          | ~ ndr1_0 )
      | ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c2_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a867)
        & c1_1(a867)
        & c0_1(a867)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a829)
        & c1_1(a829)
        & c0_1(a829)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a797)
        & c2_1(a797)
        & c1_1(a797)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a796)
        & c2_1(a796)
        & c0_1(a796)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & c2_1(a869)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a862)
        & ~ c1_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a856)
        & ~ c2_1(a856)
        & c0_1(a856)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a838)
        & c3_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a833)
        & ~ c0_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a828)
        & ~ c2_1(a828)
        & ~ c1_1(a828)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a825)
        & c1_1(a825)
        & c0_1(a825)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a821)
        & ~ c1_1(a821)
        & ~ c0_1(a821)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a817)
        & c3_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a816)
        & ~ c1_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a814)
        & ~ c0_1(a814)
        & c1_1(a814)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a809)
        & c2_1(a809)
        & c1_1(a809)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a808)
        & ~ c1_1(a808)
        & c3_1(a808)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a807)
        & ~ c2_1(a807)
        & ~ c0_1(a807)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a806)
        & c1_1(a806)
        & c0_1(a806)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a805)
        & ~ c2_1(a805)
        & c1_1(a805)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a803)
        & c3_1(a803)
        & c1_1(a803)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a802)
        & ~ c0_1(a802)
        & c2_1(a802)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a800)
        & ~ c0_1(a800)
        & c3_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a799)
        & c3_1(a799)
        & c0_1(a799)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a798)
        & c2_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a795)
        & ~ c1_1(a795)
        & ~ c0_1(a795)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a794)
        & ~ c0_1(a794)
        & c3_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a793)
        & c2_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp11
      | hskp1
      | hskp22 )
    & ( hskp10
      | hskp8
      | hskp28 )
    & ( hskp5
      | hskp26
      | hskp4 )
    & ( hskp5
      | hskp24
      | hskp4 )
    & ( hskp28
      | hskp21
      | hskp27 )
    & ( hskp26
      | hskp3
      | hskp9 )
    & ( hskp19
      | hskp28
      | hskp30 )
    & ( hskp11
      | hskp21
      | ! [X0] :
          ( ndr1_0
         => ( ~ c3_1(X0)
            | ~ c2_1(X0)
            | ~ c1_1(X0) ) ) )
    & ( hskp19
      | hskp27
      | ! [X1] :
          ( ndr1_0
         => ( ~ c3_1(X1)
            | ~ c2_1(X1)
            | ~ c1_1(X1) ) ) )
    & ( hskp16
      | hskp15
      | ! [X2] :
          ( ndr1_0
         => ( ~ c3_1(X2)
            | ~ c2_1(X2)
            | ~ c0_1(X2) ) ) )
    & ( hskp11
      | hskp26
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) ) )
    & ( hskp20
      | hskp30
      | ! [X4] :
          ( ndr1_0
         => ( ~ c3_1(X4)
            | ~ c2_1(X4)
            | ~ c0_1(X4) ) ) )
    & ( hskp1
      | hskp25
      | ! [X5] :
          ( ndr1_0
         => ( ~ c3_1(X5)
            | ~ c1_1(X5)
            | ~ c0_1(X5) ) ) )
    & ( hskp22
      | hskp14
      | ! [X6] :
          ( ndr1_0
         => ( ~ c3_1(X6)
            | ~ c1_1(X6)
            | ~ c0_1(X6) ) ) )
    & ( hskp24
      | hskp14
      | ! [X7] :
          ( ndr1_0
         => ( ~ c3_1(X7)
            | ~ c1_1(X7)
            | ~ c0_1(X7) ) ) )
    & ( hskp3
      | hskp27
      | ! [X8] :
          ( ndr1_0
         => ( ~ c2_1(X8)
            | ~ c0_1(X8)
            | c3_1(X8) ) ) )
    & ( hskp5
      | ! [X9] :
          ( ndr1_0
         => ( ~ c3_1(X9)
            | ~ c1_1(X9)
            | ~ c0_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c2_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) ) )
    & ( hskp13
      | hskp23
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c3_1(X11) ) ) )
    & ( hskp20
      | hskp9
      | ! [X12] :
          ( ndr1_0
         => ( ~ c3_1(X12)
            | ~ c0_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp28
      | hskp4
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | ~ c0_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp28
      | ! [X14] :
          ( ndr1_0
         => ( ~ c3_1(X14)
            | ~ c0_1(X14)
            | c2_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c1_1(X15)
            | ~ c0_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp1
      | hskp13
      | ! [X16] :
          ( ndr1_0
         => ( ~ c1_1(X16)
            | c3_1(X16)
            | c2_1(X16) ) ) )
    & ( hskp19
      | hskp28
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | c3_1(X17)
            | c2_1(X17) ) ) )
    & ( hskp8
      | hskp17
      | ! [X18] :
          ( ndr1_0
         => ( ~ c1_1(X18)
            | c3_1(X18)
            | c2_1(X18) ) ) )
    & ( hskp12
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c1_1(X19)
            | ~ c0_1(X19) ) )
      | ! [X20] :
          ( ndr1_0
         => ( ~ c1_1(X20)
            | c3_1(X20)
            | c2_1(X20) ) ) )
    & ( ! [X21] :
          ( ndr1_0
         => ( ~ c2_1(X21)
            | ~ c0_1(X21)
            | c3_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c2_1(X22) ) )
      | ! [X23] :
          ( ndr1_0
         => ( ~ c1_1(X23)
            | c3_1(X23)
            | c2_1(X23) ) ) )
    & ( hskp28
      | ! [X24] :
          ( ndr1_0
         => ( ~ c3_1(X24)
            | ~ c1_1(X24)
            | ~ c0_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c3_1(X25)
            | ~ c2_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp21
      | hskp0
      | ! [X26] :
          ( ndr1_0
         => ( ~ c2_1(X26)
            | c3_1(X26)
            | c1_1(X26) ) ) )
    & ( hskp22
      | ! [X27] :
          ( ndr1_0
         => ( ~ c3_1(X27)
            | ~ c1_1(X27)
            | ~ c0_1(X27) ) )
      | ! [X28] :
          ( ndr1_0
         => ( ~ c0_1(X28)
            | c3_1(X28)
            | c1_1(X28) ) ) )
    & ( hskp18
      | hskp21
      | ! [X29] :
          ( ndr1_0
         => ( ~ c3_1(X29)
            | c2_1(X29)
            | c1_1(X29) ) ) )
    & ( hskp1
      | hskp20
      | ! [X30] :
          ( ndr1_0
         => ( ~ c0_1(X30)
            | c2_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp29
      | ! [X31] :
          ( ndr1_0
         => ( ~ c1_1(X31)
            | c3_1(X31)
            | c2_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c0_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp2
      | hskp20
      | ! [X33] :
          ( ndr1_0
         => ( c3_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp19
      | ! [X34] :
          ( ndr1_0
         => ( ~ c3_1(X34)
            | ~ c1_1(X34)
            | c2_1(X34) ) )
      | ! [X35] :
          ( ndr1_0
         => ( c3_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp29
      | ! [X36] :
          ( ndr1_0
         => ( ~ c0_1(X36)
            | c2_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( hskp9
      | hskp29
      | ! [X38] :
          ( ndr1_0
         => ( ~ c3_1(X38)
            | ~ c2_1(X38)
            | c0_1(X38) ) ) )
    & ( ! [X39] :
          ( ndr1_0
         => ( ~ c3_1(X39)
            | ~ c1_1(X39)
            | ~ c0_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( ~ c2_1(X40)
            | ~ c1_1(X40)
            | ~ c0_1(X40) ) )
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( hskp18
      | hskp14
      | ! [X42] :
          ( ndr1_0
         => ( ~ c3_1(X42)
            | ~ c1_1(X42)
            | c0_1(X42) ) ) )
    & ( hskp0
      | hskp17
      | ! [X43] :
          ( ndr1_0
         => ( ~ c3_1(X43)
            | ~ c1_1(X43)
            | c0_1(X43) ) ) )
    & ( hskp8
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c1_1(X44) ) )
      | ! [X45] :
          ( ndr1_0
         => ( ~ c3_1(X45)
            | ~ c1_1(X45)
            | c0_1(X45) ) ) )
    & ( ! [X46] :
          ( ndr1_0
         => ( ~ c1_1(X46)
            | ~ c0_1(X46)
            | c2_1(X46) ) )
      | ! [X47] :
          ( ndr1_0
         => ( ~ c1_1(X47)
            | c3_1(X47)
            | c2_1(X47) ) )
      | ! [X48] :
          ( ndr1_0
         => ( ~ c2_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp13
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c0_1(X49)
            | c1_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c2_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp14
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c0_1(X51)
            | c1_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c2_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp16
      | hskp13
      | ! [X53] :
          ( ndr1_0
         => ( ~ c2_1(X53)
            | c3_1(X53)
            | c0_1(X53) ) ) )
    & ( hskp5
      | hskp0
      | ! [X54] :
          ( ndr1_0
         => ( ~ c2_1(X54)
            | c3_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp15
      | ! [X55] :
          ( ndr1_0
         => ( ~ c3_1(X55)
            | ~ c2_1(X55)
            | ~ c1_1(X55) ) )
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( ! [X57] :
          ( ndr1_0
         => ( ~ c1_1(X57)
            | ~ c0_1(X57)
            | c3_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c3_1(X58)
            | ~ c1_1(X58)
            | c2_1(X58) ) )
      | ! [X59] :
          ( ndr1_0
         => ( ~ c2_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp14
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c1_1(X60)
            | c0_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c2_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp6
      | hskp13
      | ! [X62] :
          ( ndr1_0
         => ( ~ c1_1(X62)
            | c3_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp3
      | ! [X63] :
          ( ndr1_0
         => ( ~ c1_1(X63)
            | c3_1(X63)
            | c2_1(X63) ) )
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c3_1(X64)
            | c0_1(X64) ) ) )
    & ( ! [X65] :
          ( ndr1_0
         => ( ~ c3_1(X65)
            | ~ c2_1(X65)
            | ~ c0_1(X65) ) )
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c2_1(X66)
            | c1_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c3_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp10
      | hskp1
      | ! [X68] :
          ( ndr1_0
         => ( ~ c3_1(X68)
            | c2_1(X68)
            | c0_1(X68) ) ) )
    & ( hskp9
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | ~ c0_1(X69)
            | c2_1(X69) ) )
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | c2_1(X70)
            | c0_1(X70) ) ) )
    & ( ! [X71] :
          ( ndr1_0
         => ( ~ c2_1(X71)
            | ~ c1_1(X71)
            | c3_1(X71) ) )
      | ! [X72] :
          ( ndr1_0
         => ( ~ c3_1(X72)
            | ~ c1_1(X72)
            | c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | c2_1(X73)
            | c0_1(X73) ) ) )
    & ( ! [X74] :
          ( ndr1_0
         => ( ~ c2_1(X74)
            | ~ c0_1(X74)
            | c3_1(X74) ) )
      | ! [X75] :
          ( ndr1_0
         => ( ~ c2_1(X75)
            | ~ c1_1(X75)
            | c0_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c3_1(X76)
            | c2_1(X76)
            | c0_1(X76) ) ) )
    & ( hskp12
      | ! [X77] :
          ( ndr1_0
         => ( ~ c2_1(X77)
            | c3_1(X77)
            | c0_1(X77) ) )
      | ! [X78] :
          ( ndr1_0
         => ( ~ c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( hskp11
      | ! [X79] :
          ( ndr1_0
         => ( ~ c1_1(X79)
            | c3_1(X79)
            | c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c3_1(X80)
            | c2_1(X80)
            | c0_1(X80) ) ) )
    & ( hskp10
      | hskp9
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( ! [X82] :
          ( ndr1_0
         => ( ~ c0_1(X82)
            | c3_1(X82)
            | c1_1(X82) ) )
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | c2_1(X83)
            | c1_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( c3_1(X84)
            | c2_1(X84)
            | c0_1(X84) ) ) )
    & ( ! [X85] :
          ( ndr1_0
         => ( ~ c1_1(X85)
            | ~ c0_1(X85)
            | c3_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | ~ c1_1(X86)
            | c0_1(X86) ) )
      | ! [X87] :
          ( ndr1_0
         => ( c3_1(X87)
            | c2_1(X87)
            | c0_1(X87) ) ) )
    & ( hskp8
      | hskp4
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( hskp7
      | ! [X89] :
          ( ndr1_0
         => ( ~ c3_1(X89)
            | ~ c2_1(X89)
            | ~ c1_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( ~ c3_1(X90)
            | c1_1(X90)
            | c0_1(X90) ) ) )
    & ( hskp6
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | ~ c1_1(X91)
            | c2_1(X91) ) )
      | ! [X92] :
          ( ndr1_0
         => ( ~ c3_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c1_1(X93)
            | ~ c0_1(X93)
            | c2_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c2_1(X94)
            | ~ c0_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c3_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp4
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c1_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c3_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( hskp5
      | ! [X98] :
          ( ndr1_0
         => ( ~ c2_1(X98)
            | c3_1(X98)
            | c0_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) ) )
    & ( hskp4
      | hskp3
      | ! [X100] :
          ( ndr1_0
         => ( c3_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( hskp28
      | hskp27
      | ! [X101] :
          ( ndr1_0
         => ( c3_1(X101)
            | c1_1(X101)
            | c0_1(X101) ) ) )
    & ( ! [X102] :
          ( ndr1_0
         => ( ~ c2_1(X102)
            | c3_1(X102)
            | c1_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | ~ c1_1(X103)
            | c0_1(X103) ) )
      | ! [X104] :
          ( ndr1_0
         => ( c3_1(X104)
            | c1_1(X104)
            | c0_1(X104) ) ) )
    & ( hskp2
      | hskp1
      | ! [X105] :
          ( ndr1_0
         => ( c2_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( hskp0
      | ! [X106] :
          ( ndr1_0
         => ( ~ c2_1(X106)
            | ~ c0_1(X106)
            | c3_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( c2_1(X107)
            | c1_1(X107)
            | c0_1(X107) ) ) )
    & ( ! [X108] :
          ( ndr1_0
         => ( ~ c2_1(X108)
            | ~ c1_1(X108)
            | c3_1(X108) ) )
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c2_1(X109)
            | c0_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c2_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( ( c3_1(a867)
        & c1_1(a867)
        & c0_1(a867)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c2_1(a829)
        & c1_1(a829)
        & c0_1(a829)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c3_1(a797)
        & c2_1(a797)
        & c1_1(a797)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( c3_1(a796)
        & c2_1(a796)
        & c0_1(a796)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c0_1(a869)
        & c3_1(a869)
        & c2_1(a869)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c3_1(a865)
        & c2_1(a865)
        & c1_1(a865)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c3_1(a862)
        & ~ c1_1(a862)
        & c0_1(a862)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c3_1(a856)
        & ~ c2_1(a856)
        & c0_1(a856)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c0_1(a840)
        & c3_1(a840)
        & c1_1(a840)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c2_1(a838)
        & c3_1(a838)
        & c0_1(a838)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c2_1(a833)
        & ~ c0_1(a833)
        & c1_1(a833)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c3_1(a832)
        & ~ c1_1(a832)
        & c2_1(a832)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c3_1(a828)
        & ~ c2_1(a828)
        & ~ c1_1(a828)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c2_1(a825)
        & c1_1(a825)
        & c0_1(a825)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c2_1(a821)
        & ~ c1_1(a821)
        & ~ c0_1(a821)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c1_1(a817)
        & c3_1(a817)
        & c2_1(a817)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a816)
        & ~ c1_1(a816)
        & c0_1(a816)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c3_1(a814)
        & ~ c0_1(a814)
        & c1_1(a814)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c0_1(a809)
        & c2_1(a809)
        & c1_1(a809)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c2_1(a808)
        & ~ c1_1(a808)
        & c3_1(a808)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c3_1(a807)
        & ~ c2_1(a807)
        & ~ c0_1(a807)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c3_1(a806)
        & c1_1(a806)
        & c0_1(a806)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c3_1(a805)
        & ~ c2_1(a805)
        & c1_1(a805)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c2_1(a803)
        & c3_1(a803)
        & c1_1(a803)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c1_1(a802)
        & ~ c0_1(a802)
        & c2_1(a802)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c1_1(a800)
        & ~ c0_1(a800)
        & c3_1(a800)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c1_1(a799)
        & c3_1(a799)
        & c0_1(a799)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a798)
        & c2_1(a798)
        & c0_1(a798)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a795)
        & ~ c1_1(a795)
        & ~ c0_1(a795)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a794)
        & ~ c0_1(a794)
        & c3_1(a794)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c1_1(a793)
        & c2_1(a793)
        & c0_1(a793)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp11
          | hskp1
          | hskp22 )
        & ( hskp10
          | hskp8
          | hskp28 )
        & ( hskp5
          | hskp26
          | hskp4 )
        & ( hskp5
          | hskp24
          | hskp4 )
        & ( hskp28
          | hskp21
          | hskp27 )
        & ( hskp26
          | hskp3
          | hskp9 )
        & ( hskp19
          | hskp28
          | hskp30 )
        & ( hskp11
          | hskp21
          | ! [X0] :
              ( ndr1_0
             => ( ~ c3_1(X0)
                | ~ c2_1(X0)
                | ~ c1_1(X0) ) ) )
        & ( hskp19
          | hskp27
          | ! [X1] :
              ( ndr1_0
             => ( ~ c3_1(X1)
                | ~ c2_1(X1)
                | ~ c1_1(X1) ) ) )
        & ( hskp16
          | hskp15
          | ! [X2] :
              ( ndr1_0
             => ( ~ c3_1(X2)
                | ~ c2_1(X2)
                | ~ c0_1(X2) ) ) )
        & ( hskp11
          | hskp26
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) ) )
        & ( hskp20
          | hskp30
          | ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) ) )
        & ( hskp1
          | hskp25
          | ! [X5] :
              ( ndr1_0
             => ( ~ c3_1(X5)
                | ~ c1_1(X5)
                | ~ c0_1(X5) ) ) )
        & ( hskp22
          | hskp14
          | ! [X6] :
              ( ndr1_0
             => ( ~ c3_1(X6)
                | ~ c1_1(X6)
                | ~ c0_1(X6) ) ) )
        & ( hskp24
          | hskp14
          | ! [X7] :
              ( ndr1_0
             => ( ~ c3_1(X7)
                | ~ c1_1(X7)
                | ~ c0_1(X7) ) ) )
        & ( hskp3
          | hskp27
          | ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | ~ c0_1(X8)
                | c3_1(X8) ) ) )
        & ( hskp5
          | ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c2_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) ) )
        & ( hskp13
          | hskp23
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c3_1(X11) ) ) )
        & ( hskp20
          | hskp9
          | ! [X12] :
              ( ndr1_0
             => ( ~ c3_1(X12)
                | ~ c0_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp28
          | hskp4
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | ~ c0_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp28
          | ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c0_1(X14)
                | c2_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c1_1(X15)
                | ~ c0_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp1
          | hskp13
          | ! [X16] :
              ( ndr1_0
             => ( ~ c1_1(X16)
                | c3_1(X16)
                | c2_1(X16) ) ) )
        & ( hskp19
          | hskp28
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) ) )
        & ( hskp8
          | hskp17
          | ! [X18] :
              ( ndr1_0
             => ( ~ c1_1(X18)
                | c3_1(X18)
                | c2_1(X18) ) ) )
        & ( hskp12
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | ~ c0_1(X19) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c1_1(X20)
                | c3_1(X20)
                | c2_1(X20) ) ) )
        & ( ! [X21] :
              ( ndr1_0
             => ( ~ c2_1(X21)
                | ~ c0_1(X21)
                | c3_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c2_1(X22) ) )
          | ! [X23] :
              ( ndr1_0
             => ( ~ c1_1(X23)
                | c3_1(X23)
                | c2_1(X23) ) ) )
        & ( hskp28
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | ~ c0_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c3_1(X25)
                | ~ c2_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp21
          | hskp0
          | ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | c3_1(X26)
                | c1_1(X26) ) ) )
        & ( hskp22
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | ~ c1_1(X27)
                | ~ c0_1(X27) ) )
          | ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) ) )
        & ( hskp18
          | hskp21
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c2_1(X29)
                | c1_1(X29) ) ) )
        & ( hskp1
          | hskp20
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp29
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c2_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c0_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp2
          | hskp20
          | ! [X33] :
              ( ndr1_0
             => ( c3_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp19
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | ~ c1_1(X34)
                | c2_1(X34) ) )
          | ! [X35] :
              ( ndr1_0
             => ( c3_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp29
          | ! [X36] :
              ( ndr1_0
             => ( ~ c0_1(X36)
                | c2_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( hskp9
          | hskp29
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c2_1(X38)
                | c0_1(X38) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c3_1(X39)
                | ~ c1_1(X39)
                | ~ c0_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c2_1(X40)
                | ~ c1_1(X40)
                | ~ c0_1(X40) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( hskp18
          | hskp14
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c1_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp0
          | hskp17
          | ! [X43] :
              ( ndr1_0
             => ( ~ c3_1(X43)
                | ~ c1_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp8
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c1_1(X44) ) )
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c1_1(X45)
                | c0_1(X45) ) ) )
        & ( ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | ~ c0_1(X46)
                | c2_1(X46) ) )
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c2_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp13
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c0_1(X49)
                | c1_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c2_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp14
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c0_1(X51)
                | c1_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c2_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp16
          | hskp13
          | ! [X53] :
              ( ndr1_0
             => ( ~ c2_1(X53)
                | c3_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp5
          | hskp0
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( ! [X57] :
              ( ndr1_0
             => ( ~ c1_1(X57)
                | ~ c0_1(X57)
                | c3_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c1_1(X58)
                | c2_1(X58) ) )
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp14
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c2_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp6
          | hskp13
          | ! [X62] :
              ( ndr1_0
             => ( ~ c1_1(X62)
                | c3_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp3
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c3_1(X64)
                | c0_1(X64) ) ) )
        & ( ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c2_1(X65)
                | ~ c0_1(X65) ) )
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c1_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c3_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp10
          | hskp1
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | c2_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp9
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | ~ c0_1(X69)
                | c2_1(X69) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | c2_1(X70)
                | c0_1(X70) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c2_1(X71)
                | ~ c1_1(X71)
                | c3_1(X71) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c1_1(X72)
                | c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | c2_1(X73)
                | c0_1(X73) ) ) )
        & ( ! [X74] :
              ( ndr1_0
             => ( ~ c2_1(X74)
                | ~ c0_1(X74)
                | c3_1(X74) ) )
          | ! [X75] :
              ( ndr1_0
             => ( ~ c2_1(X75)
                | ~ c1_1(X75)
                | c0_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | c2_1(X76)
                | c0_1(X76) ) ) )
        & ( hskp12
          | ! [X77] :
              ( ndr1_0
             => ( ~ c2_1(X77)
                | c3_1(X77)
                | c0_1(X77) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( hskp11
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c3_1(X80)
                | c2_1(X80)
                | c0_1(X80) ) ) )
        & ( hskp10
          | hskp9
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( c3_1(X84)
                | c2_1(X84)
                | c0_1(X84) ) ) )
        & ( ! [X85] :
              ( ndr1_0
             => ( ~ c1_1(X85)
                | ~ c0_1(X85)
                | c3_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | c0_1(X86) ) )
          | ! [X87] :
              ( ndr1_0
             => ( c3_1(X87)
                | c2_1(X87)
                | c0_1(X87) ) ) )
        & ( hskp8
          | hskp4
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( hskp7
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c1_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c3_1(X90)
                | c1_1(X90)
                | c0_1(X90) ) ) )
        & ( hskp6
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | c2_1(X91) ) )
          | ! [X92] :
              ( ndr1_0
             => ( ~ c3_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | ~ c0_1(X93)
                | c2_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c2_1(X94)
                | ~ c0_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp4
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c1_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( hskp5
          | ! [X98] :
              ( ndr1_0
             => ( ~ c2_1(X98)
                | c3_1(X98)
                | c0_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) ) )
        & ( hskp4
          | hskp3
          | ! [X100] :
              ( ndr1_0
             => ( c3_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( hskp28
          | hskp27
          | ! [X101] :
              ( ndr1_0
             => ( c3_1(X101)
                | c1_1(X101)
                | c0_1(X101) ) ) )
        & ( ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | c3_1(X102)
                | c1_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | ~ c1_1(X103)
                | c0_1(X103) ) )
          | ! [X104] :
              ( ndr1_0
             => ( c3_1(X104)
                | c1_1(X104)
                | c0_1(X104) ) ) )
        & ( hskp2
          | hskp1
          | ! [X105] :
              ( ndr1_0
             => ( c2_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( hskp0
          | ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( c2_1(X107)
                | c1_1(X107)
                | c0_1(X107) ) ) )
        & ( ! [X108] :
              ( ndr1_0
             => ( ~ c2_1(X108)
                | ~ c1_1(X108)
                | c3_1(X108) ) )
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c2_1(X109)
                | c0_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c2_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( ( c3_1(a867)
            & c1_1(a867)
            & c0_1(a867)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a829)
            & c1_1(a829)
            & c0_1(a829)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a797)
            & c2_1(a797)
            & c1_1(a797)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a796)
            & c2_1(a796)
            & c0_1(a796)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a869)
            & c3_1(a869)
            & c2_1(a869)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a862)
            & ~ c1_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a856)
            & ~ c2_1(a856)
            & c0_1(a856)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a840)
            & c3_1(a840)
            & c1_1(a840)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a838)
            & c3_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a833)
            & ~ c0_1(a833)
            & c1_1(a833)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a832)
            & ~ c1_1(a832)
            & c2_1(a832)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a828)
            & ~ c2_1(a828)
            & ~ c1_1(a828)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a825)
            & c1_1(a825)
            & c0_1(a825)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a821)
            & ~ c1_1(a821)
            & ~ c0_1(a821)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a817)
            & c3_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a816)
            & ~ c1_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a814)
            & ~ c0_1(a814)
            & c1_1(a814)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a809)
            & c2_1(a809)
            & c1_1(a809)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a808)
            & ~ c1_1(a808)
            & c3_1(a808)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a807)
            & ~ c2_1(a807)
            & ~ c0_1(a807)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a806)
            & c1_1(a806)
            & c0_1(a806)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a805)
            & ~ c2_1(a805)
            & c1_1(a805)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a803)
            & c3_1(a803)
            & c1_1(a803)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a802)
            & ~ c0_1(a802)
            & c2_1(a802)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a800)
            & ~ c0_1(a800)
            & c3_1(a800)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a799)
            & c3_1(a799)
            & c0_1(a799)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a798)
            & c2_1(a798)
            & c0_1(a798)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a795)
            & ~ c1_1(a795)
            & ~ c0_1(a795)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a794)
            & ~ c0_1(a794)
            & c3_1(a794)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a793)
            & c2_1(a793)
            & c0_1(a793)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp11
          | hskp1
          | hskp22 )
        & ( hskp10
          | hskp8
          | hskp28 )
        & ( hskp5
          | hskp26
          | hskp4 )
        & ( hskp5
          | hskp24
          | hskp4 )
        & ( hskp28
          | hskp21
          | hskp27 )
        & ( hskp26
          | hskp3
          | hskp9 )
        & ( hskp19
          | hskp28
          | hskp30 )
        & ( hskp11
          | hskp21
          | ! [X110] :
              ( ndr1_0
             => ( ~ c3_1(X110)
                | ~ c2_1(X110)
                | ~ c1_1(X110) ) ) )
        & ( hskp19
          | hskp27
          | ! [X109] :
              ( ndr1_0
             => ( ~ c3_1(X109)
                | ~ c2_1(X109)
                | ~ c1_1(X109) ) ) )
        & ( hskp16
          | hskp15
          | ! [X108] :
              ( ndr1_0
             => ( ~ c3_1(X108)
                | ~ c2_1(X108)
                | ~ c0_1(X108) ) ) )
        & ( hskp11
          | hskp26
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | ~ c0_1(X107) ) ) )
        & ( hskp20
          | hskp30
          | ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c2_1(X106)
                | ~ c0_1(X106) ) ) )
        & ( hskp1
          | hskp25
          | ! [X105] :
              ( ndr1_0
             => ( ~ c3_1(X105)
                | ~ c1_1(X105)
                | ~ c0_1(X105) ) ) )
        & ( hskp22
          | hskp14
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c1_1(X104)
                | ~ c0_1(X104) ) ) )
        & ( hskp24
          | hskp14
          | ! [X103] :
              ( ndr1_0
             => ( ~ c3_1(X103)
                | ~ c1_1(X103)
                | ~ c0_1(X103) ) ) )
        & ( hskp3
          | hskp27
          | ! [X102] :
              ( ndr1_0
             => ( ~ c2_1(X102)
                | ~ c0_1(X102)
                | c3_1(X102) ) ) )
        & ( hskp5
          | ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c1_1(X101)
                | ~ c0_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | ~ c0_1(X100)
                | c3_1(X100) ) ) )
        & ( hskp13
          | hskp23
          | ! [X99] :
              ( ndr1_0
             => ( ~ c1_1(X99)
                | ~ c0_1(X99)
                | c3_1(X99) ) ) )
        & ( hskp20
          | hskp9
          | ! [X98] :
              ( ndr1_0
             => ( ~ c3_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) ) )
        & ( hskp28
          | hskp4
          | ! [X97] :
              ( ndr1_0
             => ( ~ c1_1(X97)
                | ~ c0_1(X97)
                | c2_1(X97) ) ) )
        & ( hskp28
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c2_1(X96) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c1_1(X95)
                | ~ c0_1(X95)
                | c2_1(X95) ) ) )
        & ( hskp1
          | hskp13
          | ! [X94] :
              ( ndr1_0
             => ( ~ c1_1(X94)
                | c3_1(X94)
                | c2_1(X94) ) ) )
        & ( hskp19
          | hskp28
          | ! [X93] :
              ( ndr1_0
             => ( ~ c1_1(X93)
                | c3_1(X93)
                | c2_1(X93) ) ) )
        & ( hskp8
          | hskp17
          | ! [X92] :
              ( ndr1_0
             => ( ~ c1_1(X92)
                | c3_1(X92)
                | c2_1(X92) ) ) )
        & ( hskp12
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | ~ c1_1(X91)
                | ~ c0_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c1_1(X90)
                | c3_1(X90)
                | c2_1(X90) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | ~ c0_1(X88)
                | c2_1(X88) ) )
          | ! [X87] :
              ( ndr1_0
             => ( ~ c1_1(X87)
                | c3_1(X87)
                | c2_1(X87) ) ) )
        & ( hskp28
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | ~ c1_1(X86)
                | ~ c0_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | ~ c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp21
          | hskp0
          | ! [X84] :
              ( ndr1_0
             => ( ~ c2_1(X84)
                | c3_1(X84)
                | c1_1(X84) ) ) )
        & ( hskp22
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | ~ c0_1(X83) ) )
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c3_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp18
          | hskp21
          | ! [X81] :
              ( ndr1_0
             => ( ~ c3_1(X81)
                | c2_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp1
          | hskp20
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp29
          | ! [X79] :
              ( ndr1_0
             => ( ~ c1_1(X79)
                | c3_1(X79)
                | c2_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( ~ c0_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( hskp2
          | hskp20
          | ! [X77] :
              ( ndr1_0
             => ( c3_1(X77)
                | c2_1(X77)
                | c1_1(X77) ) ) )
        & ( hskp19
          | ! [X76] :
              ( ndr1_0
             => ( ~ c3_1(X76)
                | ~ c1_1(X76)
                | c2_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp29
          | ! [X74] :
              ( ndr1_0
             => ( ~ c0_1(X74)
                | c2_1(X74)
                | c1_1(X74) ) )
          | ! [X73] :
              ( ndr1_0
             => ( c3_1(X73)
                | c2_1(X73)
                | c1_1(X73) ) ) )
        & ( hskp9
          | hskp29
          | ! [X72] :
              ( ndr1_0
             => ( ~ c3_1(X72)
                | ~ c2_1(X72)
                | c0_1(X72) ) ) )
        & ( ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c1_1(X71)
                | ~ c0_1(X71) ) )
          | ! [X70] :
              ( ndr1_0
             => ( ~ c2_1(X70)
                | ~ c1_1(X70)
                | ~ c0_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp18
          | hskp14
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp0
          | hskp17
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp8
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | c1_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | ~ c0_1(X64)
                | c2_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c1_1(X63)
                | c3_1(X63)
                | c2_1(X63) ) )
          | ! [X62] :
              ( ndr1_0
             => ( ~ c2_1(X62)
                | ~ c1_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp13
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c0_1(X61)
                | c1_1(X61) ) )
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp14
          | ! [X59] :
              ( ndr1_0
             => ( ~ c3_1(X59)
                | ~ c0_1(X59)
                | c1_1(X59) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | ~ c1_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp16
          | hskp13
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp5
          | hskp0
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp15
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c2_1(X55)
                | ~ c1_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c2_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( ! [X53] :
              ( ndr1_0
             => ( ~ c1_1(X53)
                | ~ c0_1(X53)
                | c3_1(X53) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c2_1(X52) ) )
          | ! [X51] :
              ( ndr1_0
             => ( ~ c2_1(X51)
                | c3_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp14
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) )
          | ! [X49] :
              ( ndr1_0
             => ( ~ c2_1(X49)
                | c3_1(X49)
                | c0_1(X49) ) ) )
        & ( hskp6
          | hskp13
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c3_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp3
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | c3_1(X47)
                | c2_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c3_1(X46)
                | c0_1(X46) ) ) )
        & ( ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | ~ c0_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c1_1(X44) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c1_1(X43)
                | c3_1(X43)
                | c0_1(X43) ) ) )
        & ( hskp10
          | hskp1
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | c2_1(X42)
                | c0_1(X42) ) ) )
        & ( hskp9
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | ~ c0_1(X41)
                | c2_1(X41) ) )
          | ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c0_1(X40) ) ) )
        & ( ! [X39] :
              ( ndr1_0
             => ( ~ c2_1(X39)
                | ~ c1_1(X39)
                | c3_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c3_1(X38)
                | ~ c1_1(X38)
                | c0_1(X38) ) )
          | ! [X37] :
              ( ndr1_0
             => ( ~ c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | ~ c0_1(X36)
                | c3_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c2_1(X35)
                | ~ c1_1(X35)
                | c0_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( ~ c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp12
          | ! [X33] :
              ( ndr1_0
             => ( ~ c2_1(X33)
                | c3_1(X33)
                | c0_1(X33) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c0_1(X32) ) ) )
        & ( hskp11
          | ! [X31] :
              ( ndr1_0
             => ( ~ c1_1(X31)
                | c3_1(X31)
                | c0_1(X31) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c0_1(X30) ) ) )
        & ( hskp10
          | hskp9
          | ! [X29] :
              ( ndr1_0
             => ( c3_1(X29)
                | c2_1(X29)
                | c0_1(X29) ) ) )
        & ( ! [X28] :
              ( ndr1_0
             => ( ~ c0_1(X28)
                | c3_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c2_1(X27)
                | c1_1(X27) ) )
          | ! [X26] :
              ( ndr1_0
             => ( c3_1(X26)
                | c2_1(X26)
                | c0_1(X26) ) ) )
        & ( ! [X25] :
              ( ndr1_0
             => ( ~ c1_1(X25)
                | ~ c0_1(X25)
                | c3_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | ~ c1_1(X24)
                | c0_1(X24) ) )
          | ! [X23] :
              ( ndr1_0
             => ( c3_1(X23)
                | c2_1(X23)
                | c0_1(X23) ) ) )
        & ( hskp8
          | hskp4
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | c1_1(X22)
                | c0_1(X22) ) ) )
        & ( hskp7
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp6
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c1_1(X19)
                | c2_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c2_1(X16)
                | ~ c0_1(X16)
                | c1_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c3_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( hskp4
          | ! [X14] :
              ( ndr1_0
             => ( ~ c2_1(X14)
                | c3_1(X14)
                | c1_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) ) )
        & ( hskp5
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c3_1(X12)
                | c0_1(X12) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | c1_1(X11)
                | c0_1(X11) ) ) )
        & ( hskp4
          | hskp3
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( hskp28
          | hskp27
          | ! [X9] :
              ( ndr1_0
             => ( c3_1(X9)
                | c1_1(X9)
                | c0_1(X9) ) ) )
        & ( ! [X8] :
              ( ndr1_0
             => ( ~ c2_1(X8)
                | c3_1(X8)
                | c1_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( ~ c2_1(X7)
                | ~ c1_1(X7)
                | c0_1(X7) ) )
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c1_1(X6)
                | c0_1(X6) ) ) )
        & ( hskp2
          | hskp1
          | ! [X5] :
              ( ndr1_0
             => ( c2_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( hskp0
          | ! [X4] :
              ( ndr1_0
             => ( ~ c2_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) ) )
        & ( ! [X2] :
              ( ndr1_0
             => ( ~ c2_1(X2)
                | ~ c1_1(X2)
                | c3_1(X2) ) )
          | ! [X1] :
              ( ndr1_0
             => ( c3_1(X1)
                | c2_1(X1)
                | c0_1(X1) ) )
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a867)
            & c1_1(a867)
            & c0_1(a867)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c2_1(a829)
            & c1_1(a829)
            & c0_1(a829)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c3_1(a797)
            & c2_1(a797)
            & c1_1(a797)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( c3_1(a796)
            & c2_1(a796)
            & c0_1(a796)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c0_1(a869)
            & c3_1(a869)
            & c2_1(a869)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c3_1(a865)
            & c2_1(a865)
            & c1_1(a865)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c3_1(a862)
            & ~ c1_1(a862)
            & c0_1(a862)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c3_1(a856)
            & ~ c2_1(a856)
            & c0_1(a856)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c0_1(a840)
            & c3_1(a840)
            & c1_1(a840)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c2_1(a838)
            & c3_1(a838)
            & c0_1(a838)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c2_1(a833)
            & ~ c0_1(a833)
            & c1_1(a833)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c3_1(a832)
            & ~ c1_1(a832)
            & c2_1(a832)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c3_1(a828)
            & ~ c2_1(a828)
            & ~ c1_1(a828)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c2_1(a825)
            & c1_1(a825)
            & c0_1(a825)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c2_1(a821)
            & ~ c1_1(a821)
            & ~ c0_1(a821)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c1_1(a817)
            & c3_1(a817)
            & c2_1(a817)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a816)
            & ~ c1_1(a816)
            & c0_1(a816)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c3_1(a814)
            & ~ c0_1(a814)
            & c1_1(a814)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c0_1(a809)
            & c2_1(a809)
            & c1_1(a809)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c2_1(a808)
            & ~ c1_1(a808)
            & c3_1(a808)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c3_1(a807)
            & ~ c2_1(a807)
            & ~ c0_1(a807)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c3_1(a806)
            & c1_1(a806)
            & c0_1(a806)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c3_1(a805)
            & ~ c2_1(a805)
            & c1_1(a805)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c2_1(a803)
            & c3_1(a803)
            & c1_1(a803)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c1_1(a802)
            & ~ c0_1(a802)
            & c2_1(a802)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c1_1(a800)
            & ~ c0_1(a800)
            & c3_1(a800)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c1_1(a799)
            & c3_1(a799)
            & c0_1(a799)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a798)
            & c2_1(a798)
            & c0_1(a798)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a795)
            & ~ c1_1(a795)
            & ~ c0_1(a795)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a794)
            & ~ c0_1(a794)
            & c3_1(a794)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c1_1(a793)
            & c2_1(a793)
            & c0_1(a793)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp11
        | hskp1
        | hskp22 )
      & ( hskp10
        | hskp8
        | hskp28 )
      & ( hskp5
        | hskp26
        | hskp4 )
      & ( hskp5
        | hskp24
        | hskp4 )
      & ( hskp28
        | hskp21
        | hskp27 )
      & ( hskp26
        | hskp3
        | hskp9 )
      & ( hskp19
        | hskp28
        | hskp30 )
      & ( hskp11
        | hskp21
        | ! [X110] :
            ( ndr1_0
           => ( ~ c3_1(X110)
              | ~ c2_1(X110)
              | ~ c1_1(X110) ) ) )
      & ( hskp19
        | hskp27
        | ! [X109] :
            ( ndr1_0
           => ( ~ c3_1(X109)
              | ~ c2_1(X109)
              | ~ c1_1(X109) ) ) )
      & ( hskp16
        | hskp15
        | ! [X108] :
            ( ndr1_0
           => ( ~ c3_1(X108)
              | ~ c2_1(X108)
              | ~ c0_1(X108) ) ) )
      & ( hskp11
        | hskp26
        | ! [X107] :
            ( ndr1_0
           => ( ~ c3_1(X107)
              | ~ c2_1(X107)
              | ~ c0_1(X107) ) ) )
      & ( hskp20
        | hskp30
        | ! [X106] :
            ( ndr1_0
           => ( ~ c3_1(X106)
              | ~ c2_1(X106)
              | ~ c0_1(X106) ) ) )
      & ( hskp1
        | hskp25
        | ! [X105] :
            ( ndr1_0
           => ( ~ c3_1(X105)
              | ~ c1_1(X105)
              | ~ c0_1(X105) ) ) )
      & ( hskp22
        | hskp14
        | ! [X104] :
            ( ndr1_0
           => ( ~ c3_1(X104)
              | ~ c1_1(X104)
              | ~ c0_1(X104) ) ) )
      & ( hskp24
        | hskp14
        | ! [X103] :
            ( ndr1_0
           => ( ~ c3_1(X103)
              | ~ c1_1(X103)
              | ~ c0_1(X103) ) ) )
      & ( hskp3
        | hskp27
        | ! [X102] :
            ( ndr1_0
           => ( ~ c2_1(X102)
              | ~ c0_1(X102)
              | c3_1(X102) ) ) )
      & ( hskp5
        | ! [X101] :
            ( ndr1_0
           => ( ~ c3_1(X101)
              | ~ c1_1(X101)
              | ~ c0_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c2_1(X100)
              | ~ c0_1(X100)
              | c3_1(X100) ) ) )
      & ( hskp13
        | hskp23
        | ! [X99] :
            ( ndr1_0
           => ( ~ c1_1(X99)
              | ~ c0_1(X99)
              | c3_1(X99) ) ) )
      & ( hskp20
        | hskp9
        | ! [X98] :
            ( ndr1_0
           => ( ~ c3_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) ) )
      & ( hskp28
        | hskp4
        | ! [X97] :
            ( ndr1_0
           => ( ~ c1_1(X97)
              | ~ c0_1(X97)
              | c2_1(X97) ) ) )
      & ( hskp28
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c2_1(X96) ) )
        | ! [X95] :
            ( ndr1_0
           => ( ~ c1_1(X95)
              | ~ c0_1(X95)
              | c2_1(X95) ) ) )
      & ( hskp1
        | hskp13
        | ! [X94] :
            ( ndr1_0
           => ( ~ c1_1(X94)
              | c3_1(X94)
              | c2_1(X94) ) ) )
      & ( hskp19
        | hskp28
        | ! [X93] :
            ( ndr1_0
           => ( ~ c1_1(X93)
              | c3_1(X93)
              | c2_1(X93) ) ) )
      & ( hskp8
        | hskp17
        | ! [X92] :
            ( ndr1_0
           => ( ~ c1_1(X92)
              | c3_1(X92)
              | c2_1(X92) ) ) )
      & ( hskp12
        | ! [X91] :
            ( ndr1_0
           => ( ~ c3_1(X91)
              | ~ c1_1(X91)
              | ~ c0_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c1_1(X90)
              | c3_1(X90)
              | c2_1(X90) ) ) )
      & ( ! [X89] :
            ( ndr1_0
           => ( ~ c2_1(X89)
              | ~ c0_1(X89)
              | c3_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c3_1(X88)
              | ~ c0_1(X88)
              | c2_1(X88) ) )
        | ! [X87] :
            ( ndr1_0
           => ( ~ c1_1(X87)
              | c3_1(X87)
              | c2_1(X87) ) ) )
      & ( hskp28
        | ! [X86] :
            ( ndr1_0
           => ( ~ c3_1(X86)
              | ~ c1_1(X86)
              | ~ c0_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | ~ c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp21
        | hskp0
        | ! [X84] :
            ( ndr1_0
           => ( ~ c2_1(X84)
              | c3_1(X84)
              | c1_1(X84) ) ) )
      & ( hskp22
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | ~ c1_1(X83)
              | ~ c0_1(X83) ) )
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c3_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp18
        | hskp21
        | ! [X81] :
            ( ndr1_0
           => ( ~ c3_1(X81)
              | c2_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp1
        | hskp20
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp29
        | ! [X79] :
            ( ndr1_0
           => ( ~ c1_1(X79)
              | c3_1(X79)
              | c2_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( ~ c0_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( hskp2
        | hskp20
        | ! [X77] :
            ( ndr1_0
           => ( c3_1(X77)
              | c2_1(X77)
              | c1_1(X77) ) ) )
      & ( hskp19
        | ! [X76] :
            ( ndr1_0
           => ( ~ c3_1(X76)
              | ~ c1_1(X76)
              | c2_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp29
        | ! [X74] :
            ( ndr1_0
           => ( ~ c0_1(X74)
              | c2_1(X74)
              | c1_1(X74) ) )
        | ! [X73] :
            ( ndr1_0
           => ( c3_1(X73)
              | c2_1(X73)
              | c1_1(X73) ) ) )
      & ( hskp9
        | hskp29
        | ! [X72] :
            ( ndr1_0
           => ( ~ c3_1(X72)
              | ~ c2_1(X72)
              | c0_1(X72) ) ) )
      & ( ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c1_1(X71)
              | ~ c0_1(X71) ) )
        | ! [X70] :
            ( ndr1_0
           => ( ~ c2_1(X70)
              | ~ c1_1(X70)
              | ~ c0_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp18
        | hskp14
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp0
        | hskp17
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp8
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | c1_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c1_1(X65)
              | c0_1(X65) ) ) )
      & ( ! [X64] :
            ( ndr1_0
           => ( ~ c1_1(X64)
              | ~ c0_1(X64)
              | c2_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c1_1(X63)
              | c3_1(X63)
              | c2_1(X63) ) )
        | ! [X62] :
            ( ndr1_0
           => ( ~ c2_1(X62)
              | ~ c1_1(X62)
              | c0_1(X62) ) ) )
      & ( hskp13
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c0_1(X61)
              | c1_1(X61) ) )
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp14
        | ! [X59] :
            ( ndr1_0
           => ( ~ c3_1(X59)
              | ~ c0_1(X59)
              | c1_1(X59) ) )
        | ! [X58] :
            ( ndr1_0
           => ( ~ c2_1(X58)
              | ~ c1_1(X58)
              | c0_1(X58) ) ) )
      & ( hskp16
        | hskp13
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp5
        | hskp0
        | ! [X56] :
            ( ndr1_0
           => ( ~ c2_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp15
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c2_1(X55)
              | ~ c1_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c2_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( ! [X53] :
            ( ndr1_0
           => ( ~ c1_1(X53)
              | ~ c0_1(X53)
              | c3_1(X53) ) )
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | ~ c1_1(X52)
              | c2_1(X52) ) )
        | ! [X51] :
            ( ndr1_0
           => ( ~ c2_1(X51)
              | c3_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp14
        | ! [X50] :
            ( ndr1_0
           => ( ~ c3_1(X50)
              | ~ c1_1(X50)
              | c0_1(X50) ) )
        | ! [X49] :
            ( ndr1_0
           => ( ~ c2_1(X49)
              | c3_1(X49)
              | c0_1(X49) ) ) )
      & ( hskp6
        | hskp13
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c3_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp3
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | c3_1(X47)
              | c2_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c3_1(X46)
              | c0_1(X46) ) ) )
      & ( ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | ~ c0_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c3_1(X44)
              | ~ c2_1(X44)
              | c1_1(X44) ) )
        | ! [X43] :
            ( ndr1_0
           => ( ~ c1_1(X43)
              | c3_1(X43)
              | c0_1(X43) ) ) )
      & ( hskp10
        | hskp1
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | c2_1(X42)
              | c0_1(X42) ) ) )
      & ( hskp9
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | ~ c0_1(X41)
              | c2_1(X41) ) )
        | ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c0_1(X40) ) ) )
      & ( ! [X39] :
            ( ndr1_0
           => ( ~ c2_1(X39)
              | ~ c1_1(X39)
              | c3_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c3_1(X38)
              | ~ c1_1(X38)
              | c0_1(X38) ) )
        | ! [X37] :
            ( ndr1_0
           => ( ~ c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c2_1(X36)
              | ~ c0_1(X36)
              | c3_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c2_1(X35)
              | ~ c1_1(X35)
              | c0_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( ~ c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp12
        | ! [X33] :
            ( ndr1_0
           => ( ~ c2_1(X33)
              | c3_1(X33)
              | c0_1(X33) ) )
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | c2_1(X32)
              | c0_1(X32) ) ) )
      & ( hskp11
        | ! [X31] :
            ( ndr1_0
           => ( ~ c1_1(X31)
              | c3_1(X31)
              | c0_1(X31) ) )
        | ! [X30] :
            ( ndr1_0
           => ( ~ c3_1(X30)
              | c2_1(X30)
              | c0_1(X30) ) ) )
      & ( hskp10
        | hskp9
        | ! [X29] :
            ( ndr1_0
           => ( c3_1(X29)
              | c2_1(X29)
              | c0_1(X29) ) ) )
      & ( ! [X28] :
            ( ndr1_0
           => ( ~ c0_1(X28)
              | c3_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c2_1(X27)
              | c1_1(X27) ) )
        | ! [X26] :
            ( ndr1_0
           => ( c3_1(X26)
              | c2_1(X26)
              | c0_1(X26) ) ) )
      & ( ! [X25] :
            ( ndr1_0
           => ( ~ c1_1(X25)
              | ~ c0_1(X25)
              | c3_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | ~ c1_1(X24)
              | c0_1(X24) ) )
        | ! [X23] :
            ( ndr1_0
           => ( c3_1(X23)
              | c2_1(X23)
              | c0_1(X23) ) ) )
      & ( hskp8
        | hskp4
        | ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | c1_1(X22)
              | c0_1(X22) ) ) )
      & ( hskp7
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | ~ c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c3_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp6
        | ! [X19] :
            ( ndr1_0
           => ( ~ c3_1(X19)
              | ~ c1_1(X19)
              | c2_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c3_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | ~ c0_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c2_1(X16)
              | ~ c0_1(X16)
              | c1_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c3_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( hskp4
        | ! [X14] :
            ( ndr1_0
           => ( ~ c2_1(X14)
              | c3_1(X14)
              | c1_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) ) )
      & ( hskp5
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c3_1(X12)
              | c0_1(X12) ) )
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | c1_1(X11)
              | c0_1(X11) ) ) )
      & ( hskp4
        | hskp3
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( hskp28
        | hskp27
        | ! [X9] :
            ( ndr1_0
           => ( c3_1(X9)
              | c1_1(X9)
              | c0_1(X9) ) ) )
      & ( ! [X8] :
            ( ndr1_0
           => ( ~ c2_1(X8)
              | c3_1(X8)
              | c1_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( ~ c2_1(X7)
              | ~ c1_1(X7)
              | c0_1(X7) ) )
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c1_1(X6)
              | c0_1(X6) ) ) )
      & ( hskp2
        | hskp1
        | ! [X5] :
            ( ndr1_0
           => ( c2_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( hskp0
        | ! [X4] :
            ( ndr1_0
           => ( ~ c2_1(X4)
              | ~ c0_1(X4)
              | c3_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) ) )
      & ( ! [X2] :
            ( ndr1_0
           => ( ~ c2_1(X2)
              | ~ c1_1(X2)
              | c3_1(X2) ) )
        | ! [X1] :
            ( ndr1_0
           => ( c3_1(X1)
              | c2_1(X1)
              | c0_1(X1) ) )
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a867)
          & c1_1(a867)
          & c0_1(a867)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c2_1(a829)
          & c1_1(a829)
          & c0_1(a829)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c3_1(a797)
          & c2_1(a797)
          & c1_1(a797)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( c3_1(a796)
          & c2_1(a796)
          & c0_1(a796)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c0_1(a869)
          & c3_1(a869)
          & c2_1(a869)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c3_1(a865)
          & c2_1(a865)
          & c1_1(a865)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c3_1(a862)
          & ~ c1_1(a862)
          & c0_1(a862)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c3_1(a856)
          & ~ c2_1(a856)
          & c0_1(a856)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c0_1(a840)
          & c3_1(a840)
          & c1_1(a840)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c2_1(a838)
          & c3_1(a838)
          & c0_1(a838)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c2_1(a833)
          & ~ c0_1(a833)
          & c1_1(a833)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c3_1(a832)
          & ~ c1_1(a832)
          & c2_1(a832)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c3_1(a828)
          & ~ c2_1(a828)
          & ~ c1_1(a828)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c2_1(a825)
          & c1_1(a825)
          & c0_1(a825)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c2_1(a821)
          & ~ c1_1(a821)
          & ~ c0_1(a821)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c1_1(a817)
          & c3_1(a817)
          & c2_1(a817)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a816)
          & ~ c1_1(a816)
          & c0_1(a816)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c3_1(a814)
          & ~ c0_1(a814)
          & c1_1(a814)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c0_1(a809)
          & c2_1(a809)
          & c1_1(a809)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c2_1(a808)
          & ~ c1_1(a808)
          & c3_1(a808)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c3_1(a807)
          & ~ c2_1(a807)
          & ~ c0_1(a807)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c3_1(a806)
          & c1_1(a806)
          & c0_1(a806)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c3_1(a805)
          & ~ c2_1(a805)
          & c1_1(a805)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c2_1(a803)
          & c3_1(a803)
          & c1_1(a803)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c1_1(a802)
          & ~ c0_1(a802)
          & c2_1(a802)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c1_1(a800)
          & ~ c0_1(a800)
          & c3_1(a800)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c1_1(a799)
          & c3_1(a799)
          & c0_1(a799)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a798)
          & c2_1(a798)
          & c0_1(a798)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a795)
          & ~ c1_1(a795)
          & ~ c0_1(a795)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a794)
          & ~ c0_1(a794)
          & c3_1(a794)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c1_1(a793)
          & c2_1(a793)
          & c0_1(a793)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/tmp/tmp.RhMDmnX6au/Vampire---4.8_27443',co1) ).

fof(f997,plain,
    ( ~ spl0_2
    | ~ spl0_150 ),
    inference(avatar_split_clause,[],[f13,f994,f242]) ).

fof(f13,plain,
    ( ~ c0_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f992,plain,
    ( ~ spl0_2
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f14,f989,f242]) ).

fof(f14,plain,
    ( ~ c2_1(a794)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f986,plain,
    ( ~ spl0_44
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f16,f983,f428]) ).

fof(f428,plain,
    ( spl0_44
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f16,plain,
    ( ~ c0_1(a795)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f976,plain,
    ( ~ spl0_44
    | ~ spl0_146 ),
    inference(avatar_split_clause,[],[f18,f973,f428]) ).

fof(f18,plain,
    ( ~ c3_1(a795)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f970,plain,
    ( ~ spl0_14
    | spl0_145 ),
    inference(avatar_split_clause,[],[f20,f967,f295]) ).

fof(f295,plain,
    ( spl0_14
  <=> hskp3 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f20,plain,
    ( c0_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f965,plain,
    ( ~ spl0_14
    | spl0_144 ),
    inference(avatar_split_clause,[],[f21,f962,f295]) ).

fof(f21,plain,
    ( c2_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f960,plain,
    ( ~ spl0_14
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f22,f957,f295]) ).

fof(f22,plain,
    ( ~ c3_1(a798)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f955,plain,
    ( ~ spl0_7
    | spl0_17 ),
    inference(avatar_split_clause,[],[f23,f309,f264]) ).

fof(f264,plain,
    ( spl0_7
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f309,plain,
    ( spl0_17
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

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

fof(f954,plain,
    ( ~ spl0_7
    | spl0_142 ),
    inference(avatar_split_clause,[],[f24,f951,f264]) ).

fof(f24,plain,
    ( c0_1(a799)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f949,plain,
    ( ~ spl0_7
    | spl0_141 ),
    inference(avatar_split_clause,[],[f25,f946,f264]) ).

fof(f25,plain,
    ( c3_1(a799)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f944,plain,
    ( ~ spl0_7
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f26,f941,f264]) ).

fof(f26,plain,
    ( ~ c1_1(a799)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f939,plain,
    ( ~ spl0_9
    | spl0_17 ),
    inference(avatar_split_clause,[],[f27,f309,f272]) ).

fof(f272,plain,
    ( spl0_9
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f27,plain,
    ( ndr1_0
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f938,plain,
    ( ~ spl0_9
    | spl0_139 ),
    inference(avatar_split_clause,[],[f28,f935,f272]) ).

fof(f28,plain,
    ( c3_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f933,plain,
    ( ~ spl0_9
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f29,f930,f272]) ).

fof(f29,plain,
    ( ~ c0_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f928,plain,
    ( ~ spl0_9
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f30,f925,f272]) ).

fof(f30,plain,
    ( ~ c1_1(a800)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f922,plain,
    ( ~ spl0_53
    | spl0_136 ),
    inference(avatar_split_clause,[],[f32,f919,f472]) ).

fof(f472,plain,
    ( spl0_53
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f32,plain,
    ( c2_1(a802)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f917,plain,
    ( ~ spl0_53
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f33,f914,f472]) ).

fof(f33,plain,
    ( ~ c0_1(a802)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f890,plain,
    ( ~ spl0_5
    | spl0_130 ),
    inference(avatar_split_clause,[],[f40,f887,f255]) ).

fof(f255,plain,
    ( spl0_5
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f40,plain,
    ( c1_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f885,plain,
    ( ~ spl0_5
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f41,f882,f255]) ).

fof(f41,plain,
    ( ~ c2_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f880,plain,
    ( ~ spl0_5
    | ~ spl0_128 ),
    inference(avatar_split_clause,[],[f42,f877,f255]) ).

fof(f42,plain,
    ( ~ c3_1(a805)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f874,plain,
    ( ~ spl0_13
    | spl0_127 ),
    inference(avatar_split_clause,[],[f44,f871,f291]) ).

fof(f291,plain,
    ( spl0_13
  <=> hskp9 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f44,plain,
    ( c0_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f869,plain,
    ( ~ spl0_13
    | spl0_126 ),
    inference(avatar_split_clause,[],[f45,f866,f291]) ).

fof(f45,plain,
    ( c1_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f864,plain,
    ( ~ spl0_13
    | ~ spl0_125 ),
    inference(avatar_split_clause,[],[f46,f861,f291]) ).

fof(f46,plain,
    ( ~ c3_1(a806)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f858,plain,
    ( ~ spl0_6
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f48,f855,f259]) ).

fof(f259,plain,
    ( spl0_6
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_6])]) ).

fof(f48,plain,
    ( ~ c0_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f853,plain,
    ( ~ spl0_6
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f49,f850,f259]) ).

fof(f49,plain,
    ( ~ c2_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f848,plain,
    ( ~ spl0_6
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f50,f845,f259]) ).

fof(f50,plain,
    ( ~ c3_1(a807)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f842,plain,
    ( ~ spl0_3
    | spl0_121 ),
    inference(avatar_split_clause,[],[f52,f839,f246]) ).

fof(f246,plain,
    ( spl0_3
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f52,plain,
    ( c3_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f837,plain,
    ( ~ spl0_3
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f53,f834,f246]) ).

fof(f53,plain,
    ( ~ c1_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f832,plain,
    ( ~ spl0_3
    | ~ spl0_119 ),
    inference(avatar_split_clause,[],[f54,f829,f246]) ).

fof(f54,plain,
    ( ~ c2_1(a808)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f826,plain,
    ( ~ spl0_34
    | spl0_118 ),
    inference(avatar_split_clause,[],[f56,f823,f386]) ).

fof(f386,plain,
    ( spl0_34
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f56,plain,
    ( c1_1(a809)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f821,plain,
    ( ~ spl0_34
    | spl0_117 ),
    inference(avatar_split_clause,[],[f57,f818,f386]) ).

fof(f57,plain,
    ( c2_1(a809)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f816,plain,
    ( ~ spl0_34
    | ~ spl0_116 ),
    inference(avatar_split_clause,[],[f58,f813,f386]) ).

fof(f58,plain,
    ( ~ c0_1(a809)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f810,plain,
    ( ~ spl0_29
    | spl0_115 ),
    inference(avatar_split_clause,[],[f60,f807,f362]) ).

fof(f362,plain,
    ( spl0_29
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f60,plain,
    ( c1_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f805,plain,
    ( ~ spl0_29
    | ~ spl0_114 ),
    inference(avatar_split_clause,[],[f61,f802,f362]) ).

fof(f61,plain,
    ( ~ c0_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f800,plain,
    ( ~ spl0_29
    | ~ spl0_113 ),
    inference(avatar_split_clause,[],[f62,f797,f362]) ).

fof(f62,plain,
    ( ~ c3_1(a814)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f794,plain,
    ( ~ spl0_25
    | spl0_112 ),
    inference(avatar_split_clause,[],[f64,f791,f344]) ).

fof(f344,plain,
    ( spl0_25
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f64,plain,
    ( c0_1(a816)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f789,plain,
    ( ~ spl0_25
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f65,f786,f344]) ).

fof(f65,plain,
    ( ~ c1_1(a816)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f784,plain,
    ( ~ spl0_25
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f66,f781,f344]) ).

fof(f66,plain,
    ( ~ c2_1(a816)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f730,plain,
    ( ~ spl0_40
    | ~ spl0_100 ),
    inference(avatar_split_clause,[],[f80,f727,f411]) ).

fof(f411,plain,
    ( spl0_40
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f80,plain,
    ( ~ c1_1(a828)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f725,plain,
    ( ~ spl0_40
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f81,f722,f411]) ).

fof(f81,plain,
    ( ~ c2_1(a828)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f720,plain,
    ( ~ spl0_40
    | ~ spl0_98 ),
    inference(avatar_split_clause,[],[f82,f717,f411]) ).

fof(f82,plain,
    ( ~ c3_1(a828)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f714,plain,
    ( ~ spl0_16
    | spl0_97 ),
    inference(avatar_split_clause,[],[f84,f711,f304]) ).

fof(f304,plain,
    ( spl0_16
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f84,plain,
    ( c2_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f709,plain,
    ( ~ spl0_16
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f85,f706,f304]) ).

fof(f85,plain,
    ( ~ c1_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f704,plain,
    ( ~ spl0_16
    | ~ spl0_95 ),
    inference(avatar_split_clause,[],[f86,f701,f304]) ).

fof(f86,plain,
    ( ~ c3_1(a832)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f698,plain,
    ( ~ spl0_22
    | spl0_94 ),
    inference(avatar_split_clause,[],[f88,f695,f331]) ).

fof(f331,plain,
    ( spl0_22
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f88,plain,
    ( c1_1(a833)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f693,plain,
    ( ~ spl0_22
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f89,f690,f331]) ).

fof(f89,plain,
    ( ~ c0_1(a833)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f688,plain,
    ( ~ spl0_22
    | ~ spl0_92 ),
    inference(avatar_split_clause,[],[f90,f685,f331]) ).

fof(f90,plain,
    ( ~ c2_1(a833)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f682,plain,
    ( ~ spl0_12
    | spl0_91 ),
    inference(avatar_split_clause,[],[f92,f679,f286]) ).

fof(f286,plain,
    ( spl0_12
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

fof(f92,plain,
    ( c0_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f677,plain,
    ( ~ spl0_12
    | spl0_90 ),
    inference(avatar_split_clause,[],[f93,f674,f286]) ).

fof(f93,plain,
    ( c3_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f672,plain,
    ( ~ spl0_12
    | ~ spl0_89 ),
    inference(avatar_split_clause,[],[f94,f669,f286]) ).

fof(f94,plain,
    ( ~ c2_1(a838)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f666,plain,
    ( ~ spl0_1
    | spl0_88 ),
    inference(avatar_split_clause,[],[f96,f663,f238]) ).

fof(f238,plain,
    ( spl0_1
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f96,plain,
    ( c1_1(a840)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f661,plain,
    ( ~ spl0_1
    | spl0_87 ),
    inference(avatar_split_clause,[],[f97,f658,f238]) ).

fof(f97,plain,
    ( c3_1(a840)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f656,plain,
    ( ~ spl0_1
    | ~ spl0_86 ),
    inference(avatar_split_clause,[],[f98,f653,f238]) ).

fof(f98,plain,
    ( ~ c0_1(a840)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f650,plain,
    ( ~ spl0_28
    | spl0_85 ),
    inference(avatar_split_clause,[],[f100,f647,f358]) ).

fof(f358,plain,
    ( spl0_28
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f100,plain,
    ( c0_1(a856)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f645,plain,
    ( ~ spl0_28
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f101,f642,f358]) ).

fof(f101,plain,
    ( ~ c2_1(a856)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f640,plain,
    ( ~ spl0_28
    | ~ spl0_83 ),
    inference(avatar_split_clause,[],[f102,f637,f358]) ).

fof(f102,plain,
    ( ~ c3_1(a856)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f635,plain,
    ( ~ spl0_10
    | spl0_17 ),
    inference(avatar_split_clause,[],[f103,f309,f277]) ).

fof(f277,plain,
    ( spl0_10
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f103,plain,
    ( ndr1_0
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f602,plain,
    ( ~ spl0_8
    | spl0_76 ),
    inference(avatar_split_clause,[],[f112,f599,f268]) ).

fof(f268,plain,
    ( spl0_8
  <=> hskp26 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f112,plain,
    ( c2_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f597,plain,
    ( ~ spl0_8
    | spl0_75 ),
    inference(avatar_split_clause,[],[f113,f594,f268]) ).

fof(f113,plain,
    ( c3_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f592,plain,
    ( ~ spl0_8
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f114,f589,f268]) ).

fof(f114,plain,
    ( ~ c0_1(a869)
    | ~ hskp26 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f586,plain,
    ( ~ spl0_11
    | spl0_73 ),
    inference(avatar_split_clause,[],[f116,f583,f282]) ).

fof(f282,plain,
    ( spl0_11
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f116,plain,
    ( c0_1(a796)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f581,plain,
    ( ~ spl0_11
    | spl0_72 ),
    inference(avatar_split_clause,[],[f117,f578,f282]) ).

fof(f117,plain,
    ( c2_1(a796)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f576,plain,
    ( ~ spl0_11
    | spl0_71 ),
    inference(avatar_split_clause,[],[f118,f573,f282]) ).

fof(f118,plain,
    ( c3_1(a796)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f570,plain,
    ( ~ spl0_4
    | spl0_70 ),
    inference(avatar_split_clause,[],[f120,f567,f251]) ).

fof(f251,plain,
    ( spl0_4
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f120,plain,
    ( c1_1(a797)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f565,plain,
    ( ~ spl0_4
    | spl0_69 ),
    inference(avatar_split_clause,[],[f121,f562,f251]) ).

fof(f121,plain,
    ( c2_1(a797)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f560,plain,
    ( ~ spl0_4
    | spl0_68 ),
    inference(avatar_split_clause,[],[f122,f557,f251]) ).

fof(f122,plain,
    ( c3_1(a797)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f554,plain,
    ( ~ spl0_42
    | spl0_67 ),
    inference(avatar_split_clause,[],[f124,f551,f420]) ).

fof(f420,plain,
    ( spl0_42
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_42])]) ).

fof(f124,plain,
    ( c0_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f549,plain,
    ( ~ spl0_42
    | spl0_66 ),
    inference(avatar_split_clause,[],[f125,f546,f420]) ).

fof(f125,plain,
    ( c1_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f544,plain,
    ( ~ spl0_42
    | spl0_65 ),
    inference(avatar_split_clause,[],[f126,f541,f420]) ).

fof(f126,plain,
    ( c2_1(a829)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f538,plain,
    ( ~ spl0_15
    | spl0_64 ),
    inference(avatar_split_clause,[],[f128,f535,f300]) ).

fof(f300,plain,
    ( spl0_15
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f128,plain,
    ( c0_1(a867)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f533,plain,
    ( ~ spl0_15
    | spl0_63 ),
    inference(avatar_split_clause,[],[f129,f530,f300]) ).

fof(f129,plain,
    ( c1_1(a867)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f528,plain,
    ( ~ spl0_15
    | spl0_62 ),
    inference(avatar_split_clause,[],[f130,f525,f300]) ).

fof(f130,plain,
    ( c3_1(a867)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( spl0_57
    | ~ spl0_17
    | spl0_36
    | spl0_7 ),
    inference(avatar_split_clause,[],[f207,f264,f396,f309,f497]) ).

fof(f207,plain,
    ! [X96,X97] :
      ( hskp4
      | ~ c2_1(X96)
      | c3_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | ~ c3_1(X97)
      | c1_1(X97)
      | c0_1(X97) ),
    inference(duplicate_literal_removal,[],[f138]) ).

fof(f138,plain,
    ! [X96,X97] :
      ( hskp4
      | ~ c2_1(X96)
      | c3_1(X96)
      | c1_1(X96)
      | ~ ndr1_0
      | ~ c3_1(X97)
      | c1_1(X97)
      | c0_1(X97)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f505,plain,
    ( spl0_57
    | ~ spl0_17
    | spl0_45
    | spl0_53 ),
    inference(avatar_split_clause,[],[f209,f472,f433,f309,f497]) ).

fof(f209,plain,
    ! [X91,X92] :
      ( hskp6
      | ~ c3_1(X91)
      | ~ c1_1(X91)
      | c2_1(X91)
      | ~ ndr1_0
      | ~ c3_1(X92)
      | c1_1(X92)
      | c0_1(X92) ),
    inference(duplicate_literal_removal,[],[f140]) ).

fof(f140,plain,
    ! [X91,X92] :
      ( hskp6
      | ~ c3_1(X91)
      | ~ c1_1(X91)
      | c2_1(X91)
      | ~ ndr1_0
      | ~ c3_1(X92)
      | c1_1(X92)
      | c0_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f499,plain,
    ( ~ spl0_17
    | spl0_57
    | spl0_7
    | spl0_5 ),
    inference(avatar_split_clause,[],[f142,f255,f264,f497,f309]) ).

fof(f142,plain,
    ! [X88] :
      ( hskp8
      | hskp4
      | ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f495,plain,
    ( spl0_56
    | spl0_48
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f211,f355,f309,f446,f491]) ).

fof(f211,plain,
    ! [X86,X87,X85] :
      ( ~ c1_1(X85)
      | ~ c0_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | ~ c1_1(X86)
      | c0_1(X86)
      | c3_1(X87)
      | c2_1(X87)
      | c0_1(X87) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X86,X87,X85] :
      ( ~ c1_1(X85)
      | ~ c0_1(X85)
      | c3_1(X85)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | ~ c1_1(X86)
      | c0_1(X86)
      | ~ ndr1_0
      | c3_1(X87)
      | c2_1(X87)
      | c0_1(X87)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f494,plain,
    ( spl0_56
    | spl0_39
    | ~ spl0_17
    | spl0_38 ),
    inference(avatar_split_clause,[],[f212,f404,f309,f408,f491]) ).

fof(f212,plain,
    ! [X82,X83,X84] :
      ( ~ c0_1(X82)
      | c3_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c1_1(X83)
      | c3_1(X84)
      | c2_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X82,X83,X84] :
      ( ~ c0_1(X82)
      | c3_1(X82)
      | c1_1(X82)
      | ~ ndr1_0
      | ~ c3_1(X83)
      | c2_1(X83)
      | c1_1(X83)
      | ~ ndr1_0
      | c3_1(X84)
      | c2_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f488,plain,
    ( spl0_54
    | ~ spl0_17
    | spl0_51
    | spl0_34 ),
    inference(avatar_split_clause,[],[f214,f386,f461,f309,f479]) ).

fof(f214,plain,
    ! [X78,X77] :
      ( hskp12
      | ~ c2_1(X77)
      | c3_1(X77)
      | c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X78,X77] :
      ( hskp12
      | ~ c2_1(X77)
      | c3_1(X77)
      | c0_1(X77)
      | ~ ndr1_0
      | ~ c3_1(X78)
      | c2_1(X78)
      | c0_1(X78)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f487,plain,
    ( spl0_54
    | spl0_49
    | ~ spl0_17
    | spl0_26 ),
    inference(avatar_split_clause,[],[f215,f350,f309,f452,f479]) ).

fof(f215,plain,
    ! [X76,X74,X75] :
      ( ~ c2_1(X74)
      | ~ c0_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | ~ c1_1(X75)
      | c0_1(X75)
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X76,X74,X75] :
      ( ~ c2_1(X74)
      | ~ c0_1(X74)
      | c3_1(X74)
      | ~ ndr1_0
      | ~ c2_1(X75)
      | ~ c1_1(X75)
      | c0_1(X75)
      | ~ ndr1_0
      | ~ c3_1(X76)
      | c2_1(X76)
      | c0_1(X76)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f486,plain,
    ( spl0_54
    | spl0_48
    | ~ spl0_17
    | spl0_55 ),
    inference(avatar_split_clause,[],[f216,f484,f309,f446,f479]) ).

fof(f216,plain,
    ! [X72,X73,X71] :
      ( ~ c2_1(X71)
      | ~ c1_1(X71)
      | c3_1(X71)
      | ~ ndr1_0
      | ~ c3_1(X72)
      | ~ c1_1(X72)
      | c0_1(X72)
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X72,X73,X71] :
      ( ~ c2_1(X71)
      | ~ c1_1(X71)
      | c3_1(X71)
      | ~ ndr1_0
      | ~ c3_1(X72)
      | ~ c1_1(X72)
      | c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | c2_1(X73)
      | c0_1(X73)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f482,plain,
    ( spl0_54
    | ~ spl0_17
    | spl0_31
    | spl0_13 ),
    inference(avatar_split_clause,[],[f217,f291,f371,f309,f479]) ).

fof(f217,plain,
    ! [X70,X69] :
      ( hskp9
      | ~ c1_1(X69)
      | ~ c0_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | c2_1(X70)
      | c0_1(X70) ),
    inference(duplicate_literal_removal,[],[f150]) ).

fof(f150,plain,
    ! [X70,X69] :
      ( hskp9
      | ~ c1_1(X69)
      | ~ c0_1(X69)
      | c2_1(X69)
      | ~ ndr1_0
      | ~ c3_1(X70)
      | c2_1(X70)
      | c0_1(X70)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f477,plain,
    ( spl0_52
    | spl0_35
    | ~ spl0_17
    | spl0_19 ),
    inference(avatar_split_clause,[],[f218,f318,f309,f392,f469]) ).

fof(f218,plain,
    ! [X65,X66,X67] :
      ( ~ c3_1(X65)
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X66)
      | ~ c2_1(X66)
      | c1_1(X66)
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67) ),
    inference(duplicate_literal_removal,[],[f152]) ).

fof(f152,plain,
    ! [X65,X66,X67] :
      ( ~ c3_1(X65)
      | ~ c2_1(X65)
      | ~ c0_1(X65)
      | ~ ndr1_0
      | ~ c3_1(X66)
      | ~ c2_1(X66)
      | c1_1(X66)
      | ~ ndr1_0
      | ~ c1_1(X67)
      | c3_1(X67)
      | c0_1(X67)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( spl0_52
    | ~ spl0_17
    | spl0_32
    | spl0_14 ),
    inference(avatar_split_clause,[],[f219,f295,f376,f309,f469]) ).

fof(f219,plain,
    ! [X63,X64] :
      ( hskp3
      | ~ c1_1(X63)
      | c3_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c3_1(X64)
      | c0_1(X64) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X63,X64] :
      ( hskp3
      | ~ c1_1(X63)
      | c3_1(X63)
      | c2_1(X63)
      | ~ ndr1_0
      | ~ c1_1(X64)
      | c3_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f466,plain,
    ( spl0_51
    | spl0_45
    | ~ spl0_17
    | spl0_27 ),
    inference(avatar_split_clause,[],[f221,f355,f309,f433,f461]) ).

fof(f221,plain,
    ! [X58,X59,X57] :
      ( ~ c1_1(X57)
      | ~ c0_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c2_1(X58)
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X58,X59,X57] :
      ( ~ c1_1(X57)
      | ~ c0_1(X57)
      | c3_1(X57)
      | ~ ndr1_0
      | ~ c3_1(X58)
      | ~ c1_1(X58)
      | c2_1(X58)
      | ~ ndr1_0
      | ~ c2_1(X59)
      | c3_1(X59)
      | c0_1(X59)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f459,plain,
    ( spl0_49
    | ~ spl0_17
    | spl0_50
    | spl0_25 ),
    inference(avatar_split_clause,[],[f223,f344,f456,f309,f452]) ).

fof(f223,plain,
    ! [X51,X52] :
      ( hskp14
      | ~ c3_1(X51)
      | ~ c0_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52) ),
    inference(duplicate_literal_removal,[],[f160]) ).

fof(f160,plain,
    ! [X51,X52] :
      ( hskp14
      | ~ c3_1(X51)
      | ~ c0_1(X51)
      | c1_1(X51)
      | ~ ndr1_0
      | ~ c2_1(X52)
      | ~ c1_1(X52)
      | c0_1(X52)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f458,plain,
    ( spl0_49
    | ~ spl0_17
    | spl0_50
    | spl0_29 ),
    inference(avatar_split_clause,[],[f224,f362,f456,f309,f452]) ).

fof(f224,plain,
    ! [X50,X49] :
      ( hskp13
      | ~ c3_1(X49)
      | ~ c0_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f161]) ).

fof(f161,plain,
    ! [X50,X49] :
      ( hskp13
      | ~ c3_1(X49)
      | ~ c0_1(X49)
      | c1_1(X49)
      | ~ ndr1_0
      | ~ c2_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f454,plain,
    ( spl0_49
    | spl0_32
    | ~ spl0_17
    | spl0_31 ),
    inference(avatar_split_clause,[],[f225,f371,f309,f376,f452]) ).

fof(f225,plain,
    ! [X48,X46,X47] :
      ( ~ c1_1(X46)
      | ~ c0_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | ~ c1_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X48,X46,X47] :
      ( ~ c1_1(X46)
      | ~ c0_1(X46)
      | c2_1(X46)
      | ~ ndr1_0
      | ~ c1_1(X47)
      | c3_1(X47)
      | c2_1(X47)
      | ~ ndr1_0
      | ~ c2_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( spl0_48
    | ~ spl0_17
    | spl0_35
    | spl0_5 ),
    inference(avatar_split_clause,[],[f226,f255,f392,f309,f446]) ).

fof(f226,plain,
    ! [X44,X45] :
      ( hskp8
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45) ),
    inference(duplicate_literal_removal,[],[f163]) ).

fof(f163,plain,
    ! [X44,X45] :
      ( hskp8
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c1_1(X44)
      | ~ ndr1_0
      | ~ c3_1(X45)
      | ~ c1_1(X45)
      | c0_1(X45)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f448,plain,
    ( ~ spl0_17
    | spl0_48
    | spl0_25
    | spl0_40 ),
    inference(avatar_split_clause,[],[f165,f411,f344,f446,f309]) ).

fof(f165,plain,
    ! [X42] :
      ( hskp18
      | hskp14
      | ~ c3_1(X42)
      | ~ c1_1(X42)
      | c0_1(X42)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_46
    | spl0_47
    | ~ spl0_17
    | spl0_23 ),
    inference(avatar_split_clause,[],[f227,f336,f309,f442,f438]) ).

fof(f227,plain,
    ! [X40,X41,X39] :
      ( ~ c3_1(X39)
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41) ),
    inference(duplicate_literal_removal,[],[f166]) ).

fof(f166,plain,
    ! [X40,X41,X39] :
      ( ~ c3_1(X39)
      | ~ c1_1(X39)
      | ~ c0_1(X39)
      | ~ ndr1_0
      | ~ c2_1(X40)
      | ~ c1_1(X40)
      | ~ c0_1(X40)
      | ~ ndr1_0
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f440,plain,
    ( ~ spl0_17
    | spl0_46
    | spl0_42
    | spl0_13 ),
    inference(avatar_split_clause,[],[f167,f291,f420,f438,f309]) ).

fof(f167,plain,
    ! [X38] :
      ( hskp9
      | hskp29
      | ~ c3_1(X38)
      | ~ c2_1(X38)
      | c0_1(X38)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f436,plain,
    ( spl0_43
    | ~ spl0_17
    | spl0_41
    | spl0_42 ),
    inference(avatar_split_clause,[],[f228,f420,f416,f309,f425]) ).

fof(f228,plain,
    ! [X36,X37] :
      ( hskp29
      | ~ c0_1(X36)
      | c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | c2_1(X37)
      | c1_1(X37) ),
    inference(duplicate_literal_removal,[],[f168]) ).

fof(f168,plain,
    ! [X36,X37] :
      ( hskp29
      | ~ c0_1(X36)
      | c2_1(X36)
      | c1_1(X36)
      | ~ ndr1_0
      | c3_1(X37)
      | c2_1(X37)
      | c1_1(X37)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( spl0_43
    | ~ spl0_17
    | spl0_45
    | spl0_16 ),
    inference(avatar_split_clause,[],[f229,f304,f433,f309,f425]) ).

fof(f229,plain,
    ! [X34,X35] :
      ( hskp19
      | ~ c3_1(X34)
      | ~ c1_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | c3_1(X35)
      | c2_1(X35)
      | c1_1(X35) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X34,X35] :
      ( hskp19
      | ~ c3_1(X34)
      | ~ c1_1(X34)
      | c2_1(X34)
      | ~ ndr1_0
      | c3_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f431,plain,
    ( ~ spl0_17
    | spl0_43
    | spl0_22
    | spl0_44 ),
    inference(avatar_split_clause,[],[f170,f428,f331,f425,f309]) ).

fof(f170,plain,
    ! [X33] :
      ( hskp2
      | hskp20
      | c3_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( spl0_41
    | ~ spl0_17
    | spl0_32
    | spl0_42 ),
    inference(avatar_split_clause,[],[f230,f420,f376,f309,f416]) ).

fof(f230,plain,
    ! [X31,X32] :
      ( hskp29
      | ~ c1_1(X31)
      | c3_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c2_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f171]) ).

fof(f171,plain,
    ! [X31,X32] :
      ( hskp29
      | ~ c1_1(X31)
      | c3_1(X31)
      | c2_1(X31)
      | ~ ndr1_0
      | ~ c0_1(X32)
      | c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f418,plain,
    ( ~ spl0_17
    | spl0_41
    | spl0_22
    | spl0_2 ),
    inference(avatar_split_clause,[],[f172,f242,f331,f416,f309]) ).

fof(f172,plain,
    ! [X30] :
      ( hskp1
      | hskp20
      | ~ c0_1(X30)
      | c2_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f414,plain,
    ( ~ spl0_17
    | spl0_39
    | spl0_12
    | spl0_40 ),
    inference(avatar_split_clause,[],[f173,f411,f286,f408,f309]) ).

fof(f173,plain,
    ! [X29] :
      ( hskp18
      | hskp21
      | ~ c3_1(X29)
      | c2_1(X29)
      | c1_1(X29)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f406,plain,
    ( spl0_38
    | ~ spl0_17
    | spl0_23
    | spl0_1 ),
    inference(avatar_split_clause,[],[f231,f238,f336,f309,f404]) ).

fof(f231,plain,
    ! [X28,X27] :
      ( hskp22
      | ~ c3_1(X27)
      | ~ c1_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | c3_1(X28)
      | c1_1(X28) ),
    inference(duplicate_literal_removal,[],[f174]) ).

fof(f174,plain,
    ! [X28,X27] :
      ( hskp22
      | ~ c3_1(X27)
      | ~ c1_1(X27)
      | ~ c0_1(X27)
      | ~ ndr1_0
      | ~ c0_1(X28)
      | c3_1(X28)
      | c1_1(X28)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( spl0_35
    | ~ spl0_17
    | spl0_23
    | spl0_4 ),
    inference(avatar_split_clause,[],[f232,f251,f336,f309,f392]) ).

fof(f232,plain,
    ! [X24,X25] :
      ( hskp28
      | ~ c3_1(X24)
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f176]) ).

fof(f176,plain,
    ! [X24,X25] :
      ( hskp28
      | ~ c3_1(X24)
      | ~ c1_1(X24)
      | ~ c0_1(X24)
      | ~ ndr1_0
      | ~ c3_1(X25)
      | ~ c2_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f390,plain,
    ( spl0_32
    | spl0_30
    | ~ spl0_17
    | spl0_26 ),
    inference(avatar_split_clause,[],[f233,f350,f309,f367,f376]) ).

fof(f233,plain,
    ! [X21,X22,X23] :
      ( ~ c2_1(X21)
      | ~ c0_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ c1_1(X23)
      | c3_1(X23)
      | c2_1(X23) ),
    inference(duplicate_literal_removal,[],[f177]) ).

fof(f177,plain,
    ! [X21,X22,X23] :
      ( ~ c2_1(X21)
      | ~ c0_1(X21)
      | c3_1(X21)
      | ~ ndr1_0
      | ~ c3_1(X22)
      | ~ c0_1(X22)
      | c2_1(X22)
      | ~ ndr1_0
      | ~ c1_1(X23)
      | c3_1(X23)
      | c2_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f389,plain,
    ( spl0_32
    | ~ spl0_17
    | spl0_23
    | spl0_34 ),
    inference(avatar_split_clause,[],[f234,f386,f336,f309,f376]) ).

fof(f234,plain,
    ! [X19,X20] :
      ( hskp12
      | ~ c3_1(X19)
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X20)
      | c3_1(X20)
      | c2_1(X20) ),
    inference(duplicate_literal_removal,[],[f178]) ).

fof(f178,plain,
    ! [X19,X20] :
      ( hskp12
      | ~ c3_1(X19)
      | ~ c1_1(X19)
      | ~ c0_1(X19)
      | ~ ndr1_0
      | ~ c1_1(X20)
      | c3_1(X20)
      | c2_1(X20)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f379,plain,
    ( ~ spl0_17
    | spl0_32
    | spl0_4
    | spl0_16 ),
    inference(avatar_split_clause,[],[f180,f304,f251,f376,f309]) ).

fof(f180,plain,
    ! [X17] :
      ( hskp19
      | hskp28
      | ~ c1_1(X17)
      | c3_1(X17)
      | c2_1(X17)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( spl0_31
    | ~ spl0_17
    | spl0_30
    | spl0_4 ),
    inference(avatar_split_clause,[],[f235,f251,f367,f309,f371]) ).

fof(f235,plain,
    ! [X14,X15] :
      ( hskp28
      | ~ c3_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c2_1(X15) ),
    inference(duplicate_literal_removal,[],[f182]) ).

fof(f182,plain,
    ! [X14,X15] :
      ( hskp28
      | ~ c3_1(X14)
      | ~ c0_1(X14)
      | c2_1(X14)
      | ~ ndr1_0
      | ~ c1_1(X15)
      | ~ c0_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f369,plain,
    ( ~ spl0_17
    | spl0_30
    | spl0_13
    | spl0_22 ),
    inference(avatar_split_clause,[],[f184,f331,f291,f367,f309]) ).

fof(f184,plain,
    ! [X12] :
      ( hskp20
      | hskp9
      | ~ c3_1(X12)
      | ~ c0_1(X12)
      | c2_1(X12)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f365,plain,
    ( ~ spl0_17
    | spl0_27
    | spl0_28
    | spl0_29 ),
    inference(avatar_split_clause,[],[f185,f362,f358,f355,f309]) ).

fof(f185,plain,
    ! [X11] :
      ( hskp13
      | hskp23
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c3_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f353,plain,
    ( spl0_26
    | ~ spl0_17
    | spl0_23
    | spl0_9 ),
    inference(avatar_split_clause,[],[f236,f272,f336,f309,f350]) ).

fof(f236,plain,
    ! [X10,X9] :
      ( hskp5
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10) ),
    inference(duplicate_literal_removal,[],[f186]) ).

fof(f186,plain,
    ! [X10,X9] :
      ( hskp5
      | ~ c3_1(X9)
      | ~ c1_1(X9)
      | ~ c0_1(X9)
      | ~ ndr1_0
      | ~ c2_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f334,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_15
    | spl0_22 ),
    inference(avatar_split_clause,[],[f191,f331,f300,f318,f309]) ).

fof(f191,plain,
    ! [X4] :
      ( hskp20
      | hskp30
      | ~ c3_1(X4)
      | ~ c2_1(X4)
      | ~ c0_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f329,plain,
    ( ~ spl0_17
    | spl0_19
    | spl0_8
    | spl0_3 ),
    inference(avatar_split_clause,[],[f192,f246,f268,f318,f309]) ).

fof(f192,plain,
    ! [X3] :
      ( hskp11
      | hskp26
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f316,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_11
    | spl0_16 ),
    inference(avatar_split_clause,[],[f194,f304,f282,f313,f309]) ).

fof(f194,plain,
    ! [X1] :
      ( hskp19
      | hskp27
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f315,plain,
    ( ~ spl0_17
    | spl0_18
    | spl0_12
    | spl0_3 ),
    inference(avatar_split_clause,[],[f195,f246,f286,f313,f309]) ).

fof(f195,plain,
    ! [X0] :
      ( hskp11
      | hskp21
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f307,plain,
    ( spl0_15
    | spl0_4
    | spl0_16 ),
    inference(avatar_split_clause,[],[f196,f304,f251,f300]) ).

fof(f196,plain,
    ( hskp19
    | hskp28
    | hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f298,plain,
    ( spl0_13
    | spl0_14
    | spl0_8 ),
    inference(avatar_split_clause,[],[f197,f268,f295,f291]) ).

fof(f197,plain,
    ( hskp26
    | hskp3
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f289,plain,
    ( spl0_11
    | spl0_12
    | spl0_4 ),
    inference(avatar_split_clause,[],[f198,f251,f286,f282]) ).

fof(f198,plain,
    ( hskp28
    | hskp21
    | hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f280,plain,
    ( spl0_7
    | spl0_10
    | spl0_9 ),
    inference(avatar_split_clause,[],[f199,f272,f277,f264]) ).

fof(f199,plain,
    ( hskp5
    | hskp24
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f275,plain,
    ( spl0_7
    | spl0_8
    | spl0_9 ),
    inference(avatar_split_clause,[],[f200,f272,f268,f264]) ).

fof(f200,plain,
    ( hskp5
    | hskp26
    | hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f262,plain,
    ( spl0_4
    | spl0_5
    | spl0_6 ),
    inference(avatar_split_clause,[],[f201,f259,f255,f251]) ).

fof(f201,plain,
    ( hskp10
    | hskp8
    | hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem    : SYN473+1 : TPTP v8.1.2. Released v2.1.0.
% 0.04/0.15  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t %d %s
% 0.15/0.36  % Computer : n006.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit   : 300
% 0.15/0.36  % WCLimit    : 300
% 0.15/0.36  % DateTime   : Tue Apr 30 17:17:20 EDT 2024
% 0.15/0.36  % CPUTime    : 
% 0.15/0.36  This is a FOF_THM_EPR_NEQ problem
% 0.15/0.36  Running vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule file --schedule_file /export/starexec/sandbox2/solver/bin/quickGreedyProduceRating_steal_pow3.txt --cores 8 -m 12000 -t 300 /export/starexec/sandbox2/tmp/tmp.RhMDmnX6au/Vampire---4.8_27443
% 0.60/0.78  % (27660)lrs+21_1:5_sil=2000:sos=on:urr=on:newcnf=on:slsq=on:i=83:slsql=off:bd=off:nm=2:ss=axioms:st=1.5:sp=const_min:gsp=on:rawr=on_0 on Vampire---4 for (2995ds/83Mi)
% 0.60/0.79  % (27655)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:i=78:ss=axioms:sgt=8_0 on Vampire---4 for (2995ds/78Mi)
% 0.60/0.79  % (27653)dis-1011_2:1_sil=2000:lsd=20:nwc=5.0:flr=on:mep=off:st=3.0:i=34:sd=1:ep=RS:ss=axioms_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.79  % (27656)ott+1011_1:1_sil=2000:urr=on:i=33:sd=1:kws=inv_frequency:ss=axioms:sup=off_0 on Vampire---4 for (2995ds/33Mi)
% 0.60/0.79  % (27654)lrs+1011_461:32768_sil=16000:irw=on:sp=frequency:lsd=20:fd=preordered:nwc=10.0:s2agt=32:alpa=false:cond=fast:s2a=on:i=51:s2at=3.0:awrs=decay:awrsf=691:bd=off:nm=20:fsr=off:amm=sco:uhcvi=on:rawr=on_0 on Vampire---4 for (2995ds/51Mi)
% 0.60/0.79  % (27659)lrs+1002_1:16_to=lpo:sil=32000:sp=unary_frequency:sos=on:i=45:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/45Mi)
% 0.60/0.79  % (27661)lrs-21_1:1_to=lpo:sil=2000:sp=frequency:sos=on:lma=on:i=56:sd=2:ss=axioms:ep=R_0 on Vampire---4 for (2995ds/56Mi)
% 0.60/0.80  % (27658)lrs+2_1:1_sil=16000:fde=none:sos=all:nwc=5.0:i=34:ep=RS:s2pl=on:lma=on:afp=100000_0 on Vampire---4 for (2995ds/34Mi)
% 0.60/0.81  % (27653)Instruction limit reached!
% 0.60/0.81  % (27653)------------------------------
% 0.60/0.81  % (27653)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.81  % (27653)Termination reason: Unknown
% 0.60/0.81  % (27653)Termination phase: Saturation
% 0.60/0.81  
% 0.60/0.81  % (27653)Memory used [KB]: 2052
% 0.60/0.81  % (27653)Time elapsed: 0.030 s
% 0.60/0.81  % (27653)Instructions burned: 34 (million)
% 0.60/0.81  % (27653)------------------------------
% 0.60/0.81  % (27653)------------------------------
% 0.60/0.81  % (27658)Instruction limit reached!
% 0.60/0.81  % (27658)------------------------------
% 0.60/0.81  % (27658)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (27658)Termination reason: Unknown
% 0.60/0.82  % (27658)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (27658)Memory used [KB]: 2110
% 0.60/0.82  % (27658)Time elapsed: 0.022 s
% 0.60/0.82  % (27658)Instructions burned: 35 (million)
% 0.60/0.82  % (27658)------------------------------
% 0.60/0.82  % (27658)------------------------------
% 0.60/0.82  % (27656)Instruction limit reached!
% 0.60/0.82  % (27656)------------------------------
% 0.60/0.82  % (27656)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.60/0.82  % (27656)Termination reason: Unknown
% 0.60/0.82  % (27656)Termination phase: Saturation
% 0.60/0.82  
% 0.60/0.82  % (27656)Memory used [KB]: 2198
% 0.60/0.82  % (27656)Time elapsed: 0.034 s
% 0.60/0.82  % (27656)Instructions burned: 33 (million)
% 0.60/0.82  % (27656)------------------------------
% 0.60/0.82  % (27656)------------------------------
% 0.66/0.82  % (27667)lrs+21_1:16_sil=2000:sp=occurrence:urr=on:flr=on:i=55:sd=1:nm=0:ins=3:ss=included:rawr=on:br=off_0 on Vampire---4 for (2995ds/55Mi)
% 0.66/0.82  % (27668)dis+3_25:4_sil=16000:sos=all:erd=off:i=50:s2at=4.0:bd=off:nm=60:sup=off:cond=on:av=off:ins=2:nwc=10.0:etr=on:to=lpo:s2agt=20:fd=off:bsr=unit_only:slsq=on:slsqr=28,19:awrs=converge:awrsf=500:tgt=ground:bs=unit_only_0 on Vampire---4 for (2995ds/50Mi)
% 0.66/0.82  % (27654)First to succeed.
% 0.66/0.82  % (27669)lrs+1010_1:2_sil=4000:tgt=ground:nwc=10.0:st=2.0:i=208:sd=1:bd=off:ss=axioms_0 on Vampire---4 for (2995ds/208Mi)
% 0.66/0.83  % (27660)Instruction limit reached!
% 0.66/0.83  % (27660)------------------------------
% 0.66/0.83  % (27660)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83  % (27660)Termination reason: Unknown
% 0.66/0.83  % (27660)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (27660)Memory used [KB]: 3395
% 0.66/0.83  % (27660)Time elapsed: 0.042 s
% 0.66/0.83  % (27660)Instructions burned: 83 (million)
% 0.66/0.83  % (27660)------------------------------
% 0.66/0.83  % (27660)------------------------------
% 0.66/0.83  % (27659)Instruction limit reached!
% 0.66/0.83  % (27659)------------------------------
% 0.66/0.83  % (27659)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83  % (27659)Termination reason: Unknown
% 0.66/0.83  % (27659)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (27659)Memory used [KB]: 2296
% 0.66/0.83  % (27659)Time elapsed: 0.043 s
% 0.66/0.83  % (27659)Instructions burned: 46 (million)
% 0.66/0.83  % (27659)------------------------------
% 0.66/0.83  % (27659)------------------------------
% 0.66/0.83  % (27671)lrs-1011_1:1_sil=4000:plsq=on:plsqr=32,1:sp=frequency:plsql=on:nwc=10.0:i=52:aac=none:afr=on:ss=axioms:er=filter:sgt=16:rawr=on:etr=on:lma=on_0 on Vampire---4 for (2995ds/52Mi)
% 0.66/0.83  % (27672)lrs-1010_1:1_to=lpo:sil=2000:sp=reverse_arity:sos=on:urr=ec_only:i=518:sd=2:bd=off:ss=axioms:sgt=16_0 on Vampire---4 for (2995ds/518Mi)
% 0.66/0.83  % (27661)Instruction limit reached!
% 0.66/0.83  % (27661)------------------------------
% 0.66/0.83  % (27661)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.83  % (27661)Termination reason: Unknown
% 0.66/0.83  % (27661)Termination phase: Saturation
% 0.66/0.83  
% 0.66/0.83  % (27661)Memory used [KB]: 2466
% 0.66/0.83  % (27661)Time elapsed: 0.049 s
% 0.66/0.83  % (27661)Instructions burned: 56 (million)
% 0.66/0.83  % (27661)------------------------------
% 0.66/0.83  % (27661)------------------------------
% 0.66/0.84  % (27654)Refutation found. Thanks to Tanya!
% 0.66/0.84  % SZS status Theorem for Vampire---4
% 0.66/0.84  % SZS output start Proof for Vampire---4
% See solution above
% 0.66/0.84  % (27654)------------------------------
% 0.66/0.84  % (27654)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.66/0.84  % (27654)Termination reason: Refutation
% 0.66/0.84  
% 0.66/0.84  % (27654)Memory used [KB]: 1931
% 0.66/0.84  % (27654)Time elapsed: 0.050 s
% 0.66/0.84  % (27654)Instructions burned: 65 (million)
% 0.66/0.84  % (27654)------------------------------
% 0.66/0.84  % (27654)------------------------------
% 0.66/0.84  % (27627)Success in time 0.46 s
% 0.66/0.84  % Vampire---4.8 exiting
%------------------------------------------------------------------------------