TSTP Solution File: SYN508+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SYN508+1 : TPTP v8.1.2. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n025.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue Apr 30 18:04:07 EDT 2024

% Result   : Theorem 0.14s 0.40s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  149
% Syntax   : Number of formulae    :  858 (   1 unt;   0 def)
%            Number of atoms       : 7573 (   0 equ)
%            Maximal formula atoms :  747 (   8 avg)
%            Number of connectives : 10205 (3490   ~;4861   |;1242   &)
%                                         ( 148 <=>; 464  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  119 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :  186 ( 185 usr; 182 prp; 0-1 aty)
%            Number of functors    :   32 (  32 usr;  32 con; 0-0 aty)
%            Number of variables   :  923 ( 923   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f3918,plain,
    $false,
    inference(avatar_sat_refutation,[],[f281,f290,f299,f312,f321,f326,f340,f341,f366,f374,f382,f386,f394,f395,f402,f419,f423,f434,f435,f444,f445,f449,f450,f451,f460,f464,f469,f470,f471,f476,f480,f489,f501,f506,f510,f511,f513,f514,f515,f516,f521,f525,f529,f530,f534,f535,f539,f543,f544,f546,f553,f557,f568,f573,f579,f584,f589,f595,f600,f605,f611,f616,f621,f627,f637,f659,f664,f669,f675,f680,f685,f686,f691,f696,f701,f707,f712,f717,f723,f728,f739,f749,f755,f760,f765,f771,f776,f781,f792,f797,f803,f808,f813,f835,f845,f851,f856,f861,f867,f872,f877,f883,f893,f899,f904,f909,f915,f920,f925,f931,f936,f941,f947,f952,f957,f963,f968,f973,f979,f984,f995,f1000,f1005,f1027,f1032,f1037,f1038,f1043,f1048,f1053,f1054,f1059,f1064,f1069,f1083,f1152,f1154,f1170,f1172,f1181,f1184,f1198,f1212,f1218,f1227,f1243,f1251,f1434,f1436,f1481,f1517,f1560,f1562,f1575,f1577,f1592,f1615,f1678,f1680,f1710,f1760,f1814,f1927,f1942,f1991,f1992,f1994,f2077,f2117,f2188,f2192,f2232,f2265,f2337,f2413,f2417,f2433,f2558,f2583,f2586,f2587,f2607,f2617,f2618,f2636,f2674,f2699,f2750,f2834,f2844,f2938,f2958,f3012,f3014,f3049,f3052,f3071,f3075,f3082,f3110,f3163,f3272,f3275,f3413,f3416,f3419,f3480,f3510,f3512,f3582,f3590,f3629,f3637,f3713,f3716,f3844,f3848,f3873,f3875,f3907,f3912]) ).

fof(f3912,plain,
    ( ~ spl0_46
    | ~ spl0_51
    | spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f3911]) ).

fof(f3911,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_51
    | spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f3898,f871]) ).

fof(f871,plain,
    ( ~ c0_1(a725)
    | spl0_124 ),
    inference(avatar_component_clause,[],[f869]) ).

fof(f869,plain,
    ( spl0_124
  <=> c0_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_124])]) ).

fof(f3898,plain,
    ( c0_1(a725)
    | ~ spl0_46
    | ~ spl0_51
    | ~ spl0_125 ),
    inference(resolution,[],[f3881,f876]) ).

fof(f876,plain,
    ( c2_1(a725)
    | ~ spl0_125 ),
    inference(avatar_component_clause,[],[f874]) ).

fof(f874,plain,
    ( spl0_125
  <=> c2_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_125])]) ).

fof(f3881,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56) )
    | ~ spl0_46
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f483,f459]) ).

fof(f459,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | ~ c2_1(X41) )
    | ~ spl0_46 ),
    inference(avatar_component_clause,[],[f458]) ).

fof(f458,plain,
    ( spl0_46
  <=> ! [X41] :
        ( ~ c3_1(X41)
        | c0_1(X41)
        | ~ c2_1(X41) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_46])]) ).

fof(f483,plain,
    ( ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | c3_1(X56) )
    | ~ spl0_51 ),
    inference(avatar_component_clause,[],[f482]) ).

fof(f482,plain,
    ( spl0_51
  <=> ! [X56] :
        ( ~ c2_1(X56)
        | c0_1(X56)
        | c3_1(X56) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_51])]) ).

fof(f3907,plain,
    ( ~ spl0_46
    | ~ spl0_51
    | spl0_154
    | ~ spl0_178 ),
    inference(avatar_contradiction_clause,[],[f3906]) ).

fof(f3906,plain,
    ( $false
    | ~ spl0_46
    | ~ spl0_51
    | spl0_154
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3893,f1031]) ).

fof(f1031,plain,
    ( ~ c0_1(a708)
    | spl0_154 ),
    inference(avatar_component_clause,[],[f1029]) ).

fof(f1029,plain,
    ( spl0_154
  <=> c0_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_154])]) ).

fof(f3893,plain,
    ( c0_1(a708)
    | ~ spl0_46
    | ~ spl0_51
    | ~ spl0_178 ),
    inference(resolution,[],[f3881,f2426]) ).

fof(f2426,plain,
    ( c2_1(a708)
    | ~ spl0_178 ),
    inference(avatar_component_clause,[],[f2424]) ).

fof(f2424,plain,
    ( spl0_178
  <=> c2_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_178])]) ).

fof(f3875,plain,
    ( ~ spl0_107
    | spl0_170
    | ~ spl0_46
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f3812,f773,f458,f2074,f778]) ).

fof(f778,plain,
    ( spl0_107
  <=> c2_1(a739) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_107])]) ).

fof(f2074,plain,
    ( spl0_170
  <=> c0_1(a739) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_170])]) ).

fof(f773,plain,
    ( spl0_106
  <=> c3_1(a739) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_106])]) ).

fof(f3812,plain,
    ( c0_1(a739)
    | ~ c2_1(a739)
    | ~ spl0_46
    | ~ spl0_106 ),
    inference(resolution,[],[f459,f775]) ).

fof(f775,plain,
    ( c3_1(a739)
    | ~ spl0_106 ),
    inference(avatar_component_clause,[],[f773]) ).

fof(f3873,plain,
    ( ~ spl0_50
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f3872]) ).

fof(f3872,plain,
    ( $false
    | ~ spl0_50
    | spl0_132
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f3871,f919]) ).

fof(f919,plain,
    ( c2_1(a719)
    | ~ spl0_133 ),
    inference(avatar_component_clause,[],[f917]) ).

fof(f917,plain,
    ( spl0_133
  <=> c2_1(a719) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_133])]) ).

fof(f3871,plain,
    ( ~ c2_1(a719)
    | ~ spl0_50
    | spl0_132
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f3858,f914]) ).

fof(f914,plain,
    ( ~ c0_1(a719)
    | spl0_132 ),
    inference(avatar_component_clause,[],[f912]) ).

fof(f912,plain,
    ( spl0_132
  <=> c0_1(a719) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_132])]) ).

fof(f3858,plain,
    ( c0_1(a719)
    | ~ c2_1(a719)
    | ~ spl0_50
    | ~ spl0_134 ),
    inference(resolution,[],[f479,f924]) ).

fof(f924,plain,
    ( c1_1(a719)
    | ~ spl0_134 ),
    inference(avatar_component_clause,[],[f922]) ).

fof(f922,plain,
    ( spl0_134
  <=> c1_1(a719) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_134])]) ).

fof(f479,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | c0_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_50 ),
    inference(avatar_component_clause,[],[f478]) ).

fof(f478,plain,
    ( spl0_50
  <=> ! [X55] :
        ( ~ c2_1(X55)
        | c0_1(X55)
        | ~ c1_1(X55) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_50])]) ).

fof(f3848,plain,
    ( ~ spl0_29
    | ~ spl0_53
    | spl0_144
    | ~ spl0_177 ),
    inference(avatar_contradiction_clause,[],[f3847]) ).

fof(f3847,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_53
    | spl0_144
    | ~ spl0_177 ),
    inference(subsumption_resolution,[],[f3839,f2421]) ).

fof(f2421,plain,
    ( c1_1(a713)
    | ~ spl0_177 ),
    inference(avatar_component_clause,[],[f2419]) ).

fof(f2419,plain,
    ( spl0_177
  <=> c1_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_177])]) ).

fof(f3839,plain,
    ( ~ c1_1(a713)
    | ~ spl0_29
    | ~ spl0_53
    | spl0_144 ),
    inference(resolution,[],[f3833,f978]) ).

fof(f978,plain,
    ( ~ c3_1(a713)
    | spl0_144 ),
    inference(avatar_component_clause,[],[f976]) ).

fof(f976,plain,
    ( spl0_144
  <=> c3_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_144])]) ).

fof(f3833,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_29
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f492,f377]) ).

fof(f377,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | c3_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_29 ),
    inference(avatar_component_clause,[],[f376]) ).

fof(f376,plain,
    ( spl0_29
  <=> ! [X2] :
        ( ~ c1_1(X2)
        | c3_1(X2)
        | ~ c0_1(X2) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_29])]) ).

fof(f492,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | c0_1(X59)
        | c3_1(X59) )
    | ~ spl0_53 ),
    inference(avatar_component_clause,[],[f491]) ).

fof(f491,plain,
    ( spl0_53
  <=> ! [X59] :
        ( ~ c1_1(X59)
        | c0_1(X59)
        | c3_1(X59) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_53])]) ).

fof(f3844,plain,
    ( spl0_50
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(avatar_split_clause,[],[f3834,f491,f458,f376,f478]) ).

fof(f3834,plain,
    ( ! [X0] :
        ( ~ c1_1(X0)
        | c0_1(X0)
        | ~ c2_1(X0) )
    | ~ spl0_29
    | ~ spl0_46
    | ~ spl0_53 ),
    inference(resolution,[],[f3833,f459]) ).

fof(f3716,plain,
    ( ~ spl0_165
    | spl0_141
    | ~ spl0_25
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f3610,f965,f360,f960,f1571]) ).

fof(f1571,plain,
    ( spl0_165
  <=> c1_1(a716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_165])]) ).

fof(f960,plain,
    ( spl0_141
  <=> c3_1(a716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_141])]) ).

fof(f360,plain,
    ( spl0_25
  <=> ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_25])]) ).

fof(f965,plain,
    ( spl0_142
  <=> c2_1(a716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_142])]) ).

fof(f3610,plain,
    ( c3_1(a716)
    | ~ c1_1(a716)
    | ~ spl0_25
    | ~ spl0_142 ),
    inference(resolution,[],[f361,f967]) ).

fof(f967,plain,
    ( c2_1(a716)
    | ~ spl0_142 ),
    inference(avatar_component_clause,[],[f965]) ).

fof(f361,plain,
    ( ! [X0] :
        ( ~ c2_1(X0)
        | c3_1(X0)
        | ~ c1_1(X0) )
    | ~ spl0_25 ),
    inference(avatar_component_clause,[],[f360]) ).

fof(f3713,plain,
    ( ~ spl0_44
    | spl0_148
    | ~ spl0_149
    | spl0_166 ),
    inference(avatar_contradiction_clause,[],[f3712]) ).

fof(f3712,plain,
    ( $false
    | ~ spl0_44
    | spl0_148
    | ~ spl0_149
    | spl0_166 ),
    inference(subsumption_resolution,[],[f3711,f1004]) ).

fof(f1004,plain,
    ( c0_1(a711)
    | ~ spl0_149 ),
    inference(avatar_component_clause,[],[f1002]) ).

fof(f1002,plain,
    ( spl0_149
  <=> c0_1(a711) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_149])]) ).

fof(f3711,plain,
    ( ~ c0_1(a711)
    | ~ spl0_44
    | spl0_148
    | spl0_166 ),
    inference(subsumption_resolution,[],[f3696,f999]) ).

fof(f999,plain,
    ( ~ c1_1(a711)
    | spl0_148 ),
    inference(avatar_component_clause,[],[f997]) ).

fof(f997,plain,
    ( spl0_148
  <=> c1_1(a711) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_148])]) ).

fof(f3696,plain,
    ( c1_1(a711)
    | ~ c0_1(a711)
    | ~ spl0_44
    | spl0_166 ),
    inference(resolution,[],[f448,f1821]) ).

fof(f1821,plain,
    ( ~ c2_1(a711)
    | spl0_166 ),
    inference(avatar_component_clause,[],[f1819]) ).

fof(f1819,plain,
    ( spl0_166
  <=> c2_1(a711) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_166])]) ).

fof(f448,plain,
    ( ! [X33] :
        ( c2_1(X33)
        | c1_1(X33)
        | ~ c0_1(X33) )
    | ~ spl0_44 ),
    inference(avatar_component_clause,[],[f447]) ).

fof(f447,plain,
    ( spl0_44
  <=> ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33)
        | c2_1(X33) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_44])]) ).

fof(f3637,plain,
    ( ~ spl0_166
    | spl0_147
    | ~ spl0_27
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f3540,f1002,f368,f992,f1819]) ).

fof(f992,plain,
    ( spl0_147
  <=> c3_1(a711) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_147])]) ).

fof(f368,plain,
    ( spl0_27
  <=> ! [X1] :
        ( ~ c2_1(X1)
        | c3_1(X1)
        | ~ c0_1(X1) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_27])]) ).

fof(f3540,plain,
    ( c3_1(a711)
    | ~ c2_1(a711)
    | ~ spl0_27
    | ~ spl0_149 ),
    inference(resolution,[],[f369,f1004]) ).

fof(f369,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | c3_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_27 ),
    inference(avatar_component_clause,[],[f368]) ).

fof(f3629,plain,
    ( ~ spl0_25
    | spl0_153
    | ~ spl0_155
    | ~ spl0_178 ),
    inference(avatar_contradiction_clause,[],[f3628]) ).

fof(f3628,plain,
    ( $false
    | ~ spl0_25
    | spl0_153
    | ~ spl0_155
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3627,f1036]) ).

fof(f1036,plain,
    ( c1_1(a708)
    | ~ spl0_155 ),
    inference(avatar_component_clause,[],[f1034]) ).

fof(f1034,plain,
    ( spl0_155
  <=> c1_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_155])]) ).

fof(f3627,plain,
    ( ~ c1_1(a708)
    | ~ spl0_25
    | spl0_153
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3609,f1026]) ).

fof(f1026,plain,
    ( ~ c3_1(a708)
    | spl0_153 ),
    inference(avatar_component_clause,[],[f1024]) ).

fof(f1024,plain,
    ( spl0_153
  <=> c3_1(a708) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_153])]) ).

fof(f3609,plain,
    ( c3_1(a708)
    | ~ c1_1(a708)
    | ~ spl0_25
    | ~ spl0_178 ),
    inference(resolution,[],[f361,f2426]) ).

fof(f3590,plain,
    ( ~ spl0_27
    | ~ spl0_51
    | spl0_78
    | ~ spl0_80 ),
    inference(avatar_contradiction_clause,[],[f3589]) ).

fof(f3589,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_51
    | spl0_78
    | ~ spl0_80 ),
    inference(subsumption_resolution,[],[f3580,f636]) ).

fof(f636,plain,
    ( c2_1(a780)
    | ~ spl0_80 ),
    inference(avatar_component_clause,[],[f634]) ).

fof(f634,plain,
    ( spl0_80
  <=> c2_1(a780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_80])]) ).

fof(f3580,plain,
    ( ~ c2_1(a780)
    | ~ spl0_27
    | ~ spl0_51
    | spl0_78 ),
    inference(resolution,[],[f3570,f626]) ).

fof(f626,plain,
    ( ~ c3_1(a780)
    | spl0_78 ),
    inference(avatar_component_clause,[],[f624]) ).

fof(f624,plain,
    ( spl0_78
  <=> c3_1(a780) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_78])]) ).

fof(f3570,plain,
    ( ! [X56] :
        ( c3_1(X56)
        | ~ c2_1(X56) )
    | ~ spl0_27
    | ~ spl0_51 ),
    inference(subsumption_resolution,[],[f483,f369]) ).

fof(f3582,plain,
    ( ~ spl0_27
    | ~ spl0_51
    | spl0_153
    | ~ spl0_178 ),
    inference(avatar_contradiction_clause,[],[f3581]) ).

fof(f3581,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_51
    | spl0_153
    | ~ spl0_178 ),
    inference(subsumption_resolution,[],[f3574,f2426]) ).

fof(f3574,plain,
    ( ~ c2_1(a708)
    | ~ spl0_27
    | ~ spl0_51
    | spl0_153 ),
    inference(resolution,[],[f3570,f1026]) ).

fof(f3512,plain,
    ( ~ spl0_44
    | ~ spl0_65
    | spl0_145
    | spl0_177 ),
    inference(avatar_contradiction_clause,[],[f3511]) ).

fof(f3511,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_65
    | spl0_145
    | spl0_177 ),
    inference(subsumption_resolution,[],[f3502,f2420]) ).

fof(f2420,plain,
    ( ~ c1_1(a713)
    | spl0_177 ),
    inference(avatar_component_clause,[],[f2419]) ).

fof(f3502,plain,
    ( c1_1(a713)
    | ~ spl0_44
    | ~ spl0_65
    | spl0_145 ),
    inference(resolution,[],[f3483,f983]) ).

fof(f983,plain,
    ( ~ c2_1(a713)
    | spl0_145 ),
    inference(avatar_component_clause,[],[f981]) ).

fof(f981,plain,
    ( spl0_145
  <=> c2_1(a713) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_145])]) ).

fof(f3483,plain,
    ( ! [X114] :
        ( c2_1(X114)
        | c1_1(X114) )
    | ~ spl0_44
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f556,f448]) ).

fof(f556,plain,
    ( ! [X114] :
        ( c2_1(X114)
        | c0_1(X114)
        | c1_1(X114) )
    | ~ spl0_65 ),
    inference(avatar_component_clause,[],[f555]) ).

fof(f555,plain,
    ( spl0_65
  <=> ! [X114] :
        ( c2_1(X114)
        | c0_1(X114)
        | c1_1(X114) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_65])]) ).

fof(f3510,plain,
    ( ~ spl0_44
    | ~ spl0_65
    | spl0_159
    | spl0_160 ),
    inference(avatar_contradiction_clause,[],[f3509]) ).

fof(f3509,plain,
    ( $false
    | ~ spl0_44
    | ~ spl0_65
    | spl0_159
    | spl0_160 ),
    inference(subsumption_resolution,[],[f3500,f1063]) ).

fof(f1063,plain,
    ( ~ c1_1(a706)
    | spl0_160 ),
    inference(avatar_component_clause,[],[f1061]) ).

fof(f1061,plain,
    ( spl0_160
  <=> c1_1(a706) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_160])]) ).

fof(f3500,plain,
    ( c1_1(a706)
    | ~ spl0_44
    | ~ spl0_65
    | spl0_159 ),
    inference(resolution,[],[f3483,f1058]) ).

fof(f1058,plain,
    ( ~ c2_1(a706)
    | spl0_159 ),
    inference(avatar_component_clause,[],[f1056]) ).

fof(f1056,plain,
    ( spl0_159
  <=> c2_1(a706) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_159])]) ).

fof(f3480,plain,
    ( ~ spl0_55
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f3479]) ).

fof(f3479,plain,
    ( $false
    | ~ spl0_55
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f3478,f684]) ).

fof(f684,plain,
    ( c0_1(a762)
    | ~ spl0_89 ),
    inference(avatar_component_clause,[],[f682]) ).

fof(f682,plain,
    ( spl0_89
  <=> c0_1(a762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_89])]) ).

fof(f3478,plain,
    ( ~ c0_1(a762)
    | ~ spl0_55
    | spl0_87
    | ~ spl0_88 ),
    inference(subsumption_resolution,[],[f3467,f674]) ).

fof(f674,plain,
    ( ~ c2_1(a762)
    | spl0_87 ),
    inference(avatar_component_clause,[],[f672]) ).

fof(f672,plain,
    ( spl0_87
  <=> c2_1(a762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_87])]) ).

fof(f3467,plain,
    ( c2_1(a762)
    | ~ c0_1(a762)
    | ~ spl0_55
    | ~ spl0_88 ),
    inference(resolution,[],[f500,f679]) ).

fof(f679,plain,
    ( c3_1(a762)
    | ~ spl0_88 ),
    inference(avatar_component_clause,[],[f677]) ).

fof(f677,plain,
    ( spl0_88
  <=> c3_1(a762) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_88])]) ).

fof(f500,plain,
    ( ! [X60] :
        ( ~ c3_1(X60)
        | c2_1(X60)
        | ~ c0_1(X60) )
    | ~ spl0_55 ),
    inference(avatar_component_clause,[],[f499]) ).

fof(f499,plain,
    ( spl0_55
  <=> ! [X60] :
        ( ~ c3_1(X60)
        | c2_1(X60)
        | ~ c0_1(X60) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_55])]) ).

fof(f3419,plain,
    ( ~ spl0_57
    | spl0_117
    | ~ spl0_119
    | spl0_174 ),
    inference(avatar_contradiction_clause,[],[f3418]) ).

fof(f3418,plain,
    ( $false
    | ~ spl0_57
    | spl0_117
    | ~ spl0_119
    | spl0_174 ),
    inference(subsumption_resolution,[],[f3417,f844]) ).

fof(f844,plain,
    ( c1_1(a730)
    | ~ spl0_119 ),
    inference(avatar_component_clause,[],[f842]) ).

fof(f842,plain,
    ( spl0_119
  <=> c1_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_119])]) ).

fof(f3417,plain,
    ( ~ c1_1(a730)
    | ~ spl0_57
    | spl0_117
    | spl0_174 ),
    inference(subsumption_resolution,[],[f3405,f2301]) ).

fof(f2301,plain,
    ( ~ c0_1(a730)
    | spl0_174 ),
    inference(avatar_component_clause,[],[f2299]) ).

fof(f2299,plain,
    ( spl0_174
  <=> c0_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_174])]) ).

fof(f3405,plain,
    ( c0_1(a730)
    | ~ c1_1(a730)
    | ~ spl0_57
    | spl0_117 ),
    inference(resolution,[],[f509,f834]) ).

fof(f834,plain,
    ( ~ c2_1(a730)
    | spl0_117 ),
    inference(avatar_component_clause,[],[f832]) ).

fof(f832,plain,
    ( spl0_117
  <=> c2_1(a730) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_117])]) ).

fof(f509,plain,
    ( ! [X64] :
        ( c2_1(X64)
        | c0_1(X64)
        | ~ c1_1(X64) )
    | ~ spl0_57 ),
    inference(avatar_component_clause,[],[f508]) ).

fof(f508,plain,
    ( spl0_57
  <=> ! [X64] :
        ( ~ c1_1(X64)
        | c0_1(X64)
        | c2_1(X64) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_57])]) ).

fof(f3416,plain,
    ( ~ spl0_57
    | spl0_120
    | spl0_121
    | ~ spl0_171 ),
    inference(avatar_contradiction_clause,[],[f3415]) ).

fof(f3415,plain,
    ( $false
    | ~ spl0_57
    | spl0_120
    | spl0_121
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f3414,f2184]) ).

fof(f2184,plain,
    ( c1_1(a727)
    | ~ spl0_171 ),
    inference(avatar_component_clause,[],[f2183]) ).

fof(f2183,plain,
    ( spl0_171
  <=> c1_1(a727) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_171])]) ).

fof(f3414,plain,
    ( ~ c1_1(a727)
    | ~ spl0_57
    | spl0_120
    | spl0_121 ),
    inference(subsumption_resolution,[],[f3404,f855]) ).

fof(f855,plain,
    ( ~ c0_1(a727)
    | spl0_121 ),
    inference(avatar_component_clause,[],[f853]) ).

fof(f853,plain,
    ( spl0_121
  <=> c0_1(a727) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_121])]) ).

fof(f3404,plain,
    ( c0_1(a727)
    | ~ c1_1(a727)
    | ~ spl0_57
    | spl0_120 ),
    inference(resolution,[],[f509,f850]) ).

fof(f850,plain,
    ( ~ c2_1(a727)
    | spl0_120 ),
    inference(avatar_component_clause,[],[f848]) ).

fof(f848,plain,
    ( spl0_120
  <=> c2_1(a727) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_120])]) ).

fof(f3413,plain,
    ( ~ spl0_57
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_contradiction_clause,[],[f3412]) ).

fof(f3412,plain,
    ( $false
    | ~ spl0_57
    | spl0_135
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3411,f940]) ).

fof(f940,plain,
    ( c1_1(a718)
    | ~ spl0_137 ),
    inference(avatar_component_clause,[],[f938]) ).

fof(f938,plain,
    ( spl0_137
  <=> c1_1(a718) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_137])]) ).

fof(f3411,plain,
    ( ~ c1_1(a718)
    | ~ spl0_57
    | spl0_135
    | spl0_136 ),
    inference(subsumption_resolution,[],[f3403,f935]) ).

fof(f935,plain,
    ( ~ c0_1(a718)
    | spl0_136 ),
    inference(avatar_component_clause,[],[f933]) ).

fof(f933,plain,
    ( spl0_136
  <=> c0_1(a718) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_136])]) ).

fof(f3403,plain,
    ( c0_1(a718)
    | ~ c1_1(a718)
    | ~ spl0_57
    | spl0_135 ),
    inference(resolution,[],[f509,f930]) ).

fof(f930,plain,
    ( ~ c2_1(a718)
    | spl0_135 ),
    inference(avatar_component_clause,[],[f928]) ).

fof(f928,plain,
    ( spl0_135
  <=> c2_1(a718) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_135])]) ).

fof(f3275,plain,
    ( ~ spl0_47
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_182 ),
    inference(avatar_contradiction_clause,[],[f3274]) ).

fof(f3274,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_73
    | ~ spl0_74
    | ~ spl0_182 ),
    inference(subsumption_resolution,[],[f3273,f604]) ).

fof(f604,plain,
    ( c1_1(a709)
    | ~ spl0_74 ),
    inference(avatar_component_clause,[],[f602]) ).

fof(f602,plain,
    ( spl0_74
  <=> c1_1(a709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_74])]) ).

fof(f3273,plain,
    ( ~ c1_1(a709)
    | ~ spl0_47
    | ~ spl0_73
    | ~ spl0_182 ),
    inference(subsumption_resolution,[],[f3265,f599]) ).

fof(f599,plain,
    ( c2_1(a709)
    | ~ spl0_73 ),
    inference(avatar_component_clause,[],[f597]) ).

fof(f597,plain,
    ( spl0_73
  <=> c2_1(a709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_73])]) ).

fof(f3265,plain,
    ( ~ c2_1(a709)
    | ~ c1_1(a709)
    | ~ spl0_47
    | ~ spl0_182 ),
    inference(resolution,[],[f463,f2452]) ).

fof(f2452,plain,
    ( c0_1(a709)
    | ~ spl0_182 ),
    inference(avatar_component_clause,[],[f2451]) ).

fof(f2451,plain,
    ( spl0_182
  <=> c0_1(a709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_182])]) ).

fof(f463,plain,
    ( ! [X42] :
        ( ~ c0_1(X42)
        | ~ c2_1(X42)
        | ~ c1_1(X42) )
    | ~ spl0_47 ),
    inference(avatar_component_clause,[],[f462]) ).

fof(f462,plain,
    ( spl0_47
  <=> ! [X42] :
        ( ~ c2_1(X42)
        | ~ c0_1(X42)
        | ~ c1_1(X42) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_47])]) ).

fof(f3272,plain,
    ( ~ spl0_47
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f3271]) ).

fof(f3271,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f3270,f615]) ).

fof(f615,plain,
    ( c1_1(a705)
    | ~ spl0_76 ),
    inference(avatar_component_clause,[],[f613]) ).

fof(f613,plain,
    ( spl0_76
  <=> c1_1(a705) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_76])]) ).

fof(f3270,plain,
    ( ~ c1_1(a705)
    | ~ spl0_47
    | ~ spl0_75
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f3264,f610]) ).

fof(f610,plain,
    ( c2_1(a705)
    | ~ spl0_75 ),
    inference(avatar_component_clause,[],[f608]) ).

fof(f608,plain,
    ( spl0_75
  <=> c2_1(a705) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_75])]) ).

fof(f3264,plain,
    ( ~ c2_1(a705)
    | ~ c1_1(a705)
    | ~ spl0_47
    | ~ spl0_77 ),
    inference(resolution,[],[f463,f620]) ).

fof(f620,plain,
    ( c0_1(a705)
    | ~ spl0_77 ),
    inference(avatar_component_clause,[],[f618]) ).

fof(f618,plain,
    ( spl0_77
  <=> c0_1(a705) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_77])]) ).

fof(f3163,plain,
    ( spl0_173
    | ~ spl0_38
    | spl0_156
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f3162,f1050,f1040,f417,f2267]) ).

fof(f2267,plain,
    ( spl0_173
  <=> c3_1(a707) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_173])]) ).

fof(f417,plain,
    ( spl0_38
  <=> ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_38])]) ).

fof(f1040,plain,
    ( spl0_156
  <=> c2_1(a707) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_156])]) ).

fof(f1050,plain,
    ( spl0_158
  <=> c0_1(a707) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_158])]) ).

fof(f3162,plain,
    ( c3_1(a707)
    | ~ spl0_38
    | spl0_156
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f3143,f1042]) ).

fof(f1042,plain,
    ( ~ c2_1(a707)
    | spl0_156 ),
    inference(avatar_component_clause,[],[f1040]) ).

fof(f3143,plain,
    ( c2_1(a707)
    | c3_1(a707)
    | ~ spl0_38
    | ~ spl0_158 ),
    inference(resolution,[],[f418,f1052]) ).

fof(f1052,plain,
    ( c0_1(a707)
    | ~ spl0_158 ),
    inference(avatar_component_clause,[],[f1050]) ).

fof(f418,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c2_1(X15)
        | c3_1(X15) )
    | ~ spl0_38 ),
    inference(avatar_component_clause,[],[f417]) ).

fof(f3110,plain,
    ( ~ spl0_169
    | ~ spl0_48
    | spl0_136
    | ~ spl0_137 ),
    inference(avatar_split_clause,[],[f3109,f938,f933,f467,f1957]) ).

fof(f1957,plain,
    ( spl0_169
  <=> c3_1(a718) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_169])]) ).

fof(f467,plain,
    ( spl0_48
  <=> ! [X47] :
        ( ~ c3_1(X47)
        | c0_1(X47)
        | ~ c1_1(X47) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_48])]) ).

fof(f3109,plain,
    ( ~ c3_1(a718)
    | ~ spl0_48
    | spl0_136
    | ~ spl0_137 ),
    inference(subsumption_resolution,[],[f3107,f935]) ).

fof(f3107,plain,
    ( c0_1(a718)
    | ~ c3_1(a718)
    | ~ spl0_48
    | ~ spl0_137 ),
    inference(resolution,[],[f940,f468]) ).

fof(f468,plain,
    ( ! [X47] :
        ( ~ c1_1(X47)
        | c0_1(X47)
        | ~ c3_1(X47) )
    | ~ spl0_48 ),
    inference(avatar_component_clause,[],[f467]) ).

fof(f3082,plain,
    ( spl0_121
    | ~ spl0_48
    | ~ spl0_122
    | ~ spl0_171 ),
    inference(avatar_split_clause,[],[f3081,f2183,f858,f467,f853]) ).

fof(f858,plain,
    ( spl0_122
  <=> c3_1(a727) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_122])]) ).

fof(f3081,plain,
    ( c0_1(a727)
    | ~ spl0_48
    | ~ spl0_122
    | ~ spl0_171 ),
    inference(subsumption_resolution,[],[f2771,f860]) ).

fof(f860,plain,
    ( c3_1(a727)
    | ~ spl0_122 ),
    inference(avatar_component_clause,[],[f858]) ).

fof(f2771,plain,
    ( c0_1(a727)
    | ~ c3_1(a727)
    | ~ spl0_48
    | ~ spl0_171 ),
    inference(resolution,[],[f2184,f468]) ).

fof(f3075,plain,
    ( ~ spl0_103
    | spl0_102
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(avatar_split_clause,[],[f2743,f762,f467,f752,f757]) ).

fof(f757,plain,
    ( spl0_103
  <=> c3_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_103])]) ).

fof(f752,plain,
    ( spl0_102
  <=> c0_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_102])]) ).

fof(f762,plain,
    ( spl0_104
  <=> c1_1(a741) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_104])]) ).

fof(f2743,plain,
    ( c0_1(a741)
    | ~ c3_1(a741)
    | ~ spl0_48
    | ~ spl0_104 ),
    inference(resolution,[],[f468,f764]) ).

fof(f764,plain,
    ( c1_1(a741)
    | ~ spl0_104 ),
    inference(avatar_component_clause,[],[f762]) ).

fof(f3071,plain,
    ( ~ spl0_48
    | ~ spl0_59
    | spl0_96
    | ~ spl0_97 ),
    inference(avatar_contradiction_clause,[],[f3070]) ).

fof(f3070,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_59
    | spl0_96
    | ~ spl0_97 ),
    inference(subsumption_resolution,[],[f3067,f722]) ).

fof(f722,plain,
    ( ~ c0_1(a748)
    | spl0_96 ),
    inference(avatar_component_clause,[],[f720]) ).

fof(f720,plain,
    ( spl0_96
  <=> c0_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_96])]) ).

fof(f3067,plain,
    ( c0_1(a748)
    | ~ spl0_48
    | ~ spl0_59
    | ~ spl0_97 ),
    inference(resolution,[],[f727,f2848]) ).

fof(f2848,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | c0_1(X82) )
    | ~ spl0_48
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f524,f468]) ).

fof(f524,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | c0_1(X82)
        | c1_1(X82) )
    | ~ spl0_59 ),
    inference(avatar_component_clause,[],[f523]) ).

fof(f523,plain,
    ( spl0_59
  <=> ! [X82] :
        ( ~ c3_1(X82)
        | c0_1(X82)
        | c1_1(X82) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_59])]) ).

fof(f727,plain,
    ( c3_1(a748)
    | ~ spl0_97 ),
    inference(avatar_component_clause,[],[f725]) ).

fof(f725,plain,
    ( spl0_97
  <=> c3_1(a748) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_97])]) ).

fof(f3052,plain,
    ( ~ spl0_62
    | ~ spl0_65
    | spl0_109
    | spl0_110 ),
    inference(avatar_contradiction_clause,[],[f3051]) ).

fof(f3051,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_65
    | spl0_109
    | spl0_110 ),
    inference(subsumption_resolution,[],[f3040,f796]) ).

fof(f796,plain,
    ( ~ c0_1(a734)
    | spl0_110 ),
    inference(avatar_component_clause,[],[f794]) ).

fof(f794,plain,
    ( spl0_110
  <=> c0_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_110])]) ).

fof(f3040,plain,
    ( c0_1(a734)
    | ~ spl0_62
    | ~ spl0_65
    | spl0_109 ),
    inference(resolution,[],[f3025,f791]) ).

fof(f791,plain,
    ( ~ c1_1(a734)
    | spl0_109 ),
    inference(avatar_component_clause,[],[f789]) ).

fof(f789,plain,
    ( spl0_109
  <=> c1_1(a734) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_109])]) ).

fof(f3025,plain,
    ( ! [X114] :
        ( c1_1(X114)
        | c0_1(X114) )
    | ~ spl0_62
    | ~ spl0_65 ),
    inference(subsumption_resolution,[],[f556,f538]) ).

fof(f538,plain,
    ( ! [X92] :
        ( ~ c2_1(X92)
        | c0_1(X92)
        | c1_1(X92) )
    | ~ spl0_62 ),
    inference(avatar_component_clause,[],[f537]) ).

fof(f537,plain,
    ( spl0_62
  <=> ! [X92] :
        ( ~ c2_1(X92)
        | c0_1(X92)
        | c1_1(X92) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_62])]) ).

fof(f3049,plain,
    ( ~ spl0_62
    | ~ spl0_65
    | spl0_160
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3048]) ).

fof(f3048,plain,
    ( $false
    | ~ spl0_62
    | ~ spl0_65
    | spl0_160
    | spl0_161 ),
    inference(subsumption_resolution,[],[f3029,f1068]) ).

fof(f1068,plain,
    ( ~ c0_1(a706)
    | spl0_161 ),
    inference(avatar_component_clause,[],[f1066]) ).

fof(f1066,plain,
    ( spl0_161
  <=> c0_1(a706) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_161])]) ).

fof(f3029,plain,
    ( c0_1(a706)
    | ~ spl0_62
    | ~ spl0_65
    | spl0_160 ),
    inference(resolution,[],[f3025,f1063]) ).

fof(f3014,plain,
    ( ~ spl0_48
    | ~ spl0_59
    | ~ spl0_64
    | spl0_109
    | spl0_110 ),
    inference(avatar_contradiction_clause,[],[f3013]) ).

fof(f3013,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_59
    | ~ spl0_64
    | spl0_109
    | spl0_110 ),
    inference(subsumption_resolution,[],[f3003,f796]) ).

fof(f3003,plain,
    ( c0_1(a734)
    | ~ spl0_48
    | ~ spl0_59
    | ~ spl0_64
    | spl0_109 ),
    inference(resolution,[],[f2988,f791]) ).

fof(f2988,plain,
    ( ! [X105] :
        ( c1_1(X105)
        | c0_1(X105) )
    | ~ spl0_48
    | ~ spl0_59
    | ~ spl0_64 ),
    inference(subsumption_resolution,[],[f549,f2848]) ).

fof(f549,plain,
    ( ! [X105] :
        ( c3_1(X105)
        | c0_1(X105)
        | c1_1(X105) )
    | ~ spl0_64 ),
    inference(avatar_component_clause,[],[f548]) ).

fof(f548,plain,
    ( spl0_64
  <=> ! [X105] :
        ( c3_1(X105)
        | c0_1(X105)
        | c1_1(X105) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_64])]) ).

fof(f3012,plain,
    ( ~ spl0_48
    | ~ spl0_59
    | ~ spl0_64
    | spl0_160
    | spl0_161 ),
    inference(avatar_contradiction_clause,[],[f3011]) ).

fof(f3011,plain,
    ( $false
    | ~ spl0_48
    | ~ spl0_59
    | ~ spl0_64
    | spl0_160
    | spl0_161 ),
    inference(subsumption_resolution,[],[f2992,f1068]) ).

fof(f2992,plain,
    ( c0_1(a706)
    | ~ spl0_48
    | ~ spl0_59
    | ~ spl0_64
    | spl0_160 ),
    inference(resolution,[],[f2988,f1063]) ).

fof(f2958,plain,
    ( ~ spl0_32
    | ~ spl0_57
    | ~ spl0_63
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f2957]) ).

fof(f2957,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_57
    | ~ spl0_63
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f2951,f594]) ).

fof(f594,plain,
    ( c3_1(a709)
    | ~ spl0_72 ),
    inference(avatar_component_clause,[],[f592]) ).

fof(f592,plain,
    ( spl0_72
  <=> c3_1(a709) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_72])]) ).

fof(f2951,plain,
    ( ~ c3_1(a709)
    | ~ spl0_32
    | ~ spl0_57
    | ~ spl0_63
    | ~ spl0_74 ),
    inference(resolution,[],[f2940,f604]) ).

fof(f2940,plain,
    ( ! [X93] :
        ( ~ c1_1(X93)
        | ~ c3_1(X93) )
    | ~ spl0_32
    | ~ spl0_57
    | ~ spl0_63 ),
    inference(subsumption_resolution,[],[f542,f2595]) ).

fof(f2595,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | c2_1(X64) )
    | ~ spl0_32
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f509,f389]) ).

fof(f389,plain,
    ( ! [X5] :
        ( ~ c0_1(X5)
        | c2_1(X5)
        | ~ c1_1(X5) )
    | ~ spl0_32 ),
    inference(avatar_component_clause,[],[f388]) ).

fof(f388,plain,
    ( spl0_32
  <=> ! [X5] :
        ( ~ c1_1(X5)
        | c2_1(X5)
        | ~ c0_1(X5) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_32])]) ).

fof(f542,plain,
    ( ! [X93] :
        ( ~ c3_1(X93)
        | ~ c1_1(X93)
        | ~ c2_1(X93) )
    | ~ spl0_63 ),
    inference(avatar_component_clause,[],[f541]) ).

fof(f541,plain,
    ( spl0_63
  <=> ! [X93] :
        ( ~ c3_1(X93)
        | ~ c1_1(X93)
        | ~ c2_1(X93) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_63])]) ).

fof(f2938,plain,
    ( ~ spl0_62
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f2937]) ).

fof(f2937,plain,
    ( $false
    | ~ spl0_62
    | spl0_123
    | spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2936,f866]) ).

fof(f866,plain,
    ( ~ c1_1(a725)
    | spl0_123 ),
    inference(avatar_component_clause,[],[f864]) ).

fof(f864,plain,
    ( spl0_123
  <=> c1_1(a725) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_123])]) ).

fof(f2936,plain,
    ( c1_1(a725)
    | ~ spl0_62
    | spl0_124
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f2917,f871]) ).

fof(f2917,plain,
    ( c0_1(a725)
    | c1_1(a725)
    | ~ spl0_62
    | ~ spl0_125 ),
    inference(resolution,[],[f538,f876]) ).

fof(f2844,plain,
    ( spl0_136
    | ~ spl0_58
    | spl0_135
    | spl0_169 ),
    inference(avatar_split_clause,[],[f2843,f1957,f928,f518,f933]) ).

fof(f518,plain,
    ( spl0_58
  <=> ! [X78] :
        ( c3_1(X78)
        | c0_1(X78)
        | c2_1(X78) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_58])]) ).

fof(f2843,plain,
    ( c0_1(a718)
    | ~ spl0_58
    | spl0_135
    | spl0_169 ),
    inference(subsumption_resolution,[],[f2821,f930]) ).

fof(f2821,plain,
    ( c0_1(a718)
    | c2_1(a718)
    | ~ spl0_58
    | spl0_169 ),
    inference(resolution,[],[f519,f1958]) ).

fof(f1958,plain,
    ( ~ c3_1(a718)
    | spl0_169 ),
    inference(avatar_component_clause,[],[f1957]) ).

fof(f519,plain,
    ( ! [X78] :
        ( c3_1(X78)
        | c0_1(X78)
        | c2_1(X78) )
    | ~ spl0_58 ),
    inference(avatar_component_clause,[],[f518]) ).

fof(f2834,plain,
    ( spl0_178
    | ~ spl0_58
    | spl0_153
    | spl0_154 ),
    inference(avatar_split_clause,[],[f2833,f1029,f1024,f518,f2424]) ).

fof(f2833,plain,
    ( c2_1(a708)
    | ~ spl0_58
    | spl0_153
    | spl0_154 ),
    inference(subsumption_resolution,[],[f2816,f1031]) ).

fof(f2816,plain,
    ( c0_1(a708)
    | c2_1(a708)
    | ~ spl0_58
    | spl0_153 ),
    inference(resolution,[],[f519,f1026]) ).

fof(f2750,plain,
    ( spl0_182
    | ~ spl0_48
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(avatar_split_clause,[],[f2749,f602,f592,f467,f2451]) ).

fof(f2749,plain,
    ( c0_1(a709)
    | ~ spl0_48
    | ~ spl0_72
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f2746,f594]) ).

fof(f2746,plain,
    ( c0_1(a709)
    | ~ c3_1(a709)
    | ~ spl0_48
    | ~ spl0_74 ),
    inference(resolution,[],[f468,f604]) ).

fof(f2699,plain,
    ( spl0_165
    | ~ spl0_41
    | spl0_141
    | ~ spl0_142 ),
    inference(avatar_split_clause,[],[f2698,f965,f960,f432,f1571]) ).

fof(f432,plain,
    ( spl0_41
  <=> ! [X23] :
        ( ~ c2_1(X23)
        | c1_1(X23)
        | c3_1(X23) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_41])]) ).

fof(f2698,plain,
    ( c1_1(a716)
    | ~ spl0_41
    | spl0_141
    | ~ spl0_142 ),
    inference(subsumption_resolution,[],[f2650,f962]) ).

fof(f962,plain,
    ( ~ c3_1(a716)
    | spl0_141 ),
    inference(avatar_component_clause,[],[f960]) ).

fof(f2650,plain,
    ( c1_1(a716)
    | c3_1(a716)
    | ~ spl0_41
    | ~ spl0_142 ),
    inference(resolution,[],[f433,f967]) ).

fof(f433,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | c1_1(X23)
        | c3_1(X23) )
    | ~ spl0_41 ),
    inference(avatar_component_clause,[],[f432]) ).

fof(f2674,plain,
    ( ~ spl0_41
    | spl0_147
    | spl0_148
    | ~ spl0_166 ),
    inference(avatar_contradiction_clause,[],[f2673]) ).

fof(f2673,plain,
    ( $false
    | ~ spl0_41
    | spl0_147
    | spl0_148
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f2672,f994]) ).

fof(f994,plain,
    ( ~ c3_1(a711)
    | spl0_147 ),
    inference(avatar_component_clause,[],[f992]) ).

fof(f2672,plain,
    ( c3_1(a711)
    | ~ spl0_41
    | spl0_148
    | ~ spl0_166 ),
    inference(subsumption_resolution,[],[f2648,f999]) ).

fof(f2648,plain,
    ( c1_1(a711)
    | c3_1(a711)
    | ~ spl0_41
    | ~ spl0_166 ),
    inference(resolution,[],[f433,f1820]) ).

fof(f1820,plain,
    ( c2_1(a711)
    | ~ spl0_166 ),
    inference(avatar_component_clause,[],[f1819]) ).

fof(f2636,plain,
    ( ~ spl0_27
    | spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f2635]) ).

fof(f2635,plain,
    ( $false
    | ~ spl0_27
    | spl0_141
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2634,f967]) ).

fof(f2634,plain,
    ( ~ c2_1(a716)
    | ~ spl0_27
    | spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f2621,f962]) ).

fof(f2621,plain,
    ( c3_1(a716)
    | ~ c2_1(a716)
    | ~ spl0_27
    | ~ spl0_143 ),
    inference(resolution,[],[f369,f972]) ).

fof(f972,plain,
    ( c0_1(a716)
    | ~ spl0_143 ),
    inference(avatar_component_clause,[],[f970]) ).

fof(f970,plain,
    ( spl0_143
  <=> c0_1(a716) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_143])]) ).

fof(f2618,plain,
    ( ~ spl0_174
    | ~ spl0_32
    | ~ spl0_44
    | spl0_117 ),
    inference(avatar_split_clause,[],[f2615,f832,f447,f388,f2299]) ).

fof(f2615,plain,
    ( ~ c0_1(a730)
    | ~ spl0_32
    | ~ spl0_44
    | spl0_117 ),
    inference(resolution,[],[f2596,f834]) ).

fof(f2596,plain,
    ( ! [X33] :
        ( c2_1(X33)
        | ~ c0_1(X33) )
    | ~ spl0_32
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f448,f389]) ).

fof(f2617,plain,
    ( ~ spl0_32
    | ~ spl0_44
    | spl0_139
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f2616]) ).

fof(f2616,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_44
    | spl0_139
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2613,f956]) ).

fof(f956,plain,
    ( c0_1(a717)
    | ~ spl0_140 ),
    inference(avatar_component_clause,[],[f954]) ).

fof(f954,plain,
    ( spl0_140
  <=> c0_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_140])]) ).

fof(f2613,plain,
    ( ~ c0_1(a717)
    | ~ spl0_32
    | ~ spl0_44
    | spl0_139 ),
    inference(resolution,[],[f2596,f951]) ).

fof(f951,plain,
    ( ~ c2_1(a717)
    | spl0_139 ),
    inference(avatar_component_clause,[],[f949]) ).

fof(f949,plain,
    ( spl0_139
  <=> c2_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_139])]) ).

fof(f2607,plain,
    ( spl0_178
    | ~ spl0_32
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(avatar_split_clause,[],[f2602,f1034,f508,f388,f2424]) ).

fof(f2602,plain,
    ( c2_1(a708)
    | ~ spl0_32
    | ~ spl0_57
    | ~ spl0_155 ),
    inference(resolution,[],[f2595,f1036]) ).

fof(f2587,plain,
    ( spl0_120
    | spl0_171
    | ~ spl0_43
    | ~ spl0_122 ),
    inference(avatar_split_clause,[],[f2565,f858,f441,f2183,f848]) ).

fof(f441,plain,
    ( spl0_43
  <=> ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | c2_1(X28) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_43])]) ).

fof(f2565,plain,
    ( c1_1(a727)
    | c2_1(a727)
    | ~ spl0_43
    | ~ spl0_122 ),
    inference(resolution,[],[f860,f442]) ).

fof(f442,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28)
        | c2_1(X28) )
    | ~ spl0_43 ),
    inference(avatar_component_clause,[],[f441]) ).

fof(f2586,plain,
    ( ~ spl0_32
    | ~ spl0_47
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(avatar_contradiction_clause,[],[f2585]) ).

fof(f2585,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_47
    | ~ spl0_67
    | ~ spl0_68 ),
    inference(subsumption_resolution,[],[f2579,f572]) ).

fof(f572,plain,
    ( c0_1(a723)
    | ~ spl0_68 ),
    inference(avatar_component_clause,[],[f570]) ).

fof(f570,plain,
    ( spl0_68
  <=> c0_1(a723) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_68])]) ).

fof(f2579,plain,
    ( ~ c0_1(a723)
    | ~ spl0_32
    | ~ spl0_47
    | ~ spl0_67 ),
    inference(resolution,[],[f2551,f567]) ).

fof(f567,plain,
    ( c1_1(a723)
    | ~ spl0_67 ),
    inference(avatar_component_clause,[],[f565]) ).

fof(f565,plain,
    ( spl0_67
  <=> c1_1(a723) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_67])]) ).

fof(f2551,plain,
    ( ! [X42] :
        ( ~ c1_1(X42)
        | ~ c0_1(X42) )
    | ~ spl0_32
    | ~ spl0_47 ),
    inference(subsumption_resolution,[],[f463,f389]) ).

fof(f2583,plain,
    ( ~ spl0_32
    | ~ spl0_47
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f2582]) ).

fof(f2582,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_47
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f2577,f620]) ).

fof(f2577,plain,
    ( ~ c0_1(a705)
    | ~ spl0_32
    | ~ spl0_47
    | ~ spl0_76 ),
    inference(resolution,[],[f2551,f615]) ).

fof(f2558,plain,
    ( spl0_157
    | ~ spl0_43
    | spl0_156
    | ~ spl0_173 ),
    inference(avatar_split_clause,[],[f2557,f2267,f1040,f441,f1045]) ).

fof(f1045,plain,
    ( spl0_157
  <=> c1_1(a707) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_157])]) ).

fof(f2557,plain,
    ( c1_1(a707)
    | ~ spl0_43
    | spl0_156
    | ~ spl0_173 ),
    inference(subsumption_resolution,[],[f2552,f1042]) ).

fof(f2552,plain,
    ( c1_1(a707)
    | c2_1(a707)
    | ~ spl0_43
    | ~ spl0_173 ),
    inference(resolution,[],[f2268,f442]) ).

fof(f2268,plain,
    ( c3_1(a707)
    | ~ spl0_173 ),
    inference(avatar_component_clause,[],[f2267]) ).

fof(f2433,plain,
    ( ~ spl0_107
    | spl0_105
    | ~ spl0_39
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f2203,f773,f421,f768,f778]) ).

fof(f768,plain,
    ( spl0_105
  <=> c1_1(a739) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_105])]) ).

fof(f421,plain,
    ( spl0_39
  <=> ! [X16] :
        ( ~ c3_1(X16)
        | c1_1(X16)
        | ~ c2_1(X16) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_39])]) ).

fof(f2203,plain,
    ( c1_1(a739)
    | ~ c2_1(a739)
    | ~ spl0_39
    | ~ spl0_106 ),
    inference(resolution,[],[f422,f775]) ).

fof(f422,plain,
    ( ! [X16] :
        ( ~ c3_1(X16)
        | c1_1(X16)
        | ~ c2_1(X16) )
    | ~ spl0_39 ),
    inference(avatar_component_clause,[],[f421]) ).

fof(f2417,plain,
    ( ~ spl0_113
    | spl0_111
    | ~ spl0_44
    | spl0_163 ),
    inference(avatar_split_clause,[],[f2362,f1149,f447,f800,f810]) ).

fof(f810,plain,
    ( spl0_113
  <=> c0_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_113])]) ).

fof(f800,plain,
    ( spl0_111
  <=> c1_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_111])]) ).

fof(f1149,plain,
    ( spl0_163
  <=> c2_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_163])]) ).

fof(f2362,plain,
    ( c1_1(a732)
    | ~ c0_1(a732)
    | ~ spl0_44
    | spl0_163 ),
    inference(resolution,[],[f1151,f448]) ).

fof(f1151,plain,
    ( ~ c2_1(a732)
    | spl0_163 ),
    inference(avatar_component_clause,[],[f1149]) ).

fof(f2413,plain,
    ( ~ spl0_29
    | ~ spl0_53
    | spl0_99
    | ~ spl0_101 ),
    inference(avatar_contradiction_clause,[],[f2412]) ).

fof(f2412,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_53
    | spl0_99
    | ~ spl0_101 ),
    inference(subsumption_resolution,[],[f2404,f738]) ).

fof(f738,plain,
    ( ~ c3_1(a747)
    | spl0_99 ),
    inference(avatar_component_clause,[],[f736]) ).

fof(f736,plain,
    ( spl0_99
  <=> c3_1(a747) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_99])]) ).

fof(f2404,plain,
    ( c3_1(a747)
    | ~ spl0_29
    | ~ spl0_53
    | ~ spl0_101 ),
    inference(resolution,[],[f2393,f748]) ).

fof(f748,plain,
    ( c1_1(a747)
    | ~ spl0_101 ),
    inference(avatar_component_clause,[],[f746]) ).

fof(f746,plain,
    ( spl0_101
  <=> c1_1(a747) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_101])]) ).

fof(f2393,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | c3_1(X59) )
    | ~ spl0_29
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f492,f377]) ).

fof(f2337,plain,
    ( ~ spl0_47
    | ~ spl0_50
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f2336]) ).

fof(f2336,plain,
    ( $false
    | ~ spl0_47
    | ~ spl0_50
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f2326,f599]) ).

fof(f2326,plain,
    ( ~ c2_1(a709)
    | ~ spl0_47
    | ~ spl0_50
    | ~ spl0_74 ),
    inference(resolution,[],[f2314,f604]) ).

fof(f2314,plain,
    ( ! [X55] :
        ( ~ c1_1(X55)
        | ~ c2_1(X55) )
    | ~ spl0_47
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f479,f463]) ).

fof(f2265,plain,
    ( spl0_157
    | ~ spl0_44
    | spl0_156
    | ~ spl0_158 ),
    inference(avatar_split_clause,[],[f2264,f1050,f1040,f447,f1045]) ).

fof(f2264,plain,
    ( c1_1(a707)
    | ~ spl0_44
    | spl0_156
    | ~ spl0_158 ),
    inference(subsumption_resolution,[],[f2248,f1052]) ).

fof(f2248,plain,
    ( c1_1(a707)
    | ~ c0_1(a707)
    | ~ spl0_44
    | spl0_156 ),
    inference(resolution,[],[f448,f1042]) ).

fof(f2232,plain,
    ( ~ spl0_25
    | ~ spl0_31
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(avatar_contradiction_clause,[],[f2231]) ).

fof(f2231,plain,
    ( $false
    | ~ spl0_25
    | ~ spl0_31
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f2230,f610]) ).

fof(f2230,plain,
    ( ~ c2_1(a705)
    | ~ spl0_25
    | ~ spl0_31
    | ~ spl0_75
    | ~ spl0_76
    | ~ spl0_77 ),
    inference(subsumption_resolution,[],[f2229,f620]) ).

fof(f2229,plain,
    ( ~ c0_1(a705)
    | ~ c2_1(a705)
    | ~ spl0_25
    | ~ spl0_31
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(resolution,[],[f2135,f385]) ).

fof(f385,plain,
    ( ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_31 ),
    inference(avatar_component_clause,[],[f384]) ).

fof(f384,plain,
    ( spl0_31
  <=> ! [X3] :
        ( ~ c3_1(X3)
        | ~ c0_1(X3)
        | ~ c2_1(X3) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_31])]) ).

fof(f2135,plain,
    ( c3_1(a705)
    | ~ spl0_25
    | ~ spl0_75
    | ~ spl0_76 ),
    inference(subsumption_resolution,[],[f2130,f615]) ).

fof(f2130,plain,
    ( c3_1(a705)
    | ~ c1_1(a705)
    | ~ spl0_25
    | ~ spl0_75 ),
    inference(resolution,[],[f361,f610]) ).

fof(f2192,plain,
    ( spl0_166
    | ~ spl0_38
    | spl0_147
    | ~ spl0_149 ),
    inference(avatar_split_clause,[],[f2191,f1002,f992,f417,f1819]) ).

fof(f2191,plain,
    ( c2_1(a711)
    | ~ spl0_38
    | spl0_147
    | ~ spl0_149 ),
    inference(subsumption_resolution,[],[f2155,f994]) ).

fof(f2155,plain,
    ( c2_1(a711)
    | c3_1(a711)
    | ~ spl0_38
    | ~ spl0_149 ),
    inference(resolution,[],[f418,f1004]) ).

fof(f2188,plain,
    ( spl0_139
    | ~ spl0_38
    | spl0_138
    | ~ spl0_140 ),
    inference(avatar_split_clause,[],[f2187,f954,f944,f417,f949]) ).

fof(f944,plain,
    ( spl0_138
  <=> c3_1(a717) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_138])]) ).

fof(f2187,plain,
    ( c2_1(a717)
    | ~ spl0_38
    | spl0_138
    | ~ spl0_140 ),
    inference(subsumption_resolution,[],[f2158,f946]) ).

fof(f946,plain,
    ( ~ c3_1(a717)
    | spl0_138 ),
    inference(avatar_component_clause,[],[f944]) ).

fof(f2158,plain,
    ( c2_1(a717)
    | c3_1(a717)
    | ~ spl0_38
    | ~ spl0_140 ),
    inference(resolution,[],[f418,f956]) ).

fof(f2117,plain,
    ( ~ spl0_31
    | ~ spl0_46
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(avatar_contradiction_clause,[],[f2116]) ).

fof(f2116,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_46
    | ~ spl0_72
    | ~ spl0_73 ),
    inference(subsumption_resolution,[],[f2107,f599]) ).

fof(f2107,plain,
    ( ~ c2_1(a709)
    | ~ spl0_31
    | ~ spl0_46
    | ~ spl0_72 ),
    inference(resolution,[],[f2098,f594]) ).

fof(f2098,plain,
    ( ! [X41] :
        ( ~ c3_1(X41)
        | ~ c2_1(X41) )
    | ~ spl0_31
    | ~ spl0_46 ),
    inference(subsumption_resolution,[],[f459,f385]) ).

fof(f2077,plain,
    ( ~ spl0_107
    | ~ spl0_170
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(avatar_split_clause,[],[f1278,f773,f384,f2074,f778]) ).

fof(f1278,plain,
    ( ~ c0_1(a739)
    | ~ c2_1(a739)
    | ~ spl0_31
    | ~ spl0_106 ),
    inference(resolution,[],[f775,f385]) ).

fof(f1994,plain,
    ( ~ spl0_70
    | ~ spl0_71
    | ~ spl0_31
    | ~ spl0_69 ),
    inference(avatar_split_clause,[],[f1911,f576,f384,f586,f581]) ).

fof(f581,plain,
    ( spl0_70
  <=> c2_1(a714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_70])]) ).

fof(f586,plain,
    ( spl0_71
  <=> c0_1(a714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_71])]) ).

fof(f576,plain,
    ( spl0_69
  <=> c3_1(a714) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_69])]) ).

fof(f1911,plain,
    ( ~ c0_1(a714)
    | ~ c2_1(a714)
    | ~ spl0_31
    | ~ spl0_69 ),
    inference(resolution,[],[f578,f385]) ).

fof(f578,plain,
    ( c3_1(a714)
    | ~ spl0_69 ),
    inference(avatar_component_clause,[],[f576]) ).

fof(f1992,plain,
    ( ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_149 ),
    inference(avatar_contradiction_clause,[],[f1981]) ).

fof(f1981,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_149 ),
    inference(resolution,[],[f1965,f1004]) ).

fof(f1965,plain,
    ( ! [X33] : ~ c0_1(X33)
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f1964,f1932]) ).

fof(f1932,plain,
    ( ! [X87] :
        ( ~ c0_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_61 ),
    inference(subsumption_resolution,[],[f533,f1836]) ).

fof(f1836,plain,
    ( ! [X2] :
        ( ~ c0_1(X2)
        | ~ c1_1(X2) )
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f377,f1824]) ).

fof(f1824,plain,
    ( ! [X60] :
        ( ~ c0_1(X60)
        | ~ c3_1(X60) )
    | ~ spl0_31
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f500,f385]) ).

fof(f533,plain,
    ( ! [X87] :
        ( ~ c0_1(X87)
        | c1_1(X87)
        | ~ c2_1(X87) )
    | ~ spl0_61 ),
    inference(avatar_component_clause,[],[f532]) ).

fof(f532,plain,
    ( spl0_61
  <=> ! [X87] :
        ( ~ c2_1(X87)
        | c1_1(X87)
        | ~ c0_1(X87) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_61])]) ).

fof(f1964,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | c2_1(X33) )
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f448,f1836]) ).

fof(f1991,plain,
    ( ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_140 ),
    inference(avatar_contradiction_clause,[],[f1982]) ).

fof(f1982,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_140 ),
    inference(resolution,[],[f1965,f956]) ).

fof(f1942,plain,
    ( ~ spl0_29
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(avatar_contradiction_clause,[],[f1941]) ).

fof(f1941,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_142
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1936,f967]) ).

fof(f1936,plain,
    ( ~ c2_1(a716)
    | ~ spl0_29
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_61
    | ~ spl0_143 ),
    inference(resolution,[],[f1932,f972]) ).

fof(f1927,plain,
    ( spl0_65
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(avatar_split_clause,[],[f1926,f518,f441,f555]) ).

fof(f1926,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0) )
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(duplicate_literal_removal,[],[f1912]) ).

fof(f1912,plain,
    ( ! [X0] :
        ( c0_1(X0)
        | c2_1(X0)
        | c1_1(X0)
        | c2_1(X0) )
    | ~ spl0_43
    | ~ spl0_58 ),
    inference(resolution,[],[f519,f442]) ).

fof(f1814,plain,
    ( ~ spl0_27
    | ~ spl0_31
    | ~ spl0_38
    | ~ spl0_53
    | spl0_93
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1813]) ).

fof(f1813,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_38
    | ~ spl0_53
    | spl0_93
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1805,f716]) ).

fof(f716,plain,
    ( c1_1(a756)
    | ~ spl0_95 ),
    inference(avatar_component_clause,[],[f714]) ).

fof(f714,plain,
    ( spl0_95
  <=> c1_1(a756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_95])]) ).

fof(f1805,plain,
    ( ~ c1_1(a756)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_38
    | ~ spl0_53
    | spl0_93 ),
    inference(resolution,[],[f1798,f706]) ).

fof(f706,plain,
    ( ~ c3_1(a756)
    | spl0_93 ),
    inference(avatar_component_clause,[],[f704]) ).

fof(f704,plain,
    ( spl0_93
  <=> c3_1(a756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_93])]) ).

fof(f1798,plain,
    ( ! [X59] :
        ( c3_1(X59)
        | ~ c1_1(X59) )
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_38
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f492,f1622]) ).

fof(f1622,plain,
    ( ! [X15] :
        ( ~ c0_1(X15)
        | c3_1(X15) )
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_38 ),
    inference(subsumption_resolution,[],[f418,f1143]) ).

fof(f1143,plain,
    ( ! [X1] :
        ( ~ c0_1(X1)
        | ~ c2_1(X1) )
    | ~ spl0_27
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f369,f385]) ).

fof(f1760,plain,
    ( spl0_129
    | ~ spl0_43
    | spl0_130
    | ~ spl0_131 ),
    inference(avatar_split_clause,[],[f1754,f906,f901,f441,f896]) ).

fof(f896,plain,
    ( spl0_129
  <=> c2_1(a720) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_129])]) ).

fof(f901,plain,
    ( spl0_130
  <=> c1_1(a720) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_130])]) ).

fof(f906,plain,
    ( spl0_131
  <=> c3_1(a720) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_131])]) ).

fof(f1754,plain,
    ( c2_1(a720)
    | ~ spl0_43
    | spl0_130
    | ~ spl0_131 ),
    inference(subsumption_resolution,[],[f1739,f903]) ).

fof(f903,plain,
    ( ~ c1_1(a720)
    | spl0_130 ),
    inference(avatar_component_clause,[],[f901]) ).

fof(f1739,plain,
    ( c1_1(a720)
    | c2_1(a720)
    | ~ spl0_43
    | ~ spl0_131 ),
    inference(resolution,[],[f442,f908]) ).

fof(f908,plain,
    ( c3_1(a720)
    | ~ spl0_131 ),
    inference(avatar_component_clause,[],[f906]) ).

fof(f1710,plain,
    ( ~ spl0_27
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_59
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f1709]) ).

fof(f1709,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_59
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f1697,f770]) ).

fof(f770,plain,
    ( ~ c1_1(a739)
    | spl0_105 ),
    inference(avatar_component_clause,[],[f768]) ).

fof(f1697,plain,
    ( c1_1(a739)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_59
    | ~ spl0_106 ),
    inference(resolution,[],[f1681,f775]) ).

fof(f1681,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | c1_1(X82) )
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_44
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f524,f1605]) ).

fof(f1605,plain,
    ( ! [X33] :
        ( ~ c0_1(X33)
        | c1_1(X33) )
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_44 ),
    inference(subsumption_resolution,[],[f448,f1143]) ).

fof(f1680,plain,
    ( ~ spl0_27
    | ~ spl0_31
    | ~ spl0_50
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(avatar_contradiction_clause,[],[f1679]) ).

fof(f1679,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_50
    | ~ spl0_73
    | ~ spl0_74 ),
    inference(subsumption_resolution,[],[f1676,f604]) ).

fof(f1676,plain,
    ( ~ c1_1(a709)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_50
    | ~ spl0_73 ),
    inference(resolution,[],[f1668,f599]) ).

fof(f1668,plain,
    ( ! [X55] :
        ( ~ c2_1(X55)
        | ~ c1_1(X55) )
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_50 ),
    inference(subsumption_resolution,[],[f479,f1143]) ).

fof(f1678,plain,
    ( ~ spl0_27
    | ~ spl0_31
    | ~ spl0_50
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(avatar_contradiction_clause,[],[f1677]) ).

fof(f1677,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_50
    | ~ spl0_133
    | ~ spl0_134 ),
    inference(subsumption_resolution,[],[f1671,f924]) ).

fof(f1671,plain,
    ( ~ c1_1(a719)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_50
    | ~ spl0_133 ),
    inference(resolution,[],[f1668,f919]) ).

fof(f1615,plain,
    ( ~ spl0_75
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_77 ),
    inference(avatar_split_clause,[],[f1611,f618,f384,f368,f608]) ).

fof(f1611,plain,
    ( ~ c2_1(a705)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_77 ),
    inference(resolution,[],[f620,f1143]) ).

fof(f1592,plain,
    ( ~ spl0_43
    | ~ spl0_60
    | spl0_120
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1591]) ).

fof(f1591,plain,
    ( $false
    | ~ spl0_43
    | ~ spl0_60
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1580,f850]) ).

fof(f1580,plain,
    ( c2_1(a727)
    | ~ spl0_43
    | ~ spl0_60
    | ~ spl0_122 ),
    inference(resolution,[],[f1576,f860]) ).

fof(f1576,plain,
    ( ! [X83] :
        ( ~ c3_1(X83)
        | c2_1(X83) )
    | ~ spl0_43
    | ~ spl0_60 ),
    inference(subsumption_resolution,[],[f528,f442]) ).

fof(f528,plain,
    ( ! [X83] :
        ( ~ c3_1(X83)
        | c2_1(X83)
        | ~ c1_1(X83) )
    | ~ spl0_60 ),
    inference(avatar_component_clause,[],[f527]) ).

fof(f527,plain,
    ( spl0_60
  <=> ! [X83] :
        ( ~ c3_1(X83)
        | c2_1(X83)
        | ~ c1_1(X83) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_60])]) ).

fof(f1577,plain,
    ( ~ spl0_165
    | ~ spl0_29
    | spl0_141
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1567,f970,f960,f376,f1571]) ).

fof(f1567,plain,
    ( ~ c1_1(a716)
    | ~ spl0_29
    | spl0_141
    | ~ spl0_143 ),
    inference(subsumption_resolution,[],[f1564,f962]) ).

fof(f1564,plain,
    ( c3_1(a716)
    | ~ c1_1(a716)
    | ~ spl0_29
    | ~ spl0_143 ),
    inference(resolution,[],[f972,f377]) ).

fof(f1575,plain,
    ( ~ spl0_142
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_143 ),
    inference(avatar_split_clause,[],[f1565,f970,f384,f368,f965]) ).

fof(f1565,plain,
    ( ~ c2_1(a716)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_143 ),
    inference(resolution,[],[f972,f1143]) ).

fof(f1562,plain,
    ( ~ spl0_31
    | ~ spl0_55
    | ~ spl0_59
    | spl0_105
    | ~ spl0_106 ),
    inference(avatar_contradiction_clause,[],[f1561]) ).

fof(f1561,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_59
    | spl0_105
    | ~ spl0_106 ),
    inference(subsumption_resolution,[],[f1553,f770]) ).

fof(f1553,plain,
    ( c1_1(a739)
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_59
    | ~ spl0_106 ),
    inference(resolution,[],[f1547,f775]) ).

fof(f1547,plain,
    ( ! [X82] :
        ( ~ c3_1(X82)
        | c1_1(X82) )
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_59 ),
    inference(subsumption_resolution,[],[f524,f1439]) ).

fof(f1439,plain,
    ( ! [X60] :
        ( ~ c0_1(X60)
        | ~ c3_1(X60) )
    | ~ spl0_31
    | ~ spl0_55 ),
    inference(subsumption_resolution,[],[f500,f385]) ).

fof(f1560,plain,
    ( ~ spl0_31
    | ~ spl0_55
    | ~ spl0_59
    | spl0_126
    | ~ spl0_128 ),
    inference(avatar_contradiction_clause,[],[f1559]) ).

fof(f1559,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_59
    | spl0_126
    | ~ spl0_128 ),
    inference(subsumption_resolution,[],[f1549,f882]) ).

fof(f882,plain,
    ( ~ c1_1(a721)
    | spl0_126 ),
    inference(avatar_component_clause,[],[f880]) ).

fof(f880,plain,
    ( spl0_126
  <=> c1_1(a721) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_126])]) ).

fof(f1549,plain,
    ( c1_1(a721)
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_59
    | ~ spl0_128 ),
    inference(resolution,[],[f1547,f892]) ).

fof(f892,plain,
    ( c3_1(a721)
    | ~ spl0_128 ),
    inference(avatar_component_clause,[],[f890]) ).

fof(f890,plain,
    ( spl0_128
  <=> c3_1(a721) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_128])]) ).

fof(f1517,plain,
    ( ~ spl0_32
    | ~ spl0_57
    | spl0_117
    | ~ spl0_119 ),
    inference(avatar_contradiction_clause,[],[f1516]) ).

fof(f1516,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_57
    | spl0_117
    | ~ spl0_119 ),
    inference(subsumption_resolution,[],[f1504,f834]) ).

fof(f1504,plain,
    ( c2_1(a730)
    | ~ spl0_32
    | ~ spl0_57
    | ~ spl0_119 ),
    inference(resolution,[],[f1500,f844]) ).

fof(f1500,plain,
    ( ! [X64] :
        ( ~ c1_1(X64)
        | c2_1(X64) )
    | ~ spl0_32
    | ~ spl0_57 ),
    inference(subsumption_resolution,[],[f509,f389]) ).

fof(f1481,plain,
    ( ~ spl0_31
    | ~ spl0_55
    | ~ spl0_56
    | spl0_120
    | ~ spl0_122 ),
    inference(avatar_contradiction_clause,[],[f1480]) ).

fof(f1480,plain,
    ( $false
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_56
    | spl0_120
    | ~ spl0_122 ),
    inference(subsumption_resolution,[],[f1470,f850]) ).

fof(f1470,plain,
    ( c2_1(a727)
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_56
    | ~ spl0_122 ),
    inference(resolution,[],[f1467,f860]) ).

fof(f1467,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c2_1(X62) )
    | ~ spl0_31
    | ~ spl0_55
    | ~ spl0_56 ),
    inference(subsumption_resolution,[],[f504,f1439]) ).

fof(f504,plain,
    ( ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | c2_1(X62) )
    | ~ spl0_56 ),
    inference(avatar_component_clause,[],[f503]) ).

fof(f503,plain,
    ( spl0_56
  <=> ! [X62] :
        ( ~ c3_1(X62)
        | c0_1(X62)
        | c2_1(X62) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_56])]) ).

fof(f1436,plain,
    ( ~ spl0_29
    | ~ spl0_53
    | spl0_93
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1435]) ).

fof(f1435,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_53
    | spl0_93
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1427,f706]) ).

fof(f1427,plain,
    ( c3_1(a756)
    | ~ spl0_29
    | ~ spl0_53
    | ~ spl0_95 ),
    inference(resolution,[],[f1422,f716]) ).

fof(f1422,plain,
    ( ! [X59] :
        ( ~ c1_1(X59)
        | c3_1(X59) )
    | ~ spl0_29
    | ~ spl0_53 ),
    inference(subsumption_resolution,[],[f492,f377]) ).

fof(f1434,plain,
    ( ~ spl0_29
    | ~ spl0_53
    | spl0_153
    | ~ spl0_155 ),
    inference(avatar_contradiction_clause,[],[f1433]) ).

fof(f1433,plain,
    ( $false
    | ~ spl0_29
    | ~ spl0_53
    | spl0_153
    | ~ spl0_155 ),
    inference(subsumption_resolution,[],[f1423,f1026]) ).

fof(f1423,plain,
    ( c3_1(a708)
    | ~ spl0_29
    | ~ spl0_53
    | ~ spl0_155 ),
    inference(resolution,[],[f1422,f1036]) ).

fof(f1251,plain,
    ( spl0_111
    | ~ spl0_43
    | ~ spl0_112
    | spl0_163 ),
    inference(avatar_split_clause,[],[f1250,f1149,f805,f441,f800]) ).

fof(f805,plain,
    ( spl0_112
  <=> c3_1(a732) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_112])]) ).

fof(f1250,plain,
    ( c1_1(a732)
    | ~ spl0_43
    | ~ spl0_112
    | spl0_163 ),
    inference(subsumption_resolution,[],[f1230,f1151]) ).

fof(f1230,plain,
    ( c1_1(a732)
    | c2_1(a732)
    | ~ spl0_43
    | ~ spl0_112 ),
    inference(resolution,[],[f442,f807]) ).

fof(f807,plain,
    ( c3_1(a732)
    | ~ spl0_112 ),
    inference(avatar_component_clause,[],[f805]) ).

fof(f1243,plain,
    ( ~ spl0_32
    | ~ spl0_43
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1242]) ).

fof(f1242,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_43
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1241,f674]) ).

fof(f1241,plain,
    ( c2_1(a762)
    | ~ spl0_32
    | ~ spl0_43
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1232,f1089]) ).

fof(f1089,plain,
    ( ~ c1_1(a762)
    | ~ spl0_32
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1088,f674]) ).

fof(f1088,plain,
    ( c2_1(a762)
    | ~ c1_1(a762)
    | ~ spl0_32
    | ~ spl0_89 ),
    inference(resolution,[],[f389,f684]) ).

fof(f1232,plain,
    ( c1_1(a762)
    | c2_1(a762)
    | ~ spl0_43
    | ~ spl0_88 ),
    inference(resolution,[],[f442,f679]) ).

fof(f1227,plain,
    ( ~ spl0_25
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(avatar_contradiction_clause,[],[f1226]) ).

fof(f1226,plain,
    ( $false
    | ~ spl0_25
    | spl0_93
    | ~ spl0_94
    | ~ spl0_95 ),
    inference(subsumption_resolution,[],[f1225,f716]) ).

fof(f1225,plain,
    ( ~ c1_1(a756)
    | ~ spl0_25
    | spl0_93
    | ~ spl0_94 ),
    inference(subsumption_resolution,[],[f1221,f706]) ).

fof(f1221,plain,
    ( c3_1(a756)
    | ~ c1_1(a756)
    | ~ spl0_25
    | ~ spl0_94 ),
    inference(resolution,[],[f361,f711]) ).

fof(f711,plain,
    ( c2_1(a756)
    | ~ spl0_94 ),
    inference(avatar_component_clause,[],[f709]) ).

fof(f709,plain,
    ( spl0_94
  <=> c2_1(a756) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_94])]) ).

fof(f1218,plain,
    ( ~ spl0_32
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(avatar_contradiction_clause,[],[f1217]) ).

fof(f1217,plain,
    ( $false
    | ~ spl0_32
    | spl0_90
    | ~ spl0_91
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f1216,f695]) ).

fof(f695,plain,
    ( c1_1(a757)
    | ~ spl0_91 ),
    inference(avatar_component_clause,[],[f693]) ).

fof(f693,plain,
    ( spl0_91
  <=> c1_1(a757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_91])]) ).

fof(f1216,plain,
    ( ~ c1_1(a757)
    | ~ spl0_32
    | spl0_90
    | ~ spl0_92 ),
    inference(subsumption_resolution,[],[f1215,f690]) ).

fof(f690,plain,
    ( ~ c2_1(a757)
    | spl0_90 ),
    inference(avatar_component_clause,[],[f688]) ).

fof(f688,plain,
    ( spl0_90
  <=> c2_1(a757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_90])]) ).

fof(f1215,plain,
    ( c2_1(a757)
    | ~ c1_1(a757)
    | ~ spl0_32
    | ~ spl0_92 ),
    inference(resolution,[],[f700,f389]) ).

fof(f700,plain,
    ( c0_1(a757)
    | ~ spl0_92 ),
    inference(avatar_component_clause,[],[f698]) ).

fof(f698,plain,
    ( spl0_92
  <=> c0_1(a757) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_92])]) ).

fof(f1212,plain,
    ( ~ spl0_70
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_71 ),
    inference(avatar_split_clause,[],[f1203,f586,f384,f368,f581]) ).

fof(f1203,plain,
    ( ~ c2_1(a714)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_71 ),
    inference(resolution,[],[f588,f1143]) ).

fof(f588,plain,
    ( c0_1(a714)
    | ~ spl0_71 ),
    inference(avatar_component_clause,[],[f586]) ).

fof(f1198,plain,
    ( ~ spl0_39
    | ~ spl0_43
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_contradiction_clause,[],[f1197]) ).

fof(f1197,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_43
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1190,f802]) ).

fof(f802,plain,
    ( ~ c1_1(a732)
    | spl0_111 ),
    inference(avatar_component_clause,[],[f800]) ).

fof(f1190,plain,
    ( c1_1(a732)
    | ~ spl0_39
    | ~ spl0_43
    | ~ spl0_112 ),
    inference(resolution,[],[f1187,f807]) ).

fof(f1187,plain,
    ( ! [X28] :
        ( ~ c3_1(X28)
        | c1_1(X28) )
    | ~ spl0_39
    | ~ spl0_43 ),
    inference(subsumption_resolution,[],[f442,f422]) ).

fof(f1184,plain,
    ( ~ spl0_32
    | ~ spl0_40
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(avatar_contradiction_clause,[],[f1183]) ).

fof(f1183,plain,
    ( $false
    | ~ spl0_32
    | ~ spl0_40
    | spl0_87
    | ~ spl0_88
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1182,f679]) ).

fof(f1182,plain,
    ( ~ c3_1(a762)
    | ~ spl0_32
    | ~ spl0_40
    | spl0_87
    | ~ spl0_89 ),
    inference(subsumption_resolution,[],[f1178,f1089]) ).

fof(f1178,plain,
    ( c1_1(a762)
    | ~ c3_1(a762)
    | ~ spl0_40
    | ~ spl0_89 ),
    inference(resolution,[],[f427,f684]) ).

fof(f427,plain,
    ( ! [X19] :
        ( ~ c0_1(X19)
        | c1_1(X19)
        | ~ c3_1(X19) )
    | ~ spl0_40 ),
    inference(avatar_component_clause,[],[f426]) ).

fof(f426,plain,
    ( spl0_40
  <=> ! [X19] :
        ( ~ c3_1(X19)
        | c1_1(X19)
        | ~ c0_1(X19) ) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_40])]) ).

fof(f1181,plain,
    ( ~ spl0_40
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(avatar_contradiction_clause,[],[f1180]) ).

fof(f1180,plain,
    ( $false
    | ~ spl0_40
    | spl0_111
    | ~ spl0_112
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1179,f807]) ).

fof(f1179,plain,
    ( ~ c3_1(a732)
    | ~ spl0_40
    | spl0_111
    | ~ spl0_113 ),
    inference(subsumption_resolution,[],[f1177,f802]) ).

fof(f1177,plain,
    ( c1_1(a732)
    | ~ c3_1(a732)
    | ~ spl0_40
    | ~ spl0_113 ),
    inference(resolution,[],[f427,f812]) ).

fof(f812,plain,
    ( c0_1(a732)
    | ~ spl0_113 ),
    inference(avatar_component_clause,[],[f810]) ).

fof(f1172,plain,
    ( ~ spl0_39
    | ~ spl0_41
    | spl0_84
    | ~ spl0_85 ),
    inference(avatar_contradiction_clause,[],[f1171]) ).

fof(f1171,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_41
    | spl0_84
    | ~ spl0_85 ),
    inference(subsumption_resolution,[],[f1166,f658]) ).

fof(f658,plain,
    ( ~ c1_1(a764)
    | spl0_84 ),
    inference(avatar_component_clause,[],[f656]) ).

fof(f656,plain,
    ( spl0_84
  <=> c1_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_84])]) ).

fof(f1166,plain,
    ( c1_1(a764)
    | ~ spl0_39
    | ~ spl0_41
    | ~ spl0_85 ),
    inference(resolution,[],[f1144,f663]) ).

fof(f663,plain,
    ( c2_1(a764)
    | ~ spl0_85 ),
    inference(avatar_component_clause,[],[f661]) ).

fof(f661,plain,
    ( spl0_85
  <=> c2_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_85])]) ).

fof(f1144,plain,
    ( ! [X23] :
        ( ~ c2_1(X23)
        | c1_1(X23) )
    | ~ spl0_39
    | ~ spl0_41 ),
    inference(subsumption_resolution,[],[f433,f422]) ).

fof(f1170,plain,
    ( ~ spl0_39
    | ~ spl0_41
    | spl0_123
    | ~ spl0_125 ),
    inference(avatar_contradiction_clause,[],[f1169]) ).

fof(f1169,plain,
    ( $false
    | ~ spl0_39
    | ~ spl0_41
    | spl0_123
    | ~ spl0_125 ),
    inference(subsumption_resolution,[],[f1164,f866]) ).

fof(f1164,plain,
    ( c1_1(a725)
    | ~ spl0_39
    | ~ spl0_41
    | ~ spl0_125 ),
    inference(resolution,[],[f1144,f876]) ).

fof(f1154,plain,
    ( ~ spl0_163
    | ~ spl0_39
    | spl0_111
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1147,f805,f800,f421,f1149]) ).

fof(f1147,plain,
    ( ~ c2_1(a732)
    | ~ spl0_39
    | spl0_111
    | ~ spl0_112 ),
    inference(subsumption_resolution,[],[f1145,f802]) ).

fof(f1145,plain,
    ( c1_1(a732)
    | ~ c2_1(a732)
    | ~ spl0_39
    | ~ spl0_112 ),
    inference(resolution,[],[f807,f422]) ).

fof(f1152,plain,
    ( ~ spl0_163
    | ~ spl0_113
    | ~ spl0_31
    | ~ spl0_112 ),
    inference(avatar_split_clause,[],[f1146,f805,f384,f810,f1149]) ).

fof(f1146,plain,
    ( ~ c0_1(a732)
    | ~ c2_1(a732)
    | ~ spl0_31
    | ~ spl0_112 ),
    inference(resolution,[],[f807,f385]) ).

fof(f1083,plain,
    ( ~ spl0_27
    | ~ spl0_31
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(avatar_contradiction_clause,[],[f1082]) ).

fof(f1082,plain,
    ( $false
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_85
    | ~ spl0_86 ),
    inference(subsumption_resolution,[],[f1080,f663]) ).

fof(f1080,plain,
    ( ~ c2_1(a764)
    | ~ spl0_27
    | ~ spl0_31
    | ~ spl0_86 ),
    inference(resolution,[],[f1079,f668]) ).

fof(f668,plain,
    ( c0_1(a764)
    | ~ spl0_86 ),
    inference(avatar_component_clause,[],[f666]) ).

fof(f666,plain,
    ( spl0_86
  <=> c0_1(a764) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_86])]) ).

fof(f1079,plain,
    ( ! [X3] :
        ( ~ c0_1(X3)
        | ~ c2_1(X3) )
    | ~ spl0_27
    | ~ spl0_31 ),
    inference(subsumption_resolution,[],[f385,f369]) ).

fof(f1069,plain,
    ( ~ spl0_26
    | ~ spl0_161 ),
    inference(avatar_split_clause,[],[f8,f1066,f363]) ).

fof(f363,plain,
    ( spl0_26
  <=> hskp0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_26])]) ).

fof(f8,plain,
    ( ~ c0_1(a706)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f6,plain,
    ( ( hskp5
      | hskp11
      | hskp18 )
    & ( hskp11
      | hskp8
      | hskp22 )
    & ( hskp18
      | hskp20
      | hskp9 )
    & ( hskp10
      | hskp18
      | hskp29 )
    & ( hskp8
      | hskp14
      | hskp7 )
    & ( hskp2
      | hskp1
      | hskp24 )
    & ( hskp4
      | hskp24
      | hskp16 )
    & ( hskp18
      | hskp8
      | hskp6 )
    & ( hskp21
      | hskp1
      | hskp6 )
    & ( hskp12
      | hskp18
      | hskp25 )
    & ( hskp9
      | hskp29
      | hskp25 )
    & ( hskp17
      | hskp30
      | hskp23 )
    & ( hskp0
      | hskp8
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp31
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c0_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp7
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp19
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp16
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp31
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp28
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp29
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp26
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp0
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp24
      | ! [X23] :
          ( ~ c2_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X28] :
          ( ~ c3_1(X28)
          | c2_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c2_1(X29)
          | ~ c1_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c3_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp16
      | ! [X33] :
          ( ~ c0_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp6
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp30
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ c1_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X45] :
          ( ~ c1_1(X45)
          | c3_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp4
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp15
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp30
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X64] :
          ( ~ c1_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp1
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c0_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | c2_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c1_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X85] :
          ( ~ c0_1(X85)
          | c3_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X87] :
          ( ~ c2_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c1_1(X98)
          | c3_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a723)
        & c1_1(a723)
        & c0_1(a723)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a714)
        & c2_1(a714)
        & c0_1(a714)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a709)
        & c2_1(a709)
        & c1_1(a709)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a705)
        & c1_1(a705)
        & c0_1(a705)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a780)
        & ~ c1_1(a780)
        & c2_1(a780)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a773)
        & c1_1(a773)
        & c0_1(a773)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a762)
        & c3_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a757)
        & c1_1(a757)
        & c0_1(a757)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a756)
        & c2_1(a756)
        & c1_1(a756)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a748)
        & c3_1(a748)
        & c2_1(a748)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a747)
        & ~ c2_1(a747)
        & c1_1(a747)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a739)
        & c3_1(a739)
        & c2_1(a739)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a734)
        & ~ c1_1(a734)
        & ~ c0_1(a734)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a732)
        & c3_1(a732)
        & c0_1(a732)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a731)
        & ~ c0_1(a731)
        & c2_1(a731)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a730)
        & c3_1(a730)
        & c1_1(a730)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a727)
        & ~ c0_1(a727)
        & c3_1(a727)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a725)
        & ~ c0_1(a725)
        & c2_1(a725)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a721)
        & ~ c0_1(a721)
        & c3_1(a721)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a720)
        & ~ c1_1(a720)
        & c3_1(a720)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a719)
        & c2_1(a719)
        & c1_1(a719)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a718)
        & ~ c0_1(a718)
        & c1_1(a718)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a717)
        & ~ c2_1(a717)
        & c0_1(a717)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a716)
        & c2_1(a716)
        & c0_1(a716)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a713)
        & ~ c2_1(a713)
        & ~ c0_1(a713)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a711)
        & ~ c1_1(a711)
        & c0_1(a711)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c1_1(a710)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a708)
        & ~ c0_1(a708)
        & c1_1(a708)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a707)
        & ~ c1_1(a707)
        & c0_1(a707)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a706)
        & ~ c1_1(a706)
        & ~ c0_1(a706)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f5]) ).

fof(f5,plain,
    ( ( hskp5
      | hskp11
      | hskp18 )
    & ( hskp11
      | hskp8
      | hskp22 )
    & ( hskp18
      | hskp20
      | hskp9 )
    & ( hskp10
      | hskp18
      | hskp29 )
    & ( hskp8
      | hskp14
      | hskp7 )
    & ( hskp2
      | hskp1
      | hskp24 )
    & ( hskp4
      | hskp24
      | hskp16 )
    & ( hskp18
      | hskp8
      | hskp6 )
    & ( hskp21
      | hskp1
      | hskp6 )
    & ( hskp12
      | hskp18
      | hskp25 )
    & ( hskp9
      | hskp29
      | hskp25 )
    & ( hskp17
      | hskp30
      | hskp23 )
    & ( hskp0
      | hskp8
      | ! [X0] :
          ( ~ c2_1(X0)
          | ~ c1_1(X0)
          | c3_1(X0)
          | ~ ndr1_0 ) )
    & ( hskp1
      | hskp31
      | ! [X1] :
          ( ~ c2_1(X1)
          | ~ c0_1(X1)
          | c3_1(X1)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp7
      | ! [X2] :
          ( ~ c1_1(X2)
          | ~ c0_1(X2)
          | c3_1(X2)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X3] :
          ( ~ c3_1(X3)
          | ~ c2_1(X3)
          | ~ c0_1(X3)
          | ~ ndr1_0 )
      | ! [X4] :
          ( ~ c1_1(X4)
          | ~ c0_1(X4)
          | c3_1(X4)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp19
      | ! [X5] :
          ( ~ c1_1(X5)
          | ~ c0_1(X5)
          | c2_1(X5)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp16
      | ! [X6] :
          ( ~ c1_1(X6)
          | ~ c0_1(X6)
          | c2_1(X6)
          | ~ ndr1_0 ) )
    & ( hskp27
      | hskp31
      | ! [X7] :
          ( ~ c1_1(X7)
          | ~ c0_1(X7)
          | c2_1(X7)
          | ~ ndr1_0 ) )
    & ( hskp31
      | hskp28
      | ! [X8] :
          ( ~ c1_1(X8)
          | ~ c0_1(X8)
          | c2_1(X8)
          | ~ ndr1_0 ) )
    & ( ! [X9] :
          ( ~ c2_1(X9)
          | ~ c0_1(X9)
          | c3_1(X9)
          | ~ ndr1_0 )
      | ! [X10] :
          ( ~ c1_1(X10)
          | ~ c0_1(X10)
          | c3_1(X10)
          | ~ ndr1_0 )
      | ! [X11] :
          ( ~ c1_1(X11)
          | ~ c0_1(X11)
          | c2_1(X11)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp29
      | ! [X12] :
          ( ~ c1_1(X12)
          | c3_1(X12)
          | c2_1(X12)
          | ~ ndr1_0 ) )
    & ( hskp11
      | hskp26
      | ! [X13] :
          ( ~ c1_1(X13)
          | c3_1(X13)
          | c2_1(X13)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X14] :
          ( ~ c1_1(X14)
          | ~ c0_1(X14)
          | c3_1(X14)
          | ~ ndr1_0 )
      | ! [X15] :
          ( ~ c0_1(X15)
          | c3_1(X15)
          | c2_1(X15)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp30
      | ! [X16] :
          ( ~ c3_1(X16)
          | ~ c2_1(X16)
          | c1_1(X16)
          | ~ ndr1_0 ) )
    & ( hskp14
      | ! [X17] :
          ( ~ c1_1(X17)
          | ~ c0_1(X17)
          | c2_1(X17)
          | ~ ndr1_0 )
      | ! [X18] :
          ( ~ c3_1(X18)
          | ~ c2_1(X18)
          | c1_1(X18)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp0
      | ! [X19] :
          ( ~ c3_1(X19)
          | ~ c0_1(X19)
          | c1_1(X19)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp29
      | ! [X20] :
          ( ~ c3_1(X20)
          | ~ c0_1(X20)
          | c1_1(X20)
          | ~ ndr1_0 ) )
    & ( hskp25
      | ! [X21] :
          ( ~ c3_1(X21)
          | ~ c2_1(X21)
          | ~ c0_1(X21)
          | ~ ndr1_0 )
      | ! [X22] :
          ( ~ c3_1(X22)
          | ~ c0_1(X22)
          | c1_1(X22)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp24
      | ! [X23] :
          ( ~ c2_1(X23)
          | c3_1(X23)
          | c1_1(X23)
          | ~ ndr1_0 ) )
    & ( hskp13
      | ! [X24] :
          ( ~ c0_1(X24)
          | c3_1(X24)
          | c2_1(X24)
          | ~ ndr1_0 )
      | ! [X25] :
          ( ~ c2_1(X25)
          | c3_1(X25)
          | c1_1(X25)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X26] :
          ( ~ c3_1(X26)
          | ~ c2_1(X26)
          | ~ c0_1(X26)
          | ~ ndr1_0 )
      | ! [X27] :
          ( ~ c0_1(X27)
          | c3_1(X27)
          | c1_1(X27)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp14
      | ! [X28] :
          ( ~ c3_1(X28)
          | c2_1(X28)
          | c1_1(X28)
          | ~ ndr1_0 ) )
    & ( ! [X29] :
          ( ~ c2_1(X29)
          | ~ c1_1(X29)
          | c3_1(X29)
          | ~ ndr1_0 )
      | ! [X30] :
          ( ~ c3_1(X30)
          | c2_1(X30)
          | c1_1(X30)
          | ~ ndr1_0 ) )
    & ( hskp23
      | ! [X31] :
          ( ~ c3_1(X31)
          | ~ c0_1(X31)
          | c1_1(X31)
          | ~ ndr1_0 )
      | ! [X32] :
          ( ~ c3_1(X32)
          | c2_1(X32)
          | c1_1(X32)
          | ~ ndr1_0 ) )
    & ( hskp22
      | hskp16
      | ! [X33] :
          ( ~ c0_1(X33)
          | c2_1(X33)
          | c1_1(X33)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp6
      | ! [X34] :
          ( ~ c0_1(X34)
          | c2_1(X34)
          | c1_1(X34)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp30
      | ! [X35] :
          ( ~ c0_1(X35)
          | c2_1(X35)
          | c1_1(X35)
          | ~ ndr1_0 ) )
    & ( hskp17
      | ! [X36] :
          ( ~ c2_1(X36)
          | c3_1(X36)
          | c1_1(X36)
          | ~ ndr1_0 )
      | ! [X37] :
          ( c3_1(X37)
          | c2_1(X37)
          | c1_1(X37)
          | ~ ndr1_0 ) )
    & ( ! [X38] :
          ( ~ c1_1(X38)
          | c3_1(X38)
          | c2_1(X38)
          | ~ ndr1_0 )
      | ! [X39] :
          ( ~ c0_1(X39)
          | c3_1(X39)
          | c1_1(X39)
          | ~ ndr1_0 )
      | ! [X40] :
          ( c3_1(X40)
          | c2_1(X40)
          | c1_1(X40)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp21
      | ! [X41] :
          ( ~ c3_1(X41)
          | ~ c2_1(X41)
          | c0_1(X41)
          | ~ ndr1_0 ) )
    & ( ! [X42] :
          ( ~ c2_1(X42)
          | ~ c1_1(X42)
          | ~ c0_1(X42)
          | ~ ndr1_0 )
      | ! [X43] :
          ( ~ c2_1(X43)
          | ~ c0_1(X43)
          | c3_1(X43)
          | ~ ndr1_0 )
      | ! [X44] :
          ( ~ c3_1(X44)
          | ~ c2_1(X44)
          | c0_1(X44)
          | ~ ndr1_0 ) )
    & ( hskp20
      | ! [X45] :
          ( ~ c1_1(X45)
          | c3_1(X45)
          | c2_1(X45)
          | ~ ndr1_0 )
      | ! [X46] :
          ( ~ c3_1(X46)
          | ~ c2_1(X46)
          | c0_1(X46)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp18
      | ! [X47] :
          ( ~ c3_1(X47)
          | ~ c1_1(X47)
          | c0_1(X47)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp1
      | ! [X48] :
          ( ~ c3_1(X48)
          | ~ c1_1(X48)
          | c0_1(X48)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X49] :
          ( ~ c3_1(X49)
          | ~ c2_1(X49)
          | ~ c0_1(X49)
          | ~ ndr1_0 )
      | ! [X50] :
          ( ~ c3_1(X50)
          | ~ c1_1(X50)
          | c0_1(X50)
          | ~ ndr1_0 ) )
    & ( hskp19
      | ! [X51] :
          ( ~ c3_1(X51)
          | ~ c1_1(X51)
          | ~ c0_1(X51)
          | ~ ndr1_0 )
      | ! [X52] :
          ( ~ c3_1(X52)
          | ~ c1_1(X52)
          | c0_1(X52)
          | ~ ndr1_0 ) )
    & ( hskp2
      | ! [X53] :
          ( ~ c3_1(X53)
          | ~ c0_1(X53)
          | c1_1(X53)
          | ~ ndr1_0 )
      | ! [X54] :
          ( ~ c3_1(X54)
          | ~ c1_1(X54)
          | c0_1(X54)
          | ~ ndr1_0 ) )
    & ( hskp18
      | hskp28
      | ! [X55] :
          ( ~ c2_1(X55)
          | ~ c1_1(X55)
          | c0_1(X55)
          | ~ ndr1_0 ) )
    & ( hskp3
      | hskp4
      | ! [X56] :
          ( ~ c2_1(X56)
          | c3_1(X56)
          | c0_1(X56)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X57] :
          ( ~ c3_1(X57)
          | ~ c2_1(X57)
          | c1_1(X57)
          | ~ ndr1_0 )
      | ! [X58] :
          ( ~ c2_1(X58)
          | c3_1(X58)
          | c0_1(X58)
          | ~ ndr1_0 ) )
    & ( hskp17
      | hskp15
      | ! [X59] :
          ( ~ c1_1(X59)
          | c3_1(X59)
          | c0_1(X59)
          | ~ ndr1_0 ) )
    & ( hskp16
      | ! [X60] :
          ( ~ c3_1(X60)
          | ~ c0_1(X60)
          | c2_1(X60)
          | ~ ndr1_0 )
      | ! [X61] :
          ( ~ c1_1(X61)
          | c3_1(X61)
          | c0_1(X61)
          | ~ ndr1_0 ) )
    & ( hskp15
      | hskp14
      | ! [X62] :
          ( ~ c3_1(X62)
          | c2_1(X62)
          | c0_1(X62)
          | ~ ndr1_0 ) )
    & ( hskp7
      | hskp30
      | ! [X63] :
          ( ~ c3_1(X63)
          | c2_1(X63)
          | c0_1(X63)
          | ~ ndr1_0 ) )
    & ( hskp13
      | hskp8
      | ! [X64] :
          ( ~ c1_1(X64)
          | c2_1(X64)
          | c0_1(X64)
          | ~ ndr1_0 ) )
    & ( hskp12
      | hskp1
      | ! [X65] :
          ( ~ c1_1(X65)
          | c2_1(X65)
          | c0_1(X65)
          | ~ ndr1_0 ) )
    & ( hskp31
      | ! [X66] :
          ( ~ c3_1(X66)
          | ~ c1_1(X66)
          | ~ c0_1(X66)
          | ~ ndr1_0 )
      | ! [X67] :
          ( ~ c1_1(X67)
          | c2_1(X67)
          | c0_1(X67)
          | ~ ndr1_0 ) )
    & ( hskp28
      | ! [X68] :
          ( ~ c1_1(X68)
          | ~ c0_1(X68)
          | c3_1(X68)
          | ~ ndr1_0 )
      | ! [X69] :
          ( ~ c1_1(X69)
          | c2_1(X69)
          | c0_1(X69)
          | ~ ndr1_0 ) )
    & ( hskp11
      | ! [X70] :
          ( ~ c3_1(X70)
          | ~ c2_1(X70)
          | c1_1(X70)
          | ~ ndr1_0 )
      | ! [X71] :
          ( ~ c1_1(X71)
          | c2_1(X71)
          | c0_1(X71)
          | ~ ndr1_0 ) )
    & ( ! [X72] :
          ( ~ c2_1(X72)
          | ~ c1_1(X72)
          | ~ c0_1(X72)
          | ~ ndr1_0 )
      | ! [X73] :
          ( ~ c3_1(X73)
          | ~ c2_1(X73)
          | c1_1(X73)
          | ~ ndr1_0 )
      | ! [X74] :
          ( ~ c1_1(X74)
          | c2_1(X74)
          | c0_1(X74)
          | ~ ndr1_0 ) )
    & ( ! [X75] :
          ( ~ c3_1(X75)
          | c2_1(X75)
          | c1_1(X75)
          | ~ ndr1_0 )
      | ! [X76] :
          ( ~ c0_1(X76)
          | c2_1(X76)
          | c1_1(X76)
          | ~ ndr1_0 )
      | ! [X77] :
          ( ~ c1_1(X77)
          | c2_1(X77)
          | c0_1(X77)
          | ~ ndr1_0 ) )
    & ( hskp10
      | hskp9
      | ! [X78] :
          ( c3_1(X78)
          | c2_1(X78)
          | c0_1(X78)
          | ~ ndr1_0 ) )
    & ( ! [X79] :
          ( ~ c3_1(X79)
          | ~ c2_1(X79)
          | ~ c0_1(X79)
          | ~ ndr1_0 )
      | ! [X80] :
          ( ~ c0_1(X80)
          | c2_1(X80)
          | c1_1(X80)
          | ~ ndr1_0 )
      | ! [X81] :
          ( c3_1(X81)
          | c2_1(X81)
          | c0_1(X81)
          | ~ ndr1_0 ) )
    & ( hskp8
      | hskp7
      | ! [X82] :
          ( ~ c3_1(X82)
          | c1_1(X82)
          | c0_1(X82)
          | ~ ndr1_0 ) )
    & ( hskp6
      | ! [X83] :
          ( ~ c3_1(X83)
          | ~ c1_1(X83)
          | c2_1(X83)
          | ~ ndr1_0 )
      | ! [X84] :
          ( ~ c3_1(X84)
          | c1_1(X84)
          | c0_1(X84)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X85] :
          ( ~ c0_1(X85)
          | c3_1(X85)
          | c2_1(X85)
          | ~ ndr1_0 )
      | ! [X86] :
          ( ~ c3_1(X86)
          | c1_1(X86)
          | c0_1(X86)
          | ~ ndr1_0 ) )
    & ( hskp30
      | ! [X87] :
          ( ~ c2_1(X87)
          | ~ c0_1(X87)
          | c1_1(X87)
          | ~ ndr1_0 )
      | ! [X88] :
          ( ~ c3_1(X88)
          | c1_1(X88)
          | c0_1(X88)
          | ~ ndr1_0 ) )
    & ( ! [X89] :
          ( ~ c2_1(X89)
          | ~ c0_1(X89)
          | c3_1(X89)
          | ~ ndr1_0 )
      | ! [X90] :
          ( c3_1(X90)
          | c2_1(X90)
          | c0_1(X90)
          | ~ ndr1_0 )
      | ! [X91] :
          ( ~ c3_1(X91)
          | c1_1(X91)
          | c0_1(X91)
          | ~ ndr1_0 ) )
    & ( hskp5
      | hskp4
      | ! [X92] :
          ( ~ c2_1(X92)
          | c1_1(X92)
          | c0_1(X92)
          | ~ ndr1_0 ) )
    & ( ! [X93] :
          ( ~ c3_1(X93)
          | ~ c2_1(X93)
          | ~ c1_1(X93)
          | ~ ndr1_0 )
      | ! [X94] :
          ( ~ c3_1(X94)
          | ~ c2_1(X94)
          | c1_1(X94)
          | ~ ndr1_0 )
      | ! [X95] :
          ( ~ c2_1(X95)
          | c1_1(X95)
          | c0_1(X95)
          | ~ ndr1_0 ) )
    & ( hskp4
      | ! [X96] :
          ( ~ c2_1(X96)
          | c3_1(X96)
          | c0_1(X96)
          | ~ ndr1_0 )
      | ! [X97] :
          ( ~ c2_1(X97)
          | c1_1(X97)
          | c0_1(X97)
          | ~ ndr1_0 ) )
    & ( ! [X98] :
          ( ~ c1_1(X98)
          | c3_1(X98)
          | c2_1(X98)
          | ~ ndr1_0 )
      | ! [X99] :
          ( ~ c3_1(X99)
          | c1_1(X99)
          | c0_1(X99)
          | ~ ndr1_0 )
      | ! [X100] :
          ( ~ c2_1(X100)
          | c1_1(X100)
          | c0_1(X100)
          | ~ ndr1_0 ) )
    & ( ! [X101] :
          ( ~ c3_1(X101)
          | ~ c2_1(X101)
          | c0_1(X101)
          | ~ ndr1_0 )
      | ! [X102] :
          ( ~ c3_1(X102)
          | c1_1(X102)
          | c0_1(X102)
          | ~ ndr1_0 )
      | ! [X103] :
          ( ~ c2_1(X103)
          | c1_1(X103)
          | c0_1(X103)
          | ~ ndr1_0 ) )
    & ( hskp3
      | ! [X104] :
          ( ~ c3_1(X104)
          | ~ c0_1(X104)
          | c2_1(X104)
          | ~ ndr1_0 )
      | ! [X105] :
          ( c3_1(X105)
          | c1_1(X105)
          | c0_1(X105)
          | ~ ndr1_0 ) )
    & ( ! [X106] :
          ( ~ c3_1(X106)
          | ~ c1_1(X106)
          | ~ c0_1(X106)
          | ~ ndr1_0 )
      | ! [X107] :
          ( ~ c3_1(X107)
          | ~ c2_1(X107)
          | c0_1(X107)
          | ~ ndr1_0 )
      | ! [X108] :
          ( c3_1(X108)
          | c1_1(X108)
          | c0_1(X108)
          | ~ ndr1_0 ) )
    & ( hskp29
      | ! [X109] :
          ( c3_1(X109)
          | c2_1(X109)
          | c0_1(X109)
          | ~ ndr1_0 )
      | ! [X110] :
          ( c3_1(X110)
          | c1_1(X110)
          | c0_1(X110)
          | ~ ndr1_0 ) )
    & ( ! [X111] :
          ( ~ c3_1(X111)
          | ~ c2_1(X111)
          | ~ c0_1(X111)
          | ~ ndr1_0 )
      | ! [X112] :
          ( ~ c2_1(X112)
          | c1_1(X112)
          | c0_1(X112)
          | ~ ndr1_0 )
      | ! [X113] :
          ( c3_1(X113)
          | c1_1(X113)
          | c0_1(X113)
          | ~ ndr1_0 ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( c2_1(X114)
          | c1_1(X114)
          | c0_1(X114)
          | ~ ndr1_0 ) )
    & ( hskp0
      | hskp28
      | ! [X115] :
          ( c2_1(X115)
          | c1_1(X115)
          | c0_1(X115)
          | ~ ndr1_0 ) )
    & ( ( c3_1(a723)
        & c1_1(a723)
        & c0_1(a723)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a714)
        & c2_1(a714)
        & c0_1(a714)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a709)
        & c2_1(a709)
        & c1_1(a709)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a705)
        & c1_1(a705)
        & c0_1(a705)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a780)
        & ~ c1_1(a780)
        & c2_1(a780)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a773)
        & c1_1(a773)
        & c0_1(a773)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a762)
        & c3_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a757)
        & c1_1(a757)
        & c0_1(a757)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a756)
        & c2_1(a756)
        & c1_1(a756)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a748)
        & c3_1(a748)
        & c2_1(a748)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a747)
        & ~ c2_1(a747)
        & c1_1(a747)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a739)
        & c3_1(a739)
        & c2_1(a739)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a734)
        & ~ c1_1(a734)
        & ~ c0_1(a734)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a732)
        & c3_1(a732)
        & c0_1(a732)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a731)
        & ~ c0_1(a731)
        & c2_1(a731)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a730)
        & c3_1(a730)
        & c1_1(a730)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a727)
        & ~ c0_1(a727)
        & c3_1(a727)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a725)
        & ~ c0_1(a725)
        & c2_1(a725)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a721)
        & ~ c0_1(a721)
        & c3_1(a721)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a720)
        & ~ c1_1(a720)
        & c3_1(a720)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a719)
        & c2_1(a719)
        & c1_1(a719)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a718)
        & ~ c0_1(a718)
        & c1_1(a718)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a717)
        & ~ c2_1(a717)
        & c0_1(a717)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a716)
        & c2_1(a716)
        & c0_1(a716)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a713)
        & ~ c2_1(a713)
        & ~ c0_1(a713)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a711)
        & ~ c1_1(a711)
        & c0_1(a711)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c1_1(a710)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a708)
        & ~ c0_1(a708)
        & c1_1(a708)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a707)
        & ~ c1_1(a707)
        & c0_1(a707)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a706)
        & ~ c1_1(a706)
        & ~ c0_1(a706)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(ennf_transformation,[],[f4]) ).

fof(f4,plain,
    ( ( hskp5
      | hskp11
      | hskp18 )
    & ( hskp11
      | hskp8
      | hskp22 )
    & ( hskp18
      | hskp20
      | hskp9 )
    & ( hskp10
      | hskp18
      | hskp29 )
    & ( hskp8
      | hskp14
      | hskp7 )
    & ( hskp2
      | hskp1
      | hskp24 )
    & ( hskp4
      | hskp24
      | hskp16 )
    & ( hskp18
      | hskp8
      | hskp6 )
    & ( hskp21
      | hskp1
      | hskp6 )
    & ( hskp12
      | hskp18
      | hskp25 )
    & ( hskp9
      | hskp29
      | hskp25 )
    & ( hskp17
      | hskp30
      | hskp23 )
    & ( hskp0
      | hskp8
      | ! [X0] :
          ( ndr1_0
         => ( ~ c2_1(X0)
            | ~ c1_1(X0)
            | c3_1(X0) ) ) )
    & ( hskp1
      | hskp31
      | ! [X1] :
          ( ndr1_0
         => ( ~ c2_1(X1)
            | ~ c0_1(X1)
            | c3_1(X1) ) ) )
    & ( hskp27
      | hskp7
      | ! [X2] :
          ( ndr1_0
         => ( ~ c1_1(X2)
            | ~ c0_1(X2)
            | c3_1(X2) ) ) )
    & ( hskp2
      | ! [X3] :
          ( ndr1_0
         => ( ~ c3_1(X3)
            | ~ c2_1(X3)
            | ~ c0_1(X3) ) )
      | ! [X4] :
          ( ndr1_0
         => ( ~ c1_1(X4)
            | ~ c0_1(X4)
            | c3_1(X4) ) ) )
    & ( hskp8
      | hskp19
      | ! [X5] :
          ( ndr1_0
         => ( ~ c1_1(X5)
            | ~ c0_1(X5)
            | c2_1(X5) ) ) )
    & ( hskp17
      | hskp16
      | ! [X6] :
          ( ndr1_0
         => ( ~ c1_1(X6)
            | ~ c0_1(X6)
            | c2_1(X6) ) ) )
    & ( hskp27
      | hskp31
      | ! [X7] :
          ( ndr1_0
         => ( ~ c1_1(X7)
            | ~ c0_1(X7)
            | c2_1(X7) ) ) )
    & ( hskp31
      | hskp28
      | ! [X8] :
          ( ndr1_0
         => ( ~ c1_1(X8)
            | ~ c0_1(X8)
            | c2_1(X8) ) ) )
    & ( ! [X9] :
          ( ndr1_0
         => ( ~ c2_1(X9)
            | ~ c0_1(X9)
            | c3_1(X9) ) )
      | ! [X10] :
          ( ndr1_0
         => ( ~ c1_1(X10)
            | ~ c0_1(X10)
            | c3_1(X10) ) )
      | ! [X11] :
          ( ndr1_0
         => ( ~ c1_1(X11)
            | ~ c0_1(X11)
            | c2_1(X11) ) ) )
    & ( hskp13
      | hskp29
      | ! [X12] :
          ( ndr1_0
         => ( ~ c1_1(X12)
            | c3_1(X12)
            | c2_1(X12) ) ) )
    & ( hskp11
      | hskp26
      | ! [X13] :
          ( ndr1_0
         => ( ~ c1_1(X13)
            | c3_1(X13)
            | c2_1(X13) ) ) )
    & ( hskp16
      | ! [X14] :
          ( ndr1_0
         => ( ~ c1_1(X14)
            | ~ c0_1(X14)
            | c3_1(X14) ) )
      | ! [X15] :
          ( ndr1_0
         => ( ~ c0_1(X15)
            | c3_1(X15)
            | c2_1(X15) ) ) )
    & ( hskp22
      | hskp30
      | ! [X16] :
          ( ndr1_0
         => ( ~ c3_1(X16)
            | ~ c2_1(X16)
            | c1_1(X16) ) ) )
    & ( hskp14
      | ! [X17] :
          ( ndr1_0
         => ( ~ c1_1(X17)
            | ~ c0_1(X17)
            | c2_1(X17) ) )
      | ! [X18] :
          ( ndr1_0
         => ( ~ c3_1(X18)
            | ~ c2_1(X18)
            | c1_1(X18) ) ) )
    & ( hskp5
      | hskp0
      | ! [X19] :
          ( ndr1_0
         => ( ~ c3_1(X19)
            | ~ c0_1(X19)
            | c1_1(X19) ) ) )
    & ( hskp5
      | hskp29
      | ! [X20] :
          ( ndr1_0
         => ( ~ c3_1(X20)
            | ~ c0_1(X20)
            | c1_1(X20) ) ) )
    & ( hskp25
      | ! [X21] :
          ( ndr1_0
         => ( ~ c3_1(X21)
            | ~ c2_1(X21)
            | ~ c0_1(X21) ) )
      | ! [X22] :
          ( ndr1_0
         => ( ~ c3_1(X22)
            | ~ c0_1(X22)
            | c1_1(X22) ) ) )
    & ( hskp18
      | hskp24
      | ! [X23] :
          ( ndr1_0
         => ( ~ c2_1(X23)
            | c3_1(X23)
            | c1_1(X23) ) ) )
    & ( hskp13
      | ! [X24] :
          ( ndr1_0
         => ( ~ c0_1(X24)
            | c3_1(X24)
            | c2_1(X24) ) )
      | ! [X25] :
          ( ndr1_0
         => ( ~ c2_1(X25)
            | c3_1(X25)
            | c1_1(X25) ) ) )
    & ( hskp4
      | ! [X26] :
          ( ndr1_0
         => ( ~ c3_1(X26)
            | ~ c2_1(X26)
            | ~ c0_1(X26) ) )
      | ! [X27] :
          ( ndr1_0
         => ( ~ c0_1(X27)
            | c3_1(X27)
            | c1_1(X27) ) ) )
    & ( hskp17
      | hskp14
      | ! [X28] :
          ( ndr1_0
         => ( ~ c3_1(X28)
            | c2_1(X28)
            | c1_1(X28) ) ) )
    & ( ! [X29] :
          ( ndr1_0
         => ( ~ c2_1(X29)
            | ~ c1_1(X29)
            | c3_1(X29) ) )
      | ! [X30] :
          ( ndr1_0
         => ( ~ c3_1(X30)
            | c2_1(X30)
            | c1_1(X30) ) ) )
    & ( hskp23
      | ! [X31] :
          ( ndr1_0
         => ( ~ c3_1(X31)
            | ~ c0_1(X31)
            | c1_1(X31) ) )
      | ! [X32] :
          ( ndr1_0
         => ( ~ c3_1(X32)
            | c2_1(X32)
            | c1_1(X32) ) ) )
    & ( hskp22
      | hskp16
      | ! [X33] :
          ( ndr1_0
         => ( ~ c0_1(X33)
            | c2_1(X33)
            | c1_1(X33) ) ) )
    & ( hskp13
      | hskp6
      | ! [X34] :
          ( ndr1_0
         => ( ~ c0_1(X34)
            | c2_1(X34)
            | c1_1(X34) ) ) )
    & ( hskp18
      | hskp30
      | ! [X35] :
          ( ndr1_0
         => ( ~ c0_1(X35)
            | c2_1(X35)
            | c1_1(X35) ) ) )
    & ( hskp17
      | ! [X36] :
          ( ndr1_0
         => ( ~ c2_1(X36)
            | c3_1(X36)
            | c1_1(X36) ) )
      | ! [X37] :
          ( ndr1_0
         => ( c3_1(X37)
            | c2_1(X37)
            | c1_1(X37) ) ) )
    & ( ! [X38] :
          ( ndr1_0
         => ( ~ c1_1(X38)
            | c3_1(X38)
            | c2_1(X38) ) )
      | ! [X39] :
          ( ndr1_0
         => ( ~ c0_1(X39)
            | c3_1(X39)
            | c1_1(X39) ) )
      | ! [X40] :
          ( ndr1_0
         => ( c3_1(X40)
            | c2_1(X40)
            | c1_1(X40) ) ) )
    & ( hskp17
      | hskp21
      | ! [X41] :
          ( ndr1_0
         => ( ~ c3_1(X41)
            | ~ c2_1(X41)
            | c0_1(X41) ) ) )
    & ( ! [X42] :
          ( ndr1_0
         => ( ~ c2_1(X42)
            | ~ c1_1(X42)
            | ~ c0_1(X42) ) )
      | ! [X43] :
          ( ndr1_0
         => ( ~ c2_1(X43)
            | ~ c0_1(X43)
            | c3_1(X43) ) )
      | ! [X44] :
          ( ndr1_0
         => ( ~ c3_1(X44)
            | ~ c2_1(X44)
            | c0_1(X44) ) ) )
    & ( hskp20
      | ! [X45] :
          ( ndr1_0
         => ( ~ c1_1(X45)
            | c3_1(X45)
            | c2_1(X45) ) )
      | ! [X46] :
          ( ndr1_0
         => ( ~ c3_1(X46)
            | ~ c2_1(X46)
            | c0_1(X46) ) ) )
    & ( hskp17
      | hskp18
      | ! [X47] :
          ( ndr1_0
         => ( ~ c3_1(X47)
            | ~ c1_1(X47)
            | c0_1(X47) ) ) )
    & ( hskp8
      | hskp1
      | ! [X48] :
          ( ndr1_0
         => ( ~ c3_1(X48)
            | ~ c1_1(X48)
            | c0_1(X48) ) ) )
    & ( hskp28
      | ! [X49] :
          ( ndr1_0
         => ( ~ c3_1(X49)
            | ~ c2_1(X49)
            | ~ c0_1(X49) ) )
      | ! [X50] :
          ( ndr1_0
         => ( ~ c3_1(X50)
            | ~ c1_1(X50)
            | c0_1(X50) ) ) )
    & ( hskp19
      | ! [X51] :
          ( ndr1_0
         => ( ~ c3_1(X51)
            | ~ c1_1(X51)
            | ~ c0_1(X51) ) )
      | ! [X52] :
          ( ndr1_0
         => ( ~ c3_1(X52)
            | ~ c1_1(X52)
            | c0_1(X52) ) ) )
    & ( hskp2
      | ! [X53] :
          ( ndr1_0
         => ( ~ c3_1(X53)
            | ~ c0_1(X53)
            | c1_1(X53) ) )
      | ! [X54] :
          ( ndr1_0
         => ( ~ c3_1(X54)
            | ~ c1_1(X54)
            | c0_1(X54) ) ) )
    & ( hskp18
      | hskp28
      | ! [X55] :
          ( ndr1_0
         => ( ~ c2_1(X55)
            | ~ c1_1(X55)
            | c0_1(X55) ) ) )
    & ( hskp3
      | hskp4
      | ! [X56] :
          ( ndr1_0
         => ( ~ c2_1(X56)
            | c3_1(X56)
            | c0_1(X56) ) ) )
    & ( hskp29
      | ! [X57] :
          ( ndr1_0
         => ( ~ c3_1(X57)
            | ~ c2_1(X57)
            | c1_1(X57) ) )
      | ! [X58] :
          ( ndr1_0
         => ( ~ c2_1(X58)
            | c3_1(X58)
            | c0_1(X58) ) ) )
    & ( hskp17
      | hskp15
      | ! [X59] :
          ( ndr1_0
         => ( ~ c1_1(X59)
            | c3_1(X59)
            | c0_1(X59) ) ) )
    & ( hskp16
      | ! [X60] :
          ( ndr1_0
         => ( ~ c3_1(X60)
            | ~ c0_1(X60)
            | c2_1(X60) ) )
      | ! [X61] :
          ( ndr1_0
         => ( ~ c1_1(X61)
            | c3_1(X61)
            | c0_1(X61) ) ) )
    & ( hskp15
      | hskp14
      | ! [X62] :
          ( ndr1_0
         => ( ~ c3_1(X62)
            | c2_1(X62)
            | c0_1(X62) ) ) )
    & ( hskp7
      | hskp30
      | ! [X63] :
          ( ndr1_0
         => ( ~ c3_1(X63)
            | c2_1(X63)
            | c0_1(X63) ) ) )
    & ( hskp13
      | hskp8
      | ! [X64] :
          ( ndr1_0
         => ( ~ c1_1(X64)
            | c2_1(X64)
            | c0_1(X64) ) ) )
    & ( hskp12
      | hskp1
      | ! [X65] :
          ( ndr1_0
         => ( ~ c1_1(X65)
            | c2_1(X65)
            | c0_1(X65) ) ) )
    & ( hskp31
      | ! [X66] :
          ( ndr1_0
         => ( ~ c3_1(X66)
            | ~ c1_1(X66)
            | ~ c0_1(X66) ) )
      | ! [X67] :
          ( ndr1_0
         => ( ~ c1_1(X67)
            | c2_1(X67)
            | c0_1(X67) ) ) )
    & ( hskp28
      | ! [X68] :
          ( ndr1_0
         => ( ~ c1_1(X68)
            | ~ c0_1(X68)
            | c3_1(X68) ) )
      | ! [X69] :
          ( ndr1_0
         => ( ~ c1_1(X69)
            | c2_1(X69)
            | c0_1(X69) ) ) )
    & ( hskp11
      | ! [X70] :
          ( ndr1_0
         => ( ~ c3_1(X70)
            | ~ c2_1(X70)
            | c1_1(X70) ) )
      | ! [X71] :
          ( ndr1_0
         => ( ~ c1_1(X71)
            | c2_1(X71)
            | c0_1(X71) ) ) )
    & ( ! [X72] :
          ( ndr1_0
         => ( ~ c2_1(X72)
            | ~ c1_1(X72)
            | ~ c0_1(X72) ) )
      | ! [X73] :
          ( ndr1_0
         => ( ~ c3_1(X73)
            | ~ c2_1(X73)
            | c1_1(X73) ) )
      | ! [X74] :
          ( ndr1_0
         => ( ~ c1_1(X74)
            | c2_1(X74)
            | c0_1(X74) ) ) )
    & ( ! [X75] :
          ( ndr1_0
         => ( ~ c3_1(X75)
            | c2_1(X75)
            | c1_1(X75) ) )
      | ! [X76] :
          ( ndr1_0
         => ( ~ c0_1(X76)
            | c2_1(X76)
            | c1_1(X76) ) )
      | ! [X77] :
          ( ndr1_0
         => ( ~ c1_1(X77)
            | c2_1(X77)
            | c0_1(X77) ) ) )
    & ( hskp10
      | hskp9
      | ! [X78] :
          ( ndr1_0
         => ( c3_1(X78)
            | c2_1(X78)
            | c0_1(X78) ) ) )
    & ( ! [X79] :
          ( ndr1_0
         => ( ~ c3_1(X79)
            | ~ c2_1(X79)
            | ~ c0_1(X79) ) )
      | ! [X80] :
          ( ndr1_0
         => ( ~ c0_1(X80)
            | c2_1(X80)
            | c1_1(X80) ) )
      | ! [X81] :
          ( ndr1_0
         => ( c3_1(X81)
            | c2_1(X81)
            | c0_1(X81) ) ) )
    & ( hskp8
      | hskp7
      | ! [X82] :
          ( ndr1_0
         => ( ~ c3_1(X82)
            | c1_1(X82)
            | c0_1(X82) ) ) )
    & ( hskp6
      | ! [X83] :
          ( ndr1_0
         => ( ~ c3_1(X83)
            | ~ c1_1(X83)
            | c2_1(X83) ) )
      | ! [X84] :
          ( ndr1_0
         => ( ~ c3_1(X84)
            | c1_1(X84)
            | c0_1(X84) ) ) )
    & ( hskp29
      | ! [X85] :
          ( ndr1_0
         => ( ~ c0_1(X85)
            | c3_1(X85)
            | c2_1(X85) ) )
      | ! [X86] :
          ( ndr1_0
         => ( ~ c3_1(X86)
            | c1_1(X86)
            | c0_1(X86) ) ) )
    & ( hskp30
      | ! [X87] :
          ( ndr1_0
         => ( ~ c2_1(X87)
            | ~ c0_1(X87)
            | c1_1(X87) ) )
      | ! [X88] :
          ( ndr1_0
         => ( ~ c3_1(X88)
            | c1_1(X88)
            | c0_1(X88) ) ) )
    & ( ! [X89] :
          ( ndr1_0
         => ( ~ c2_1(X89)
            | ~ c0_1(X89)
            | c3_1(X89) ) )
      | ! [X90] :
          ( ndr1_0
         => ( c3_1(X90)
            | c2_1(X90)
            | c0_1(X90) ) )
      | ! [X91] :
          ( ndr1_0
         => ( ~ c3_1(X91)
            | c1_1(X91)
            | c0_1(X91) ) ) )
    & ( hskp5
      | hskp4
      | ! [X92] :
          ( ndr1_0
         => ( ~ c2_1(X92)
            | c1_1(X92)
            | c0_1(X92) ) ) )
    & ( ! [X93] :
          ( ndr1_0
         => ( ~ c3_1(X93)
            | ~ c2_1(X93)
            | ~ c1_1(X93) ) )
      | ! [X94] :
          ( ndr1_0
         => ( ~ c3_1(X94)
            | ~ c2_1(X94)
            | c1_1(X94) ) )
      | ! [X95] :
          ( ndr1_0
         => ( ~ c2_1(X95)
            | c1_1(X95)
            | c0_1(X95) ) ) )
    & ( hskp4
      | ! [X96] :
          ( ndr1_0
         => ( ~ c2_1(X96)
            | c3_1(X96)
            | c0_1(X96) ) )
      | ! [X97] :
          ( ndr1_0
         => ( ~ c2_1(X97)
            | c1_1(X97)
            | c0_1(X97) ) ) )
    & ( ! [X98] :
          ( ndr1_0
         => ( ~ c1_1(X98)
            | c3_1(X98)
            | c2_1(X98) ) )
      | ! [X99] :
          ( ndr1_0
         => ( ~ c3_1(X99)
            | c1_1(X99)
            | c0_1(X99) ) )
      | ! [X100] :
          ( ndr1_0
         => ( ~ c2_1(X100)
            | c1_1(X100)
            | c0_1(X100) ) ) )
    & ( ! [X101] :
          ( ndr1_0
         => ( ~ c3_1(X101)
            | ~ c2_1(X101)
            | c0_1(X101) ) )
      | ! [X102] :
          ( ndr1_0
         => ( ~ c3_1(X102)
            | c1_1(X102)
            | c0_1(X102) ) )
      | ! [X103] :
          ( ndr1_0
         => ( ~ c2_1(X103)
            | c1_1(X103)
            | c0_1(X103) ) ) )
    & ( hskp3
      | ! [X104] :
          ( ndr1_0
         => ( ~ c3_1(X104)
            | ~ c0_1(X104)
            | c2_1(X104) ) )
      | ! [X105] :
          ( ndr1_0
         => ( c3_1(X105)
            | c1_1(X105)
            | c0_1(X105) ) ) )
    & ( ! [X106] :
          ( ndr1_0
         => ( ~ c3_1(X106)
            | ~ c1_1(X106)
            | ~ c0_1(X106) ) )
      | ! [X107] :
          ( ndr1_0
         => ( ~ c3_1(X107)
            | ~ c2_1(X107)
            | c0_1(X107) ) )
      | ! [X108] :
          ( ndr1_0
         => ( c3_1(X108)
            | c1_1(X108)
            | c0_1(X108) ) ) )
    & ( hskp29
      | ! [X109] :
          ( ndr1_0
         => ( c3_1(X109)
            | c2_1(X109)
            | c0_1(X109) ) )
      | ! [X110] :
          ( ndr1_0
         => ( c3_1(X110)
            | c1_1(X110)
            | c0_1(X110) ) ) )
    & ( ! [X111] :
          ( ndr1_0
         => ( ~ c3_1(X111)
            | ~ c2_1(X111)
            | ~ c0_1(X111) ) )
      | ! [X112] :
          ( ndr1_0
         => ( ~ c2_1(X112)
            | c1_1(X112)
            | c0_1(X112) ) )
      | ! [X113] :
          ( ndr1_0
         => ( c3_1(X113)
            | c1_1(X113)
            | c0_1(X113) ) ) )
    & ( hskp2
      | hskp1
      | ! [X114] :
          ( ndr1_0
         => ( c2_1(X114)
            | c1_1(X114)
            | c0_1(X114) ) ) )
    & ( hskp0
      | hskp28
      | ! [X115] :
          ( ndr1_0
         => ( c2_1(X115)
            | c1_1(X115)
            | c0_1(X115) ) ) )
    & ( ( c3_1(a723)
        & c1_1(a723)
        & c0_1(a723)
        & ndr1_0 )
      | ~ hskp31 )
    & ( ( c3_1(a714)
        & c2_1(a714)
        & c0_1(a714)
        & ndr1_0 )
      | ~ hskp30 )
    & ( ( c3_1(a709)
        & c2_1(a709)
        & c1_1(a709)
        & ndr1_0 )
      | ~ hskp29 )
    & ( ( c2_1(a705)
        & c1_1(a705)
        & c0_1(a705)
        & ndr1_0 )
      | ~ hskp28 )
    & ( ( ~ c3_1(a780)
        & ~ c1_1(a780)
        & c2_1(a780)
        & ndr1_0 )
      | ~ hskp27 )
    & ( ( ~ c3_1(a773)
        & c1_1(a773)
        & c0_1(a773)
        & ndr1_0 )
      | ~ hskp26 )
    & ( ( ~ c1_1(a764)
        & c2_1(a764)
        & c0_1(a764)
        & ndr1_0 )
      | ~ hskp25 )
    & ( ( ~ c2_1(a762)
        & c3_1(a762)
        & c0_1(a762)
        & ndr1_0 )
      | ~ hskp24 )
    & ( ( ~ c2_1(a757)
        & c1_1(a757)
        & c0_1(a757)
        & ndr1_0 )
      | ~ hskp23 )
    & ( ( ~ c3_1(a756)
        & c2_1(a756)
        & c1_1(a756)
        & ndr1_0 )
      | ~ hskp22 )
    & ( ( ~ c0_1(a748)
        & c3_1(a748)
        & c2_1(a748)
        & ndr1_0 )
      | ~ hskp21 )
    & ( ( ~ c3_1(a747)
        & ~ c2_1(a747)
        & c1_1(a747)
        & ndr1_0 )
      | ~ hskp20 )
    & ( ( ~ c0_1(a741)
        & c3_1(a741)
        & c1_1(a741)
        & ndr1_0 )
      | ~ hskp19 )
    & ( ( ~ c1_1(a739)
        & c3_1(a739)
        & c2_1(a739)
        & ndr1_0 )
      | ~ hskp18 )
    & ( ( ~ c3_1(a734)
        & ~ c1_1(a734)
        & ~ c0_1(a734)
        & ndr1_0 )
      | ~ hskp17 )
    & ( ( ~ c1_1(a732)
        & c3_1(a732)
        & c0_1(a732)
        & ndr1_0 )
      | ~ hskp16 )
    & ( ( ~ c3_1(a731)
        & ~ c0_1(a731)
        & c2_1(a731)
        & ndr1_0 )
      | ~ hskp15 )
    & ( ( ~ c2_1(a730)
        & c3_1(a730)
        & c1_1(a730)
        & ndr1_0 )
      | ~ hskp14 )
    & ( ( ~ c2_1(a727)
        & ~ c0_1(a727)
        & c3_1(a727)
        & ndr1_0 )
      | ~ hskp13 )
    & ( ( ~ c1_1(a725)
        & ~ c0_1(a725)
        & c2_1(a725)
        & ndr1_0 )
      | ~ hskp12 )
    & ( ( ~ c1_1(a721)
        & ~ c0_1(a721)
        & c3_1(a721)
        & ndr1_0 )
      | ~ hskp11 )
    & ( ( ~ c2_1(a720)
        & ~ c1_1(a720)
        & c3_1(a720)
        & ndr1_0 )
      | ~ hskp10 )
    & ( ( ~ c0_1(a719)
        & c2_1(a719)
        & c1_1(a719)
        & ndr1_0 )
      | ~ hskp9 )
    & ( ( ~ c2_1(a718)
        & ~ c0_1(a718)
        & c1_1(a718)
        & ndr1_0 )
      | ~ hskp8 )
    & ( ( ~ c3_1(a717)
        & ~ c2_1(a717)
        & c0_1(a717)
        & ndr1_0 )
      | ~ hskp7 )
    & ( ( ~ c3_1(a716)
        & c2_1(a716)
        & c0_1(a716)
        & ndr1_0 )
      | ~ hskp6 )
    & ( ( ~ c3_1(a713)
        & ~ c2_1(a713)
        & ~ c0_1(a713)
        & ndr1_0 )
      | ~ hskp5 )
    & ( ( ~ c3_1(a711)
        & ~ c1_1(a711)
        & c0_1(a711)
        & ndr1_0 )
      | ~ hskp4 )
    & ( ( ~ c3_1(a710)
        & ~ c2_1(a710)
        & ~ c1_1(a710)
        & ndr1_0 )
      | ~ hskp3 )
    & ( ( ~ c3_1(a708)
        & ~ c0_1(a708)
        & c1_1(a708)
        & ndr1_0 )
      | ~ hskp2 )
    & ( ( ~ c2_1(a707)
        & ~ c1_1(a707)
        & c0_1(a707)
        & ndr1_0 )
      | ~ hskp1 )
    & ( ( ~ c2_1(a706)
        & ~ c1_1(a706)
        & ~ c0_1(a706)
        & ndr1_0 )
      | ~ hskp0 ) ),
    inference(flattening,[],[f3]) ).

fof(f3,plain,
    ~ ~ ( ( hskp5
          | hskp11
          | hskp18 )
        & ( hskp11
          | hskp8
          | hskp22 )
        & ( hskp18
          | hskp20
          | hskp9 )
        & ( hskp10
          | hskp18
          | hskp29 )
        & ( hskp8
          | hskp14
          | hskp7 )
        & ( hskp2
          | hskp1
          | hskp24 )
        & ( hskp4
          | hskp24
          | hskp16 )
        & ( hskp18
          | hskp8
          | hskp6 )
        & ( hskp21
          | hskp1
          | hskp6 )
        & ( hskp12
          | hskp18
          | hskp25 )
        & ( hskp9
          | hskp29
          | hskp25 )
        & ( hskp17
          | hskp30
          | hskp23 )
        & ( hskp0
          | hskp8
          | ! [X0] :
              ( ndr1_0
             => ( ~ c2_1(X0)
                | ~ c1_1(X0)
                | c3_1(X0) ) ) )
        & ( hskp1
          | hskp31
          | ! [X1] :
              ( ndr1_0
             => ( ~ c2_1(X1)
                | ~ c0_1(X1)
                | c3_1(X1) ) ) )
        & ( hskp27
          | hskp7
          | ! [X2] :
              ( ndr1_0
             => ( ~ c1_1(X2)
                | ~ c0_1(X2)
                | c3_1(X2) ) ) )
        & ( hskp2
          | ! [X3] :
              ( ndr1_0
             => ( ~ c3_1(X3)
                | ~ c2_1(X3)
                | ~ c0_1(X3) ) )
          | ! [X4] :
              ( ndr1_0
             => ( ~ c1_1(X4)
                | ~ c0_1(X4)
                | c3_1(X4) ) ) )
        & ( hskp8
          | hskp19
          | ! [X5] :
              ( ndr1_0
             => ( ~ c1_1(X5)
                | ~ c0_1(X5)
                | c2_1(X5) ) ) )
        & ( hskp17
          | hskp16
          | ! [X6] :
              ( ndr1_0
             => ( ~ c1_1(X6)
                | ~ c0_1(X6)
                | c2_1(X6) ) ) )
        & ( hskp27
          | hskp31
          | ! [X7] :
              ( ndr1_0
             => ( ~ c1_1(X7)
                | ~ c0_1(X7)
                | c2_1(X7) ) ) )
        & ( hskp31
          | hskp28
          | ! [X8] :
              ( ndr1_0
             => ( ~ c1_1(X8)
                | ~ c0_1(X8)
                | c2_1(X8) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c2_1(X9)
                | ~ c0_1(X9)
                | c3_1(X9) ) )
          | ! [X10] :
              ( ndr1_0
             => ( ~ c1_1(X10)
                | ~ c0_1(X10)
                | c3_1(X10) ) )
          | ! [X11] :
              ( ndr1_0
             => ( ~ c1_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) ) )
        & ( hskp13
          | hskp29
          | ! [X12] :
              ( ndr1_0
             => ( ~ c1_1(X12)
                | c3_1(X12)
                | c2_1(X12) ) ) )
        & ( hskp11
          | hskp26
          | ! [X13] :
              ( ndr1_0
             => ( ~ c1_1(X13)
                | c3_1(X13)
                | c2_1(X13) ) ) )
        & ( hskp16
          | ! [X14] :
              ( ndr1_0
             => ( ~ c1_1(X14)
                | ~ c0_1(X14)
                | c3_1(X14) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c0_1(X15)
                | c3_1(X15)
                | c2_1(X15) ) ) )
        & ( hskp22
          | hskp30
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | ~ c2_1(X16)
                | c1_1(X16) ) ) )
        & ( hskp14
          | ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | ~ c0_1(X17)
                | c2_1(X17) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c3_1(X18)
                | ~ c2_1(X18)
                | c1_1(X18) ) ) )
        & ( hskp5
          | hskp0
          | ! [X19] :
              ( ndr1_0
             => ( ~ c3_1(X19)
                | ~ c0_1(X19)
                | c1_1(X19) ) ) )
        & ( hskp5
          | hskp29
          | ! [X20] :
              ( ndr1_0
             => ( ~ c3_1(X20)
                | ~ c0_1(X20)
                | c1_1(X20) ) ) )
        & ( hskp25
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | ~ c0_1(X21) ) )
          | ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c0_1(X22)
                | c1_1(X22) ) ) )
        & ( hskp18
          | hskp24
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c3_1(X23)
                | c1_1(X23) ) ) )
        & ( hskp13
          | ! [X24] :
              ( ndr1_0
             => ( ~ c0_1(X24)
                | c3_1(X24)
                | c2_1(X24) ) )
          | ! [X25] :
              ( ndr1_0
             => ( ~ c2_1(X25)
                | c3_1(X25)
                | c1_1(X25) ) ) )
        & ( hskp4
          | ! [X26] :
              ( ndr1_0
             => ( ~ c3_1(X26)
                | ~ c2_1(X26)
                | ~ c0_1(X26) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c0_1(X27)
                | c3_1(X27)
                | c1_1(X27) ) ) )
        & ( hskp17
          | hskp14
          | ! [X28] :
              ( ndr1_0
             => ( ~ c3_1(X28)
                | c2_1(X28)
                | c1_1(X28) ) ) )
        & ( ! [X29] :
              ( ndr1_0
             => ( ~ c2_1(X29)
                | ~ c1_1(X29)
                | c3_1(X29) ) )
          | ! [X30] :
              ( ndr1_0
             => ( ~ c3_1(X30)
                | c2_1(X30)
                | c1_1(X30) ) ) )
        & ( hskp23
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | ~ c0_1(X31)
                | c1_1(X31) ) )
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | c2_1(X32)
                | c1_1(X32) ) ) )
        & ( hskp22
          | hskp16
          | ! [X33] :
              ( ndr1_0
             => ( ~ c0_1(X33)
                | c2_1(X33)
                | c1_1(X33) ) ) )
        & ( hskp13
          | hskp6
          | ! [X34] :
              ( ndr1_0
             => ( ~ c0_1(X34)
                | c2_1(X34)
                | c1_1(X34) ) ) )
        & ( hskp18
          | hskp30
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) ) )
        & ( hskp17
          | ! [X36] :
              ( ndr1_0
             => ( ~ c2_1(X36)
                | c3_1(X36)
                | c1_1(X36) ) )
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c1_1(X37) ) ) )
        & ( ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c3_1(X38)
                | c2_1(X38) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c3_1(X39)
                | c1_1(X39) ) )
          | ! [X40] :
              ( ndr1_0
             => ( c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) ) )
        & ( hskp17
          | hskp21
          | ! [X41] :
              ( ndr1_0
             => ( ~ c3_1(X41)
                | ~ c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X42] :
              ( ndr1_0
             => ( ~ c2_1(X42)
                | ~ c1_1(X42)
                | ~ c0_1(X42) ) )
          | ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c0_1(X43)
                | c3_1(X43) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c3_1(X44)
                | ~ c2_1(X44)
                | c0_1(X44) ) ) )
        & ( hskp20
          | ! [X45] :
              ( ndr1_0
             => ( ~ c1_1(X45)
                | c3_1(X45)
                | c2_1(X45) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c3_1(X46)
                | ~ c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp17
          | hskp18
          | ! [X47] :
              ( ndr1_0
             => ( ~ c3_1(X47)
                | ~ c1_1(X47)
                | c0_1(X47) ) ) )
        & ( hskp8
          | hskp1
          | ! [X48] :
              ( ndr1_0
             => ( ~ c3_1(X48)
                | ~ c1_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp28
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c2_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X50] :
              ( ndr1_0
             => ( ~ c3_1(X50)
                | ~ c1_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp19
          | ! [X51] :
              ( ndr1_0
             => ( ~ c3_1(X51)
                | ~ c1_1(X51)
                | ~ c0_1(X51) ) )
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | ~ c1_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp2
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | ~ c0_1(X53)
                | c1_1(X53) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c3_1(X54)
                | ~ c1_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp18
          | hskp28
          | ! [X55] :
              ( ndr1_0
             => ( ~ c2_1(X55)
                | ~ c1_1(X55)
                | c0_1(X55) ) ) )
        & ( hskp3
          | hskp4
          | ! [X56] :
              ( ndr1_0
             => ( ~ c2_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp29
          | ! [X57] :
              ( ndr1_0
             => ( ~ c3_1(X57)
                | ~ c2_1(X57)
                | c1_1(X57) ) )
          | ! [X58] :
              ( ndr1_0
             => ( ~ c2_1(X58)
                | c3_1(X58)
                | c0_1(X58) ) ) )
        & ( hskp17
          | hskp15
          | ! [X59] :
              ( ndr1_0
             => ( ~ c1_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp16
          | ! [X60] :
              ( ndr1_0
             => ( ~ c3_1(X60)
                | ~ c0_1(X60)
                | c2_1(X60) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c1_1(X61)
                | c3_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp15
          | hskp14
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | c2_1(X62)
                | c0_1(X62) ) ) )
        & ( hskp7
          | hskp30
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | c2_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp13
          | hskp8
          | ! [X64] :
              ( ndr1_0
             => ( ~ c1_1(X64)
                | c2_1(X64)
                | c0_1(X64) ) ) )
        & ( hskp12
          | hskp1
          | ! [X65] :
              ( ndr1_0
             => ( ~ c1_1(X65)
                | c2_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp31
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c1_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X67] :
              ( ndr1_0
             => ( ~ c1_1(X67)
                | c2_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp28
          | ! [X68] :
              ( ndr1_0
             => ( ~ c1_1(X68)
                | ~ c0_1(X68)
                | c3_1(X68) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c1_1(X69)
                | c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp11
          | ! [X70] :
              ( ndr1_0
             => ( ~ c3_1(X70)
                | ~ c2_1(X70)
                | c1_1(X70) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c1_1(X71)
                | c2_1(X71)
                | c0_1(X71) ) ) )
        & ( ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c1_1(X72)
                | ~ c0_1(X72) ) )
          | ! [X73] :
              ( ndr1_0
             => ( ~ c3_1(X73)
                | ~ c2_1(X73)
                | c1_1(X73) ) )
          | ! [X74] :
              ( ndr1_0
             => ( ~ c1_1(X74)
                | c2_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X75] :
              ( ndr1_0
             => ( ~ c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c2_1(X76)
                | c1_1(X76) ) )
          | ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c2_1(X77)
                | c0_1(X77) ) ) )
        & ( hskp10
          | hskp9
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c2_1(X78)
                | c0_1(X78) ) ) )
        & ( ! [X79] :
              ( ndr1_0
             => ( ~ c3_1(X79)
                | ~ c2_1(X79)
                | ~ c0_1(X79) ) )
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) )
          | ! [X81] :
              ( ndr1_0
             => ( c3_1(X81)
                | c2_1(X81)
                | c0_1(X81) ) ) )
        & ( hskp8
          | hskp7
          | ! [X82] :
              ( ndr1_0
             => ( ~ c3_1(X82)
                | c1_1(X82)
                | c0_1(X82) ) ) )
        & ( hskp6
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | ~ c1_1(X83)
                | c2_1(X83) ) )
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | c1_1(X84)
                | c0_1(X84) ) ) )
        & ( hskp29
          | ! [X85] :
              ( ndr1_0
             => ( ~ c0_1(X85)
                | c3_1(X85)
                | c2_1(X85) ) )
          | ! [X86] :
              ( ndr1_0
             => ( ~ c3_1(X86)
                | c1_1(X86)
                | c0_1(X86) ) ) )
        & ( hskp30
          | ! [X87] :
              ( ndr1_0
             => ( ~ c2_1(X87)
                | ~ c0_1(X87)
                | c1_1(X87) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c3_1(X88)
                | c1_1(X88)
                | c0_1(X88) ) ) )
        & ( ! [X89] :
              ( ndr1_0
             => ( ~ c2_1(X89)
                | ~ c0_1(X89)
                | c3_1(X89) ) )
          | ! [X90] :
              ( ndr1_0
             => ( c3_1(X90)
                | c2_1(X90)
                | c0_1(X90) ) )
          | ! [X91] :
              ( ndr1_0
             => ( ~ c3_1(X91)
                | c1_1(X91)
                | c0_1(X91) ) ) )
        & ( hskp5
          | hskp4
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c1_1(X92)
                | c0_1(X92) ) ) )
        & ( ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c2_1(X93)
                | ~ c1_1(X93) ) )
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | c1_1(X94) ) )
          | ! [X95] :
              ( ndr1_0
             => ( ~ c2_1(X95)
                | c1_1(X95)
                | c0_1(X95) ) ) )
        & ( hskp4
          | ! [X96] :
              ( ndr1_0
             => ( ~ c2_1(X96)
                | c3_1(X96)
                | c0_1(X96) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c2_1(X97)
                | c1_1(X97)
                | c0_1(X97) ) ) )
        & ( ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | c3_1(X98)
                | c2_1(X98) ) )
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | c1_1(X99)
                | c0_1(X99) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c2_1(X100)
                | c1_1(X100)
                | c0_1(X100) ) ) )
        & ( ! [X101] :
              ( ndr1_0
             => ( ~ c3_1(X101)
                | ~ c2_1(X101)
                | c0_1(X101) ) )
          | ! [X102] :
              ( ndr1_0
             => ( ~ c3_1(X102)
                | c1_1(X102)
                | c0_1(X102) ) )
          | ! [X103] :
              ( ndr1_0
             => ( ~ c2_1(X103)
                | c1_1(X103)
                | c0_1(X103) ) ) )
        & ( hskp3
          | ! [X104] :
              ( ndr1_0
             => ( ~ c3_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) )
          | ! [X105] :
              ( ndr1_0
             => ( c3_1(X105)
                | c1_1(X105)
                | c0_1(X105) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c3_1(X106)
                | ~ c1_1(X106)
                | ~ c0_1(X106) ) )
          | ! [X107] :
              ( ndr1_0
             => ( ~ c3_1(X107)
                | ~ c2_1(X107)
                | c0_1(X107) ) )
          | ! [X108] :
              ( ndr1_0
             => ( c3_1(X108)
                | c1_1(X108)
                | c0_1(X108) ) ) )
        & ( hskp29
          | ! [X109] :
              ( ndr1_0
             => ( c3_1(X109)
                | c2_1(X109)
                | c0_1(X109) ) )
          | ! [X110] :
              ( ndr1_0
             => ( c3_1(X110)
                | c1_1(X110)
                | c0_1(X110) ) ) )
        & ( ! [X111] :
              ( ndr1_0
             => ( ~ c3_1(X111)
                | ~ c2_1(X111)
                | ~ c0_1(X111) ) )
          | ! [X112] :
              ( ndr1_0
             => ( ~ c2_1(X112)
                | c1_1(X112)
                | c0_1(X112) ) )
          | ! [X113] :
              ( ndr1_0
             => ( c3_1(X113)
                | c1_1(X113)
                | c0_1(X113) ) ) )
        & ( hskp2
          | hskp1
          | ! [X114] :
              ( ndr1_0
             => ( c2_1(X114)
                | c1_1(X114)
                | c0_1(X114) ) ) )
        & ( hskp0
          | hskp28
          | ! [X115] :
              ( ndr1_0
             => ( c2_1(X115)
                | c1_1(X115)
                | c0_1(X115) ) ) )
        & ( ( c3_1(a723)
            & c1_1(a723)
            & c0_1(a723)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a714)
            & c2_1(a714)
            & c0_1(a714)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a709)
            & c2_1(a709)
            & c1_1(a709)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a705)
            & c1_1(a705)
            & c0_1(a705)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a780)
            & ~ c1_1(a780)
            & c2_1(a780)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a773)
            & c1_1(a773)
            & c0_1(a773)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a764)
            & c2_1(a764)
            & c0_1(a764)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a762)
            & c3_1(a762)
            & c0_1(a762)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a757)
            & c1_1(a757)
            & c0_1(a757)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a756)
            & c2_1(a756)
            & c1_1(a756)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a748)
            & c3_1(a748)
            & c2_1(a748)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a747)
            & ~ c2_1(a747)
            & c1_1(a747)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a741)
            & c3_1(a741)
            & c1_1(a741)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a739)
            & c3_1(a739)
            & c2_1(a739)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a734)
            & ~ c1_1(a734)
            & ~ c0_1(a734)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a732)
            & c3_1(a732)
            & c0_1(a732)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a731)
            & ~ c0_1(a731)
            & c2_1(a731)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a730)
            & c3_1(a730)
            & c1_1(a730)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a727)
            & ~ c0_1(a727)
            & c3_1(a727)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a725)
            & ~ c0_1(a725)
            & c2_1(a725)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a721)
            & ~ c0_1(a721)
            & c3_1(a721)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a720)
            & ~ c1_1(a720)
            & c3_1(a720)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a719)
            & c2_1(a719)
            & c1_1(a719)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a718)
            & ~ c0_1(a718)
            & c1_1(a718)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a717)
            & ~ c2_1(a717)
            & c0_1(a717)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a716)
            & c2_1(a716)
            & c0_1(a716)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a713)
            & ~ c2_1(a713)
            & ~ c0_1(a713)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a711)
            & ~ c1_1(a711)
            & c0_1(a711)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a710)
            & ~ c2_1(a710)
            & ~ c1_1(a710)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a708)
            & ~ c0_1(a708)
            & c1_1(a708)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a707)
            & ~ c1_1(a707)
            & c0_1(a707)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a706)
            & ~ c1_1(a706)
            & ~ c0_1(a706)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(rectify,[],[f2]) ).

fof(f2,negated_conjecture,
    ~ ~ ( ( hskp5
          | hskp11
          | hskp18 )
        & ( hskp11
          | hskp8
          | hskp22 )
        & ( hskp18
          | hskp20
          | hskp9 )
        & ( hskp10
          | hskp18
          | hskp29 )
        & ( hskp8
          | hskp14
          | hskp7 )
        & ( hskp2
          | hskp1
          | hskp24 )
        & ( hskp4
          | hskp24
          | hskp16 )
        & ( hskp18
          | hskp8
          | hskp6 )
        & ( hskp21
          | hskp1
          | hskp6 )
        & ( hskp12
          | hskp18
          | hskp25 )
        & ( hskp9
          | hskp29
          | hskp25 )
        & ( hskp17
          | hskp30
          | hskp23 )
        & ( hskp0
          | hskp8
          | ! [X115] :
              ( ndr1_0
             => ( ~ c2_1(X115)
                | ~ c1_1(X115)
                | c3_1(X115) ) ) )
        & ( hskp1
          | hskp31
          | ! [X114] :
              ( ndr1_0
             => ( ~ c2_1(X114)
                | ~ c0_1(X114)
                | c3_1(X114) ) ) )
        & ( hskp27
          | hskp7
          | ! [X113] :
              ( ndr1_0
             => ( ~ c1_1(X113)
                | ~ c0_1(X113)
                | c3_1(X113) ) ) )
        & ( hskp2
          | ! [X112] :
              ( ndr1_0
             => ( ~ c3_1(X112)
                | ~ c2_1(X112)
                | ~ c0_1(X112) ) )
          | ! [X111] :
              ( ndr1_0
             => ( ~ c1_1(X111)
                | ~ c0_1(X111)
                | c3_1(X111) ) ) )
        & ( hskp8
          | hskp19
          | ! [X110] :
              ( ndr1_0
             => ( ~ c1_1(X110)
                | ~ c0_1(X110)
                | c2_1(X110) ) ) )
        & ( hskp17
          | hskp16
          | ! [X109] :
              ( ndr1_0
             => ( ~ c1_1(X109)
                | ~ c0_1(X109)
                | c2_1(X109) ) ) )
        & ( hskp27
          | hskp31
          | ! [X108] :
              ( ndr1_0
             => ( ~ c1_1(X108)
                | ~ c0_1(X108)
                | c2_1(X108) ) ) )
        & ( hskp31
          | hskp28
          | ! [X107] :
              ( ndr1_0
             => ( ~ c1_1(X107)
                | ~ c0_1(X107)
                | c2_1(X107) ) ) )
        & ( ! [X106] :
              ( ndr1_0
             => ( ~ c2_1(X106)
                | ~ c0_1(X106)
                | c3_1(X106) ) )
          | ! [X105] :
              ( ndr1_0
             => ( ~ c1_1(X105)
                | ~ c0_1(X105)
                | c3_1(X105) ) )
          | ! [X104] :
              ( ndr1_0
             => ( ~ c1_1(X104)
                | ~ c0_1(X104)
                | c2_1(X104) ) ) )
        & ( hskp13
          | hskp29
          | ! [X103] :
              ( ndr1_0
             => ( ~ c1_1(X103)
                | c3_1(X103)
                | c2_1(X103) ) ) )
        & ( hskp11
          | hskp26
          | ! [X102] :
              ( ndr1_0
             => ( ~ c1_1(X102)
                | c3_1(X102)
                | c2_1(X102) ) ) )
        & ( hskp16
          | ! [X101] :
              ( ndr1_0
             => ( ~ c1_1(X101)
                | ~ c0_1(X101)
                | c3_1(X101) ) )
          | ! [X100] :
              ( ndr1_0
             => ( ~ c0_1(X100)
                | c3_1(X100)
                | c2_1(X100) ) ) )
        & ( hskp22
          | hskp30
          | ! [X99] :
              ( ndr1_0
             => ( ~ c3_1(X99)
                | ~ c2_1(X99)
                | c1_1(X99) ) ) )
        & ( hskp14
          | ! [X98] :
              ( ndr1_0
             => ( ~ c1_1(X98)
                | ~ c0_1(X98)
                | c2_1(X98) ) )
          | ! [X97] :
              ( ndr1_0
             => ( ~ c3_1(X97)
                | ~ c2_1(X97)
                | c1_1(X97) ) ) )
        & ( hskp5
          | hskp0
          | ! [X96] :
              ( ndr1_0
             => ( ~ c3_1(X96)
                | ~ c0_1(X96)
                | c1_1(X96) ) ) )
        & ( hskp5
          | hskp29
          | ! [X95] :
              ( ndr1_0
             => ( ~ c3_1(X95)
                | ~ c0_1(X95)
                | c1_1(X95) ) ) )
        & ( hskp25
          | ! [X94] :
              ( ndr1_0
             => ( ~ c3_1(X94)
                | ~ c2_1(X94)
                | ~ c0_1(X94) ) )
          | ! [X93] :
              ( ndr1_0
             => ( ~ c3_1(X93)
                | ~ c0_1(X93)
                | c1_1(X93) ) ) )
        & ( hskp18
          | hskp24
          | ! [X92] :
              ( ndr1_0
             => ( ~ c2_1(X92)
                | c3_1(X92)
                | c1_1(X92) ) ) )
        & ( hskp13
          | ! [X91] :
              ( ndr1_0
             => ( ~ c0_1(X91)
                | c3_1(X91)
                | c2_1(X91) ) )
          | ! [X90] :
              ( ndr1_0
             => ( ~ c2_1(X90)
                | c3_1(X90)
                | c1_1(X90) ) ) )
        & ( hskp4
          | ! [X89] :
              ( ndr1_0
             => ( ~ c3_1(X89)
                | ~ c2_1(X89)
                | ~ c0_1(X89) ) )
          | ! [X88] :
              ( ndr1_0
             => ( ~ c0_1(X88)
                | c3_1(X88)
                | c1_1(X88) ) ) )
        & ( hskp17
          | hskp14
          | ! [X87] :
              ( ndr1_0
             => ( ~ c3_1(X87)
                | c2_1(X87)
                | c1_1(X87) ) ) )
        & ( ! [X86] :
              ( ndr1_0
             => ( ~ c2_1(X86)
                | ~ c1_1(X86)
                | c3_1(X86) ) )
          | ! [X85] :
              ( ndr1_0
             => ( ~ c3_1(X85)
                | c2_1(X85)
                | c1_1(X85) ) ) )
        & ( hskp23
          | ! [X84] :
              ( ndr1_0
             => ( ~ c3_1(X84)
                | ~ c0_1(X84)
                | c1_1(X84) ) )
          | ! [X83] :
              ( ndr1_0
             => ( ~ c3_1(X83)
                | c2_1(X83)
                | c1_1(X83) ) ) )
        & ( hskp22
          | hskp16
          | ! [X82] :
              ( ndr1_0
             => ( ~ c0_1(X82)
                | c2_1(X82)
                | c1_1(X82) ) ) )
        & ( hskp13
          | hskp6
          | ! [X81] :
              ( ndr1_0
             => ( ~ c0_1(X81)
                | c2_1(X81)
                | c1_1(X81) ) ) )
        & ( hskp18
          | hskp30
          | ! [X80] :
              ( ndr1_0
             => ( ~ c0_1(X80)
                | c2_1(X80)
                | c1_1(X80) ) ) )
        & ( hskp17
          | ! [X79] :
              ( ndr1_0
             => ( ~ c2_1(X79)
                | c3_1(X79)
                | c1_1(X79) ) )
          | ! [X78] :
              ( ndr1_0
             => ( c3_1(X78)
                | c2_1(X78)
                | c1_1(X78) ) ) )
        & ( ! [X77] :
              ( ndr1_0
             => ( ~ c1_1(X77)
                | c3_1(X77)
                | c2_1(X77) ) )
          | ! [X76] :
              ( ndr1_0
             => ( ~ c0_1(X76)
                | c3_1(X76)
                | c1_1(X76) ) )
          | ! [X75] :
              ( ndr1_0
             => ( c3_1(X75)
                | c2_1(X75)
                | c1_1(X75) ) ) )
        & ( hskp17
          | hskp21
          | ! [X74] :
              ( ndr1_0
             => ( ~ c3_1(X74)
                | ~ c2_1(X74)
                | c0_1(X74) ) ) )
        & ( ! [X73] :
              ( ndr1_0
             => ( ~ c2_1(X73)
                | ~ c1_1(X73)
                | ~ c0_1(X73) ) )
          | ! [X72] :
              ( ndr1_0
             => ( ~ c2_1(X72)
                | ~ c0_1(X72)
                | c3_1(X72) ) )
          | ! [X71] :
              ( ndr1_0
             => ( ~ c3_1(X71)
                | ~ c2_1(X71)
                | c0_1(X71) ) ) )
        & ( hskp20
          | ! [X70] :
              ( ndr1_0
             => ( ~ c1_1(X70)
                | c3_1(X70)
                | c2_1(X70) ) )
          | ! [X69] :
              ( ndr1_0
             => ( ~ c3_1(X69)
                | ~ c2_1(X69)
                | c0_1(X69) ) ) )
        & ( hskp17
          | hskp18
          | ! [X68] :
              ( ndr1_0
             => ( ~ c3_1(X68)
                | ~ c1_1(X68)
                | c0_1(X68) ) ) )
        & ( hskp8
          | hskp1
          | ! [X67] :
              ( ndr1_0
             => ( ~ c3_1(X67)
                | ~ c1_1(X67)
                | c0_1(X67) ) ) )
        & ( hskp28
          | ! [X66] :
              ( ndr1_0
             => ( ~ c3_1(X66)
                | ~ c2_1(X66)
                | ~ c0_1(X66) ) )
          | ! [X65] :
              ( ndr1_0
             => ( ~ c3_1(X65)
                | ~ c1_1(X65)
                | c0_1(X65) ) ) )
        & ( hskp19
          | ! [X64] :
              ( ndr1_0
             => ( ~ c3_1(X64)
                | ~ c1_1(X64)
                | ~ c0_1(X64) ) )
          | ! [X63] :
              ( ndr1_0
             => ( ~ c3_1(X63)
                | ~ c1_1(X63)
                | c0_1(X63) ) ) )
        & ( hskp2
          | ! [X62] :
              ( ndr1_0
             => ( ~ c3_1(X62)
                | ~ c0_1(X62)
                | c1_1(X62) ) )
          | ! [X61] :
              ( ndr1_0
             => ( ~ c3_1(X61)
                | ~ c1_1(X61)
                | c0_1(X61) ) ) )
        & ( hskp18
          | hskp28
          | ! [X60] :
              ( ndr1_0
             => ( ~ c2_1(X60)
                | ~ c1_1(X60)
                | c0_1(X60) ) ) )
        & ( hskp3
          | hskp4
          | ! [X59] :
              ( ndr1_0
             => ( ~ c2_1(X59)
                | c3_1(X59)
                | c0_1(X59) ) ) )
        & ( hskp29
          | ! [X58] :
              ( ndr1_0
             => ( ~ c3_1(X58)
                | ~ c2_1(X58)
                | c1_1(X58) ) )
          | ! [X57] :
              ( ndr1_0
             => ( ~ c2_1(X57)
                | c3_1(X57)
                | c0_1(X57) ) ) )
        & ( hskp17
          | hskp15
          | ! [X56] :
              ( ndr1_0
             => ( ~ c1_1(X56)
                | c3_1(X56)
                | c0_1(X56) ) ) )
        & ( hskp16
          | ! [X55] :
              ( ndr1_0
             => ( ~ c3_1(X55)
                | ~ c0_1(X55)
                | c2_1(X55) ) )
          | ! [X54] :
              ( ndr1_0
             => ( ~ c1_1(X54)
                | c3_1(X54)
                | c0_1(X54) ) ) )
        & ( hskp15
          | hskp14
          | ! [X53] :
              ( ndr1_0
             => ( ~ c3_1(X53)
                | c2_1(X53)
                | c0_1(X53) ) ) )
        & ( hskp7
          | hskp30
          | ! [X52] :
              ( ndr1_0
             => ( ~ c3_1(X52)
                | c2_1(X52)
                | c0_1(X52) ) ) )
        & ( hskp13
          | hskp8
          | ! [X51] :
              ( ndr1_0
             => ( ~ c1_1(X51)
                | c2_1(X51)
                | c0_1(X51) ) ) )
        & ( hskp12
          | hskp1
          | ! [X50] :
              ( ndr1_0
             => ( ~ c1_1(X50)
                | c2_1(X50)
                | c0_1(X50) ) ) )
        & ( hskp31
          | ! [X49] :
              ( ndr1_0
             => ( ~ c3_1(X49)
                | ~ c1_1(X49)
                | ~ c0_1(X49) ) )
          | ! [X48] :
              ( ndr1_0
             => ( ~ c1_1(X48)
                | c2_1(X48)
                | c0_1(X48) ) ) )
        & ( hskp28
          | ! [X47] :
              ( ndr1_0
             => ( ~ c1_1(X47)
                | ~ c0_1(X47)
                | c3_1(X47) ) )
          | ! [X46] :
              ( ndr1_0
             => ( ~ c1_1(X46)
                | c2_1(X46)
                | c0_1(X46) ) ) )
        & ( hskp11
          | ! [X45] :
              ( ndr1_0
             => ( ~ c3_1(X45)
                | ~ c2_1(X45)
                | c1_1(X45) ) )
          | ! [X44] :
              ( ndr1_0
             => ( ~ c1_1(X44)
                | c2_1(X44)
                | c0_1(X44) ) ) )
        & ( ! [X43] :
              ( ndr1_0
             => ( ~ c2_1(X43)
                | ~ c1_1(X43)
                | ~ c0_1(X43) ) )
          | ! [X42] :
              ( ndr1_0
             => ( ~ c3_1(X42)
                | ~ c2_1(X42)
                | c1_1(X42) ) )
          | ! [X41] :
              ( ndr1_0
             => ( ~ c1_1(X41)
                | c2_1(X41)
                | c0_1(X41) ) ) )
        & ( ! [X40] :
              ( ndr1_0
             => ( ~ c3_1(X40)
                | c2_1(X40)
                | c1_1(X40) ) )
          | ! [X39] :
              ( ndr1_0
             => ( ~ c0_1(X39)
                | c2_1(X39)
                | c1_1(X39) ) )
          | ! [X38] :
              ( ndr1_0
             => ( ~ c1_1(X38)
                | c2_1(X38)
                | c0_1(X38) ) ) )
        & ( hskp10
          | hskp9
          | ! [X37] :
              ( ndr1_0
             => ( c3_1(X37)
                | c2_1(X37)
                | c0_1(X37) ) ) )
        & ( ! [X36] :
              ( ndr1_0
             => ( ~ c3_1(X36)
                | ~ c2_1(X36)
                | ~ c0_1(X36) ) )
          | ! [X35] :
              ( ndr1_0
             => ( ~ c0_1(X35)
                | c2_1(X35)
                | c1_1(X35) ) )
          | ! [X34] :
              ( ndr1_0
             => ( c3_1(X34)
                | c2_1(X34)
                | c0_1(X34) ) ) )
        & ( hskp8
          | hskp7
          | ! [X33] :
              ( ndr1_0
             => ( ~ c3_1(X33)
                | c1_1(X33)
                | c0_1(X33) ) ) )
        & ( hskp6
          | ! [X32] :
              ( ndr1_0
             => ( ~ c3_1(X32)
                | ~ c1_1(X32)
                | c2_1(X32) ) )
          | ! [X31] :
              ( ndr1_0
             => ( ~ c3_1(X31)
                | c1_1(X31)
                | c0_1(X31) ) ) )
        & ( hskp29
          | ! [X30] :
              ( ndr1_0
             => ( ~ c0_1(X30)
                | c3_1(X30)
                | c2_1(X30) ) )
          | ! [X29] :
              ( ndr1_0
             => ( ~ c3_1(X29)
                | c1_1(X29)
                | c0_1(X29) ) ) )
        & ( hskp30
          | ! [X28] :
              ( ndr1_0
             => ( ~ c2_1(X28)
                | ~ c0_1(X28)
                | c1_1(X28) ) )
          | ! [X27] :
              ( ndr1_0
             => ( ~ c3_1(X27)
                | c1_1(X27)
                | c0_1(X27) ) ) )
        & ( ! [X26] :
              ( ndr1_0
             => ( ~ c2_1(X26)
                | ~ c0_1(X26)
                | c3_1(X26) ) )
          | ! [X25] :
              ( ndr1_0
             => ( c3_1(X25)
                | c2_1(X25)
                | c0_1(X25) ) )
          | ! [X24] :
              ( ndr1_0
             => ( ~ c3_1(X24)
                | c1_1(X24)
                | c0_1(X24) ) ) )
        & ( hskp5
          | hskp4
          | ! [X23] :
              ( ndr1_0
             => ( ~ c2_1(X23)
                | c1_1(X23)
                | c0_1(X23) ) ) )
        & ( ! [X22] :
              ( ndr1_0
             => ( ~ c3_1(X22)
                | ~ c2_1(X22)
                | ~ c1_1(X22) ) )
          | ! [X21] :
              ( ndr1_0
             => ( ~ c3_1(X21)
                | ~ c2_1(X21)
                | c1_1(X21) ) )
          | ! [X20] :
              ( ndr1_0
             => ( ~ c2_1(X20)
                | c1_1(X20)
                | c0_1(X20) ) ) )
        & ( hskp4
          | ! [X19] :
              ( ndr1_0
             => ( ~ c2_1(X19)
                | c3_1(X19)
                | c0_1(X19) ) )
          | ! [X18] :
              ( ndr1_0
             => ( ~ c2_1(X18)
                | c1_1(X18)
                | c0_1(X18) ) ) )
        & ( ! [X17] :
              ( ndr1_0
             => ( ~ c1_1(X17)
                | c3_1(X17)
                | c2_1(X17) ) )
          | ! [X16] :
              ( ndr1_0
             => ( ~ c3_1(X16)
                | c1_1(X16)
                | c0_1(X16) ) )
          | ! [X15] :
              ( ndr1_0
             => ( ~ c2_1(X15)
                | c1_1(X15)
                | c0_1(X15) ) ) )
        & ( ! [X14] :
              ( ndr1_0
             => ( ~ c3_1(X14)
                | ~ c2_1(X14)
                | c0_1(X14) ) )
          | ! [X13] :
              ( ndr1_0
             => ( ~ c3_1(X13)
                | c1_1(X13)
                | c0_1(X13) ) )
          | ! [X12] :
              ( ndr1_0
             => ( ~ c2_1(X12)
                | c1_1(X12)
                | c0_1(X12) ) ) )
        & ( hskp3
          | ! [X11] :
              ( ndr1_0
             => ( ~ c3_1(X11)
                | ~ c0_1(X11)
                | c2_1(X11) ) )
          | ! [X10] :
              ( ndr1_0
             => ( c3_1(X10)
                | c1_1(X10)
                | c0_1(X10) ) ) )
        & ( ! [X9] :
              ( ndr1_0
             => ( ~ c3_1(X9)
                | ~ c1_1(X9)
                | ~ c0_1(X9) ) )
          | ! [X8] :
              ( ndr1_0
             => ( ~ c3_1(X8)
                | ~ c2_1(X8)
                | c0_1(X8) ) )
          | ! [X7] :
              ( ndr1_0
             => ( c3_1(X7)
                | c1_1(X7)
                | c0_1(X7) ) ) )
        & ( hskp29
          | ! [X6] :
              ( ndr1_0
             => ( c3_1(X6)
                | c2_1(X6)
                | c0_1(X6) ) )
          | ! [X5] :
              ( ndr1_0
             => ( c3_1(X5)
                | c1_1(X5)
                | c0_1(X5) ) ) )
        & ( ! [X4] :
              ( ndr1_0
             => ( ~ c3_1(X4)
                | ~ c2_1(X4)
                | ~ c0_1(X4) ) )
          | ! [X3] :
              ( ndr1_0
             => ( ~ c2_1(X3)
                | c1_1(X3)
                | c0_1(X3) ) )
          | ! [X2] :
              ( ndr1_0
             => ( c3_1(X2)
                | c1_1(X2)
                | c0_1(X2) ) ) )
        & ( hskp2
          | hskp1
          | ! [X1] :
              ( ndr1_0
             => ( c2_1(X1)
                | c1_1(X1)
                | c0_1(X1) ) ) )
        & ( hskp0
          | hskp28
          | ! [X0] :
              ( ndr1_0
             => ( c2_1(X0)
                | c1_1(X0)
                | c0_1(X0) ) ) )
        & ( ( c3_1(a723)
            & c1_1(a723)
            & c0_1(a723)
            & ndr1_0 )
          | ~ hskp31 )
        & ( ( c3_1(a714)
            & c2_1(a714)
            & c0_1(a714)
            & ndr1_0 )
          | ~ hskp30 )
        & ( ( c3_1(a709)
            & c2_1(a709)
            & c1_1(a709)
            & ndr1_0 )
          | ~ hskp29 )
        & ( ( c2_1(a705)
            & c1_1(a705)
            & c0_1(a705)
            & ndr1_0 )
          | ~ hskp28 )
        & ( ( ~ c3_1(a780)
            & ~ c1_1(a780)
            & c2_1(a780)
            & ndr1_0 )
          | ~ hskp27 )
        & ( ( ~ c3_1(a773)
            & c1_1(a773)
            & c0_1(a773)
            & ndr1_0 )
          | ~ hskp26 )
        & ( ( ~ c1_1(a764)
            & c2_1(a764)
            & c0_1(a764)
            & ndr1_0 )
          | ~ hskp25 )
        & ( ( ~ c2_1(a762)
            & c3_1(a762)
            & c0_1(a762)
            & ndr1_0 )
          | ~ hskp24 )
        & ( ( ~ c2_1(a757)
            & c1_1(a757)
            & c0_1(a757)
            & ndr1_0 )
          | ~ hskp23 )
        & ( ( ~ c3_1(a756)
            & c2_1(a756)
            & c1_1(a756)
            & ndr1_0 )
          | ~ hskp22 )
        & ( ( ~ c0_1(a748)
            & c3_1(a748)
            & c2_1(a748)
            & ndr1_0 )
          | ~ hskp21 )
        & ( ( ~ c3_1(a747)
            & ~ c2_1(a747)
            & c1_1(a747)
            & ndr1_0 )
          | ~ hskp20 )
        & ( ( ~ c0_1(a741)
            & c3_1(a741)
            & c1_1(a741)
            & ndr1_0 )
          | ~ hskp19 )
        & ( ( ~ c1_1(a739)
            & c3_1(a739)
            & c2_1(a739)
            & ndr1_0 )
          | ~ hskp18 )
        & ( ( ~ c3_1(a734)
            & ~ c1_1(a734)
            & ~ c0_1(a734)
            & ndr1_0 )
          | ~ hskp17 )
        & ( ( ~ c1_1(a732)
            & c3_1(a732)
            & c0_1(a732)
            & ndr1_0 )
          | ~ hskp16 )
        & ( ( ~ c3_1(a731)
            & ~ c0_1(a731)
            & c2_1(a731)
            & ndr1_0 )
          | ~ hskp15 )
        & ( ( ~ c2_1(a730)
            & c3_1(a730)
            & c1_1(a730)
            & ndr1_0 )
          | ~ hskp14 )
        & ( ( ~ c2_1(a727)
            & ~ c0_1(a727)
            & c3_1(a727)
            & ndr1_0 )
          | ~ hskp13 )
        & ( ( ~ c1_1(a725)
            & ~ c0_1(a725)
            & c2_1(a725)
            & ndr1_0 )
          | ~ hskp12 )
        & ( ( ~ c1_1(a721)
            & ~ c0_1(a721)
            & c3_1(a721)
            & ndr1_0 )
          | ~ hskp11 )
        & ( ( ~ c2_1(a720)
            & ~ c1_1(a720)
            & c3_1(a720)
            & ndr1_0 )
          | ~ hskp10 )
        & ( ( ~ c0_1(a719)
            & c2_1(a719)
            & c1_1(a719)
            & ndr1_0 )
          | ~ hskp9 )
        & ( ( ~ c2_1(a718)
            & ~ c0_1(a718)
            & c1_1(a718)
            & ndr1_0 )
          | ~ hskp8 )
        & ( ( ~ c3_1(a717)
            & ~ c2_1(a717)
            & c0_1(a717)
            & ndr1_0 )
          | ~ hskp7 )
        & ( ( ~ c3_1(a716)
            & c2_1(a716)
            & c0_1(a716)
            & ndr1_0 )
          | ~ hskp6 )
        & ( ( ~ c3_1(a713)
            & ~ c2_1(a713)
            & ~ c0_1(a713)
            & ndr1_0 )
          | ~ hskp5 )
        & ( ( ~ c3_1(a711)
            & ~ c1_1(a711)
            & c0_1(a711)
            & ndr1_0 )
          | ~ hskp4 )
        & ( ( ~ c3_1(a710)
            & ~ c2_1(a710)
            & ~ c1_1(a710)
            & ndr1_0 )
          | ~ hskp3 )
        & ( ( ~ c3_1(a708)
            & ~ c0_1(a708)
            & c1_1(a708)
            & ndr1_0 )
          | ~ hskp2 )
        & ( ( ~ c2_1(a707)
            & ~ c1_1(a707)
            & c0_1(a707)
            & ndr1_0 )
          | ~ hskp1 )
        & ( ( ~ c2_1(a706)
            & ~ c1_1(a706)
            & ~ c0_1(a706)
            & ndr1_0 )
          | ~ hskp0 ) ),
    inference(negated_conjecture,[],[f1]) ).

fof(f1,conjecture,
    ~ ( ( hskp5
        | hskp11
        | hskp18 )
      & ( hskp11
        | hskp8
        | hskp22 )
      & ( hskp18
        | hskp20
        | hskp9 )
      & ( hskp10
        | hskp18
        | hskp29 )
      & ( hskp8
        | hskp14
        | hskp7 )
      & ( hskp2
        | hskp1
        | hskp24 )
      & ( hskp4
        | hskp24
        | hskp16 )
      & ( hskp18
        | hskp8
        | hskp6 )
      & ( hskp21
        | hskp1
        | hskp6 )
      & ( hskp12
        | hskp18
        | hskp25 )
      & ( hskp9
        | hskp29
        | hskp25 )
      & ( hskp17
        | hskp30
        | hskp23 )
      & ( hskp0
        | hskp8
        | ! [X115] :
            ( ndr1_0
           => ( ~ c2_1(X115)
              | ~ c1_1(X115)
              | c3_1(X115) ) ) )
      & ( hskp1
        | hskp31
        | ! [X114] :
            ( ndr1_0
           => ( ~ c2_1(X114)
              | ~ c0_1(X114)
              | c3_1(X114) ) ) )
      & ( hskp27
        | hskp7
        | ! [X113] :
            ( ndr1_0
           => ( ~ c1_1(X113)
              | ~ c0_1(X113)
              | c3_1(X113) ) ) )
      & ( hskp2
        | ! [X112] :
            ( ndr1_0
           => ( ~ c3_1(X112)
              | ~ c2_1(X112)
              | ~ c0_1(X112) ) )
        | ! [X111] :
            ( ndr1_0
           => ( ~ c1_1(X111)
              | ~ c0_1(X111)
              | c3_1(X111) ) ) )
      & ( hskp8
        | hskp19
        | ! [X110] :
            ( ndr1_0
           => ( ~ c1_1(X110)
              | ~ c0_1(X110)
              | c2_1(X110) ) ) )
      & ( hskp17
        | hskp16
        | ! [X109] :
            ( ndr1_0
           => ( ~ c1_1(X109)
              | ~ c0_1(X109)
              | c2_1(X109) ) ) )
      & ( hskp27
        | hskp31
        | ! [X108] :
            ( ndr1_0
           => ( ~ c1_1(X108)
              | ~ c0_1(X108)
              | c2_1(X108) ) ) )
      & ( hskp31
        | hskp28
        | ! [X107] :
            ( ndr1_0
           => ( ~ c1_1(X107)
              | ~ c0_1(X107)
              | c2_1(X107) ) ) )
      & ( ! [X106] :
            ( ndr1_0
           => ( ~ c2_1(X106)
              | ~ c0_1(X106)
              | c3_1(X106) ) )
        | ! [X105] :
            ( ndr1_0
           => ( ~ c1_1(X105)
              | ~ c0_1(X105)
              | c3_1(X105) ) )
        | ! [X104] :
            ( ndr1_0
           => ( ~ c1_1(X104)
              | ~ c0_1(X104)
              | c2_1(X104) ) ) )
      & ( hskp13
        | hskp29
        | ! [X103] :
            ( ndr1_0
           => ( ~ c1_1(X103)
              | c3_1(X103)
              | c2_1(X103) ) ) )
      & ( hskp11
        | hskp26
        | ! [X102] :
            ( ndr1_0
           => ( ~ c1_1(X102)
              | c3_1(X102)
              | c2_1(X102) ) ) )
      & ( hskp16
        | ! [X101] :
            ( ndr1_0
           => ( ~ c1_1(X101)
              | ~ c0_1(X101)
              | c3_1(X101) ) )
        | ! [X100] :
            ( ndr1_0
           => ( ~ c0_1(X100)
              | c3_1(X100)
              | c2_1(X100) ) ) )
      & ( hskp22
        | hskp30
        | ! [X99] :
            ( ndr1_0
           => ( ~ c3_1(X99)
              | ~ c2_1(X99)
              | c1_1(X99) ) ) )
      & ( hskp14
        | ! [X98] :
            ( ndr1_0
           => ( ~ c1_1(X98)
              | ~ c0_1(X98)
              | c2_1(X98) ) )
        | ! [X97] :
            ( ndr1_0
           => ( ~ c3_1(X97)
              | ~ c2_1(X97)
              | c1_1(X97) ) ) )
      & ( hskp5
        | hskp0
        | ! [X96] :
            ( ndr1_0
           => ( ~ c3_1(X96)
              | ~ c0_1(X96)
              | c1_1(X96) ) ) )
      & ( hskp5
        | hskp29
        | ! [X95] :
            ( ndr1_0
           => ( ~ c3_1(X95)
              | ~ c0_1(X95)
              | c1_1(X95) ) ) )
      & ( hskp25
        | ! [X94] :
            ( ndr1_0
           => ( ~ c3_1(X94)
              | ~ c2_1(X94)
              | ~ c0_1(X94) ) )
        | ! [X93] :
            ( ndr1_0
           => ( ~ c3_1(X93)
              | ~ c0_1(X93)
              | c1_1(X93) ) ) )
      & ( hskp18
        | hskp24
        | ! [X92] :
            ( ndr1_0
           => ( ~ c2_1(X92)
              | c3_1(X92)
              | c1_1(X92) ) ) )
      & ( hskp13
        | ! [X91] :
            ( ndr1_0
           => ( ~ c0_1(X91)
              | c3_1(X91)
              | c2_1(X91) ) )
        | ! [X90] :
            ( ndr1_0
           => ( ~ c2_1(X90)
              | c3_1(X90)
              | c1_1(X90) ) ) )
      & ( hskp4
        | ! [X89] :
            ( ndr1_0
           => ( ~ c3_1(X89)
              | ~ c2_1(X89)
              | ~ c0_1(X89) ) )
        | ! [X88] :
            ( ndr1_0
           => ( ~ c0_1(X88)
              | c3_1(X88)
              | c1_1(X88) ) ) )
      & ( hskp17
        | hskp14
        | ! [X87] :
            ( ndr1_0
           => ( ~ c3_1(X87)
              | c2_1(X87)
              | c1_1(X87) ) ) )
      & ( ! [X86] :
            ( ndr1_0
           => ( ~ c2_1(X86)
              | ~ c1_1(X86)
              | c3_1(X86) ) )
        | ! [X85] :
            ( ndr1_0
           => ( ~ c3_1(X85)
              | c2_1(X85)
              | c1_1(X85) ) ) )
      & ( hskp23
        | ! [X84] :
            ( ndr1_0
           => ( ~ c3_1(X84)
              | ~ c0_1(X84)
              | c1_1(X84) ) )
        | ! [X83] :
            ( ndr1_0
           => ( ~ c3_1(X83)
              | c2_1(X83)
              | c1_1(X83) ) ) )
      & ( hskp22
        | hskp16
        | ! [X82] :
            ( ndr1_0
           => ( ~ c0_1(X82)
              | c2_1(X82)
              | c1_1(X82) ) ) )
      & ( hskp13
        | hskp6
        | ! [X81] :
            ( ndr1_0
           => ( ~ c0_1(X81)
              | c2_1(X81)
              | c1_1(X81) ) ) )
      & ( hskp18
        | hskp30
        | ! [X80] :
            ( ndr1_0
           => ( ~ c0_1(X80)
              | c2_1(X80)
              | c1_1(X80) ) ) )
      & ( hskp17
        | ! [X79] :
            ( ndr1_0
           => ( ~ c2_1(X79)
              | c3_1(X79)
              | c1_1(X79) ) )
        | ! [X78] :
            ( ndr1_0
           => ( c3_1(X78)
              | c2_1(X78)
              | c1_1(X78) ) ) )
      & ( ! [X77] :
            ( ndr1_0
           => ( ~ c1_1(X77)
              | c3_1(X77)
              | c2_1(X77) ) )
        | ! [X76] :
            ( ndr1_0
           => ( ~ c0_1(X76)
              | c3_1(X76)
              | c1_1(X76) ) )
        | ! [X75] :
            ( ndr1_0
           => ( c3_1(X75)
              | c2_1(X75)
              | c1_1(X75) ) ) )
      & ( hskp17
        | hskp21
        | ! [X74] :
            ( ndr1_0
           => ( ~ c3_1(X74)
              | ~ c2_1(X74)
              | c0_1(X74) ) ) )
      & ( ! [X73] :
            ( ndr1_0
           => ( ~ c2_1(X73)
              | ~ c1_1(X73)
              | ~ c0_1(X73) ) )
        | ! [X72] :
            ( ndr1_0
           => ( ~ c2_1(X72)
              | ~ c0_1(X72)
              | c3_1(X72) ) )
        | ! [X71] :
            ( ndr1_0
           => ( ~ c3_1(X71)
              | ~ c2_1(X71)
              | c0_1(X71) ) ) )
      & ( hskp20
        | ! [X70] :
            ( ndr1_0
           => ( ~ c1_1(X70)
              | c3_1(X70)
              | c2_1(X70) ) )
        | ! [X69] :
            ( ndr1_0
           => ( ~ c3_1(X69)
              | ~ c2_1(X69)
              | c0_1(X69) ) ) )
      & ( hskp17
        | hskp18
        | ! [X68] :
            ( ndr1_0
           => ( ~ c3_1(X68)
              | ~ c1_1(X68)
              | c0_1(X68) ) ) )
      & ( hskp8
        | hskp1
        | ! [X67] :
            ( ndr1_0
           => ( ~ c3_1(X67)
              | ~ c1_1(X67)
              | c0_1(X67) ) ) )
      & ( hskp28
        | ! [X66] :
            ( ndr1_0
           => ( ~ c3_1(X66)
              | ~ c2_1(X66)
              | ~ c0_1(X66) ) )
        | ! [X65] :
            ( ndr1_0
           => ( ~ c3_1(X65)
              | ~ c1_1(X65)
              | c0_1(X65) ) ) )
      & ( hskp19
        | ! [X64] :
            ( ndr1_0
           => ( ~ c3_1(X64)
              | ~ c1_1(X64)
              | ~ c0_1(X64) ) )
        | ! [X63] :
            ( ndr1_0
           => ( ~ c3_1(X63)
              | ~ c1_1(X63)
              | c0_1(X63) ) ) )
      & ( hskp2
        | ! [X62] :
            ( ndr1_0
           => ( ~ c3_1(X62)
              | ~ c0_1(X62)
              | c1_1(X62) ) )
        | ! [X61] :
            ( ndr1_0
           => ( ~ c3_1(X61)
              | ~ c1_1(X61)
              | c0_1(X61) ) ) )
      & ( hskp18
        | hskp28
        | ! [X60] :
            ( ndr1_0
           => ( ~ c2_1(X60)
              | ~ c1_1(X60)
              | c0_1(X60) ) ) )
      & ( hskp3
        | hskp4
        | ! [X59] :
            ( ndr1_0
           => ( ~ c2_1(X59)
              | c3_1(X59)
              | c0_1(X59) ) ) )
      & ( hskp29
        | ! [X58] :
            ( ndr1_0
           => ( ~ c3_1(X58)
              | ~ c2_1(X58)
              | c1_1(X58) ) )
        | ! [X57] :
            ( ndr1_0
           => ( ~ c2_1(X57)
              | c3_1(X57)
              | c0_1(X57) ) ) )
      & ( hskp17
        | hskp15
        | ! [X56] :
            ( ndr1_0
           => ( ~ c1_1(X56)
              | c3_1(X56)
              | c0_1(X56) ) ) )
      & ( hskp16
        | ! [X55] :
            ( ndr1_0
           => ( ~ c3_1(X55)
              | ~ c0_1(X55)
              | c2_1(X55) ) )
        | ! [X54] :
            ( ndr1_0
           => ( ~ c1_1(X54)
              | c3_1(X54)
              | c0_1(X54) ) ) )
      & ( hskp15
        | hskp14
        | ! [X53] :
            ( ndr1_0
           => ( ~ c3_1(X53)
              | c2_1(X53)
              | c0_1(X53) ) ) )
      & ( hskp7
        | hskp30
        | ! [X52] :
            ( ndr1_0
           => ( ~ c3_1(X52)
              | c2_1(X52)
              | c0_1(X52) ) ) )
      & ( hskp13
        | hskp8
        | ! [X51] :
            ( ndr1_0
           => ( ~ c1_1(X51)
              | c2_1(X51)
              | c0_1(X51) ) ) )
      & ( hskp12
        | hskp1
        | ! [X50] :
            ( ndr1_0
           => ( ~ c1_1(X50)
              | c2_1(X50)
              | c0_1(X50) ) ) )
      & ( hskp31
        | ! [X49] :
            ( ndr1_0
           => ( ~ c3_1(X49)
              | ~ c1_1(X49)
              | ~ c0_1(X49) ) )
        | ! [X48] :
            ( ndr1_0
           => ( ~ c1_1(X48)
              | c2_1(X48)
              | c0_1(X48) ) ) )
      & ( hskp28
        | ! [X47] :
            ( ndr1_0
           => ( ~ c1_1(X47)
              | ~ c0_1(X47)
              | c3_1(X47) ) )
        | ! [X46] :
            ( ndr1_0
           => ( ~ c1_1(X46)
              | c2_1(X46)
              | c0_1(X46) ) ) )
      & ( hskp11
        | ! [X45] :
            ( ndr1_0
           => ( ~ c3_1(X45)
              | ~ c2_1(X45)
              | c1_1(X45) ) )
        | ! [X44] :
            ( ndr1_0
           => ( ~ c1_1(X44)
              | c2_1(X44)
              | c0_1(X44) ) ) )
      & ( ! [X43] :
            ( ndr1_0
           => ( ~ c2_1(X43)
              | ~ c1_1(X43)
              | ~ c0_1(X43) ) )
        | ! [X42] :
            ( ndr1_0
           => ( ~ c3_1(X42)
              | ~ c2_1(X42)
              | c1_1(X42) ) )
        | ! [X41] :
            ( ndr1_0
           => ( ~ c1_1(X41)
              | c2_1(X41)
              | c0_1(X41) ) ) )
      & ( ! [X40] :
            ( ndr1_0
           => ( ~ c3_1(X40)
              | c2_1(X40)
              | c1_1(X40) ) )
        | ! [X39] :
            ( ndr1_0
           => ( ~ c0_1(X39)
              | c2_1(X39)
              | c1_1(X39) ) )
        | ! [X38] :
            ( ndr1_0
           => ( ~ c1_1(X38)
              | c2_1(X38)
              | c0_1(X38) ) ) )
      & ( hskp10
        | hskp9
        | ! [X37] :
            ( ndr1_0
           => ( c3_1(X37)
              | c2_1(X37)
              | c0_1(X37) ) ) )
      & ( ! [X36] :
            ( ndr1_0
           => ( ~ c3_1(X36)
              | ~ c2_1(X36)
              | ~ c0_1(X36) ) )
        | ! [X35] :
            ( ndr1_0
           => ( ~ c0_1(X35)
              | c2_1(X35)
              | c1_1(X35) ) )
        | ! [X34] :
            ( ndr1_0
           => ( c3_1(X34)
              | c2_1(X34)
              | c0_1(X34) ) ) )
      & ( hskp8
        | hskp7
        | ! [X33] :
            ( ndr1_0
           => ( ~ c3_1(X33)
              | c1_1(X33)
              | c0_1(X33) ) ) )
      & ( hskp6
        | ! [X32] :
            ( ndr1_0
           => ( ~ c3_1(X32)
              | ~ c1_1(X32)
              | c2_1(X32) ) )
        | ! [X31] :
            ( ndr1_0
           => ( ~ c3_1(X31)
              | c1_1(X31)
              | c0_1(X31) ) ) )
      & ( hskp29
        | ! [X30] :
            ( ndr1_0
           => ( ~ c0_1(X30)
              | c3_1(X30)
              | c2_1(X30) ) )
        | ! [X29] :
            ( ndr1_0
           => ( ~ c3_1(X29)
              | c1_1(X29)
              | c0_1(X29) ) ) )
      & ( hskp30
        | ! [X28] :
            ( ndr1_0
           => ( ~ c2_1(X28)
              | ~ c0_1(X28)
              | c1_1(X28) ) )
        | ! [X27] :
            ( ndr1_0
           => ( ~ c3_1(X27)
              | c1_1(X27)
              | c0_1(X27) ) ) )
      & ( ! [X26] :
            ( ndr1_0
           => ( ~ c2_1(X26)
              | ~ c0_1(X26)
              | c3_1(X26) ) )
        | ! [X25] :
            ( ndr1_0
           => ( c3_1(X25)
              | c2_1(X25)
              | c0_1(X25) ) )
        | ! [X24] :
            ( ndr1_0
           => ( ~ c3_1(X24)
              | c1_1(X24)
              | c0_1(X24) ) ) )
      & ( hskp5
        | hskp4
        | ! [X23] :
            ( ndr1_0
           => ( ~ c2_1(X23)
              | c1_1(X23)
              | c0_1(X23) ) ) )
      & ( ! [X22] :
            ( ndr1_0
           => ( ~ c3_1(X22)
              | ~ c2_1(X22)
              | ~ c1_1(X22) ) )
        | ! [X21] :
            ( ndr1_0
           => ( ~ c3_1(X21)
              | ~ c2_1(X21)
              | c1_1(X21) ) )
        | ! [X20] :
            ( ndr1_0
           => ( ~ c2_1(X20)
              | c1_1(X20)
              | c0_1(X20) ) ) )
      & ( hskp4
        | ! [X19] :
            ( ndr1_0
           => ( ~ c2_1(X19)
              | c3_1(X19)
              | c0_1(X19) ) )
        | ! [X18] :
            ( ndr1_0
           => ( ~ c2_1(X18)
              | c1_1(X18)
              | c0_1(X18) ) ) )
      & ( ! [X17] :
            ( ndr1_0
           => ( ~ c1_1(X17)
              | c3_1(X17)
              | c2_1(X17) ) )
        | ! [X16] :
            ( ndr1_0
           => ( ~ c3_1(X16)
              | c1_1(X16)
              | c0_1(X16) ) )
        | ! [X15] :
            ( ndr1_0
           => ( ~ c2_1(X15)
              | c1_1(X15)
              | c0_1(X15) ) ) )
      & ( ! [X14] :
            ( ndr1_0
           => ( ~ c3_1(X14)
              | ~ c2_1(X14)
              | c0_1(X14) ) )
        | ! [X13] :
            ( ndr1_0
           => ( ~ c3_1(X13)
              | c1_1(X13)
              | c0_1(X13) ) )
        | ! [X12] :
            ( ndr1_0
           => ( ~ c2_1(X12)
              | c1_1(X12)
              | c0_1(X12) ) ) )
      & ( hskp3
        | ! [X11] :
            ( ndr1_0
           => ( ~ c3_1(X11)
              | ~ c0_1(X11)
              | c2_1(X11) ) )
        | ! [X10] :
            ( ndr1_0
           => ( c3_1(X10)
              | c1_1(X10)
              | c0_1(X10) ) ) )
      & ( ! [X9] :
            ( ndr1_0
           => ( ~ c3_1(X9)
              | ~ c1_1(X9)
              | ~ c0_1(X9) ) )
        | ! [X8] :
            ( ndr1_0
           => ( ~ c3_1(X8)
              | ~ c2_1(X8)
              | c0_1(X8) ) )
        | ! [X7] :
            ( ndr1_0
           => ( c3_1(X7)
              | c1_1(X7)
              | c0_1(X7) ) ) )
      & ( hskp29
        | ! [X6] :
            ( ndr1_0
           => ( c3_1(X6)
              | c2_1(X6)
              | c0_1(X6) ) )
        | ! [X5] :
            ( ndr1_0
           => ( c3_1(X5)
              | c1_1(X5)
              | c0_1(X5) ) ) )
      & ( ! [X4] :
            ( ndr1_0
           => ( ~ c3_1(X4)
              | ~ c2_1(X4)
              | ~ c0_1(X4) ) )
        | ! [X3] :
            ( ndr1_0
           => ( ~ c2_1(X3)
              | c1_1(X3)
              | c0_1(X3) ) )
        | ! [X2] :
            ( ndr1_0
           => ( c3_1(X2)
              | c1_1(X2)
              | c0_1(X2) ) ) )
      & ( hskp2
        | hskp1
        | ! [X1] :
            ( ndr1_0
           => ( c2_1(X1)
              | c1_1(X1)
              | c0_1(X1) ) ) )
      & ( hskp0
        | hskp28
        | ! [X0] :
            ( ndr1_0
           => ( c2_1(X0)
              | c1_1(X0)
              | c0_1(X0) ) ) )
      & ( ( c3_1(a723)
          & c1_1(a723)
          & c0_1(a723)
          & ndr1_0 )
        | ~ hskp31 )
      & ( ( c3_1(a714)
          & c2_1(a714)
          & c0_1(a714)
          & ndr1_0 )
        | ~ hskp30 )
      & ( ( c3_1(a709)
          & c2_1(a709)
          & c1_1(a709)
          & ndr1_0 )
        | ~ hskp29 )
      & ( ( c2_1(a705)
          & c1_1(a705)
          & c0_1(a705)
          & ndr1_0 )
        | ~ hskp28 )
      & ( ( ~ c3_1(a780)
          & ~ c1_1(a780)
          & c2_1(a780)
          & ndr1_0 )
        | ~ hskp27 )
      & ( ( ~ c3_1(a773)
          & c1_1(a773)
          & c0_1(a773)
          & ndr1_0 )
        | ~ hskp26 )
      & ( ( ~ c1_1(a764)
          & c2_1(a764)
          & c0_1(a764)
          & ndr1_0 )
        | ~ hskp25 )
      & ( ( ~ c2_1(a762)
          & c3_1(a762)
          & c0_1(a762)
          & ndr1_0 )
        | ~ hskp24 )
      & ( ( ~ c2_1(a757)
          & c1_1(a757)
          & c0_1(a757)
          & ndr1_0 )
        | ~ hskp23 )
      & ( ( ~ c3_1(a756)
          & c2_1(a756)
          & c1_1(a756)
          & ndr1_0 )
        | ~ hskp22 )
      & ( ( ~ c0_1(a748)
          & c3_1(a748)
          & c2_1(a748)
          & ndr1_0 )
        | ~ hskp21 )
      & ( ( ~ c3_1(a747)
          & ~ c2_1(a747)
          & c1_1(a747)
          & ndr1_0 )
        | ~ hskp20 )
      & ( ( ~ c0_1(a741)
          & c3_1(a741)
          & c1_1(a741)
          & ndr1_0 )
        | ~ hskp19 )
      & ( ( ~ c1_1(a739)
          & c3_1(a739)
          & c2_1(a739)
          & ndr1_0 )
        | ~ hskp18 )
      & ( ( ~ c3_1(a734)
          & ~ c1_1(a734)
          & ~ c0_1(a734)
          & ndr1_0 )
        | ~ hskp17 )
      & ( ( ~ c1_1(a732)
          & c3_1(a732)
          & c0_1(a732)
          & ndr1_0 )
        | ~ hskp16 )
      & ( ( ~ c3_1(a731)
          & ~ c0_1(a731)
          & c2_1(a731)
          & ndr1_0 )
        | ~ hskp15 )
      & ( ( ~ c2_1(a730)
          & c3_1(a730)
          & c1_1(a730)
          & ndr1_0 )
        | ~ hskp14 )
      & ( ( ~ c2_1(a727)
          & ~ c0_1(a727)
          & c3_1(a727)
          & ndr1_0 )
        | ~ hskp13 )
      & ( ( ~ c1_1(a725)
          & ~ c0_1(a725)
          & c2_1(a725)
          & ndr1_0 )
        | ~ hskp12 )
      & ( ( ~ c1_1(a721)
          & ~ c0_1(a721)
          & c3_1(a721)
          & ndr1_0 )
        | ~ hskp11 )
      & ( ( ~ c2_1(a720)
          & ~ c1_1(a720)
          & c3_1(a720)
          & ndr1_0 )
        | ~ hskp10 )
      & ( ( ~ c0_1(a719)
          & c2_1(a719)
          & c1_1(a719)
          & ndr1_0 )
        | ~ hskp9 )
      & ( ( ~ c2_1(a718)
          & ~ c0_1(a718)
          & c1_1(a718)
          & ndr1_0 )
        | ~ hskp8 )
      & ( ( ~ c3_1(a717)
          & ~ c2_1(a717)
          & c0_1(a717)
          & ndr1_0 )
        | ~ hskp7 )
      & ( ( ~ c3_1(a716)
          & c2_1(a716)
          & c0_1(a716)
          & ndr1_0 )
        | ~ hskp6 )
      & ( ( ~ c3_1(a713)
          & ~ c2_1(a713)
          & ~ c0_1(a713)
          & ndr1_0 )
        | ~ hskp5 )
      & ( ( ~ c3_1(a711)
          & ~ c1_1(a711)
          & c0_1(a711)
          & ndr1_0 )
        | ~ hskp4 )
      & ( ( ~ c3_1(a710)
          & ~ c2_1(a710)
          & ~ c1_1(a710)
          & ndr1_0 )
        | ~ hskp3 )
      & ( ( ~ c3_1(a708)
          & ~ c0_1(a708)
          & c1_1(a708)
          & ndr1_0 )
        | ~ hskp2 )
      & ( ( ~ c2_1(a707)
          & ~ c1_1(a707)
          & c0_1(a707)
          & ndr1_0 )
        | ~ hskp1 )
      & ( ( ~ c2_1(a706)
          & ~ c1_1(a706)
          & ~ c0_1(a706)
          & ndr1_0 )
        | ~ hskp0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).

fof(f1064,plain,
    ( ~ spl0_26
    | ~ spl0_160 ),
    inference(avatar_split_clause,[],[f9,f1061,f363]) ).

fof(f9,plain,
    ( ~ c1_1(a706)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1059,plain,
    ( ~ spl0_26
    | ~ spl0_159 ),
    inference(avatar_split_clause,[],[f10,f1056,f363]) ).

fof(f10,plain,
    ( ~ c2_1(a706)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1054,plain,
    ( ~ spl0_13
    | spl0_24 ),
    inference(avatar_split_clause,[],[f11,f356,f305]) ).

fof(f305,plain,
    ( spl0_13
  <=> hskp1 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_13])]) ).

fof(f356,plain,
    ( spl0_24
  <=> ndr1_0 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_24])]) ).

fof(f11,plain,
    ( ndr1_0
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1053,plain,
    ( ~ spl0_13
    | spl0_158 ),
    inference(avatar_split_clause,[],[f12,f1050,f305]) ).

fof(f12,plain,
    ( c0_1(a707)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1048,plain,
    ( ~ spl0_13
    | ~ spl0_157 ),
    inference(avatar_split_clause,[],[f13,f1045,f305]) ).

fof(f13,plain,
    ( ~ c1_1(a707)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1043,plain,
    ( ~ spl0_13
    | ~ spl0_156 ),
    inference(avatar_split_clause,[],[f14,f1040,f305]) ).

fof(f14,plain,
    ( ~ c2_1(a707)
    | ~ hskp1 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1038,plain,
    ( ~ spl0_14
    | spl0_24 ),
    inference(avatar_split_clause,[],[f15,f356,f309]) ).

fof(f309,plain,
    ( spl0_14
  <=> hskp2 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_14])]) ).

fof(f15,plain,
    ( ndr1_0
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1037,plain,
    ( ~ spl0_14
    | spl0_155 ),
    inference(avatar_split_clause,[],[f16,f1034,f309]) ).

fof(f16,plain,
    ( c1_1(a708)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1032,plain,
    ( ~ spl0_14
    | ~ spl0_154 ),
    inference(avatar_split_clause,[],[f17,f1029,f309]) ).

fof(f17,plain,
    ( ~ c0_1(a708)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1027,plain,
    ( ~ spl0_14
    | ~ spl0_153 ),
    inference(avatar_split_clause,[],[f18,f1024,f309]) ).

fof(f18,plain,
    ( ~ c3_1(a708)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1005,plain,
    ( ~ spl0_16
    | spl0_149 ),
    inference(avatar_split_clause,[],[f24,f1002,f318]) ).

fof(f318,plain,
    ( spl0_16
  <=> hskp4 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_16])]) ).

fof(f24,plain,
    ( c0_1(a711)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f1000,plain,
    ( ~ spl0_16
    | ~ spl0_148 ),
    inference(avatar_split_clause,[],[f25,f997,f318]) ).

fof(f25,plain,
    ( ~ c1_1(a711)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f995,plain,
    ( ~ spl0_16
    | ~ spl0_147 ),
    inference(avatar_split_clause,[],[f26,f992,f318]) ).

fof(f26,plain,
    ( ~ c3_1(a711)
    | ~ hskp4 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f984,plain,
    ( ~ spl0_3
    | ~ spl0_145 ),
    inference(avatar_split_clause,[],[f29,f981,f260]) ).

fof(f260,plain,
    ( spl0_3
  <=> hskp5 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f29,plain,
    ( ~ c2_1(a713)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f979,plain,
    ( ~ spl0_3
    | ~ spl0_144 ),
    inference(avatar_split_clause,[],[f30,f976,f260]) ).

fof(f30,plain,
    ( ~ c3_1(a713)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f973,plain,
    ( ~ spl0_17
    | spl0_143 ),
    inference(avatar_split_clause,[],[f32,f970,f323]) ).

fof(f323,plain,
    ( spl0_17
  <=> hskp6 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_17])]) ).

fof(f32,plain,
    ( c0_1(a716)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f968,plain,
    ( ~ spl0_17
    | spl0_142 ),
    inference(avatar_split_clause,[],[f33,f965,f323]) ).

fof(f33,plain,
    ( c2_1(a716)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f963,plain,
    ( ~ spl0_17
    | ~ spl0_141 ),
    inference(avatar_split_clause,[],[f34,f960,f323]) ).

fof(f34,plain,
    ( ~ c3_1(a716)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f957,plain,
    ( ~ spl0_10
    | spl0_140 ),
    inference(avatar_split_clause,[],[f36,f954,f292]) ).

fof(f292,plain,
    ( spl0_10
  <=> hskp7 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_10])]) ).

fof(f36,plain,
    ( c0_1(a717)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f952,plain,
    ( ~ spl0_10
    | ~ spl0_139 ),
    inference(avatar_split_clause,[],[f37,f949,f292]) ).

fof(f37,plain,
    ( ~ c2_1(a717)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f947,plain,
    ( ~ spl0_10
    | ~ spl0_138 ),
    inference(avatar_split_clause,[],[f38,f944,f292]) ).

fof(f38,plain,
    ( ~ c3_1(a717)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f941,plain,
    ( ~ spl0_5
    | spl0_137 ),
    inference(avatar_split_clause,[],[f40,f938,f269]) ).

fof(f269,plain,
    ( spl0_5
  <=> hskp8 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f40,plain,
    ( c1_1(a718)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f936,plain,
    ( ~ spl0_5
    | ~ spl0_136 ),
    inference(avatar_split_clause,[],[f41,f933,f269]) ).

fof(f41,plain,
    ( ~ c0_1(a718)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f931,plain,
    ( ~ spl0_5
    | ~ spl0_135 ),
    inference(avatar_split_clause,[],[f42,f928,f269]) ).

fof(f42,plain,
    ( ~ c2_1(a718)
    | ~ hskp8 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f925,plain,
    ( ~ spl0_6
    | spl0_134 ),
    inference(avatar_split_clause,[],[f44,f922,f274]) ).

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

fof(f44,plain,
    ( c1_1(a719)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f920,plain,
    ( ~ spl0_6
    | spl0_133 ),
    inference(avatar_split_clause,[],[f45,f917,f274]) ).

fof(f45,plain,
    ( c2_1(a719)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f915,plain,
    ( ~ spl0_6
    | ~ spl0_132 ),
    inference(avatar_split_clause,[],[f46,f912,f274]) ).

fof(f46,plain,
    ( ~ c0_1(a719)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f909,plain,
    ( ~ spl0_9
    | spl0_131 ),
    inference(avatar_split_clause,[],[f48,f906,f287]) ).

fof(f287,plain,
    ( spl0_9
  <=> hskp10 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_9])]) ).

fof(f48,plain,
    ( c3_1(a720)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f904,plain,
    ( ~ spl0_9
    | ~ spl0_130 ),
    inference(avatar_split_clause,[],[f49,f901,f287]) ).

fof(f49,plain,
    ( ~ c1_1(a720)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f899,plain,
    ( ~ spl0_9
    | ~ spl0_129 ),
    inference(avatar_split_clause,[],[f50,f896,f287]) ).

fof(f50,plain,
    ( ~ c2_1(a720)
    | ~ hskp10 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f893,plain,
    ( ~ spl0_2
    | spl0_128 ),
    inference(avatar_split_clause,[],[f52,f890,f256]) ).

fof(f256,plain,
    ( spl0_2
  <=> hskp11 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f52,plain,
    ( c3_1(a721)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f883,plain,
    ( ~ spl0_2
    | ~ spl0_126 ),
    inference(avatar_split_clause,[],[f54,f880,f256]) ).

fof(f54,plain,
    ( ~ c1_1(a721)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f877,plain,
    ( ~ spl0_20
    | spl0_125 ),
    inference(avatar_split_clause,[],[f56,f874,f337]) ).

fof(f337,plain,
    ( spl0_20
  <=> hskp12 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_20])]) ).

fof(f56,plain,
    ( c2_1(a725)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f872,plain,
    ( ~ spl0_20
    | ~ spl0_124 ),
    inference(avatar_split_clause,[],[f57,f869,f337]) ).

fof(f57,plain,
    ( ~ c0_1(a725)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f867,plain,
    ( ~ spl0_20
    | ~ spl0_123 ),
    inference(avatar_split_clause,[],[f58,f864,f337]) ).

fof(f58,plain,
    ( ~ c1_1(a725)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f861,plain,
    ( ~ spl0_36
    | spl0_122 ),
    inference(avatar_split_clause,[],[f60,f858,f407]) ).

fof(f407,plain,
    ( spl0_36
  <=> hskp13 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_36])]) ).

fof(f60,plain,
    ( c3_1(a727)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f856,plain,
    ( ~ spl0_36
    | ~ spl0_121 ),
    inference(avatar_split_clause,[],[f61,f853,f407]) ).

fof(f61,plain,
    ( ~ c0_1(a727)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f851,plain,
    ( ~ spl0_36
    | ~ spl0_120 ),
    inference(avatar_split_clause,[],[f62,f848,f407]) ).

fof(f62,plain,
    ( ~ c2_1(a727)
    | ~ hskp13 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f845,plain,
    ( ~ spl0_11
    | spl0_119 ),
    inference(avatar_split_clause,[],[f64,f842,f296]) ).

fof(f296,plain,
    ( spl0_11
  <=> hskp14 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_11])]) ).

fof(f64,plain,
    ( c1_1(a730)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f835,plain,
    ( ~ spl0_11
    | ~ spl0_117 ),
    inference(avatar_split_clause,[],[f66,f832,f296]) ).

fof(f66,plain,
    ( ~ c2_1(a730)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f813,plain,
    ( ~ spl0_15
    | spl0_113 ),
    inference(avatar_split_clause,[],[f72,f810,f314]) ).

fof(f314,plain,
    ( spl0_15
  <=> hskp16 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_15])]) ).

fof(f72,plain,
    ( c0_1(a732)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f808,plain,
    ( ~ spl0_15
    | spl0_112 ),
    inference(avatar_split_clause,[],[f73,f805,f314]) ).

fof(f73,plain,
    ( c3_1(a732)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f803,plain,
    ( ~ spl0_15
    | ~ spl0_111 ),
    inference(avatar_split_clause,[],[f74,f800,f314]) ).

fof(f74,plain,
    ( ~ c1_1(a732)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f797,plain,
    ( ~ spl0_23
    | ~ spl0_110 ),
    inference(avatar_split_clause,[],[f76,f794,f351]) ).

fof(f351,plain,
    ( spl0_23
  <=> hskp17 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_23])]) ).

fof(f76,plain,
    ( ~ c0_1(a734)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f792,plain,
    ( ~ spl0_23
    | ~ spl0_109 ),
    inference(avatar_split_clause,[],[f77,f789,f351]) ).

fof(f77,plain,
    ( ~ c1_1(a734)
    | ~ hskp17 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f781,plain,
    ( ~ spl0_1
    | spl0_107 ),
    inference(avatar_split_clause,[],[f80,f778,f252]) ).

fof(f252,plain,
    ( spl0_1
  <=> hskp18 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f80,plain,
    ( c2_1(a739)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f776,plain,
    ( ~ spl0_1
    | spl0_106 ),
    inference(avatar_split_clause,[],[f81,f773,f252]) ).

fof(f81,plain,
    ( c3_1(a739)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f771,plain,
    ( ~ spl0_1
    | ~ spl0_105 ),
    inference(avatar_split_clause,[],[f82,f768,f252]) ).

fof(f82,plain,
    ( ~ c1_1(a739)
    | ~ hskp18 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f765,plain,
    ( ~ spl0_33
    | spl0_104 ),
    inference(avatar_split_clause,[],[f84,f762,f391]) ).

fof(f391,plain,
    ( spl0_33
  <=> hskp19 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_33])]) ).

fof(f84,plain,
    ( c1_1(a741)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f760,plain,
    ( ~ spl0_33
    | spl0_103 ),
    inference(avatar_split_clause,[],[f85,f757,f391]) ).

fof(f85,plain,
    ( c3_1(a741)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f755,plain,
    ( ~ spl0_33
    | ~ spl0_102 ),
    inference(avatar_split_clause,[],[f86,f752,f391]) ).

fof(f86,plain,
    ( ~ c0_1(a741)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f749,plain,
    ( ~ spl0_7
    | spl0_101 ),
    inference(avatar_split_clause,[],[f88,f746,f278]) ).

fof(f278,plain,
    ( spl0_7
  <=> hskp20 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f88,plain,
    ( c1_1(a747)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f739,plain,
    ( ~ spl0_7
    | ~ spl0_99 ),
    inference(avatar_split_clause,[],[f90,f736,f278]) ).

fof(f90,plain,
    ( ~ c3_1(a747)
    | ~ hskp20 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f728,plain,
    ( ~ spl0_18
    | spl0_97 ),
    inference(avatar_split_clause,[],[f93,f725,f328]) ).

fof(f328,plain,
    ( spl0_18
  <=> hskp21 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_18])]) ).

fof(f93,plain,
    ( c3_1(a748)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f723,plain,
    ( ~ spl0_18
    | ~ spl0_96 ),
    inference(avatar_split_clause,[],[f94,f720,f328]) ).

fof(f94,plain,
    ( ~ c0_1(a748)
    | ~ hskp21 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f717,plain,
    ( ~ spl0_4
    | spl0_95 ),
    inference(avatar_split_clause,[],[f96,f714,f265]) ).

fof(f265,plain,
    ( spl0_4
  <=> hskp22 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f96,plain,
    ( c1_1(a756)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f712,plain,
    ( ~ spl0_4
    | spl0_94 ),
    inference(avatar_split_clause,[],[f97,f709,f265]) ).

fof(f97,plain,
    ( c2_1(a756)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f707,plain,
    ( ~ spl0_4
    | ~ spl0_93 ),
    inference(avatar_split_clause,[],[f98,f704,f265]) ).

fof(f98,plain,
    ( ~ c3_1(a756)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f701,plain,
    ( ~ spl0_21
    | spl0_92 ),
    inference(avatar_split_clause,[],[f100,f698,f343]) ).

fof(f343,plain,
    ( spl0_21
  <=> hskp23 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_21])]) ).

fof(f100,plain,
    ( c0_1(a757)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f696,plain,
    ( ~ spl0_21
    | spl0_91 ),
    inference(avatar_split_clause,[],[f101,f693,f343]) ).

fof(f101,plain,
    ( c1_1(a757)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f691,plain,
    ( ~ spl0_21
    | ~ spl0_90 ),
    inference(avatar_split_clause,[],[f102,f688,f343]) ).

fof(f102,plain,
    ( ~ c2_1(a757)
    | ~ hskp23 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f686,plain,
    ( ~ spl0_12
    | spl0_24 ),
    inference(avatar_split_clause,[],[f103,f356,f301]) ).

fof(f301,plain,
    ( spl0_12
  <=> hskp24 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_12])]) ).

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

fof(f685,plain,
    ( ~ spl0_12
    | spl0_89 ),
    inference(avatar_split_clause,[],[f104,f682,f301]) ).

fof(f104,plain,
    ( c0_1(a762)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f680,plain,
    ( ~ spl0_12
    | spl0_88 ),
    inference(avatar_split_clause,[],[f105,f677,f301]) ).

fof(f105,plain,
    ( c3_1(a762)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f675,plain,
    ( ~ spl0_12
    | ~ spl0_87 ),
    inference(avatar_split_clause,[],[f106,f672,f301]) ).

fof(f106,plain,
    ( ~ c2_1(a762)
    | ~ hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f669,plain,
    ( ~ spl0_19
    | spl0_86 ),
    inference(avatar_split_clause,[],[f108,f666,f333]) ).

fof(f333,plain,
    ( spl0_19
  <=> hskp25 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_19])]) ).

fof(f108,plain,
    ( c0_1(a764)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f664,plain,
    ( ~ spl0_19
    | spl0_85 ),
    inference(avatar_split_clause,[],[f109,f661,f333]) ).

fof(f109,plain,
    ( c2_1(a764)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f659,plain,
    ( ~ spl0_19
    | ~ spl0_84 ),
    inference(avatar_split_clause,[],[f110,f656,f333]) ).

fof(f110,plain,
    ( ~ c1_1(a764)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f637,plain,
    ( ~ spl0_30
    | spl0_80 ),
    inference(avatar_split_clause,[],[f116,f634,f379]) ).

fof(f379,plain,
    ( spl0_30
  <=> hskp27 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_30])]) ).

fof(f116,plain,
    ( c2_1(a780)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f627,plain,
    ( ~ spl0_30
    | ~ spl0_78 ),
    inference(avatar_split_clause,[],[f118,f624,f379]) ).

fof(f118,plain,
    ( ~ c3_1(a780)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f621,plain,
    ( ~ spl0_34
    | spl0_77 ),
    inference(avatar_split_clause,[],[f120,f618,f398]) ).

fof(f398,plain,
    ( spl0_34
  <=> hskp28 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_34])]) ).

fof(f120,plain,
    ( c0_1(a705)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f616,plain,
    ( ~ spl0_34
    | spl0_76 ),
    inference(avatar_split_clause,[],[f121,f613,f398]) ).

fof(f121,plain,
    ( c1_1(a705)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f611,plain,
    ( ~ spl0_34
    | spl0_75 ),
    inference(avatar_split_clause,[],[f122,f608,f398]) ).

fof(f122,plain,
    ( c2_1(a705)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f605,plain,
    ( ~ spl0_8
    | spl0_74 ),
    inference(avatar_split_clause,[],[f124,f602,f283]) ).

fof(f283,plain,
    ( spl0_8
  <=> hskp29 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_8])]) ).

fof(f124,plain,
    ( c1_1(a709)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f600,plain,
    ( ~ spl0_8
    | spl0_73 ),
    inference(avatar_split_clause,[],[f125,f597,f283]) ).

fof(f125,plain,
    ( c2_1(a709)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f595,plain,
    ( ~ spl0_8
    | spl0_72 ),
    inference(avatar_split_clause,[],[f126,f592,f283]) ).

fof(f126,plain,
    ( c3_1(a709)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f589,plain,
    ( ~ spl0_22
    | spl0_71 ),
    inference(avatar_split_clause,[],[f128,f586,f347]) ).

fof(f347,plain,
    ( spl0_22
  <=> hskp30 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_22])]) ).

fof(f128,plain,
    ( c0_1(a714)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f584,plain,
    ( ~ spl0_22
    | spl0_70 ),
    inference(avatar_split_clause,[],[f129,f581,f347]) ).

fof(f129,plain,
    ( c2_1(a714)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f579,plain,
    ( ~ spl0_22
    | spl0_69 ),
    inference(avatar_split_clause,[],[f130,f576,f347]) ).

fof(f130,plain,
    ( c3_1(a714)
    | ~ hskp30 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f573,plain,
    ( ~ spl0_28
    | spl0_68 ),
    inference(avatar_split_clause,[],[f132,f570,f371]) ).

fof(f371,plain,
    ( spl0_28
  <=> hskp31 ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_28])]) ).

fof(f132,plain,
    ( c0_1(a723)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f568,plain,
    ( ~ spl0_28
    | spl0_67 ),
    inference(avatar_split_clause,[],[f133,f565,f371]) ).

fof(f133,plain,
    ( c1_1(a723)
    | ~ hskp31 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f557,plain,
    ( ~ spl0_24
    | spl0_65
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f136,f309,f305,f555,f356]) ).

fof(f136,plain,
    ! [X114] :
      ( hskp2
      | hskp1
      | c2_1(X114)
      | c1_1(X114)
      | c0_1(X114)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f553,plain,
    ( spl0_64
    | spl0_62
    | ~ spl0_24
    | spl0_31 ),
    inference(avatar_split_clause,[],[f215,f384,f356,f537,f548]) ).

fof(f215,plain,
    ! [X113,X111,X112] :
      ( ~ c3_1(X111)
      | ~ c2_1(X111)
      | ~ c0_1(X111)
      | ~ ndr1_0
      | ~ c2_1(X112)
      | c1_1(X112)
      | c0_1(X112)
      | c3_1(X113)
      | c1_1(X113)
      | c0_1(X113) ),
    inference(duplicate_literal_removal,[],[f137]) ).

fof(f137,plain,
    ! [X113,X111,X112] :
      ( ~ c3_1(X111)
      | ~ c2_1(X111)
      | ~ c0_1(X111)
      | ~ ndr1_0
      | ~ c2_1(X112)
      | c1_1(X112)
      | c0_1(X112)
      | ~ ndr1_0
      | c3_1(X113)
      | c1_1(X113)
      | c0_1(X113)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f546,plain,
    ( spl0_62
    | spl0_59
    | ~ spl0_24
    | spl0_46 ),
    inference(avatar_split_clause,[],[f219,f458,f356,f523,f537]) ).

fof(f219,plain,
    ! [X101,X102,X103] :
      ( ~ c3_1(X101)
      | ~ c2_1(X101)
      | c0_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ c2_1(X103)
      | c1_1(X103)
      | c0_1(X103) ),
    inference(duplicate_literal_removal,[],[f141]) ).

fof(f141,plain,
    ! [X101,X102,X103] :
      ( ~ c3_1(X101)
      | ~ c2_1(X101)
      | c0_1(X101)
      | ~ ndr1_0
      | ~ c3_1(X102)
      | c1_1(X102)
      | c0_1(X102)
      | ~ ndr1_0
      | ~ c2_1(X103)
      | c1_1(X103)
      | c0_1(X103)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f544,plain,
    ( spl0_62
    | ~ spl0_24
    | spl0_51
    | spl0_16 ),
    inference(avatar_split_clause,[],[f221,f318,f482,f356,f537]) ).

fof(f221,plain,
    ! [X96,X97] :
      ( hskp4
      | ~ c2_1(X96)
      | c3_1(X96)
      | c0_1(X96)
      | ~ ndr1_0
      | ~ c2_1(X97)
      | c1_1(X97)
      | c0_1(X97) ),
    inference(duplicate_literal_removal,[],[f143]) ).

fof(f143,plain,
    ! [X96,X97] :
      ( hskp4
      | ~ c2_1(X96)
      | c3_1(X96)
      | c0_1(X96)
      | ~ ndr1_0
      | ~ c2_1(X97)
      | c1_1(X97)
      | c0_1(X97)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f543,plain,
    ( spl0_62
    | spl0_39
    | ~ spl0_24
    | spl0_63 ),
    inference(avatar_split_clause,[],[f222,f541,f356,f421,f537]) ).

fof(f222,plain,
    ! [X94,X95,X93] :
      ( ~ c3_1(X93)
      | ~ c2_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | ~ c3_1(X94)
      | ~ c2_1(X94)
      | c1_1(X94)
      | ~ c2_1(X95)
      | c1_1(X95)
      | c0_1(X95) ),
    inference(duplicate_literal_removal,[],[f144]) ).

fof(f144,plain,
    ! [X94,X95,X93] :
      ( ~ c3_1(X93)
      | ~ c2_1(X93)
      | ~ c1_1(X93)
      | ~ ndr1_0
      | ~ c3_1(X94)
      | ~ c2_1(X94)
      | c1_1(X94)
      | ~ ndr1_0
      | ~ c2_1(X95)
      | c1_1(X95)
      | c0_1(X95)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f539,plain,
    ( ~ spl0_24
    | spl0_62
    | spl0_16
    | spl0_3 ),
    inference(avatar_split_clause,[],[f145,f260,f318,f537,f356]) ).

fof(f145,plain,
    ! [X92] :
      ( hskp5
      | hskp4
      | ~ c2_1(X92)
      | c1_1(X92)
      | c0_1(X92)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f535,plain,
    ( spl0_59
    | spl0_58
    | ~ spl0_24
    | spl0_27 ),
    inference(avatar_split_clause,[],[f223,f368,f356,f518,f523]) ).

fof(f223,plain,
    ! [X90,X91,X89] :
      ( ~ c2_1(X89)
      | ~ c0_1(X89)
      | c3_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91) ),
    inference(duplicate_literal_removal,[],[f146]) ).

fof(f146,plain,
    ! [X90,X91,X89] :
      ( ~ c2_1(X89)
      | ~ c0_1(X89)
      | c3_1(X89)
      | ~ ndr1_0
      | c3_1(X90)
      | c2_1(X90)
      | c0_1(X90)
      | ~ ndr1_0
      | ~ c3_1(X91)
      | c1_1(X91)
      | c0_1(X91)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f534,plain,
    ( spl0_59
    | ~ spl0_24
    | spl0_61
    | spl0_22 ),
    inference(avatar_split_clause,[],[f224,f347,f532,f356,f523]) ).

fof(f224,plain,
    ! [X88,X87] :
      ( hskp30
      | ~ c2_1(X87)
      | ~ c0_1(X87)
      | c1_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88) ),
    inference(duplicate_literal_removal,[],[f147]) ).

fof(f147,plain,
    ! [X88,X87] :
      ( hskp30
      | ~ c2_1(X87)
      | ~ c0_1(X87)
      | c1_1(X87)
      | ~ ndr1_0
      | ~ c3_1(X88)
      | c1_1(X88)
      | c0_1(X88)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f530,plain,
    ( spl0_59
    | ~ spl0_24
    | spl0_38
    | spl0_8 ),
    inference(avatar_split_clause,[],[f225,f283,f417,f356,f523]) ).

fof(f225,plain,
    ! [X86,X85] :
      ( hskp29
      | ~ c0_1(X85)
      | c3_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | c1_1(X86)
      | c0_1(X86) ),
    inference(duplicate_literal_removal,[],[f148]) ).

fof(f148,plain,
    ! [X86,X85] :
      ( hskp29
      | ~ c0_1(X85)
      | c3_1(X85)
      | c2_1(X85)
      | ~ ndr1_0
      | ~ c3_1(X86)
      | c1_1(X86)
      | c0_1(X86)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f529,plain,
    ( spl0_59
    | ~ spl0_24
    | spl0_60
    | spl0_17 ),
    inference(avatar_split_clause,[],[f226,f323,f527,f356,f523]) ).

fof(f226,plain,
    ! [X83,X84] :
      ( hskp6
      | ~ c3_1(X83)
      | ~ c1_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c1_1(X84)
      | c0_1(X84) ),
    inference(duplicate_literal_removal,[],[f149]) ).

fof(f149,plain,
    ! [X83,X84] :
      ( hskp6
      | ~ c3_1(X83)
      | ~ c1_1(X83)
      | c2_1(X83)
      | ~ ndr1_0
      | ~ c3_1(X84)
      | c1_1(X84)
      | c0_1(X84)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f525,plain,
    ( ~ spl0_24
    | spl0_59
    | spl0_10
    | spl0_5 ),
    inference(avatar_split_clause,[],[f150,f269,f292,f523,f356]) ).

fof(f150,plain,
    ! [X82] :
      ( hskp8
      | hskp7
      | ~ c3_1(X82)
      | c1_1(X82)
      | c0_1(X82)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f521,plain,
    ( spl0_58
    | spl0_44
    | ~ spl0_24
    | spl0_31 ),
    inference(avatar_split_clause,[],[f227,f384,f356,f447,f518]) ).

fof(f227,plain,
    ! [X80,X81,X79] :
      ( ~ c3_1(X79)
      | ~ c2_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | c2_1(X80)
      | c1_1(X80)
      | c3_1(X81)
      | c2_1(X81)
      | c0_1(X81) ),
    inference(duplicate_literal_removal,[],[f151]) ).

fof(f151,plain,
    ! [X80,X81,X79] :
      ( ~ c3_1(X79)
      | ~ c2_1(X79)
      | ~ c0_1(X79)
      | ~ ndr1_0
      | ~ c0_1(X80)
      | c2_1(X80)
      | c1_1(X80)
      | ~ ndr1_0
      | c3_1(X81)
      | c2_1(X81)
      | c0_1(X81)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f516,plain,
    ( spl0_57
    | spl0_44
    | ~ spl0_24
    | spl0_43 ),
    inference(avatar_split_clause,[],[f228,f441,f356,f447,f508]) ).

fof(f228,plain,
    ! [X76,X77,X75] :
      ( ~ c3_1(X75)
      | c2_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | c2_1(X76)
      | c1_1(X76)
      | ~ c1_1(X77)
      | c2_1(X77)
      | c0_1(X77) ),
    inference(duplicate_literal_removal,[],[f153]) ).

fof(f153,plain,
    ! [X76,X77,X75] :
      ( ~ c3_1(X75)
      | c2_1(X75)
      | c1_1(X75)
      | ~ ndr1_0
      | ~ c0_1(X76)
      | c2_1(X76)
      | c1_1(X76)
      | ~ ndr1_0
      | ~ c1_1(X77)
      | c2_1(X77)
      | c0_1(X77)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f515,plain,
    ( spl0_57
    | spl0_39
    | ~ spl0_24
    | spl0_47 ),
    inference(avatar_split_clause,[],[f229,f462,f356,f421,f508]) ).

fof(f229,plain,
    ! [X72,X73,X74] :
      ( ~ c2_1(X72)
      | ~ c1_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | c1_1(X73)
      | ~ c1_1(X74)
      | c2_1(X74)
      | c0_1(X74) ),
    inference(duplicate_literal_removal,[],[f154]) ).

fof(f154,plain,
    ! [X72,X73,X74] :
      ( ~ c2_1(X72)
      | ~ c1_1(X72)
      | ~ c0_1(X72)
      | ~ ndr1_0
      | ~ c3_1(X73)
      | ~ c2_1(X73)
      | c1_1(X73)
      | ~ ndr1_0
      | ~ c1_1(X74)
      | c2_1(X74)
      | c0_1(X74)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f514,plain,
    ( spl0_57
    | ~ spl0_24
    | spl0_39
    | spl0_2 ),
    inference(avatar_split_clause,[],[f230,f256,f421,f356,f508]) ).

fof(f230,plain,
    ! [X70,X71] :
      ( hskp11
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c1_1(X70)
      | ~ ndr1_0
      | ~ c1_1(X71)
      | c2_1(X71)
      | c0_1(X71) ),
    inference(duplicate_literal_removal,[],[f155]) ).

fof(f155,plain,
    ! [X70,X71] :
      ( hskp11
      | ~ c3_1(X70)
      | ~ c2_1(X70)
      | c1_1(X70)
      | ~ ndr1_0
      | ~ c1_1(X71)
      | c2_1(X71)
      | c0_1(X71)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f513,plain,
    ( spl0_57
    | ~ spl0_24
    | spl0_29
    | spl0_34 ),
    inference(avatar_split_clause,[],[f231,f398,f376,f356,f508]) ).

fof(f231,plain,
    ! [X68,X69] :
      ( hskp28
      | ~ c1_1(X68)
      | ~ c0_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c2_1(X69)
      | c0_1(X69) ),
    inference(duplicate_literal_removal,[],[f156]) ).

fof(f156,plain,
    ! [X68,X69] :
      ( hskp28
      | ~ c1_1(X68)
      | ~ c0_1(X68)
      | c3_1(X68)
      | ~ ndr1_0
      | ~ c1_1(X69)
      | c2_1(X69)
      | c0_1(X69)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f511,plain,
    ( ~ spl0_24
    | spl0_57
    | spl0_13
    | spl0_20 ),
    inference(avatar_split_clause,[],[f158,f337,f305,f508,f356]) ).

fof(f158,plain,
    ! [X65] :
      ( hskp12
      | hskp1
      | ~ c1_1(X65)
      | c2_1(X65)
      | c0_1(X65)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f510,plain,
    ( ~ spl0_24
    | spl0_57
    | spl0_5
    | spl0_36 ),
    inference(avatar_split_clause,[],[f159,f407,f269,f508,f356]) ).

fof(f159,plain,
    ! [X64] :
      ( hskp13
      | hskp8
      | ~ c1_1(X64)
      | c2_1(X64)
      | c0_1(X64)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f506,plain,
    ( ~ spl0_24
    | spl0_56
    | spl0_22
    | spl0_10 ),
    inference(avatar_split_clause,[],[f160,f292,f347,f503,f356]) ).

fof(f160,plain,
    ! [X63] :
      ( hskp7
      | hskp30
      | ~ c3_1(X63)
      | c2_1(X63)
      | c0_1(X63)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f501,plain,
    ( spl0_53
    | ~ spl0_24
    | spl0_55
    | spl0_15 ),
    inference(avatar_split_clause,[],[f233,f314,f499,f356,f491]) ).

fof(f233,plain,
    ! [X60,X61] :
      ( hskp16
      | ~ c3_1(X60)
      | ~ c0_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61) ),
    inference(duplicate_literal_removal,[],[f162]) ).

fof(f162,plain,
    ! [X60,X61] :
      ( hskp16
      | ~ c3_1(X60)
      | ~ c0_1(X60)
      | c2_1(X60)
      | ~ ndr1_0
      | ~ c1_1(X61)
      | c3_1(X61)
      | c0_1(X61)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f489,plain,
    ( spl0_51
    | ~ spl0_24
    | spl0_39
    | spl0_8 ),
    inference(avatar_split_clause,[],[f234,f283,f421,f356,f482]) ).

fof(f234,plain,
    ! [X58,X57] :
      ( hskp29
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | c3_1(X58)
      | c0_1(X58) ),
    inference(duplicate_literal_removal,[],[f164]) ).

fof(f164,plain,
    ! [X58,X57] :
      ( hskp29
      | ~ c3_1(X57)
      | ~ c2_1(X57)
      | c1_1(X57)
      | ~ ndr1_0
      | ~ c2_1(X58)
      | c3_1(X58)
      | c0_1(X58)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f480,plain,
    ( ~ spl0_24
    | spl0_50
    | spl0_34
    | spl0_1 ),
    inference(avatar_split_clause,[],[f166,f252,f398,f478,f356]) ).

fof(f166,plain,
    ! [X55] :
      ( hskp18
      | hskp28
      | ~ c2_1(X55)
      | ~ c1_1(X55)
      | c0_1(X55)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f476,plain,
    ( spl0_48
    | ~ spl0_24
    | spl0_40
    | spl0_14 ),
    inference(avatar_split_clause,[],[f235,f309,f426,f356,f467]) ).

fof(f235,plain,
    ! [X54,X53] :
      ( hskp2
      | ~ c3_1(X53)
      | ~ c0_1(X53)
      | c1_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54) ),
    inference(duplicate_literal_removal,[],[f167]) ).

fof(f167,plain,
    ! [X54,X53] :
      ( hskp2
      | ~ c3_1(X53)
      | ~ c0_1(X53)
      | c1_1(X53)
      | ~ ndr1_0
      | ~ c3_1(X54)
      | ~ c1_1(X54)
      | c0_1(X54)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f471,plain,
    ( spl0_48
    | ~ spl0_24
    | spl0_31
    | spl0_34 ),
    inference(avatar_split_clause,[],[f237,f398,f384,f356,f467]) ).

fof(f237,plain,
    ! [X50,X49] :
      ( hskp28
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50) ),
    inference(duplicate_literal_removal,[],[f169]) ).

fof(f169,plain,
    ! [X50,X49] :
      ( hskp28
      | ~ c3_1(X49)
      | ~ c2_1(X49)
      | ~ c0_1(X49)
      | ~ ndr1_0
      | ~ c3_1(X50)
      | ~ c1_1(X50)
      | c0_1(X50)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f470,plain,
    ( ~ spl0_24
    | spl0_48
    | spl0_13
    | spl0_5 ),
    inference(avatar_split_clause,[],[f170,f269,f305,f467,f356]) ).

fof(f170,plain,
    ! [X48] :
      ( hskp8
      | hskp1
      | ~ c3_1(X48)
      | ~ c1_1(X48)
      | c0_1(X48)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f469,plain,
    ( ~ spl0_24
    | spl0_48
    | spl0_1
    | spl0_23 ),
    inference(avatar_split_clause,[],[f171,f351,f252,f467,f356]) ).

fof(f171,plain,
    ! [X47] :
      ( hskp17
      | hskp18
      | ~ c3_1(X47)
      | ~ c1_1(X47)
      | c0_1(X47)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f464,plain,
    ( spl0_46
    | spl0_27
    | ~ spl0_24
    | spl0_47 ),
    inference(avatar_split_clause,[],[f239,f462,f356,f368,f458]) ).

fof(f239,plain,
    ! [X44,X42,X43] :
      ( ~ c2_1(X42)
      | ~ c1_1(X42)
      | ~ c0_1(X42)
      | ~ ndr1_0
      | ~ c2_1(X43)
      | ~ c0_1(X43)
      | c3_1(X43)
      | ~ c3_1(X44)
      | ~ c2_1(X44)
      | c0_1(X44) ),
    inference(duplicate_literal_removal,[],[f173]) ).

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

fof(f460,plain,
    ( ~ spl0_24
    | spl0_46
    | spl0_18
    | spl0_23 ),
    inference(avatar_split_clause,[],[f174,f351,f328,f458,f356]) ).

fof(f174,plain,
    ! [X41] :
      ( hskp17
      | hskp21
      | ~ c3_1(X41)
      | ~ c2_1(X41)
      | c0_1(X41)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f451,plain,
    ( ~ spl0_24
    | spl0_44
    | spl0_22
    | spl0_1 ),
    inference(avatar_split_clause,[],[f177,f252,f347,f447,f356]) ).

fof(f177,plain,
    ! [X35] :
      ( hskp18
      | hskp30
      | ~ c0_1(X35)
      | c2_1(X35)
      | c1_1(X35)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f450,plain,
    ( ~ spl0_24
    | spl0_44
    | spl0_17
    | spl0_36 ),
    inference(avatar_split_clause,[],[f178,f407,f323,f447,f356]) ).

fof(f178,plain,
    ! [X34] :
      ( hskp13
      | hskp6
      | ~ c0_1(X34)
      | c2_1(X34)
      | c1_1(X34)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f449,plain,
    ( ~ spl0_24
    | spl0_44
    | spl0_15
    | spl0_4 ),
    inference(avatar_split_clause,[],[f179,f265,f314,f447,f356]) ).

fof(f179,plain,
    ! [X33] :
      ( hskp22
      | hskp16
      | ~ c0_1(X33)
      | c2_1(X33)
      | c1_1(X33)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f445,plain,
    ( spl0_43
    | ~ spl0_24
    | spl0_40
    | spl0_21 ),
    inference(avatar_split_clause,[],[f242,f343,f426,f356,f441]) ).

fof(f242,plain,
    ! [X31,X32] :
      ( hskp23
      | ~ c3_1(X31)
      | ~ c0_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | c2_1(X32)
      | c1_1(X32) ),
    inference(duplicate_literal_removal,[],[f180]) ).

fof(f180,plain,
    ! [X31,X32] :
      ( hskp23
      | ~ c3_1(X31)
      | ~ c0_1(X31)
      | c1_1(X31)
      | ~ ndr1_0
      | ~ c3_1(X32)
      | c2_1(X32)
      | c1_1(X32)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f444,plain,
    ( spl0_43
    | ~ spl0_24
    | spl0_25 ),
    inference(avatar_split_clause,[],[f243,f360,f356,f441]) ).

fof(f243,plain,
    ! [X29,X30] :
      ( ~ c2_1(X29)
      | ~ c1_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c3_1(X30)
      | c2_1(X30)
      | c1_1(X30) ),
    inference(duplicate_literal_removal,[],[f181]) ).

fof(f181,plain,
    ! [X29,X30] :
      ( ~ c2_1(X29)
      | ~ c1_1(X29)
      | c3_1(X29)
      | ~ ndr1_0
      | ~ c3_1(X30)
      | c2_1(X30)
      | c1_1(X30)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f435,plain,
    ( spl0_41
    | ~ spl0_24
    | spl0_38
    | spl0_36 ),
    inference(avatar_split_clause,[],[f245,f407,f417,f356,f432]) ).

fof(f245,plain,
    ! [X24,X25] :
      ( hskp13
      | ~ c0_1(X24)
      | c3_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X25) ),
    inference(duplicate_literal_removal,[],[f184]) ).

fof(f184,plain,
    ! [X24,X25] :
      ( hskp13
      | ~ c0_1(X24)
      | c3_1(X24)
      | c2_1(X24)
      | ~ ndr1_0
      | ~ c2_1(X25)
      | c3_1(X25)
      | c1_1(X25)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f434,plain,
    ( ~ spl0_24
    | spl0_41
    | spl0_12
    | spl0_1 ),
    inference(avatar_split_clause,[],[f185,f252,f301,f432,f356]) ).

fof(f185,plain,
    ! [X23] :
      ( hskp18
      | hskp24
      | ~ c2_1(X23)
      | c3_1(X23)
      | c1_1(X23)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f423,plain,
    ( ~ spl0_24
    | spl0_39
    | spl0_22
    | spl0_4 ),
    inference(avatar_split_clause,[],[f190,f265,f347,f421,f356]) ).

fof(f190,plain,
    ! [X16] :
      ( hskp22
      | hskp30
      | ~ c3_1(X16)
      | ~ c2_1(X16)
      | c1_1(X16)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f419,plain,
    ( spl0_38
    | ~ spl0_24
    | spl0_29
    | spl0_15 ),
    inference(avatar_split_clause,[],[f248,f314,f376,f356,f417]) ).

fof(f248,plain,
    ! [X14,X15] :
      ( hskp16
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | c3_1(X15)
      | c2_1(X15) ),
    inference(duplicate_literal_removal,[],[f191]) ).

fof(f191,plain,
    ! [X14,X15] :
      ( hskp16
      | ~ c1_1(X14)
      | ~ c0_1(X14)
      | c3_1(X14)
      | ~ ndr1_0
      | ~ c0_1(X15)
      | c3_1(X15)
      | c2_1(X15)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f402,plain,
    ( spl0_32
    | spl0_29
    | ~ spl0_24
    | spl0_27 ),
    inference(avatar_split_clause,[],[f249,f368,f356,f376,f388]) ).

fof(f249,plain,
    ! [X10,X11,X9] :
      ( ~ c2_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11) ),
    inference(duplicate_literal_removal,[],[f194]) ).

fof(f194,plain,
    ! [X10,X11,X9] :
      ( ~ c2_1(X9)
      | ~ c0_1(X9)
      | c3_1(X9)
      | ~ ndr1_0
      | ~ c1_1(X10)
      | ~ c0_1(X10)
      | c3_1(X10)
      | ~ ndr1_0
      | ~ c1_1(X11)
      | ~ c0_1(X11)
      | c2_1(X11)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f395,plain,
    ( ~ spl0_24
    | spl0_32
    | spl0_15
    | spl0_23 ),
    inference(avatar_split_clause,[],[f197,f351,f314,f388,f356]) ).

fof(f197,plain,
    ! [X6] :
      ( hskp17
      | hskp16
      | ~ c1_1(X6)
      | ~ c0_1(X6)
      | c2_1(X6)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f394,plain,
    ( ~ spl0_24
    | spl0_32
    | spl0_33
    | spl0_5 ),
    inference(avatar_split_clause,[],[f198,f269,f391,f388,f356]) ).

fof(f198,plain,
    ! [X5] :
      ( hskp8
      | hskp19
      | ~ c1_1(X5)
      | ~ c0_1(X5)
      | c2_1(X5)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f386,plain,
    ( spl0_29
    | ~ spl0_24
    | spl0_31
    | spl0_14 ),
    inference(avatar_split_clause,[],[f250,f309,f384,f356,f376]) ).

fof(f250,plain,
    ! [X3,X4] :
      ( hskp2
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4) ),
    inference(duplicate_literal_removal,[],[f199]) ).

fof(f199,plain,
    ! [X3,X4] :
      ( hskp2
      | ~ c3_1(X3)
      | ~ c2_1(X3)
      | ~ c0_1(X3)
      | ~ ndr1_0
      | ~ c1_1(X4)
      | ~ c0_1(X4)
      | c3_1(X4)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f382,plain,
    ( ~ spl0_24
    | spl0_29
    | spl0_10
    | spl0_30 ),
    inference(avatar_split_clause,[],[f200,f379,f292,f376,f356]) ).

fof(f200,plain,
    ! [X2] :
      ( hskp27
      | hskp7
      | ~ c1_1(X2)
      | ~ c0_1(X2)
      | c3_1(X2)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f374,plain,
    ( ~ spl0_24
    | spl0_27
    | spl0_28
    | spl0_13 ),
    inference(avatar_split_clause,[],[f201,f305,f371,f368,f356]) ).

fof(f201,plain,
    ! [X1] :
      ( hskp1
      | hskp31
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | c3_1(X1)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f366,plain,
    ( ~ spl0_24
    | spl0_25
    | spl0_5
    | spl0_26 ),
    inference(avatar_split_clause,[],[f202,f363,f269,f360,f356]) ).

fof(f202,plain,
    ! [X0] :
      ( hskp0
      | hskp8
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f341,plain,
    ( spl0_19
    | spl0_8
    | spl0_6 ),
    inference(avatar_split_clause,[],[f204,f274,f283,f333]) ).

fof(f204,plain,
    ( hskp9
    | hskp29
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f340,plain,
    ( spl0_19
    | spl0_1
    | spl0_20 ),
    inference(avatar_split_clause,[],[f205,f337,f252,f333]) ).

fof(f205,plain,
    ( hskp12
    | hskp18
    | hskp25 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f326,plain,
    ( spl0_17
    | spl0_5
    | spl0_1 ),
    inference(avatar_split_clause,[],[f207,f252,f269,f323]) ).

fof(f207,plain,
    ( hskp18
    | hskp8
    | hskp6 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f321,plain,
    ( spl0_15
    | spl0_12
    | spl0_16 ),
    inference(avatar_split_clause,[],[f208,f318,f301,f314]) ).

fof(f208,plain,
    ( hskp4
    | hskp24
    | hskp16 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f312,plain,
    ( spl0_12
    | spl0_13
    | spl0_14 ),
    inference(avatar_split_clause,[],[f209,f309,f305,f301]) ).

fof(f209,plain,
    ( hskp2
    | hskp1
    | hskp24 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f299,plain,
    ( spl0_10
    | spl0_11
    | spl0_5 ),
    inference(avatar_split_clause,[],[f210,f269,f296,f292]) ).

fof(f210,plain,
    ( hskp8
    | hskp14
    | hskp7 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f290,plain,
    ( spl0_8
    | spl0_1
    | spl0_9 ),
    inference(avatar_split_clause,[],[f211,f287,f252,f283]) ).

fof(f211,plain,
    ( hskp10
    | hskp18
    | hskp29 ),
    inference(cnf_transformation,[],[f6]) ).

fof(f281,plain,
    ( spl0_6
    | spl0_7
    | spl0_1 ),
    inference(avatar_split_clause,[],[f212,f252,f278,f274]) ).

fof(f212,plain,
    ( hskp18
    | hskp20
    | hskp9 ),
    inference(cnf_transformation,[],[f6]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : SYN508+1 : TPTP v8.1.2. Released v2.1.0.
% 0.07/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.35  % Computer : n025.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Apr 30 02:03:02 EDT 2024
% 0.14/0.35  % CPUTime    : 
% 0.14/0.35  % (7679)Running in auto input_syntax mode. Trying TPTP
% 0.14/0.37  % (7685)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.14/0.37  % (7680)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.37  % (7681)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.14/0.37  % (7683)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.14/0.37  % (7682)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.14/0.37  % (7684)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.14/0.37  % (7686)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [2]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  Detected minimum model sizes of [1]
% 0.14/0.38  Detected maximum model sizes of [32]
% 0.14/0.38  TRYING [1]
% 0.14/0.38  TRYING [3]
% 0.14/0.38  TRYING [2]
% 0.14/0.39  Detected minimum model sizes of [1]
% 0.14/0.39  Detected maximum model sizes of [32]
% 0.14/0.39  TRYING [1]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [2]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  TRYING [3]
% 0.14/0.39  TRYING [4]
% 0.14/0.39  % (7685)First to succeed.
% 0.14/0.40  TRYING [4]
% 0.14/0.40  TRYING [5]
% 0.14/0.40  % (7685)Refutation found. Thanks to Tanya!
% 0.14/0.40  % SZS status Theorem for theBenchmark
% 0.14/0.40  % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.41  % (7685)------------------------------
% 0.20/0.41  % (7685)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.20/0.41  % (7685)Termination reason: Refutation
% 0.20/0.41  
% 0.20/0.41  % (7685)Memory used [KB]: 2222
% 0.20/0.41  % (7685)Time elapsed: 0.035 s
% 0.20/0.41  % (7685)Instructions burned: 109 (million)
% 0.20/0.41  % (7685)------------------------------
% 0.20/0.41  % (7685)------------------------------
% 0.20/0.41  % (7679)Success in time 0.042 s
%------------------------------------------------------------------------------